Loading image file :/home/twolf/lisp/psl/linux/red/reduce.img *** Function `!%compactheap' has been redefined ("/home/twolf/para/" "" "$reduce/lisp/psl/linux/red/" "$reduce/lisp/psl/linux/psl/") REDUCE 3.7, 15-Apr-1999, patched to 15-May-2003 ... 1: The name of this new session is: "bu658-4-Oct-" 2: If this file is loaded just for printing then in addition do: in drvlist$ depend {f,b},t,s,x$ lisp <>$ 3: ####### This is the case N1f0b2t10s13w45. ####### The system: 2 b(1) =b(2) *b(1)*p18 + Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 t x 2x 2x 2 + b(2) *p16 + b(1) *p21 + b(1) *b(1)*p13 + b(1) *b(1) *p15 x 5x 3x 2x x 2 + b(1) *b(1) *p17 x 3 b(2) =b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 t 2x x x + Db(1) *Db(2)*p10 + b(2) *p12 + b(2) *b(1)*p2 + b(2) *b(1) *p4 2x 5x 3x 2x x 2 + b(2) *b(1) *p6 + b(2) *b(1) *p5 + b(1) *b(2)*p3 + b(1) *b(2)*b(1)*p7 x x 2x 3x x It's symmetry: 3 b(1) =b(2)*b(1) *q41 + Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*q42 s x 3x + Db(2) *Db(1) *q44 + Db(2) *Db(1)*b(1)*q30 - Db(2) *Db(1) *q45 2x x x x 2x + Db(1) *Db(2)*q43 + Db(1) *Db(2)*b(1)*q28 + Db(1) *Db(1)*b(2)*q29 3x x x 2 + b(2) *q46 + b(2) *b(1)*q31 + b(2) *b(1) *q33 + b(2) *b(1) *q36 6x 4x 3x x 2x 2 + b(2) *b(1) *q35 + b(2) *b(2) *q39 + b(2) *b(1) *q34 + b(2) *b(1) *b(1)*q38 2x 2x x x 3x x x 2 + b(1) *b(2)*q32 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 4x 2x x 2 2 b(2) =b(2) *b(1) *q21 + Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*q23 s x 3x + Db(2) *Db(2) *q25 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 2x x x x + Db(1) *Db(1)*q22 + Db(1) *Db(1) *q24 + Db(1) *Db(1)*b(1)*q6 4x 3x x 2x + Db(1) *Db(2)*b(2)*q2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*q8 x x x 4x 2 2 + b(2) *b(2) *q10 + b(2) *q14 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 3x x 2x 2x x + b(2) *b(1) *b(2)*q17 + b(1) *q26 + b(1) *b(1)*q7 + b(1) *b(1) *q9 x x 7x 5x 4x x 2 2 + b(1) *b(1) *q12 + b(1) *b(1) *q11 + b(1) *b(2) *q16 3x 3x 2x 2x 3 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 + b(1) *b(1) *q19 2x x x x {q45,q44,q43,q42,q30,q29,q28,q27,q25,q24,q23,q22,q6,q5,q4,q3,q2,q1,p20,p19,p11, p10,p9,p1} {p11,p10,p9,p7,p6,p5,p4,p3,p2,p1} {p20,p18,p16,p14} {q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6 ,q5,q4,q3,q2,q1} {q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q29,q28,q27 } Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x df(b(1),s)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x df(b(1),s)=Db(2) *Db(1)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 2x Pairing now degree 2 terms from the system with degree 1 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 2x x x *** Garbage collection starting *** GC 1 4-Oct-2003 16:34:14, 20 ms (0%), 931821 occupied, 24068131 free Pairing now degree 2 terms from the system with degree 2 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=Db(2) *Db(1)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 2x *** Garbage collection starting *** GC 2 4-Oct-2003 16:34:55, 30 ms (0%), 949031 occupied, 24050921 free *** Garbage collection starting *** GC 3 4-Oct-2003 16:36:10, 30 ms (0%), 995433 occupied, 24004519 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x *** Garbage collection starting *** GC 4 4-Oct-2003 16:36:45, 30 ms (0%), 1036177 occupied, 23963775 free *** Garbage collection starting *** GC 5 4-Oct-2003 16:37:29, 30 ms (0%), 1042683 occupied, 23957269 free Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x Pairing now degree 2 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 2x x x *** Garbage collection starting *** GC 6 4-Oct-2003 16:38:11, 30 ms (0%), 1023815 occupied, 23976137 free *** Garbage collection starting *** GC 7 4-Oct-2003 16:38:54, 30 ms (0%), 1019145 occupied, 23980807 free *** Garbage collection starting *** GC 8 4-Oct-2003 16:40:39, 50 ms (0%), 1276625 occupied, 23723327 free Pairing now degree 3 terms from the system with degree 2 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=Db(2) *Db(1)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 2x *** Garbage collection starting *** GC 9 4-Oct-2003 16:41:53, 30 ms (0%), 1121701 occupied, 23878251 free *** Garbage collection starting *** GC 10 4-Oct-2003 16:42:59, 40 ms (0%), 1122855 occupied, 23877097 free *** Garbage collection starting *** GC 11 4-Oct-2003 16:44:50, 30 ms (0%), 1121271 occupied, 23878681 free Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x Pairing now degree 3 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 2x x x *** Garbage collection starting *** GC 12 4-Oct-2003 16:46:56, 30 ms (0%), 1010161 occupied, 23989791 free *** Garbage collection starting *** GC 13 4-Oct-2003 16:49:14, 40 ms (0%), 1285901 occupied, 23714051 free Generating all terms of total degree 7 Pairing now degree 3 terms from the system with degree 4 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x *** Garbage collection starting *** GC 14 4-Oct-2003 16:52:27, 50 ms (0%), 1311893 occupied, 23688059 free Now crack is called. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is CRACK - a solver for overdetermined partial differential equations Enter `h' for help. The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 20 terms *** Garbage collection starting *** GC 15 4-Oct-2003 16:55:13, 30 ms (0%), 1120338 occupied, 23879614 free *** Garbage collection starting *** GC 16 4-Oct-2003 16:55:17, 40 ms (0%), 1138328 occupied, 23861624 free *** Garbage collection starting *** GC 17 4-Oct-2003 16:55:22, 40 ms (0%), 1259782 occupied, 23740170 free *** Garbage collection starting *** GC 18 4-Oct-2003 16:55:58, 40 ms (0%), 1159604 occupied, 23840348 free *** Garbage collection starting *** GC 19 4-Oct-2003 16:56:48, 50 ms (0%), 1262170 occupied, 23737782 free *** Garbage collection starting *** GC 20 4-Oct-2003 16:57:40, 50 ms (0%), 1348848 occupied, 23651104 free *** Garbage collection starting *** GC 21 4-Oct-2003 16:58:34, 60 ms (0%), 1418280 occupied, 23581672 free *** Garbage collection starting *** GC 22 4-Oct-2003 16:59:31, 60 ms (0%), 1471084 occupied, 23528868 free *** Garbage collection starting *** GC 23 4-Oct-2003 17:00:47, 40 ms (0%), 1235330 occupied, 23764622 free *** Garbage collection starting *** GC 24 4-Oct-2003 17:02:02, 40 ms (0%), 1209788 occupied, 23790164 free *** Garbage collection starting *** GC 25 4-Oct-2003 17:02:29, 40 ms (0%), 1261846 occupied, 23738106 free *** Garbage collection starting *** GC 26 4-Oct-2003 17:03:51, 60 ms (0%), 1322758 occupied, 23677194 free *** Garbage collection starting *** GC 27 4-Oct-2003 17:05:14, 50 ms (0%), 1398280 occupied, 23601672 free *** Garbage collection starting *** GC 28 4-Oct-2003 17:06:36, 60 ms (0%), 1472414 occupied, 23527537 free *** Garbage collection starting *** GC 29 4-Oct-2003 17:07:59, 70 ms (0%), 1550890 occupied, 23449043 free *** Garbage collection starting *** GC 30 4-Oct-2003 17:09:23, 70 ms (0%), 1619602 occupied, 23380331 free *** Garbage collection starting *** GC 31 4-Oct-2003 17:10:45, 70 ms (0%), 1694200 occupied, 23305733 free *** Garbage collection starting *** GC 32 4-Oct-2003 17:12:09, 70 ms (0%), 1763826 occupied, 23236107 free *** Garbage collection starting *** GC 33 4-Oct-2003 17:13:32, 80 ms (0%), 1835924 occupied, 23164009 free *** Garbage collection starting *** GC 34 4-Oct-2003 17:14:57, 100 ms (0%), 1907854 occupied, 23092079 free *** Garbage collection starting *** GC 35 4-Oct-2003 17:16:24, 80 ms (0%), 1968806 occupied, 23031127 free *** Garbage collection starting *** GC 36 4-Oct-2003 17:17:51, 90 ms (0%), 2022320 occupied, 22977613 free *** Garbage collection starting *** GC 37 4-Oct-2003 17:19:23, 100 ms (0%), 2214078 occupied, 22785855 free *** Garbage collection starting *** GC 38 4-Oct-2003 17:20:10, 50 ms (0%), 1261602 occupied, 23738350 free *** Garbage collection starting *** GC 39 4-Oct-2003 17:20:46, 40 ms (0%), 1237704 occupied, 23762248 free *** Garbage collection starting *** GC 40 4-Oct-2003 17:21:13, 50 ms (0%), 1275738 occupied, 23724214 free *** Garbage collection starting *** GC 41 4-Oct-2003 17:21:40, 50 ms (0%), 1322712 occupied, 23677235 free *** Garbage collection starting *** GC 42 4-Oct-2003 17:22:09, 50 ms (0%), 1365998 occupied, 23633949 free *** Garbage collection starting *** GC 43 4-Oct-2003 17:22:57, 40 ms (0%), 1246214 occupied, 23753738 free *** Garbage collection starting *** GC 44 4-Oct-2003 17:23:38, 40 ms (0%), 1235836 occupied, 23764116 free *** Garbage collection starting *** GC 45 4-Oct-2003 17:24:15, 50 ms (0%), 1279600 occupied, 23720352 free *** Garbage collection starting *** GC 46 4-Oct-2003 17:24:53, 50 ms (0%), 1324160 occupied, 23675792 free *** Garbage collection starting *** GC 47 4-Oct-2003 17:25:31, 50 ms (0%), 1372552 occupied, 23627400 free *** Garbage collection starting *** GC 48 4-Oct-2003 17:26:10, 60 ms (0%), 1417520 occupied, 23582432 free *** Garbage collection starting *** GC 49 4-Oct-2003 17:26:49, 60 ms (0%), 1457920 occupied, 23542032 free *** Garbage collection starting *** GC 50 4-Oct-2003 17:27:29, 60 ms (0%), 1506616 occupied, 23493336 free *** Garbage collection starting *** GC 51 4-Oct-2003 17:28:12, 60 ms (0%), 1548028 occupied, 23451924 free *** Garbage collection starting *** GC 52 4-Oct-2003 17:28:59, 40 ms (0%), 1221778 occupied, 23778174 free old input: l Select a method by its number that is to be executed repeatedly: old input: 2 To repeat this method as often as possible, enter `;' To repeat this method as often as possible, but at most a number of n times, enter n : old input: ; Step 1: separation w.r.t. x linear independent expressions : 3 3 b(1) *b(2) 4 b(1) *Db(1)*Db(2) 5 b(1) *b(2) x 4 b(1) *b(2)*b(1) x Separation of e_1 yields (e_15 e_14 e_16 e_13) Step 2: separation w.r.t. x linear independent expressions : 4 b(2) b(1)*b(2)*Db(1)*Db(2) 2 b(1) *Db(1)*Db(1) x 2 b(1) *b(2)*b(2) x 3 b(1) *b(1) 2x 2 2 b(1) *b(1) x 2 b(1)*b(2) *b(1) x Separation of e_2 yields (e_22 e_21 e_23 e_19 e_18 e_20 e_17) e_22 is a consequence of e_15. Step 3: separation w.r.t. x linear independent expressions : Db(2)*Db(2) 8x Db(2) *Db(2) x 7x Db(2) *Db(2) 2x 6x Db(2) *Db(2) 3x 5x Db(1)*Db(1) 9x Db(1) *Db(1) x 8x Db(1) *Db(1) 2x 7x Db(1) *Db(1) 3x 6x Db(1) *Db(1) 4x 5x b(2)*b(2) 9x b(2) *b(2) x 8x b(2) *b(2) 2x 7x b(2) *b(2) 3x 6x b(2) *b(2) 4x 5x b(1)*b(1) 10x b(1) *b(1) x 9x b(1) *b(1) 2x 8x b(1) *b(1) 3x 7x b(1) *b(1) 4x 6x 2 b(1) 5x *** Garbage collection starting *** GC 53 4-Oct-2003 17:29:02, 40 ms (0%), 1209316 occupied, 23790636 free Separation of e_10 yields (e_43 e_34 e_42 e_40 e_41 e_39 e_37 e_36 e_35 e_33 e_29 e_38 e_32 e_30 e_31 e_28 e_25 e_24 e_27 e_26) Step 4: separation w.r.t. x linear independent expressions : Db(1)*Db(2) 8x Db(1) *Db(2) x 7x Db(1) *Db(2) 2x 6x Db(1) *Db(2) 3x 5x Db(1) *Db(2) 4x 4x Db(1) *Db(2) 5x 3x Db(1) *Db(2) 6x 2x Db(1) *Db(2) 7x x Db(2)*Db(1) 8x b(1)*b(2) 9x b(1) *b(2) x 8x b(1) *b(2) 2x 7x b(1) *b(2) 3x 6x b(1) *b(2) 4x 5x b(1) *b(2) 5x 4x b(1) *b(2) 6x 3x b(1) *b(2) 7x 2x b(1) *b(2) 8x x b(2)*b(1) 9x Separation of e_9 yields (e_54 e_44 e_62 e_55 e_53 e_45 e_61 e_56 e_57 e_52 e_46 e_58 e_47 e_60 e_59 e_51 e_48 e_50 e_49) e_54 is a consequence of e_43. e_44 is a consequence of e_34. Step 5: separation w.r.t. x linear independent expressions : b(1)*b(2)*b(2) *Db(1)*Db(2) x 2 b(1) *b(1) *Db(1)*Db(2) 2x 2 b(1)*b(1) *Db(1)*Db(2) x 2 b(2) *b(1) *Db(1)*Db(2) x 3 b(1) *Db(1)*Db(2) 2x 2 b(1) *b(2)*Db(2)*Db(2) x 2 b(1)*b(2) *Db(1)*Db(2) x 2 b(1) *b(1) *Db(1)*Db(2) x x 3 b(1) *Db(1) *Db(2) x x 3 b(1) *Db(2)*Db(1) 2x 2 b(1) *b(2)*Db(1)*Db(1) 2x 2 b(1)*b(2) *Db(2)*Db(1) x 2 b(1) *b(1) *Db(2)*Db(1) x x 3 b(2) *Db(1)*Db(1) x 2 b(1) *b(2) *Db(1)*Db(1) x x b(1)*b(2)*b(1) *Db(1)*Db(1) x x 4 b(1) *b(2) 3x 2 2 b(1) *b(2) *b(2) 2x 3 b(1) *b(1) *b(2) x 2x 2 2 b(1) *b(2)*b(2) x 4 b(2) *b(2) x 3 b(1) *b(1) *b(2) 2x x 2 2 b(1) *b(1) *b(2) x x 2 b(1)*b(2) *b(1) *b(2) x x 3 b(1) *b(2)*b(1) 3x 3 b(1)*b(2) *b(1) 2x 2 b(1) *b(2)*b(1) *b(1) x 2x 3 b(1)*b(2)*b(1) x 3 2 b(2) *b(1) x *** Garbage collection starting *** GC 54 4-Oct-2003 17:29:04, 40 ms (0%), 1210676 occupied, 23789276 free *** Garbage collection starting *** GC 55 4-Oct-2003 17:29:07, 50 ms (0%), 1220010 occupied, 23779942 free Separation of e_3 yields (e_78 e_71 e_81 e_82 e_75 e_63 e_88 e_87 e_86 e_83 e_67 e_66 e_85 e_80 e_79 e_91 e_90 e_76 e_77 e_74 e_70 e_65 e_64 e_84 e_73 e_72 e_69 e_89 e_68) Step 6: separation w.r.t. x linear independent expressions : 2 b(1) *b(2) *Db(1)*Db(2) 2x 2 b(2) *b(2) *Db(1)*Db(2) x b(1)*b(1) *b(2) *Db(1)*Db(2) x x b(1)*b(2)*b(1) *Db(1)*Db(2) 2x 2 b(2)*b(1) *Db(1)*Db(2) x 3 b(1) *Db(2)*Db(2) 2x 2 b(1) *b(2)*Db(1)*Db(2) 2x 2 b(1)*b(2) *Db(2)*Db(2) x 2 b(1) *b(1) *Db(2)*Db(2) x x 3 b(2) *Db(1)*Db(2) x 2 b(1) *b(2) *Db(1)*Db(2) x x b(1)*b(2)*b(1) *Db(1)*Db(2) x x 2 b(1) *b(2)*Db(1) *Db(2) x x 3 b(1) *Db(1)*Db(1) 3x 2 b(1) *b(2)*Db(2)*Db(1) 2x 2 b(1)*b(2) *Db(1)*Db(1) 2x 2 b(1) *b(1) *Db(1)*Db(1) x 2x 3 b(1) *Db(1) *Db(1) x 2x 3 b(2) *Db(2)*Db(1) x 2 b(1) *b(2) *Db(2)*Db(1) x x b(1)*b(2)*b(1) *Db(2)*Db(1) x x b(1)*b(2)*b(2) *Db(1)*Db(1) x x 2 b(1) *b(1) *Db(1)*Db(1) 2x x 2 b(1)*b(1) *Db(1)*Db(1) x x 2 b(2) *b(1) *Db(1)*Db(1) x x 3 b(1) *b(2)*b(2) 3x 3 b(1)*b(2) *b(2) 2x 3 b(1) *b(2) *b(2) x 2x 2 b(1) *b(2)*b(1) *b(2) x 2x 2 2 b(1)*b(2) *b(2) x 2 2 b(1) *b(1) *b(2) x x 2 b(1) *b(2)*b(1) *b(2) 2x x 2 b(1)*b(2)*b(1) *b(2) x x 3 b(2) *b(1) *b(2) x x 4 b(1) *b(1) 4x 2 2 b(1) *b(2) *b(1) 3x 3 b(1) *b(1) *b(1) x 3x 3 2 b(1) *b(1) 2x 4 b(2) *b(1) 2x 2 2 b(1) *b(1) *b(1) x 2x 2 b(1)*b(2) *b(1) *b(1) x 2x 4 b(1)*b(1) x 2 3 b(2) *b(1) x *** Garbage collection starting *** GC 56 4-Oct-2003 17:29:16, 40 ms (0%), 1291774 occupied, 23708178 free *** Garbage collection starting *** GC 57 4-Oct-2003 17:29:24, 50 ms (0%), 1228260 occupied, 23771692 free Separation of e_4 yields (e_125 e_116 e_96 e_128 e_129 e_101 e_100 e_133 e_121 e_117 e_109 e_108 e_93 e_127 e_124 e_112 e_97 e_134 e_122 e_111 e_110 e_107 e_92 e_120 e_119 e_105 e_126 e_130 e_118 e_104 e_99 e_98 e_95 e_123 e_115 e_106 e_131 e_114 e_113 e_103 e_94 e_132 e_102) Step 7: separation w.r.t. x linear independent expressions : b(1) *Db(1)*Db(2) 6x b(1)*Db(1)*Db(2) 6x b(2)*Db(2)*Db(2) 5x b(1) *Db(1)*Db(2) x 5x b(1)*Db(1) *Db(2) x 5x b(2) *Db(2)*Db(2) x 4x b(1) *Db(1)*Db(2) 2x 4x b(2)*Db(2) *Db(2) x 4x b(1)*Db(1) *Db(2) 2x 4x b(1) *Db(1) *Db(2) x x 4x b(2) *Db(2)*Db(2) 2x 3x b(1) *Db(1)*Db(2) 3x 3x b(2)*Db(2) *Db(2) 2x 3x b(2) *Db(2) *Db(2) x x 3x b(1)*Db(1) *Db(2) 3x 3x b(1) *Db(1) *Db(2) x 2x 3x b(1) *Db(1) *Db(2) 2x x 3x b(2) *Db(2)*Db(2) 3x 2x b(1) *Db(1)*Db(2) 4x 2x b(2) *Db(2) *Db(2) 2x x 2x b(1)*Db(1) *Db(2) 4x 2x b(1) *Db(1) *Db(2) x 3x 2x b(1) *Db(1) *Db(2) 2x 2x 2x b(1) *Db(1) *Db(2) 3x x 2x b(2) *Db(2)*Db(2) 4x x b(1) *Db(1)*Db(2) 5x x b(1)*Db(1) *Db(2) 5x x b(1) *Db(1) *Db(2) x 4x x b(1) *Db(1) *Db(2) 2x 3x x b(1) *Db(1) *Db(2) 3x 2x x b(1) *Db(1) *Db(2) 4x x x b(1)*Db(2)*Db(1) 6x b(2)*Db(1)*Db(1) 6x b(1) *Db(2)*Db(1) x 5x b(2) *Db(1)*Db(1) x 5x b(2)*Db(1) *Db(1) x 5x b(1) *Db(2)*Db(1) 2x 4x b(2) *Db(1)*Db(1) 2x 4x b(2)*Db(1) *Db(1) 2x 4x b(2) *Db(1) *Db(1) x x 4x b(1) *Db(2)*Db(1) 3x 3x b(2) *Db(1)*Db(1) 3x 3x b(2) *Db(1) *Db(1) x 2x 3x b(2) *Db(1) *Db(1) 2x x 3x b(1) *Db(2)*Db(1) 4x 2x b(2) *Db(1)*Db(1) 4x 2x b(2) *Db(1) *Db(1) 3x x 2x b(1) *Db(2)*Db(1) 5x x b(2) *Db(1)*Db(1) 5x x 2 b(1) *b(2) 7x 2 b(2) *b(2) 6x b(1)*b(1) *b(2) x 6x b(2)*b(2) *b(2) x 5x b(1)*b(1) *b(2) 2x 5x 2 b(1) *b(2) x 5x b(2)*b(2) *b(2) 2x 4x 2 b(2) *b(2) x 4x b(1)*b(1) *b(2) 3x 4x b(1) *b(1) *b(2) x 2x 4x 2 b(2)*b(2) 3x b(2) *b(2) *b(2) x 2x 3x b(1)*b(1) *b(2) 4x 3x b(1) *b(1) *b(2) x 3x 3x 2 b(1) *b(2) 2x 3x 3 b(2) 2x b(1)*b(1) *b(2) 5x 2x b(1) *b(1) *b(2) x 4x 2x b(1) *b(1) *b(2) 2x 3x 2x b(1)*b(1) *b(2) 6x x b(1) *b(1) *b(2) x 5x x b(1) *b(1) *b(2) 2x 4x x 2 b(1) *b(2) 3x x b(1)*b(2)*b(1) 7x b(2)*b(1) *b(1) x 6x b(2)*b(1) *b(1) 2x 5x b(2)*b(1) *b(1) 3x 4x *** Garbage collection starting *** GC 58 4-Oct-2003 17:29:28, 50 ms (0%), 1274598 occupied, 23725354 free *** Garbage collection starting *** GC 59 4-Oct-2003 17:30:10, 60 ms (0%), 1424022 occupied, 23575929 free *** Garbage collection starting *** GC 60 4-Oct-2003 17:31:35, 70 ms (0%), 1580796 occupied, 23419154 free *** Garbage collection starting *** GC 61 4-Oct-2003 17:33:42, 70 ms (0%), 1707774 occupied, 23292175 free *** Garbage collection starting *** GC 62 4-Oct-2003 17:34:40, 50 ms (0%), 1235482 occupied, 23764470 free *** Garbage collection starting *** GC 63 4-Oct-2003 17:34:42, 50 ms (0%), 1248050 occupied, 23751902 free *** Garbage collection starting *** GC 64 4-Oct-2003 17:34:45, 50 ms (0%), 1259062 occupied, 23740890 free Separation of e_7 yields (e_178 e_179 e_208 e_138 e_203 e_198 e_175 e_172 e_146 e_184 e_161 e_160 e_137 e_209 e_193 e_176 e_171 e_154 e_151 e_142 e_210 e_205 e_190 e_177 e_206 e_191 e_168 e_158 e_155 e_139 e_136 e_135 e_197 e_196 e_186 e_167 e_156 e_147 e_145 e_202 e_201 e_200 e_183 e_174 e_173 e_170 e_163 e_150 e_141 e_207 e_194 e_164 e_162 e_159 e_189 e_185 e_166 e_149 e_140 e_195 e_187 e_182 e_181 e_180 e_157 e_153 e_152 e_148 e_144 e_143 e_204 e_188 e_169 e_165 e_199 e_192) Step 8: separation w.r.t. x linear independent expressions : b(2)*b(2) *Db(1)*Db(2) 3x b(2) *b(2) *Db(1)*Db(2) x 2x b(1)*b(1) *Db(1)*Db(2) 4x b(1) *b(1) *Db(1)*Db(2) x 3x 2 b(1) *Db(1)*Db(2) 2x 2 b(1) *Db(1)*Db(2) 4x b(1)*b(2)*Db(2)*Db(2) 3x 2 b(2) *Db(1)*Db(2) 3x b(1)*b(1) *Db(1)*Db(2) x 3x 2 b(1) *Db(1) *Db(2) x 3x b(1)*b(2) *Db(2)*Db(2) x 2x b(2)*b(1) *Db(2)*Db(2) x 2x b(2)*b(2) *Db(1)*Db(2) x 2x b(1)*b(1) *Db(1)*Db(2) 2x 2x 2 b(1) *Db(1)*Db(2) x 2x b(1)*b(2)*Db(2) *Db(2) x 2x 2 b(1) *Db(1) *Db(2) 2x 2x 2 b(2) *Db(1) *Db(2) x 2x b(1)*b(1) *Db(1) *Db(2) x x 2x b(1)*b(2) *Db(2)*Db(2) 2x x b(1) *b(2) *Db(2)*Db(2) x x x b(2)*b(1) *Db(2)*Db(2) 2x x b(2)*b(2) *Db(1)*Db(2) 2x x 2 b(2) *Db(1)*Db(2) x x b(1)*b(1) *Db(1)*Db(2) 3x x b(1) *b(1) *Db(1)*Db(2) x 2x x 2 b(1) *Db(1) *Db(2) 3x x 2 b(2) *Db(1) *Db(2) 2x x b(1)*b(1) *Db(1) *Db(2) x 2x x b(2)*b(2) *Db(1) *Db(2) x x x b(1)*b(1) *Db(1) *Db(2) 2x x x 2 b(1) *Db(1) *Db(2) x x x 2 b(1) *Db(2)*Db(1) 4x b(1)*b(2)*Db(1)*Db(1) 4x 2 b(2) *Db(2)*Db(1) 3x b(1)*b(1) *Db(2)*Db(1) x 3x b(1)*b(2) *Db(1)*Db(1) x 3x b(2)*b(1) *Db(1)*Db(1) x 3x b(1)*b(2)*Db(1) *Db(1) x 3x b(2)*b(2) *Db(2)*Db(1) x 2x b(1)*b(1) *Db(2)*Db(1) 2x 2x 2 b(1) *Db(2)*Db(1) x 2x b(1)*b(2) *Db(1)*Db(1) 2x 2x b(1) *b(2) *Db(1)*Db(1) x x 2x b(2)*b(1) *Db(1)*Db(1) 2x 2x Db(1)*Db(2)*Db(1) *Db(1) x 2x b(1)*b(2) *Db(1) *Db(1) x x 2x b(2)*b(1) *Db(1) *Db(1) x x 2x b(2)*b(2) *Db(2)*Db(1) 2x x 2 b(2) *Db(2)*Db(1) x x b(1)*b(1) *Db(2)*Db(1) 3x x b(1) *b(1) *Db(2)*Db(1) x 2x x b(1)*b(2) *Db(1)*Db(1) 3x x b(1) *b(2) *Db(1)*Db(1) x 2x x b(1) *b(2) *Db(1)*Db(1) 2x x x b(2)*b(1) *Db(1)*Db(1) 3x x 3 b(1) *b(2) 5x 2 b(1)*b(2) *b(2) 4x 2 b(1) *b(1) *b(2) x 4x b(1)*b(2)*b(2) *b(2) x 3x 2 b(1) *b(1) *b(2) 2x 3x 2 b(1)*b(1) *b(2) x 3x 2 b(2) *b(1) *b(2) x 3x 2 b(1)*b(2)*b(2) 2x 2 b(1)*b(2) *b(2) x 2x b(2)*b(1) *b(2) *b(2) x x 2x 2 b(1) *b(1) *b(2) 3x 2x 2 b(2) *b(1) *b(2) 2x 2x b(1)*b(1) *b(1) *b(2) x 2x 2x 3 b(1) *b(2) x 2x 3 b(1) *b(2) x x 2 b(2)*b(1) *b(2) 2x x 2 b(1) *b(1) *b(2) 4x x 2 b(2) *b(1) *b(2) 3x x b(1)*b(1) *b(1) *b(2) x 3x x 2 b(1)*b(1) *b(2) 2x x 2 b(1) *b(1) *b(2) x 2x x 2 b(1) *b(2)*b(1) 5x 3 b(2) *b(1) 4x b(1)*b(2)*b(1) *b(1) x 4x b(1)*b(2)*b(1) *b(1) 2x 3x 2 b(2)*b(1) *b(1) x 3x 2 b(2)*b(1) *b(1) x 2x *** Garbage collection starting *** GC 65 4-Oct-2003 17:35:00, 50 ms (0%), 1328990 occupied, 23670962 free *** Garbage collection starting *** GC 66 4-Oct-2003 17:36:07, 60 ms (0%), 1443806 occupied, 23556145 free *** Garbage collection starting *** GC 67 4-Oct-2003 17:37:57, 70 ms (0%), 1570652 occupied, 23429299 free *** Garbage collection starting *** GC 68 4-Oct-2003 17:40:23, 80 ms (0%), 1691408 occupied, 23308543 free *** Garbage collection starting *** GC 69 4-Oct-2003 17:42:44, 50 ms (0%), 1250108 occupied, 23749844 free *** Garbage collection starting *** GC 70 4-Oct-2003 17:42:47, 40 ms (0%), 1256696 occupied, 23743256 free *** Garbage collection starting *** GC 71 4-Oct-2003 17:42:49, 50 ms (0%), 1267730 occupied, 23732222 free Separation of e_5 yields (e_261 e_248 e_215 e_260 e_259 e_216 e_286 e_276 e_246 e_237 e_223 e_288 e_287 e_278 e_267 e_266 e_256 e_255 e_236 e_284 e_282 e_272 e_270 e_249 e_231 e_220 e_211 e_293 e_277 e_244 e_238 e_226 e_224 e_221 e_289 e_283 e_281 e_271 e_254 e_242 e_230 e_229 e_214 e_212 e_292 e_274 e_273 e_262 e_258 e_247 e_245 e_222 e_291 e_264 e_257 e_252 e_235 e_227 e_218 e_217 e_213 e_253 e_243 e_234 e_233 e_232 e_263 e_239 e_228 e_279 e_275 e_290 e_285 e_265 e_251 e_219 e_269 e_250 e_241 e_268 e_240 e_280 e_225) Step 9: separation w.r.t. x linear independent expressions : b(2) *Db(1)*Db(2) 6x b(1)*Db(2)*Db(2) 6x b(2)*Db(1)*Db(2) 6x b(1) *Db(2)*Db(2) x 5x b(2) *Db(1)*Db(2) x 5x b(1)*Db(2) *Db(2) x 5x b(2)*Db(1) *Db(2) x 5x b(1) *Db(2)*Db(2) 2x 4x b(2) *Db(1)*Db(2) 2x 4x b(1)*Db(2) *Db(2) 2x 4x b(1) *Db(2) *Db(2) x x 4x b(2)*Db(1) *Db(2) 2x 4x b(2) *Db(1) *Db(2) x x 4x b(1) *Db(2)*Db(2) 3x 3x b(2) *Db(1)*Db(2) 3x 3x b(1) *Db(2) *Db(2) x 2x 3x b(1) *Db(2) *Db(2) 2x x 3x b(2)*Db(1) *Db(2) 3x 3x b(2) *Db(1) *Db(2) x 2x 3x b(2) *Db(1) *Db(2) 2x x 3x b(1) *Db(2)*Db(2) 4x 2x b(2) *Db(1)*Db(2) 4x 2x b(1) *Db(2) *Db(2) 3x x 2x b(2)*Db(1) *Db(2) 4x 2x b(2) *Db(1) *Db(2) x 3x 2x b(2) *Db(1) *Db(2) 2x 2x 2x b(2) *Db(1) *Db(2) 3x x 2x b(1) *Db(2)*Db(2) 5x x b(2) *Db(1)*Db(2) 5x x b(2)*Db(1) *Db(2) 5x x b(2) *Db(1) *Db(2) x 4x x b(2) *Db(1) *Db(2) 2x 3x x b(2) *Db(1) *Db(2) 3x 2x x b(2) *Db(1) *Db(2) 4x x x b(1)*Db(1)*Db(1) 7x b(2)*Db(2)*Db(1) 6x b(1) *Db(1)*Db(1) x 6x b(1)*Db(1) *Db(1) x 6x b(2) *Db(2)*Db(1) x 5x b(1) *Db(1)*Db(1) 2x 5x b(1)*Db(1) *Db(1) 2x 5x b(1) *Db(1) *Db(1) x x 5x b(2) *Db(2)*Db(1) 2x 4x b(1) *Db(1)*Db(1) 3x 4x b(1)*Db(1) *Db(1) 3x 4x b(1) *Db(1) *Db(1) x 2x 4x b(1) *Db(1) *Db(1) 2x x 4x b(2) *Db(2)*Db(1) 3x 3x b(1) *Db(1)*Db(1) 4x 3x b(1) *Db(1) *Db(1) 2x 2x 3x b(1) *Db(1) *Db(1) 3x x 3x b(2) *Db(2)*Db(1) 4x 2x b(1) *Db(1)*Db(1) 5x 2x b(1) *Db(1) *Db(1) 4x x 2x b(2) *Db(2)*Db(1) 5x x b(1) *Db(1)*Db(1) 6x x b(1)*b(2)*b(2) 7x b(1)*b(2) *b(2) x 6x b(2)*b(1) *b(2) x 6x b(1)*b(2) *b(2) 2x 5x b(1) *b(2) *b(2) x x 5x b(2)*b(1) *b(2) 2x 5x b(1)*b(2) *b(2) 3x 4x b(1) *b(2) *b(2) x 2x 4x b(1) *b(2) *b(2) 2x x 4x b(2)*b(1) *b(2) 3x 4x 2 b(1) *b(2) x 3x b(1) *b(2) *b(2) 2x 2x 3x b(1) *b(2) *b(2) 3x x 3x b(2)*b(1) *b(2) 4x 3x 2 b(1) *b(2) 3x 2x b(1) *b(2) *b(2) 4x x 2x b(2)*b(1) *b(2) 5x 2x 2 b(1) *b(2) 5x x b(2)*b(1) *b(2) 6x x 2 b(1) *b(1) 8x 2 b(2) *b(1) 7x b(1)*b(1) *b(1) x 7x b(1)*b(1) *b(1) 2x 6x 2 b(1) *b(1) x 6x b(1)*b(1) *b(1) 3x 5x b(1) *b(1) *b(1) x 2x 5x 2 b(1)*b(1) 4x b(1) *b(1) *b(1) x 3x 4x 2 b(1) *b(1) 2x 4x 2 b(1) *b(1) 2x 3x *** Garbage collection starting *** GC 72 4-Oct-2003 17:42:51, 40 ms (0%), 1264046 occupied, 23735906 free *** Garbage collection starting *** GC 73 4-Oct-2003 17:43:24, 60 ms (0%), 1391796 occupied, 23608156 free *** Garbage collection starting *** GC 74 4-Oct-2003 17:44:56, 60 ms (0%), 1511024 occupied, 23488928 free *** Garbage collection starting *** GC 75 4-Oct-2003 17:47:01, 80 ms (0%), 1649970 occupied, 23349981 free *** Garbage collection starting *** GC 76 4-Oct-2003 17:49:41, 80 ms (0%), 1729878 occupied, 23270073 free *** Garbage collection starting *** GC 77 4-Oct-2003 17:52:31, 50 ms (0%), 1260482 occupied, 23739470 free *** Garbage collection starting *** GC 78 4-Oct-2003 17:52:33, 50 ms (0%), 1271344 occupied, 23728608 free *** Garbage collection starting *** GC 79 4-Oct-2003 17:52:35, 50 ms (0%), 1285280 occupied, 23714672 free *** Garbage collection starting *** GC 80 4-Oct-2003 17:52:37, 50 ms (0%), 1294606 occupied, 23705346 free Separation of e_8 yields (e_377 e_378 e_374 e_323 e_373 e_370 e_344 e_342 e_339 e_335 e_304 e_303 e_376 e_375 e_368 e_345 e_322 e_321 e_379 e_369 e_364 e_330 e_320 e_317 e_297 e_294 e_350 e_334 e_331 e_329 e_318 e_313 e_300 e_295 e_371 e_361 e_319 e_316 e_306 e_305 e_372 e_367 e_365 e_363 e_362 e_358 e_356 e_351 e_343 e_341 e_336 e_326 e_302 e_301 e_299 e_296 e_340 e_338 e_325 e_315 e_309 e_360 e_354 e_333 e_324 e_314 e_312 e_357 e_353 e_328 e_327 e_307 e_366 e_352 e_349 e_347 e_311 e_310 e_298 e_346 e_337 e_355 e_308 e_359 e_348 e_332) e_377 is a consequence of e_178. e_378 is a consequence of e_179. e_323 is a consequence of e_138. Step 10: separation w.r.t. x linear independent expressions : b(1)*b(2) *Db(1)*Db(2) 4x b(1) *b(2) *Db(1)*Db(2) x 3x b(1) *b(2) *Db(1)*Db(2) 2x 2x b(1) *b(2) *Db(1)*Db(2) 3x x b(2)*b(1) *Db(1)*Db(2) 4x 2 b(1) *Db(2)*Db(2) 4x b(1)*b(2)*Db(1)*Db(2) 4x 2 b(2) *Db(2)*Db(2) 3x b(1)*b(1) *Db(2)*Db(2) x 3x b(1)*b(2) *Db(1)*Db(2) x 3x b(2)*b(1) *Db(1)*Db(2) x 3x 2 b(1) *Db(2) *Db(2) x 3x b(1)*b(2)*Db(1) *Db(2) x 3x b(2)*b(2) *Db(2)*Db(2) x 2x b(1)*b(1) *Db(2)*Db(2) 2x 2x 2 b(1) *Db(2)*Db(2) x 2x b(1)*b(2) *Db(1)*Db(2) 2x 2x b(1) *b(2) *Db(1)*Db(2) x x 2x b(2)*b(1) *Db(1)*Db(2) 2x 2x 2 b(2) *Db(2) *Db(2) x 2x b(1)*b(1) *Db(2) *Db(2) x x 2x b(1)*b(2)*Db(1) *Db(2) 2x 2x Db(1)*Db(2)*Db(1) *Db(2) x 2x b(1)*b(2) *Db(1) *Db(2) x x 2x b(2)*b(1) *Db(1) *Db(2) x x 2x b(2)*b(2) *Db(2)*Db(2) 2x x 2 b(2) *Db(2)*Db(2) x x b(1)*b(1) *Db(2)*Db(2) 3x x b(1) *b(1) *Db(2)*Db(2) x 2x x b(1)*b(2) *Db(1)*Db(2) 3x x b(1) *b(2) *Db(1)*Db(2) x 2x x b(1) *b(2) *Db(1)*Db(2) 2x x x b(2)*b(1) *Db(1)*Db(2) 3x x b(1)*b(2)*Db(1) *Db(2) 3x x Db(1)*Db(2)*Db(1) *Db(2) 2x x b(1)*b(2) *Db(1) *Db(2) x 2x x b(2)*b(1) *Db(1) *Db(2) x 2x x b(1)*b(2) *Db(1) *Db(2) 2x x x b(1) *b(2) *Db(1) *Db(2) x x x x b(2)*b(1) *Db(1) *Db(2) 2x x x 2 b(1) *Db(1)*Db(1) 5x b(1)*b(2)*Db(2)*Db(1) 4x 2 b(2) *Db(1)*Db(1) 4x b(1)*b(1) *Db(1)*Db(1) x 4x 2 b(1) *Db(1) *Db(1) x 4x b(1)*b(2) *Db(2)*Db(1) x 3x b(2)*b(1) *Db(2)*Db(1) x 3x b(2)*b(2) *Db(1)*Db(1) x 3x b(1)*b(1) *Db(1)*Db(1) 2x 3x 2 b(1) *Db(1)*Db(1) x 3x 2 b(1) *Db(1) *Db(1) 2x 3x 2 b(2) *Db(1) *Db(1) x 3x b(1)*b(1) *Db(1) *Db(1) x x 3x b(1)*b(2) *Db(2)*Db(1) 2x 2x b(1) *b(2) *Db(2)*Db(1) x x 2x b(2)*b(1) *Db(2)*Db(1) 2x 2x b(2)*b(2) *Db(1)*Db(1) 2x 2x 2 b(2) *Db(1)*Db(1) x 2x b(1)*b(1) *Db(1)*Db(1) 3x 2x b(1) *b(1) *Db(1)*Db(1) x 2x 2x b(2)*b(2) *Db(1) *Db(1) x x 2x b(1)*b(1) *Db(1) *Db(1) 2x x 2x 2 b(1) *Db(1) *Db(1) x x 2x b(1)*b(2) *Db(2)*Db(1) 3x x b(1) *b(2) *Db(2)*Db(1) x 2x x b(1) *b(2) *Db(2)*Db(1) 2x x x b(2)*b(1) *Db(2)*Db(1) 3x x b(2)*b(2) *Db(1)*Db(1) 3x x b(2) *b(2) *Db(1)*Db(1) x 2x x b(1)*b(1) *Db(1)*Db(1) 4x x b(1) *b(1) *Db(1)*Db(1) x 3x x 2 b(1) *Db(1)*Db(1) 2x x 2 b(1) *b(2)*b(2) 5x 3 b(2) *b(2) 4x 2 b(1) *b(2) *b(2) x 4x b(1)*b(2)*b(1) *b(2) x 4x 2 b(1) *b(2) *b(2) 2x 3x 2 b(2) *b(2) *b(2) x 3x b(1)*b(1) *b(2) *b(2) x x 3x b(1)*b(2)*b(1) *b(2) 2x 3x 2 b(2)*b(1) *b(2) x 3x 2 2 b(2) *b(2) 2x 2 b(1)*b(1) *b(2) x 2x 2 b(2)*b(2) *b(2) x 2x b(1)*b(1) *b(2) *b(2) 2x x 2x 2 b(1) *b(2) *b(2) x x 2x b(1)*b(2)*b(1) *b(2) 3x 2x b(2)*b(1) *b(1) *b(2) x 2x 2x 4 b(2) x 2 b(1)*b(1) *b(2) 3x x 2 b(1) *b(1) *b(2) x 2x x b(1)*b(2)*b(1) *b(2) 4x x b(2)*b(1) *b(1) *b(2) x 3x x 2 b(2)*b(1) *b(2) 2x x 3 b(1) *b(1) 6x 2 b(1)*b(2) *b(1) 5x 2 b(1) *b(1) *b(1) x 5x 2 b(1) *b(1) *b(1) 2x 4x 2 b(1)*b(1) *b(1) x 4x 2 b(2) *b(1) *b(1) x 4x 2 2 b(1) *b(1) 3x 2 b(2) *b(1) *b(1) 2x 3x b(1)*b(1) *b(1) *b(1) x 2x 3x 3 b(1) *b(1) x 3x 3 b(1)*b(1) 2x 2 2 b(1) *b(1) x 2x *** Garbage collection starting *** GC 81 4-Oct-2003 17:52:55, 60 ms (0%), 1394312 occupied, 23605640 free *** Garbage collection starting *** GC 82 4-Oct-2003 17:54:02, 60 ms (0%), 1493394 occupied, 23506558 free *** Garbage collection starting *** GC 83 4-Oct-2003 17:55:50, 70 ms (0%), 1639796 occupied, 23360156 free *** Garbage collection starting *** GC 84 4-Oct-2003 17:58:10, 90 ms (0%), 1765398 occupied, 23234554 free *** Garbage collection starting *** GC 85 4-Oct-2003 18:00:56, 90 ms (0%), 1912644 occupied, 23087308 free *** Garbage collection starting *** GC 86 4-Oct-2003 18:04:06, 100 ms (0%), 2051116 occupied, 22948835 free *** Garbage collection starting *** GC 87 4-Oct-2003 18:07:45, 100 ms (0%), 2121138 occupied, 22878813 free *** Garbage collection starting *** GC 88 4-Oct-2003 18:11:53, 110 ms (0%), 2197032 occupied, 22802919 free *** Garbage collection starting *** GC 89 4-Oct-2003 18:16:17, 110 ms (0%), 2324234 occupied, 22675717 free *** Garbage collection starting *** GC 90 4-Oct-2003 18:18:19, 50 ms (0%), 1292506 occupied, 23707446 free *** Garbage collection starting *** GC 91 4-Oct-2003 18:18:21, 60 ms (0%), 1297968 occupied, 23701984 free *** Garbage collection starting *** GC 92 4-Oct-2003 18:18:23, 50 ms (0%), 1310350 occupied, 23689602 free *** Garbage collection starting *** GC 93 4-Oct-2003 18:18:25, 60 ms (0%), 1317612 occupied, 23682340 free *** Garbage collection starting *** GC 94 4-Oct-2003 18:18:27, 50 ms (0%), 1331260 occupied, 23668692 free Separation of e_6 yields (e_480 e_474 e_412 e_397 e_479 e_478 e_413 e_466 e_443 e_435 e_434 e_391 e_445 e_441 e_411 e_404 e_381 e_459 e_414 e_409 e_408 e_475 e_473 e_472 e_424 e_385 e_382 e_380 e_460 e_433 e_425 e_402 e_390 e_384 e_477 e_476 e_444 e_430 e_410 e_386 e_485 e_465 e_464 e_446 e_438 e_428 e_423 e_392 e_388 e_387 e_467 e_456 e_436 e_427 e_405 e_403 e_389 e_481 e_470 e_469 e_463 e_452 e_451 e_439 e_437 e_418 e_416 e_395 e_461 e_449 e_442 e_429 e_426 e_419 e_415 e_407 e_396 e_462 e_406 e_400 e_383 e_453 e_448 e_431 e_417 e_484 e_468 e_450 e_422 e_420 e_398 e_394 e_393 e_471 e_457 e_455 e_454 e_440 e_483 e_482 e_458 e_432 e_401 e_399 e_421 e_447) e_480 is a consequence of e_261. e_479 is a consequence of e_260. e_413 is a consequence of e_216. Step 11: old input: cp Please type in a list of the numbers 1 .. 60, like 1,2,5,4,..,15; which will be the new priority list of procedures done by CRACK. Numbers stand for the following actions: 1 : Hot list of urgent steps 2 : Direct separation 3 : Substitution of <=2 terms, only fcts. of less vars., no cases 4 : Substitution of <=2 terms, alg. expressions, no cases 5 : Substitution of <=1000 terms, alg. expressions, no cases 6 : Substitution, minimal growth, with max 100 add. terms, no cases 7 : Integration of a first order de with at most two terms. 8 : Factorization to subcases leading to substitutions 9 : Substitution of derivatives by new functions 10 : Indirect separation of <6 or >300 terms 11 : Algebraic length reduction of equations 12 : Find and drop linear dependent general equations 13 : Find a linear dependent equation with only 1 term 14 : Triangularize a linear algebraic system 15 : Substitution of <=8 terms in <=1000 terms, fcts. of less vars. 16 : Substitution of <=20 terms in <=1000 terms 17 : Substitution of <=1000 terms, minimal growth 18 : Substitution of <=1000 terms, fcts. of less vars., no cases 19 : Substitution of <=1000 terms only linear expressions, f-indep. coeff. 20 : Substitution of <=1000 terms, no cases 21 : Substitution of <=1000 terms 22 : The parametric solution of underdetermined ODE 23 : The parametric solution of underdetermined PDE 24 : Integration of a pde such that a function can be subst. 25 : Any integration 26 : Indirect separation of equations of any size 27 : Length reducing decoupling steps 28 : Delete redundant equations 29 : Integrate an identity 30 : Do one decoupling step 31 : Differentiate pdes with nonlinear leading derivs 32 : Differentiate indirectly separable equations 33 : Find an integrating factor for a set of pde's 34 : Solving an algebraic equation. 35 : Solving equations for fnct.s or deriv.s algebraically 36 : Undo Substitutions of derivatives by new functions 37 : Changing the list of priorities 38 : Stop batch mode 39 : Find a transformation to integrate a 1st order PDE 40 : Drop redundant functions and constants 41 : Solve a subset of equations first 42 : Find and drop linear dependent bi-linear equations 43 : Find factorizable bi-linear equations 44 : Consider a given expression to be zero and non-zero 45 : Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases 46 : Find symmetries and then first integrals for an ODE 47 : Any factorization 48 : Alternative indirect separation of non-lin equations 49 : Find sub-systems with 2 non-flin_ functions 50 : Find sub-systems with 3 non-flin_ functions 51 : Find sub-systems with 4 non-flin_ functions 52 : Find sub-systems with 5 non-flin_ functions 53 : Find sub-systems with 2 flin_ functions 54 : Find sub-systems with 3 flin_ functions 55 : Find sub-systems with 4 flin_ functions 56 : Find sub-systems with 5 flin_ functions 57 : Do one high priority decoupling step 58 : user_defined 59 : Computation of the algebraic Groebner basis 60 : Check whether a given solution is contained The list so far was: 1,2,3,4,7,8,47,9,15,16,18,19,20,21,24,26,27,30,25,22,32, 34,36; old input: (*comma* 1 3 45 11 27 8 20 30 47 21 38) old input: s number of equations : 466 total no of terms : 4622 total no of factors : 9232 466 equations in 0 variables: e_447(23),e_421(21),e_483(20),e_482(20),e_458(20),e_432(20),e_401(20), e_399(20),e_280(19),e_225(19),e_332(19),e_471(19),e_457(19),e_455(19), e_454(19),e_440(19),e_268(18),e_240(18),e_359(18),e_348(18),e_484(18), e_468(18),e_450(18),e_422(18),e_420(18),e_398(18),e_394(18),e_393(18), e_199(17),e_192(17),e_269(17),e_250(17),e_241(17),e_355(17),e_308(17), e_453(17),e_448(17),e_431(17),e_417(17),e_290(16),e_285(16),e_265(16), e_251(16),e_219(16),e_346(16),e_337(16),e_462(16),e_406(16),e_400(16), e_383(16),e_102(15),e_204(15),e_188(15),e_169(15),e_165(15),e_279(15), e_275(15),e_366(15),e_352(15),e_349(15),e_347(15),e_311(15),e_310(15), e_298(15),e_461(15),e_449(15),e_442(15),e_429(15),e_426(15),e_419(15), e_415(15),e_407(15),e_396(15),e_132(14),e_195(14),e_187(14),e_182(14), e_181(14),e_180(14),e_157(14),e_153(14),e_152(14),e_148(14),e_144(14), e_143(14),e_263(14),e_239(14),e_228(14),e_357(14),e_353(14),e_328(14), e_327(14),e_307(14),e_481(14),e_470(14),e_469(14),e_463(14),e_452(14), e_451(14),e_439(14),e_437(14),e_418(14),e_416(14),e_395(14),e_131(13), e_114(13),e_113(13),e_103(13),e_94(13),e_189(13),e_185(13),e_166(13), e_149(13),e_140(13),e_253(13),e_243(13),e_234(13),e_233(13),e_232(13), e_360(13),e_354(13),e_333(13),e_324(13),e_314(13),e_312(13),e_467(13), e_456(13),e_436(13),e_427(13),e_405(13),e_403(13),e_389(13),e_207(12), e_194(12),e_164(12),e_162(12),e_159(12),e_291(12),e_264(12),e_257(12), e_252(12),e_235(12),e_227(12),e_218(12),e_217(12),e_213(12),e_340(12), e_338(12),e_325(12),e_315(12),e_309(12),e_485(12),e_465(12),e_464(12), e_446(12),e_438(12),e_428(12),e_423(12),e_392(12),e_388(12),e_387(12), e_123(11),e_115(11),e_106(11),e_202(11),e_201(11),e_200(11),e_183(11), e_174(11),e_173(11),e_170(11),e_163(11),e_150(11),e_141(11),e_292(11), e_274(11),e_273(11),e_262(11),e_258(11),e_247(11),e_245(11),e_222(11), e_372(11),e_367(11),e_365(11),e_363(11),e_362(11),e_358(11),e_356(11), e_351(11),e_343(11),e_341(11),e_336(11),e_326(11),e_302(11),e_301(11), e_299(11),e_296(11),e_477(11),e_476(11),e_444(11),e_430(11),e_410(11), e_386(11),e_50(10),e_49(10),e_89(10),e_68(10),e_130(10),e_118(10), e_104(10),e_99(10),e_98(10),e_95(10),e_197(10),e_196(10),e_186(10), e_167(10),e_156(10),e_147(10),e_145(10),e_289(10),e_283(10),e_281(10), e_271(10),e_254(10),e_242(10),e_230(10),e_229(10),e_214(10),e_212(10), e_371(10),e_361(10),e_319(10),e_316(10),e_306(10),e_305(10),e_460(10), e_433(10),e_425(10),e_402(10),e_390(10),e_384(10),e_84(9),e_73(9), e_72(9),e_69(9),e_126(9),e_206(9),e_191(9),e_168(9),e_158(9),e_155(9), e_139(9),e_136(9),e_135(9),e_293(9),e_277(9),e_244(9),e_238(9), e_226(9),e_224(9),e_221(9),e_350(9),e_334(9),e_331(9),e_329(9), e_318(9),e_313(9),e_300(9),e_295(9),e_475(9),e_473(9),e_472(9), e_424(9),e_385(9),e_382(9),e_380(9),e_60(8),e_59(8),e_51(8),e_48(8), e_77(8),e_74(8),e_70(8),e_65(8),e_64(8),e_120(8),e_119(8),e_105(8), e_210(8),e_205(8),e_190(8),e_177(8),e_284(8),e_282(8),e_272(8), e_270(8),e_249(8),e_231(8),e_220(8),e_211(8),e_379(8),e_369(8), e_364(8),e_330(8),e_320(8),e_317(8),e_297(8),e_294(8),e_459(8), e_414(8),e_409(8),e_408(8),e_27(7),e_26(7),e_58(7),e_47(7),e_91(7), e_90(7),e_76(7),e_134(7),e_122(7),e_111(7),e_110(7),e_107(7),e_92(7), e_209(7),e_193(7),e_176(7),e_171(7),e_154(7),e_151(7),e_142(7), e_288(7),e_287(7),e_278(7),e_267(7),e_266(7),e_256(7),e_255(7), e_236(7),e_376(7),e_375(7),e_368(7),e_345(7),e_322(7),e_321(7), e_445(7),e_441(7),e_411(7),e_404(7),e_381(7),e_17(6),e_31(6),e_28(6), e_25(6),e_24(6),e_57(6),e_52(6),e_46(6),e_85(6),e_80(6),e_79(6), e_127(6),e_124(6),e_112(6),e_97(6),e_184(6),e_161(6),e_160(6),e_137(6), e_276(6),e_246(6),e_237(6),e_223(6),e_344(6),e_342(6),e_339(6), e_335(6),e_304(6),e_303(6),e_443(6),e_435(6),e_434(6),e_391(6), e_38(5),e_32(5),e_30(5),e_61(5),e_56(5),e_88(5),e_87(5),e_86(5), e_83(5),e_67(5),e_66(5),e_133(5),e_121(5),e_117(5),e_109(5),e_108(5), e_93(5),e_203(5),e_198(5),e_175(5),e_172(5),e_146(5),e_286(5),e_373(5), e_370(5),e_466(5),e_41(4),e_39(4),e_37(4),e_36(4),e_35(4),e_33(4), e_29(4),e_62(4),e_55(4),e_53(4),e_45(4),e_82(4),e_75(4),e_63(4), e_129(4),e_101(4),e_100(4),e_208(4),e_138(4),e_260(4),e_259(4), e_216(4),e_374(4),e_478(4),e_16(3),e_13(3),e_20(3),e_42(3),e_40(3), e_81(3),e_128(3),e_179(3),e_261(3),e_248(3),e_215(3),e_474(3),e_412(3), e_397(3),e_18(3#),e_43(2),e_34(2),e_178(2),e_11(2#),e_12(2#),e_14(2#), e_23(2#),e_19(2#),e_78(2#),e_71(2#),e_125(2#),e_116(2#),e_96(2#),e_15(1#), e_21(1#) 67 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21, q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11, q12,q13,q14,q15,q16,q17,q18,q19,q20,q21,q22, q23,q24,q25,q26,q27,q28,q29,q30,q31,q32,q33, q34,q35,q36,q37,q38,q39,q40,q41,q42,q43,q44, q45,q46 old input: w Enter a list of equations, like e2,e5,e35; from: e_21,e_15,e_96,e_116,e_125,e_71,e_78,e_19,e_23,e_14,e_12,e_11,e_178,e_34,e_43, e_18,e_397,e_412,e_474,e_215,e_248,e_261,e_179,e_128,e_81,e_40,e_42,e_20,e_13, e_16,e_478,e_374,e_216,e_259,e_260,e_138,e_208,e_100,e_101,e_129,e_63,e_75,e_82, e_45,e_53,e_55,e_62,e_29,e_33,e_35,e_36,e_37,e_39,e_41,e_466,e_370,e_373,e_286, e_146,e_172,e_175,e_198,e_203,e_93,e_108,e_109,e_117,e_121,e_133,e_66,e_67,e_83, e_86,e_87,e_88,e_56,e_61,e_30,e_32,e_38,e_391,e_434,e_435,e_443,e_303,e_304, e_335,e_339,e_342,e_344,e_223,e_237,e_246,e_276,e_137,e_160,e_161,e_184,e_97, e_112,e_124,e_127,e_79,e_80,e_85,e_46,e_52,e_57,e_24,e_25,e_28,e_31,e_17,e_381, e_404,e_411,e_441,e_445,e_321,e_322,e_345,e_368,e_375,e_376,e_236,e_255,e_256, e_266,e_267,e_278,e_287,e_288,e_142,e_151,e_154,e_171,e_176,e_193,e_209,e_92, e_107,e_110,e_111,e_122,e_134,e_76,e_90,e_91,e_47,e_58,e_26,e_27,e_408,e_409, e_414,e_459,e_294,e_297,e_317,e_320,e_330,e_364,e_369,e_379,e_211,e_220,e_231, e_249,e_270,e_272,e_282,e_284,e_177,e_190,e_205,e_210,e_105,e_119,e_120,e_64, e_65,e_70,e_74,e_77,e_48,e_51,e_59,e_60,e_380,e_382,e_385,e_424,e_472,e_473, e_475,e_295,e_300,e_313,e_318,e_329,e_331,e_334,e_350,e_221,e_224,e_226,e_238, e_244,e_277,e_293,e_135,e_136,e_139,e_155,e_158,e_168,e_191,e_206,e_126,e_69, e_72,e_73,e_84,e_384,e_390,e_402,e_425,e_433,e_460,e_305,e_306,e_316,e_319,e_361 ,e_371,e_212,e_214,e_229,e_230,e_242,e_254,e_271,e_281,e_283,e_289,e_145,e_147, e_156,e_167,e_186,e_196,e_197,e_95,e_98,e_99,e_104,e_118,e_130,e_68,e_89,e_49, e_50,e_386,e_410,e_430,e_444,e_476,e_477,e_296,e_299,e_301,e_302,e_326,e_336, e_341,e_343,e_351,e_356,e_358,e_362,e_363,e_365,e_367,e_372,e_222,e_245,e_247, e_258,e_262,e_273,e_274,e_292,e_141,e_150,e_163,e_170,e_173,e_174,e_183,e_200, e_201,e_202,e_106,e_115,e_123,e_387,e_388,e_392,e_423,e_428,e_438,e_446,e_464, e_465,e_485,e_309,e_315,e_325,e_338,e_340,e_213,e_217,e_218,e_227,e_235,e_252, e_257,e_264,e_291,e_159,e_162,e_164,e_194,e_207,e_389,e_403,e_405,e_427,e_436, e_456,e_467,e_312,e_314,e_324,e_333,e_354,e_360,e_232,e_233,e_234,e_243,e_253, e_140,e_149,e_166,e_185,e_189,e_94,e_103,e_113,e_114,e_131,e_395,e_416,e_418, e_437,e_439,e_451,e_452,e_463,e_469,e_470,e_481,e_307,e_327,e_328,e_353,e_357, e_228,e_239,e_263,e_143,e_144,e_148,e_152,e_153,e_157,e_180,e_181,e_182,e_187, e_195,e_132,e_396,e_407,e_415,e_419,e_426,e_429,e_442,e_449,e_461,e_298,e_310, e_311,e_347,e_349,e_352,e_366,e_275,e_279,e_165,e_169,e_188,e_204,e_102,e_383, e_400,e_406,e_462,e_337,e_346,e_219,e_251,e_265,e_285,e_290,e_417,e_431,e_448, e_453,e_308,e_355,e_241,e_250,e_269,e_192,e_199,e_393,e_394,e_398,e_420,e_422, e_450,e_468,e_484,e_348,e_359,e_240,e_268,e_440,e_454,e_455,e_457,e_471,e_332, e_225,e_280,e_399,e_401,e_432,e_458,e_482,e_483,e_421,e_447 To write all equations just enter ; old input: nil Shall the name of the equation be written? (y/n) old input: n Please give the name of the file in double quotes without `;' : old input: w old input: cr These are all the user defined rules: {} You can either - give the number of a rule above to be dropped, or - give the name of a rule list activated before the call of CRACK which should be disabled: old input: ssrules Rule list ssrules has been disabled. old input: dp old input: sb Please give the name of the file in double quotes without `;' : old input: 0 next: next: next: Please type in a list of the numbers 1 .. 60, like 1,2,5,4,..,15; which will be the new priority list of procedures done by CRACK. Numbers stand for the following actions: 1 : Hot list of urgent steps 2 : Direct separation 3 : Substitution of <=2 terms, only fcts. of less vars., no cases 4 : Substitution of <=2 terms, alg. expressions, no cases 5 : Substitution of <=1000 terms, alg. expressions, no cases 6 : Substitution, minimal growth, with max 100 add. terms, no cases 7 : Integration of a first order de with at most two terms. 8 : Factorization to subcases leading to substitutions 9 : Substitution of derivatives by new functions 10 : Indirect separation of <6 or >300 terms 11 : Algebraic length reduction of equations 12 : Find and drop linear dependent general equations 13 : Find a linear dependent equation with only 1 term 14 : Triangularize a linear algebraic system 15 : Substitution of <=8 terms in <=1000 terms, fcts. of less vars. 16 : Substitution of <=20 terms in <=1000 terms 17 : Substitution of <=1000 terms, minimal growth 18 : Substitution of <=1000 terms, fcts. of less vars., no cases 19 : Substitution of <=1000 terms only linear expressions, f-indep. coeff. 20 : Substitution of <=1000 terms, no cases 21 : Substitution of <=1000 terms 22 : The parametric solution of underdetermined ODE 23 : The parametric solution of underdetermined PDE 24 : Integration of a pde such that a function can be subst. 25 : Any integration 26 : Indirect separation of equations of any size 27 : Length reducing decoupling steps 28 : Delete redundant equations 29 : Integrate an identity 30 : Do one decoupling step 31 : Differentiate pdes with nonlinear leading derivs 32 : Differentiate indirectly separable equations 33 : Find an integrating factor for a set of pde's 34 : Solving an algebraic equation. 35 : Solving equations for fnct.s or deriv.s algebraically 36 : Undo Substitutions of derivatives by new functions 37 : Changing the list of priorities 38 : Stop batch mode 39 : Find a transformation to integrate a 1st order PDE 40 : Drop redundant functions and constants 41 : Solve a subset of equations first 42 : Find and drop linear dependent bi-linear equations 43 : Find factorizable bi-linear equations 44 : Consider a given expression to be zero and non-zero 45 : Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases 46 : Find symmetries and then first integrals for an ODE 47 : Any factorization 48 : Alternative indirect separation of non-lin equations 49 : Find sub-systems with 2 non-flin_ functions 50 : Find sub-systems with 3 non-flin_ functions 51 : Find sub-systems with 4 non-flin_ functions 52 : Find sub-systems with 5 non-flin_ functions 53 : Find sub-systems with 2 flin_ functions 54 : Find sub-systems with 3 flin_ functions 55 : Find sub-systems with 4 flin_ functions 56 : Find sub-systems with 5 flin_ functions 57 : Do one high priority decoupling step 58 : user_defined 59 : Computation of the algebraic Groebner basis 60 : Check whether a given solution is contained The list so far was: 1,3,45,11,27,8,20,30,47,21,38; The new list: next: There is no time-limit set currently. After time has expired, shall CRACK go into interactive mode (1) or shall CRACK terminate with error (2) ? How many hours? How many minutes? next: Step 12: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 95 4-Oct-2003 18:18:53, 50 ms (0%), 1290244 occupied, 23709708 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 96 4-Oct-2003 18:18:56, 60 ms (0%), 1297130 occupied, 23702822 free *** Garbage collection starting *** GC 97 4-Oct-2003 18:18:59, 60 ms (0%), 1300378 occupied, 23699574 free shortening by 1 term Step 13: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 14: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 15: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 16: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 17: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 18: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 98 4-Oct-2003 18:19:02, 60 ms (0%), 1294186 occupied, 23705766 free shortening by 1 term Step 19: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 20: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 21: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 22: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 23: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 24: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 25: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 26: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 27: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 28: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 29: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 99 4-Oct-2003 18:19:04, 50 ms (0%), 1295198 occupied, 23704754 free shortening by 1 term Step 30: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 31: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 32: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 100 4-Oct-2003 18:19:06, 50 ms (0%), 1293274 occupied, 23706677 free shortening by 2 terms Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 34: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 101 4-Oct-2003 18:19:08, 50 ms (0%), 1292800 occupied, 23707152 free shortening by 1 term Step 35: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 102 4-Oct-2003 18:19:10, 60 ms (0%), 1293878 occupied, 23706074 free *** Garbage collection starting *** GC 103 4-Oct-2003 18:19:12, 50 ms (0%), 1295286 occupied, 23704666 free shortening by 1 term Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 38: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 39: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 104 4-Oct-2003 18:19:14, 50 ms (0%), 1292484 occupied, 23707468 free shortening by 1 term Step 40: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 41: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 105 4-Oct-2003 18:19:16, 50 ms (0%), 1294158 occupied, 23705794 free shortening by 1 term Step 42: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 43: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 44: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 45: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 106 4-Oct-2003 18:19:17, 50 ms (0%), 1293238 occupied, 23706714 free shortening by 2 terms Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 47: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 48: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 49: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 107 4-Oct-2003 18:19:19, 60 ms (0%), 1292136 occupied, 23707815 free shortening by 1 term Step 50: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 51: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 108 4-Oct-2003 18:19:21, 50 ms (0%), 1293062 occupied, 23706890 free shortening by 1 term Step 52: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 109 4-Oct-2003 18:19:23, 60 ms (0%), 1292778 occupied, 23707174 free shortening by 2 terms Step 53: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 110 4-Oct-2003 18:19:24, 60 ms (0%), 1293222 occupied, 23706730 free shortening by 2 terms Step 54: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 55: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 111 4-Oct-2003 18:19:26, 50 ms (0%), 1292058 occupied, 23707894 free shortening by 2 terms Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 57: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 112 4-Oct-2003 18:19:28, 60 ms (0%), 1291960 occupied, 23707992 free *** Garbage collection starting *** GC 113 4-Oct-2003 18:19:29, 50 ms (0%), 1293348 occupied, 23706604 free *** Garbage collection starting *** GC 114 4-Oct-2003 18:19:31, 60 ms (0%), 1293866 occupied, 23706086 free shortening by 1 term Step 58: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 115 4-Oct-2003 18:19:32, 50 ms (0%), 1292444 occupied, 23707508 free *** Garbage collection starting *** GC 116 4-Oct-2003 18:19:34, 50 ms (0%), 1292722 occupied, 23707230 free *** Garbage collection starting *** GC 117 4-Oct-2003 18:19:35, 60 ms (0%), 1293214 occupied, 23706738 free *** Garbage collection starting *** GC 118 4-Oct-2003 18:19:37, 60 ms (0%), 1293276 occupied, 23706676 free shortening by 3 terms Step 59: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 119 4-Oct-2003 18:19:39, 60 ms (0%), 1291930 occupied, 23708021 free shortening by 1 term Step 60: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 120 4-Oct-2003 18:19:40, 60 ms (0%), 1292308 occupied, 23707643 free shortening by 1 term Step 61: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 121 4-Oct-2003 18:19:42, 50 ms (0%), 1292386 occupied, 23707565 free *** Garbage collection starting *** GC 122 4-Oct-2003 18:19:43, 50 ms (0%), 1293068 occupied, 23706883 free shortening by 2 terms Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 123 4-Oct-2003 18:19:45, 60 ms (0%), 1291790 occupied, 23708161 free *** Garbage collection starting *** GC 124 4-Oct-2003 18:19:46, 50 ms (0%), 1292424 occupied, 23707527 free shortening by 1 term Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 125 4-Oct-2003 18:19:47, 50 ms (0%), 1291760 occupied, 23708191 free shortening by 3 terms Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 126 4-Oct-2003 18:19:49, 50 ms (0%), 1291656 occupied, 23708295 free shortening by 1 term Step 66: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 127 4-Oct-2003 18:19:50, 50 ms (0%), 1291624 occupied, 23708327 free *** Garbage collection starting *** GC 128 4-Oct-2003 18:19:52, 60 ms (0%), 1292694 occupied, 23707257 free shortening by 1 term Step 67: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 129 4-Oct-2003 18:19:53, 50 ms (0%), 1291584 occupied, 23708367 free shortening by 1 term Step 68: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 130 4-Oct-2003 18:19:54, 50 ms (0%), 1291494 occupied, 23708457 free shortening by 2 terms Step 69: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 131 4-Oct-2003 18:19:56, 60 ms (0%), 1291438 occupied, 23708513 free *** Garbage collection starting *** GC 132 4-Oct-2003 18:19:57, 50 ms (0%), 1292556 occupied, 23707393 free shortening by 5 terms Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 133 4-Oct-2003 18:19:58, 60 ms (0%), 1291300 occupied, 23708651 free *** Garbage collection starting *** GC 134 4-Oct-2003 18:20:00, 50 ms (0%), 1292390 occupied, 23707561 free *** Garbage collection starting *** GC 135 4-Oct-2003 18:20:01, 60 ms (0%), 1293154 occupied, 23706797 free *** Garbage collection starting *** GC 136 4-Oct-2003 18:20:02, 60 ms (0%), 1293284 occupied, 23706667 free shortening by 2 terms Step 71: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 137 4-Oct-2003 18:20:03, 50 ms (0%), 1291248 occupied, 23708703 free *** Garbage collection starting *** GC 138 4-Oct-2003 18:20:05, 50 ms (0%), 1291272 occupied, 23708679 free *** Garbage collection starting *** GC 139 4-Oct-2003 18:20:06, 50 ms (0%), 1291322 occupied, 23708629 free *** Garbage collection starting *** GC 140 4-Oct-2003 18:20:07, 50 ms (0%), 1291420 occupied, 23708531 free *** Garbage collection starting *** GC 141 4-Oct-2003 18:20:08, 50 ms (0%), 1291478 occupied, 23708473 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 142 4-Oct-2003 18:20:12, 80 ms (0%), 1660604 occupied, 23339181 free *** Garbage collection starting *** GC 143 4-Oct-2003 18:20:15, 90 ms (0%), 1884092 occupied, 23115505 free *** Garbage collection starting *** GC 144 4-Oct-2003 18:20:18, 70 ms (0%), 1540083 occupied, 23459757 free *** Garbage collection starting *** GC 145 4-Oct-2003 18:20:21, 80 ms (0%), 1801848 occupied, 23197846 free *** Garbage collection starting *** GC 146 4-Oct-2003 18:20:24, 60 ms (0%), 1404456 occupied, 23595435 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_413 we get the alternative equations : 0=p9 0=q46 New level : 1. CRACK is now called with the new equation e_603 : 0=p9 Step 72: Hot list of urgent steps : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 9 terms Substitution of p9 found in e_603 : p9=0 Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 74: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 75: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 147 4-Oct-2003 18:20:28, 60 ms (0%), 1342949 occupied, 23657001 free --- Algebraic length reduction of equations : shortening by 1 term e_595 is a consequence of e_2. Step 76: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 77: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 78: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 79: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 80: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 81: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 82: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 83: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 84: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 85: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 148 4-Oct-2003 18:20:30, 60 ms (0%), 1342341 occupied, 23657611 free shortening by 1 term Step 88: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 149 4-Oct-2003 18:20:32, 60 ms (0%), 1342205 occupied, 23657746 free shortening by 1 term Step 89: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 150 4-Oct-2003 18:20:34, 60 ms (0%), 1342473 occupied, 23657479 free shortening by 1 term Step 90: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 151 4-Oct-2003 18:20:35, 50 ms (0%), 1342191 occupied, 23657760 free shortening by 1 term Step 91: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 152 4-Oct-2003 18:20:37, 60 ms (0%), 1342625 occupied, 23657327 free *** Garbage collection starting *** GC 153 4-Oct-2003 18:20:38, 60 ms (0%), 1342943 occupied, 23657009 free *** Garbage collection starting *** GC 154 4-Oct-2003 18:20:40, 60 ms (0%), 1343829 occupied, 23656123 free *** Garbage collection starting *** GC 155 4-Oct-2003 18:20:41, 60 ms (0%), 1345165 occupied, 23654787 free *** Garbage collection starting *** GC 156 4-Oct-2003 18:20:43, 60 ms (0%), 1345331 occupied, 23654621 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 157 4-Oct-2003 18:20:46, 90 ms (0%), 1770801 occupied, 23228963 free *** Garbage collection starting *** GC 158 4-Oct-2003 18:20:49, 60 ms (0%), 1446945 occupied, 23552946 free *** Garbage collection starting *** GC 159 4-Oct-2003 18:20:53, 90 ms (0%), 1819524 occupied, 23180145 free *** Garbage collection starting *** GC 160 4-Oct-2003 18:20:56, 70 ms (0%), 1517169 occupied, 23482697 free *** Garbage collection starting *** GC 161 4-Oct-2003 18:20:59, 90 ms (0%), 1862474 occupied, 23137202 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_15 we get the alternative equations : 0=p1 0=q41 New level : 1.1. CRACK is now called with the new equation e_616 : 0=p1 e_21 is a consequence of e_616 Step 92: Hot list of urgent steps : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 8 terms Substitution of p1 found in e_616 : p1=0 Step 93: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 162 4-Oct-2003 18:21:03, 60 ms (0%), 1397536 occupied, 23602416 free shortening by 1 term Step 94: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 97: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 98: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 163 4-Oct-2003 18:21:05, 60 ms (0%), 1395716 occupied, 23604236 free shortening by 2 terms Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 164 4-Oct-2003 18:21:07, 60 ms (0%), 1395700 occupied, 23604251 free shortening by 3 terms Step 103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 165 4-Oct-2003 18:21:09, 50 ms (0%), 1396506 occupied, 23603446 free *** Garbage collection starting *** GC 166 4-Oct-2003 18:21:10, 60 ms (0%), 1397308 occupied, 23602644 free *** Garbage collection starting *** GC 167 4-Oct-2003 18:21:12, 60 ms (0%), 1398578 occupied, 23601373 free *** Garbage collection starting *** GC 168 4-Oct-2003 18:21:13, 70 ms (0%), 1398626 occupied, 23601325 free *** Garbage collection starting *** GC 169 4-Oct-2003 18:21:14, 60 ms (0%), 1398684 occupied, 23601267 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 170 4-Oct-2003 18:21:18, 90 ms (0%), 1914296 occupied, 23085369 free *** Garbage collection starting *** GC 171 4-Oct-2003 18:21:22, 80 ms (0%), 1795617 occupied, 23204145 free *** Garbage collection starting *** GC 172 4-Oct-2003 18:21:25, 80 ms (0%), 1668362 occupied, 23331426 free *** Garbage collection starting *** GC 173 4-Oct-2003 18:21:29, 70 ms (0%), 1521595 occupied, 23478294 free *** Garbage collection starting *** GC 174 4-Oct-2003 18:21:32, 110 ms (0%), 1966702 occupied, 23032932 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_644 we get the alternative equations : 0=p19 0=q41 New level : 1.1.1. CRACK is now called with the new equation e_754 : 0=p19 Step 104: Hot list of urgent steps : The list of inequalities got extended by: An expression with 21 terms Substitution of p19 found in e_754 : p19=0 Step 105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 175 4-Oct-2003 18:21:36, 70 ms (0%), 1440468 occupied, 23559482 free shortening by 1 term Step 116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 176 4-Oct-2003 18:21:38, 70 ms (0%), 1437366 occupied, 23562586 free shortening by 3 terms Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 177 4-Oct-2003 18:21:40, 70 ms (0%), 1438214 occupied, 23561738 free *** Garbage collection starting *** GC 178 4-Oct-2003 18:21:41, 60 ms (0%), 1438258 occupied, 23561694 free *** Garbage collection starting *** GC 179 4-Oct-2003 18:21:43, 60 ms (0%), 1438282 occupied, 23561670 free *** Garbage collection starting *** GC 180 4-Oct-2003 18:21:44, 60 ms (0%), 1438352 occupied, 23561600 free *** Garbage collection starting *** GC 181 4-Oct-2003 18:21:45, 70 ms (0%), 1438420 occupied, 23561532 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 182 4-Oct-2003 18:21:50, 70 ms (0%), 1514095 occupied, 23485803 free *** Garbage collection starting *** GC 183 4-Oct-2003 18:21:54, 80 ms (0%), 1569314 occupied, 23430561 free *** Garbage collection starting *** GC 184 4-Oct-2003 18:21:58, 80 ms (0%), 1617474 occupied, 23382390 free *** Garbage collection starting *** GC 185 4-Oct-2003 18:22:02, 80 ms (0%), 1656991 occupied, 23342857 free *** Garbage collection starting *** GC 186 4-Oct-2003 18:22:06, 90 ms (0%), 1696285 occupied, 23303550 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_759 we get the alternative equations : 0=p10 0=q29 New level : 1.1.1.1. CRACK is now called with the new equation e_731 : 0=p10 Step 118: Hot list of urgent steps : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 20 terms Substitution of p10 found in e_731 : p10=0 Step 119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 187 4-Oct-2003 18:22:09, 70 ms (0%), 1481336 occupied, 23518614 free --- Algebraic length reduction of equations : shortening by 1 term Step 126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 188 4-Oct-2003 18:22:13, 70 ms (0%), 1481428 occupied, 23518524 free shortening by 1 term Step 149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 189 4-Oct-2003 18:22:15, 70 ms (0%), 1479942 occupied, 23520010 free shortening by 2 terms Step 155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 190 4-Oct-2003 18:22:18, 70 ms (0%), 1480660 occupied, 23519292 free shortening by 2 terms Step 159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 191 4-Oct-2003 18:22:20, 70 ms (0%), 1481440 occupied, 23518512 free shortening by 4 terms Step 160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 192 4-Oct-2003 18:22:22, 70 ms (0%), 1481046 occupied, 23518906 free shortening by 1 term Step 163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 193 4-Oct-2003 18:22:24, 70 ms (0%), 1480576 occupied, 23519376 free shortening by 1 term Step 166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 194 4-Oct-2003 18:22:26, 70 ms (0%), 1479796 occupied, 23520156 free *** Garbage collection starting *** GC 195 4-Oct-2003 18:22:28, 60 ms (0%), 1479884 occupied, 23520068 free *** Garbage collection starting *** GC 196 4-Oct-2003 18:22:29, 70 ms (0%), 1479934 occupied, 23520018 free *** Garbage collection starting *** GC 197 4-Oct-2003 18:22:31, 80 ms (0%), 1479948 occupied, 23520004 free *** Garbage collection starting *** GC 198 4-Oct-2003 18:22:32, 70 ms (0%), 1480042 occupied, 23519910 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_1074 and e_1077. e_1077: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q45,q44,q43,p21) is replaced by e_615: 0=(5*q43 + q44)*p21 Step 168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 199 4-Oct-2003 18:22:36, 70 ms (0%), 1480748 occupied, 23519204 free *** Garbage collection starting *** GC 200 4-Oct-2003 18:22:38, 70 ms (0%), 1480820 occupied, 23519132 free *** Garbage collection starting *** GC 201 4-Oct-2003 18:22:39, 70 ms (0%), 1480840 occupied, 23519112 free *** Garbage collection starting *** GC 202 4-Oct-2003 18:22:41, 70 ms (0%), 1480932 occupied, 23519020 free *** Garbage collection starting *** GC 203 4-Oct-2003 18:22:42, 70 ms (0%), 1480990 occupied, 23518962 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_644 and e_756. e_756: 0=p12*q24 + p21*q22 is replaced by e_990: 0=q22*(2*p12 - p21) Step 169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 204 4-Oct-2003 18:22:47, 70 ms (0%), 1480384 occupied, 23519568 free *** Garbage collection starting *** GC 205 4-Oct-2003 18:22:48, 70 ms (0%), 1480560 occupied, 23519392 free *** Garbage collection starting *** GC 206 4-Oct-2003 18:22:49, 70 ms (0%), 1480598 occupied, 23519354 free *** Garbage collection starting *** GC 207 4-Oct-2003 18:22:51, 70 ms (0%), 1480720 occupied, 23519232 free *** Garbage collection starting *** GC 208 4-Oct-2003 18:22:52, 70 ms (0%), 1480860 occupied, 23519092 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 209 4-Oct-2003 18:22:57, 90 ms (0%), 1783874 occupied, 23215903 free *** Garbage collection starting *** GC 210 4-Oct-2003 18:23:01, 100 ms (0%), 1974475 occupied, 23025229 free *** Garbage collection starting *** GC 211 4-Oct-2003 18:23:06, 90 ms (0%), 1699510 occupied, 23300333 free *** Garbage collection starting *** GC 212 4-Oct-2003 18:23:10, 100 ms (0%), 1917604 occupied, 23082101 free *** Garbage collection starting *** GC 213 4-Oct-2003 18:23:15, 80 ms (0%), 1612762 occupied, 23387108 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_616 we get the alternative equations : 0=p20 0=q7 New level : 1.1.1.1.1. CRACK is now called with the new equation e_1020 : 0=p20 e_751,e_752,e_753 are consequences of e_1020 Step 170: Hot list of urgent steps : The list of inequalities got extended by: g0038*p18 + g0039*p16 + g0040*p14 The list of inequalities got extended by: An expression with 19 terms Substitution of p20 found in e_1020 : p20=0 Step 171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 214 4-Oct-2003 18:23:18, 70 ms (0%), 1511899 occupied, 23488052 free --- Algebraic length reduction of equations : shortening by 2 terms Step 172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 215 4-Oct-2003 18:23:21, 80 ms (0%), 1510731 occupied, 23489221 free shortening by 1 term Step 178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 216 4-Oct-2003 18:23:25, 80 ms (0%), 1511913 occupied, 23488038 free shortening by 1 term Step 183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 217 4-Oct-2003 18:23:27, 70 ms (0%), 1511309 occupied, 23488643 free shortening by 3 terms Step 187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 218 4-Oct-2003 18:23:30, 80 ms (0%), 1510367 occupied, 23489584 free shortening by 2 terms Step 192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 219 4-Oct-2003 18:23:33, 70 ms (0%), 1509811 occupied, 23490141 free shortening by 1 term Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 220 4-Oct-2003 18:23:35, 70 ms (0%), 1510305 occupied, 23489647 free *** Garbage collection starting *** GC 221 4-Oct-2003 18:23:37, 80 ms (0%), 1511203 occupied, 23488749 free shortening by 1 term Step 200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 222 4-Oct-2003 18:23:39, 70 ms (0%), 1510163 occupied, 23489789 free *** Garbage collection starting *** GC 223 4-Oct-2003 18:23:41, 70 ms (0%), 1511293 occupied, 23488657 free *** Garbage collection starting *** GC 224 4-Oct-2003 18:23:42, 70 ms (0%), 1511311 occupied, 23488639 free *** Garbage collection starting *** GC 225 4-Oct-2003 18:23:44, 80 ms (0%), 1511317 occupied, 23488633 free *** Garbage collection starting *** GC 226 4-Oct-2003 18:23:46, 70 ms (0%), 1511403 occupied, 23488547 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 227 4-Oct-2003 18:23:50, 100 ms (0%), 1943478 occupied, 23056180 free *** Garbage collection starting *** GC 228 4-Oct-2003 18:23:55, 90 ms (0%), 1821847 occupied, 23177934 free *** Garbage collection starting *** GC 229 4-Oct-2003 18:24:00, 80 ms (0%), 1676810 occupied, 23323021 free *** Garbage collection starting *** GC 230 4-Oct-2003 18:24:05, 110 ms (0%), 2008924 occupied, 22990757 free *** Garbage collection starting *** GC 231 4-Oct-2003 18:24:10, 100 ms (0%), 1910338 occupied, 23089373 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_734 we get the alternative equations : 0=p11 0=q19 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_1121 : 0=p11 e_981,e_1025 are consequences of e_1121 Step 202: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 18 terms Substitution of p11 found in e_1121 : p11=0 Step 203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 232 4-Oct-2003 18:24:13, 80 ms (0%), 1552130 occupied, 23447820 free --- Algebraic length reduction of equations : shortening by 1 term e_625 is a consequence of e_1123. Step 204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1255 is a consequence of e_1123. Step 220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : An algebraic length reduction (11 ) was prevented to avoid a cycle. shortening by 1 term Step 240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 233 4-Oct-2003 18:24:17, 80 ms (0%), 1546772 occupied, 23453180 free *** Garbage collection starting *** GC 234 4-Oct-2003 18:24:21, 80 ms (0%), 1548576 occupied, 23451376 free shortening by 1 term Step 256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 235 4-Oct-2003 18:24:24, 70 ms (0%), 1547680 occupied, 23452272 free shortening by 1 term Step 262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 236 4-Oct-2003 18:24:27, 80 ms (0%), 1545700 occupied, 23454252 free shortening by 1 term Step 269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 237 4-Oct-2003 18:24:30, 80 ms (0%), 1547006 occupied, 23452945 free shortening by 1 term Step 272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 238 4-Oct-2003 18:24:32, 70 ms (0%), 1545590 occupied, 23454362 free shortening by 1 term Step 275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 239 4-Oct-2003 18:24:35, 70 ms (0%), 1545620 occupied, 23454332 free shortening by 2 terms Step 278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 240 4-Oct-2003 18:24:38, 80 ms (0%), 1545740 occupied, 23454212 free *** Garbage collection starting *** GC 241 4-Oct-2003 18:24:40, 70 ms (0%), 1546686 occupied, 23453265 free shortening by 2 terms Step 280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 242 4-Oct-2003 18:24:42, 70 ms (0%), 1545506 occupied, 23454446 free shortening by 1 term Step 281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 243 4-Oct-2003 18:24:44, 70 ms (0%), 1546316 occupied, 23453636 free shortening by 1 term Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 244 4-Oct-2003 18:24:46, 80 ms (0%), 1545304 occupied, 23454648 free *** Garbage collection starting *** GC 245 4-Oct-2003 18:24:48, 80 ms (0%), 1545352 occupied, 23454600 free *** Garbage collection starting *** GC 246 4-Oct-2003 18:24:50, 80 ms (0%), 1545356 occupied, 23454596 free *** Garbage collection starting *** GC 247 4-Oct-2003 18:24:51, 80 ms (0%), 1545450 occupied, 23454502 free *** Garbage collection starting *** GC 248 4-Oct-2003 18:24:53, 70 ms (0%), 1545510 occupied, 23454442 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1127 and e_615. e_615: 0=(5*q43 + q44)*p21 is replaced by e_1234: 0=p21*q44 Step 286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 249 4-Oct-2003 18:24:57, 80 ms (0%), 1546206 occupied, 23453745 free *** Garbage collection starting *** GC 250 4-Oct-2003 18:24:59, 80 ms (0%), 1546238 occupied, 23453713 free *** Garbage collection starting *** GC 251 4-Oct-2003 18:25:01, 70 ms (0%), 1546262 occupied, 23453689 free *** Garbage collection starting *** GC 252 4-Oct-2003 18:25:02, 80 ms (0%), 1546254 occupied, 23453697 free *** Garbage collection starting *** GC 253 4-Oct-2003 18:25:04, 80 ms (0%), 1546260 occupied, 23453691 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1127 and e_1074. e_1074: 0=(4*q43 - q45)*p21 is replaced by e_1259: 0=p21*q45 Step 290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 254 4-Oct-2003 18:25:07, 80 ms (0%), 1546066 occupied, 23453886 free *** Garbage collection starting *** GC 255 4-Oct-2003 18:25:09, 70 ms (0%), 1546102 occupied, 23453850 free *** Garbage collection starting *** GC 256 4-Oct-2003 18:25:11, 80 ms (0%), 1546130 occupied, 23453822 free *** Garbage collection starting *** GC 257 4-Oct-2003 18:25:12, 80 ms (0%), 1546124 occupied, 23453828 free *** Garbage collection starting *** GC 258 4-Oct-2003 18:25:14, 80 ms (0%), 1546146 occupied, 23453806 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_1126 and e_996. e_996: 0=(2*q23 + q25)*p12 is replaced by e_1267: 0=p12*q25 Step 293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 259 4-Oct-2003 18:25:17, 80 ms (0%), 1545936 occupied, 23454016 free *** Garbage collection starting *** GC 260 4-Oct-2003 18:25:19, 80 ms (0%), 1545962 occupied, 23453990 free *** Garbage collection starting *** GC 261 4-Oct-2003 18:25:20, 70 ms (0%), 1546006 occupied, 23453946 free *** Garbage collection starting *** GC 262 4-Oct-2003 18:25:22, 80 ms (0%), 1545998 occupied, 23453954 free *** Garbage collection starting *** GC 263 4-Oct-2003 18:25:24, 80 ms (0%), 1545986 occupied, 23453966 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_1123 and e_594. e_594: 0=(2*q23 + q25)*p2 is replaced by e_1269: 0=p2*q25 Step 294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 264 4-Oct-2003 18:25:29, 70 ms (0%), 1545576 occupied, 23454376 free shortening by 1 term Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 265 4-Oct-2003 18:25:31, 80 ms (0%), 1544724 occupied, 23455228 free *** Garbage collection starting *** GC 266 4-Oct-2003 18:25:33, 70 ms (0%), 1544824 occupied, 23455128 free *** Garbage collection starting *** GC 267 4-Oct-2003 18:25:35, 80 ms (0%), 1544902 occupied, 23455050 free *** Garbage collection starting *** GC 268 4-Oct-2003 18:25:36, 80 ms (0%), 1544898 occupied, 23455054 free *** Garbage collection starting *** GC 269 4-Oct-2003 18:25:38, 80 ms (0%), 1544908 occupied, 23455044 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 270 4-Oct-2003 18:25:44, 100 ms (0%), 1839390 occupied, 23160392 free *** Garbage collection starting *** GC 271 4-Oct-2003 18:25:49, 110 ms (0%), 1992442 occupied, 23007230 free *** Garbage collection starting *** GC 272 4-Oct-2003 18:25:55, 90 ms (0%), 1796364 occupied, 23203439 free *** Garbage collection starting *** GC 273 4-Oct-2003 18:26:00, 100 ms (0%), 1972331 occupied, 23027337 free Eliminate q28 from e_1124 and e_1133. e_1133: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q30,q28,q27,p21) is replaced by e_783: 0=(q27 + q30)*p21 Step 317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 274 4-Oct-2003 18:26:03, 80 ms (0%), 1545224 occupied, 23454728 free *** Garbage collection starting *** GC 275 4-Oct-2003 18:26:05, 80 ms (0%), 1545312 occupied, 23454639 free *** Garbage collection starting *** GC 276 4-Oct-2003 18:26:07, 70 ms (0%), 1545346 occupied, 23454606 free *** Garbage collection starting *** GC 277 4-Oct-2003 18:26:08, 80 ms (0%), 1545390 occupied, 23454562 free *** Garbage collection starting *** GC 278 4-Oct-2003 18:26:10, 80 ms (0%), 1545446 occupied, 23454506 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 279 4-Oct-2003 18:26:16, 100 ms (0%), 1840248 occupied, 23159548 free *** Garbage collection starting *** GC 280 4-Oct-2003 18:26:21, 100 ms (0%), 1992282 occupied, 23007401 free *** Garbage collection starting *** GC 281 4-Oct-2003 18:26:27, 100 ms (0%), 1800437 occupied, 23199372 free *** Garbage collection starting *** GC 282 4-Oct-2003 18:26:32, 110 ms (0%), 1975155 occupied, 23024522 free *** Garbage collection starting *** GC 283 4-Oct-2003 18:26:38, 90 ms (0%), 1763570 occupied, 23236248 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1253 we get the alternative equations : 0=p14 0=q22 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_1161 : 0=p14 e_1048,e_1049,e_900 are consequences of e_1161 Step 318: Hot list of urgent steps : The list of inequalities got extended by: g0038*p18 + g0039*p16 e_1155 is a consequence of e_937. e_1036 is a consequence of e_937. Substitution of p14 found in e_1161 : p14=0 Step 319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 284 4-Oct-2003 18:26:41, 80 ms (0%), 1588882 occupied, 23411068 free --- Algebraic length reduction of equations : shortening by 1 term e_1372 is a consequence of e_940. Step 320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1322 is a consequence of e_938. Step 339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 285 4-Oct-2003 18:26:45, 80 ms (0%), 1589902 occupied, 23410050 free *** Garbage collection starting *** GC 286 4-Oct-2003 18:26:49, 80 ms (0%), 1591772 occupied, 23408180 free shortening by 1 term Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 287 4-Oct-2003 18:26:53, 80 ms (0%), 1588770 occupied, 23411182 free shortening by 1 term Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 288 4-Oct-2003 18:26:56, 80 ms (0%), 1588180 occupied, 23411772 free shortening by 1 term Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 289 4-Oct-2003 18:26:59, 80 ms (0%), 1587988 occupied, 23411963 free shortening by 1 term Step 363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 290 4-Oct-2003 18:27:02, 80 ms (0%), 1588662 occupied, 23411290 free *** Garbage collection starting *** GC 291 4-Oct-2003 18:27:05, 90 ms (0%), 1589946 occupied, 23410006 free *** Garbage collection starting *** GC 292 4-Oct-2003 18:27:07, 80 ms (0%), 1590036 occupied, 23409916 free shortening by 2 terms Step 366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 293 4-Oct-2003 18:27:09, 80 ms (0%), 1589254 occupied, 23410698 free *** Garbage collection starting *** GC 294 4-Oct-2003 18:27:11, 80 ms (0%), 1589780 occupied, 23410172 free shortening by 1 term Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 295 4-Oct-2003 18:27:13, 90 ms (0%), 1588756 occupied, 23411196 free shortening by 2 terms Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 296 4-Oct-2003 18:27:15, 90 ms (0%), 1588476 occupied, 23411475 free *** Garbage collection starting *** GC 297 4-Oct-2003 18:27:17, 80 ms (0%), 1588586 occupied, 23411365 free *** Garbage collection starting *** GC 298 4-Oct-2003 18:27:19, 80 ms (0%), 1588584 occupied, 23411367 free *** Garbage collection starting *** GC 299 4-Oct-2003 18:27:21, 80 ms (0%), 1588602 occupied, 23411349 free *** Garbage collection starting *** GC 300 4-Oct-2003 18:27:22, 80 ms (0%), 1588692 occupied, 23411259 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1156 and e_1107. e_1107: 0=(3*q43 + q44)*p18 is replaced by e_1299: 0=p18*q44 Step 369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 301 4-Oct-2003 18:27:26, 80 ms (0%), 1588352 occupied, 23411599 free *** Garbage collection starting *** GC 302 4-Oct-2003 18:27:28, 80 ms (0%), 1588416 occupied, 23411535 free *** Garbage collection starting *** GC 303 4-Oct-2003 18:27:29, 80 ms (0%), 1588498 occupied, 23411453 free *** Garbage collection starting *** GC 304 4-Oct-2003 18:27:31, 80 ms (0%), 1588482 occupied, 23411469 free *** Garbage collection starting *** GC 305 4-Oct-2003 18:27:33, 80 ms (0%), 1588500 occupied, 23411451 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q4 from e_45 and e_1334. e_1334: 0=(2*q1 - q4)*p16 is replaced by e_1315: 0=p16*q1 Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 306 4-Oct-2003 18:27:36, 80 ms (0%), 1588790 occupied, 23411161 free *** Garbage collection starting *** GC 307 4-Oct-2003 18:27:38, 80 ms (0%), 1588844 occupied, 23411107 free *** Garbage collection starting *** GC 308 4-Oct-2003 18:27:40, 80 ms (0%), 1588864 occupied, 23411087 free *** Garbage collection starting *** GC 309 4-Oct-2003 18:27:42, 90 ms (0%), 1588866 occupied, 23411085 free *** Garbage collection starting *** GC 310 4-Oct-2003 18:27:44, 80 ms (0%), 1588960 occupied, 23410991 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_1315 and e_1312. e_1312: 0=(2*q1 - q30)*p16 is replaced by e_1317: 0=p16*q30 Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 311 4-Oct-2003 18:27:47, 80 ms (0%), 1588640 occupied, 23411311 free *** Garbage collection starting *** GC 312 4-Oct-2003 18:27:49, 90 ms (0%), 1588692 occupied, 23411259 free *** Garbage collection starting *** GC 313 4-Oct-2003 18:27:51, 80 ms (0%), 1588730 occupied, 23411221 free *** Garbage collection starting *** GC 314 4-Oct-2003 18:27:52, 90 ms (0%), 1588742 occupied, 23411209 free *** Garbage collection starting *** GC 315 4-Oct-2003 18:27:54, 80 ms (0%), 1588748 occupied, 23411203 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_1315 and e_1403. e_1403: 0=(q1 - q27)*p16 is replaced by e_552: 0=p16*q27 Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 316 4-Oct-2003 18:27:57, 80 ms (0%), 1588766 occupied, 23411185 free *** Garbage collection starting *** GC 317 4-Oct-2003 18:27:59, 80 ms (0%), 1588808 occupied, 23411143 free *** Garbage collection starting *** GC 318 4-Oct-2003 18:28:01, 90 ms (0%), 1588858 occupied, 23411093 free *** Garbage collection starting *** GC 319 4-Oct-2003 18:28:03, 80 ms (0%), 1588902 occupied, 23411049 free *** Garbage collection starting *** GC 320 4-Oct-2003 18:28:05, 80 ms (0%), 1588914 occupied, 23411037 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_1324 and e_549. e_549: 0=(q29 - q5)*p16 is replaced by e_1398: 0=p16*q5 e_1398 is a consequence of e_1322. Step 381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 321 4-Oct-2003 18:28:08, 90 ms (0%), 1588280 occupied, 23411671 free *** Garbage collection starting *** GC 322 4-Oct-2003 18:28:10, 80 ms (0%), 1588354 occupied, 23411597 free *** Garbage collection starting *** GC 323 4-Oct-2003 18:28:12, 80 ms (0%), 1588444 occupied, 23411507 free *** Garbage collection starting *** GC 324 4-Oct-2003 18:28:13, 80 ms (0%), 1588524 occupied, 23411427 free *** Garbage collection starting *** GC 325 4-Oct-2003 18:28:15, 80 ms (0%), 1588614 occupied, 23411337 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_1321 and e_1145. e_1145: 0=(3*q43 - q45)*p18 is replaced by e_1327: 0=p18*q43 e_1327 is a consequence of e_1156. Step 382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 326 4-Oct-2003 18:28:18, 80 ms (0%), 1588078 occupied, 23411873 free *** Garbage collection starting *** GC 327 4-Oct-2003 18:28:20, 80 ms (0%), 1588310 occupied, 23411641 free *** Garbage collection starting *** GC 328 4-Oct-2003 18:28:22, 80 ms (0%), 1588408 occupied, 23411543 free *** Garbage collection starting *** GC 329 4-Oct-2003 18:28:24, 80 ms (0%), 1588570 occupied, 23411381 free *** Garbage collection starting *** GC 330 4-Oct-2003 18:28:26, 90 ms (0%), 1588682 occupied, 23411269 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_937 and e_1230. e_1230: 0=(q23 - q43)*p16 is replaced by e_1328: 0=p16*q23 Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 331 4-Oct-2003 18:28:29, 80 ms (0%), 1587868 occupied, 23412083 free *** Garbage collection starting *** GC 332 4-Oct-2003 18:28:31, 80 ms (0%), 1587944 occupied, 23412007 free *** Garbage collection starting *** GC 333 4-Oct-2003 18:28:33, 80 ms (0%), 1588020 occupied, 23411931 free *** Garbage collection starting *** GC 334 4-Oct-2003 18:28:34, 80 ms (0%), 1588096 occupied, 23411855 free *** Garbage collection starting *** GC 335 4-Oct-2003 18:28:36, 80 ms (0%), 1588190 occupied, 23411761 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_938 and e_1323. e_1323: 0=(5*q23 + 2*q25)*p8 is replaced by e_1138: 0=p8*q25 e_1138 is a consequence of e_1054. Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 336 4-Oct-2003 18:28:39, 80 ms (0%), 1587292 occupied, 23412659 free *** Garbage collection starting *** GC 337 4-Oct-2003 18:28:41, 90 ms (0%), 1587326 occupied, 23412625 free *** Garbage collection starting *** GC 338 4-Oct-2003 18:28:43, 80 ms (0%), 1587344 occupied, 23412607 free *** Garbage collection starting *** GC 339 4-Oct-2003 18:28:45, 80 ms (0%), 1587350 occupied, 23412601 free *** Garbage collection starting *** GC 340 4-Oct-2003 18:28:47, 80 ms (0%), 1587494 occupied, 23412457 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 341 4-Oct-2003 18:28:53, 90 ms (0%), 1762253 occupied, 23237580 free *** Garbage collection starting *** GC 342 4-Oct-2003 18:28:59, 100 ms (0%), 1877308 occupied, 23122485 free *** Garbage collection starting *** GC 343 4-Oct-2003 18:29:05, 110 ms (0%), 1954779 occupied, 23044930 free *** Garbage collection starting *** GC 344 4-Oct-2003 18:29:11, 90 ms (0%), 1660661 occupied, 23339209 free *** Garbage collection starting *** GC 345 4-Oct-2003 18:29:18, 90 ms (0%), 1808951 occupied, 23190860 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1317 we get the alternative equations : 0=p16 0=q30 New level : 1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1388 : 0=p16 e_1060,e_1198,e_1394,e_935,e_1178,e_854,e_937,e_1320,e_45,e_1315,e_552,e_1322, e_1324,e_1328 are consequences of e_1388 Step 385: Hot list of urgent steps : The list of inequalities got extended by: p18 The lexicographical ordering of unknowns is changed because p18 has to be non-zero, giving p18 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p17,p16,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p18 e_1396 is a consequence of e_1089. e_1400 is a consequence of e_1299. e_969 is a consequence of e_1089. Substitution of p16 found in e_1388 : p16=0 Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 17 terms e_1300 is a consequence of e_1057. e_1399 is a consequence of e_1321. e_1310 is a consequence of e_1308. Substitution of q43 found in e_1156 : q43=0 Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 16 terms e_1327 is a consequence of e_1392. e_1230 is a consequence of e_1411. e_1329 is a consequence of e_1302. e_530 is a consequence of e_1145. e_1336 is a consequence of e_1307. Substitution of q44 found in e_1299 : q44=0 Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 15 terms e_1009,e_1102,e_1267,e_1269,e_1054 are consequences of e_882 e_1 is a consequence of e_882. e_1326 is a consequence of e_1411. e_1333 is a consequence of e_1307. e_1359 is a consequence of e_1145. e_1360 is a consequence of e_1411. e_1361 is a consequence of e_1302. e_957 is a consequence of e_1307. e_1120 is a consequence of e_1145. e_1366 is a consequence of e_1307. e_1340 is a consequence of e_783. Substitution of q45 found in e_1321 : q45=0 Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 14 terms e_1421 is a consequence of e_1323. Substitution of q25 found in e_882 : q25=0 Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 14 terms e_1057 is a consequence of e_991. e_935 is a consequence of e_938. e_1394 is a consequence of e_1123. e_1198 is a consequence of e_1304. *** Garbage collection starting *** GC 346 4-Oct-2003 18:29:22, 90 ms (0%), 1625686 occupied, 23374265 free Substitution of q42 by an expression in q23 found in e_1199 : q42=q23 Step 391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q30 by an expression in q28, q4 found in e_55 : q30= - q28 + q4 Step 392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q6 by an expression in q4, p6, p18 found in e_754 : p6*q4 q6=------- p18 Step 393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 15 terms e_1178 is a consequence of e_1396. Substitution of q22 by an expression in q23, p6, p18 found in e_1272 : p6*q23 q22=-------- p18 Step 394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 347 4-Oct-2003 18:29:25, 110 ms (0%), 1653734 occupied, 23346214 free Substitution of q21 by an expression in q41, p8, p18 found in e_16 : 8 factors in 3 terms Step 395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms e_19 is a consequence of e_14. Substitution of q19 by an expression in q41, p17, p7, p18 found in e_13 : 8 factors in 3 terms Step 396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 16 terms e_1300 is a consequence of e_1302. Substitution of q29 by an expression in q27, p8, p18 found in e_1031 : 10 factors in 3 terms Step 397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms Substitution of q7 by an expression in q36, q31, p7, p3, p18 found in e_852 : 10 factors in 3 terms Step 398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q26 by an expression in q46, q31, p7, p3, p18 found in e_1076 : 10 factors in 3 terms Step 399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms Substitution of q34 by an expression in q39, q33, p15, p8, p18 found in e_1424 : 8 factors in 3 terms Step 400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms Substitution of q16 by an expression in q39, q17, p8, p7, p18 found in e_101 : 14 factors in 4 terms Step 401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 348 4-Oct-2003 18:29:29, 90 ms (0%), 1709772 occupied, 23290174 free The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 33 terms Substitution of q2 by an expression in q5, q1, p8, p18 found in e_624 : 13 factors in 4 terms Step 402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 35 terms Substitution of q24 by an expression in q28, q4, q1, p4, p2, p18 found in e_1242 : 14 factors in 4 terms Step 403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q12 by an expression in q41, q36, p7, p3, p2, p18 found in e_930 : 14 factors in 4 terms Step 404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q32 by an expression in q39, q35, q33, p8, p5, p18 found in e_1435 : 14 factors in 4 terms Step 405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms *** Garbage collection starting *** GC 349 4-Oct-2003 18:29:32, 150 ms (0%), 1762136 occupied, 23237803 free Substitution of q35 by an expression in q39, q33, q31, p15, p13, p8, p18 found in e_1436 : 13 factors in 5 terms Step 406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1697 is a consequence of e_1302. Step 407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1704 is a consequence of e_1302. Step 410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1767 is a consequence of e_1126. Step 418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1768 is a consequence of e_1376. Step 419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1788 is a consequence of e_1107. Step 426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 350 4-Oct-2003 18:29:36, 90 ms (0%), 1767182 occupied, 23232759 free shortening by 2 terms Step 472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1473 is a consequence of e_1391. Step 502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1673 is a consequence of e_1307. Step 503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1272 is a consequence of e_1491. Step 504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1676 is a consequence of e_1650. Step 505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1473 is a consequence of e_1650. Step 538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 351 4-Oct-2003 18:29:41, 90 ms (0%), 1763596 occupied, 23236345 free shortening by 1 term Step 549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1744 is a consequence of e_1391. Step 584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1731 is a consequence of e_1391. Step 585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1790 is a consequence of e_1391. Step 586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1511 is a consequence of e_1391. Step 587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1473 is a consequence of e_1391. Step 589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1471 is a consequence of e_1391. Step 590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1765 is a consequence of e_1391. Step 591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1661 is a consequence of e_1391. Step 592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1272 is a consequence of e_1391. Step 593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1762 is a consequence of e_1391. Step 594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1707 is a consequence of e_1771 Step 604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 352 4-Oct-2003 18:29:45, 90 ms (0%), 1759870 occupied, 23240072 free shortening by 1 term Step 606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1724 is a consequence of e_1710. Step 611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 353 4-Oct-2003 18:29:50, 100 ms (0%), 1759564 occupied, 23240378 free --- Algebraic length reduction of equations : shortening by 1 term Step 626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1656 is a consequence of e_1805. Step 634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1272 is a consequence of e_1805. Step 635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1515 is a consequence of e_1655 Step 636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1660 is a consequence of e_1123. Step 638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1532 is a consequence of e_1494. Step 648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1745 is a consequence of e_1177 Step 654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 354 4-Oct-2003 18:29:54, 100 ms (0%), 1756836 occupied, 23243106 free shortening by 2 terms e_1767 is a consequence of e_1494. Step 657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1777 is a consequence of e_1494. Step 658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1141 is a consequence of e_1230. Step 662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1711 is a consequence of e_775. Step 664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1728 and e_1307. e_1307: 0=(q28 - q4)*p21 is replaced by e_1806: 0=p21*q28 e_1806 is a consequence of e_1124. Step 667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 355 4-Oct-2003 18:29:59, 100 ms (0%), 1780882 occupied, 23219023 free *** Garbage collection starting *** GC 356 4-Oct-2003 18:30:03, 100 ms (0%), 1794765 occupied, 23205145 free Eliminate q28 from e_1167 and e_1316. e_1316: 0=(2*q27 - q28)*p15 is replaced by e_1198: 0=p15*q27 e_1107 is a consequence of e_1198 Step 668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 357 4-Oct-2003 18:30:08, 100 ms (0%), 1754898 occupied, 23245045 free shortening by 2 terms e_1525 is a consequence of e_1140. Step 670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_1308 and e_1770. e_1770: 0=(3*q27 + q28)*p13 is replaced by e_1648: 0=p13*q27 Step 676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1741 is a consequence of e_1648. Step 699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1515 is a consequence of e_1177. Step 730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1479 is a consequence of e_1770. Step 733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 358 4-Oct-2003 18:30:12, 100 ms (0%), 1752642 occupied, 23247301 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 359 4-Oct-2003 18:30:16, 120 ms (0%), 1999015 occupied, 23000662 free Eliminate q28 from e_1765 and e_1132. e_1132: 0=(q28 - q4)*p3 is replaced by e_1715: 0=p3*q4 Step 735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1703 is a consequence of e_1721 Step 749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1316 is a consequence of e_1721. Step 772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1808 is a consequence of e_1721. Step 774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1504 is a consequence of e_1721. Step 803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1623 is a consequence of e_1177. Step 808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1469 is a consequence of e_1693 Step 815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1779 is a consequence of e_1494. Step 816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1365 is a consequence of e_1494. Step 817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1375 is a consequence of e_1494. Step 818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1808 is a consequence of e_1593. Step 822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1626 is a consequence of e_1177. Step 823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1731 is a consequence of e_1424. Step 828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1805 is a consequence of e_1617 Step 829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 360 4-Oct-2003 18:30:20, 100 ms (0%), 1750192 occupied, 23249746 free shortening by 1 term Step 830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1524 is a consequence of e_1717 Step 839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1523 is a consequence of e_1721. Step 863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1729,e_1741,e_1494,e_1763 are consequences of e_1471 Step 864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1675 is a consequence of e_1721. Step 865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1726 is a consequence of e_1715. Step 866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1718 is a consequence of e_1715. Step 867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1141 is a consequence of e_1721. Step 868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1737 is a consequence of e_1721. Step 869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1659 is a consequence of e_1721. Step 876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_852 is a consequence of e_1471. Step 877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1787 is a consequence of e_1694. Step 880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1700 is a consequence of e_1424. Step 890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1774 is a consequence of e_1715. Step 891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1107 is a consequence of e_1330. Step 894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1783 is a consequence of e_1272. Step 895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1524 is a consequence of e_1721. Step 900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1773 is a consequence of e_1721. Step 904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1666 is a consequence of e_1721. Step 905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1349 is a consequence of e_1721. Step 906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1665 is a consequence of e_1715. Step 907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1785 is a consequence of e_1715. Step 908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1512 is a consequence of e_1436 Step 915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1710 is a consequence of e_1732. Step 921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1653 is a consequence of e_1721. Step 922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1701 is a consequence of e_1009. Step 923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1789 is a consequence of e_1715. Step 924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1663 is a consequence of e_1715. Step 925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1489 is a consequence of e_1715. Step 926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 361 4-Oct-2003 18:30:25, 100 ms (0%), 1735654 occupied, 23264287 free shortening by 1 term e_1732 is a consequence of e_1763 Step 932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 362 4-Oct-2003 18:30:29, 110 ms (0%), 1942762 occupied, 23056987 free Eliminate q1 from e_1471 and e_1177. e_1177: 0=p2*(3*q1 - q28) is replaced by e_549: 0=p2*q28 e_549 is a consequence of e_1617. Step 935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1398 and e_901. e_901: 0=(2*q28 - q4)*p13 is replaced by e_1339: 0=p13*q28 e_1339 is a consequence of e_1308. Step 936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 363 4-Oct-2003 18:30:33, 100 ms (0%), 1818473 occupied, 23181314 free Eliminate q27 from e_1302 and e_1435. e_1435: 0=(2*q27 + 7*q28)*p21 is replaced by e_1675: 0=p21*q28 e_1675 is a consequence of e_1124. Step 937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 364 4-Oct-2003 18:30:37, 110 ms (0%), 1976497 occupied, 23023236 free *** Garbage collection starting *** GC 365 4-Oct-2003 18:30:42, 120 ms (0%), 1955533 occupied, 23044229 free *** Garbage collection starting *** GC 366 4-Oct-2003 18:30:46, 110 ms (0%), 1936426 occupied, 23063338 free *** Garbage collection starting *** GC 367 4-Oct-2003 18:30:50, 110 ms (0%), 1913641 occupied, 23086143 free *** Garbage collection starting *** GC 368 4-Oct-2003 18:30:54, 100 ms (0%), 1891888 occupied, 23107878 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1393 we get the alternative equations : 0=p12 0=q39 New level : 1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1842 : 0=p12 e_1373,e_1126,e_1166,e_1391,e_1392,e_1655,e_1470 are consequences of e_1842 Step 938: Hot list of urgent steps : e_1699 is a consequence of e_1124. e_1694 is a consequence of e_1124. e_1732 is a consequence of e_1411. Substitution of p12 found in e_1842 : p12=0 Step 939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 369 4-Oct-2003 18:30:58, 100 ms (0%), 1772243 occupied, 23227698 free --- Algebraic length reduction of equations : shortening by 1 term Step 940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 370 4-Oct-2003 18:31:02, 100 ms (0%), 1768207 occupied, 23231736 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 371 4-Oct-2003 18:31:07, 150 ms (0%), 1901475 occupied, 23098312 free *** Garbage collection starting *** GC 372 4-Oct-2003 18:31:11, 100 ms (0%), 1777706 occupied, 23222231 free *** Garbage collection starting *** GC 373 4-Oct-2003 18:31:16, 110 ms (0%), 1935677 occupied, 23064082 free *** Garbage collection starting *** GC 374 4-Oct-2003 18:31:21, 120 ms (0%), 1840904 occupied, 23158932 free *** Garbage collection starting *** GC 375 4-Oct-2003 18:31:26, 120 ms (0%), 1963222 occupied, 23036539 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1221 we get the alternative equations : 0=p3 0=q46 New level : 1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1834 : 0=p3 e_1310,e_1304,e_1765,e_1775,e_1715,e_1473,e_1436 are consequences of e_1834 Step 962: Hot list of urgent steps : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 5 terms e_1835 is a consequence of e_1818. e_1836 is a consequence of e_1648. e_1844 is a consequence of e_1786. Substitution of p3 found in e_1834 : p3=0 Step 963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 376 4-Oct-2003 18:31:30, 110 ms (0%), 1810050 occupied, 23189891 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 377 4-Oct-2003 18:31:34, 120 ms (0%), 1971324 occupied, 23028447 free *** Garbage collection starting *** GC 378 4-Oct-2003 18:31:39, 120 ms (0%), 2017675 occupied, 22982088 free *** Garbage collection starting *** GC 379 4-Oct-2003 18:31:44, 110 ms (0%), 1889031 occupied, 23110776 free *** Garbage collection starting *** GC 380 4-Oct-2003 18:31:49, 120 ms (0%), 1955649 occupied, 23044126 free *** Garbage collection starting *** GC 381 4-Oct-2003 18:31:54, 110 ms (0%), 2008605 occupied, 22991141 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1750 we get the alternative equations : 0=p5 0=q46 New level : 1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_937 : 0=p5 e_1090,e_1716,e_1782,e_1226,e_1684,e_1656,e_1242 are consequences of e_937 Step 967: Hot list of urgent steps : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 4 terms e_1623 is a consequence of e_1123. e_1657 is a consequence of e_991. e_1698 is a consequence of e_991. e_926 is a consequence of e_1398. e_1741 is a consequence of e_1515. e_1507 is a consequence of e_991. e_1336 is a consequence of e_991. e_1828 is a consequence of e_1827. Substitution of p5 found in e_937 : p5=0 Step 968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q11 by an expression in q17, q10, q8, p15, p7, p6, p18 found in e_1822 : 15 factors in 5 terms Step 969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 382 4-Oct-2003 18:31:58, 110 ms (0%), 2009976 occupied, 22989803 free *** Garbage collection starting *** GC 383 4-Oct-2003 18:32:02, 110 ms (0%), 2020064 occupied, 22979687 free *** Garbage collection starting *** GC 384 4-Oct-2003 18:32:07, 120 ms (0%), 2031233 occupied, 22968515 free *** Garbage collection starting *** GC 385 4-Oct-2003 18:32:12, 120 ms (0%), 2041586 occupied, 22958169 free *** Garbage collection starting *** GC 386 4-Oct-2003 18:32:16, 110 ms (0%), 1871515 occupied, 23128407 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1666 we get the alternative equations : 0=p2 0=q39 New level : 1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_900 : 0=p2 e_1123,e_1125,e_1695,e_1617,e_1471,e_1509,e_1235,e_1177 are consequences of e_900 Step 990: Hot list of urgent steps : The list of inequalities got extended by: g0030*p7 + g0031*p6 + g0033*p4 The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 34 terms e_1711 is a consequence of e_991. e_1132 is a consequence of e_753. e_1716 is a consequence of e_1663. Substitution of p2 found in e_900 : p2=0 Step 991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q9 by an expression in q33, q31, q8, p7, p6, p18 found in e_1656 : 17 factors in 5 terms Step 992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1471 is a consequence of e_753. Step 994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1617 is a consequence of e_753. Step 995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1695 is a consequence of e_753. Step 996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2008 is a consequence of e_753. Step 1002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 387 4-Oct-2003 18:32:20, 110 ms (0%), 1874500 occupied, 23125438 free shortening by 2 terms Step 1049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1996 is a consequence of e_1125. Step 1061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1226 is a consequence of e_1934 Step 1083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 388 4-Oct-2003 18:32:24, 110 ms (0%), 1955310 occupied, 23044492 free *** Garbage collection starting *** GC 389 4-Oct-2003 18:32:29, 120 ms (0%), 2030737 occupied, 22969035 free Eliminate q4 from e_1398 and e_1474. e_1474: 0=(q27 + q28 - q4)*p13 is replaced by e_1732: 0=(q27 + q28)*p13 Step 1091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1648 and e_1732. e_1732: 0=(q27 + q28)*p13 is replaced by e_1625: 0=p13*q28 e_1625 is a consequence of e_1308. Step 1092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1515 and e_1343. e_1343: 0=(q27 - 2*q28 + q4)*p15 is replaced by e_1132: 0=(q27 - 2*q28)*p15 Step 1093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1198 and e_1132. e_1132: 0=(q27 - 2*q28)*p15 is replaced by e_1177: 0=p15*q28 e_1177 is a consequence of e_1167. Step 1094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1728 and e_1491. e_1491: 0=(q27 - q28 + q4)*p21 is replaced by e_1789: 0=(q27 - q28)*p21 Step 1095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 390 4-Oct-2003 18:32:33, 110 ms (0%), 1941250 occupied, 23058590 free Eliminate q27 from e_1302 and e_1789. e_1789: 0=(q27 - q28)*p21 is replaced by e_2010: 0=p21*q28 e_2010 is a consequence of e_1124. Step 1096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1728 and e_1341. e_1341: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q28,q27,q4,p21) is replaced by e_1699: 0=(2*q27 - 3*q28)*p21 Step 1097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1302 and e_1699. e_1699: 0=(2*q27 - 3*q28)*p21 is replaced by e_1509: 0=p21*q28 e_1509 is a consequence of e_1124. Step 1098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1728 and e_1403. e_1403: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q28,q27,q4,p21) is replaced by e_1618: 0=(8*q27 - 3*q28)*p21 Step 1099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1302 and e_1618. e_1618: 0=(8*q27 - 3*q28)*p21 is replaced by e_1978: 0=p21*q28 e_1978 is a consequence of e_1124. Step 1100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q4 from e_1728 and e_1344. e_1344: 0=(3*q27 + q28 - q4)*p21 is replaced by e_1958: 0=(3*q27 + q28)*p21 Step 1101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1302 and e_1958. e_1958: 0=(3*q27 + q28)*p21 is replaced by e_1991: 0=p21*q28 e_1991 is a consequence of e_1124. Step 1102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 391 4-Oct-2003 18:32:38, 120 ms (0%), 1940947 occupied, 23058882 free Eliminate q27 from e_1302 and e_1334. e_1334: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q28,q27,q4,p21) is replaced by e_1964: 0=(q28 - q4)*p21 Step 1103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1728 and e_1964. e_1964: 0=(q28 - q4)*p21 is replaced by e_1822: 0=p21*q28 e_1822 is a consequence of e_1124. Step 1104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_1131 and e_1493. e_1493: 0=(q28 - q4)*(p17 - p6) is replaced by e_1994: 0=q4*(p17 - p6) e_1359 is a consequence of e_1994 Step 1105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q39 from e_1796 and e_901. e_1796: 0=p4*q39 - 3*p8*q14 is replaced by e_1974: 0=p8*q14 Step 1107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1472,e_1971,e_1711 are consequences of e_1836 Step 1108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 392 4-Oct-2003 18:32:42, 110 ms (0%), 1869010 occupied, 23130928 free --- Length reducing decoupling steps : Eliminate q28 from e_1002 and e_1495. e_1495: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q4,p17,p7) is replaced by e_1953: 0=p7*q4 Step 1120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 40 terms Substitution of q3 by an expression in q27, q1, p17, p7, p6, p18 found in e_1491 : 12 factors in 5 terms Step 1135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1472 is a consequence of e_1648. Step 1143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1710 is a consequence of e_1198. Step 1144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1939 is a consequence of e_1345. Step 1146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1512 is a consequence of e_1198. Step 1148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1835 is a consequence of e_1302. Step 1149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1722 and e_1492. e_1492: 0=(q28 + 2*q4)*p6 is replaced by e_1666: 0=p6*q28 Step 1151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 393 4-Oct-2003 18:32:47, 110 ms (0%), 1870322 occupied, 23129617 free shortening by 1 term Step 1154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1953 and e_1947. e_1947: 0=(q28 - q4)*p7 is replaced by e_1255: 0=p7*q28 Step 1160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2012 is a consequence of e_996. Step 1162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 394 4-Oct-2003 18:32:51, 120 ms (0%), 1942960 occupied, 23056860 free *** Garbage collection starting *** GC 395 4-Oct-2003 18:32:55, 120 ms (0%), 1935676 occupied, 23064170 free Eliminate q1 from e_1591 and e_1788. e_1788: (#) 6 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q27,q1,p17 ,p17,p6 ,p6) is replaced by e_1499: 0=q27*p6*(p17 - p6) Step 1167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 396 4-Oct-2003 18:33:00, 110 ms (0%), 1884763 occupied, 23115165 free *** Garbage collection starting *** GC 397 4-Oct-2003 18:33:04, 110 ms (0%), 1888288 occupied, 23111638 free *** Garbage collection starting *** GC 398 4-Oct-2003 18:33:09, 110 ms (0%), 1894951 occupied, 23104959 free *** Garbage collection starting *** GC 399 4-Oct-2003 18:33:13, 110 ms (0%), 1902561 occupied, 23097354 free *** Garbage collection starting *** GC 400 4-Oct-2003 18:33:17, 110 ms (0%), 1912590 occupied, 23087307 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1744 we get the alternative equations : 0=q31 0=p4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1493 : 0=q31 e_930,e_1842 are consequences of e_1493 Step 1168: Hot list of urgent steps : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 38 terms e_1711 is a consequence of e_1830. Substitution of q31 found in e_1493 : q31=0 Step 1169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 401 4-Oct-2003 18:33:21, 110 ms (0%), 1900635 occupied, 23099305 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 402 4-Oct-2003 18:33:26, 110 ms (0%), 1983620 occupied, 23016203 free *** Garbage collection starting *** GC 403 4-Oct-2003 18:33:30, 120 ms (0%), 2011484 occupied, 22988327 free *** Garbage collection starting *** GC 404 4-Oct-2003 18:33:35, 130 ms (0%), 2033495 occupied, 22966297 free Eliminate q41 from e_1796 and e_1524. e_1524: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q36,p21,p17,p13,p7) is replaced by e_2067: 0=p13*p17*q36 Step 1179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 405 4-Oct-2003 18:33:39, 120 ms (0%), 2030811 occupied, 22968976 free *** Garbage collection starting *** GC 406 4-Oct-2003 18:33:44, 110 ms (0%), 1941402 occupied, 23058488 free *** Garbage collection starting *** GC 407 4-Oct-2003 18:33:48, 120 ms (0%), 1985741 occupied, 23014072 free *** Garbage collection starting *** GC 408 4-Oct-2003 18:33:53, 120 ms (0%), 2021674 occupied, 22978118 free *** Garbage collection starting *** GC 409 4-Oct-2003 18:33:57, 110 ms (0%), 1922584 occupied, 23077337 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1962 we get the alternative equations : 0=q33 0=p4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2090 : 0=q33 Step 1180: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 37 terms Substitution of q33 found in e_2090 : q33=0 Step 1181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2128 is a consequence of e_1493. Step 1182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 410 4-Oct-2003 18:34:01, 120 ms (0%), 2016088 occupied, 22983725 free *** Garbage collection starting *** GC 411 4-Oct-2003 18:34:07, 110 ms (0%), 1981431 occupied, 23018455 free *** Garbage collection starting *** GC 412 4-Oct-2003 18:34:12, 120 ms (0%), 1941081 occupied, 23058846 free Eliminate q41 from e_1796 and e_2030. e_2030: 4 terms, 8 factors, with derivatives of functions of all variables: (q41,q38,q36,p21,p15,p13) is replaced by e_2129: 3 terms, 6 factors, with derivatives of functions of all variables: (q38,q36,p15,p13) Step 1183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 413 4-Oct-2003 18:34:17, 120 ms (0%), 2001006 occupied, 22998792 free *** Garbage collection starting *** GC 414 4-Oct-2003 18:34:22, 120 ms (0%), 1981320 occupied, 23018568 free Eliminate q39 from e_2042 and e_2047. e_2047: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q39,q14,p15,p13,p8,p18 ,p18) is replaced by e_2132: 0=q14 e_1783,e_1974 are consequences of e_2132 Step 1184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms Substitution of q14 found in e_2132 : q14=0 Step 1185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 415 4-Oct-2003 18:34:28, 120 ms (0%), 2033609 occupied, 22966210 free Eliminate q13 from e_2025 and e_2034. e_2025: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q10,q8,p7,p6,p4) is replaced by e_2136: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q8,p7,p6) Step 1186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q8 from e_2021 and e_2031. e_2031: 3 terms, 9 factors, with derivatives of functions of all variables: (q15,q8,p21,p13,p7,p6,p18) is replaced by e_2139: 0=p21*q15 Step 1187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 416 4-Oct-2003 18:34:33, 120 ms (0%), 1946846 occupied, 23053074 free Eliminate q39 from e_2027 and e_2046. e_2046: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q39,q37,p21,p15,p13 ,p13,p8,p18 ) is replaced by e_2098: 0=p21*q37 Step 1190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q39 from e_2027 and e_2104. e_2104: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q46,q39,p15,p13 ,p13,p8,p6,p18 ) is replaced by e_2115: 0=p6*q46 Step 1204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 417 4-Oct-2003 18:34:38, 110 ms (0%), 1973074 occupied, 23026813 free Eliminate q46 from e_2117 and e_2124. e_2124: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q38,q36,p21,p17) is replaced by e_2137: 0=(8*q36 + q38)*p21 Step 1218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_2137 and e_2120. e_2120: 0=(20*q36 + 5*q38 + q40)*p21 is replaced by e_2101: 0=(20*q36 - q40)*p21 Step 1224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 418 4-Oct-2003 18:34:43, 120 ms (0%), 1994781 occupied, 23005037 free *** Garbage collection starting *** GC 419 4-Oct-2003 18:34:49, 120 ms (0%), 2011864 occupied, 22987959 free Eliminate q39 from e_2027 and e_2108. e_2108: 4 terms, 16 factors, with derivatives of functions of all variables: 2 2 2 (q40,q39,p21,p15 ,p15,p13 ,p13,p8,p18 ) is replaced by e_1473: 0=p21*q40 Step 1225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 0 terms e_1677 is a consequence of e_2027. Step 1230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q40 from e_1473 and e_2101. e_2101: 0=(20*q36 - q40)*p21 is replaced by e_2122: 0=p21*q36 Step 1234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q36 from e_2122 and e_2137. e_2137: 0=(8*q36 + q38)*p21 is replaced by e_2106: 0=p21*q38 Step 1239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2119,e_1964 are consequences of e_2049 Step 1240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2114 is a consequence of e_2113. Step 1243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2124 is a consequence of e_2113. Step 1244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2138 is a consequence of e_2113. Step 1245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2031 is a consequence of e_2109. Step 1246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1974 is a consequence of e_2109. Step 1247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 420 4-Oct-2003 18:34:54, 110 ms (0%), 1923862 occupied, 23076076 free --- Algebraic length reduction of equations : shortening by 2 terms e_2047 is a consequence of e_2113. e_2047 is a consequence of e_2109. Step 1249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2090 is a consequence of e_2106. Step 1250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2095 is a consequence of e_2106. Step 1251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2132 is a consequence of e_2131. Step 1253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1783 is a consequence of e_2106. Step 1254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 41 terms e_2108 is a consequence of e_1836. e_2055 is a consequence of e_2109. e_2024 is a consequence of e_2113. Substitution of q8 by an expression in q39, p13, p8, p18 found in e_2045 : 11 factors in 3 terms Step 1257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 41 terms e_2086 is a consequence of e_1836. e_2099 is a consequence of e_2109. e_2035 is a consequence of e_2113. Substitution of q10 by an expression in q39, p13, p8, p18 found in e_2068 : 10 factors in 3 terms Step 1259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1677 is a consequence of e_2106. Step 1260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2136,e_2021,e_2041,e_2120,e_2109,e_2113 are consequences of e_2096 Step 1291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2055 is a consequence of e_2096. Step 1299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2024 is a consequence of e_2096. Step 1300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2086 is a consequence of e_2096. Step 1304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2099 is a consequence of e_2096. Step 1305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2116 is a consequence of e_2096. Step 1309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2107 is a consequence of e_2096. Step 1310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2130 is a consequence of e_2096. Step 1323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 421 4-Oct-2003 18:34:57, 110 ms (0%), 1917504 occupied, 23082436 free --- Algebraic length reduction of equations : shortening by 4 terms Step 1347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 1349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 1350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 1351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 1352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 1353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2026 is a consequence of e_2096. Step 1354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2073 is a consequence of e_2096. Step 1355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2069 is a consequence of e_2096. Step 1356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_2135 and e_2126. e_2126: 0=(2*q18 - q37 - q38)*p4 is replaced by e_2057: 0=(4*q18 - q37)*p4 Step 1357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_2103 and e_2085. e_2103: 0=p13*q37 + 30*p21*q41 is replaced by e_2127: 0=p13*q37 Step 1358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2084 is a consequence of e_2076 Step 1359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2067 is a consequence of e_2100 Step 1360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 422 4-Oct-2003 18:35:03, 110 ms (0%), 1911584 occupied, 23088354 free --- Length reducing decoupling steps : Eliminate q37 from e_2127 and e_2143. e_2143: 0=(q37 + q38)*p13 is replaced by e_2026: 0=p13*q38 Step 1384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2093 is a consequence of e_2073 Step 1385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2069 is a consequence of e_2026. Step 1386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2085 is a consequence of e_2073. Step 1389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q40 from e_1991 and e_2086. e_2086: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q40,q38,q37,p15) is replaced by e_2110: 0=(q37 - 6*q38)*p15 Step 1402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q40 from e_2030 and e_2105. e_2030: 0=3*p13*q40 + p15*q37 is replaced by e_2109: 0=p15*q37 Step 1403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2038 is a consequence of e_2109. Step 1405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1493 is a consequence of e_2109. Step 1406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_2109 and e_2110. e_2110: 0=(q37 - 6*q38)*p15 is replaced by e_1677: 0=p15*q38 Step 1409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_2109 and e_1991. e_1991: 0=(q37 + 2*q40)*p15 is replaced by e_2118: 0=p15*q40 Step 1411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 423 4-Oct-2003 18:35:11, 110 ms (0%), 1933289 occupied, 23066627 free *** Garbage collection starting *** GC 424 4-Oct-2003 18:35:20, 110 ms (0%), 1920815 occupied, 23079118 free *** Garbage collection starting *** GC 425 4-Oct-2003 18:35:30, 110 ms (0%), 1922502 occupied, 23077431 free Eliminate q39 from e_2096 and e_2032. e_2032: 5 terms, 25 factors, with derivatives of functions of all variables: 2 3 (q39,q20,p21,p13 ,p8,p7,p6,p18 ,p18) is replaced by e_2036: 0=p21*q20 Step 1412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 426 4-Oct-2003 18:35:40, 110 ms (0%), 1916359 occupied, 23083577 free Eliminate q37 from e_2057 and e_2107. e_2107: 4 terms, 8 factors, with derivatives of functions of all variables: (q40,q37,q17,q13,p15,p4) is replaced by e_2047: 4 terms, 8 factors, with derivatives of functions of all variables: (q40,q18,q17,q13,p15,p4) Step 1413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 427 4-Oct-2003 18:35:51, 120 ms (0%), 1927106 occupied, 23072812 free Eliminate q39 from e_1629 and e_1628. e_1628: 5 terms, 10 factors, with derivatives of functions of all variables: (q39,q37,q17,p8,p7,p18) is replaced by e_2072: 0=(q13 + q37)*(p18 + p8) Step 1414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_1326 and e_1668. e_1668: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q27,q5,q1,p8,p18) is replaced by e_2140: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q5,q4,q1,p8,p18) Step 1415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 428 4-Oct-2003 18:36:02, 110 ms (0%), 1912382 occupied, 23087558 free Eliminate q28 from e_1326 and e_754. e_754: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q27,q5,q4,p8,p18) is replaced by e_2075: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q5,q4,q1,p8,p18) Step 1416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 46 terms Substitution of q5 by an expression in q27, q4, q1, p8, p18 found in e_2075 : 18 factors in 5 terms Step 1417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2033 is a consequence of e_1648. Step 1429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2104 is a consequence of e_1376. Step 1432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2030 is a consequence of e_1198. Step 1433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2101 is a consequence of e_1302. Step 1435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_2111 and e_2133. e_2133: (#) 10 terms, 17 factors, with derivatives of functions of all variables: 3 2 3 2 (q27,q4,q1,p8 ,p8 ,p8,p18 ,p18 ,p18) is replaced by e_2038: 0=q1*(p18 + p8)*(p18 + 3*p8) Step 1436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 429 4-Oct-2003 18:36:10, 110 ms (0%), 1936409 occupied, 23063514 free Eliminate q1 from e_1591 and e_2149. e_2149: 7 terms, 21 factors, with derivatives of functions of all variables: (q27,q4,q1,p17,p8,p6,p18) is replaced by e_1493: 5 terms, 15 factors, with derivatives of functions of all variables: (q27,q4,p17,p8,p6,p18) Step 1437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 430 4-Oct-2003 18:36:21, 120 ms (0%), 1941563 occupied, 23058346 free *** Garbage collection starting *** GC 431 4-Oct-2003 18:36:31, 110 ms (0%), 1918038 occupied, 23081901 free Eliminate q39 from e_1257 and e_624. e_624: 10 terms, 30 factors, with derivatives of functions of all variables: (q39,q37,q36,q17,q13,p17,p8,p7,p6,p18) is replaced by e_2031: 8 terms, 24 factors, with derivatives of functions of all variables: (q37,q36,q17,q13,p17,p8,p7,p6,p18) Step 1438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 432 4-Oct-2003 18:36:43, 110 ms (0%), 1933403 occupied, 23066523 free *** Garbage collection starting *** GC 433 4-Oct-2003 18:36:57, 110 ms (0%), 1918771 occupied, 23081167 free Eliminate q39 from e_1437 and e_1257. e_1437: 6 terms, 12 factors, with derivatives of functions of all variables: (q39,q38,q37,q36,q18,p17,p8,p6,p18) is replaced by e_2087: 0=2*q13 - q18 - q36 - q37 + q38 Step 1439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q38 by an expression in q37, q36, q18, q13 found in e_2087 : q38= - 2*q13 + q18 + q36 + q37 Step 1440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 434 4-Oct-2003 18:37:09, 110 ms (0%), 1930814 occupied, 23069113 free Eliminate q37 from e_2135 and e_2114. e_2114: (#) 6 terms, 7 factors, with derivatives of functions of all variables: (q40,q37,q36,q18,q17,q13,p4) is replaced by e_2079: 0=(2*q17 + 2*q18 + q40)*p4 Step 1441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q40 from e_2079 and e_2047. e_2047: 4 terms, 8 factors, with derivatives of functions of all variables: (q40,q18,q17,q13,p15,p4) is replaced by e_2144: 0=p15*q13 + 3*p4*q17 Step 1442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q17 from e_2144 and e_2037. e_2037: 4 terms, 12 factors, with derivatives of functions of all variables: (q18,q17,p15,p8,p4,p18) is replaced by e_2147: 4 terms, 12 factors, with derivatives of functions of all variables: (q18,q13,p15,p8,p4,p18) Step 1443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 435 4-Oct-2003 18:37:20, 110 ms (0%), 1921023 occupied, 23078916 free Eliminate q41 from e_1932 and e_2110. e_2110: 11 terms, 22 factors, with derivatives of functions of all variables: (q41,q40,q37,q36,q18,q13,p17,p15,p7,p6) is replaced by e_2148: 11 terms, 22 factors, with derivatives of functions of all variables: (q40,q37,q36,q18,q13,p17,p7,p6) Step 1444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_1684 and e_2074. e_2074: 8 terms, 16 factors, with derivatives of functions of all variables: (q41,q37,q36,q18,q15,q13,p17,p7,p6,p4,p18) is replaced by e_1524: 8 terms, 16 factors, with derivatives of functions of all variables: (q37,q36,q18,q15,q13,p17,p7,p6,p18) Step 1445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_1684 and e_1495. e_1495: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q41,q37,q36,q18,q15,q13,p17,p8,p7,p6,p4,p18 ,p18) is replaced by e_2123: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q37,q36,q18,q15,q13,p17,p8,p7,p6,p18 ,p18) Step 1446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 436 4-Oct-2003 18:37:32, 110 ms (0%), 1936773 occupied, 23063155 free *** Garbage collection starting *** GC 437 4-Oct-2003 18:37:47, 110 ms (0%), 1923960 occupied, 23075979 free Eliminate q41 from e_2099 and e_2128. e_2128: 9 terms, 18 factors, with derivatives of functions of all variables: (q41,q40,q37,q36,q20,q18,q13,p17,p15,p7,p18) is replaced by e_2143: 9 terms, 18 factors, with derivatives of functions of all variables: (q40,q37,q36,q20,q18,q15,q13,p17,p7,p18) Step 1447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 438 4-Oct-2003 18:38:06, 110 ms (0%), 1922813 occupied, 23077126 free Eliminate q37 from e_1524 and e_1991. e_1991: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q41,q40,q37,q36,q20,q17,q15,q13,p17,p8,p7,p6,p4,p18 ,p18) is replaced by e_2083: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q41,q40,q36,q20,q18,q17,q13,p17,p8,p7,p6,p4,p18 ,p18) Step 1448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_1684 and e_2083. e_2083: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q41,q40,q36,q20,q18,q17,q13,p17,p8,p7,p6,p4,p18 ,p18) is replaced by e_2078: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q40,q36,q20,q18,q17,q13,p17,p8,p7,p6,p18 ,p18) Step 1449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 439 4-Oct-2003 18:38:29, 110 ms (0%), 1923235 occupied, 23076704 free factorizing e_1 we get the alternative equations : 0=p4 0=q36 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2167 : 0=p4 e_2135,e_2021,e_2079,e_2089,e_2057,e_991,e_1376,e_1345,e_1619,e_1424,e_549, e_1836,e_2046,e_2067 are consequences of e_2167 Step 1450: Hot list of urgent steps : The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 e_1495 is a consequence of e_2118. e_1991 is a consequence of e_2128. e_1835 is a consequence of e_1677. Substitution of p4 found in e_2167 : p4=0 Step 1451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_1698 and e_2055. e_2055: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q41,q36,q15,p17,p15,p7 ,p7,p6,p18) is replaced by e_2141: 0=q36*p7*(2*p6 - p7) Step 1453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_2149 and e_1940. e_1940: 9 terms, 18 factors, with derivatives of functions of all variables: (q41,q37,q36,q18,q13,p17,p15,p6) is replaced by e_1668: (#) 6 terms, 5 factors, with derivatives of functions of all variables: (q36,q18,q13,p17,p6) Step 1467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 440 4-Oct-2003 18:38:41, 120 ms (0%), 1927975 occupied, 23071955 free --- Factorization to subcases leading to substitutions : factorizing e_1198 we get the alternative equations : 0=p15 0=q27 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2114 : 0=p15 e_2112,e_1677,e_1167,e_1352,e_1515,e_1693,e_1711,e_2049,e_2040,e_2142,e_2073, e_2109,e_2118,e_2128,e_2083,e_2105 are consequences of e_2114 Step 1468: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 44 terms Substitution of p15 found in e_2114 : p15=0 Step 1469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 47 terms *** Garbage collection starting *** GC 441 4-Oct-2003 18:39:01, 110 ms (0%), 1924002 occupied, 23075933 free Substitution of q15 by an expression in q37, q18, q13, p17, p7, p18 found in e_2094 : 13 factors in 5 terms Step 1470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2067 is a consequence of e_2125. Step 1472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1424 is a consequence of e_1410. Step 1474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1302 we get the alternative equations : 0=p21 0=q27 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1345 : 0=p21 e_2106,e_1694,e_1124,e_1411,e_1728,e_1760,e_1494,e_1410,e_1242,e_1471,e_2098, e_1473,e_2122,e_2076,e_2036 are consequences of e_1345 Step 1475: Hot list of urgent steps : Substitution of p21 found in e_1345 : p21=0 Step 1476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1648 we get the alternative equations : 0=p13 0=q27 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2169 : 0=p13 e_2026,e_1308,e_1673,e_1398,e_1671,e_1702,e_1514,e_2096,e_2125,e_901,e_2127, e_2100,e_2138,e_2024,e_2023 are consequences of e_2169 Step 1477: Hot list of urgent steps : The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 17 terms Substitution of p13 found in e_2169 : p13=0 Step 1478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1722 we get the alternative equations : 0=p6 0=q4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1495 : 0=p6 e_1499,e_1721,e_1666,e_2115 are consequences of e_1495 Step 1479: Hot list of urgent steps : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p17,p8, p7,p6,p18 New ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p17,p8, p6,p7,p18 The list of inequalities got extended by: An expression with 31 terms e_1991 is a consequence of e_2133.e_1934 is a consequence of e_1991 e_2167 is a consequence of e_1953. e_2043 is a consequence of e_753.e_991,e_2028,e_1376 are consequences of e_2043 e_2033 is a consequence of e_1385. e_2082 is a consequence of e_1385.e_1020,e_938 are consequences of e_2082 e_2035 is a consequence of e_1255. e_2068 is a consequence of e_2052. e_2086 is a consequence of e_1953.e_2038,e_1835 are consequences of e_1783 Substitution of p6 found in e_1495 : p6=0 Step 1480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q23 found in e_1385 : q23=0 Step 1481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 29 terms Substitution of q46 found in e_753 : q46=0 Step 1482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 26 terms Substitution of q4 found in e_1953 : q4=0 Step 1483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 12 terms e_2131,e_1932 are consequences of e_2030 e_1940 is a consequence of e_2097. Substitution of q28 found in e_1255 : q28=0 Step 1484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q36 found in e_2133 : q36=0 Step 1485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q41,q40,q39,q37,q27,q20,q18,q17,q13,q1,p17,p8,p7,p18 New ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p17,p8,p7,p18 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p17,p8,p7,p18 New ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p8,p17,p7,p18 The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: p8 e_1399,e_2072 are consequences of e_2078 e_2123 is a consequence of e_2078. e_2048 is a consequence of e_2097. e_2143 is a consequence of e_2097. e_754 is a consequence of e_2090. Substitution of q1 found in e_1783 : q1=0 Step 1486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q41 found in e_2052 : q41=0 Step 1487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 13 terms e_2108 is a consequence of e_1821. Substitution of q37 found in e_2104 : q37=0 Step 1488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p17=0 because of the non-vanishing expression: p17 Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p6 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1495 : 0=q4 e_1136,e_1994,e_1953 are consequences of e_1495 Step 1489: Hot list of urgent steps : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 16 terms *** Garbage collection starting *** GC 442 4-Oct-2003 18:39:12, 40 ms (0%), 1172737 occupied, 23827204 free e_2033 is a consequence of e_1499. Substitution of q4 found in e_1495 : q4=0 Step 1490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q23 found in e_1721 : q23=0 Step 1491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 13 terms e_1783 is a consequence of e_1499.e_1102 is a consequence of e_1783 e_2097 is a consequence of e_2055 Substitution of q28 found in e_1666 : q28=0 Step 1492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q46 found in e_2115 : q46=0 Step 1493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 13 terms e_2099,e_2087 are consequences of e_1698 Substitution of q36 by an expression in q37, p17, p6 found in e_2022 : 10 factors in 3 terms Step 1494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 16 terms q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q41,q40,q39,q37,q27,q20,q18,q17,q13,q1,p17,p8,p7,p6,p18 New ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p17,p8,p7,p6,p18 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p17,p8,p7,p6,p18 New ordering: q41,q40,q39,q37,q20,q18,q17,q13,q1,q27,p8,p7,p17,p6,p18 The list of inequalities got extended by: p7 The list of inequalities got extended by: An expression with 30 terms e_2031 is a consequence of e_1499. e_2123 is a consequence of e_1399. e_2078 is a consequence of e_1399. Substitution of q1 by an expression in q27, p8, p18 found in e_2055 : 10 factors in 3 terms Step 1495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: p17 The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: 1 The list of inequalities got extended by: An expression with 26 terms Substitution of p17 by an expression in p7 found in e_2093 : p17= - p7 leads to a contradiction in : 0=2*p17 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p17,p13, p8,p7,p6,p18 New ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p17,p8, p7,p6,p13,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2169 : 0=q27 e_1399,e_1102,e_1499,e_1343 are consequences of e_2169 Step 1496: Hot list of urgent steps : The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 16 terms e_1495 is a consequence of e_1671. e_1991 is a consequence of e_1671.e_2038 is a consequence of e_1991 e_2033 is a consequence of e_1671. e_2082 is a consequence of e_1398. e_2035 is a consequence of e_1671. e_1821 is a consequence of e_1671. e_2104 is a consequence of e_1671. Substitution of q27 found in e_2169 : q27=0 Step 1497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 14 terms e_2027 is a consequence of e_1398. Substitution of q28 found in e_1308 : q28=0 Step 1498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q23 found in e_1673 : q23=0 Step 1499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 7 terms q1 The list of inequalities got extended by: p8 q4 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q13,q4,q1,p17,p8,p7,p6,p13,p18 New ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q13,q4,q1,p17,p7,p6,p8,p13,p18 The list of inequalities got extended by: An expression with 12 terms Substitution of q4 found in e_1398 : q4=0 leads to a contradiction in : 0=p18*q1 - 3*p8*q4 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: p21 The lexicographical ordering of unknowns is changed because p21 has to be non-zero, giving p21 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p21,p17, p13,p8,p7,p6,p18 New ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q13,q4,q1,p17,p13, p8,p7,p6,p21,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1345 : 0=q27 e_1399,e_1102,e_1499,e_1343,e_1648 are consequences of e_1345 Step 1500: Hot list of urgent steps : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 42 terms e_1376 is a consequence of e_1760. e_991 is a consequence of e_1760.e_2038 is a consequence of e_991 e_2021 is a consequence of e_1760. e_2168 is a consequence of e_1728. e_2169 is a consequence of e_1760. e_2172 is a consequence of e_1760. e_2174 is a consequence of e_1760. Substitution of q27 found in e_1345 : q27=0 Step 1501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 15 terms e_2167 is a consequence of e_1728. Substitution of q28 found in e_1124 : q28=0 Step 1502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q23 found in e_1411 : q23=0 Step 1503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 7 terms q1 The list of inequalities got extended by: p8 q4 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q13,q4,q1,p17,p13,p8,p7,p6,p21 ,p18 New ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q13,q4,q1,p17,p13,p7,p6,p8,p21 ,p18 Substitution of q4 found in e_1728 : q4=0 leads to a contradiction in : 0=p18*q1 - 3*p8*q4 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q15,q13,q4,q1,p21, p17,p15,p13,p8,p7,p6,p18 New ordering: q46,q41,q40,q39,q37,q36,q28,q27,q23,q20,q18,q17,q15,q13,q4,q1,p21, p17,p13,p8,p7,p6,p15,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2114 : 0=q27 e_1399,e_1102,e_1499,e_1343,e_1302,e_1648 are consequences of e_2114 Step 1504: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 17 terms e_2022 is a consequence of e_1693. e_2081 is a consequence of e_1693.e_2038 is a consequence of e_2081 e_2146 is a consequence of e_1693. e_2110 is a consequence of e_1515. e_2074 is a consequence of e_1693. e_2152 is a consequence of e_1693. e_2154 is a consequence of e_1693. Substitution of q27 found in e_2114 : q27=0 Step 1505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 15 terms e_2160 is a consequence of e_1515. Substitution of q28 found in e_1167 : q28=0 Step 1506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q23 found in e_1352 : q23=0 Step 1507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 7 terms q1 The list of inequalities got extended by: p8 q4 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q15,q13,q4,q1,p21,p17,p13,p8, p7,p6,p15,p18 New ordering: q46,q41,q40,q39,q37,q36,q20,q18,q17,q15,q13,q4,q1,p21,p17,p13,p7, p6,p8,p15,p18 Substitution of q4 found in e_1515 : q4=0 leads to a contradiction in : 0=p18*q1 - 3*p8*q4 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: p4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2167 : 0=q36 e_1934,e_2122,e_2100,e_2073 are consequences of e_2167 Step 1508: Hot list of urgent steps : The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 20 terms e_17,e_18,e_23,e_14,e_20,e_1702,e_2076 are consequences of e_1835 Substitution of q36 found in e_2167 : q36=0 Step 1509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 43 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q23 found in e_991 : q23=0 Step 1510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 18 terms e_1493 is a consequence of e_1345. Substitution of q4 found in e_1376 : q4=0 Step 1511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 15 terms e_2032 is a consequence of e_1424. e_2097 is a consequence of e_1619. e_2111 is a consequence of e_1619.e_2038 is a consequence of e_2111 e_2117 is a consequence of e_1619. e_2140 is a consequence of e_1619. e_2034 is a consequence of e_1619. e_1668 is a consequence of e_1619. e_2113 is a consequence of e_1619. e_2120 is a consequence of e_1619. e_2041 is a consequence of e_1619. e_2058 is a consequence of e_1619. e_2136 is a consequence of e_1619. e_2080 is a consequence of e_1619. Substitution of q27 found in e_1345 : q27=0 Step 1512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q28 The lexicographical ordering of unknowns is changed because q28 has to be non-zero, giving q28 a low priority. Old ordering: q46,q41,q40,q39,q37,q28,q20,q18,q17,q15,q13,q1,p21,p17,p15,p13,p8, p7,p6,p4,p18 New ordering: q46,q41,q40,q39,q37,q20,q18,q17,q15,q13,q1,q28,p21,p17,p15,p13,p8, p7,p6,p4,p18 The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q39,q37,q20,q18,q17,q15,q13,q1,q28,p21,p17,p15,p13,p8, p7,p6,p4,p18 New ordering: q46,q41,q40,q39,q37,q20,q18,q17,q15,q13,q1,q28,p21,p17,p15,p13,p7, p6,p8,p4,p18 Substitution of q1 found in e_1619 : q1=0 Step 1513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2085 is a consequence of e_549.e_1790,e_753,e_1514,e_1711,e_2115,e_2028 are consequences of e_2085 e_1964 is a consequence of e_549. Substitution of p21 found in e_1124 : p21=0 Step 1514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 13 terms e_2109 is a consequence of e_2094 Substitution of p13 found in e_1308 : p13=0 Step 1515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 10 terms e_2025 is a consequence of e_2074 e_2150 is a consequence of e_2089.e_2021 is a consequence of e_2150 e_2112 is a consequence of e_2094. e_2112 is a consequence of e_1131. e_2090 is a consequence of e_2067. e_2090 is a consequence of e_1131. Substitution of p15 found in e_1167 : p15=0 Step 1516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q28=0 because of the non-vanishing expression: q28 The list of inequalities got extended by: An expression with 8 terms This completes the investigation of all cases of a factorization. *** Garbage collection starting *** GC 443 4-Oct-2003 18:39:22, 50 ms (0%), 1213763 occupied, 23786189 free Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: q33 The lexicographical ordering of unknowns is changed because q33 has to be non-zero, giving q33 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q33,q28,q27,q23,q20,q18,q17,q15,q14, q13,q10,q8,q5,q4,q1,p21,p17,p15,p13,p8,p7,p6,p4,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q28,q27,q23,q20,q18,q17,q15,q14,q13, q10,q8,q5,q4,q1,q33,p21,p17,p15,p13,p8,p7,p6,p4,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2090 : 0=p4 e_991,e_1376,e_1815,e_1345,e_1619,e_1424,e_549,e_1235,e_1716,e_1783,e_1836,e_1 are consequences of e_2090 Step 1517: Hot list of urgent steps : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: An expression with 37 terms Substitution of p4 found in e_2090 : p4=0 Step 1518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 40 terms Substitution of q15 by an expression in q38, q13, p17, p7, p6, p18 found in e_2021 : 18 factors in 5 terms Step 1519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 444 4-Oct-2003 18:39:26, 50 ms (0%), 1289865 occupied, 23710054 free *** Garbage collection starting *** GC 445 4-Oct-2003 18:39:30, 50 ms (0%), 1267135 occupied, 23732796 free *** Garbage collection starting *** GC 446 4-Oct-2003 18:39:33, 50 ms (0%), 1250046 occupied, 23749884 free *** Garbage collection starting *** GC 447 4-Oct-2003 18:39:36, 60 ms (0%), 1356952 occupied, 23642928 free *** Garbage collection starting *** GC 448 4-Oct-2003 18:39:40, 60 ms (0%), 1346127 occupied, 23653777 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1840 we get the alternative equations : 0=p8 0=q8 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2071 : 0=p8 e_1448,e_938,e_1681,e_1974 are consequences of e_2071 Step 1523: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 36 terms e_996,e_1771,e_1316,e_1763 are consequences of e_2072 e_1694 is a consequence of e_2073 e_2074 is a consequence of e_2073.e_1499 is a consequence of e_2075 e_1343,e_2075,e_1302,e_1198,e_1648 are consequences of e_2077 e_17,e_18,e_14,e_20,e_1702 are consequences of e_2078 e_2081 is a consequence of e_2073. e_2082 is a consequence of e_2073. e_2083 is a consequence of e_2073.e_1591,e_1760,e_1693,e_1671 are consequences of e_2085 e_1783 is a consequence of e_2073. e_1619 is a consequence of e_2073. e_1345 is a consequence of e_2073. e_1815 is a consequence of e_2073. e_2093 is a consequence of e_2073. Substitution of p8 found in e_2071 : p8=0 Step 1524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 35 terms e_2084 is a consequence of e_2077. Substitution of q5 found in e_2072 : q5=0 Step 1525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 34 terms e_1242 is a consequence of e_2086 e_1790,e_1494,e_753,e_1514 are consequences of e_2079 e_1830,e_1069,e_2122,e_2123,e_1124,e_1411,e_1728,e_1410,e_1471,e_2097 are consequences of e_2087 The list of inequalities got extended by: q10 The lexicographical ordering of unknowns is changed because q10 has to be non-zero, giving q10 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q28,q27,q23,q20,q18,q17,q14,q13,q10,q8 ,q4,q1,q33,p21,p17,p15,p13,p7,p6,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q28,q27,q23,q20,q18,q17,q14,q13,q8,q4, q1,q10,q33,p21,p17,p15,p13,p7,p6,p18 e_2124 is a consequence of e_2087. e_1376 is a consequence of e_2087. Substitution of q39 found in e_2073 : q39=0 Step 1526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 33 terms e_2094 is a consequence of e_2085. e_2095 is a consequence of e_2085. e_2117 is a consequence of e_2085. e_2111 is a consequence of e_2085. e_2048 is a consequence of e_549. e_2090 is a consequence of e_2085. e_2125 is a consequence of e_2085. e_2101 is a consequence of e_2085. e_2049 is a consequence of e_2085. Substitution of q27 found in e_2077 : q27=0 Step 1527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 30 terms e_2067 is a consequence of e_2050 Substitution of q41 found in e_2078 : q41=0 Step 1528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 25 terms e_1002,e_1131,e_1308,e_1167,e_1666,e_1255 are consequences of e_1962 e_1716 is a consequence of e_1962.e_1136,e_1994,e_1515,e_1398,e_1953,e_1722 are consequences of e_2076 Substitution of q1 found in e_2085 : q1=0 Step 1529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_2129 is a consequence of e_2086. e_2134 is a consequence of e_2128. Substitution of q8 found in e_2092 : q8=0 Step 1530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_2128 is a consequence of e_2089 e_1974,e_2042,e_1385,e_2069 are consequences of e_2091 e_1840 is a consequence of e_2091. e_2139 is a consequence of e_2091. e_2136 is a consequence of e_2091. e_2116 is a consequence of e_2091. e_2102 is a consequence of e_2091. e_2118 is a consequence of e_2091. e_1316 is a consequence of e_2091. e_1763 is a consequence of e_2091. e_2074 is a consequence of e_2091. e_1198 is a consequence of e_2091. e_1648 is a consequence of e_2091. e_1302 is a consequence of e_2091. Substitution of q17 found in e_2086 : q17=0 Step 1531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms Substitution of q40 found in e_2080 : q40=0 Step 1532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 8 terms e_1424 is a consequence of e_2087. e_2107 is a consequence of e_2089. e_2107 is a consequence of e_2087. e_2081 is a consequence of e_2087. e_2131 is a consequence of e_2087. e_2131 is a consequence of e_991. e_2096 is a consequence of e_2087. e_2121 is a consequence of e_2087. e_2119 is a consequence of e_2087. e_2082 is a consequence of e_2087. e_2110 is a consequence of e_2087. e_2109 is a consequence of e_2087. e_2137 is a consequence of e_2087. Substitution of q46 found in e_2079 : q46=0 Step 1533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms e_1721 is a consequence of e_2113 e_2070 is a consequence of e_2091. Substitution of q14 found in e_2099 : q14=0 Step 1534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2103,e_1673, e_2050 are consequences of e_2083 e_1352 is a consequence of e_2100 e_17 is a consequence of e_2100. e_2106 is a consequence of e_2083. e_2104 is a consequence of e_2083. e_996 is a consequence of e_2091. Substitution of p21 found in e_2087 : p21=0 Step 1535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 6 terms e_549 is a consequence of e_2076. Substitution of q28 found in e_1962 : q28=0 Step 1536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0006*p18 + g0013*p18 + g0014*p6 q23 The lexicographical ordering of unknowns is changed because q23 has to be non-zero, giving q23 a low priority. Old ordering: q38,q37,q36,q23,q20,q18,q13,q4,q10,q33,p17,p15,p13,p7,p6,p18 New ordering: q38,q37,q36,q20,q18,q13,q4,q23,q10,q33,p17,p15,p13,p7,p6,p18 The list of inequalities got extended by: An expression with 5 terms Substitution of q4 found in e_2076 : q4=0 Step 1537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms Substitution of q18 found in e_1235 : q18=0 Step 1538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_2114 is a consequence of e_2091. e_14 is a consequence of e_2098. e_2112 is a consequence of e_2091. e_2138 is a consequence of e_2091. e_1694 is a consequence of e_2091. e_2075 is a consequence of e_2091. e_1343 is a consequence of e_2091. e_2057 is a consequence of e_2091. e_20 is a consequence of e_2091. e_1940 is a consequence of e_2091. Substitution of q13 found in e_2088 : q13=0 Step 1539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_1934,e_1711 are consequences of e_1836 e_991 is a consequence of e_1. e_2133 is a consequence of e_2091. e_2130 is a consequence of e_2091. e_2055 is a consequence of e_1836. e_2055 is a consequence of e_2091. e_18 is a consequence of e_1836. e_18 is a consequence of e_2091. e_2126 is a consequence of e_1. e_2126 is a consequence of e_2083. e_2140 is a consequence of e_2091. e_2051 is a consequence of e_1836. e_2051 is a consequence of e_2108. Substitution of q37 found in e_2089 : q37=0 Step 1540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q38,q36,q20,q23,q10,q33,p17,p15,p13,p7,p6,p18 New ordering: q38,q36,q20,q23,q10,q33,p15,p13,p17,p7,p6,p18 Substitution of p7 found in e_2091 : p7=0 leads to a contradiction in : 0=p6 + p7 Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q28,q27,q23,q20,q18,q17,q14,q13,q10,q8 ,q5,q4,q1,q33,p21,p17,p15,p13,p8,p7,p6,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q28,q27,q23,q20,q18,q17,q14,q13,q10,q8 ,q5,q4,q1,q33,p21,p17,p15,p13,p7,p6,p8,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_2071 : 0=q8 Step 1541: Hot list of urgent steps : The list of inequalities got extended by: An expression with 35 terms e_1694 is a consequence of e_2074 e_2075 is a consequence of e_2074. e_2075 is a consequence of e_1681. *** Garbage collection starting *** GC 449 4-Oct-2003 18:39:44, 50 ms (0%), 1234399 occupied, 23765553 free Substitution of q8 found in e_2071 : q8=0 Step 1542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 33 terms Substitution of q23 found in e_938 : q23=0 Step 1543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_1993,e_2078,e_753,e_1953,e_1255,e_2073,e_2074 are consequences of e_2109 Substitution of q10 found in e_1681 : q10=0 Step 1544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 30 terms e_2112 is a consequence of e_2109. e_2134 is a consequence of e_2109. e_2135 is a consequence of e_1992. Substitution of q14 found in e_1974 : q14=0 Step 1545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 22 terms Substitution of p7 found in e_2109 : p7=0 leads to a contradiction in : 0=p6 - 2*p7 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q10,q8,q5,q4,q1,p21,p17,p15,p13,p8,p7,p6,p4,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q33,q28,q27,q23,q20,q18,q17,q15,q14, q13,q10,q8,q5,q4,q1,q31,p21,p17,p15,p13,p8,p7,p6,p4,p18 New level : 1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1493 : 0=p4 e_991,e_1376,e_1815,e_1345,e_1619,e_1424,e_549,e_1235,e_1716,e_1783,e_1962, e_1836 are consequences of e_1493 Step 1546: Hot list of urgent steps : The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 39 terms e_1993,e_1694,e_1842,e_1385,e_753,e_1953,e_1255 are consequences of e_1 Substitution of p4 found in e_1493 : p4=0 Step 1547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 28 terms e_1934 is a consequence of e_1514 e_1494 is a consequence of e_1732 Substitution of p7 found in e_1 : p7=0 leads to a contradiction in : 0=2*p6 - 5*p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p2 New level : 1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_900 : 0=q39 e_71 is a consequence of e_900 Step 1548: Hot list of urgent steps : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 36 terms e_1711 is a consequence of e_1702. e_753 is a consequence of e_1177. e_1788 is a consequence of e_1177. Substitution of q39 found in e_900 : q39=0 Step 1549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q23 found in e_1123 : q23=0 Step 1550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 31 terms e_1759 is a consequence of e_1617. e_1822 is a consequence of e_1617. e_1822 is a consequence of e_1131. e_1937 is a consequence of e_1617. e_1934 is a consequence of e_1235. e_1940 is a consequence of e_1617. e_1940 is a consequence of e_1002. e_1882 is a consequence of e_1509. e_1947 is a consequence of e_1509. Substitution of q4 found in e_1125 : q4=0 Step 1551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 29 terms e_1765 is a consequence of e_1471. e_1768 is a consequence of e_1617. e_1965 is a consequence of e_1235. e_1666 is a consequence of e_1471. *** Garbage collection starting *** GC 450 4-Oct-2003 18:39:51, 50 ms (0%), 1289604 occupied, 23710348 free Substitution of q5 found in e_1695 : q5=0 Step 1552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 28 terms e_1664 is a consequence of e_1235. e_1664 is a consequence of e_1302. e_1149 is a consequence of e_1235. e_1149 is a consequence of e_1302. e_1748 is a consequence of e_1235. e_1748 is a consequence of e_1302. e_1773 is a consequence of e_1235. e_1773 is a consequence of e_1302. e_1525 is a consequence of e_1235. e_1525 is a consequence of e_1302. e_1524 is a consequence of e_1235. e_1524 is a consequence of e_1198. e_1781 is a consequence of e_1235. e_1781 is a consequence of e_1648. e_1958 is a consequence of e_1235.e_1399 is a consequence of e_1958 e_1962 is a consequence of e_1471. e_1948 is a consequence of e_1235. e_1591 is a consequence of e_1471. e_1973 is a consequence of e_1235. Substitution of q28 found in e_1617 : q28=0 Step 1553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 24 terms e_71 is a consequence of e_1235. e_1960 is a consequence of e_1235. e_1930 is a consequence of e_1235. e_1711 is a consequence of e_1964. Substitution of q1 found in e_1471 : q1=0 Step 1554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q46,q41,q40,q38,q37,q36,q33,q31,q27,q20,q18,q17,q15,q14,q13,q10,q9 ,q8,q3,p21,p17,p15,p13,p8,p7,p6,p4,p2,p18 New ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q10,q9,q8, q3,q27,p21,p17,p15,p13,p8,p7,p6,p4,p2,p18 The list of inequalities got extended by: An expression with 23 terms e_1850 is a consequence of e_1769 e_1964 is a consequence of e_1769. e_753 is a consequence of e_1769. Substitution of q3 found in e_1509 : q3=0 Step 1555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_1472 is a consequence of e_1769. e_1472 is a consequence of e_1177. e_1618 is a consequence of e_1769. e_1618 is a consequence of e_1177. e_1123 is a consequence of e_1177. e_1123 is a consequence of e_1648. e_1744 is a consequence of e_1177. e_1744 is a consequence of e_1198. e_1709 is a consequence of e_1769. e_1709 is a consequence of e_1177. e_1479 is a consequence of e_1769. e_1479 is a consequence of e_1177. e_1226 is a consequence of e_1177. e_1226 is a consequence of e_1648. e_1663 is a consequence of e_1769. e_1663 is a consequence of e_1177. e_1623 is a consequence of e_1177. e_1623 is a consequence of e_1198. e_1330 is a consequence of e_1769. e_1330 is a consequence of e_1177. e_1330 is a consequence of e_1198. e_1822 is a consequence of e_1769. e_1822 is a consequence of e_1177. e_1834 is a consequence of e_1769. e_1834 is a consequence of e_1714. Substitution of p21 found in e_1302 : p21=0 Step 1556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms e_1716 is a consequence of e_1177. e_1984 is a consequence of e_1648. Substitution of p15 found in e_1198 : p15=0 Step 1557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_17,e_18,e_23, e_14,e_20 are consequences of e_2018 e_1997 is a consequence of e_1177. e_2016 is a consequence of e_1769. e_2016 is a consequence of e_1177. e_2015 is a consequence of e_1769. e_2015 is a consequence of e_1177. e_1999 is a consequence of e_1769. e_1999 is a consequence of e_1177. e_1998 is a consequence of e_1769. e_1998 is a consequence of e_1177. e_1336 is a consequence of e_1769. e_1336 is a consequence of e_1177. e_1976 is a consequence of e_1177. e_1514 is a consequence of e_1345. Substitution of p13 found in e_1648 : p13=0 Step 1558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 + g0035*p2 e_1990 is a consequence of e_1177. e_1310 is a consequence of e_1769. e_1310 is a consequence of e_1177. e_1988 is a consequence of e_1177. e_1684 is a consequence of e_1769. e_1684 is a consequence of e_1177. e_1524 is a consequence of e_1769. e_1524 is a consequence of e_1177. e_1977 is a consequence of e_1769. e_1977 is a consequence of e_1177. e_1975 is a consequence of e_1769. e_1975 is a consequence of e_1177. e_2014 is a consequence of e_1177. Substitution of p4 found in e_1345 : p4=0 Step 1559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q27=0 because of the non-vanishing expression: q27 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 120 ms The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p8,p7,p6,p5,p4,p2,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p8,p7,p6,p4,p2,p5,p18 New level : 1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_937 : 0=q46 e_1494,e_1177,e_549 are consequences of e_937 Step 1560: Hot list of urgent steps : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 33 terms e_1507 is a consequence of e_1698. e_1336 is a consequence of e_1657. e_1822 is a consequence of e_1820. *** Garbage collection starting *** GC 451 4-Oct-2003 18:39:56, 60 ms (0%), 1283941 occupied, 23716008 free Substitution of q46 found in e_937 : q46=0 Step 1561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 31 terms Substitution of q23 found in e_1090 : q23=0 Step 1562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 30 terms e_1727 is a consequence of e_1782.e_1086,e_1359 are consequences of e_1727 e_1773 is a consequence of e_1782. e_1665 is a consequence of e_1782. e_1776 is a consequence of e_1656. e_1785 is a consequence of e_1782. Substitution of q28 found in e_1716 : q28=0 Step 1563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 27 terms e_1331 is a consequence of e_1226. e_1331 is a consequence of e_1302. e_1349 is a consequence of e_1226. e_1349 is a consequence of e_1302. e_1664 is a consequence of e_1226. e_1664 is a consequence of e_1302. e_1666 is a consequence of e_1226. e_1666 is a consequence of e_1302. e_1748 is a consequence of e_1226. e_1748 is a consequence of e_1302. e_1525 is a consequence of e_1226. e_1525 is a consequence of e_1198. e_1762 is a consequence of e_1226. e_1762 is a consequence of e_1648. e_1307 is a consequence of e_1226. e_101 is a consequence of e_1226. e_1725 is a consequence of e_1684. e_1514 is a consequence of e_1242. e_1215 is a consequence of e_1242. e_900 is a consequence of e_1239. e_1726 is a consequence of e_1226. Substitution of q4 found in e_1782 : q4=0 Step 1564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 20 terms e_1239 is a consequence of e_1656.e_125,e_1771,e_1695,e_1815,e_1316,e_1763 are consequences of e_1239 e_1761 is a consequence of e_1684.e_1760,e_1619,e_1693,e_1471,e_1671 are consequences of e_1761 e_1651,e_1795 are consequences of e_1660 e_1662 is a consequence of e_1242.e_1517,e_1746,e_1509,e_1817,e_1468,e_1818 are consequences of e_1662 Substitution of q27 found in e_1226 : q27=0 Step 1565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 3 terms e_1410 is a consequence of e_1656. e_1660 is a consequence of e_1656. e_1768 is a consequence of e_1242. e_1702 is a consequence of e_1656. Substitution of q1 found in e_1684 : q1=0 Step 1566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: q3 Substitution of q5 found in e_1656 : q5=0 leads to a contradiction in : 12 factors in 4 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 90 ms The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p8,p7,p6,p5,p4,p3,p2,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p8,p7,p6,p5,p4,p2,p3,p18 New level : 1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1834 : 0=q46 e_1494,e_1750,e_1177,e_549 are consequences of e_1834 Step 1567: Hot list of urgent steps : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 36 terms e_1835 is a consequence of e_1310. e_1838 is a consequence of e_1836. Substitution of q46 found in e_1834 : q46=0 Step 1568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q23 found in e_1304 : q23=0 Step 1569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 33 terms e_1594 is a consequence of e_1715.e_1086,e_1359 are consequences of e_1594 e_1748 is a consequence of e_1715. e_1776 is a consequence of e_1715. e_1785 is a consequence of e_1473. e_1725 is a consequence of e_1715. Substitution of q28 found in e_1765 : q28=0 Step 1570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 21 terms e_1665 is a consequence of e_1715. e_1665 is a consequence of e_1728. e_1331 is a consequence of e_1715. e_1331 is a consequence of e_1728. e_1349 is a consequence of e_1715. e_1349 is a consequence of e_1728. e_1664 is a consequence of e_1715. e_1664 is a consequence of e_1728. e_1666 is a consequence of e_1715. e_1666 is a consequence of e_1728. e_1773 is a consequence of e_1515. e_1773 is a consequence of e_1715. e_1525 is a consequence of e_1398. e_1525 is a consequence of e_1715. e_1514 is a consequence of e_1715. e_1660 is a consequence of e_1715.e_1651 is a consequence of e_1239 e_1795 is a consequence of e_1715. Substitution of q27 found in e_1775 : q27=0 Step 1571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 20 terms e_1517,e_1777,e_1746,e_1509,e_1817,e_1468,e_1242,e_1818 are consequences of e_1726 e_101 is a consequence of e_1436.e_1760,e_1684,e_1619,e_1693,e_1471,e_1671 are consequences of e_101 e_1662 is a consequence of e_1473.e_125,e_1771,e_1695,e_1815,e_1656,e_1316, e_1763 are consequences of e_1662 e_1761 is a consequence of e_1436. e_1768 is a consequence of e_1473. e_1789 is a consequence of e_1726. e_1679 is a consequence of e_1726. e_1272 is a consequence of e_1239. Substitution of q4 found in e_1715 : q4=0 Step 1572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 5 terms e_1722 is a consequence of e_1436. e_1239 is a consequence of e_1436. e_1796 is a consequence of e_1726. e_1711 is a consequence of e_1436. Substitution of q5 found in e_1473 : q5=0 Step 1573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: q3 The lexicographical ordering of unknowns is changed because q3 has to be non-zero, giving q3 a low priority. Old ordering: q41,q40,q39,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q1,p21,p17,p15,p13,p8,p7,p6,p5,p4,p2,p3,p18 New ordering: q41,q40,q39,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q1,q3,p21,p17,p15,p13,p8,p7,p6,p5,p4,p2,p3,p18 Substitution of q1 found in e_1436 : q1=0 leads to a contradiction in : 12 factors in 4 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 10 ms Time: 110 ms The list of inequalities got extended by: p12 The lexicographical ordering of unknowns is changed because p12 has to be non-zero, giving p12 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p18 New ordering: q46,q41,q40,q39,q38,q37,q36,q33,q31,q28,q27,q23,q20,q18,q17,q15, q14,q13,q11,q10,q9,q8,q5,q4,q3,q1,p21,p17,p15,p13,p8,p7,p6,p5,p4,p3,p2,p12,p18 New level : 1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1842 : 0=q39 e_71 is a consequence of e_1842 Step 1574: Hot list of urgent steps : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 21 terms *** Garbage collection starting *** GC 452 4-Oct-2003 18:40:03, 60 ms (0%), 1287393 occupied, 23712558 free Substitution of q39 found in e_1842 : q39=0 Step 1575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q23 found in e_1126 : q23=0 Step 1576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 19 terms e_1493 is a consequence of e_1131. e_1499 is a consequence of e_1655. e_1495 is a consequence of e_1002. e_1747 is a consequence of e_1470. e_1727 is a consequence of e_1470. Substitution of q4 found in e_1166 : q4=0 Step 1577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 27 terms e_624 is a consequence of e_1392. e_1594 is a consequence of e_1492. e_1761 is a consequence of e_1392. e_1761 is a consequence of e_125. Substitution of q1 found in e_1391 : q1=0 Step 1578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 25 terms e_1500 is a consequence of e_1103. e_1748 is a consequence of e_1655. e_1331 is a consequence of e_1103. e_1349 is a consequence of e_1655. e_1660 is a consequence of e_1762. Substitution of q5 found in e_1392 : q5=0 Step 1579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 4 terms e_1344 is a consequence of e_1124. e_1334 is a consequence of e_1124. e_1403 is a consequence of e_1124. e_1341 is a consequence of e_1124. e_1491 is a consequence of e_1124. e_1343 is a consequence of e_1167. e_1474 is a consequence of e_1308. e_1762 is a consequence of e_1470.e_1517,e_1777,e_1746,e_1509,e_1817,e_1468, e_1242,e_1818 are consequences of e_1762 e_101 is a consequence of e_1525. e_1773 is a consequence of e_1470. e_1005 is a consequence of e_1525. e_1498 is a consequence of e_1002. e_1239 is a consequence of e_1470. e_1776 is a consequence of e_1470. e_1664 is a consequence of e_1103. Substitution of q27 found in e_1655 : q27=0 Step 1580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 3 terms q28 The lexicographical ordering of unknowns is changed because q28 has to be non-zero, giving q28 a low priority. Old ordering: q46,q41,q40,q38,q37,q36,q33,q31,q28,q20,q18,q17,q15,q14,q13,q11, q10,q9,q8,q3,p21,p17,p15,p13,p8,p7,p6,p5,p4,p3,p2,p12,p18 New ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q28,p21,p17,p15,p13,p8,p7,p6,p5,p4,p3,p2,p12,p18 The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q28,p21,p17,p15,p13,p8,p7,p6,p5,p4,p3,p2,p12,p18 New ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q28,p21,p17,p15,p13,p7,p6,p5,p4,p3,p2,p8,p12,p18 The list of inequalities got extended by: p21 The lexicographical ordering of unknowns is changed because p21 has to be non-zero, giving p21 a low priority. Old ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q28,p21,p17,p15,p13,p7,p6,p5,p4,p3,p2,p8,p12,p18 New ordering: q46,q41,q40,q38,q37,q36,q33,q31,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q8,q3,q28,p17,p15,p13,p7,p6,p5,p4,p3,p2,p21,p8,p12,p18 e_1666 is a consequence of e_1103. e_1665 is a consequence of e_1103. Substitution of q3 found in e_1470 : q3=0 Step 1581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p21=0 because of the non-vanishing expression: p21 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New level : 1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1388 : 0=q30 e_617 is a consequence of e_1388 Step 1582: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 19 terms e_1090 is a consequence of e_552. e_1057 is a consequence of e_45. e_1392 is a consequence of e_854. e_926 is a consequence of e_854. e_900 is a consequence of e_552. e_1441 is a consequence of e_552. Substitution of q30 found in e_1388 : q30=0 Step 1583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 18 terms e_1296 is a consequence of e_45. e_1300 is a consequence of e_1324. e_1411 is a consequence of e_552. e_1385 is a consequence of e_937. e_1 is a consequence of e_937. *** Garbage collection starting *** GC 453 4-Oct-2003 18:40:08, 60 ms (0%), 1371558 occupied, 23628394 free e_1406 is a consequence of e_552. Substitution of q28 found in e_854 : q28=0 Step 1584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 17 terms e_1120 is a consequence of e_552. e_1382 is a consequence of e_1328. Substitution of q43 found in e_937 : q43=0 Step 1585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 14 terms e_1394 is a consequence of e_1315. e_530 is a consequence of e_1324. e_1015 is a consequence of e_1328. e_756 is a consequence of e_1328. e_1379 is a consequence of e_1328. Substitution of q2 found in e_1320 : q2=0 Step 1586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 13 terms e_1403 is a consequence of e_1089. e_1370 is a consequence of e_1089. e_1177 is a consequence of e_1322. e_1307 is a consequence of e_1322. e_1316 is a consequence of e_1315. Substitution of q4 found in e_45 : q4=0 Step 1587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 12 terms e_1047 is a consequence of e_1328.e_757,e_990 are consequences of e_1141 e_615 is a consequence of e_1328. e_1357 is a consequence of e_1322. e_946 is a consequence of e_1328. Substitution of q1 found in e_1315 : q1=0 Step 1588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 11 terms e_1326 is a consequence of e_1324. e_1325 is a consequence of e_1376. e_553 is a consequence of e_1328. e_1179 is a consequence of e_1311. e_1312 is a consequence of e_1304. e_1362 is a consequence of e_1328. e_1348 is a consequence of e_1328. e_1352 is a consequence of e_1328. e_1414 is a consequence of e_1328. e_1409 is a consequence of e_1323. e_1317 is a consequence of e_1324. e_1454 is a consequence of e_1090. Substitution of q27 found in e_552 : q27=0 Step 1589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 10 terms e_1239 is a consequence of e_1324. e_887 is a consequence of e_1089. e_1359 is a consequence of e_1376. e_1185 is a consequence of e_1384. e_149 is a consequence of e_1141. e_1375 is a consequence of e_1376. Substitution of q5 found in e_1322 : q5=0 Step 1590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 9 terms e_1017 is a consequence of e_1343. e_952 is a consequence of e_1384. e_593 is a consequence of e_1383. e_1201 is a consequence of e_1141. e_1385 is a consequence of e_1141. e_1057 is a consequence of e_1376. e_1354 is a consequence of e_1311. Substitution of q29 found in e_1324 : q29=0 Step 1591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 8 terms e_1441 is a consequence of e_1343. e_1372 is a consequence of e_659. e_1103 is a consequence of e_659. e_957 is a consequence of e_1141. e_1323 is a consequence of e_1311. e_1138 is a consequence of e_1141. e_1272 is a consequence of e_1141. e_1329 is a consequence of e_1311. e_1335 is a consequence of e_1311. e_530 is a consequence of e_659. e_1353 is a consequence of e_991. Substitution of q23 found in e_1328 : q23=0 Step 1592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 7 terms e_950 is a consequence of e_1311. e_1146 is a consequence of e_1311.e_1086,e_755,e_1411,e_1089 are consequences of e_1149 e_1459 is a consequence of e_659. e_1392 is a consequence of e_659. e_756 is a consequence of e_1343. e_1379 is a consequence of e_1406. e_1320 is a consequence of e_1340. e_1047 is a consequence of e_1149. e_990 is a consequence of e_1149. Substitution of q22 found in e_1141 : q22=0 Step 1593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 6 terms e_1366 is a consequence of e_1376. e_1107 is a consequence of e_1378. e_946 is a consequence of e_971. e_552 is a consequence of e_615. Substitution of q6 found in e_1149 : q6=0 Step 1594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 454 4-Oct-2003 18:40:13, 70 ms (0%), 1386590 occupied, 23613359 free The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 6 terms e_1383 is a consequence of e_1384. e_1304 is a consequence of e_1313. e_1138 is a consequence of e_1339. e_1321 is a consequence of e_1299. e_1029 is a consequence of e_940. e_1272 is a consequence of e_1234. e_1106 is a consequence of e_1384. e_877 is a consequence of e_1313. e_1371 is a consequence of e_1384. e_1302 is a consequence of e_1308. Substitution of q45 by an expression in q44 found in e_935 : 1 q45= - ---*q44 2 Step 1595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms Substitution of q35 by an expression in q32 found in e_1178 : q35=4*q32 Step 1596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 17 terms e_1351 is a consequence of e_1251. Substitution of q44 by an expression in q42, q25 found in e_1198 : q44= - 2*q25 + 2*q42 Step 1597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms Substitution of q34 by an expression in q33, q32, q14, q10 found in e_1060 : 12 factors in 5 terms Step 1598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 19 terms e_1403 is a consequence of e_1120. e_1316 is a consequence of e_1120. e_1316 is a consequence of e_1269. *** Garbage collection starting *** GC 455 4-Oct-2003 18:40:16, 70 ms (0%), 1412440 occupied, 23587511 free e_45 is a consequence of e_1120. e_1015 is a consequence of e_1120. e_1015 is a consequence of e_1267. e_1311 is a consequence of e_1120. e_1369 is a consequence of e_1120. e_615 is a consequence of e_1120. e_1307 is a consequence of e_1120. e_1368 is a consequence of e_1120. e_901 is a consequence of e_1120. e_1355 is a consequence of e_1120. e_1239 is a consequence of e_1120. e_1414 is a consequence of e_1120. e_1326 is a consequence of e_1120. Substitution of q24 by an expression in q25, p4, p16 found in e_625 : 5 - ----*p4*q25 14 q24=---------------- p16 Step 1599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 19 terms e_553 is a consequence of e_1120. e_553 is a consequence of e_1269. e_1357 is a consequence of e_1120. e_971 is a consequence of e_1120. e_971 is a consequence of e_1267. e_1376 is a consequence of e_1120. e_1312 is a consequence of e_1120. e_1348 is a consequence of e_1120. e_1362 is a consequence of e_1120. e_1358 is a consequence of e_1120. e_1179 is a consequence of e_1120. e_1315 is a consequence of e_1120. e_1461 is a consequence of e_1120. e_1370 is a consequence of e_1120. e_1177 is a consequence of e_1120. e_757 is a consequence of e_1120. e_1352 is a consequence of e_1120. e_1409 is a consequence of e_1120. e_1317 is a consequence of e_1120. e_1454 is a consequence of e_1120. e_1325 is a consequence of e_1120. e_1460 is a consequence of e_1120. e_1462 is a consequence of e_1120. Substitution of q3 by an expression in q25, p18, p4, p16 found in e_1184 : 7 factors in 2 terms Step 1600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms Substitution of q18 by an expression in q39, q10, p8, p5, p16 found in e_397 : 8 factors in 3 terms Step 1601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms Substitution of q26 by an expression in q46, q8, p12, p5, p16 found in e_767 : 10 factors in 3 terms Step 1602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms *** Garbage collection starting *** GC 456 4-Oct-2003 18:40:19, 90 ms (0%), 1439406 occupied, 23560543 free Substitution of q32 by an expression in q46, q39, p21, p8, p16 found in e_1240 : 9 factors in 3 terms Step 1603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q16 by an expression in q39, q14, q8, p8, p4, p16 found in e_1337 : 13 factors in 4 terms Step 1604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q8 by an expression in q46, q39, p21, p12, p8, p16 found in e_1390 : 11 factors in 4 terms Step 1605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_397 is a consequence of e_659. Step 1606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1352 is a consequence of e_1343. Step 1615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1409 is a consequence of e_1343. Step 1616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1390 is a consequence of e_1120. Step 1617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_935 is a consequence of e_1406. Step 1624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1149 is a consequence of e_659. Step 1628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1463 is a consequence of e_659. Step 1629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1464 is a consequence of e_659. Step 1630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1330 is a consequence of e_659. Step 1631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_397 is a consequence of e_659. Step 1632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 457 4-Oct-2003 18:40:23, 80 ms (0%), 1447218 occupied, 23552731 free shortening by 1 term Step 1635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1388 is a consequence of e_1343. Step 1636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1312 is a consequence of e_1357. Step 1639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1460 is a consequence of e_1313. Step 1643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_769 is a consequence of e_1339. Step 1649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_946 is a consequence of e_1141. Step 1652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1383 is a consequence of e_552. Step 1654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1464 is a consequence of e_1251. Step 1656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1327 is a consequence of e_1251. Step 1657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1330 is a consequence of e_1340. Step 1658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_794 is a consequence of e_854. Step 1659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_397 is a consequence of e_854. Step 1660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1328 is a consequence of e_1339. Step 1661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1498 is a consequence of e_854. Step 1662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term *** Garbage collection starting *** GC 458 4-Oct-2003 18:40:26, 70 ms (0%), 1443826 occupied, 23556122 free Step 1679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 459 4-Oct-2003 18:40:30, 80 ms (0%), 1444380 occupied, 23555568 free *** Garbage collection starting *** GC 460 4-Oct-2003 18:40:33, 70 ms (0%), 1444856 occupied, 23555092 free *** Garbage collection starting *** GC 461 4-Oct-2003 18:40:36, 70 ms (0%), 1445390 occupied, 23554558 free shortening by 1 term Step 1683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1463 and e_958. e_958: 0=(q25 - 2*q42)*p5 is replaced by e_1306: 0=p5*q42 e_1306 is a consequence of e_1406. Step 1684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1463 and e_1365. e_1365: 0=(5*q25 - 6*q42)*p5 is replaced by e_1304: 0=p5*q42 e_1304 is a consequence of e_1406. Step 1685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 462 4-Oct-2003 18:40:39, 70 ms (0%), 1444164 occupied, 23555784 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 463 4-Oct-2003 18:40:42, 90 ms (0%), 1606540 occupied, 23393342 free Eliminate q25 from e_991 and e_1374. e_1374: 0=(2*q25 - 3*q42)*p3 is replaced by e_1380: 0=p3*q42 e_1380 is a consequence of e_1251. Step 1686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_991 and e_1384. e_1384: 0=(q25 - q42)*p3 is replaced by e_1457: 0=p3*q42 e_1457 is a consequence of e_1251. Step 1687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1120 and e_1361. e_1361: 0=(q25 + 21*q42)*p4 is replaced by e_757: 0=p4*q42 e_757 is a consequence of e_1340. Step 1688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 464 4-Oct-2003 18:40:45, 90 ms (0%), 1587435 occupied, 23412443 free Eliminate q42 from e_1199 and e_882. e_882: 0=(2*q25 - q42)*p18 is replaced by e_1272: 0=p18*q25 Step 1689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1272 and e_1299. e_1299: 0=p18*(q25 - q42) is replaced by e_1337: 0=p18*q42 e_1337 is a consequence of e_1199. Step 1690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1458. e_1458: 0=(2*q25 - q42)*p7 is replaced by e_1371: 0=p7*q42 e_1371 is a consequence of e_1343. Step 1691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 465 4-Oct-2003 18:40:48, 80 ms (0%), 1579850 occupied, 23420044 free Eliminate q25 from e_659 and e_1462. e_1462: 0=(2*q25 - 3*q42)*p7 is replaced by e_1408: 0=p7*q42 e_1408 is a consequence of e_1343. Step 1692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1145. e_1145: 0=(4*q25 + 5*q42)*p7 is replaced by e_1350: 0=p7*q42 e_1350 is a consequence of e_1343. Step 1693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1352. e_1352: 0=(q25 + 6*q42)*p7 is replaced by e_935: 0=p7*q42 e_935 is a consequence of e_1343. Step 1694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1325. e_1325: 0=(q25 + 2*q42)*p7 is replaced by e_1387: 0=p7*q42 e_1387 is a consequence of e_1343. Step 1695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 466 4-Oct-2003 18:40:50, 90 ms (0%), 1543576 occupied, 23456295 free Eliminate q25 from e_659 and e_1133. e_1133: 0=(q25 + q42)*p7 is replaced by e_769: 0=p7*q42 e_769 is a consequence of e_1343. Step 1696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_998. e_998: 0=(q25 + 5*q42)*p7 is replaced by e_1353: 0=p7*q42 e_1353 is a consequence of e_1343. Step 1697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1398. e_1398: 0=(2*q25 + q42)*p7 is replaced by e_1047: 0=p7*q42 e_1047 is a consequence of e_1343. Step 1698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_659 and e_1164. e_1164: 0=(4*q25 - 3*q42)*p7 is replaced by e_1367: 0=p7*q42 e_1367 is a consequence of e_1343. Step 1699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 467 4-Oct-2003 18:40:53, 80 ms (0%), 1538661 occupied, 23461214 free Eliminate q25 from e_659 and e_1313. e_1313: 0=(q25 - q42)*p7 is replaced by e_1240: 0=p7*q42 e_1240 is a consequence of e_1343. Step 1700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 468 4-Oct-2003 18:40:56, 90 ms (0%), 1653622 occupied, 23346233 free Eliminate q42 from e_1341 and e_1344. e_1344: 0=(34*q25 - 13*q42)*p21 is replaced by e_1366: 0=p21*q25 Step 1701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 469 4-Oct-2003 18:40:58, 70 ms (0%), 1441942 occupied, 23558005 free Eliminate q25 from e_1366 and e_1474. e_1474: 0=p21*(q25 - q42) is replaced by e_1354: 0=p21*q42 e_1354 is a consequence of e_1341. Step 1702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 470 4-Oct-2003 18:41:01, 90 ms (0%), 1610202 occupied, 23389682 free Eliminate q42 from e_1214 and e_1339. e_1339: 0=(q25 - q42)*p13 is replaced by e_946: 0=p13*q25 Step 1703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 471 4-Oct-2003 18:41:04, 90 ms (0%), 1702896 occupied, 23296909 free Eliminate q42 from e_968 and e_940. e_940: 0=(q25 - q42)*p8 is replaced by e_1138: 0=p8*q25 e_1138 is a consequence of e_1054. Step 1704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q25 from e_1269 and e_854. e_854: 0=(q25 - q42)*p2 is replaced by e_1149: 0=p2*q42 e_1149 is a consequence of e_54. Step 1705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 472 4-Oct-2003 18:41:07, 80 ms (0%), 1528650 occupied, 23471235 free Eliminate q25 from e_1267 and e_552. e_552: 0=(q25 - q42)*p12 is replaced by e_1329: 0=p12*q42 Step 1706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_1460 and e_1345. e_1460: 0=(q25 - 2*q42)*p15 is replaced by e_1324: 0=p15*q25 Step 1707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 473 4-Oct-2003 18:41:09, 90 ms (0%), 1623368 occupied, 23376496 free Eliminate q25 from e_1324 and e_1345. e_1345: 0=(q25 - q42)*p15 is replaced by e_1302: 0=p15*q42 Step 1708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 474 4-Oct-2003 18:41:12, 90 ms (0%), 1718042 occupied, 23281768 free *** Garbage collection starting *** GC 475 4-Oct-2003 18:41:15, 90 ms (0%), 1619297 occupied, 23380563 free *** Garbage collection starting *** GC 476 4-Oct-2003 18:41:17, 70 ms (0%), 1490299 occupied, 23509639 free *** Garbage collection starting *** GC 477 4-Oct-2003 18:41:20, 90 ms (0%), 1658249 occupied, 23341608 free *** Garbage collection starting *** GC 478 4-Oct-2003 18:41:23, 90 ms (0%), 1543754 occupied, 23456127 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1221 we get the alternative equations : 0=q46 0=p3 New level : 1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1576 : 0=q46 e_11 is a consequence of e_1576 Step 1709: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 25 terms e_1287 is a consequence of e_1057. Substitution of q46 found in e_1576 : q46=0 Step 1710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 479 4-Oct-2003 18:41:26, 110 ms (0%), 1494815 occupied, 23505131 free --- Algebraic length reduction of equations : shortening by 1 term Step 1711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1540 is a consequence of e_1548 Step 1732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1569 is a consequence of e_1548. Step 1748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms Substitution of q33 by an expression in q39, q31, q14, q10, p21, p16 found in e_1551 : 15 factors in 5 terms Step 1773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 480 4-Oct-2003 18:41:29, 80 ms (0%), 1500183 occupied, 23499763 free shortening by 1 term Step 1788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms Substitution of q7 by an expression in q31, q14, q13, q10, p12, p2, p16 found in e_1512 : 18 factors in 5 terms Step 1805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 1839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 1841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 481 4-Oct-2003 18:41:33, 80 ms (0%), 1498463 occupied, 23501482 free shortening by 1 term Step 1876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1383 is a consequence of e_1564. Step 1881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q37 by an expression in q39, q31, q14, p18, p13, p8, p16 found in e_1561 : 10 factors in 4 terms Step 1897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 482 4-Oct-2003 18:41:37, 80 ms (0%), 1500943 occupied, 23499002 free --- Algebraic length reduction of equations : shortening by 1 term Step 1933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 483 4-Oct-2003 18:41:41, 90 ms (0%), 1533421 occupied, 23466519 free Eliminate q31 from e_1564 and e_1363. e_1564: 0=(2*q10 - q31)*p21 is replaced by e_1571: 0=p21*q10 Step 1998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_1571 and e_1363. e_1363: 0=(102*q10 - 71*q31)*p21 is replaced by e_1408: 0=p21*q31 Step 2004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 484 4-Oct-2003 18:41:45, 100 ms (0%), 1705739 occupied, 23294102 free *** Garbage collection starting *** GC 485 4-Oct-2003 18:41:48, 90 ms (0%), 1623384 occupied, 23376472 free *** Garbage collection starting *** GC 486 4-Oct-2003 18:41:52, 100 ms (0%), 1729921 occupied, 23269928 free *** Garbage collection starting *** GC 487 4-Oct-2003 18:41:55, 120 ms (0%), 1658589 occupied, 23341295 free *** Garbage collection starting *** GC 488 4-Oct-2003 18:41:59, 100 ms (0%), 1559663 occupied, 23440268 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1567 we get the alternative equations : 0=q14 0=p12 New level : 1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1600 : 0=q14 e_1299 is a consequence of e_1600 Step 2023: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q14 found in e_1600 : q14=0 Step 2024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms Substitution of q9 by an expression in q31, q17, q13, p12, p4, p16 found in e_1179 : 14 factors in 4 terms Step 2025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms *** Garbage collection starting *** GC 489 4-Oct-2003 18:42:02, 80 ms (0%), 1547572 occupied, 23452366 free Substitution of q17 by an expression in q39, q13, q10, p8, p5, p4, p16 found in e_752 : 14 factors in 5 terms Step 2026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1712 is a consequence of e_1374. Step 2027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1371 is a consequence of e_1600 Step 2028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1655 is a consequence of e_1649. Step 2031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1654 is a consequence of e_1133. Step 2087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1497 is a consequence of e_1133. Step 2088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 490 4-Oct-2003 18:42:05, 80 ms (0%), 1549636 occupied, 23450304 free shortening by 1 term e_1672 is a consequence of e_1133. Step 2117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1644 is a consequence of e_1548. Step 2122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1547 is a consequence of e_1057. Step 2164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1622 is a consequence of e_1548. Step 2167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 33 terms Substitution of q11 by an expression in q31, q10, p4, p16 found in e_1179 : 10 factors in 3 terms Step 2169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1337 is a consequence of e_1550. Step 2171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1647 is a consequence of e_1550. Step 2175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1675 is a consequence of e_1548. Step 2176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 491 4-Oct-2003 18:42:10, 80 ms (0%), 1541992 occupied, 23457949 free shortening by 2 terms Step 2181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 2195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 2204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 2210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 492 4-Oct-2003 18:42:14, 100 ms (0%), 1745355 occupied, 23254500 free Eliminate q31 from e_1408 and e_1538. e_1538: 0=(26*q10 - 15*q31)*p21 is replaced by e_1622: 0=p21*q10 e_1622 is a consequence of e_1571. Step 2214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_1408 and e_1572. e_1572: 0=(4*q10 - 7*q31)*p21 is replaced by e_1633: 0=p21*q10 e_1633 is a consequence of e_1571. Step 2215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 493 4-Oct-2003 18:42:18, 100 ms (0%), 1745537 occupied, 23254300 free *** Garbage collection starting *** GC 494 4-Oct-2003 18:42:21, 90 ms (0%), 1620595 occupied, 23379280 free *** Garbage collection starting *** GC 495 4-Oct-2003 18:42:25, 90 ms (0%), 1686789 occupied, 23313086 free *** Garbage collection starting *** GC 496 4-Oct-2003 18:42:29, 90 ms (0%), 1731329 occupied, 23268542 free *** Garbage collection starting *** GC 497 4-Oct-2003 18:42:32, 80 ms (0%), 1595746 occupied, 23404183 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1350 we get the alternative equations : 0=q31 0=p12 New level : 1.1.1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_1675 : 0=q31 e_1150,e_1464,e_1522,e_1408 are consequences of e_1675 Step 2216: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 30 terms e_1674 is a consequence of e_1638. e_1609 is a consequence of e_1638. e_1535 is a consequence of e_1638. Substitution of q31 found in e_1675 : q31=0 Step 2217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 38 terms Substitution of q13 by an expression in q39, q10, p18, p13, p2, p16 found in e_1717 : 9 factors in 4 terms Step 2218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 498 4-Oct-2003 18:42:35, 90 ms (0%), 1577888 occupied, 23422054 free shortening by 1 term Step 2243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1785 is a consequence of e_767. e_1785 is a consequence of e_1666. Step 2309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1771 is a consequence of e_1548. e_1771 is a consequence of e_1666. Step 2310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 499 4-Oct-2003 18:42:40, 120 ms (0%), 1573164 occupied, 23426780 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 500 4-Oct-2003 18:42:44, 80 ms (0%), 1600911 occupied, 23399030 free *** Garbage collection starting *** GC 501 4-Oct-2003 18:42:49, 90 ms (0%), 1688736 occupied, 23311107 free *** Garbage collection starting *** GC 502 4-Oct-2003 18:42:53, 90 ms (0%), 1626954 occupied, 23372973 free *** Garbage collection starting *** GC 503 4-Oct-2003 18:42:57, 90 ms (0%), 1704386 occupied, 23295480 free *** Garbage collection starting *** GC 504 4-Oct-2003 18:43:02, 90 ms (0%), 1657734 occupied, 23342127 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1672 we get the alternative equations : 0=q10 0=p4 New level : 1.1.1.1.1.1.1.2.1.1.1.1. CRACK is now called with the new equation e_1805 : 0=q10 e_1721,e_1724,e_1676,e_1626,e_1616,e_1550,e_1571,e_1146,e_1638,e_1489 are consequences of e_1805 Step 2316: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 28 terms e_1754 is a consequence of e_1791. e_1753 is a consequence of e_1791. e_1790 is a consequence of e_1783. e_1792 is a consequence of e_1715. Substitution of q10 found in e_1805 : q10=0 Step 2317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms Substitution of q38 by an expression in q39, q36, p13, p5, p2, p16 found in e_1646 : 12 factors in 5 terms Step 2318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms e_1825 is a consequence of e_767. e_1721 is a consequence of e_767. Substitution of q40 by an expression in q39, p15, p13, p5, p2, p16 found in e_1767 : 18 factors in 5 terms Step 2319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_1663 is a consequence of e_1795. Step 2329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1571 is a consequence of e_767. Step 2345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1550 is a consequence of e_767. Step 2346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1616 is a consequence of e_767. Step 2347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1626 is a consequence of e_767. Step 2348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 505 4-Oct-2003 18:43:05, 90 ms (0%), 1592226 occupied, 23407714 free shortening by 1 term Step 2349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms e_1827 is a consequence of e_1664. Substitution of q12 by an expression in q36, p5, p16 found in e_1762 : 1 ---*p5*q36 2 q12=------------ p16 Step 2373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1833 is a consequence of e_1638. Step 2374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1691 is a consequence of e_1646. Step 2382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1728 is a consequence of e_1646. Step 2383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1762 is a consequence of e_1646. Step 2387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 506 4-Oct-2003 18:43:09, 90 ms (0%), 1639544 occupied, 23360378 free *** Garbage collection starting *** GC 507 4-Oct-2003 18:43:13, 90 ms (0%), 1608493 occupied, 23391445 free Eliminate q42 from e_1349 and e_1331. e_1331: 0=(q25 - q42)*(2*p6 + 3*p7) is replaced by e_1737: 0=q25*(2*p6 + 3*p7) Step 2390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_594 and e_1308. e_1308: 0=(q25 - q42)*(p17 - p6) is replaced by e_1744: 0=q25*(p17 - p6) Step 2391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 508 4-Oct-2003 18:43:18, 90 ms (0%), 1669443 occupied, 23330423 free *** Garbage collection starting *** GC 509 4-Oct-2003 18:43:22, 100 ms (0%), 1671003 occupied, 23328857 free *** Garbage collection starting *** GC 510 4-Oct-2003 18:43:26, 100 ms (0%), 1680291 occupied, 23319571 free *** Garbage collection starting *** GC 511 4-Oct-2003 18:43:31, 90 ms (0%), 1693443 occupied, 23306410 free *** Garbage collection starting *** GC 512 4-Oct-2003 18:43:35, 90 ms (0%), 1599365 occupied, 23400571 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1406 we get the alternative equations : 0=p5 0=q42 New level : 1.1.1.1.1.1.1.2.1.1.1.1.1. CRACK is now called with the new equation e_1875 : 0=p5 e_1463 is a consequence of e_1875 Step 2392: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 24 terms e_1810 is a consequence of e_1302. e_1672 is a consequence of e_1340. e_1842 is a consequence of e_1340. Substitution of p5 found in e_1875 : p5=0 Step 2393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q19 by an expression in q41, q36, q21, p6, p4, p2, p16 found in e_1800 : 11 factors in 4 terms Step 2394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 29 terms e_1925 is a consequence of e_1548. e_1926 is a consequence of e_767. e_1927 is a consequence of e_1568. e_1928 is a consequence of e_1057. Substitution of q36 by an expression in q39, p15, p13, p4, p2, p16 found in e_1817 : 14 factors in 5 terms Step 2395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 513 4-Oct-2003 18:43:38, 90 ms (0%), 1628773 occupied, 23371164 free shortening by 1 term Step 2400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1120 and e_1836. e_1836: 0=(q25 - q42)*p4 is replaced by e_1895: 0=p4*q42 e_1895 is a consequence of e_1340. Step 2415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 514 4-Oct-2003 18:43:42, 100 ms (0%), 1729935 occupied, 23269902 free *** Garbage collection starting *** GC 515 4-Oct-2003 18:43:46, 100 ms (0%), 1732127 occupied, 23267725 free *** Garbage collection starting *** GC 516 4-Oct-2003 18:43:51, 90 ms (0%), 1626403 occupied, 23373534 free *** Garbage collection starting *** GC 517 4-Oct-2003 18:43:55, 90 ms (0%), 1676449 occupied, 23323477 free *** Garbage collection starting *** GC 518 4-Oct-2003 18:43:59, 100 ms (0%), 1718050 occupied, 23281809 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1120 we get the alternative equations : 0=p4 0=q25 New level : 1.1.1.1.1.1.1.2.1.1.1.1.1.1. CRACK is now called with the new equation e_1961 : 0=p4 e_1816,e_1588,e_1660,e_1893,e_1340 are consequences of e_1961 Step 2416: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 22 terms e_1810 is a consequence of e_991.e_1819 is a consequence of e_1672 e_1802,e_1848 are consequences of e_1331 e_1821 is a consequence of e_1302. e_1837 is a consequence of e_1269. e_1790 is a consequence of e_1753. e_1884 is a consequence of e_1666. e_1872 is a consequence of e_1666. e_1886 is a consequence of e_1331.e_1684,e_1880,e_1881,e_1834,e_1823,e_1871 are consequences of e_1874 e_1406 is a consequence of e_1331. e_1876 is a consequence of e_1672. e_1876 is a consequence of e_1666.e_1752,e_1813 are consequences of e_1878 e_1836 is a consequence of e_1666. e_1895 is a consequence of e_1878. Substitution of p4 found in e_1961 : p4=0 Step 2417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms e_1846 is a consequence of e_1878. e_1887 is a consequence of e_1878. e_1883 is a consequence of e_1878. e_1913 is a consequence of e_1331. e_1913 is a consequence of e_1666. e_1912 is a consequence of e_1331. e_1912 is a consequence of e_1666. e_1800 is a consequence of e_1878. e_1898 is a consequence of e_1331. e_1945 is a consequence of e_1878. Substitution of q15 found in e_1874 : q15=0 Step 2418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms Substitution of q20 found in e_1878 : q20=0 Step 2419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms e_1895 is a consequence of e_767. e_1961 is a consequence of e_1548. e_1941 is a consequence of e_1331. e_1903 is a consequence of e_1666. Substitution of q21 by an expression in q39, p13, p8, p6, p16 found in e_1836 : 10 factors in 3 terms Step 2430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_1953 is a consequence of e_1672. Step 2437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 2442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 519 4-Oct-2003 18:44:02, 90 ms (0%), 1635426 occupied, 23364510 free shortening by 7 terms e_1871 is a consequence of e_1672. Step 2459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1684 is a consequence of e_1672. Step 2464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1406 is a consequence of e_1672. Step 2465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1914 is a consequence of e_1672. Step 2466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1961 is a consequence of e_1842. Step 2469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1941 is a consequence of e_1842. Step 2470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1904 is a consequence of e_1842. Step 2479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1922 is a consequence of e_1842. Step 2490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1939 is a consequence of e_1672. Step 2494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1959 is a consequence of e_1672. Step 2502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1914 is a consequence of e_1672. Step 2503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1660 is a consequence of e_1842. Step 2505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1836 is a consequence of e_1672. Step 2509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1956 is a consequence of e_1568. Step 2510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1803 is a consequence of e_1672. Step 2511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1912 is a consequence of e_1672. Step 2512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1955 is a consequence of e_1672. Step 2513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1884 is a consequence of e_1842. Step 2515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1798 is a consequence of e_1842. Step 2516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1834 is a consequence of e_1842. Step 2517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1947 is a consequence of e_1672. Step 2518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1918 is a consequence of e_1842. Step 2519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1896 is a consequence of e_1672. Step 2520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1886 is a consequence of e_1842. Step 2521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1874 is a consequence of e_1842. Step 2522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1904 is a consequence of e_1672. Step 2523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1924 is a consequence of e_1672. Step 2529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1823 is a consequence of e_1672. Step 2530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1932 is a consequence of e_1672. Step 2531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1933 is a consequence of e_1672. Step 2532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms e_1922 is a consequence of e_1548. e_1922 is a consequence of e_1899. e_1825 is a consequence of e_767. e_1825 is a consequence of e_1899. e_1846 is a consequence of e_1672. e_1846 is a consequence of e_1899. e_1915 is a consequence of e_1331. e_1915 is a consequence of e_1899. e_1952 is a consequence of e_1842. e_1952 is a consequence of e_1899. e_1903 is a consequence of e_1568. e_1903 is a consequence of e_1899. e_1920 is a consequence of e_1899. e_1940 is a consequence of e_1899. e_1833 is a consequence of e_1871. e_1833 is a consequence of e_1899. Substitution of q41 by an expression in q39, p17, p6, p16 found in e_1958 : 10 factors in 3 terms Step 2546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1917 is a consequence of e_1871. Step 2548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1340 is a consequence of e_1660. Step 2552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_1302 and e_1762. e_1762: 0=(q25 - q42)*p15 is replaced by e_1951: 0=p15*q25 e_1951 is a consequence of e_1324. Step 2553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_54 and e_1734. e_1734: 0=(q25 - q42)*p2 is replaced by e_1873: 0=p2*q25 e_1873 is a consequence of e_1269. Step 2554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 520 4-Oct-2003 18:44:06, 90 ms (0%), 1630600 occupied, 23369332 free A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. *** Garbage collection starting *** GC 521 4-Oct-2003 18:44:11, 90 ms (0%), 1626376 occupied, 23373561 free --- Factorization to subcases leading to substitutions : factorizing e_1378 we get the alternative equations : 0=q25 0=p6 New level : 1.1.1.1.1.1.1.2.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1918 : 0=q25 e_1235,e_926,e_877,e_1409,e_1737,e_1744,e_1267,e_1269,e_1054,e_659,e_991,e_1272, e_1366,e_946,e_1324 are consequences of e_1918 Step 2555: Hot list of urgent steps : The list of inequalities got extended by: An expression with 20 terms q39 The lexicographical ordering of unknowns is changed because q39 has to be non-zero, giving q39 a low priority. Old ordering: q42,q39,q25,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2,p16 New ordering: q42,q25,q39,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2,p16 The list of inequalities got extended by: q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q42,q25,q39,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2,p16 New ordering: q25,q42,q39,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2,p16 The list of inequalities got extended by: An expression with 20 terms e_1872 is a consequence of e_1636. Substitution of q25 found in e_1918 : q25=0 Step 2556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 + g0035*p2 e_1837 is a consequence of e_1672. e_1837 is a consequence of e_1302. e_1886 is a consequence of e_1672. e_1886 is a consequence of e_1302. Substitution of p3 found in e_1251 : p3=0 Step 2557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 e_1896 is a consequence of e_1672. e_1896 is a consequence of e_1302. e_1636 is a consequence of e_1672. e_1636 is a consequence of e_1302. e_1666 is a consequence of e_1842. e_1666 is a consequence of e_1214. e_1847 is a consequence of e_1848. Substitution of p2 found in e_54 : p2=0 Step 2558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_71 is a consequence of e_1199. Substitution of p8 found in e_968 : p8=0 Step 2559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms e_1848 is a consequence of e_1672. e_1848 is a consequence of e_1302. Substitution of p13 found in e_1214 : p13=0 Step 2560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 4 terms e_1057 is a consequence of e_1548. e_1057 is a consequence of e_1329. e_758 is a consequence of e_1548. e_758 is a consequence of e_1329. Substitution of p21 found in e_1341 : p21=0 Step 2561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q42,q39,p18,p17,p15,p12,p7,p6,p16 New ordering: q42,q39,p18,p15,p12,p7,p17,p6,p16 The list of inequalities got extended by: p7 Substitution of p7 found in e_1343 : p7=0 leads to a contradiction in : 0=6*p17 + p7 Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: q25 New level : 1.1.1.1.1.1.1.2.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1918 : 0=p6 e_1660,e_1300 are consequences of e_1918 Step 2562: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: g0030*p7 + g0034*p3 + g0035*p2 The list of inequalities got extended by: An expression with 21 terms e_1896 is a consequence of e_1880.e_1141,e_1880 are consequences of e_1872 e_1886 is a consequence of e_659.e_1343,e_1901 are consequences of e_1886 e_1837 is a consequence of e_659. e_1874 is a consequence of e_659. e_1848 is a consequence of e_659. e_1904 is a consequence of e_659. e_1923 is a consequence of e_1872. Substitution of p6 found in e_1918 : p6=0 Step 2563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_1881 is a consequence of e_767. e_1881 is a consequence of e_1366. e_1893 is a consequence of e_1366. e_1893 is a consequence of e_1341. Substitution of p12 found in e_1267 : p12=0 Step 2564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: g0030*p7 + g0034*p3 The list of inequalities got extended by: An expression with 6 terms e_1636 is a consequence of e_1672. e_1636 is a consequence of e_1324. e_1894 is a consequence of e_1842. e_1894 is a consequence of e_946. e_1409 is a consequence of e_946.e_1214,e_1842 are consequences of e_1409 e_877 is a consequence of e_946. e_1463 is a consequence of e_1324. e_1875 is a consequence of e_1324. Substitution of p2 found in e_1269 : p2=0 Step 2565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_1960 is a consequence of e_1272. Substitution of p8 found in e_1054 : p8=0 Step 2566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p3 e_1924 is a consequence of e_1872. e_1790 is a consequence of e_1872. e_1823 is a consequence of e_1872. e_1810 is a consequence of e_1872. Substitution of p7 found in e_659 : p7=0 Step 2567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q42,q39,q25,p21,p18,p17,p15,p13,p3,p16 New ordering: q42,q39,q25,p21,p18,p17,p13,p15,p3,p16 The list of inequalities got extended by: p13 e_1847 is a consequence of e_1936 Substitution of q42 found in e_1251 : q42=0 Step 2568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p3=0 because of the non-vanishing expression: p3 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q42,q41,q39,q25,q21,q20,q15,p21,p18,p17,p15,p13,p12,p8,p7,p6,p4,p3 ,p2,p16 New ordering: q42,q41,q39,q25,q21,q20,q15,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2 ,p4,p16 New level : 1.1.1.1.1.1.1.2.1.1.1.1.1.2. CRACK is now called with the new equation e_1961 : 0=q25 e_1102,e_1235,e_926,e_877,e_1409,e_1737,e_1744,e_1728,e_1267,e_1269,e_1054,e_659 ,e_991,e_1378,e_1272,e_1366,e_946,e_1324 are consequences of e_1961 Step 2569: Hot list of urgent steps : The list of inequalities got extended by: q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q42,q41,q39,q25,q21,q20,q15,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2 ,p4,p16 New ordering: q41,q39,q25,q21,q20,q15,q42,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2 ,p4,p16 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q41,q39,q25,q21,q20,q15,q42,p21,p18,p17,p15,p13,p12,p8,p7,p6,p3,p2 ,p4,p16 New ordering: q41,q39,q25,q21,q20,q15,q42,p21,p18,p17,p13,p12,p8,p7,p6,p3,p2,p15 ,p4,p16 The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: p2 The list of inequalities got extended by: p3 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q41,q39,q25,q21,q20,q15,q42,p21,p18,p17,p13,p12,p8,p7,p6,p3,p2,p15 ,p4,p16 New ordering: q41,q39,q25,q21,q20,q15,q42,p21,p18,p17,p12,p8,p7,p6,p13,p3,p2,p15 ,p4,p16 Substitution of q25 found in e_1961 : q25=0 Step 2570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p3=0 because of the non-vanishing expression: p3 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q42,q41,q39,q36,q25,q21,q20,q19,q15,p21,p18,p17,p15,p13,p12,p8,p7, p6,p5,p4,p3,p2,p16 New ordering: q42,q41,q39,q36,q25,q21,q20,q19,q15,p21,p18,p17,p15,p13,p12,p8,p7, p6,p4,p3,p2,p5,p16 New level : 1.1.1.1.1.1.1.2.1.1.1.1.2. CRACK is now called with the new equation e_1875 : 0=q42 e_758,e_793,e_594,e_1147,e_1386,e_617,e_900,e_1349,e_1251,e_54,e_968,e_1214, e_1340,e_1341,e_1343,e_1199,e_1300,e_1329,e_1302 are consequences of e_1875 Step 2571: Hot list of urgent steps : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 5 terms q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q42,q41,q39,q36,q25,q21,q20,q19,q15,p21,p18,p17,p15,p13,p12,p8,p7, p6,p4,p3,p2,p5,p16 New ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p13,p12,p8,p7, p6,p4,p3,p2,p5,p16 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p13,p12,p8,p7, p6,p4,p3,p2,p5,p16 New ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p13,p12,p8,p7, p6,p3,p2,p4,p5,p16 The list of inequalities got extended by: p2 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p13,p12,p8,p7, p6,p3,p2,p4,p5,p16 New ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p12,p8,p7,p6, p3,p13,p2,p4,p5,p16 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p15,p12,p8,p7,p6, p3,p13,p2,p4,p5,p16 New ordering: q42,q41,q39,q36,q21,q20,q19,q15,q25,p21,p18,p17,p12,p8,p7,p6,p3, p15,p13,p2,p4,p5,p16 Substitution of q42 found in e_1875 : q42=0 Step 2572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_1761 is a consequence of e_1823. e_1761 is a consequence of e_1366. e_1146 is a consequence of e_1638. e_1146 is a consequence of e_1366. e_1331 is a consequence of e_767. e_1331 is a consequence of e_1366. Substitution of p12 found in e_1267 : p12=0 Step 2573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p2=0 because of the non-vanishing expression: p2 The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 16 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: q10 New level : 1.1.1.1.1.1.1.2.1.1.1.2. CRACK is now called with the new equation e_1805 : 0=p4 e_1588,e_1340,e_1120 are consequences of e_1805 Step 2574: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 32 terms e_1791 is a consequence of e_1489.e_1406,e_1463 are consequences of e_1791 e_1754 is a consequence of e_1302. e_1753 is a consequence of e_1489. e_1783 is a consequence of e_1489. e_1790 is a consequence of e_1638. e_1790 is a consequence of e_1269. e_1795 is a consequence of e_1489. e_1641 is a consequence of e_530. *** Garbage collection starting *** GC 522 4-Oct-2003 18:44:19, 50 ms (0%), 1237282 occupied, 23762666 free Substitution of p4 found in e_1805 : p4=0 Step 2575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_1802 is a consequence of e_1571. e_1684 is a consequence of e_1571. e_1633 is a consequence of e_1571. e_1390 is a consequence of e_1571. e_1664 is a consequence of e_1571. e_1803 is a consequence of e_1571. e_1803 is a consequence of e_767. e_1804 is a consequence of e_1571. e_1804 is a consequence of e_1341. e_1672 is a consequence of e_1146. e_1120 is a consequence of e_1146. e_1719 is a consequence of e_1571. e_1799 is a consequence of e_1571. e_1133 is a consequence of e_1571. Substitution of p12 found in e_1550 : p12=0 Step 2576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 18 terms e_1324,e_1302 are consequences of e_1564 e_1214,e_946 are consequences of e_1654 e_1668 is a consequence of e_1654. e_1179 is a consequence of e_1654. e_1693 is a consequence of e_1564. e_1662 is a consequence of e_1564. e_1629 is a consequence of e_1564. e_1775 is a consequence of e_1564. e_1696 is a consequence of e_1654. e_1722 is a consequence of e_1654. Substitution of p21 found in e_1571 : p21=0 Step 2577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_1835 is a consequence of e_1489. Substitution of p3 found in e_1146 : p3=0 Step 2578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 + g0032*p5 e_1463 is a consequence of e_1489. e_1796 is a consequence of e_1654. e_1718 is a consequence of e_1654. e_1626 is a consequence of e_1489. e_1666 is a consequence of e_1654. e_1753 is a consequence of e_1654. e_1783 is a consequence of e_1654. e_1790 is a consequence of e_1489. e_1795 is a consequence of e_1564.e_1343,e_659 are consequences of e_1408 e_1810 is a consequence of e_1408.e_1464 is a consequence of e_1809 e_1813 is a consequence of e_1408.e_1661 is a consequence of e_1811 e_1814 is a consequence of e_1654. Substitution of p2 found in e_1638 : p2=0 Step 2579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 e_1754 is a consequence of e_1564. e_1644 is a consequence of e_1564. e_1673 is a consequence of e_1564. e_1674 is a consequence of e_1811.e_1054,e_968 are consequences of e_1805 e_1641 is a consequence of e_1564. e_1837 is a consequence of e_1564. e_1836 is a consequence of e_1564. e_1588 is a consequence of e_1564. e_1719 is a consequence of e_1564. e_1812 is a consequence of e_1564. Substitution of p5 found in e_1489 : p5=0 Step 2580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_1675 is a consequence of e_1654. e_1340 is a consequence of e_1654. e_1840 is a consequence of e_1809. e_1840 is a consequence of e_1654. e_1806 is a consequence of e_1809. e_1806 is a consequence of e_1654. e_1757 is a consequence of e_1805. e_1133 is a consequence of e_1654. e_1759 is a consequence of e_1654. e_1808 is a consequence of e_1654. e_1732 is a consequence of e_1408. e_1820 is a consequence of e_1408. e_1830 is a consequence of e_1654. e_1831 is a consequence of e_1654. Substitution of p15 found in e_1564 : p15=0 Step 2581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 12 terms e_1741 is a consequence of e_1408. e_1799 is a consequence of e_1805. e_1106 is a consequence of e_1811. e_1801 is a consequence of e_1811. e_1738 is a consequence of e_1408. e_1838 is a consequence of e_1839. e_1822 is a consequence of e_1408.e_1308,e_14,e_19,e_594,e_1802 are consequences of e_1827 e_1535 is a consequence of e_1408. e_1815 is a consequence of e_1408.e_1235,e_617 are consequences of e_1828 e_1846 is a consequence of e_1408. e_1829 is a consequence of e_1827. Substitution of p13 found in e_1654 : p13=0 Step 2582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q25,q21,q20,q19,q15,q12,q10,p18,p17,p8,p7, p6,p16 New ordering: q42,q41,q40,q39,q38,q36,q25,q21,q20,q19,q15,q12,q10,p18,p8,p17,p7, p6,p16 The list of inequalities got extended by: q15 The lexicographical ordering of unknowns is changed because q15 has to be non-zero, giving q15 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q25,q21,q20,q19,q15,q12,q10,p18,p8,p17,p7, p6,p16 New ordering: q42,q41,q40,q39,q38,q36,q25,q21,q20,q19,q12,q15,q10,p18,p8,p17,p7, p6,p16 The list of inequalities got extended by: q12 Substitution of p7 found in e_1408 : p7=0 leads to a contradiction in : 0=6*p6 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 110 ms The list of inequalities got extended by: q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q15,q13,q12,q10,p21, p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New ordering: q42,q41,q40,q39,q38,q36,q25,q21,q20,q19,q15,q13,q12,q10,q31,p21, p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New level : 1.1.1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_1675 : 0=p12 e_1267,e_1329,e_1548,e_1550,e_1600 are consequences of e_1675 Step 2583: Hot list of urgent steps : The list of inequalities got extended by: An expression with 24 terms e_1672 is a consequence of e_1408.e_1474,e_1341,e_1366,e_767,e_1571,e_1374,e_397 are consequences of e_1672 e_1638 is a consequence of e_1408. e_1489 is a consequence of e_1408. e_1674 is a consequence of e_1408. e_1720 is a consequence of e_1634. *** Garbage collection starting *** GC 523 4-Oct-2003 18:44:24, 60 ms (0%), 1251257 occupied, 23748690 free Substitution of p12 found in e_1675 : p12=0 Step 2584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms Substitution of p3 found in e_1522 : p3=0 Step 2585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 17 terms e_1409 is a consequence of e_1669 e_1236 is a consequence of e_1688 e_1696 is a consequence of e_1669. Substitution of p21 found in e_1408 : p21=0 Step 2586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_1648 is a consequence of e_1269. e_1662 is a consequence of e_54. e_1538 is a consequence of e_1269.e_1054,e_968 are consequences of e_1572 e_1308,e_14,e_19,e_594 are consequences of e_1617 e_1633 is a consequence of e_1617. e_1179 is a consequence of e_1617. e_1708 is a consequence of e_1617. Substitution of p13 by an expression in p2 found in e_1669 : p13=p2 Step 2587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 16 terms e_1588 is a consequence of e_1660. e_1534 is a consequence of e_1712. Substitution of p8 found in e_1572 : p8=0 Step 2588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_1341 is a consequence of e_767. e_1672 is a consequence of e_1474. Substitution of p17 by an expression in p6 found in e_1617 : p17=p6 Step 2589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 6 terms e_1759 is a consequence of e_1758. *** Garbage collection starting *** GC 524 4-Oct-2003 18:44:27, 60 ms (0%), 1282087 occupied, 23717854 free Substitution of p5 by an expression in p4, p2 found in e_1688 : 7 factors in 3 terms Step 2590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : e_1771 is a consequence of e_1754. e_1773 is a consequence of e_54. e_1753 is a consequence of e_1340. e_1695 is a consequence of e_1622. e_1018 is a consequence of e_1299. e_1639 is a consequence of e_1622. e_1774 is a consequence of e_1758.e_1646 is a consequence of e_1592 Substitution of p15 by an expression in p4, p2 found in e_1712 : p15=p2 + p4 Step 2591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q13 by an expression in q10, q31, p18, p16 found in e_1501 : 7 factors in 3 terms Step 2592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q19 by an expression in q41, q36, p7, p6, p4, p2, p16 found in e_1613 : 14 factors in 5 terms Step 2593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms Substitution of q40 by an expression in q39, q10, q31, p18, p4, p2, p16 found in e_1306 : 15 factors in 5 terms Step 2594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q38 by an expression in q39, q10, q31, p18, p4, p2, p16 found in e_1514 : 14 factors in 5 terms Step 2595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q36 by an expression in q39, q10, q31, p18, p4, p2, p16 found in e_1390 : 14 factors in 5 terms Step 2596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 525 4-Oct-2003 18:44:30, 50 ms (0%), 1281703 occupied, 23718231 free --- Algebraic length reduction of equations : shortening by 1 term Step 2599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 2613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1776 is a consequence of e_1646. Step 2624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1777 is a consequence of e_1646. Step 2625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1778 is a consequence of e_1646. Step 2626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms e_1780 is a consequence of e_1660. Substitution of q21 by an expression in q39, p6, p16 found in e_1779 : p6*q39 q21=-------- p16 Step 2628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1613 is a consequence of e_1646. Step 2646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1662 is a consequence of e_1756. Step 2660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_1300 and e_1571. e_1571: 0=(q25 - q42)*p6 is replaced by e_1538: 0=p6*q25 e_1538 is a consequence of e_1378. Step 2661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1120 and e_1622. e_1622: 0=(q25 - q42)*p4 is replaced by e_968: 0=p4*q42 e_968 is a consequence of e_1340. Step 2662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 526 4-Oct-2003 18:44:34, 70 ms (0%), 1375203 occupied, 23624656 free Eliminate q10 from e_1592 and e_1597. e_1592: 0=(3*q10 + q31)*p2 is replaced by e_1054: 0=p2 e_1632,e_1687,e_1699,e_1570,e_1651,e_1597,e_1269,e_54,e_1812 are consequences of e_1054 Step 2663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 25 terms e_1363 is a consequence of e_1120. e_14 is a consequence of e_594. e_1510 is a consequence of e_594. e_1633 is a consequence of e_1340. e_1179 is a consequence of e_1340. e_1708 is a consequence of e_1120. e_1618 is a consequence of e_1340. e_1588 is a consequence of e_1120. e_1534 is a consequence of e_1120. e_1374 is a consequence of e_1634. e_1341 is a consequence of e_1647. e_1672 is a consequence of e_1647. e_1746 is a consequence of e_1646.e_1684,e_1691,e_1634,e_1572,e_1647,e_1340, e_1120,e_594,e_1328 are consequences of e_1747 e_1748 is a consequence of e_1747. e_1643 is a consequence of e_1747. e_1694 is a consequence of e_1747. e_1605 is a consequence of e_1747. e_1285 is a consequence of e_1747. e_1602 is a consequence of e_1747. e_1606 is a consequence of e_1747. e_1760 is a consequence of e_1747. e_1628 is a consequence of e_1747. e_1693 is a consequence of e_1747. e_1635 is a consequence of e_1747. e_1678 is a consequence of e_1747. e_1366 is a consequence of e_1747. e_1558 is a consequence of e_1747.e_1343,e_659,e_19 are consequences of e_1329 e_1350 is a consequence of e_1747. e_1638 is a consequence of e_1747. e_1814 is a consequence of e_1747.e_767,e_1235,e_617 are consequences of e_1674 e_1489 is a consequence of e_1747. e_1308 is a consequence of e_1329. e_1775 is a consequence of e_1747. e_1617 is a consequence of e_1747. e_1776 is a consequence of e_1747. e_11 is a consequence of e_1747. e_1759 is a consequence of e_1747. Substitution of p2 found in e_1054 : p2=0 Step 2664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: An expression with 14 terms e_1784 is a consequence of e_1329. e_1783 is a consequence of e_1329. e_1712 is a consequence of e_1329. e_1641 is a consequence of e_1329. e_1700 is a consequence of e_1329. e_1146 is a consequence of e_1329. e_1146 is a consequence of e_1646. e_1779 is a consequence of e_1329. e_1780 is a consequence of e_1329.e_1236,e_1799 are consequences of e_1778 e_1777 is a consequence of e_1329. e_1607 is a consequence of e_1646. e_1695 is a consequence of e_1329. e_1018 is a consequence of e_1329. e_1501 is a consequence of e_1787. e_1522 is a consequence of e_1646. e_1408 is a consequence of e_1778. e_1696 is a consequence of e_1646. Substitution of p4 found in e_1747 : p4=0 Step 2665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: q12 The lexicographical ordering of unknowns is changed because q12 has to be non-zero, giving q12 a low priority. Old ordering: q42,q41,q39,q25,q20,q15,q12,q10,q31,p18,p7,p6,p16 New ordering: q42,q41,q39,q25,q20,q15,q10,q12,q31,p18,p7,p6,p16 The list of inequalities got extended by: An expression with 12 terms Substitution of p7 found in e_1329 : p7=0 leads to a contradiction in : 0=3*p6 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: q14 The lexicographical ordering of unknowns is changed because q14 has to be non-zero, giving q14 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q17,q15,q14,q13,q12, q11,q10,q9,p21,p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q17,q15,q13,q12,q11, q10,q9,q14,p21,p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New level : 1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1600 : 0=p12 e_1267,e_1329,e_1548,e_1550 are consequences of e_1600 Step 2666: Hot list of urgent steps : The list of inequalities got extended by: An expression with 23 terms e_1350 is a consequence of e_1408. e_1538 is a consequence of e_1408. e_1374 is a consequence of e_767. e_1133 is a consequence of e_1341.e_1398,e_1524,e_1536,e_1138,e_1299,e_1341, e_1366,e_767,e_1571,e_1408,e_1572 are consequences of e_1585 e_1251,e_991,e_1568,e_1522,e_1588 are consequences of e_397 e_1146 is a consequence of e_397. e_1384 is a consequence of e_397. e_1474 is a consequence of e_1585. e_1534 is a consequence of e_1585. e_1556 is a consequence of e_1585. e_1501 is a consequence of e_1585. e_1018 is a consequence of e_1585. e_854 is a consequence of e_1585. *** Garbage collection starting *** GC 527 4-Oct-2003 18:44:39, 40 ms (0%), 1259490 occupied, 23740461 free Substitution of p12 found in e_1600 : p12=0 Step 2667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 21 terms e_1570 is a consequence of e_397. e_1609 is a consequence of e_397. e_1610 is a consequence of e_397. e_1287 is a consequence of e_1593. Substitution of p21 found in e_1585 : p21=0 Step 2668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms Substitution of p3 found in e_397 : p3=0 Step 2669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q9 by an expression in q31, q14, p4, p2, p16 found in e_1592 : 14 factors in 4 terms Step 2670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q11 by an expression in q31, q10, q14, p4, p2, p16 found in e_1357 : 18 factors in 5 terms Step 2671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 528 4-Oct-2003 18:44:42, 60 ms (0%), 1346478 occupied, 23653467 free *** Garbage collection starting *** GC 529 4-Oct-2003 18:44:45, 60 ms (0%), 1377333 occupied, 23622571 free *** Garbage collection starting *** GC 530 4-Oct-2003 18:44:49, 70 ms (0%), 1405932 occupied, 23593974 free *** Garbage collection starting *** GC 531 4-Oct-2003 18:44:52, 60 ms (0%), 1428798 occupied, 23571102 free *** Garbage collection starting *** GC 532 4-Oct-2003 18:44:56, 60 ms (0%), 1451601 occupied, 23548303 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1340 we get the alternative equations : 0=p4 0=q42 New level : 1.1.1.1.1.1.1.2.1.2.1. CRACK is now called with the new equation e_1650 : 0=p4 e_1120 is a consequence of e_1650 Step 2673: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 18 terms e_1651 is a consequence of e_1463. e_1652 is a consequence of e_1302. e_1653 is a consequence of e_1406. e_1654 is a consequence of e_1406. e_1655 is a consequence of e_1269. e_1659 is a consequence of e_1636. Substitution of p4 found in e_1650 : p4=0 Step 2674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 18 terms e_1746 is a consequence of e_1269. e_1747 is a consequence of e_54. e_1663 is a consequence of e_1658. Substitution of p5 by an expression in p2 found in e_1668 : 1 p5=---*p2 6 Step 2675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms Substitution of q19 by an expression in q41, q36, q21, q12, p18, p6, p2, p16 found in e_1592 : 14 factors in 5 terms Step 2676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 533 4-Oct-2003 18:44:59, 60 ms (0%), 1326866 occupied, 23673084 free The list of inequalities got extended by: An expression with 24 terms Substitution of q17 by an expression in q39, q13, q10, q14, p8, p2, p16 found in e_1676 : 16 factors in 5 terms Step 2677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_54 and e_1658. e_1658: 0=(q25 - q42)*p2 is replaced by e_1808: 0=p2*q25 e_1808 is a consequence of e_1269. Step 2716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p15 from e_1715 and e_1714. e_1715: 0=p2*(22*p13 + 35*p15) is replaced by e_1809: 0=p13*p2 Step 2717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p13 from e_1809 and e_1714. e_1714: 0=p2*(4*p13 + p15) is replaced by e_1812: 0=p15*p2 Step 2718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 534 4-Oct-2003 18:45:03, 60 ms (0%), 1356894 occupied, 23643052 free Eliminate p15 from e_1812 and e_1672. e_1672: 0=p2*(12*p13 + 36*p15 - p2) is replaced by e_1815: 0=p2*(12*p13 - p2) Step 2719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p13 from e_1809 and e_1815. e_1815: 0=p2*(12*p13 - p2) is replaced by e_1817: 0=p2 e_1787,e_1777,e_1780,e_1783,e_1772,e_1588,e_1667,e_1669,e_1718,e_1673,e_1751, e_1752,e_1683,e_1682,e_1677,e_1269,e_54,e_1656,e_1809,e_1812 are consequences of e_1817 Step 2720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: An expression with 15 terms e_1748 is a consequence of e_1302. e_1819 is a consequence of e_946. e_1820 is a consequence of e_946. e_1750 is a consequence of e_1665. e_1749 is a consequence of e_1665. e_1661 is a consequence of e_1665. e_1662 is a consequence of e_1665. e_1654 is a consequence of e_1660. e_1120 is a consequence of e_1660. e_1501 is a consequence of e_1660. e_1384 is a consequence of e_991.e_1791,e_1792 are consequences of e_1790 e_1797 is a consequence of e_1704. Substitution of p2 found in e_1817 : p2=0 Step 2721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms e_1736 is a consequence of e_1802. e_1793 is a consequence of e_1802. e_1686 is a consequence of e_1753. Substitution of q12 found in e_1790 : q12=0 Step 2722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 14 terms Substitution of q15 by an expression in q14, p7, p6, p16 found in e_1794 : 9 factors in 3 terms Step 2723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 535 4-Oct-2003 18:45:06, 60 ms (0%), 1316216 occupied, 23683735 free The list of inequalities got extended by: An expression with 17 terms Substitution of q20 by an expression in q10, q14, p7, p6, p16 found in e_1737 : 16 factors in 5 terms Step 2724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1855 is a consequence of e_1650 Step 2726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1859 is a consequence of e_1790 Step 2794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p13 from e_1789 and e_1713. e_1713: 0=p8*(2*p13 + p15) is replaced by e_1848: 0=p15*p8 Step 2802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p15 from e_1848 and e_1725. e_1725: 0=p8*(p13 + 3*p15) is replaced by e_1851: 0=p13*p8 e_1851 is a consequence of e_1789. Step 2803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_1818 and e_991. e_991: 0=(2*q10 - q31)*p13 is replaced by e_1852: 0=p13*q10 Step 2804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 536 4-Oct-2003 18:45:10, 50 ms (0%), 1311084 occupied, 23688866 free shortening by 1 term Step 2828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_1302 and e_1665. e_1665: 0=(q25 - q42)*p15 is replaced by e_1287: 0=p15*q25 e_1287 is a consequence of e_1324. Step 2836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 537 4-Oct-2003 18:45:14, 60 ms (0%), 1329558 occupied, 23670388 free Eliminate q10 from e_1854 and e_1704. e_1704: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q10,q14,p7) is replaced by e_1679: 0=(4*q14 + 3*q31)*p7 Step 2837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_1768 and e_1679. e_1679: 0=(4*q14 + 3*q31)*p7 is replaced by e_1340: 0=p7 e_1696,e_1343,e_659,e_1768,e_1821,e_1854 are consequences of e_1340 Step 2838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The list of inequalities got extended by: An expression with 14 terms e_14,e_1829,e_1655 are consequences of e_1831 e_1868,e_1877,e_1764,e_1746,e_1660,e_1324,e_1302,e_1657,e_1848 are consequences of e_1786 e_1682,e_1474,e_1570,e_1214,e_946,e_1818,e_1789,e_1852 are consequences of e_1802 e_1737 is a consequence of e_1300.e_594,e_617,e_968,e_1199 are consequences of e_1737 e_1651 is a consequence of e_1378.e_1235,e_1054,e_1272 are consequences of e_1651 e_1862 is a consequence of e_1802. The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q13,q10,q14,p18,p17,p15,p13,p8 ,p7,p6,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q13,q10,q14,p18,p15,p13,p8,p7, p17,p6,p16 e_1308,e_1650 are consequences of e_1841 The list of inequalities got extended by: q10 e_1670 is a consequence of e_1744 e_1711 is a consequence of e_1786. e_1652 is a consequence of e_1141.e_1230,e_1334,e_549,e_1331,e_1346 are consequences of e_1652 e_1844 is a consequence of e_1841. e_1874 is a consequence of e_1802. e_1883 is a consequence of e_1786. Substitution of p7 found in e_1340 : p7=0 Step 2839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q13,q10,q14,p18,p15,p13,p8,p17 ,p6,p16 New ordering: q41,q40,q39,q38,q36,q31,q25,q21,q13,q42,q10,q14,p18,p15,p13,p8,p17 ,p6,p16 The list of inequalities got extended by: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q41,q40,q39,q38,q36,q31,q25,q21,q13,q42,q10,q14,p18,p15,p13,p8,p17 ,p6,p16 New ordering: q41,q40,q39,q38,q36,q31,q21,q13,q25,q42,q10,q14,p18,p15,p13,p8,p17 ,p6,p16 The list of inequalities got extended by: An expression with 13 terms Substitution of q25 found in e_1378 : q25=0 leads to a contradiction in : 0=q25 - q42 Time: 0 ms Time: 0 ms Time: 90 ms The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q17,q15,q13,q12,q10, q14,p18,p17,p15,p13,p8,p7,p6,p5,p4,p2,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q17,q15,q13,q12,q10, q14,p18,p17,p15,p13,p8,p7,p6,p5,p2,p4,p16 New level : 1.1.1.1.1.1.1.2.1.2.2. CRACK is now called with the new equation e_1650 : 0=q42 e_793,e_594,e_1147,e_1386,e_617,e_900,e_1349,e_54,e_968,e_1214,e_1343,e_1406, e_1199,e_1300,e_1302 are consequences of e_1650 Step 2840: Hot list of urgent steps : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 5 terms q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q25,q21,q20,q19,q17,q15,q13,q12,q10, q14,p18,p17,p15,p13,p8,p7,p6,p5,p2,p4,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p13,p8,p7,p6,p5,p2,p4,p16 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p13,p8,p7,p6,p5,p2,p4,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p13,p8,p7,p6,p2,p5,p4,p16 The list of inequalities got extended by: p2 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p13,p8,p7,p6,p2,p5,p4,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p8,p7,p6,p13,p2,p5,p4,p16 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p15,p8,p7,p6,p13,p2,p5,p4,p16 New ordering: q42,q41,q40,q39,q38,q36,q31,q21,q20,q19,q17,q15,q13,q12,q10,q25, q14,p18,p17,p8,p7,p6,p15,p13,p2,p5,p4,p16 e_14,e_19 are consequences of e_1654 e_1611 is a consequence of e_1665 Substitution of q42 found in e_1650 : q42=0 Step 2841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p2=0 because of the non-vanishing expression: p2 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 100 ms The list of inequalities got extended by: q46 The lexicographical ordering of unknowns is changed because q46 has to be non-zero, giving q46 a low priority. Old ordering: q46,q42,q41,q40,q39,q38,q37,q36,q33,q31,q25,q21,q20,q19,q17,q15, q14,q13,q12,q11,q10,q9,q7,p21,p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New ordering: q42,q41,q40,q39,q38,q37,q36,q33,q31,q25,q21,q20,q19,q17,q15,q14, q13,q12,q11,q10,q9,q7,q46,p21,p18,p17,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16 New level : 1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1576 : 0=p3 e_1251,e_991 are consequences of e_1576 Step 2842: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms e_1015 is a consequence of e_1139. Substitution of p3 found in e_1576 : p3=0 Step 2843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 23 terms e_1366 is a consequence of e_1267. e_854 is a consequence of e_1329.e_1409 is a consequence of e_1184 e_1539 is a consequence of e_1184. *** Garbage collection starting *** GC 538 4-Oct-2003 18:45:19, 60 ms (0%), 1334703 occupied, 23665226 free e_1572 is a consequence of e_1460. Substitution of p21 by an expression in p12 found in e_11 : p21=p12 Step 2844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: 3*g0038*p8 + g0039*p16 The list of inequalities got extended by: An expression with 26 terms e_1272 is a consequence of e_1054. e_1600 is a consequence of e_968. Substitution of p18 by an expression in p8 found in e_1460 : p18=3*p8 Step 2845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_946 is a consequence of e_1269. e_1214 is a consequence of e_54. e_877 is a consequence of e_1269.e_1308,e_14,e_19,e_594 are consequences of e_1327 e_1106 is a consequence of e_1327. e_1464 is a consequence of e_1327. e_1629 is a consequence of e_1327. e_1630 is a consequence of e_1327. e_1558 is a consequence of e_1327. Substitution of p13 by an expression in p2 found in e_1184 : p13=p2 Step 2846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_1642 is a consequence of e_1640. e_1644 is a consequence of e_1643. *** Garbage collection starting *** GC 539 4-Oct-2003 18:45:23, 90 ms (0%), 1374203 occupied, 23625726 free Substitution of p17 by an expression in p6 found in e_1327 : p17=p6 Step 2847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms Substitution of q33 by an expression in q31, q14, q10, q46, p8, p16 found in e_1330 : 15 factors in 5 terms Step 2848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1323,e_397,e_1610,e_1609,e_1054,e_968,e_1601,e_1602 are consequences of e_1015 Step 2849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 21 terms e_854 is a consequence of e_1366. e_1272 is a consequence of e_1366. e_1272 is a consequence of e_1576.e_1149,e_1409,e_1343,e_659,e_1576,e_1138 are consequences of e_1464 e_1659 is a consequence of e_1366. e_1661 is a consequence of e_1464. e_1662 is a consequence of e_1464. e_1663 is a consequence of e_1464. *** Garbage collection starting *** GC 540 4-Oct-2003 18:45:26, 70 ms (0%), 1406261 occupied, 23593668 free Substitution of p8 found in e_1015 : p8=0 Step 2850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_1389 is a consequence of e_1572. e_1743 is a consequence of e_1300. e_1744 is a consequence of e_1378. e_1745 is a consequence of e_1300. e_1746 is a consequence of e_1378. e_1539 is a consequence of e_11. e_1747 is a consequence of e_1141. e_1748 is a consequence of e_1141. e_1749 is a consequence of e_1141. Substitution of p7 found in e_1464 : p7=0 Step 2851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_1572,e_11 are consequences of e_1327 e_1676 is a consequence of e_1699. e_1737 is a consequence of e_1699. Substitution of q21 found in e_1600 : q21=0 Step 2852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_1757 is a consequence of e_1627. Substitution of q41 found in e_1327 : q41=0 Step 2853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms e_594 is a consequence of e_1699. e_1460 is a consequence of e_1366.e_1214 is a consequence of e_1655 Substitution of q37 by an expression in q39, p2, p16 found in e_1184 : 3*p2*q39 q37=---------- p16 Step 2854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_1683 is a consequence of e_1699. e_946 is a consequence of e_1366. e_1673 is a consequence of e_1699. e_1673 is a consequence of e_1366. Substitution of q13 found in e_1655 : q13=0 Step 2855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms e_1742 is a consequence of e_1751. Substitution of q19 by an expression in q36, p6, p16 found in e_1627 : p6*q36 q19=-------- p16 Step 2856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms Substitution of q12 by an expression in q36, q31, p6, p5, p16 found in e_1626 : 8 factors in 3 terms Step 2857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms e_1695 is a consequence of e_1366. e_1679 is a consequence of e_1366. e_1711 is a consequence of e_1366. e_1698 is a consequence of e_1366. Substitution of q17 by an expression in q39, p5, p4, p16 found in e_1665 : 7 factors in 3 terms Step 2858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms e_877 is a consequence of e_1699. e_1706 is a consequence of e_1699. e_1653 is a consequence of e_1366. e_1651 is a consequence of e_1366. *** Garbage collection starting *** GC 541 4-Oct-2003 18:45:29, 70 ms (0%), 1408441 occupied, 23591488 free Substitution of q40 by an expression in q39, p15, p5, p16 found in e_1670 : 10 factors in 3 terms Step 2859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q38 by an expression in q39, q36, p5, p2, p16 found in e_1666 : 10 factors in 4 terms Step 2860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 26 terms e_1751 is a consequence of e_1699. e_1684 is a consequence of e_1699. e_1759 is a consequence of e_1699. Substitution of q36 by an expression in q39, p15, p5, p4, p2, p16 found in e_1660 : 14 factors in 5 terms Step 2861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1655 is a consequence of e_1699. e_1655 is a consequence of e_1366. Step 2864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1383 is a consequence of e_1699. e_1383 is a consequence of e_1366. Step 2865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1602 is a consequence of e_1699. e_1602 is a consequence of e_1366. Step 2866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1742 is a consequence of e_1699. e_1742 is a consequence of e_1366. Step 2867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1627 is a consequence of e_1699. e_1627 is a consequence of e_1366. Step 2868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1272 is a consequence of e_1699. e_1272 is a consequence of e_1366. Step 2870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms e_1652 is a consequence of e_1754. e_1652 is a consequence of e_1366. Substitution of q7 by an expression in q31, q46, p6, p5, p16 found in e_1409 : 8 factors in 3 terms Step 2874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 2927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 2929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 2931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1724 is a consequence of e_1754. Step 2933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms Substitution of q15 by an expression in q31, q10, p6, p16 found in e_854 : 9 factors in 3 terms Step 2938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 542 4-Oct-2003 18:45:32, 90 ms (0%), 1401079 occupied, 23598849 free shortening by 3 terms Step 2941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 2943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -1 terms Step 2947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -1 terms Step 2948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 0 terms Step 2951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -3 terms e_1753 is a consequence of e_1699. Step 2952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -2 terms Step 2953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1712,e_1735,e_1141,e_1378,e_1300,e_1699,e_1659 are consequences of e_1681 Step 2994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0032*p5 + g0033*p4 + g0035*p2 The list of inequalities got extended by: An expression with 19 terms e_1677 is a consequence of e_1667. e_1689 is a consequence of e_1667. e_1689 is a consequence of e_1736. e_1717 is a consequence of e_1667. e_1755 is a consequence of e_1667. Substitution of p6 found in e_1681 : p6=0 Step 2995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -3 terms e_1343 is a consequence of e_19. e_1343 is a consequence of e_1667. Step 2996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1703 is a consequence of e_1366. e_1703 is a consequence of e_1667. Step 3003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms Substitution of q9 by an expression in q14, q10, p5, p2, p16 found in e_1689 : 10 factors in 4 terms Step 3046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1138 is a consequence of e_1378. Step 3047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 543 4-Oct-2003 18:45:36, 80 ms (0%), 1394377 occupied, 23605549 free --- Algebraic length reduction of equations : shortening by 2 terms Step 3054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 24 terms Substitution of q11 by an expression in q14, q10, p5, p4, p2, p16 found in e_877 : 16 factors in 5 terms Step 3056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 544 4-Oct-2003 18:45:40, 70 ms (0%), 1390184 occupied, 23609743 free Eliminate q31 from e_1675 and e_1460. e_1460: 0=(3*q10 + 6*q14 + q31)*p2 is replaced by e_1141: 0=(7*q10 + 6*q14)*p2 Step 3090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_1386 and e_1150. e_1150: 0=(q25 - q42)*(p15 + 2*p5) is replaced by e_1717: 0=q25*(p15 + 2*p5) Step 3092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 545 4-Oct-2003 18:45:46, 80 ms (0%), 1422792 occupied, 23577127 free *** Garbage collection starting *** GC 546 4-Oct-2003 18:45:52, 70 ms (0%), 1404900 occupied, 23595022 free *** Garbage collection starting *** GC 547 4-Oct-2003 18:45:58, 80 ms (0%), 1417722 occupied, 23582198 free Eliminate q31 from e_1675 and e_1762. e_1762: 4 terms, 8 factors, with derivatives of functions of all variables: (q31,q14,q10,p5,p2) is replaced by e_1681: 3 terms, 6 factors, with derivatives of functions of all variables: (q14,q10,p5,p2) Step 3093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_1141 and e_1723. e_1723: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q14,q10,p5,p4,p2 ,p2) is replaced by e_1740: (#) 3 terms, 5 factors, with derivatives of functions of all variables: 2 (q10,p5,p4,p2 ,p2) Step 3094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 548 4-Oct-2003 18:46:04, 90 ms (0%), 1418027 occupied, 23581888 free Eliminate q31 from e_1660 and e_1609. e_1609: 5 terms, 10 factors, with derivatives of functions of all variables: (q31,q14,q10,p5,p4,p2) is replaced by e_1749: 5 terms, 10 factors, with derivatives of functions of all variables: (q14,q10,p5,p4,p2) Step 3095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_1733 and e_1730. e_1730: 4 terms, 8 factors, with derivatives of functions of all variables: (q31,q10,q46,p12,p5,p4) is replaced by e_1653: 3 terms, 6 factors, with derivatives of functions of all variables: (q31,q46,p12,p5,p4) Step 3096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_1653 and e_1750. e_1750: 4 terms, 8 factors, with derivatives of functions of all variables: (q31,q10,q46,p12,p5,p4) is replaced by e_1576: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q46,p12,p5,p4) Step 3097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_1576 and e_1733. e_1576: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q46,p12,p5,p4) is replaced by e_1343: 0=5*p4 + 6*p5 Step 3098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 21 terms e_1711 is a consequence of e_1120. e_1686 is a consequence of e_1340. e_767 is a consequence of e_1120. e_1662 is a consequence of e_1340. e_11 is a consequence of e_1340. e_1704 is a consequence of e_1667. e_1718 is a consequence of e_1667. Substitution of p5 by an expression in p4 found in e_1343 : 5 p5= - ---*p4 6 Step 3099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms e_1696 is a consequence of e_1754. Substitution of q20 by an expression in q39, p15, p4, p16 found in e_1744 : 11 factors in 3 terms Step 3100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1740 is a consequence of e_1745 Step 3101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 549 4-Oct-2003 18:46:08, 70 ms (0%), 1386743 occupied, 23613185 free --- Algebraic length reduction of equations : shortening by 1 term Step 3130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_1745 and e_1141. e_1141: 0=(7*q10 + 6*q14)*p2 is replaced by e_1720: 0=p2*q14 e_1651 is a consequence of e_1720 Step 3143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1722,e_1054,e_946,e_1184,e_1746,e_1272,e_1756,e_1667,e_1742,e_1627,e_397, e_1664 are consequences of e_1672 Step 3151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1609 is a consequence of e_1672. Step 3153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1695 is a consequence of e_1672. Step 3154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1600 is a consequence of e_1672. Step 3155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1730 is a consequence of e_1672. Step 3156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1768 is a consequence of e_1672. Step 3157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1743 is a consequence of e_1672. Step 3158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p2 The list of inequalities got extended by: p4 The list of inequalities got extended by: p12 q14 The lexicographical ordering of unknowns is changed because q14 has to be non-zero, giving q14 a low priority. Old ordering: q42,q39,q31,q25,q14,q10,q46,p15,p12,p4,p2,p16 New ordering: q42,q39,q31,q25,q10,q14,q46,p15,p12,p4,p2,p16 The list of inequalities got extended by: p15 The list of inequalities got extended by: q10 The list of inequalities got extended by: q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q42,q39,q31,q25,q10,q14,q46,p15,p12,p4,p2,p16 New ordering: q42,q39,q25,q31,q10,q14,q46,p15,p12,p4,p2,p16 The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 19 terms e_19 is a consequence of e_1723. e_19 is a consequence of e_1672. e_19 is a consequence of e_1754. e_19 is a consequence of e_1366. e_1654 is a consequence of e_1723. e_1654 is a consequence of e_1672. e_1654 is a consequence of e_1754. e_1654 is a consequence of e_1366.e_1657,e_1671,e_1656 are consequences of e_1654 e_1644 is a consequence of e_1302. e_1644 is a consequence of e_1329. e_1644 is a consequence of e_1340. e_1644 is a consequence of e_54. e_1717 is a consequence of e_1324. e_1717 is a consequence of e_1120. e_1717 is a consequence of e_1269. e_1717 is a consequence of e_1267. Substitution of p4 by an expression in p2 found in e_1662 : p4=2*p2 leads to a contradiction in : 0=3*p2 + 4*p4 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: p14 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3 ,p2 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p13,p12,p8,p7,p6,p5,p4,p3,p2, p14 New level : 1.1.1.1.1.1.2. CRACK is now called with the new equation e_1161 : 0=q22 e_757,e_990 are consequences of e_1161 Step 3163: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q22 found in e_1161 : q22=0 Step 3164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 17 terms e_1128,e_1122,e_1020,e_1115,e_1123,e_1126,e_1249,e_1127 are consequences of e_1120 *** Garbage collection starting *** GC 550 4-Oct-2003 18:46:13, 90 ms (0%), 1385773 occupied, 23614178 free Substitution of q43 by an expression in q23 found in e_900 : q43=q23 Step 3165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 15 terms e_116,e_1146 are consequences of e_1117 e_117 is a consequence of e_1236.e_1086,e_755,e_1194,e_940 are consequences of e_1053 e_1153 is a consequence of e_1117.e_758,e_793,e_1251,e_54,e_938,e_1236,e_1152, e_770 are consequences of e_1240 e_1234 is a consequence of e_1089 e_1259 is a consequence of e_1178 e_1135 is a consequence of e_1121. e_971 is a consequence of e_1117. Substitution of q23 found in e_1120 : q23=0 Step 3166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 14 terms e_1149 is a consequence of e_1221.e_882,e_1132,e_1185,e_952,e_1230,e_1054 are consequences of e_1265 Substitution of q2 found in e_1117 : q2=0 Step 3167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 13 terms e_1235 is a consequence of e_1265. e_1015 is a consequence of e_1161. e_1017 is a consequence of e_1265. e_775 is a consequence of e_1265. e_753 is a consequence of e_1265. e_752 is a consequence of e_1265. e_639 is a consequence of e_1265. e_1126 is a consequence of e_1265. Substitution of q6 found in e_1053 : q6=0 Step 3168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 12 terms e_1261 is a consequence of e_1178. e_1207 is a consequence of e_1089.e_82,e_1253 are consequences of e_1214 e_988 is a consequence of e_1178. e_1277 is a consequence of e_1011.e_1192,e_1249 are consequences of e_1194 e_596 is a consequence of e_783. Substitution of q42 found in e_1240 : q42=0 Step 3169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 11 terms e_1009,e_1102,e_1267,e_1269,e_1022,e_759,e_474 are consequences of e_1048 e_1215 is a consequence of e_1178. e_997 is a consequence of e_1187. e_1270 is a consequence of e_1011. e_975 is a consequence of e_905. e_1055 is a consequence of e_1187. Substitution of q44 found in e_1089 : q44=0 Step 3170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 10 terms e_1049 is a consequence of e_1048. e_1273 is a consequence of e_1187. e_40 is a consequence of e_1265. e_1103 is a consequence of e_1047. e_525 is a consequence of e_1187. e_1041 is a consequence of e_1011.e_125,e_1047 are consequences of e_1134 e_1255,e_1221 are consequences of e_1037 e_1136,e_1125,e_1166,e_991 are consequences of e_734 e_921 is a consequence of e_1011. e_1032 is a consequence of e_1187. e_1193 is a consequence of e_905. e_54 is a consequence of e_1048. e_769 is a consequence of e_1048. e_1245 is a consequence of e_1048. e_1144 is a consequence of e_1187. e_1250 is a consequence of e_783. Substitution of q45 found in e_1178 : q45=0 Step 3171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 9 terms e_627 is a consequence of e_905. e_1268 is a consequence of e_905. e_938 is a consequence of e_905. e_1264 is a consequence of e_905. e_918 is a consequence of e_1134. e_749 is a consequence of e_1134. e_1175 is a consequence of e_1123. e_1167 is a consequence of e_1161. e_178 is a consequence of e_1037. e_1127 is a consequence of e_1161. e_1173 is a consequence of e_1161. e_1165 is a consequence of e_1146. e_1120 is a consequence of e_1133. Substitution of q24 found in e_1265 : q24=0 Step 3172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 551 4-Oct-2003 18:46:18, 70 ms (0%), 1388309 occupied, 23611641 free The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 8 terms e_1098 is a consequence of e_1134. e_659 is a consequence of e_1134. e_1150 is a consequence of e_1037. e_1012 is a consequence of e_734. e_1119 is a consequence of e_734. e_1129 is a consequence of e_1134. e_1189 is a consequence of e_1134. e_1176 is a consequence of e_734. e_1116 is a consequence of e_734. e_995 is a consequence of e_734. Substitution of q25 found in e_1048 : q25=0 Step 3173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 7 terms e_78,e_1190,e_1172,e_905,e_649 are consequences of e_1088 e_1194 is a consequence of e_1088. e_1263 is a consequence of e_734. e_1238 is a consequence of e_1037. e_1205 is a consequence of e_1037. e_1052 is a consequence of e_1037. e_1224 is a consequence of e_1037. e_1050 is a consequence of e_1037. e_1200 is a consequence of e_1037. e_1191 is a consequence of e_1037. e_1276 is a consequence of e_1037. e_1256 is a consequence of e_734. e_1115 is a consequence of e_1088. Substitution of q5 found in e_1134 : q5=0 Step 3174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 6 terms e_1279 is a consequence of e_1088. e_1138 is a consequence of e_734. e_616 is a consequence of e_1088. e_758 is a consequence of e_1088. e_1149 is a consequence of e_1088. Substitution of q1 found in e_1037 : q1=0 Step 3175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 5 terms e_617,e_731,e_755,e_1122,e_1179,e_1018,e_1187,e_996,e_1086,e_1020 are consequences of e_1251 e_1140,e_1024,e_1011,e_1057,e_1262,e_860 are consequences of e_1197 e_1002,e_1131,e_1124,e_1121,e_803,e_958 are consequences of e_1214 e_757 is a consequence of e_1197. e_1241 is a consequence of e_1197. e_1130 is a consequence of e_1251. e_1242 is a consequence of e_1214. e_1154 is a consequence of e_1214. e_1074 is a consequence of e_1214. e_1202 is a consequence of e_1214. e_1181 is a consequence of e_990. e_506 is a consequence of e_1214. Substitution of q4 found in e_734 : q4=0 Step 3176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 4 terms e_1254 is a consequence of e_1214. e_615 is a consequence of e_1197. e_1257 is a consequence of e_1214. e_117 is a consequence of e_1214.e_116,e_1210,e_1183,e_1184,e_1146,e_1188,e_1259 ,e_1135,e_971,e_1211,e_1161,e_1133,e_1123 are consequences of e_1128 e_900 is a consequence of e_1128. e_1234 is a consequence of e_1251. e_1212 is a consequence of e_1128. e_1278 is a consequence of e_1128. e_882 is a consequence of e_1251. e_1163 is a consequence of e_1128. e_1195 is a consequence of e_1251. e_1152 is a consequence of e_1128. e_1258 is a consequence of e_1251. e_1275 is a consequence of e_1214. e_1015 is a consequence of e_1197. e_1054 is a consequence of e_1128. e_770 is a consequence of e_1128. Substitution of q29 found in e_1088 : q29=0 Step 3177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: g0009*q28 + g0010*q27 + g0018*q3 e_1235 is a consequence of e_1214. e_1231 is a consequence of e_1214. e_1158 is a consequence of e_1214. e_1248 is a consequence of e_1214. e_1237 is a consequence of e_1214. e_1227 is a consequence of e_1214. e_1185 is a consequence of e_1197. e_1118 is a consequence of e_1214. e_1213 is a consequence of e_1214. e_1230 is a consequence of e_1197. e_952 is a consequence of e_1197. e_793 is a consequence of e_1197. e_1046 is a consequence of e_1214. e_1014 is a consequence of e_1197. e_878 is a consequence of e_1197. e_904 is a consequence of e_1197. e_1252 is a consequence of e_1197. e_783 is a consequence of e_1197. e_1244 is a consequence of e_1214. e_753 is a consequence of e_1214. e_752 is a consequence of e_1214. e_775 is a consequence of e_1214. e_1209 is a consequence of e_1214. e_1060 is a consequence of e_1143. e_1170 is a consequence of e_1197. e_1169 is a consequence of e_1197. e_1159 is a consequence of e_1214. e_1153 is a consequence of e_1197. e_828 is a consequence of e_1197. e_639 is a consequence of e_1214. e_1126 is a consequence of e_1197. e_1236 is a consequence of e_1197. e_1196 is a consequence of e_1197. Substitution of q30 found in e_1251 : q30=0 Step 3178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0009*q28 + g0018*q3 e_1168 is a consequence of e_1214. e_1232 is a consequence of e_1214. e_1228 is a consequence of e_1214. e_1056 is a consequence of e_1214. e_1226 is a consequence of e_1214. e_1186 is a consequence of e_1214. e_1204 is a consequence of e_1214. e_1243 is a consequence of e_1214. e_594 is a consequence of e_1214. e_751 is a consequence of e_1214. e_1117 is a consequence of e_1214. e_1017 is a consequence of e_1128. e_1208 is a consequence of e_1128. e_1143 is a consequence of e_1128. e_940 is a consequence of e_1128. e_1280 is a consequence of e_1128. e_1266 is a consequence of e_1128. e_990 is a consequence of e_1128. e_1053 is a consequence of e_1214. e_1025 is a consequence of e_1128. e_1132 is a consequence of e_1128. e_1182 is a consequence of e_1214. e_1206 is a consequence of e_1214. e_1218 is a consequence of e_1214. e_1261 is a consequence of e_1214. Substitution of q27 found in e_1197 : q27=0 Step 3179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: q3 The list of inequalities got extended by: p4 q28 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q28,q26,q21,q20, q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p4,p3,p2,p14 New ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q28,q26,q21,q20, q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p3,p2,p4,p14 The lexicographical ordering of unknowns is changed because q28 has to be non-zero, giving q28 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q28,q26,q21,q20, q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p3,p2,p4,p14 New ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q26,q21,q20,q19, q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q28,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p3,p2,p4,p14 The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q26,q21,q20,q19, q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q28,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p3,p2,p4,p14 New ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q26,q21,q20,q19, q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q28,q3,p21,p18,p17,p16,p15,p13,p12, p8,p7,p6,p5,p2,p3,p4,p14 Substitution of q28 found in e_1214 : q28=0 leads to a contradiction in : 0=p14*q3 - p4*q28 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p14,p13,p12,p11,p8,p7,p6,p5, p4,p3,p2 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3 ,p2,p11 New level : 1.1.1.1.1.2. CRACK is now called with the new equation e_1121 : 0=q19 e_18,e_19 are consequences of e_1121 Step 3180: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms Substitution of q19 found in e_1121 : q19=0 Step 3181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q5 by an expression in q4 found in e_1025 : q5=q4 Step 3182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 552 4-Oct-2003 18:46:22, 70 ms (0%), 1397010 occupied, 23602939 free The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q29 by an expression in q28, q27, q1 found in e_981 : q29= - q1 + q27 + q28 Step 3183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q46 by an expression in q43, p21, p11 found in e_993 : - 5*p21*q43 q46=-------------- p11 Step 3184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q36 by an expression in q4, p2, p11 found in e_1016 : 3*p2*q4 q36=--------- p11 Step 3185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q31 by an expression in q28, p21, p11 found in e_1142 : - 10*p21*q28 q31=--------------- p11 Step 3186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q26 by an expression in q24, p21, p12, p11 found in e_761 : 10 factors in 3 terms Step 3187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 553 4-Oct-2003 18:46:25, 80 ms (0%), 1478474 occupied, 23521463 free The list of inequalities got extended by: An expression with 23 terms e_1320,e_1321 are consequences of e_1322 Substitution of q41 by an expression in q28, p17, p6, p11 found in e_1007 : - p17*q28 + p6*q28 q41=--------------------- p11 Step 3188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 24 terms Substitution of q39 by an expression in q25, q4, p14, p8, p11 found in e_1033 : 7 factors in 3 terms Step 3189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q33 by an expression in q30, q28, q27, p21, p11 found in e_1077 : 14 factors in 4 terms Step 3190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms *** Garbage collection starting *** GC 554 4-Oct-2003 18:46:29, 80 ms (0%), 1530418 occupied, 23469506 free Substitution of q7 by an expression in q24, q22, p13, p2, p11 found in e_555 : 12 factors in 5 terms Step 3191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1319 is a consequence of e_1274. Step 3202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 555 4-Oct-2003 18:46:32, 80 ms (0%), 1598934 occupied, 23400941 free *** Garbage collection starting *** GC 556 4-Oct-2003 18:46:34, 120 ms (0%), 2049398 occupied, 22950309 free *** Garbage collection starting *** GC 557 4-Oct-2003 18:46:37, 130 ms (0%), 2328709 occupied, 22669728 free *** Garbage collection starting *** GC 558 4-Oct-2003 18:46:40, 100 ms (0%), 1795217 occupied, 23204560 free *** Garbage collection starting *** GC 559 4-Oct-2003 18:46:43, 120 ms (0%), 2158095 occupied, 22839788 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1268 we get the alternative equations : 0=p18 0=q21 New level : 1.1.1.1.1.2.1. CRACK is now called with the new equation e_1470 : 0=p18 e_55 is a consequence of e_1470 Step 3203: Hot list of urgent steps : The list of inequalities got extended by: g0039*p16 + g0040*p14 e_1323 is a consequence of e_1054. Substitution of p18 found in e_1470 : p18=0 Step 3204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 560 4-Oct-2003 18:46:46, 120 ms (0%), 1592384 occupied, 23407534 free --- Algebraic length reduction of equations : shortening by 1 term Step 3205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 561 4-Oct-2003 18:46:50, 90 ms (0%), 1591702 occupied, 23408212 free shortening by 3 terms Step 3275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 562 4-Oct-2003 18:46:54, 90 ms (0%), 1594714 occupied, 23405200 free shortening by 1 term Step 3340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms Substitution of q21 by an expression in q28, q4, q1, p17, p7, p6, p11 found in e_1608 : 16 factors in 5 terms Step 3346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 563 4-Oct-2003 18:46:59, 90 ms (0%), 1593960 occupied, 23405959 free shortening by 1 term Step 3359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 564 4-Oct-2003 18:47:03, 140 ms (0%), 2288231 occupied, 22709498 free *** Garbage collection starting *** GC 565 4-Oct-2003 18:47:06, 120 ms (0%), 2089749 occupied, 22909912 free Eliminate q30 from e_1377 and e_1267. e_1267: 0=(q27 - q30)*p8 is replaced by e_1638: 0=p8*q27 e_1638 is a consequence of e_1265. Step 3363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1266 and e_1007. e_1007: 0=(q30 + q4)*p14 is replaced by e_1639: 0=p14*q30 Step 3364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 566 4-Oct-2003 18:47:10, 100 ms (0%), 1608633 occupied, 23391280 free Eliminate q4 from e_1266 and e_1320. e_1320: 0=(q28 - q4)*p14 is replaced by e_1490: 0=p14*q28 Step 3369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 567 4-Oct-2003 18:47:13, 110 ms (0%), 1898698 occupied, 23101032 free Eliminate q28 from e_1490 and e_1142. e_1142: 0=(q28 - 2*q4)*p14 is replaced by e_1656: 0=p14*q4 e_1656 is a consequence of e_1266. Step 3384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 568 4-Oct-2003 18:47:17, 100 ms (0%), 1609032 occupied, 23390874 free Eliminate q4 from e_1266 and e_1272. e_1272: 0=(q27 + 2*q4)*p14 is replaced by e_1580: 0=p14*q27 Step 3385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 569 4-Oct-2003 18:47:20, 120 ms (0%), 2066684 occupied, 22932947 free Eliminate q4 from e_1054 and e_1330. e_1330: 0=(q1 + 2*q4)*p8 is replaced by e_1614: 0=p8*q1 e_1610 is a consequence of e_1614 Step 3395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 570 4-Oct-2003 18:47:23, 100 ms (0%), 1835898 occupied, 23163848 free *** Garbage collection starting *** GC 571 4-Oct-2003 18:47:27, 150 ms (0%), 2384141 occupied, 22614125 free *** Garbage collection starting *** GC 572 4-Oct-2003 18:47:30, 130 ms (0%), 2258310 occupied, 22739686 free *** Garbage collection starting *** GC 573 4-Oct-2003 18:47:33, 140 ms (0%), 2106233 occupied, 22893391 free *** Garbage collection starting *** GC 574 4-Oct-2003 18:47:37, 110 ms (0%), 1933145 occupied, 23066562 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1490 we get the alternative equations : 0=q28 0=p14 New level : 1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1669 : 0=q28 e_1002,e_1322,e_1400,e_1276,e_1361 are consequences of e_1669 Step 3396: Hot list of urgent steps : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 31 terms e_1629 is a consequence of e_1442. Substitution of q28 found in e_1669 : q28=0 Step 3397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 575 4-Oct-2003 18:47:40, 100 ms (0%), 1659384 occupied, 23340520 free The list of inequalities got extended by: An expression with 34 terms Substitution of q13 by an expression in q4, q1, p4, p2, p11 found in e_1088 : 13 factors in 5 terms Step 3398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q16 by an expression in q27, q24, q2, q1, p8, p3, p11 found in e_1577 : 13 factors in 5 terms Step 3399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 22 terms *** Garbage collection starting *** GC 576 4-Oct-2003 18:47:44, 140 ms (0%), 1690632 occupied, 23309275 free Substitution of q42 by an expression in q25, q22, q1, p16, p14, p12, p2, p11 found in e_1521 : 13 factors in 5 terms Step 3400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1840 is a consequence of e_1810. Step 3436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 577 4-Oct-2003 18:47:48, 100 ms (0%), 1695262 occupied, 23304643 free shortening by 1 term Step 3513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 40 terms Substitution of q8 by an expression in q24, q23, q1, p14, p12, p4, p11 found in e_1691 : 12 factors in 5 terms Step 3558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 578 4-Oct-2003 18:47:52, 100 ms (0%), 1695234 occupied, 23304672 free shortening by 1 term Step 3579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 579 4-Oct-2003 18:47:57, 100 ms (0%), 1694950 occupied, 23304959 free shortening by 3 terms Step 3598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 580 4-Oct-2003 18:48:01, 100 ms (0%), 1695328 occupied, 23304581 free shortening by 3 terms Step 3605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q8 by an expression in q24, q23, q1, p14, p12, p4, p11 found in e_1691 : 12 factors in 5 terms Step 3643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 581 4-Oct-2003 18:48:06, 100 ms (0%), 1693614 occupied, 23306294 free shortening by 3 terms e_1739 is a consequence of e_1634. Step 3644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 582 4-Oct-2003 18:48:10, 140 ms (0%), 2225597 occupied, 22773933 free Eliminate q23 from e_1545 and e_594. e_594: 0=(2*q23 + q25)*p2 is replaced by e_1740: 0=p2*q25 Step 3646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms *** Garbage collection starting *** GC 583 4-Oct-2003 18:48:14, 100 ms (0%), 1694008 occupied, 23305900 free Step 3671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 584 4-Oct-2003 18:48:18, 120 ms (0%), 2069357 occupied, 22930302 free Eliminate q4 from e_1429 and e_1270. e_1270: 0=(q27 + q4)*p16 is replaced by e_1759: 0=p16*q27 Step 3707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 585 4-Oct-2003 18:48:22, 100 ms (0%), 1690920 occupied, 23308989 free shortening by 1 term Step 3716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q1 from e_1614 and e_1346. e_1346: 0=(q1 - q27)*p8 is replaced by e_1820: 0=p8*q27 e_1820 is a consequence of e_1265. Step 3719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 586 4-Oct-2003 18:48:26, 130 ms (0%), 2218054 occupied, 22781506 free Eliminate q4 from e_993 and e_1426. e_1426: 0=(q30 - 3*q4)*p6 is replaced by e_1615: 0=p6*q30 Step 3720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 587 4-Oct-2003 18:48:29, 110 ms (0%), 1832777 occupied, 23166985 free *** Garbage collection starting *** GC 588 4-Oct-2003 18:48:33, 100 ms (0%), 1800365 occupied, 23199429 free *** Garbage collection starting *** GC 589 4-Oct-2003 18:48:36, 100 ms (0%), 1770439 occupied, 23229370 free *** Garbage collection starting *** GC 590 4-Oct-2003 18:48:40, 100 ms (0%), 1743164 occupied, 23256698 free *** Garbage collection starting *** GC 591 4-Oct-2003 18:48:44, 110 ms (0%), 1717796 occupied, 23282087 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1580 we get the alternative equations : 0=q27 0=p14 New level : 1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_1867 : 0=q27 e_1140,e_1446,e_1636,e_1265,e_1759 are consequences of e_1867 Step 3729: Hot list of urgent steps : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 20 terms e_1634,e_1809 are consequences of e_1717 e_1840 is a consequence of e_1442. Substitution of q27 found in e_1867 : q27=0 Step 3730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 592 4-Oct-2003 18:48:47, 110 ms (0%), 1743861 occupied, 23256039 free The list of inequalities got extended by: An expression with 23 terms Substitution of q37 by an expression in q45, q44, q30, p17, p13, p7, p6, p11 found in e_1846 : 14 factors in 5 terms Step 3731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q38 by an expression in q45, q30, p17, p13, p7, p6, p11 found in e_1617 : 13 factors in 5 terms Step 3732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q40 by an expression in q45, q44, q30, p17, p15, p7, p6, p11 found in e_1343 : 14 factors in 5 terms Step 3733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 593 4-Oct-2003 18:48:51, 100 ms (0%), 1776157 occupied, 23223739 free The list of inequalities got extended by: An expression with 32 terms Substitution of q35 by an expression in q45, q43, q30, p21, p15, p5, p11 found in e_1799 : 13 factors in 5 terms Step 3734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms Substitution of q32 by an expression in q45, q44, q30, p21, p15, p5, p11 found in e_1939 : 12 factors in 5 terms Step 3748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 594 4-Oct-2003 18:48:55, 110 ms (0%), 1787701 occupied, 23212192 free shortening by 2 terms Step 3763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q32 by an expression in q45, q44, q30, p21, p15, p5, p11 found in e_1939 : 12 factors in 5 terms Step 3769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 38 terms Substitution of q34 by an expression in q45, q30, p21, p15, p5, p11 found in e_2039 : 12 factors in 5 terms Step 3780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 595 4-Oct-2003 18:48:59, 160 ms (0%), 1785627 occupied, 23214265 free shortening by 3 terms Step 3806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q34 by an expression in q45, q30, p21, p15, p5, p11 found in e_2039 : 12 factors in 5 terms Step 3809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 596 4-Oct-2003 18:49:04, 120 ms (0%), 1782699 occupied, 23217197 free shortening by 2 terms Step 3836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 597 4-Oct-2003 18:49:09, 110 ms (0%), 1783491 occupied, 23216401 free shortening by 2 terms Step 3857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q38 by an expression in q45, q30, p17, p13, p7, p6, p11 found in e_1617 : 13 factors in 5 terms Step 3865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q40 by an expression in q45, q44, q30, p17, p15, p7, p6, p11 found in e_1343 : 14 factors in 5 terms Step 3867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q35 by an expression in q45, q43, q30, p21, p15, p5, p11 found in e_1799 : 13 factors in 5 terms Step 3870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 598 4-Oct-2003 18:49:14, 110 ms (0%), 1782119 occupied, 23217775 free shortening by 1 term Step 3877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1867 is a consequence of e_2043. Step 3888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 599 4-Oct-2003 18:49:19, 110 ms (0%), 1781547 occupied, 23218346 free shortening by 2 terms Step 3893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 600 4-Oct-2003 18:49:24, 120 ms (0%), 1781043 occupied, 23218849 free shortening by 2 terms Step 3905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 601 4-Oct-2003 18:49:29, 110 ms (0%), 1780787 occupied, 23219102 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 602 4-Oct-2003 18:49:34, 200 ms (0%), 2450695 occupied, 22546588 free *** Garbage collection starting *** GC 603 4-Oct-2003 18:49:37, 220 ms (0%), 2760186 occupied, 22237936 free *** Garbage collection starting *** GC 604 4-Oct-2003 18:49:40, 140 ms (0%), 2276867 occupied, 22722617 free *** Garbage collection starting *** GC 605 4-Oct-2003 18:49:43, 250 ms (0%), 2628132 occupied, 22369761 free *** Garbage collection starting *** GC 606 4-Oct-2003 18:49:46, 180 ms (0%), 2089950 occupied, 22909689 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_649 we get the alternative equations : 0=p7 0=q30 New level : 1.1.1.1.1.2.1.1.1.1. CRACK is now called with the new equation e_2059 : 0=p7 e_1148,e_1830 are consequences of e_2059 Step 3916: Hot list of urgent steps : The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 38 terms e_1589 is a consequence of e_1976 e_1963 is a consequence of e_2041. e_1948 is a consequence of e_2041. e_1970 is a consequence of e_1977. e_1880 is a consequence of e_1717. e_2037 is a consequence of e_2041.e_1271 is a consequence of e_1972 e_2061 is a consequence of e_1717. e_2069 is a consequence of e_2063. Substitution of p7 found in e_2059 : p7=0 Step 3917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 607 4-Oct-2003 18:49:50, 120 ms (0%), 1839082 occupied, 23160792 free Substitution of q38 by an expression in q45, q30, p17, p13, p6, p11 found in e_1929 : 11 factors in 4 terms Step 3918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q37 by an expression in q45, q44, q30, p17, p13, p6, p11 found in e_1926 : 11 factors in 4 terms Step 3919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Step 3920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Step 3921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2146 is a consequence of e_1976. Step 3949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term *** Garbage collection starting *** GC 608 4-Oct-2003 18:49:54, 110 ms (0%), 1836410 occupied, 23163467 free Step 4028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 4030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 41 terms Substitution of q17 by an expression in q23, q4, q1, p6, p2, p11 found in e_2088 : 12 factors in 5 terms Step 4035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 609 4-Oct-2003 18:49:58, 110 ms (0%), 1835508 occupied, 23164369 free shortening by 1 term Step 4100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2084 is a consequence of e_1905. Step 4129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1813 is a consequence of e_2090. Step 4141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 48 terms Substitution of q4 by an expression in q6, q2, p14, p2, p11 found in e_2207 : 10 factors in 3 terms Step 4143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 610 4-Oct-2003 18:50:02, 110 ms (0%), 1845698 occupied, 23154181 free --- Algebraic length reduction of equations : shortening by 1 term Step 4144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2104 is a consequence of e_1905. Step 4146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2151 is a consequence of e_1905. Step 4155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2189 is a consequence of e_1905. Step 4169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2069 is a consequence of e_593. Step 4184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2145 is a consequence of e_1977. Step 4189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1709,e_1184,e_1922,e_2159 are consequences of e_2198 Step 4190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 611 4-Oct-2003 18:50:06, 120 ms (0%), 1848100 occupied, 23151784 free shortening by 1 term Step 4230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1431 is a consequence of e_1905. Step 4232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1961 is a consequence of e_1905. Step 4236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2187 is a consequence of e_1905. Step 4237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2159 is a consequence of e_1905. Step 4240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1922 is a consequence of e_1905. Step 4241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 612 4-Oct-2003 18:50:11, 110 ms (0%), 1836004 occupied, 23163888 free shortening by 1 term e_2145 is a consequence of e_1614. Step 4322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2159 is a consequence of e_1905. Step 4324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2107 is a consequence of e_2001. Step 4347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2155 is a consequence of e_1062 Step 4362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2150 is a consequence of e_2153. Step 4363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2128 is a consequence of e_2191. e_2128 is a consequence of e_1717. Step 4364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2179 is a consequence of e_2037. Step 4376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2095 is a consequence of e_1905. Step 4377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 613 4-Oct-2003 18:50:16, 110 ms (0%), 1830920 occupied, 23168972 free shortening by 1 term Step 4390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 614 4-Oct-2003 18:50:20, 110 ms (0%), 1828802 occupied, 23171091 free shortening by 2 terms Step 4462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2080 is a consequence of e_2196. Step 4466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1665 is a consequence of e_2196. Step 4467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 49 terms Substitution of q18 by an expression in q3, q1, p16, p11 found in e_2145 : 8 factors in 3 terms Step 4469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 615 4-Oct-2003 18:50:25, 110 ms (0%), 1828054 occupied, 23171835 free shortening by 1 term Step 4482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 616 4-Oct-2003 18:50:30, 110 ms (0%), 1828290 occupied, 23171600 free shortening by 1 term Step 4492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2212 is a consequence of e_1271. Step 4501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 63 terms e_1907 is a consequence of e_2153. e_2191 is a consequence of e_2096. e_2109 is a consequence of e_1972. e_2089 is a consequence of e_1148. e_2194 is a consequence of e_2198. e_2006 is a consequence of e_1977. e_2112 is a consequence of e_593. e_2113 is a consequence of e_2153. e_2053 is a consequence of e_2153. e_2079 is a consequence of e_2096. e_1880 is a consequence of e_1933. *** Garbage collection starting *** GC 617 4-Oct-2003 18:50:34, 110 ms (0%), 1842066 occupied, 23157815 free Substitution of q1 by an expression in q2, p5, p3, p11 found in e_1589 : 9 factors in 4 terms Step 4505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2145 is a consequence of e_2096. Step 4506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2138 is a consequence of e_2096. Step 4507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 618 4-Oct-2003 18:50:39, 110 ms (0%), 1842076 occupied, 23157811 free shortening by 2 terms Step 4510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2052 is a consequence of e_2143. Step 4513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2092 is a consequence of e_2211. Step 4514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 619 4-Oct-2003 18:50:44, 110 ms (0%), 1845426 occupied, 23154461 free shortening by 2 terms Step 4532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1907 is a consequence of e_1933. Step 4548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 4568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 620 4-Oct-2003 18:50:49, 110 ms (0%), 1835710 occupied, 23164176 free shortening by 2 terms Step 4573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2138 is a consequence of e_2156 Step 4577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2070 is a consequence of e_1977. Step 4579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1877 is a consequence of e_593. Step 4612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2202 is a consequence of e_2107. Step 4614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 621 4-Oct-2003 18:50:53, 110 ms (0%), 1831282 occupied, 23168605 free shortening by 3 terms Step 4625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 622 4-Oct-2003 18:50:58, 120 ms (0%), 1829378 occupied, 23170512 free *** Garbage collection starting *** GC 623 4-Oct-2003 18:51:03, 110 ms (0%), 1829730 occupied, 23170160 free *** Garbage collection starting *** GC 624 4-Oct-2003 18:51:08, 110 ms (0%), 1830060 occupied, 23169830 free shortening by 1 term Step 4644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 625 4-Oct-2003 18:51:13, 110 ms (0%), 1830246 occupied, 23169642 free shortening by 1 term Step 4645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 626 4-Oct-2003 18:51:18, 130 ms (0%), 2068544 occupied, 22931104 free *** Garbage collection starting *** GC 627 4-Oct-2003 18:51:21, 150 ms (0%), 2381823 occupied, 22617534 free Eliminate q43 from e_2137 and e_2123. e_2123: 0=(q43 - q45)*p8 is replaced by e_2218: 0=p8*q45 e_2218 is a consequence of e_1062. Step 4652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 628 4-Oct-2003 18:51:25, 120 ms (0%), 1990922 occupied, 23008764 free *** Garbage collection starting *** GC 629 4-Oct-2003 18:51:29, 150 ms (0%), 2340370 occupied, 22659063 free *** Garbage collection starting *** GC 630 4-Oct-2003 18:51:32, 140 ms (0%), 1986100 occupied, 23013609 free *** Garbage collection starting *** GC 631 4-Oct-2003 18:51:36, 140 ms (0%), 2338533 occupied, 22660871 free *** Garbage collection starting *** GC 632 4-Oct-2003 18:51:39, 120 ms (0%), 1983581 occupied, 23016103 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1785 we get the alternative equations : 0=q30 0=p17 New level : 1.1.1.1.1.2.1.1.1.1.1. CRACK is now called with the new equation e_2263 : 0=q30 e_1856,e_2197,e_617,e_1377,e_1639,e_1609,e_1615,e_1490 are consequences of e_2263 Step 4653: Hot list of urgent steps : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 33 terms e_1830,e_1976,e_2063,e_2196,e_2107 are consequences of e_2188 e_1882 is a consequence of e_1742.e_2045 is a consequence of e_1917 e_2110 is a consequence of e_2188. e_1748 is a consequence of e_2216. e_2052 is a consequence of e_2150. e_2069 is a consequence of e_1955. Substitution of q30 found in e_2263 : q30=0 Step 4654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 633 4-Oct-2003 18:51:43, 120 ms (0%), 1863880 occupied, 23136003 free --- Algebraic length reduction of equations : shortening by 2 terms Step 4655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1961 is a consequence of e_2251 Step 4678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2258 is a consequence of e_2150. Step 4681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2259 is a consequence of e_2136. Step 4682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2106,e_1609,e_2292,e_2253,e_1785 are consequences of e_2277 Step 4704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2279 is a consequence of e_2277. Step 4705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2154,e_2049 are consequences of e_2280 Step 4706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 634 4-Oct-2003 18:51:47, 160 ms (0%), 1860054 occupied, 23139833 free *** Garbage collection starting *** GC 635 4-Oct-2003 18:51:52, 160 ms (0%), 1860176 occupied, 23139710 free shortening by 1 term Step 4710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1742 and e_1911. e_1911: 0=(q25 - q44)*p6 is replaced by e_2294: 0=p6*q44 Step 4712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1707 is a consequence of e_1955. Step 4715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 636 4-Oct-2003 18:51:56, 120 ms (0%), 1860300 occupied, 23139585 free --- Algebraic length reduction of equations : shortening by 1 term e_2066 is a consequence of e_2075. Step 4764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2048 is a consequence of e_1955. Step 4765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2204 is a consequence of e_1955. Step 4769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2129 is a consequence of e_1955. Step 4775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2091 is a consequence of e_2294. Step 4776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1490 is a consequence of e_2294. Step 4777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2202 is a consequence of e_2294. Step 4778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1377 is a consequence of e_2294. Step 4779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1639 is a consequence of e_2294. Step 4780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1863 is a consequence of e_2294. Step 4781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1402 is a consequence of e_2237. Step 4783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2196 is a consequence of e_2294. Step 4784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2270 is a consequence of e_2294. Step 4812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2248 is a consequence of e_2294. Step 4813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1994 is a consequence of e_2075. Step 4820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2232 is a consequence of e_2294. Step 4821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1895 is a consequence of e_2294. Step 4822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1927 is a consequence of e_2294. Step 4826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2258 is a consequence of e_2075. Step 4828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2284 is a consequence of e_2075. Step 4829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2261 is a consequence of e_2294. Step 4831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2136 is a consequence of e_2294. Step 4832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2202 is a consequence of e_2075. Step 4835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2101 is a consequence of e_2075. Step 4836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1377 is a consequence of e_2280. Step 4837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2259 is a consequence of e_2280. Step 4838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1639 is a consequence of e_2280. Step 4839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1996 is a consequence of e_2294. Step 4841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2252 is a consequence of e_1905. Step 4843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 637 4-Oct-2003 18:52:00, 130 ms (0%), 2082154 occupied, 22917499 free Eliminate q45 from e_2224 and e_2141. e_2141: 0=(q44 - q45)*p6 is replaced by e_2288: 0=p6*q44 e_2288 is a consequence of e_2294. Step 4856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 638 4-Oct-2003 18:52:04, 120 ms (0%), 1851017 occupied, 23148863 free Eliminate q45 from e_2224 and e_2168. e_2168: 0=(q44 + q45)*p6 is replaced by e_2286: 0=p6*q44 e_2286 is a consequence of e_2294. Step 4857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. *** Garbage collection starting *** GC 639 4-Oct-2003 18:52:07, 130 ms (0%), 2123163 occupied, 22876473 free *** Garbage collection starting *** GC 640 4-Oct-2003 18:52:11, 120 ms (0%), 1997422 occupied, 23002282 free *** Garbage collection starting *** GC 641 4-Oct-2003 18:52:14, 130 ms (0%), 2231127 occupied, 22768406 free *** Garbage collection starting *** GC 642 4-Oct-2003 18:52:18, 130 ms (0%), 2122861 occupied, 22876775 free *** Garbage collection starting *** GC 643 4-Oct-2003 18:52:22, 120 ms (0%), 1998782 occupied, 23000929 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2198 we get the alternative equations : 0=q2 0=p2 New level : 1.1.1.1.1.2.1.1.1.1.1.1. CRACK is now called with the new equation e_2336 : 0=q2 e_2152,e_1958,e_1725,e_1916,e_1807,e_2280,e_2040,e_1933,e_1025,e_593,e_1977, e_1148,e_1972,e_2096,e_2153,e_2156 are consequences of e_2336 Step 4858: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 25 terms e_2117,e_2128,e_1883,e_2113,e_2201,e_1955 are consequences of e_2246 e_2036,e_2075 are consequences of e_2106 e_2270 is a consequence of e_2106. e_2255 is a consequence of e_2246. e_2255 is a consequence of e_757. e_2248 is a consequence of e_2246. e_2239 is a consequence of e_2246. e_2249 is a consequence of e_2246. e_2296 is a consequence of e_2246. e_2210 is a consequence of e_2246. e_2150 is a consequence of e_2246. e_2289 is a consequence of e_2246. Substitution of q2 found in e_2336 : q2=0 Step 4859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2300 is a consequence of e_2246. Step 4870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms Substitution of q14 by an expression in q44, q25, q24, p16, p4, p2, p11 found in e_2317 : 17 factors in 5 terms Step 4878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2333 is a consequence of e_2312. Step 4880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 644 4-Oct-2003 18:52:25, 120 ms (0%), 1868542 occupied, 23131339 free --- Algebraic length reduction of equations : shortening by 2 terms Step 4889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2301 is a consequence of e_1996 Step 4912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_1830 is a consequence of e_1278 Step 4945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2312 is a consequence of e_2225 Step 4946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1817 is a consequence of e_2310 Step 4947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2316 is a consequence of e_1278. Step 4950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2051 is a consequence of e_2246. Step 4951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2331 is a consequence of e_1278. Step 4958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2332 is a consequence of e_2246. Step 4959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1377 is a consequence of e_1863. Step 4972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q10 by an expression in q45, q44, q23, p5, p11 found in e_2320 : 14 factors in 4 terms Step 4976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1882 is a consequence of e_2192. Step 4997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 645 4-Oct-2003 18:52:29, 120 ms (0%), 1859150 occupied, 23140732 free shortening by 1 term Step 5000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2107 is a consequence of e_2251. Step 5003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2127 is a consequence of e_1905. Step 5004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2141 is a consequence of e_1568. Step 5018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1989 is a consequence of e_1863. Step 5020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 646 4-Oct-2003 18:52:34, 130 ms (0%), 2104038 occupied, 22895617 free *** Garbage collection starting *** GC 647 4-Oct-2003 18:52:38, 120 ms (0%), 1914067 occupied, 23085766 free *** Garbage collection starting *** GC 648 4-Oct-2003 18:52:42, 130 ms (0%), 2008185 occupied, 22991514 free *** Garbage collection starting *** GC 649 4-Oct-2003 18:52:45, 130 ms (0%), 2072035 occupied, 22927626 free *** Garbage collection starting *** GC 650 4-Oct-2003 18:52:49, 110 ms (0%), 1870604 occupied, 23129266 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1729 we get the alternative equations : 0=p15 0=q43 New level : 1.1.1.1.1.2.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2333 : 0=p15 Step 5025: Hot list of urgent steps : The list of inequalities got extended by: An expression with 22 terms e_2215 is a consequence of e_2284 e_2384 is a consequence of e_1377. Substitution of p15 found in e_2333 : p15=0 Step 5026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q44 by an expression in q43, q25, q23, p5, p11 found in e_2345 : 10 factors in 5 terms Step 5027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 45 terms *** Garbage collection starting *** GC 651 4-Oct-2003 18:52:52, 110 ms (0%), 1901333 occupied, 23098549 free Substitution of q15 by an expression in q24, q22, q3, p17, p5, p11 found in e_2348 : 12 factors in 5 terms Step 5028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2074 is a consequence of e_2375. Step 5036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2244 is a consequence of e_2343. Step 5048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2335 is a consequence of e_2192. Step 5083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2265 is a consequence of e_1596. Step 5086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2136 is a consequence of e_2161. Step 5087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2262 is a consequence of e_1808. Step 5088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1729 is a consequence of e_2122. Step 5092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2422 is a consequence of e_2215. Step 5095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 652 4-Oct-2003 18:52:57, 110 ms (0%), 1899303 occupied, 23100580 free --- Length reducing decoupling steps : Eliminate q23 from e_2037 and e_2126. e_2126: 0=(q23 + q25)*p8 is replaced by e_2285: 0=p8*q25 e_2285 is a consequence of e_1568. Step 5096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1740 and e_1830. e_1830: 0=(q23 + q25)*p2 is replaced by e_1807: 0=p2*q23 e_1807 is a consequence of e_1545. Step 5097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_1785 and e_2336. e_1785: 0=(q23 + q25)*p4 is replaced by e_2409: 0=p4*q23 Step 5098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 51 terms Substitution of q23 by an expression in q43, q25, p3, p11 found in e_2391 : 10 factors in 3 terms Step 5101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 653 4-Oct-2003 18:53:00, 110 ms (0%), 1908693 occupied, 23091184 free shortening by 1 term Step 5120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2381 is a consequence of e_1740. Step 5137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2391 is a consequence of e_1349. Step 5140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1813 is a consequence of e_1568. Step 5141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2249 is a consequence of e_1863. Step 5147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 654 4-Oct-2003 18:53:05, 130 ms (0%), 2140209 occupied, 22859396 free *** Garbage collection starting *** GC 655 4-Oct-2003 18:53:09, 130 ms (0%), 2050838 occupied, 22948847 free *** Garbage collection starting *** GC 656 4-Oct-2003 18:53:12, 120 ms (0%), 1953348 occupied, 23046494 free Eliminate q6 from e_1995 and e_1069. e_1069: 3 terms, 6 factors, with derivatives of functions of all variables: (q6,q3,p17,p6) is replaced by e_2352: 0=q3*(7*p17 + p6) Step 5153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 657 4-Oct-2003 18:53:16, 130 ms (0%), 2086318 occupied, 22913336 free *** Garbage collection starting *** GC 658 4-Oct-2003 18:53:20, 120 ms (0%), 1986891 occupied, 23012866 free *** Garbage collection starting *** GC 659 4-Oct-2003 18:53:24, 140 ms (0%), 2160734 occupied, 22838883 free *** Garbage collection starting *** GC 660 4-Oct-2003 18:53:28, 120 ms (0%), 2077780 occupied, 22921890 free *** Garbage collection starting *** GC 661 4-Oct-2003 18:53:32, 120 ms (0%), 1986893 occupied, 23012864 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2284 we get the alternative equations : 0=q43 0=p4 New level : 1.1.1.1.1.2.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2453 : 0=q43 e_2297,e_995,e_2343,e_1615,e_2421,e_1021,e_2090,e_2306,e_1436,e_2041,e_2137, e_1349,e_2310 are consequences of e_2453 Step 5155: Hot list of urgent steps : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 41 terms e_2405,e_2402,e_2381,e_2321,e_2316,e_2401 are consequences of e_2308 e_2351 is a consequence of e_2305. e_2391 is a consequence of e_2308. e_1813 is a consequence of e_2308. e_2216 is a consequence of e_2308. e_2377 is a consequence of e_2308. e_2360 is a consequence of e_2382. e_2360 is a consequence of e_2305. e_1691 is a consequence of e_2382. e_1691 is a consequence of e_2305. e_2359 is a consequence of e_2308. e_2318 is a consequence of e_2308. e_2215 is a consequence of e_2308. e_2345 is a consequence of e_2308. e_2368 is a consequence of e_2308. e_2228 is a consequence of e_2308. e_1639 is a consequence of e_2305. e_2150 is a consequence of e_2308. e_2018 is a consequence of e_2308. Substitution of q43 found in e_2453 : q43=0 Step 5156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2095,e_1785 are consequences of e_2431 Step 5157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2433 is a consequence of e_2153. Step 5158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2443 is a consequence of e_2382. Step 5166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2444 is a consequence of e_2382. Step 5167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2445 is a consequence of e_2382. e_2445 is a consequence of e_2305. Step 5168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2107 is a consequence of e_2450 Step 5171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2452 is a consequence of e_2382. e_2452 is a consequence of e_2305. Step 5172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2284 is a consequence of e_2448. Step 5173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2345 is a consequence of e_2305. Step 5187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 662 4-Oct-2003 18:53:35, 120 ms (0%), 1919948 occupied, 23079931 free shortening by 1 term Step 5195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2243 is a consequence of e_2424. Step 5214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2335 is a consequence of e_2424. Step 5215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2322 is a consequence of e_1963. Step 5218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 41 terms e_2153 is a consequence of e_2431. e_2382 is a consequence of e_2439. e_2392 is a consequence of e_2297. e_1349 is a consequence of e_1740. e_1903 is a consequence of e_1742. e_2041 is a consequence of e_2343. e_1436 is a consequence of e_2421. e_2194 is a consequence of e_1568. e_2090 is a consequence of e_2308. e_2305 is a consequence of e_2424. e_2428 is a consequence of e_2424. e_2433 is a consequence of e_2424. Substitution of q45 by an expression in q25, p5, p11 found in e_2284 : 7 factors in 3 terms Step 5224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2462 is a consequence of e_1742. Step 5225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2401 is a consequence of e_1742. Step 5226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2144 is a consequence of e_2439. Step 5227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2321 is a consequence of e_2448. Step 5228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2219 is a consequence of e_2424. Step 5232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2377 is a consequence of e_2424. Step 5233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2215 is a consequence of e_2424. Step 5237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2147 is a consequence of e_2424. Step 5245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 663 4-Oct-2003 18:53:39, 120 ms (0%), 2031544 occupied, 22968169 free *** Garbage collection starting *** GC 664 4-Oct-2003 18:53:42, 120 ms (0%), 1917578 occupied, 23082294 free *** Garbage collection starting *** GC 665 4-Oct-2003 18:53:46, 120 ms (0%), 1972719 occupied, 23027099 free *** Garbage collection starting *** GC 666 4-Oct-2003 18:53:50, 130 ms (0%), 2015438 occupied, 22984290 free *** Garbage collection starting *** GC 667 4-Oct-2003 18:53:53, 120 ms (0%), 1917153 occupied, 23082717 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2246 we get the alternative equations : 0=q22 0=p16 New level : 1.1.1.1.1.2.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2305 : 0=q22 e_757,e_990,e_1808,e_2001 are consequences of e_2305 Step 5251: Hot list of urgent steps : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 37 terms Substitution of q22 found in e_2305 : q22=0 Step 5252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 39 terms Substitution of q12 by an expression in q24, q6, p17, p6, p2, p11 found in e_2464 : 9 factors in 4 terms Step 5253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 42 terms Substitution of q11 by an expression in q24, q9, p13, p5, p11 found in e_2469 : 11 factors in 5 terms Step 5254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 47 terms Substitution of q9 by an expression in q24, q3, p21, p13, p4, p2, p11 found in e_2471 : 12 factors in 5 terms Step 5255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 668 4-Oct-2003 18:53:56, 120 ms (0%), 1933874 occupied, 23066008 free --- Algebraic length reduction of equations : shortening by 1 term Step 5256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2440 is a consequence of e_1725. Step 5257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2136 is a consequence of e_1725. Step 5258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1725 is a consequence of e_2442 Step 5259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2443 is a consequence of e_2428. Step 5260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2090 is a consequence of e_2041. Step 5281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2144 is a consequence of e_1905. Step 5291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2137 is a consequence of e_2160. Step 5292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms e_2321 is a consequence of e_2160. Step 5293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2449 is a consequence of e_1596. Step 5296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1813 is a consequence of e_1596. Step 5297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2436 is a consequence of e_1596. Step 5299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 669 4-Oct-2003 18:54:00, 120 ms (0%), 2026598 occupied, 22973148 free Eliminate q6 from e_2455 and e_995. e_995: 3 terms, 6 factors, with derivatives of functions of all variables: (q6,q3,p21,p12) is replaced by e_2099: 0=p12*q3 e_2291 is a consequence of e_2099 Step 5301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2382,e_1349 are consequences of e_2302 Step 5302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2335 is a consequence of e_2405. Step 5335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2406 is a consequence of e_2405. Step 5336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q3 from e_2099 and e_2284. e_2284: 0=(q3 + 2*q6)*p12 is replaced by e_2440: 0=p12*q6 Step 5338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 47 terms e_2136 is a consequence of e_2440. e_2442 is a consequence of e_2440. e_2428 is a consequence of e_2440. e_1976 is a consequence of e_2440. e_1976 is a consequence of e_1905. e_2475 is a consequence of e_2440. e_2475 is a consequence of e_1867. e_2330 is a consequence of e_2440. e_2433 is a consequence of e_2440. e_2443 is a consequence of e_2440. e_2443 is a consequence of e_2116. e_2489 is a consequence of e_2440. e_2489 is a consequence of e_2116. e_2476 is a consequence of e_2440. e_2476 is a consequence of e_2116. e_2481 is a consequence of e_2440. e_2481 is a consequence of e_2116. e_2490 is a consequence of e_2440. e_2490 is a consequence of e_2116. e_2397 is a consequence of e_2440. e_2397 is a consequence of e_2116. e_2292 is a consequence of e_2440. e_2331 is a consequence of e_2440. e_2377 is a consequence of e_2440. e_2377 is a consequence of e_755. e_2435 is a consequence of e_2440. e_2435 is a consequence of e_2116. e_2435 is a consequence of e_755. e_2454 is a consequence of e_2440. e_2482 is a consequence of e_2440. e_2482 is a consequence of e_2116. e_2461 is a consequence of e_2440. e_2444 is a consequence of e_2440. e_2444 is a consequence of e_2116. e_1984 is a consequence of e_755. e_2389 is a consequence of e_2440. e_2368 is a consequence of e_2440. e_2074 is a consequence of e_2440. e_2313 is a consequence of e_2440. Substitution of q24 by an expression in q6, p12, p11 found in e_1725 : 5 - ---*p12*q6 2 q24=--------------- p11 Step 5341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1025,e_1877 are consequences of e_2249 Step 5342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1639 is a consequence of e_2447 Step 5343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1919 is a consequence of e_2440. e_1919 is a consequence of e_2116. Step 5344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2128,e_2370,e_1773,e_2424,e_2426,e_1568,e_1740,e_1742,e_2308,e_2431,e_2439, e_2450,e_2421,e_2343,e_2297,e_2249,e_2447 are consequences of e_2017 Step 5345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0074*p14 + 3*g0077*p2 p14 q6 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q25,q20,q6,q3,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4,p3,p2,p11 New ordering: q25,q20,q6,q3,p21,p17,p16,p13,p12,p8,p6,p5,p4,p3,p2,p14,p11 The lexicographical ordering of unknowns is changed because q6 has to be non-zero, giving q6 a low priority. Old ordering: q25,q20,q6,q3,p21,p17,p16,p13,p12,p8,p6,p5,p4,p3,p2,p14,p11 New ordering: q25,q20,q3,q6,p21,p17,p16,p13,p12,p8,p6,p5,p4,p3,p2,p14,p11 The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 35 terms e_2498 is a consequence of e_2440. e_2498 is a consequence of e_2116. e_2491 is a consequence of e_2440. e_2491 is a consequence of e_2116. e_2499 is a consequence of e_2440. e_2499 is a consequence of e_2116. e_2486 is a consequence of e_2440. e_2486 is a consequence of e_2116. e_2496 is a consequence of e_2440. e_2496 is a consequence of e_2116. e_2497 is a consequence of e_2440. e_2497 is a consequence of e_2116. e_2492 is a consequence of e_2440. e_2492 is a consequence of e_2116. e_2477 is a consequence of e_2440. e_2477 is a consequence of e_2116. e_2153 is a consequence of e_2440. e_2153 is a consequence of e_2116. Substitution of q25 found in e_2017 : q25=0 Step 5346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms Substitution of p8 found in e_1867 : p8=0 Step 5347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q6=0 because of the non-vanishing expression: q6 The list of inequalities got extended by: An expression with 7 terms p11 Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: q22 The lexicographical ordering of unknowns is changed because q22 has to be non-zero, giving q22 a low priority. Old ordering: q25,q24,q22,q20,q12,q11,q9,q6,q3,p21,p17,p16,p14,p13,p12,p8,p6,p5, p4,p3,p2,p11 New ordering: q25,q24,q20,q12,q11,q9,q6,q3,q22,p21,p17,p16,p14,p13,p12,p8,p6,p5, p4,p3,p2,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2305 : 0=p16 e_1994,e_1639,e_1863,e_2069,e_2448,e_2310,e_1989,e_2406,e_2323,e_2185,e_2122, e_2405,e_2391,e_2432,e_1877,e_2116,e_2181,e_2251,e_2154,e_2230,e_2318 are consequences of e_2305 Step 5348: Hot list of urgent steps : The list of inequalities got extended by: p14 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q25,q24,q20,q12,q11,q9,q6,q3,q22,p21,p17,p16,p14,p13,p12,p8,p6,p5, p4,p3,p2,p11 New ordering: q25,q24,q20,q12,q11,q9,q6,q3,q22,p21,p17,p16,p13,p12,p8,p6,p5,p4, p3,p2,p14,p11 The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 39 terms e_2428 is a consequence of e_2431.e_1025 is a consequence of e_2428 e_2433 is a consequence of e_2431. e_2284 is a consequence of e_2431. e_1615 is a consequence of e_2431. e_2101 is a consequence of e_2431. e_995 is a consequence of e_2431. e_2222 is a consequence of e_2431. e_2454 is a consequence of e_2431. e_2454 is a consequence of e_2202. e_2455 is a consequence of e_1905. e_2456 is a consequence of e_2431. e_2457 is a consequence of e_2431. Substitution of p16 found in e_2305 : p16=0 Step 5349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p14=0 because of the non-vanishing expression: p14 The list of inequalities got extended by: An expression with 25 terms q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q25,q24,q20,q12,q11,q9,q6,q3,q22,p21,p17,p13,p12,p8,p6,p5,p4,p3,p2 ,p14,p11 New ordering: q24,q20,q12,q11,q9,q6,q3,q22,q25,p21,p17,p13,p12,p8,p6,p5,p4,p3,p2 ,p14,p11 The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 31 terms *** Garbage collection starting *** GC 670 4-Oct-2003 18:54:04, 50 ms (0%), 1207568 occupied, 23792379 free This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 70 ms The list of inequalities got extended by: q43 The lexicographical ordering of unknowns is changed because q43 has to be non-zero, giving q43 a low priority. Old ordering: q45,q43,q25,q24,q22,q20,q12,q11,q9,q6,q3,p21,p17,p16,p14,p13,p12, p8,p6,p5,p4,p3,p2,p11 New ordering: q45,q25,q24,q22,q20,q12,q11,q9,q6,q3,q43,p21,p17,p16,p14,p13,p12, p8,p6,p5,p4,p3,p2,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2453 : 0=p4 e_2260,e_2222,e_2316,e_2182 are consequences of e_2453 Step 5350: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 47 terms e_2382 is a consequence of e_2310. e_2382 is a consequence of e_1740. e_2305 is a consequence of e_2310.e_1882,e_2293 are consequences of e_2402 e_2405 is a consequence of e_2402. e_2107 is a consequence of e_2402. e_2351 is a consequence of e_2421. e_1813 is a consequence of e_2402. Substitution of p4 found in e_2453 : p4=0 Step 5351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 45 terms e_1785,e_2307,e_2074,e_2168,e_2322,e_2413,e_2254,e_2421,e_2306,e_2402,e_2022 are consequences of e_1021 e_2315 is a consequence of e_2310. e_2202 is a consequence of e_2310. e_2331 is a consequence of e_2041. e_2138 is a consequence of e_2310. e_1992 is a consequence of e_2310. Substitution of p13 found in e_1436 : p13=0 Step 5352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 43 terms e_2352 is a consequence of e_1349. e_2087 is a consequence of e_2224. e_2087 is a consequence of e_1349. e_2330 is a consequence of e_2224. e_2330 is a consequence of e_1349. e_2090 is a consequence of e_1349.e_2185,e_1742,e_2224 are consequences of e_2090 e_2149 is a consequence of e_1349. e_2300 is a consequence of e_1349. e_2290 is a consequence of e_1349. e_2335 is a consequence of e_2310. e_1994 is a consequence of e_1021. e_1148 is a consequence of e_2310. e_2188 is a consequence of e_1349. e_2235 is a consequence of e_1349. e_2060 is a consequence of e_1349. Substitution of p17 found in e_2041 : p17=0 Step 5353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: An expression with 42 terms Substitution of p8 found in e_2137 : p8=0 Step 5354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 40 terms e_1919 is a consequence of e_2310. e_2292 is a consequence of e_2310. e_2017 is a consequence of e_2310. Substitution of p6 found in e_1349 : p6=0 Step 5355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: g0027*p11 + g0032*p5 + g0034*p3 The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 31 terms e_2183,e_2181 are consequences of e_2141 e_2346 is a consequence of e_1021. e_1955 is a consequence of e_2141. e_2408 is a consequence of e_2141. e_2396 is a consequence of e_2141. e_2396 is a consequence of e_1021. e_2387 is a consequence of e_2343. e_1989 is a consequence of e_2141. Substitution of p2 found in e_2310 : p2=0 Step 5356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: g0027*p11 + g0032*p5 The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 25 terms e_2123 is a consequence of e_2152.e_2128,e_2320,e_1615,e_1808,e_1905,e_2160, e_2283,e_2106,e_2118,e_2344 are consequences of e_2373 e_2247 is a consequence of e_2343.e_1916,e_2127,e_2319,e_2245,e_2278,e_995, e_1074 are consequences of e_2232 e_2386,e_1977,e_1927,e_2343,e_2302,e_2358 are consequences of e_1184 e_2445 is a consequence of e_2117. e_2316 is a consequence of e_1184. e_2316 is a consequence of e_2447. e_2222 is a consequence of e_1184. Substitution of p3 found in e_1021 : p3=0 Step 5357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms e_2296,e_2436,e_2116,e_2152 are consequences of e_2366 Substitution of q12 found in e_2141 : q12=0 Step 5358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q45,q25,q24,q22,q20,q11,q9,q6,q3,q43,p21,p16,p14,p12,p5,p11 New ordering: q45,q25,q24,q22,q20,q11,q9,q6,q3,q43,p21,p14,p12,p5,p16,p11 The list of inequalities got extended by: p14 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q45,q25,q24,q22,q20,q11,q9,q6,q3,q43,p21,p14,p12,p5,p16,p11 New ordering: q45,q25,q24,q22,q20,q11,q9,q6,q3,q43,p21,p12,p5,p14,p16,p11 The list of inequalities got extended by: An expression with 19 terms Substitution of p14 found in e_2373 : p14=0 leads to a contradiction in : 0=2*p14 + 3*p16 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 70 ms The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q12,q11,q9,q6,q3,p21,p17,p16, p15,p14,p13,p12,p8,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q12,q11,q9,q6,q3,p21,p17,p16, p14,p13,p12,p8,p6,p5,p4,p3,p2,p15,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2333 : 0=q43 e_995,e_1021,e_2090,e_2306,e_2215,e_1436,e_2041,e_2137,e_1349,e_2310 are consequences of e_2333 Step 5359: Hot list of urgent steps : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 21 terms e_1917,e_2277,e_2022,e_1062,e_1918,e_1874,e_2224,e_1278,e_2337 are consequences of e_2338 e_2344 is a consequence of e_2284. e_2345 is a consequence of e_2338. *** Garbage collection starting *** GC 671 4-Oct-2003 18:54:12, 50 ms (0%), 1253465 occupied, 23746486 free e_2354 is a consequence of e_2338. e_2360 is a consequence of e_2338. e_2363 is a consequence of e_2338. e_2370 is a consequence of e_2338. e_2371 is a consequence of e_2338. e_2372 is a consequence of e_2338. e_2378 is a consequence of e_1996. e_2380 is a consequence of e_2338. Substitution of q43 found in e_2333 : q43=0 Step 5360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 11 terms e_2349 is a consequence of e_2182. e_2204 is a consequence of e_2182.e_1863,e_2069,e_2185 are consequences of e_2343 e_2348 is a consequence of e_2182.e_2352,e_2164,e_2263,e_1931,e_2341,e_2031, e_1970,e_2294,e_2229,e_2109,e_2225,e_2182,e_2347 are consequences of e_2138 e_2167 is a consequence of e_2355 e_2359 is a consequence of e_2138. e_2357 is a consequence of e_2138. e_2232 is a consequence of e_2138. e_2365 is a consequence of e_2138. e_2081 is a consequence of e_2138. e_2381 is a consequence of e_2138. e_2230 is a consequence of e_2138. Substitution of q45 found in e_2338 : q45=0 Step 5361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 6 terms e_2202 is a consequence of e_2355 e_2150 is a consequence of e_2343.e_2377 is a consequence of e_2320 e_2259 is a consequence of e_2346. e_1184 is a consequence of e_2386. e_2366 is a consequence of e_2386. e_2321 is a consequence of e_2284. e_2321 is a consequence of e_1996. e_2373 is a consequence of e_2343. Substitution of q44 found in e_2138 : q44=0 Step 5362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 6 terms e_2320 is a consequence of e_2284. e_1785 is a consequence of e_2192. e_2252 is a consequence of e_1545. e_1148 is a consequence of e_2037. e_2285 is a consequence of e_2284. e_2290 is a consequence of e_2340. e_2368 is a consequence of e_2342. e_2323 is a consequence of e_2284. e_2323 is a consequence of e_1744. e_2374 is a consequence of e_1744. e_2384 is a consequence of e_2284. Substitution of q25 by an expression in q23 found in e_2355 : q25= - q23 Step 5363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 6 terms e_2247 is a consequence of e_2343. e_2346 is a consequence of e_2343. e_2340 is a consequence of e_2343. e_2284 is a consequence of e_2343. e_2284 is a consequence of e_2106. e_1377 is a consequence of e_2343. e_1025 is a consequence of e_2343. e_1025 is a consequence of e_1596. e_2330 is a consequence of e_2343. e_2239 is a consequence of e_2343. e_2149 is a consequence of e_2343. e_2342 is a consequence of e_2343. e_2300 is a consequence of e_2343. e_2291 is a consequence of e_2343. e_2364 is a consequence of e_2343. e_2351 is a consequence of e_2343. e_2358 is a consequence of e_2343. e_2350 is a consequence of e_2343. e_2302 is a consequence of e_2343. e_1977 is a consequence of e_2343. e_2152 is a consequence of e_2343. e_2367 is a consequence of e_2343. e_2353 is a consequence of e_2343. e_2304 is a consequence of e_2343. e_2356 is a consequence of e_2343. e_2369 is a consequence of e_2343. e_2243 is a consequence of e_2343. e_2293 is a consequence of e_2343. e_2074 is a consequence of e_2343. e_2223 is a consequence of e_2343. e_2322 is a consequence of e_2343. e_2297 is a consequence of e_2343. e_1639 is a consequence of e_2343. e_2362 is a consequence of e_2343. e_2298 is a consequence of e_2343. e_2376 is a consequence of e_2343. e_2379 is a consequence of e_2343. e_2385 is a consequence of e_2343. e_2389 is a consequence of e_2343. Substitution of q23 by an expression in q24, p16, p11 found in e_1916 : 2 - ---*p16*q24 3 q23=---------------- p11 Step 5365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2018 is a consequence of e_2343. Step 5366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2122 is a consequence of e_2343. Step 5371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2316 is a consequence of e_2343. Step 5372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2257 is a consequence of e_2343. Step 5373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2051 is a consequence of e_2343. Step 5374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2233 is a consequence of e_2343. Step 5376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2147 is a consequence of e_2343. Step 5377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2235 is a consequence of e_2343. Step 5378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2060 is a consequence of e_2343. Step 5379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q9 from e_1919 and e_2387. e_2387: 0=(q11 - 2*q9)*p16 is replaced by e_2329: 0=p16*q11 e_2329 is a consequence of e_2254. Step 5380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 672 4-Oct-2003 18:54:16, 50 ms (0%), 1295570 occupied, 23704373 free Eliminate q6 from e_1995 and e_1069. e_1069: 3 terms, 6 factors, with derivatives of functions of all variables: (q6,q3,p17,p6) is replaced by e_2048: 0=q3*(7*p17 + p6) Step 5381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 673 4-Oct-2003 18:54:18, 50 ms (0%), 1291804 occupied, 23708135 free Eliminate q15 from e_1129 and e_1979. e_1129: 3 terms, 6 factors, with derivatives of functions of all variables: (q15,q12,p17,p6) is replaced by e_2331: 0=p6*q12 Step 5382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 674 4-Oct-2003 18:54:20, 60 ms (0%), 1279371 occupied, 23720574 free *** Garbage collection starting *** GC 675 4-Oct-2003 18:54:23, 60 ms (0%), 1259709 occupied, 23740242 free Eliminate q3 from e_2251 and e_2172. e_2172: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q6,q3,p16 ,p14 ,p2,p11) is replaced by e_2135: 0=p14*q6*(p11 + 3*p2) e_2135 is a consequence of e_1905. Step 5384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_757 and e_1409. e_1409: 8 terms, 24 factors, with derivatives of functions of all variables: (q24,q22,p21,p13,p12,p2) is replaced by e_2335: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q24,p21,p13,p12,p2) Step 5385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 676 4-Oct-2003 18:54:25, 60 ms (0%), 1303599 occupied, 23696340 free *** Garbage collection starting *** GC 677 4-Oct-2003 18:54:28, 50 ms (0%), 1289074 occupied, 23710866 free *** Garbage collection starting *** GC 678 4-Oct-2003 18:54:31, 60 ms (0%), 1301110 occupied, 23698835 free Eliminate q22 from e_765 and e_775. e_775: 5 terms, 10 factors, with derivatives of functions of all variables: (q24,q22,q6,p13,p12,p2) is replaced by e_2126: 4 terms, 8 factors, with derivatives of functions of all variables: (q24,q6,p21,p13,p12,p2) Step 5386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 679 4-Oct-2003 18:54:33, 60 ms (0%), 1297144 occupied, 23702802 free *** Garbage collection starting *** GC 680 4-Oct-2003 18:54:36, 50 ms (0%), 1275900 occupied, 23724044 free *** Garbage collection starting *** GC 681 4-Oct-2003 18:54:38, 50 ms (0%), 1287331 occupied, 23712612 free *** Garbage collection starting *** GC 682 4-Oct-2003 18:54:41, 60 ms (0%), 1306830 occupied, 23693069 free Eliminate q24 from e_795 and e_783. e_783: 5 terms, 10 factors, with derivatives of functions of all variables: (q24,q22,q6,q3,p13,p12,p15) is replaced by e_2265: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q6,q3,p13,p12,p3,p15) Step 5387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 683 4-Oct-2003 18:54:43, 50 ms (0%), 1296435 occupied, 23703506 free Eliminate q22 from e_757 and e_1419. e_1419: 12 terms, 36 factors, with derivatives of functions of all variables: (q24,q22,q11,q9,p21,p13,p12,p2,p15,p11) is replaced by e_1984: 8 terms, 24 factors, with derivatives of functions of all variables: (q24,q11,q9,p21,p13,p12,p2,p15,p11) Step 5388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 684 4-Oct-2003 18:54:46, 60 ms (0%), 1308371 occupied, 23691524 free *** Garbage collection starting *** GC 685 4-Oct-2003 18:54:49, 50 ms (0%), 1297842 occupied, 23702103 free Eliminate q24 from e_880 and e_785. e_785: 6 terms, 12 factors, with derivatives of functions of all variables: (q24,q22,q12,q6,p17,p6,p2,p11) is replaced by e_2325: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q12,q6,p17,p13,p6,p2,p11) Step 5389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 36 terms e_2331 is a consequence of e_764. e_2216 is a consequence of e_764. e_2327 is a consequence of e_764. e_2326 is a consequence of e_764. e_2237 is a consequence of e_764. Substitution of q12 by an expression in q22, q6, p17, p13, p6, p2, p11 found in e_2325 : 10 factors in 5 terms Step 5390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 686 4-Oct-2003 18:54:52, 50 ms (0%), 1259865 occupied, 23740081 free shortening by 1 term Step 5391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q24 from e_880 and e_2306. e_2306: 9 terms, 27 factors, with derivatives of functions of all variables: 2 2 (q24,q22,q6,p17,p13 ,p13,p6,p2 ,p2) is replaced by e_2345: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q22,q6,p17,p13 ,p13,p6,p2 ,p2) Step 5392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_764 and e_2345. e_2345: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q22,q6,p17,p13 ,p13,p6,p2 ,p2) is replaced by e_2354: 0=q6*p13*(p13 + 2*p2) Step 5393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_764 and e_2332. e_2332: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q22,q15,q6,p17 ,p17,p13,p6,p2,p11) is replaced by e_2363: 0=q15*(p17 - p6) Step 5394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 687 4-Oct-2003 18:54:54, 60 ms (0%), 1310536 occupied, 23689401 free Eliminate q22 from e_764 and e_2344. e_2344: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q22,q20,q15,q6,p17 ,p17,p13,p6,p2,p11) is replaced by e_2371: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q15,p17,p6) Step 5395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 688 4-Oct-2003 18:54:57, 50 ms (0%), 1260304 occupied, 23739641 free Eliminate q22 from e_764 and e_2310. e_2310: 10 terms, 20 factors, with derivatives of functions of all variables: (q24,q22,q15,q6,q3,p17,p13,p6,p4,p2,p11) is replaced by e_2380: 7 terms, 14 factors, with derivatives of functions of all variables: (q24,q15,q6,q3,p17,p13,p4,p2,p11) Step 5396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 689 4-Oct-2003 18:55:00, 50 ms (0%), 1304776 occupied, 23695162 free Eliminate q22 from e_915 and e_2044. e_2044: 7 terms, 14 factors, with derivatives of functions of all variables: (q22,q6,q3,p17,p13,p4,p2,p15) is replaced by e_2333: 7 terms, 14 factors, with derivatives of functions of all variables: (q6,q3,p13,p4,p3,p2,p15) Step 5397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_764 and e_2041. e_2041: 12 terms, 24 factors, with derivatives of functions of all variables: (q24,q22,q15,q6,q3,p17,p13,p6,p4,p3,p2,p11) is replaced by e_2349: 8 terms, 16 factors, with derivatives of functions of all variables: (q24,q15,q6,q3,p17,p13,p4,p3,p11) Step 5398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 690 4-Oct-2003 18:55:03, 50 ms (0%), 1281200 occupied, 23718746 free *** Garbage collection starting *** GC 691 4-Oct-2003 18:55:05, 60 ms (0%), 1302056 occupied, 23697882 free *** Garbage collection starting *** GC 692 4-Oct-2003 18:55:08, 50 ms (0%), 1298081 occupied, 23701857 free *** Garbage collection starting *** GC 693 4-Oct-2003 18:55:11, 50 ms (0%), 1266304 occupied, 23733643 free *** Garbage collection starting *** GC 694 4-Oct-2003 18:55:14, 60 ms (0%), 1262292 occupied, 23737654 free Eliminate q22 from e_915 and e_803. e_803: 7 terms, 14 factors, with derivatives of functions of all variables: (q24,q22,q6,q3,p17,p13,p5,p2,p15) is replaced by e_2204: 5 terms, 10 factors, with derivatives of functions of all variables: (q24,q6,p17,p13,p5,p3,p2) Step 5399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 695 4-Oct-2003 18:55:17, 60 ms (0%), 1290485 occupied, 23709457 free Eliminate q24 from e_2380 and e_2349. e_2349: 8 terms, 16 factors, with derivatives of functions of all variables: (q24,q15,q6,q3,p17,p13,p4,p3,p11) is replaced by e_1863: 7 terms, 14 factors, with derivatives of functions of all variables: (q6,q3,p4,p3,p2,p11) Step 5400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 696 4-Oct-2003 18:55:20, 50 ms (0%), 1288552 occupied, 23711392 free *** Garbage collection starting *** GC 697 4-Oct-2003 18:55:23, 50 ms (0%), 1294921 occupied, 23705021 free *** Garbage collection starting *** GC 698 4-Oct-2003 18:55:26, 60 ms (0%), 1283872 occupied, 23716073 free *** Garbage collection starting *** GC 699 4-Oct-2003 18:55:29, 50 ms (0%), 1276057 occupied, 23723889 free Eliminate q22 from e_764 and e_1349. e_1349: 11 terms, 33 factors, with derivatives of functions of all variables: (q22,q20,q15,q11,q9,q6,p17,p13,p6,p4,p3,p2,p15,p11) is replaced by e_2348: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q15,q11,q9,p17,p13,p4,p3,p15) Step 5401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 700 4-Oct-2003 18:55:32, 60 ms (0%), 1298993 occupied, 23700946 free *** Garbage collection starting *** GC 701 4-Oct-2003 18:55:35, 60 ms (0%), 1306956 occupied, 23692986 free *** Garbage collection starting *** GC 702 4-Oct-2003 18:55:39, 60 ms (0%), 1264068 occupied, 23735878 free *** Garbage collection starting *** GC 703 4-Oct-2003 18:55:42, 60 ms (0%), 1267756 occupied, 23732191 free Eliminate q22 from e_764 and e_1436. e_1436: 24 terms, 72 factors, with derivatives of functions of all variables: 2 (q22,q20,q15,q11,q9,q6,p17,p13,p6,p5,p4,p3,p2 ,p2,p15,p11) is replaced by e_2347: 8 terms, 16 factors, with derivatives of functions of all variables: (q20,q15,q11,q9,p17,p13,p5,p4,p3,p2) Step 5402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 704 4-Oct-2003 18:55:45, 60 ms (0%), 1291239 occupied, 23708702 free Eliminate q22 from e_764 and e_2215. e_2215: 12 terms, 36 factors, with derivatives of functions of all variables: (q24,q22,q20,q15,q11,q6,p21,p17,p13,p12,p6,p5,p3,p2,p15,p11) is replaced by e_2182: 8 terms, 24 factors, with derivatives of functions of all variables: (q24,q20,q15,q11,p21,p17,p13,p12,p5,p3,p15,p11) Step 5403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_764 and e_2090. e_2090: 13 terms, 39 factors, with derivatives of functions of all variables: (q24,q22,q20,q15,q11,q9,q6,p21,p17,p13,p12,p6,p5,p2,p15,p11) is replaced by e_2225: 9 terms, 27 factors, with derivatives of functions of all variables: (q24,q20,q15,q11,q9,p21,p17,p13,p12,p5,p15,p11) Step 5404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 705 4-Oct-2003 18:55:49, 60 ms (0%), 1274396 occupied, 23725550 free Eliminate q24 from e_2182 and e_2225. e_2225: 9 terms, 27 factors, with derivatives of functions of all variables: (q24,q20,q15,q11,q9,p21,p17,p13,p12,p5,p15,p11) is replaced by e_2109: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q11,q9,p13,p12,p5,p3,p15) Step 5405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q20 from e_2109 and e_2182. e_2182: 8 terms, 24 factors, with derivatives of functions of all variables: (q24,q20,q15,q11,p21,p17,p13,p12,p5,p3,p15,p11) is replaced by e_2229: 8 terms, 24 factors, with derivatives of functions of all variables: (q24,q15,q11,q9,p21,p17,p13,p12,p5,p3,p15,p11) Step 5406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 706 4-Oct-2003 18:55:52, 50 ms (0%), 1261756 occupied, 23738191 free Eliminate q24 from e_2204 and e_1021. e_1021: 20 terms, 60 factors, with derivatives of functions of all variables: 2 2 (q24,q22,q15,q11,q6,p17,p13 ,p13,p6,p3,p2 ,p2,p15,p11) is replaced by e_2294: 20 terms, 60 factors, with derivatives of functions of all variables: 2 2 (q22,q15,q11,q6,p17,p13 ,p13,p6,p5,p3,p2 ,p2,p15,p11) Step 5407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 707 4-Oct-2003 18:55:56, 50 ms (0%), 1274765 occupied, 23725181 free Eliminate q24 from e_2380 and e_919. e_2380: 7 terms, 14 factors, with derivatives of functions of all variables: (q24,q15,q6,q3,p17,p13,p4,p2,p11) is replaced by e_1970: 7 terms, 14 factors, with derivatives of functions of all variables: (q15,q6,q3,p13,p5,p4,p2,p15,p11) Step 5408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 708 4-Oct-2003 18:56:00, 50 ms (0%), 1265045 occupied, 23734902 free Eliminate q22 from e_764 and e_2337. e_2337: 15 terms, 45 factors, with derivatives of functions of all variables: (q24,q22,q20,q15,q11,q9,q6,p21,p17,p13,p12,p6,p4,p3,p2,p15,p11) is replaced by e_2031: 11 terms, 33 factors, with derivatives of functions of all variables: (q24,q20,q15,q11,q9,p21,p17,p13,p12,p4,p3,p15,p11) Step 5409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 709 4-Oct-2003 18:56:03, 60 ms (0%), 1295924 occupied, 23704019 free *** Garbage collection starting *** GC 710 4-Oct-2003 18:56:07, 60 ms (0%), 1283838 occupied, 23716102 free Eliminate q24 from e_2204 and e_1874. e_1874: 23 terms, 69 factors, with derivatives of functions of all variables: 2 2 (q24,q22,q15,q11,q9,q6,p17,p13 ,p13,p6,p5,p2 ,p2,p15,p11) is replaced by e_2341: 23 terms, 69 factors, with derivatives of functions of all variables: 2 2 (q22,q15,q11,q9,q6,p17,p13 ,p13,p6,p5,p3,p2 ,p2,p15,p11) Step 5410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 711 4-Oct-2003 18:56:11, 50 ms (0%), 1279875 occupied, 23720073 free *** Garbage collection starting *** GC 712 4-Oct-2003 18:56:16, 50 ms (0%), 1287586 occupied, 23712358 free *** Garbage collection starting *** GC 713 4-Oct-2003 18:56:20, 60 ms (0%), 1276095 occupied, 23723854 free *** Garbage collection starting *** GC 714 4-Oct-2003 18:56:24, 60 ms (0%), 1267926 occupied, 23732023 free *** Garbage collection starting *** GC 715 4-Oct-2003 18:56:29, 60 ms (0%), 1281012 occupied, 23718936 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1905 we get the alternative equations : 0=q6 0=p14 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1184 : 0=q6 e_2354,e_755,e_1940,e_1867,e_2116 are consequences of e_1184 Step 5411: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 26 terms Substitution of q6 found in e_1184 : q6=0 Step 5412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms e_2296 is a consequence of e_2160. e_1976 is a consequence of e_2251. e_2087 is a consequence of e_2103. Substitution of q15 by an expression in q3, p13, p2, p11 found in e_2146 : p13*q3 - p2*q3 q15=---------------- p11 Step 5413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2017 is a consequence of e_2160. Step 5433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 716 4-Oct-2003 18:56:32, 50 ms (0%), 1313137 occupied, 23686800 free *** Garbage collection starting *** GC 717 4-Oct-2003 18:56:36, 50 ms (0%), 1277849 occupied, 23722099 free *** Garbage collection starting *** GC 718 4-Oct-2003 18:56:39, 50 ms (0%), 1279564 occupied, 23720385 free Eliminate q22 from e_2384 and e_2307. e_2307: 6 terms, 12 factors, with derivatives of functions of all variables: (q22,q3,p17,p13,p5,p2,p15,p11) is replaced by e_2233: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q3,p13,p5,p2,p15,p11) Step 5435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 719 4-Oct-2003 18:56:43, 50 ms (0%), 1275910 occupied, 23724039 free Eliminate q22 from e_2384 and e_1916. e_1916: 4 terms, 8 factors, with derivatives of functions of all variables: (q22,q3,p17,p13,p4,p15) is replaced by e_2147: 0=q3*(p13 + p15 + 3*p2 - p4) Step 5436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_2384 and e_1882. e_1882: 4 terms, 8 factors, with derivatives of functions of all variables: (q22,q3,p17,p5,p4,p15) is replaced by e_2235: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q3,p5,p4,p2,p15) Step 5437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 720 4-Oct-2003 18:56:46, 50 ms (0%), 1283407 occupied, 23716541 free Eliminate q22 from e_2384 and e_2361. e_2361: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q22,q20,q11,q3,p17,p13,p5,p2 ,p2,p15,p11) is replaced by e_2060: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q20,q11,q3,p17,p13,p5,p2 ,p2,p15,p11) Step 5438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 721 4-Oct-2003 18:56:50, 50 ms (0%), 1290008 occupied, 23709940 free *** Garbage collection starting *** GC 722 4-Oct-2003 18:56:54, 50 ms (0%), 1282802 occupied, 23717147 free Eliminate q20 from e_2095 and e_2383. e_2383: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 (q22,q20,q9,q3,p17,p13 ,p13,p6,p4,p2 ,p2,p15,p11) is replaced by e_2387: 13 terms, 39 factors, with derivatives of functions of all variables: 2 2 (q22,q9,q3,p17,p13 ,p13,p6,p4,p2 ,p2,p11) Step 5439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 723 4-Oct-2003 18:56:58, 50 ms (0%), 1277329 occupied, 23722618 free *** Garbage collection starting *** GC 724 4-Oct-2003 18:57:02, 60 ms (0%), 1296764 occupied, 23703185 free *** Garbage collection starting *** GC 725 4-Oct-2003 18:57:06, 50 ms (0%), 1284797 occupied, 23715152 free Eliminate q24 from e_2323 and e_2375. e_2375: 13 terms, 39 factors, with derivatives of functions of all variables: (q24,q22,q20,q9,q3,p21,p17,p13,p12,p6,p4,p2,p15,p11) is replaced by e_2329: 13 terms, 39 factors, with derivatives of functions of all variables: (q22,q20,q9,q3,p21,p17,p13,p12,p6,p4,p2,p15,p11) Step 5440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 726 4-Oct-2003 18:57:11, 50 ms (0%), 1276599 occupied, 23723349 free *** Garbage collection starting *** GC 727 4-Oct-2003 18:57:16, 50 ms (0%), 1293762 occupied, 23706183 free *** Garbage collection starting *** GC 728 4-Oct-2003 18:57:22, 60 ms (0%), 1281063 occupied, 23718885 free *** Garbage collection starting *** GC 729 4-Oct-2003 18:57:28, 60 ms (0%), 1277613 occupied, 23722334 free Eliminate q20 from e_2109 and e_2127. e_2127: 25 terms, 75 factors, with derivatives of functions of all variables: (q24,q22,q20,q11,q9,q3,p21,p17,p13,p12,p6,p5,p4,p2,p15,p11) is replaced by e_1069: 25 terms, 75 factors, with derivatives of functions of all variables: (q24,q22,q11,q9,q3,p21,p17,p13,p12,p6,p5,p4,p3,p2,p15,p11) Step 5441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 730 4-Oct-2003 18:57:36, 60 ms (0%), 1280195 occupied, 23719753 free *** Garbage collection starting *** GC 731 4-Oct-2003 18:57:45, 60 ms (0%), 1280529 occupied, 23719420 free --- Factorization to subcases leading to substitutions : factorizing e_2366 we get the alternative equations : 0=q3 0=p17 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_2378 : 0=q3 e_2233,e_2319,e_2147,e_2235,e_2048,e_1691,e_2298,e_2110,e_2160,e_2103,e_2251 are consequences of e_2378 Step 5442: Hot list of urgent steps : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 23 terms e_2157,e_2283,e_2154,e_2316,e_2393 are consequences of e_2398 Substitution of q3 found in e_2378 : q3=0 Step 5443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q20 found in e_2398 : q20=0 Step 5444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms e_2404 is a consequence of e_1148. e_2167 is a consequence of e_2106. e_2359 is a consequence of e_2343. e_2357 is a consequence of e_1596. Substitution of q11 by an expression in q24, p13, p3, p15, p11 found in e_2399 : 18 factors in 5 terms Step 5445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms e_2202 is a consequence of e_2343. e_2150 is a consequence of e_2106. e_2377 is a consequence of e_1596. e_2409 is a consequence of e_1148. e_2407 is a consequence of e_1148. e_2405 is a consequence of e_1148. Substitution of q9 by an expression in q24, p13, p3, p15, p11 found in e_2400 : 18 factors in 5 terms Step 5446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 732 4-Oct-2003 18:57:49, 60 ms (0%), 1293148 occupied, 23706800 free *** Garbage collection starting *** GC 733 4-Oct-2003 18:57:52, 50 ms (0%), 1296887 occupied, 23703062 free *** Garbage collection starting *** GC 734 4-Oct-2003 18:57:55, 60 ms (0%), 1299799 occupied, 23700150 free *** Garbage collection starting *** GC 735 4-Oct-2003 18:57:59, 60 ms (0%), 1285812 occupied, 23714136 free *** Garbage collection starting *** GC 736 4-Oct-2003 18:58:03, 60 ms (0%), 1285004 occupied, 23714945 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2310 we get the alternative equations : 0=q22 0=p17 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_2074 : 0=q22 e_2395,e_2397,e_2301,e_757,e_990,e_1785,e_2252,e_2044,e_2391,e_2394,e_1808, e_2001,e_2246 are consequences of e_2074 Step 5461: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: g0071*p2 + 3*g0074*p8 p16 q24 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q24,q22,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4,p3,p2,p15,p11 New ordering: q24,q22,p21,p17,p14,p13,p12,p8,p6,p5,p4,p3,p2,p16,p15,p11 The lexicographical ordering of unknowns is changed because q24 has to be non-zero, giving q24 a low priority. Old ordering: q24,q22,p21,p17,p14,p13,p12,p8,p6,p5,p4,p3,p2,p16,p15,p11 New ordering: q22,q24,p21,p17,p14,p13,p12,p8,p6,p5,p4,p3,p2,p16,p15,p11 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q22,q24,p21,p17,p14,p13,p12,p8,p6,p5,p4,p3,p2,p16,p15,p11 New ordering: q22,q24,p21,p17,p14,p13,p12,p8,p6,p4,p3,p2,p5,p16,p15,p11 The list of inequalities got extended by: An expression with 23 terms Substitution of q22 found in e_2074 : q22=0 Step 5462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p2 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q24,p21,p17,p14,p13,p12,p8,p6,p4,p3,p2,p5,p16,p15,p11 New ordering: q24,p21,p17,p14,p12,p8,p6,p4,p3,p13,p2,p5,p16,p15,p11 The list of inequalities got extended by: An expression with 22 terms Substitution of p8 found in e_1596 : p8=0 Step 5463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms Substitution of p14 found in e_2106 : p14=0 Step 5464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q24=0 because of the non-vanishing expression: q24 Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q24,q22,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4,p3,p2,p15,p11 New ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p5,p4,p3,p2,p13,p15,p11 The list of inequalities got extended by: p2 The list of inequalities got extended by: q22 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p5,p4,p3,p2,p13,p15,p11 New ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p5,p3,p4,p2,p13,p15,p11 The list of inequalities got extended by: q24 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p5,p3,p4,p2,p13,p15,p11 New ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p3,p5,p4,p2,p13,p15,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_2074 : 0=p17 e_2074 is a consequence of e_1148. It turns out that the next factor is a consequence of another equation. Therefore the investigation of any factors after this one is droped. Step 5465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 3 terms p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q24,q22,p21,p17,p16,p14,p12,p8,p6,p3,p5,p4,p2,p13,p15,p11 New ordering: q24,q22,p21,p17,p14,p12,p8,p6,p3,p16,p5,p4,p2,p13,p15,p11 The list of inequalities got extended by: An expression with 27 terms Substitution of p14 found in e_1808 : p14=0 Step 5466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 3*p11*q22 - p2*q24 The list of inequalities got extended by: An expression with 26 terms Substitution of p8 found in e_1596 : p8=0 Step 5467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 The list of inequalities got extended by: g0012*q24 + g0014*q22 + g0023*p11 p11 The list of inequalities got extended by: An expression with 18 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: q3 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_2378 : 0=p17 e_1148,e_2316 are consequences of e_2378 Step 5468: Hot list of urgent steps : The list of inequalities got extended by: An expression with 26 terms e_2257,e_2110,e_2310,e_2044 are consequences of e_2391 e_2244 is a consequence of e_2392 Substitution of p17 found in e_2378 : p17=0 Step 5469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q24,q22,q20,q11,q9,q3,p21,p16,p14,p13,p12,p8,p6,p5,p4,p3,p2,p15, p11 New ordering: q24,q22,q20,q11,q9,q3,p21,p14,p13,p12,p8,p6,p5,p4,p3,p2,p16,p15, p11 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 25 terms Substitution of p14 found in e_2160 : p14=0 Step 5470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 3*p11*q22 - p2*q24 The list of inequalities got extended by: An expression with 24 terms Substitution of p8 found in e_2103 : p8=0 Step 5471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 The list of inequalities got extended by: An expression with 15 terms p11 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: q6 The lexicographical ordering of unknowns is changed because q6 has to be non-zero, giving q6 a low priority. Old ordering: q24,q22,q20,q15,q11,q9,q6,q3,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4, p3,p2,p15,p11 New ordering: q24,q22,q20,q15,q11,q9,q3,q6,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4, p3,p2,p15,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1184 : 0=p14 e_1808,e_2160,e_2050,e_2283,e_2106,e_2118,e_2386 are consequences of e_1184 Step 5472: Hot list of urgent steps : The list of inequalities got extended by: An expression with 3 terms p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q24,q22,q20,q15,q11,q9,q3,q6,p21,p17,p16,p14,p13,p12,p8,p6,p5,p4, p3,p2,p15,p11 New ordering: q24,q22,q20,q15,q11,q9,q3,q6,p21,p17,p14,p13,p12,p8,p6,p5,p4,p3,p2 ,p16,p15,p11 The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 28 terms e_2366 is a consequence of e_2242.e_2363,e_1680 are consequences of e_2366 Substitution of p14 found in e_1184 : p14=0 Step 5473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 3*p11*q22 - p2*q24 The list of inequalities got extended by: An expression with 27 terms Substitution of p8 found in e_1867 : p8=0 Step 5474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 The list of inequalities got extended by: An expression with 18 terms p11 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 90 ms The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p2,p3,p11 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p2,p3,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p15,p14,p13,p12,p8,p6,p4,p2,p5,p3,p11 The list of inequalities got extended by: q2 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p15,p14,p13,p12,p8,p6,p4,p2,p5,p3,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p14,p13,p12,p8,p6,p4,p2,p15,p5,p3,p11 The list of inequalities got extended by: p8 q9 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p14,p13,p12,p8,p6,p4,p2,p15,p5,p3,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p14,p13,p12,p6,p4,p2,p8,p15,p5,p3,p11 The lexicographical ordering of unknowns is changed because q9 has to be non-zero, giving q9 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, p21,p17,p16,p14,p13,p12,p6,p4,p2,p8,p15,p5,p3,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q6,q3,q9,q2, p21,p17,p16,p14,p13,p12,p6,p4,p2,p8,p15,p5,p3,p11 New level : 1.1.1.1.1.2.1.1.1.1.1.2. CRACK is now called with the new equation e_2336 : 0=p2 e_2122,e_1830,e_1817,e_1545,e_1740 are consequences of e_2336 Step 5475: Hot list of urgent steps : The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 29 terms e_2281 is a consequence of e_1148. e_2281 is a consequence of e_1568. e_1748 is a consequence of e_2096. e_1748 is a consequence of e_2001. e_1748 is a consequence of e_1972. e_1748 is a consequence of e_2201. e_2219 is a consequence of e_2137. e_2219 is a consequence of e_1148. e_2219 is a consequence of e_1729. e_2291 is a consequence of e_1970. e_2291 is a consequence of e_1972. e_2267 is a consequence of e_2153. e_2267 is a consequence of e_1972. e_2267 is a consequence of e_1596. e_2246 is a consequence of e_2037. e_2106 is a consequence of e_2096. e_2106 is a consequence of e_2001. e_2106 is a consequence of e_2201. e_2270 is a consequence of e_2153.e_2135,e_1049,e_2167,e_900,e_2075,e_1808, e_1905,e_2160,e_2183,e_2050,e_2283 are consequences of e_2270 e_2255 is a consequence of e_2037. e_2249 is a consequence of e_1867. e_1744 is a consequence of e_1972. e_2223 is a consequence of e_1972. e_2238 is a consequence of e_1972. e_1813 is a consequence of e_1970. e_1813 is a consequence of e_1972. e_2260 is a consequence of e_1972. e_2254 is a consequence of e_1972. *** Garbage collection starting *** GC 737 4-Oct-2003 18:58:14, 60 ms (0%), 1292922 occupied, 23707027 free e_2138 is a consequence of e_1972. e_1184 is a consequence of e_1972. Substitution of p2 found in e_2336 : p2=0 Step 5476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p8=0 because of the non-vanishing expression: p8 The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 28 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 170 ms The list of inequalities got extended by: q30 The lexicographical ordering of unknowns is changed because q30 has to be non-zero, giving q30 a low priority. Old ordering: q45,q44,q43,q30,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3, q2,p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p3,p2,p11 New level : 1.1.1.1.1.2.1.1.1.1.2. CRACK is now called with the new equation e_2263 : 0=p17 e_2063,e_2015,e_1995,e_2041,e_1977 are consequences of e_2263 Step 5477: Hot list of urgent steps : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 60 terms e_1742 is a consequence of e_1349. e_1742 is a consequence of e_1615. e_1918 is a consequence of e_2156. e_1918 is a consequence of e_1615. e_1955 is a consequence of e_1615. e_2188 is a consequence of e_1615. e_1911 is a consequence of e_1615. e_1882 is a consequence of e_1615.e_2150,e_2107,e_2168,e_2192,e_1349,e_2156 are consequences of e_1882 e_1917 is a consequence of e_1615. e_1917 is a consequence of e_1639. e_2164 is a consequence of e_1615. e_2018 is a consequence of e_1615. e_2060 is a consequence of e_1615. e_1989 is a consequence of e_1615. e_2216 is a consequence of e_1615. e_1903 is a consequence of e_1490. e_2066 is a consequence of e_1615. e_2113 is a consequence of e_1615. e_1709 is a consequence of e_1615. e_1919 is a consequence of e_1615. e_1570 is a consequence of e_1615. e_2134 is a consequence of e_1615. Substitution of p17 found in e_2263 : p17=0 Step 5478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: An expression with 59 terms e_2189 is a consequence of e_1609. e_2102 is a consequence of e_1490.e_1961 is a consequence of e_2102 e_2187 is a consequence of e_1609. e_2142 is a consequence of e_1905. e_2142 is a consequence of e_1639. Substitution of p8 found in e_1377 : p8=0 Step 5479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p16,p15,p14,p13,p12,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p15,p14,p13,p12,p6,p5,p4,p3,p2,p16,p11 The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 51 terms e_995,e_1021,e_1817,e_1436,e_1729 are consequences of e_2163 e_2209 is a consequence of e_1609. e_2209 is a consequence of e_2201. e_2245 is a consequence of e_2163. e_2247 is a consequence of e_2163. e_2248 is a consequence of e_1744. e_2250 is a consequence of e_1744. e_2251 is a consequence of e_2163. e_2251 is a consequence of e_1609. e_1913 is a consequence of e_1609. e_2254 is a consequence of e_1615. e_2256 is a consequence of e_1744. e_2257 is a consequence of e_2126. e_1057 is a consequence of e_2096. e_649 is a consequence of e_2096. e_2260 is a consequence of e_2126. e_2261 is a consequence of e_2126. Substitution of p14 found in e_1639 : p14=0 Step 5480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 42 terms e_1025 is a consequence of e_2096.e_2154,e_2049,e_2152,e_1958,e_1725,e_1916, e_1807,e_2040,e_1148,e_2198,e_1972 are consequences of e_1025 e_1911 is a consequence of e_2096. *** Garbage collection starting *** GC 738 4-Oct-2003 18:58:20, 60 ms (0%), 1367909 occupied, 23632020 free Substitution of p3 found in e_1609 : p3=0 Step 5481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 39 terms e_2249 is a consequence of e_2172. e_2137 is a consequence of e_2140. e_1062 is a consequence of e_2140.e_2255 is a consequence of e_1970 e_2037 is a consequence of e_1970. e_2001 is a consequence of e_2116. e_1867 is a consequence of e_2116. e_2240 is a consequence of e_2140.e_2197 is a consequence of e_2039 e_2083 is a consequence of e_2039. The list of inequalities got extended by: p2 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p15,p13,p12,p6,p5,p4,p2,p16,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p15,p12,p6,p5,p4,p13,p2,p16,p11 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p15,p12,p6,p5,p4,p13,p2,p16,p11 New ordering: q45,q44,q43,q25,q24,q23,q22,q20,q15,q14,q12,q11,q10,q9,q6,q3,q2, q30,p21,p12,p6,p5,p4,p15,p13,p2,p16,p11 Substitution of p6 found in e_1615 : p6=0 leads to a contradiction in : 12 factors in 3 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 150 ms The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q45,q44,q43,q38,q37,q35,q34,q30,q25,q24,q23,q22,q20,q18,q17,q15, q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,p21,p17,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3, p2,p11 New ordering: q45,q44,q43,q38,q37,q35,q34,q30,q25,q24,q23,q22,q20,q18,q17,q15, q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,p21,p17,p16,p15,p14,p13,p12,p8,p6,p5,p4,p3,p2, p7,p11 New level : 1.1.1.1.1.2.1.1.1.2. CRACK is now called with the new equation e_2059 : 0=q30 e_1856,e_617,e_1377,e_1639,e_1609,e_1615,e_1785 are consequences of e_2059 Step 5482: Hot list of urgent steps : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 19 terms e_1969 is a consequence of e_1921. *** Garbage collection starting *** GC 739 4-Oct-2003 18:58:26, 80 ms (0%), 1426906 occupied, 23573043 free Substitution of q30 found in e_2059 : q30=0 Step 5483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 19 terms e_2117 is a consequence of e_1436.e_995,e_1940,e_1817 are consequences of e_2118 e_2119 is a consequence of e_1562. e_2120 is a consequence of e_1026. e_2122 is a consequence of e_968. e_2141 is a consequence of e_2118. e_2148 is a consequence of e_2118. Substitution of q45 by an expression in q43 found in e_1830 : q45=2*q43 Step 5484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 19 terms e_2031 is a consequence of e_2022. e_2246 is a consequence of e_2118. e_2147 is a consequence of e_2118. *** Garbage collection starting *** GC 740 4-Oct-2003 18:58:30, 80 ms (0%), 1497198 occupied, 23502748 free Substitution of q44 by an expression in q43, p17, p7 found in e_1825 : 8*p17*q43 q44=----------- p7 Step 5485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 19 terms e_2267 is a consequence of e_593.e_1271,e_1148,e_1589,e_1442,e_1054,e_993,e_1266 ,e_1429,e_1775 are consequences of e_1084 *** Garbage collection starting *** GC 741 4-Oct-2003 18:58:33, 80 ms (0%), 1523924 occupied, 23476021 free Substitution of q1 by an expression in q2, p17, p7 found in e_1602 : 2*p17*q2 q1=---------- p7 Step 5486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 17 terms e_1773,e_1568,e_1740 are consequences of e_1839 e_1717 is a consequence of e_2323 e_2326 is a consequence of e_2118. e_2326 is a consequence of e_2322. e_2249 is a consequence of e_2322. e_2282 is a consequence of e_2323.e_996 is a consequence of e_2330 e_1577 is a consequence of e_2322. e_1914 is a consequence of e_2322. e_2308 is a consequence of e_2323. e_1950 is a consequence of e_1952. Substitution of q4 found in e_1084 : q4=0 Step 5487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 15 terms e_709,e_377,e_2325,e_1545 are consequences of e_2330 e_2121 is a consequence of e_900. e_2327 is a consequence of e_2330.e_2176 is a consequence of e_2136 e_2331 is a consequence of e_2330. e_2131 is a consequence of e_2124. Substitution of q25 found in e_1839 : q25=0 Step 5488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 14 terms e_2059 is a consequence of e_2118. e_2271 is a consequence of e_2116.e_2284,e_2285,e_2281,e_2275,e_2276,e_2277, e_2278,e_2274 are consequences of e_2283 e_2158 is a consequence of e_2143. e_2296 is a consequence of e_2117. Substitution of q23 found in e_2330 : q23=0 Step 5489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q37 by an expression in q43, p17, p6, p7, p11 found in e_2125 : 11 factors in 3 terms Step 5490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 742 4-Oct-2003 18:58:37, 80 ms (0%), 1517516 occupied, 23482430 free The list of inequalities got extended by: An expression with 30 terms e_2282 is a consequence of e_2143. Substitution of q17 by an expression in q43, p17, p6, p7, p11 found in e_2142 : 11 factors in 3 terms Step 5491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms Substitution of q18 by an expression in q2, p17, p2, p7, p11 found in e_2298 : 12 factors in 3 terms Step 5492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 44 terms The list of inequalities got extended by: An expression with 33 terms e_1969 is a consequence of e_2117. e_2322 is a consequence of e_2323. e_2254 is a consequence of e_2117. e_1965 is a consequence of e_2117. e_2023 is a consequence of e_2117. e_2132 is a consequence of e_2116. *** Garbage collection starting *** GC 743 4-Oct-2003 18:58:40, 80 ms (0%), 1518790 occupied, 23481157 free Substitution of q43 by an expression in q2, p13, p2, p7 found in e_2329 : p13*q2 - p2*q2 q43=---------------- p7 Step 5493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2386 is a consequence of e_2116. Step 5494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2059 is a consequence of e_2116. Step 5495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2271 is a consequence of e_2116. Step 5496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2274 is a consequence of e_2116. Step 5497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2278 is a consequence of e_2116. Step 5498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2277 is a consequence of e_593. Step 5499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2284 is a consequence of e_2116. Step 5502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2158 is a consequence of e_593. Step 5503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2296 is a consequence of e_593. Step 5504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2330 is a consequence of e_2116. Step 5505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2120 is a consequence of e_593. e_2120 is a consequence of e_2143. Step 5507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2141 is a consequence of e_593. Step 5509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_1830 is a consequence of e_2116. Step 5511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms e_2237 is a consequence of e_2116. e_2237 is a consequence of e_2143. Step 5512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms e_2238 is a consequence of e_2116. Step 5513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms e_2239 is a consequence of e_2116. Step 5514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2240 is a consequence of e_593. Step 5515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 11 terms Step 5525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1775 is a consequence of e_593. Step 5526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1429 is a consequence of e_2276. Step 5527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1266 is a consequence of e_2276. Step 5528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_993 is a consequence of e_593. Step 5529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1589 is a consequence of e_2116. Step 5531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1602 is a consequence of e_2116. Step 5533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2276 is a consequence of e_1740 Step 5534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2326 is a consequence of e_1773. Step 5536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2322 is a consequence of e_1773. Step 5539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2121 is a consequence of e_1773. Step 5544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2327 is a consequence of e_1773. Step 5545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 744 4-Oct-2003 18:58:43, 80 ms (0%), 1515502 occupied, 23484441 free shortening by 2 terms Step 5548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2370 is a consequence of e_593. Step 5586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2371 is a consequence of e_593. Step 5587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2372 is a consequence of e_593. Step 5588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2377 is a consequence of e_593. Step 5591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2379 is a consequence of e_593. Step 5593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 5596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2269 is a consequence of e_1773. Step 5597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2166 is a consequence of e_2310. Step 5623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2198 is a consequence of e_1773. Step 5624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2190 is a consequence of e_2118. Step 5625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1429 is a consequence of e_2022. e_1429 is a consequence of e_2118. Step 5630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 745 4-Oct-2003 18:58:47, 110 ms (0%), 1507294 occupied, 23492653 free shortening by 2 terms Step 5664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2140 is a consequence of e_593. e_2140 is a consequence of e_2118. Step 5670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2334 is a consequence of e_2240. Step 5672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_2332 and e_1840. e_1840: 0=(q10 + 2*q14)*p16 is replaced by e_2255: 0=p16*q14 Step 5673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1889 is a consequence of e_1773. Step 5674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1707 is a consequence of e_1773. Step 5676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2264 is a consequence of e_2118. Step 5680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 746 4-Oct-2003 18:58:51, 80 ms (0%), 1504306 occupied, 23495641 free shortening by 4 terms Step 5702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2124 is a consequence of e_2376. Step 5721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2274 is a consequence of e_1773. Step 5723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2380 is a consequence of e_2118. Step 5741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1775,e_2292,e_1773 are consequences of e_1084 Step 5750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_995 is a consequence of e_2118. Step 5751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2172 is a consequence of e_2118. Step 5752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2042 is a consequence of e_1577. Step 5753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1142 is a consequence of e_2118. Step 5758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2143 is a consequence of e_2345 Step 5761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2261 is a consequence of e_2345. Step 5762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2021 is a consequence of e_2022. Step 5763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1989 is a consequence of e_2118. Step 5775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2231 is a consequence of e_2345. Step 5776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2237 is a consequence of e_2118. Step 5781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1809 is a consequence of e_2345. Step 5782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1857 is a consequence of e_2345. Step 5783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2248 is a consequence of e_2118. Step 5784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1863 is a consequence of e_2022. Step 5786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2349 is a consequence of e_2376. e_2349 is a consequence of e_2345. e_2349 is a consequence of e_2340. Step 5790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_1707 is a consequence of e_2118. Step 5791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2034 is a consequence of e_2118. Step 5792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2135 is a consequence of e_2340. Step 5793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2160 is a consequence of e_2340. Step 5794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 34 terms e_2159 is a consequence of e_2376. e_2159 is a consequence of e_2345. e_2159 is a consequence of e_2340. e_1429 is a consequence of e_1084. e_1429 is a consequence of e_2345. e_2332 is a consequence of e_2116. e_2332 is a consequence of e_2345. e_2239 is a consequence of e_2117. e_2239 is a consequence of e_2345. e_1054 is a consequence of e_593. e_1054 is a consequence of e_2345. *** Garbage collection starting *** GC 747 4-Oct-2003 18:58:55, 80 ms (0%), 1498678 occupied, 23501265 free Substitution of q10 by an expression in q2, p17, p13, p2, p7 found in e_2175 : 10 factors in 3 terms Step 5796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2355 is a consequence of e_2345. e_2355 is a consequence of e_1577. Step 5800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2257 is a consequence of e_2345. Step 5801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2352 is a consequence of e_2345. Step 5803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2195 is a consequence of e_2345. Step 5805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2215 is a consequence of e_2118. Step 5808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1949 is a consequence of e_2345. Step 5811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms e_1813 is a consequence of e_2022. Step 5823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 5834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 5836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q10 by an expression in q2, p17, p13, p2, p7 found in e_2175 : 10 factors in 3 terms Step 5841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q10 by an expression in q2, p17, p13, p2, p7 found in e_2175 : 10 factors in 3 terms Step 5843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q10 by an expression in q2, p17, p13, p2, p7 found in e_2175 : 10 factors in 3 terms Step 5845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : A partial substitution has been repeated too often. It will now be made rigorously. Substitution of q10 by an expression in q2, p17, p13, p2, p7 found in e_2175 : 10 factors in 3 terms Step 5846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 748 4-Oct-2003 18:58:59, 80 ms (0%), 1487590 occupied, 23512355 free shortening by 2 terms Step 5862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 749 4-Oct-2003 18:59:03, 80 ms (0%), 1485866 occupied, 23514080 free shortening by 1 term Step 5906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1148,e_2141,e_2255,e_2220,e_1920 are consequences of e_2213 Step 5921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 33 terms e_1965 is a consequence of e_2316. Substitution of q14 found in e_2213 : q14=0 Step 5922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 5952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 750 4-Oct-2003 18:59:07, 80 ms (0%), 1488894 occupied, 23511053 free shortening by 1 term Step 5954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 5959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 5971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 5975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 5980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 5984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 5986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 5987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 5991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 9 terms Step 5992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 5993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 751 4-Oct-2003 18:59:11, 100 ms (0%), 1481760 occupied, 23518185 free shortening by 1 term Step 5996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 5999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 752 4-Oct-2003 18:59:15, 100 ms (0%), 1723237 occupied, 23276599 free *** Garbage collection starting *** GC 753 4-Oct-2003 18:59:19, 80 ms (0%), 1500356 occupied, 23499580 free *** Garbage collection starting *** GC 754 4-Oct-2003 18:59:23, 90 ms (0%), 1771618 occupied, 23228190 free *** Garbage collection starting *** GC 755 4-Oct-2003 18:59:27, 80 ms (0%), 1562779 occupied, 23437101 free *** Garbage collection starting *** GC 756 4-Oct-2003 18:59:30, 100 ms (0%), 1810990 occupied, 23188843 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 757 4-Oct-2003 18:59:33, 80 ms (0%), 1481263 occupied, 23518682 free factorizing e_2117 we get the alternative equations : 0=q2 0=p14 New level : 1.1.1.1.1.2.1.1.1.2.1. CRACK is now called with the new equation e_2459 : 0=q2 e_2165,e_2349,e_2034,e_2195,e_2227,e_2225,e_2224,e_2158,e_2280,e_1872,e_2358, e_2281,e_2135,e_2302,e_2237,e_1956,e_2170,e_2201,e_2287,e_1924,e_2286,e_2307, e_2187,e_2361,e_2385,e_2311,e_2212,e_2314,e_1896,e_2222,e_2334,e_1840,e_1889, e_2169,e_2317,e_2373,e_2181,e_2167,e_1171,e_2209,e_1940,e_2248,e_1831,e_2301, e_2147,e_2293,e_2204,e_1266,e_2347,e_2143,e_2132,e_2299,e_1778,e_2253,e_2211, e_2231,e_2335,e_1925,e_2298,e_1514,e_1196,e_2246,e_2357,e_2197,e_2228,e_2210, e_2140,e_2272,e_2164,e_2121,e_2136,e_2206,e_1674,e_1270,e_1685,e_1914,e_2308, e_2130,e_1237,e_1324,e_2118,e_2022,e_1729,e_1577,e_1753,e_2386,e_2278,e_2377, e_1777,e_2340,e_2345,e_2316,e_2323,e_1838,e_1736,e_2310,e_2376,e_2271,e_2348, e_593,e_2116,e_1084 are consequences of e_2459 Step 6027: Hot list of urgent steps : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: 2*p14 + p16 q22 The lexicographical ordering of unknowns is changed because q22 has to be non-zero, giving q22 a low priority. Old ordering: q38,q35,q34,q24,q22,q20,q15,q12,q11,q9,q6,q3,q2,p21,p17,p16,p15, p14,p13,p12,p8,p6,p5,p4,p3,p2,p7,p11 New ordering: q38,q35,q34,q24,q20,q15,q12,q11,q9,q6,q3,q2,q22,p21,p17,p16,p15, p14,p13,p12,p8,p6,p5,p4,p3,p2,p7,p11 The list of inequalities got extended by: An expression with 17 terms e_2202 is a consequence of e_1808.e_1596,e_2332 are consequences of e_2374 e_2330 is a consequence of e_1808. e_1054 is a consequence of e_1740. e_2353 is a consequence of e_1740. e_2342 is a consequence of e_1808. e_2342 is a consequence of e_2375. e_2249 is a consequence of e_1740. e_1949 is a consequence of e_2374. e_2215 is a consequence of e_1740. e_2177 is a consequence of e_1740. e_2193 is a consequence of e_1740. e_2163 is a consequence of e_2374. e_2146 is a consequence of e_1808. e_2366 is a consequence of e_1808. e_2367 is a consequence of e_1808. e_2367 is a consequence of e_2375. e_2369 is a consequence of e_2374. e_1271 is a consequence of e_1740. e_2251 is a consequence of e_1808. e_1589 is a consequence of e_2374. e_2265 is a consequence of e_2374. e_1931 is a consequence of e_2374. e_2384 is a consequence of e_1808. e_2144 is a consequence of e_1808. e_2262 is a consequence of e_1740. e_1700 is a consequence of e_1808. e_1700 is a consequence of e_2375. e_1687 is a consequence of e_1740. e_1636 is a consequence of e_2374. e_1636 is a consequence of e_2375. e_2266 is a consequence of e_1808. e_2154 is a consequence of e_1808. e_1902 is a consequence of e_1808. e_2296 is a consequence of e_1740. e_1874 is a consequence of e_1808. e_1817 is a consequence of e_1740. e_2025 is a consequence of e_1808. e_2291 is a consequence of e_1808. e_2291 is a consequence of e_2375. e_2370 is a consequence of e_1740. e_2179 is a consequence of e_2320. e_2033 is a consequence of e_1808. e_2303 is a consequence of e_1740. e_2185 is a consequence of e_1740. e_2189 is a consequence of e_1740. e_2124 is a consequence of e_1808. Substitution of q2 found in e_2459 : q2=0 Step 6028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q38,q35,q34,q24,q20,q15,q12,q11,q9,q6,q3,q22,p21,p17,p16,p15,p14, p13,p12,p8,p6,p5,p4,p3,p2,p7,p11 New ordering: q38,q35,q34,q24,q20,q15,q12,q11,q9,q6,q3,q22,p21,p17,p15,p14,p13, p12,p8,p6,p5,p4,p3,p2,p16,p7,p11 The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 16 terms e_2313,e_2139,e_2031 are consequences of e_2059 e_2320 is a consequence of e_2267 e_2120 is a consequence of e_2294. e_2120 is a consequence of e_2375. Substitution of p14 found in e_1808 : p14=0 Step 6029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms Substitution of q9 found in e_2375 : q9=0 Step 6030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 Time: 0 ms Time: 0 ms Time: 130 ms The list of inequalities got extended by: q2 New level : 1.1.1.1.1.2.1.1.1.2.2. CRACK is now called with the new equation e_2459 : 0=p14 e_1808,e_2321,e_2324,e_2240,e_2245 are consequences of e_2459 Step 6031: Hot list of urgent steps : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q38,q35,q34,q24,q22,q20,q15,q12,q11,q9,q6,q3,q2,p21,p17,p16,p15, p14,p13,p12,p8,p6,p5,p4,p3,p2,p7,p11 New ordering: q38,q35,q34,q24,q22,q20,q15,q12,q11,q9,q6,q3,q2,p21,p17,p15,p14, p13,p12,p8,p6,p5,p4,p3,p2,p16,p7,p11 The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 43 terms The list of inequalities got extended by: An expression with 32 terms e_2332 is a consequence of e_2294.e_2375 is a consequence of e_2332 e_2330 is a consequence of e_2376. e_1054 is a consequence of e_2118. e_2353 is a consequence of e_2022. Substitution of p14 found in e_2459 : p14=0 Step 6032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_2231,e_1925,e_2298,e_2206,e_1674,e_1685,e_1237,e_1324,e_2278,e_2377,e_2345, e_1736,e_2310,e_2376,e_2271,e_2374 are consequences of e_2384 e_2144 is a consequence of e_2384. e_1936 is a consequence of e_2384. Substitution of p8 found in e_593 : p8=0 Step 6033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 170 ms The list of inequalities got extended by: q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q45,q44,q43,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22,q20, q18,q17,q15,q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,p21,p17,p16,p15,p14,p13,p12,p8,p7, p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q40,q38,q37,q35,q34,q32,q30,q25,q24,q23,q22,q20,q18, q17,q15,q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,q27,p21,p17,p16,p15,p14,p13,p12,p8,p7, p6,p5,p4,p3,p2,p11 New level : 1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_1867 : 0=p14 e_1744,e_1766,e_1774,e_1049,e_1634,e_900,e_1266,e_1639,e_1808 are consequences of e_1867 Step 6034: Hot list of urgent steps : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q45,q44,q43,q40,q38,q37,q35,q34,q32,q30,q25,q24,q23,q22,q20,q18, q17,q15,q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,q27,p21,p17,p16,p15,p14,p13,p12,p8,p7, p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q40,q38,q37,q35,q34,q32,q30,q25,q24,q23,q22,q20,q18, q17,q15,q14,q12,q11,q10,q9,q6,q4,q3,q2,q1,q27,p21,p17,p15,p14,p13,p12,p8,p7,p6, p5,p4,p3,p2,p16,p11 *** Garbage collection starting *** GC 758 4-Oct-2003 18:59:42, 70 ms (0%), 1369275 occupied, 23630675 free The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 21 terms e_1809,e_905,e_1614 are consequences of e_1717 e_1729 is a consequence of e_1265. e_1577 is a consequence of e_1265. e_1841 is a consequence of e_1265. e_1830 is a consequence of e_1265. e_1825 is a consequence of e_1429. e_1361 is a consequence of e_1265. e_1840 is a consequence of e_1265. e_1785 is a consequence of e_994.e_995,e_1021,e_1562,e_1817,e_1436 are consequences of e_1664 e_1839 is a consequence of e_1664. e_1736 is a consequence of e_1265. e_1084 is a consequence of e_1664. e_1777 is a consequence of e_1265. e_1778 is a consequence of e_1265. e_1835 is a consequence of e_1664. e_1846 is a consequence of e_1664. e_1324 is a consequence of e_1265. e_1142 is a consequence of e_1265. e_1658 is a consequence of e_1664. e_1658 is a consequence of e_1265. Substitution of p14 found in e_1867 : p14=0 Step 6035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 20 terms e_1767 is a consequence of e_1717. e_1921 is a consequence of e_1680. e_1922 is a consequence of e_1717. e_1925 is a consequence of e_1680. e_1633 is a consequence of e_1717. e_1849 is a consequence of e_1717. e_1930 is a consequence of e_1927. e_1931 is a consequence of e_1927. Substitution of p8 found in e_1265 : p8=0 Step 6036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 19 terms e_1945 is a consequence of e_1664. e_1946 is a consequence of e_1680.e_1237,e_1943,e_649 are consequences of e_1947 e_1949 is a consequence of e_1664. e_1950 is a consequence of e_1717. e_1954 is a consequence of e_1269. e_1956 is a consequence of e_1514. e_1961 is a consequence of e_1947. e_1968 is a consequence of e_1947. e_1978 is a consequence of e_1717. Substitution of q4 found in e_1429 : q4=0 Step 6037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 18 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 180 ms *** Garbage collection starting *** GC 759 4-Oct-2003 18:59:48, 60 ms (0%), 1360682 occupied, 23639268 free The list of inequalities got extended by: q28 The lexicographical ordering of unknowns is changed because q28 has to be non-zero, giving q28 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q28,q27,q25,q24,q23, q22,q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,p21,p17,p16,p15 ,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,q28,p21,p17,p16,p15 ,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2,p11 New level : 1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1669 : 0=p14 e_1048,e_1049,e_1575,e_1634,e_900,e_1637,e_1266,e_1639,e_1580 are consequences of e_1669 Step 6038: Hot list of urgent steps : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,q28,p21,p17,p16,p15 ,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,q28,p21,p17,p15,p14 ,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16,p11 The list of inequalities got extended by: q4 The lexicographical ordering of unknowns is changed because q4 has to be non-zero, giving q4 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,q28,p21,p17,p15,p14 ,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q3,q2,q1,q4,q28,p21,p17,p15,p14 ,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16,p11 The list of inequalities got extended by: p14 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q3,q2,q1,q4,q28,p21,p17,p15,p14 ,p13,p12,p8,p7,p6,p5,p4,p3,p2,p16,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q3,q2,q1,q4,q28,p21,p17,p15,p13 ,p12,p8,p7,p6,p5,p4,p3,p2,p14,p16,p11 The list of inequalities got extended by: q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q27,q25,q24,q23,q22, q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q3,q2,q1,q4,q28,p21,p17,p15,p13 ,p12,p8,p7,p6,p5,p4,p3,p2,p14,p16,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q25,q24,q23,q22,q20, q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q3,q2,q1,q27,q4,q28,p21,p17,p15,p13 ,p12,p8,p7,p6,p5,p4,p3,p2,p14,p16,p11 The list of inequalities got extended by: An expression with 25 terms Substitution of p14 found in e_1669 : p14=0 leads to a contradiction in : 0=p14 + 2*p16 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 150 ms The list of inequalities got extended by: p18 The lexicographical ordering of unknowns is changed because p18 has to be non-zero, giving p18 a low priority. Old ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q28,q27,q25,q24,q23, q22,q21,q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,p21,p18,p17 ,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2,p11 New ordering: q45,q44,q43,q42,q40,q38,q37,q35,q34,q32,q30,q28,q27,q25,q24,q23, q22,q21,q20,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q6,q4,q3,q2,q1,p21,p17,p16 ,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2,p18,p11 New level : 1.1.1.1.1.2.2. CRACK is now called with the new equation e_1470 : 0=q21 e_1016,e_23 are consequences of e_1470 Step 6039: Hot list of urgent steps : The list of inequalities got extended by: An expression with 28 terms Substitution of q21 found in e_1470 : q21=0 Step 6040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q30 by an expression in q28, q4 found in e_55 : q30= - q28 + q4 Step 6041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms e_1124 is a consequence of e_1088. *** Garbage collection starting *** GC 760 4-Oct-2003 18:59:52, 80 ms (0%), 1462285 occupied, 23537655 free Substitution of q12 by an expression in q4, p7, p2, p18, p11 found in e_1274 : 8 factors in 2 terms Step 6042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q6 by an expression in q4, p6, p18 found in e_754 : p6*q4 q6=------- p18 Step 6043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q45 by an expression in q43, q4, p14, p18 found in e_1080 : 9 factors in 3 terms Step 6044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 24 terms e_1684 is a consequence of e_1149. Substitution of q2 by an expression in q4, p8, p18 found in e_825 : 10 factors in 3 terms Step 6045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 25 terms *** Garbage collection starting *** GC 761 4-Oct-2003 18:59:56, 110 ms (0%), 1517969 occupied, 23481964 free Substitution of q43 by an expression in q28, q4, p14, p18 found in e_1079 : 8 factors in 3 terms Step 6046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 26 terms Substitution of q42 by an expression in q23, q4, p14, p18 found in e_678 : 8 factors in 3 terms Step 6047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 47 terms The list of inequalities got extended by: An expression with 33 terms *** Garbage collection starting *** GC 762 4-Oct-2003 19:00:00, 90 ms (0%), 1563429 occupied, 23436497 free *** Garbage collection starting *** GC 763 4-Oct-2003 19:00:03, 90 ms (0%), 1612621 occupied, 23387309 free Substitution of q28 by an expression in q27, q1, p8, p18 found in e_1031 : 12 factors in 4 terms Step 6048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q22 by an expression in q27, q23, q1, p7, p6, p4, p18 found in e_946 : 18 factors in 5 terms Step 6049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 764 4-Oct-2003 19:00:06, 110 ms (0%), 1866822 occupied, 23132964 free *** Garbage collection starting *** GC 765 4-Oct-2003 19:00:08, 200 ms (0%), 3203615 occupied, 21793863 free *** Garbage collection starting *** GC 766 4-Oct-2003 19:00:11, 170 ms (0%), 2721346 occupied, 22277779 free *** Garbage collection starting *** GC 767 4-Oct-2003 19:00:13, 120 ms (0%), 2157881 occupied, 22841704 free *** Garbage collection starting *** GC 768 4-Oct-2003 19:00:15, 220 ms (0%), 3357350 occupied, 21639997 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1149 we get the alternative equations : 0=q4 0=p18 + p8 New level : 1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_1998 : 0=q4 e_1086,e_1088,e_1271,e_1594 are consequences of e_1998 Step 6051: Hot list of urgent steps : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 27 terms e_1634 is a consequence of e_1633. e_1637 is a consequence of e_1786. e_1641 is a consequence of e_1638. e_1936 is a consequence of e_1642. e_1951 is a consequence of e_1916.e_1640 is a consequence of e_1956 e_1957 is a consequence of e_1787. e_1971 is a consequence of e_1927. e_1991 is a consequence of e_1786. *** Garbage collection starting *** GC 769 4-Oct-2003 19:00:19, 130 ms (0%), 1724335 occupied, 23275592 free e_2143 is a consequence of e_1786. Substitution of q4 found in e_1998 : q4=0 Step 6052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 770 4-Oct-2003 19:00:22, 110 ms (0%), 1813481 occupied, 23186439 free The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 28 terms e_1636 is a consequence of e_1930. e_1635 is a consequence of e_1930. Substitution of q3 by an expression in q27, q1, p7, p18 found in e_1947 : 10 factors in 3 terms Step 6053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1637 is a consequence of e_1559. Step 6055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1638,e_1937 are consequences of e_2285 Step 6095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2289 is a consequence of e_2285. Step 6097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 771 4-Oct-2003 19:00:26, 110 ms (0%), 1817159 occupied, 23182760 free shortening by 2 terms Step 6101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2146,e_2204 are consequences of e_2329 Step 6130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 36 terms Substitution of q8 by an expression in q24, q23, q1, p14, p12, p4, p11 found in e_2332 : 12 factors in 5 terms Step 6132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 772 4-Oct-2003 19:00:31, 110 ms (0%), 1824725 occupied, 23175193 free --- Algebraic length reduction of equations : shortening by 2 terms Step 6157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1998 is a consequence of e_1923. Step 6197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 773 4-Oct-2003 19:00:34, 150 ms (0%), 2443057 occupied, 22556290 free Eliminate q23 from e_55 and e_594. e_594: 0=(2*q23 + q25)*p2 is replaced by e_2253: 0=p2*q25 Step 6198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 774 4-Oct-2003 19:00:37, 110 ms (0%), 1958794 occupied, 23040971 free *** Garbage collection starting *** GC 775 4-Oct-2003 19:00:40, 210 ms (0%), 3356622 occupied, 21640281 free *** Garbage collection starting *** GC 776 4-Oct-2003 19:00:42, 200 ms (0%), 3190780 occupied, 21806504 free *** Garbage collection starting *** GC 777 4-Oct-2003 19:00:45, 190 ms (0%), 3003845 occupied, 21994893 free *** Garbage collection starting *** GC 778 4-Oct-2003 19:00:48, 160 ms (0%), 2805885 occupied, 22193033 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1633 we get the alternative equations : 0=p8 0=q23 New level : 1.1.1.1.1.2.2.1.1. CRACK is now called with the new equation e_2436 : 0=p8 e_1974,e_1274 are consequences of e_2436 Step 6209: Hot list of urgent steps : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 23 terms e_2348 is a consequence of e_1080 e_1923 is a consequence of e_1637 e_2274 is a consequence of e_1980 e_2038 is a consequence of e_1080. e_2087 is a consequence of e_1637.e_1984,e_1140,e_1560,e_1559,e_1637,e_1980, e_2088 are consequences of e_2055 e_2159 is a consequence of e_2055. e_2313 is a consequence of e_1642. e_2219 is a consequence of e_1642. e_1784 is a consequence of e_2093. e_2206 is a consequence of e_2055.e_1930 is a consequence of e_2315 *** Garbage collection starting *** GC 779 4-Oct-2003 19:00:51, 110 ms (0%), 1863028 occupied, 23136879 free Substitution of p8 found in e_2436 : p8=0 Step 6210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 16 terms e_2315 is a consequence of e_2055. e_2126 is a consequence of e_2055. e_2161 is a consequence of e_2055. e_2229 is a consequence of e_2055. e_2074 is a consequence of e_2055. e_2093 is a consequence of e_2055. e_2035 is a consequence of e_2055. e_2147 is a consequence of e_2055. e_2168 is a consequence of e_2055. e_2212 is a consequence of e_2055. e_2030 is a consequence of e_2055. e_2169 is a consequence of e_2055. e_2273 is a consequence of e_2055. e_2272 is a consequence of e_2055. e_1781 is a consequence of e_2055. e_2268 is a consequence of e_2055. e_2208 is a consequence of e_2055. e_1875 is a consequence of e_2055. e_2187 is a consequence of e_2055. e_2197 is a consequence of e_2055. e_2520 is a consequence of e_2055. e_2321 is a consequence of e_2055. e_2266 is a consequence of e_2055. e_2137 is a consequence of e_2055. e_2017 is a consequence of e_2055. e_2393 is a consequence of e_2055. e_2426 is a consequence of e_2055. e_2403 is a consequence of e_2055. *** Garbage collection starting *** GC 780 4-Oct-2003 19:00:55, 120 ms (0%), 1923120 occupied, 23076784 free e_2464 is a consequence of e_2055. Substitution of q1 found in e_1080 : q1=0 Step 6211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms e_1778 is a consequence of e_594 e_2299 is a consequence of e_2341. e_2252 is a consequence of e_2221. Substitution of q16 found in e_1642 : q16=0 Step 6212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 25 terms e_1277,e_1643 are consequences of e_2230 e_2166 is a consequence of e_2109. e_2232 is a consequence of e_2109. e_2227 is a consequence of e_2109. e_2518 is a consequence of e_2230. e_2225 is a consequence of e_2109. e_2279 is a consequence of e_2109.e_2523 is a consequence of e_1968 *** Garbage collection starting *** GC 781 4-Oct-2003 19:00:58, 120 ms (0%), 1937982 occupied, 23061917 free e_2238 is a consequence of e_1774. e_2317 is a consequence of e_1876. e_2522 is a consequence of e_2207. e_2522 is a consequence of e_1968. e_2537 is a consequence of e_2521. e_2533 is a consequence of e_2521. e_2214 is a consequence of e_1968. e_2267 is a consequence of e_2521. e_2320 is a consequence of e_1968. e_1919 is a consequence of e_2109. e_2527 is a consequence of e_1968. e_2526 is a consequence of e_1968. e_2526 is a consequence of e_1558. e_2525 is a consequence of e_2331. e_2525 is a consequence of e_1968. e_2263 is a consequence of e_1968. e_2288 is a consequence of e_1968. e_2359 is a consequence of e_2109. e_2530 is a consequence of e_2230. e_2328 is a consequence of e_2109. e_1095 is a consequence of e_1774. e_2366 is a consequence of e_2226. e_2178 is a consequence of e_1632. e_1959 is a consequence of e_2230. e_2404 is a consequence of e_2109. e_2405 is a consequence of e_2109. e_2414 is a consequence of e_1124. e_2540 is a consequence of e_1968. e_2539 is a consequence of e_2069. e_2539 is a consequence of e_1968. e_2372 is a consequence of e_2109. e_2392 is a consequence of e_2230.e_2411 is a consequence of e_2401 e_2327 is a consequence of e_1774. e_2439 is a consequence of e_2109. e_2550 is a consequence of e_2521. e_2350 is a consequence of e_1968. e_2399 is a consequence of e_2002. e_2542 is a consequence of e_1968. e_2409 is a consequence of e_2314. e_2364 is a consequence of e_2519.e_2365,e_2420 are consequences of e_2468 e_2559 is a consequence of e_1968. e_2437 is a consequence of e_2002. e_2441 is a consequence of e_2109. e_2402 is a consequence of e_2002. e_2419 is a consequence of e_2002. e_2563 is a consequence of e_2544. e_2458 is a consequence of e_2002. e_2467 is a consequence of e_1968. e_2558 is a consequence of e_1968. e_2557 is a consequence of e_1968.e_2551 is a consequence of e_2417 e_2564 is a consequence of e_1968. e_2461 is a consequence of e_2109. e_2495 is a consequence of e_2440. e_2566 is a consequence of e_1968. e_2512 is a consequence of e_2468. Substitution of q27 found in e_2055 : q27=0 Step 6213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_2501 is a consequence of e_2468. e_2391 is a consequence of e_2109. e_2471 is a consequence of e_2468. e_2460 is a consequence of e_2468. Substitution of q40 found in e_2198 : q40=0 Step 6214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms *** Garbage collection starting *** GC 782 4-Oct-2003 19:01:02, 120 ms (0%), 1902532 occupied, 23097376 free Substitution of q18 found in e_594 : q18=0 Step 6215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms e_2401 is a consequence of e_2226. e_2316 is a consequence of e_2230. e_2360 is a consequence of e_2221. e_2383 is a consequence of e_1062. e_2389 is a consequence of e_1883. e_2388 is a consequence of e_2395. e_2556 is a consequence of e_2417. e_2429 is a consequence of e_2417. Substitution of q13 found in e_2341 : q13=0 Step 6216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_2340 is a consequence of e_2468. e_2479 is a consequence of e_2109. e_2473 is a consequence of e_2506.e_2457 is a consequence of e_2416 Substitution of q37 found in e_2226 : q37=0 Step 6217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms e_2310 is a consequence of e_2468.e_1916 is a consequence of e_2450 e_2432 is a consequence of e_2353 e_2192 is a consequence of e_2230. e_1062 is a consequence of e_2353. e_2493 is a consequence of e_2506.e_2427 is a consequence of e_2381 e_2377 is a consequence of e_2395. Substitution of q17 found in e_2221 : q17=0 Step 6218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 16 terms e_2330 is a consequence of e_2431. e_2400 is a consequence of e_2431. e_2560 is a consequence of e_2450. e_2367 is a consequence of e_1774. e_2531 is a consequence of e_2450. e_2314 is a consequence of e_2109. e_2250 is a consequence of e_1774. e_2355 is a consequence of e_2002. e_2395 is a consequence of e_1968. e_2547 is a consequence of e_2450. e_2421 is a consequence of e_2002. e_2363 is a consequence of e_1968. e_2412 is a consequence of e_2207. e_2412 is a consequence of e_1968. e_2553 is a consequence of e_1968. e_2544 is a consequence of e_1968. e_2529 is a consequence of e_2342. e_2529 is a consequence of e_1968. e_2413 is a consequence of e_2459. e_2532 is a consequence of e_2331. e_2532 is a consequence of e_1968. e_2428 is a consequence of e_2353. e_2442 is a consequence of e_2109. e_2417 is a consequence of e_2069. e_2417 is a consequence of e_1968. e_2548 is a consequence of e_2069. e_2548 is a consequence of e_1968. e_2541 is a consequence of e_2342. e_2541 is a consequence of e_1968. e_2561 is a consequence of e_1940. e_2561 is a consequence of e_1968. e_2562 is a consequence of e_1968. e_2555 is a consequence of e_1968. e_1633 is a consequence of e_2342. e_2375 is a consequence of e_2416. e_2577 is a consequence of e_1968. e_2487 is a consequence of e_2069. e_2487 is a consequence of e_2207. e_2487 is a consequence of e_1968. e_2578 is a consequence of e_2069. e_2578 is a consequence of e_1968. e_2578 is a consequence of e_1558. e_2574 is a consequence of e_2069. e_2574 is a consequence of e_1968. Substitution of q24 found in e_2230 : q24=0 Step 6219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 6 terms e_1561,e_2253,e_2188,e_2431,e_2362 are consequences of e_1883 e_2038 is a consequence of e_1876. e_2351 is a consequence of e_1883. e_2361 is a consequence of e_1774. e_2370 is a consequence of e_2371. e_2368 is a consequence of e_2069. e_1898 is a consequence of e_2371. e_1559 is a consequence of e_1883. e_2477 is a consequence of e_2440. e_2352 is a consequence of e_1883. e_2397 is a consequence of e_1124. e_2046 is a consequence of e_2371. e_2324 is a consequence of e_1883. e_2265 is a consequence of e_1968. e_2354 is a consequence of e_2069. e_2378 is a consequence of e_1968. *** Garbage collection starting *** GC 783 4-Oct-2003 19:01:06, 110 ms (0%), 1875460 occupied, 23124448 free e_2408 is a consequence of e_2353. e_2398 is a consequence of e_2468. e_2325 is a consequence of e_2002. e_2349 is a consequence of e_2207. e_2349 is a consequence of e_1968. e_2305 is a consequence of e_2237. e_2305 is a consequence of e_1968. e_2357 is a consequence of e_2466. e_2356 is a consequence of e_2440. Substitution of q44 found in e_2109 : q44=0 Step 6220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_996,e_1639,e_2246 are consequences of e_2264 e_2452 is a consequence of e_2466. e_2451 is a consequence of e_2466. e_2496 is a consequence of e_2466. e_2447 is a consequence of e_2468. e_2517 is a consequence of e_2468. e_2508 is a consequence of e_2468. e_2475 is a consequence of e_2468. e_2491 is a consequence of e_2466. Substitution of q35 found in e_2440 : q35=0 Step 6221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0071*q23 + g0075*q38 + g0081*q32 e_2381 is a consequence of e_2353. e_2484 is a consequence of e_2353. e_2373 is a consequence of e_2468. e_2423 is a consequence of e_2468. e_2516 is a consequence of e_2468. e_2438 is a consequence of e_2468. e_2410 is a consequence of e_1883. Substitution of q34 found in e_2466 : q34=0 Step 6222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0071*q23 + g0081*q32 e_2476 is a consequence of e_2545. e_2497 is a consequence of e_2545. e_2470 is a consequence of e_2353. e_2483 is a consequence of e_2450. e_2448 is a consequence of e_2425. e_2478 is a consequence of e_2425. e_2506 is a consequence of e_2450. e_2424 is a consequence of e_2450. e_2515 is a consequence of e_2353. e_2480 is a consequence of e_2554. e_2459 is a consequence of e_1883. e_1998 is a consequence of e_1883. e_2486 is a consequence of e_2450. e_2492 is a consequence of e_2450. Substitution of q38 found in e_2468 : q38=0 Step 6223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms e_2505 is a consequence of e_2425. e_2554 is a consequence of e_2425. e_1560 is a consequence of e_2425. e_2565 is a consequence of e_1968. e_1140 is a consequence of e_2425. Substitution of q15 found in e_2450 : q15=0 Step 6224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q23 The lexicographical ordering of unknowns is changed because q23 has to be non-zero, giving q23 a low priority. Old ordering: q32,q25,q23,q22,q20,q14,q11,q10,q9,q8,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p4,p3,p2,p18,p11 New ordering: q32,q25,q22,q20,q14,q11,q10,q9,q8,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p4,p3,p2,p18,p11 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q32,q25,q22,q20,q14,q11,q10,q9,q8,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p4,p3,p2,p18,p11 New ordering: q32,q25,q22,q20,q14,q11,q10,q9,q8,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p3,p2,p4,p18,p11 The list of inequalities got extended by: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q32,q25,q22,q20,q14,q11,q10,q9,q8,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p3,p2,p4,p18,p11 New ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p3,p2,p4,p18,p11 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p15,p14,p13,p12, p7,p6,p5,p3,p2,p4,p18,p11 New ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7, p6,p5,p3,p2,p15,p4,p18,p11 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7, p6,p5,p3,p2,p15,p4,p18,p11 New ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7, p6,p3,p2,p5,p15,p4,p18,p11 The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7, p6,p3,p2,p5,p15,p4,p18,p11 New ordering: q32,q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7, p6,p2,p3,p5,p15,p4,p18,p11 e_2453 is a consequence of e_2146.e_2382 is a consequence of e_2422 e_2463 is a consequence of e_2425. e_2463 is a consequence of e_2207. e_2481 is a consequence of e_2545. e_2472 is a consequence of e_2425. e_2472 is a consequence of e_2207.e_2454 is a consequence of e_2462 e_2511 is a consequence of e_2462. e_2511 is a consequence of e_2207.e_2502 is a consequence of e_2416 e_1923 is a consequence of e_2598. e_1923 is a consequence of e_2237. e_1274 is a consequence of e_2207. e_2513 is a consequence of e_2207. e_2445 is a consequence of e_2207. e_2500 is a consequence of e_2237. e_2500 is a consequence of e_2069. e_2500 is a consequence of e_1968. e_2509 is a consequence of e_2237. e_2494 is a consequence of e_2207. e_2430 is a consequence of e_2207. e_2499 is a consequence of e_2207. Substitution of q32 found in e_2353 : q32=0 Step 6225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms e_2489 is a consequence of e_2069. e_2489 is a consequence of e_1968. e_2507 is a consequence of e_2069. e_2507 is a consequence of e_1968. e_2490 is a consequence of e_2069. e_2490 is a consequence of e_1968. e_2588 is a consequence of e_2069. e_2593 is a consequence of e_2069. e_2596 is a consequence of e_2069. e_2591 is a consequence of e_2069. Substitution of p2 found in e_55 : p2=0 Step 6226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 5 terms e_1968 is a consequence of e_2521. e_2002 is a consequence of e_2521. e_1124 is a consequence of e_2521. e_2376 is a consequence of e_2521. e_2313 is a consequence of e_2598. e_2091 is a consequence of e_2521. e_2380 is a consequence of e_2521. e_1978 is a consequence of e_2521. e_2379 is a consequence of e_2521. e_1927 is a consequence of e_2521. e_2219 is a consequence of e_2521. The list of inequalities got extended by: p14 p6 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p14,p13,p12,p7,p6,p3 ,p5,p15,p4,p18,p11 New ordering: q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p13,p12,p7,p14,p6,p3 ,p5,p15,p4,p18,p11 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p17,p16,p13,p12,p7,p14,p6,p3 ,p5,p15,p4,p18,p11 New ordering: q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p16,p13,p12,p7,p17,p14,p6,p3 ,p5,p15,p4,p18,p11 The list of inequalities got extended by: q22 The lexicographical ordering of unknowns is changed because q22 has to be non-zero, giving q22 a low priority. Old ordering: q22,q20,q14,q11,q10,q9,q8,q25,q23,p21,p16,p13,p12,p7,p17,p14,p6,p3 ,p5,p15,p4,p18,p11 New ordering: q20,q14,q11,q10,q9,q8,q22,q25,q23,p21,p16,p13,p12,p7,p17,p14,p6,p3 ,p5,p15,p4,p18,p11 e_2504 is a consequence of e_2069. e_2394 is a consequence of e_2462. e_2387 is a consequence of e_2545. Substitution of p7 found in e_1774 : p7=0 Step 6227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p3=0 because of the non-vanishing expression: p3 The list of inequalities got extended by: An expression with 4 terms Time: 0 ms Time: 0 ms Time: 180 ms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q1,p21,p17,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3,p2, p18,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q1,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2,p8, p18,p11 New level : 1.1.1.1.1.2.2.1.2. CRACK is now called with the new equation e_2436 : 0=q23 e_709,e_377,e_1558,e_1124,e_55 are consequences of e_2436 Step 6228: Hot list of urgent steps : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 27 terms e_2038 is a consequence of e_1080. e_2055 is a consequence of e_2087. e_2035 is a consequence of e_2088. e_2074 is a consequence of e_2087. e_2212 is a consequence of e_2087. e_2161 is a consequence of e_2087. e_2313 is a consequence of e_2285. e_2198 is a consequence of e_2285. e_2272 is a consequence of e_2087. e_2219 is a consequence of e_2285. *** Garbage collection starting *** GC 784 4-Oct-2003 19:01:13, 70 ms (0%), 1409155 occupied, 23590791 free e_2109 is a consequence of e_2285. e_1784 is a consequence of e_2285. e_2166 is a consequence of e_2329. e_2166 is a consequence of e_2285. e_2206 is a consequence of e_2087. e_2221 is a consequence of e_1637. e_2225 is a consequence of e_1637. e_2230 is a consequence of e_2087. e_2250 is a consequence of e_2285. Substitution of q23 found in e_2436 : q23=0 Step 6229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 27 terms e_1558 is a consequence of e_2088. *** Garbage collection starting *** GC 785 4-Oct-2003 19:01:16, 90 ms (0%), 1496665 occupied, 23503279 free Substitution of q25 by an expression in q1, p14, p8 found in e_1636 : 1 ---*p14*q1 6 q25=------------ p8 Step 6230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q44 by an expression in q27, p14, p8, p18 found in e_1924 : 13 factors in 3 terms Step 6231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms Substitution of q10 by an expression in q18, q1, p16, p14, p5, p8, p11 found in e_1920 : 13 factors in 3 terms Step 6232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 40 terms Substitution of q32 by an expression in q16, q1, p14, p3, p8, p11 found in e_1918 : 11 factors in 3 terms Step 6233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q8 by an expression in q24, q1, p14, p12, p11 found in e_2093 : 7 factors in 3 terms Step 6234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q22 by an expression in q27, q1, p4, p18 found in e_2126 : 10 factors in 3 terms Step 6235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 786 4-Oct-2003 19:01:19, 80 ms (0%), 1537977 occupied, 23461964 free --- Algebraic length reduction of equations : shortening by 1 term Step 6236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2212 is a consequence of e_2087. Step 6239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2161 is a consequence of e_2087. Step 6240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q32 by an expression in q16, q1, p14, p3, p8, p11 found in e_1918 : 11 factors in 3 terms Step 6306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2555 is a consequence of e_1637. Step 6310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2556 is a consequence of e_1637. Step 6311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2562 is a consequence of e_1637. Step 6316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2038 is a consequence of e_1637. Step 6317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2248 is a consequence of e_2285. Step 6320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 787 4-Oct-2003 19:01:23, 90 ms (0%), 1536479 occupied, 23463461 free shortening by 3 terms Step 6350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2371 is a consequence of e_1637. Step 6360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q32 by an expression in q16, q1, p14, p3, p8, p11 found in e_1918 : 11 factors in 3 terms Step 6417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 6418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q32 by an expression in q16, q1, p14, p3, p8, p11 found in e_1918 : 11 factors in 3 terms Step 6420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q32 by an expression in q16, q1, p14, p3, p8, p11 found in e_1918 : 11 factors in 3 terms Step 6422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 6423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 6424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2481 is a consequence of e_2071 Step 6427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 788 4-Oct-2003 19:01:27, 80 ms (0%), 1545983 occupied, 23453956 free shortening by 1 term Step 6463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2186 is a consequence of e_2071. Step 6472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2153 is a consequence of e_1637. Step 6474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2403 is a consequence of e_1637. Step 6475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by -1 terms Step 6492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2444 is a consequence of e_1637. Step 6514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2561 is a consequence of e_2087. Step 6517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2364 is a consequence of e_1637. Step 6519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1784 is a consequence of e_1637. Step 6520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2519 is a consequence of e_1637. Step 6521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms Substitution of q11 by an expression in q24, q9, p15, p13, p11 found in e_1920 : 12 factors in 5 terms Step 6523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2449 is a consequence of e_2524. Step 6531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 34 terms *** Garbage collection starting *** GC 789 4-Oct-2003 19:01:30, 90 ms (0%), 1552017 occupied, 23447922 free Substitution of q9 by an expression in q24, p15, p13, p3, p11 found in e_2482 : 18 factors in 5 terms Step 6533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2129 is a consequence of e_2104. Step 6534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2493 is a consequence of e_2104. Step 6535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2416 is a consequence of e_1637. Step 6537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2385 is a consequence of e_1637. Step 6539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2556 is a consequence of e_2087. Step 6543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2552 is a consequence of e_2087. Step 6547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2127 is a consequence of e_2087. Step 6552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2403 is a consequence of e_2489. Step 6553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2541 is a consequence of e_2285. Step 6555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2523 is a consequence of e_2285. Step 6556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2530 is a consequence of e_2285. Step 6557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2258 is a consequence of e_2285. Step 6558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2137,e_2222 are consequences of e_2532 Step 6568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2124 is a consequence of e_2285. Step 6578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 790 4-Oct-2003 19:01:35, 90 ms (0%), 1541467 occupied, 23458471 free shortening by 4 terms Step 6591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2456 is a consequence of e_2532. Step 6592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 6603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 6604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 6613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 6624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 14 terms Step 6631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 12 terms Step 6632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 14 terms Step 6641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 14 terms Step 6642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q9 by an expression in q24, p15, p13, p3, p11 found in e_2482 : 18 factors in 5 terms Step 6647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q11 by an expression in q24, p15, p13, p3, p11 found in e_1920 : 18 factors in 5 terms Step 6648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q9 by an expression in q24, p15, p13, p3, p11 found in e_2482 : 18 factors in 5 terms Step 6650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q11 by an expression in q24, p15, p13, p3, p11 found in e_1920 : 18 factors in 5 terms Step 6652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 12 terms Step 6653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 10 terms Step 6654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q9 by an expression in q24, p15, p13, p3, p11 found in e_2482 : 18 factors in 5 terms Step 6655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : A partial substitution has been repeated too often. It will now be made rigorously. Substitution of q9 by an expression in q24, p15, p13, p3, p11 found in e_2482 : 18 factors in 5 terms Step 6656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 791 4-Oct-2003 19:01:39, 80 ms (0%), 1530629 occupied, 23469310 free shortening by 10 terms Step 6658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 6659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1631 is a consequence of e_2285. Step 6660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q35 from e_2221 and e_2200. e_2221: 0=(q34 + q35)*p21 is replaced by e_2125: 0=p21*q34 Step 6669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2451 is a consequence of e_2175. Step 6670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 792 4-Oct-2003 19:01:42, 130 ms (0%), 1662527 occupied, 23337326 free Eliminate q34 from e_2125 and e_2200. e_2200: 0=(9*q34 + 8*q35)*p21 is replaced by e_2481: 0=p21*q35 Step 6672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 793 4-Oct-2003 19:01:46, 200 ms (0%), 2323370 occupied, 22674744 free *** Garbage collection starting *** GC 794 4-Oct-2003 19:01:49, 130 ms (0%), 2186132 occupied, 22811936 free *** Garbage collection starting *** GC 795 4-Oct-2003 19:01:52, 160 ms (0%), 2038048 occupied, 22959919 free *** Garbage collection starting *** GC 796 4-Oct-2003 19:01:55, 100 ms (0%), 1884012 occupied, 23113843 free *** Garbage collection starting *** GC 797 4-Oct-2003 19:01:58, 110 ms (0%), 1729227 occupied, 23270605 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2348 we get the alternative equations : 0=q1 0=p16 New level : 1.1.1.1.1.2.2.1.2.1. CRACK is now called with the new equation e_2633 : 0=q1 e_1561,e_1274,e_1470,e_1124,e_377,e_2253,e_2423,e_2088,e_2553 are consequences of e_2633 Step 6675: Hot list of urgent steps : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 29 terms e_1923,e_2249 are consequences of e_2296 e_2035 is a consequence of e_2296.e_2536,e_2093,e_2426,e_2186 are consequences of e_2302 e_2311 is a consequence of e_2546. e_2451 is a consequence of e_1633. e_2346 is a consequence of e_1140.e_1050,e_2190,e_2274 are consequences of e_1844 e_1277 is a consequence of e_1560. e_2392 is a consequence of e_1633. e_2440 is a consequence of e_2302. e_2496 is a consequence of e_1844. e_2495 is a consequence of e_1844. e_2378 is a consequence of e_2176. e_2162 is a consequence of e_2176. e_2402 is a consequence of e_1844. e_2329 is a consequence of e_1633. e_2329 is a consequence of e_1844. e_2055 is a consequence of e_2176. e_2227 is a consequence of e_2219. *** Garbage collection starting *** GC 798 4-Oct-2003 19:02:01, 80 ms (0%), 1548092 occupied, 23451840 free Substitution of q1 found in e_2633 : q1=0 Step 6676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 30 terms Substitution of q38 by an expression in q37, q18 found in e_2397 : q38=q18 - q37 Step 6677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 799 4-Oct-2003 19:02:04, 90 ms (0%), 1618386 occupied, 23381540 free The list of inequalities got extended by: An expression with 31 terms e_2733 is a consequence of e_1637. e_2733 is a consequence of e_2302. e_2734 is a consequence of e_2302. e_2739 is a consequence of e_2302. Substitution of q35 by an expression in q27, p14, p8, p18 found in e_2435 : 13 factors in 3 terms Step 6678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms Substitution of q15 by an expression in q27, q24, p17, p7, p2, p18, p11 found in e_2228 : 12 factors in 3 terms Step 6679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms e_2346 is a consequence of e_2071. e_2346 is a consequence of e_2176. e_2274 is a consequence of e_1637. e_2274 is a consequence of e_2176. e_2630 is a consequence of e_2176. Substitution of q34 by an expression in q27, p14, p8, p18 found in e_2625 : 12 factors in 3 terms Step 6680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 33 terms *** Garbage collection starting *** GC 800 4-Oct-2003 19:02:08, 90 ms (0%), 1640370 occupied, 23359554 free Substitution of q16 by an expression in q13, p8, p18 found in e_2487 : 10 factors in 3 terms Step 6681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms e_2578 is a consequence of e_2219. Substitution of q37 by an expression in q27, p8, p18 found in e_2273 : 10 factors in 3 terms Step 6682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 35 terms e_2515,e_2456,e_2251,e_2483,e_2272,e_2038,e_2170,e_2219,e_2176,e_2380 are consequences of e_2364 Substitution of q40 by an expression in q27 found in e_1996 : q40=q27 Step 6683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 34 terms e_2705 is a consequence of e_2071. e_2705 is a consequence of e_1559. e_2705 is a consequence of e_2364. e_2687 is a consequence of e_2364. e_2688 is a consequence of e_2364. e_2691 is a consequence of e_2364. e_2662 is a consequence of e_2364. e_2577 is a consequence of e_2364. e_2696 is a consequence of e_2594. e_2694 is a consequence of e_2602. *** Garbage collection starting *** GC 801 4-Oct-2003 19:02:11, 90 ms (0%), 1631654 occupied, 23368275 free Substitution of q18 by an expression in q27, p8, p18 found in e_2279 : 8 factors in 3 terms Step 6684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2760 is a consequence of e_1633. Step 6685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2630 is a consequence of e_1643. Step 6687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q15 by an expression in q24, p17, p11 found in e_2686 : 6*p17*q24 q15=----------- p11 Step 6692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2578 is a consequence of e_1633. Step 6693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2273 is a consequence of e_1633. Step 6694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2380 is a consequence of e_1844. Step 6695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2170 is a consequence of e_1633. Step 6697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2397 is a consequence of e_1844. Step 6701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2705 is a consequence of e_1844. Step 6702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2687 is a consequence of e_2227. Step 6703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 30 terms Substitution of q20 by an expression in q24, p17, p11 found in e_2706 : 2*p17*q24 q20=----------- p11 Step 6708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms e_2688 is a consequence of e_2708 Step 6709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2710 is a consequence of e_1633. Step 6710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2711 is a consequence of e_1633. Step 6711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms e_2715 is a consequence of e_2296. e_2715 is a consequence of e_1633. Step 6713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2716 is a consequence of e_2296. Step 6714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2717 is a consequence of e_55. Step 6715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2718 is a consequence of e_2296. Step 6716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 6720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 6732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 802 4-Oct-2003 19:02:14, 90 ms (0%), 1622598 occupied, 23377327 free --- Algebraic length reduction of equations : shortening by 7 terms Step 6733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 6744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2444 is a consequence of e_1633. Step 6756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 46 terms The list of inequalities got extended by: An expression with 18 terms e_2402 is a consequence of e_1637. e_2530 is a consequence of e_2071. e_2519 is a consequence of e_1633. e_2430 is a consequence of e_1844. e_2739 is a consequence of e_2296. Substitution of q24 by an expression in q27, p3, p8, p18 found in e_2589 : 12 factors in 3 terms Step 6760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2507 is a consequence of e_2708. Step 6761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q34,q27,q24,q17,q14,q13,q11,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5, p4,p3,p2,p8,p18,p11 New ordering: q34,q24,q17,q14,q13,q11,q27,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5, p4,p3,p2,p8,p18,p11 *** Garbage collection starting *** GC 803 4-Oct-2003 19:02:18, 90 ms (0%), 1631876 occupied, 23368054 free The list of inequalities got extended by: An expression with 48 terms e_2077 is a consequence of e_2364. e_2496 is a consequence of e_2364. e_2440 is a consequence of e_1637. e_2440 is a consequence of e_2364. e_2392 is a consequence of e_2071. e_2392 is a consequence of e_2364. e_2559 is a consequence of e_2364. e_2488 is a consequence of e_2364. e_2513 is a consequence of e_2364. e_2253 is a consequence of e_2364. Substitution of q13 by an expression in q27, p3, p8, p18, p11 found in e_2515 : 11 factors in 3 terms Step 6764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0038*p18 + g0040*p14 The list of inequalities got extended by: An expression with 46 terms e_2394 is a consequence of e_2364. e_2562 is a consequence of e_2364. e_2345 is a consequence of e_2302. e_2190 is a consequence of e_2364. e_2241 is a consequence of e_2364. e_2752 is a consequence of e_2678. *** Garbage collection starting *** GC 804 4-Oct-2003 19:02:21, 90 ms (0%), 1617974 occupied, 23381950 free Substitution of p16 found in e_1559 : p16=0 Step 6765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 44 terms e_2689 is a consequence of e_2071.e_2542 is a consequence of e_2689 e_2702 is a consequence of e_2364. e_2690 is a consequence of e_2302. e_2697 is a consequence of e_2302. e_2607 is a consequence of e_2364. Substitution of p21 found in e_1637 : p21=0 Step 6766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 42 terms e_2154 is a consequence of e_2493. e_2693 is a consequence of e_2302. e_2621 is a consequence of e_2364. Substitution of p12 found in e_2071 : p12=0 Step 6767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 39 terms e_2221 is a consequence of e_2346 e_2564,e_2455 are consequences of e_2046 e_2162,e_2738,e_2618,e_2737,e_2728,e_2609,e_2723,e_2732,e_2685,e_2550,e_2686, e_1561,e_2533,e_2189,e_2495,e_2524,e_2493,e_2055,e_2413,e_2708,e_2132,e_2251 are consequences of e_1631 e_2577 is a consequence of e_1631. e_2577 is a consequence of e_2364. e_2329 is a consequence of e_1631. e_2487 is a consequence of e_2046. e_2478 is a consequence of e_1631. e_2111 is a consequence of e_2046. e_2111 is a consequence of e_2364. e_2393 is a consequence of e_1631. e_2393 is a consequence of e_2364. e_2415 is a consequence of e_2046. e_2415 is a consequence of e_1844. e_2581 is a consequence of e_1631. e_2420 is a consequence of e_1631. e_2497 is a consequence of e_1631. e_2497 is a consequence of e_1844. e_2386 is a consequence of e_1631. e_2386 is a consequence of e_1844. e_2590 is a consequence of e_2364. e_2416 is a consequence of e_1631. e_2498 is a consequence of e_1631. e_2712 is a consequence of e_1631. e_2316 is a consequence of e_1631. e_2408 is a consequence of e_1631. e_2512 is a consequence of e_1631. e_2552 is a consequence of e_1631. e_2240 is a consequence of e_1631. e_2642 is a consequence of e_1631. e_2584 is a consequence of e_1631. e_1979 is a consequence of e_1631. e_2563 is a consequence of e_1631. e_1470 is a consequence of e_1631. e_2620 is a consequence of e_1631. e_2640 is a consequence of e_1631. e_2734 is a consequence of e_2296. e_2727 is a consequence of e_1631. e_2663 is a consequence of e_1631. e_2741 is a consequence of e_1631. e_2751 is a consequence of e_1631. e_2753 is a consequence of e_1631. Substitution of p4 found in e_1633 : p4=0 Step 6768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 37 terms e_1942 is a consequence of e_1560 e_2616 is a consequence of e_1631. e_2565 is a consequence of e_1844. e_2588 is a consequence of e_1844. e_2722 is a consequence of e_2200. e_2722 is a consequence of e_1631. e_2724 is a consequence of e_2364. e_2721 is a consequence of e_1631. e_2721 is a consequence of e_2364. e_2725 is a consequence of e_2200. e_2725 is a consequence of e_1631. e_2730 is a consequence of e_2364. e_2604 is a consequence of e_1631. e_2604 is a consequence of e_2364. e_2729 is a consequence of e_1631. e_2750 is a consequence of e_2200. e_2750 is a consequence of e_1631. e_2733 is a consequence of e_1631. e_2733 is a consequence of e_2364. Substitution of p7 found in e_2296 : p7=0 Step 6769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 35 terms e_2567 is a consequence of e_1631. e_2269 is a consequence of e_1631. e_2314 is a consequence of e_1631. e_2514 is a consequence of e_2302.e_2605 is a consequence of e_2641 e_2531 is a consequence of e_1631. e_2746 is a consequence of e_1631. e_2651 is a consequence of e_1631. e_1274 is a consequence of e_1631. e_2742 is a consequence of e_1631. e_2659 is a consequence of e_1631. e_2758 is a consequence of e_1631. Substitution of p2 found in e_2346 : p2=0 Step 6770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0027*p11 + g0031*p6 + g0034*p3 e_2267 is a consequence of e_1631. e_2228 is a consequence of e_1631. e_2639 is a consequence of e_2218. e_2615 is a consequence of e_1631. *** Garbage collection starting *** GC 805 4-Oct-2003 19:02:24, 90 ms (0%), 1569892 occupied, 23430038 free e_2759 is a consequence of e_1631. e_2653 is a consequence of e_1631. Substitution of p5 found in e_2046 : p5=0 Step 6771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: g0027*p11 + g0031*p6 e_2570,e_2423,e_2692,e_2244 are consequences of e_1140 Substitution of p3 found in e_1631 : p3=0 leads to a contradiction in : 10 factors in 3 terms Time: 0 ms Time: 0 ms Time: 120 ms The list of inequalities got extended by: q1 New level : 1.1.1.1.1.2.2.1.2.2. CRACK is now called with the new equation e_2633 : 0=p16 e_2489,e_1559 are consequences of e_2633 Step 6772: Hot list of urgent steps : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: g0038*p18 + g0040*p14 e_2038 is a consequence of e_2285. Substitution of p16 found in e_2633 : p16=0 Step 6773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_2541 is a consequence of e_2553. e_1962 is a consequence of e_2481. e_1962 is a consequence of e_2553. e_2313 is a consequence of e_2553. Substitution of p12 found in e_2088 : p12=0 Step 6774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 30 terms e_2149 is a consequence of e_1124. e_2149 is a consequence of e_2231. Substitution of p21 found in e_2553 : p21=0 Step 6775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: p18 The list of inequalities got extended by: 3*g0038*p8 - g0040*p14 The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 30 terms e_2179,e_2127,e_2212,e_2204,e_2433,e_2470,e_1308,e_2491,e_2544,e_2345,e_2329, e_2463,e_2468,e_2445,e_1558,e_1636,e_2184,e_2534,e_2540,e_2190,e_2111,e_2189, e_2170,e_2058,e_1945,e_2174,e_2124,e_2311,e_2388,e_2346,e_2143,e_2439,e_1974, e_2292,e_2290,e_1926,e_2293,e_1969,e_2546,e_1844,e_2471,e_2449,e_2250,e_2282, e_2285,e_754,e_1941,e_2291,e_2198,e_2536,e_2231,e_1631,e_2261,e_2093,e_2221, e_2505,e_2426,e_2186,e_2274,e_2280,e_1561,e_1124,e_377,e_2253,e_2423,e_1633, e_2035 are consequences of e_1274 e_1923 is a consequence of e_2530 e_2507 is a consequence of e_1930. e_1996 is a consequence of e_2530. e_2342 is a consequence of e_2159. e_2229 is a consequence of e_2087. The list of inequalities got extended by: q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q40,q38,q37,q35,q34,q27,q24,q20,q18,q17,q16,q15,q14,q13,q11,q1,p17 ,p15,p14,p13,p7,p6,p5,p4,p3,p2,p8,p18,p11 New ordering: q40,q38,q37,q35,q34,q24,q20,q18,q17,q16,q15,q14,q13,q11,q27,q1,p17 ,p15,p14,p13,p7,p6,p5,p4,p3,p2,p8,p18,p11 e_1959,e_2350,e_2252,e_2242,e_1918,e_1935,e_2474,e_2226,e_2267,e_2159,e_2069, e_2555,e_2506,e_2400,e_2279,e_2237,e_1930,e_2087 are consequences of e_1979 e_1778 is a consequence of e_2564 e_1927 is a consequence of e_1979. e_594 is a consequence of e_1274. e_594 is a consequence of e_2530. e_594 is a consequence of e_1979. e_2571 is a consequence of e_2530. e_2571 is a consequence of e_1979. e_2580 is a consequence of e_1274. *** Garbage collection starting *** GC 806 4-Oct-2003 19:02:29, 70 ms (0%), 1375418 occupied, 23624530 free e_2582 is a consequence of e_1274. e_2582 is a consequence of e_2530. e_2356 is a consequence of e_1979. e_2593 is a consequence of e_1274. e_2593 is a consequence of e_2530. e_2376 is a consequence of e_1979. e_2396 is a consequence of e_1979. Substitution of p18 by an expression in p8 found in e_1470 : p18= - 3*p8 Step 6776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 28 terms e_1560 is a consequence of e_2227. e_2633 is a consequence of e_2227. e_2484 is a consequence of e_1979. e_2154 is a consequence of e_2227. e_1561 is a consequence of e_2227. e_1631 is a consequence of e_2227. e_2291 is a consequence of e_1124. Substitution of p7 found in e_2530 : p7=0 Step 6777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_2463 is a consequence of e_1124 e_2313 is a consequence of e_1124.e_2329 is a consequence of e_2071 e_2386 is a consequence of e_2071. e_2386 is a consequence of e_1979. e_2345 is a consequence of e_2071. e_2274 is a consequence of e_2071. e_2088 is a consequence of e_2071. e_2544 is a consequence of e_2071. e_1941 is a consequence of e_1124. e_2212 is a consequence of e_2071. e_2127 is a consequence of e_2071. e_1844 is a consequence of e_2071. Substitution of p17 found in e_2227 : p17=0 Step 6778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 19 terms e_2224,e_2213,e_2199,e_2560 are consequences of e_2244 Substitution of q16 found in e_2558 : q16=0 Step 6779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 12 terms e_2508 is a consequence of e_2563 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q40,q38,q37,q35,q34,q24,q20,q18,q17,q15,q14,q13,q11,q27,q1,p15,p14 ,p13,p6,p5,p4,p3,p2,p8,p11 New ordering: q40,q38,q37,q35,q34,q24,q20,q18,q17,q15,q14,q13,q11,q27,q1,p15,p14 ,p13,p6,p5,p3,p2,p4,p8,p11 e_2467,e_2523,e_2180 are consequences of e_2454 e_2240 is a consequence of e_2501 e_2457 is a consequence of e_2501. e_2400 is a consequence of e_2237.e_2413 is a consequence of e_1959 e_2582 is a consequence of e_1959. e_2582 is a consequence of e_1979. e_2584 is a consequence of e_2501. e_2593 is a consequence of e_1979. *** Garbage collection starting *** GC 807 4-Oct-2003 19:02:32, 70 ms (0%), 1438340 occupied, 23561604 free e_2611 is a consequence of e_2242. e_2611 is a consequence of e_1979. e_2573 is a consequence of e_1924. e_1470 is a consequence of e_1924. e_2613 is a consequence of e_2501.e_2168 is a consequence of e_2614 e_2434 is a consequence of e_2454. e_2529 is a consequence of e_2501. e_2193 is a consequence of e_2564. e_2642 is a consequence of e_1924. e_2408 is a consequence of e_2501. e_2408 is a consequence of e_2564. e_2619 is a consequence of e_2454. e_2545 is a consequence of e_2454. e_2561 is a consequence of e_2454. e_2561 is a consequence of e_2564. e_2591 is a consequence of e_2501. e_2598 is a consequence of e_2454. e_2556 is a consequence of e_1924. e_2269 is a consequence of e_1924. e_2269 is a consequence of e_2563. e_2321 is a consequence of e_2454. e_2262 is a consequence of e_2501. e_2521 is a consequence of e_2501. e_2521 is a consequence of e_2564. e_2402 is a consequence of e_1959. e_2402 is a consequence of e_2454. e_2094 is a consequence of e_2501. e_2055 is a consequence of e_1924. e_2055 is a consequence of e_2563. e_2201 is a consequence of e_2564. e_2201 is a consequence of e_2614. e_2222 is a consequence of e_2454. e_2222 is a consequence of e_2564. e_2518 is a consequence of e_2564. Substitution of p14 found in e_1274 : p14=0 Step 6780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 22 terms e_2341 is a consequence of e_2244. e_2633 is a consequence of e_2244. e_2484 is a consequence of e_1930. e_2154 is a consequence of e_2244. e_1561 is a consequence of e_2244. e_1631 is a consequence of e_1979. e_2530 is a consequence of e_1979. e_2313 is a consequence of e_1124. e_2265 is a consequence of e_1560. e_2069 is a consequence of e_2244. e_2506 is a consequence of e_2244. e_2555 is a consequence of e_2532. Substitution of p3 found in e_2564 : p3=0 Step 6781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_2558 is a consequence of e_2237. e_2508 is a consequence of e_2237. Substitution of q40 found in e_2038 : q40=0 Step 6782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms e_2261 is a consequence of e_2463. e_2434 is a consequence of e_2463. e_2229 is a consequence of e_2463. e_2229 is a consequence of e_2563. e_2529 is a consequence of e_2463. e_2529 is a consequence of e_2563. e_2193 is a consequence of e_2244. e_2193 is a consequence of e_2071. e_2534 is a consequence of e_2463. e_1996 is a consequence of e_2463. e_2342 is a consequence of e_2244. e_2342 is a consequence of e_2071. e_2471 is a consequence of e_2071. e_2471 is a consequence of e_1979. e_2093 is a consequence of e_2071. e_2642 is a consequence of e_2071. e_2408 is a consequence of e_2071. e_2619 is a consequence of e_2071. Substitution of q15 found in e_1124 : q15=0 Step 6783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 4 terms e_2491 is a consequence of e_1560. e_2611 is a consequence of e_2463. e_2293 is a consequence of e_2463. Substitution of p6 found in e_2071 : p6=0 Step 6784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_1927 is a consequence of e_2237. e_2565 is a consequence of e_2279. e_2291 is a consequence of e_2244. e_2185 is a consequence of e_2532. Substitution of q13 found in e_1930 : q13=0 Step 6785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_2055 is a consequence of e_2279. e_2201 is a consequence of e_2279. e_2222 is a consequence of e_2523.e_1637 is a consequence of e_2518 e_1274 is a consequence of e_1979. e_2386 is a consequence of e_2244. e_2661 is a consequence of e_1560. e_2662 is a consequence of e_2569. e_2345 is a consequence of e_1979. e_2664 is a consequence of e_1560. e_2644 is a consequence of e_2244. e_2666 is a consequence of e_2244. e_2658 is a consequence of e_2226. Substitution of q37 found in e_2237 : q37=0 Step 6786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms e_2569 is a consequence of e_2244. e_2521 is a consequence of e_2244. e_2321 is a consequence of e_2244. e_2667 is a consequence of e_2244. e_2668 is a consequence of e_2244. e_1935 is a consequence of e_2655. Substitution of q17 found in e_2279 : q17=0 Step 6787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 10 terms e_2482 is a consequence of e_2563. e_2598 is a consequence of e_1979. e_2320 is a consequence of e_1979. e_2633 is a consequence of e_1979. e_2503 is a consequence of e_1979. e_1940 is a consequence of e_1979. e_2532 is a consequence of e_1979. e_2226 is a consequence of e_1979. e_2655 is a consequence of e_1979. e_2398 is a consequence of e_1979. e_2535 is a consequence of e_1979. e_2520 is a consequence of e_1979. e_2239 is a consequence of e_1979. e_2233 is a consequence of e_1979. e_2551 is a consequence of e_1979. e_2243 is a consequence of e_1979. e_2002 is a consequence of e_1979. Substitution of q24 found in e_2244 : q24=0 Step 6788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0027*p11 + g0032*p5 + g0033*p4 The list of inequalities got extended by: An expression with 8 terms e_2012 is a consequence of e_1560. e_2646 is a consequence of e_1959. e_2646 is a consequence of e_1979. e_2418 is a consequence of e_1959. e_2232 is a consequence of e_1979. e_2476 is a consequence of e_1560. e_2595 is a consequence of e_1979. e_2266 is a consequence of e_1560. e_2266 is a consequence of e_1979. Substitution of p2 found in e_2563 : p2=0 Step 6789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_2552 is a consequence of e_1924. e_2605 is a consequence of e_2501. e_2590 is a consequence of e_2501. e_2585 is a consequence of e_1924. e_2614 is a consequence of e_2501. e_2437 is a consequence of e_2501. e_2255 is a consequence of e_2501. e_2420 is a consequence of e_2501. e_2469 is a consequence of e_2501. e_2225 is a consequence of e_2501. Substitution of q35 found in e_2454 : q35=0 Step 6790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_2348 is a consequence of e_1924. e_2497 is a consequence of e_1924. e_2497 is a consequence of e_1959. e_1644 is a consequence of e_1924. Substitution of q34 found in e_2501 : q34=0 Step 6791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0027*p11 + g0033*p4 e_2663 is a consequence of e_1560. e_2367 is a consequence of e_1560. The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q38,q20,q18,q14,q11,q27,q1,p15,p13,p5,p4,p8,p11 New ordering: q38,q20,q18,q14,q11,q27,q1,p13,p5,p15,p4,p8,p11 e_2247 is a consequence of e_1979. e_2376 is a consequence of e_1979.e_2669 is a consequence of e_2246 e_2660 is a consequence of e_1560. e_2660 is a consequence of e_1979. e_2670 is a consequence of e_1560. Substitution of p5 found in e_1959 : p5=0 Step 6792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_1631 is a consequence of e_1561. e_2530 is a consequence of e_1979. Substitution of q38 found in e_2523 : q38=0 Step 6793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q14 found in e_1924 : q14=0 Step 6794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_2434 is a consequence of e_1561. e_2229 is a consequence of e_1561. e_1875 is a consequence of e_1979. e_1941 is a consequence of e_1979. e_2572 is a consequence of e_2180. e_2529 is a consequence of e_1979. e_2193 is a consequence of e_1979. e_2534 is a consequence of e_1979. e_2650 is a consequence of e_2264. e_2650 is a consequence of e_1979. e_2361 is a consequence of e_2246. e_2361 is a consequence of e_1979. e_2425 is a consequence of e_1920. Substitution of p13 found in e_1560 : p13=0 Step 6795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of q20 found in e_2463 : q20=0 Step 6796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Step 6797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms e_2313 is a consequence of e_1979. e_2342 is a consequence of e_1979. Substitution of q18 found in e_1561 : q18=0 Step 6798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: q27 The list of inequalities got extended by: g0045*p4 + 108*g0066*p8 Substitution of q27 by an expression in q1 found in e_2180 : 2 q27=---*q1 3 leads to a contradiction in : 0=q1 - 3*q27 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. *** Garbage collection starting *** GC 808 4-Oct-2003 19:02:39, 80 ms (0%), 1322023 occupied, 23677924 free Time: 0 ms Time: 0 ms Time: 190 ms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q4,q3,q1,p21,p17,p16,p15,p14,p13,p12,p8,p7,p6,p5,p4,p3 ,p2,p18,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q4,q3,q1,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2 ,p8,p18,p11 The list of inequalities got extended by: q4 The lexicographical ordering of unknowns is changed because q4 has to be non-zero, giving q4 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q4,q3,q1,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2 ,p8,p18,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q3,q1,q4,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2 ,p8,p18,p11 New level : 1.1.1.1.1.2.2.2. CRACK is now called with the new equation e_1998 : 0=p18 + p8 e_1050 is a consequence of e_1998 Step 6799: Hot list of urgent steps : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: p18 The list of inequalities got extended by: g0038*p8 - g0039*p16 - g0040*p14 The list of inequalities got extended by: 1 The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: q1 e_1789,e_1088,e_1594 are consequences of e_1124 e_709,e_377 are consequences of e_754 e_1631 is a consequence of e_754. e_1644 is a consequence of e_1559. e_1927 is a consequence of e_1926.e_1638,e_1637 are consequences of e_1932 The list of inequalities got extended by: q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q27,q25,q24,q23,q22,q20,q18,q17,q16, q15,q14,q13,q11,q10,q9,q8,q3,q1,q4,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2 ,p8,p18,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q25,q24,q23,q22,q20,q18,q17,q16,q15, q14,q13,q11,q10,q9,q8,q3,q27,q1,q4,p21,p17,p16,p15,p14,p13,p12,p7,p6,p5,p4,p3,p2 ,p8,p18,p11 *** Garbage collection starting *** GC 809 4-Oct-2003 19:02:43, 110 ms (0%), 1534244 occupied, 23465695 free Substitution of p18 by an expression in p8 found in e_1998 : p18= - p8 Step 6800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 35 terms e_1928 is a consequence of e_1559. e_1926 is a consequence of e_1559. Substitution of q16 found in e_1470 : q16=0 Step 6801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 28 terms e_2228,e_2203,e_2204,e_2156,e_2157,e_1946,e_1930,e_1634 are consequences of e_1639 e_1636,e_2285 are consequences of e_2286 e_1968 is a consequence of e_1953.e_1271,e_2284 are consequences of e_2287 e_2065 is a consequence of e_1932. e_1350 is a consequence of e_1932. e_1947 is a consequence of e_1639. e_1947 is a consequence of e_1932. e_1958 is a consequence of e_2286. e_2290 is a consequence of e_1953. e_2291 is a consequence of e_1953. e_2068 is a consequence of e_1932. e_1917 is a consequence of e_1953. *** Garbage collection starting *** GC 810 4-Oct-2003 19:02:46, 110 ms (0%), 1593432 occupied, 23406503 free Substitution of q23 found in e_754 : q23=0 Step 6802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 27 terms e_1558 is a consequence of e_2286. e_2299 is a consequence of e_2286. e_2002 is a consequence of e_1932. e_1935 is a consequence of e_2286. e_1999 is a consequence of e_2286. e_2000 is a consequence of e_1932. e_1980 is a consequence of e_2286. e_2085 is a consequence of e_2286. e_2086 is a consequence of e_2286. e_2086 is a consequence of e_1932. e_2300 is a consequence of e_2286. e_2146 is a consequence of e_2286. e_2113 is a consequence of e_2286. e_2227 is a consequence of e_2287. e_2227 is a consequence of e_2286. e_2127 is a consequence of e_2286. e_2126 is a consequence of e_2286. e_2241 is a consequence of e_2286. e_2257 is a consequence of e_2286. e_2221 is a consequence of e_2286. e_2175 is a consequence of e_2286. e_2185 is a consequence of e_2286. e_2260 is a consequence of e_2286. e_2196 is a consequence of e_2286. e_2248 is a consequence of e_2286. e_2272 is a consequence of e_2286. e_2262 is a consequence of e_2286. e_2253 is a consequence of e_2286. *** Garbage collection starting *** GC 811 4-Oct-2003 19:02:50, 150 ms (0%), 1567010 occupied, 23432922 free Substitution of p21 found in e_1639 : p21=0 Step 6803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 26 terms e_2080 is a consequence of e_1932. e_1950 is a consequence of e_2287. e_2031 is a consequence of e_1953. e_2297 is a consequence of e_1953. e_2032 is a consequence of e_1953. e_2092 is a consequence of e_1953. Substitution of p12 found in e_2286 : p12=0 Step 6804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 22 terms e_2024 is a consequence of e_2060 e_1964 is a consequence of e_1953. e_1643 is a consequence of e_1124. e_2038 is a consequence of e_1953. e_2154 is a consequence of e_1124. e_2246 is a consequence of e_2060. e_1948 is a consequence of e_1124. e_2054 is a consequence of e_1124. e_2240 is a consequence of e_1124. e_2158 is a consequence of e_2231. e_2244 is a consequence of e_1124. e_2184 is a consequence of e_2231. e_2174 is a consequence of e_2231. e_2277 is a consequence of e_2231. e_2263 is a consequence of e_2231. e_2264 is a consequence of e_2231. e_2235 is a consequence of e_1124. e_2235 is a consequence of e_2231. Substitution of p2 found in e_2287 : p2=0 Step 6805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: q4 The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 22 terms e_2141,e_2001,e_2097,e_1981,e_1560,e_1931,e_1945,e_1977,e_1976,e_1934,e_2011, e_2129,e_2095,e_2094,e_1942,e_2134,e_2100,e_1932,e_2168,e_2043,e_2040,e_1920, e_2060,e_2180,e_2081 are consequences of e_2064 *** Garbage collection starting *** GC 812 4-Oct-2003 19:02:54, 90 ms (0%), 1537044 occupied, 23462890 free Substitution of q4 by an expression in q1 found in e_55 : 1 q4= - ---*q1 3 Step 6806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0038*p8 - g0039*p16 The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 14 terms e_2288 is a consequence of e_2015. e_1640 is a consequence of e_2015. e_1274 is a consequence of e_2015.e_2294,e_1594 are consequences of e_1975 e_1559 is a consequence of e_1975. e_1924 is a consequence of e_1975. e_2045 is a consequence of e_2140. e_2105 is a consequence of e_2140.e_2279,e_2269,e_2276,e_2259,e_2266,e_2265, e_2035,e_2231,e_2270,e_2275,e_2274,e_2189,e_2140 are consequences of e_2142 e_2106 is a consequence of e_2142. e_2124 is a consequence of e_2142. e_2059 is a consequence of e_2142. e_1638 is a consequence of e_2015. e_1919 is a consequence of e_1921. e_1992 is a consequence of e_1975. e_2295 is a consequence of e_1953. e_2112 is a consequence of e_2015. e_1967 is a consequence of e_2015. e_1967 is a consequence of e_1953. e_1937 is a consequence of e_1941. e_2164 is a consequence of e_2015. e_2181 is a consequence of e_2015. e_2069 is a consequence of e_1975. e_2069 is a consequence of e_2015. e_2101 is a consequence of e_2015. e_2084 is a consequence of e_1921. e_2139 is a consequence of e_1921. e_2139 is a consequence of e_2142. e_2192 is a consequence of e_1921. e_2192 is a consequence of e_2107. e_2055 is a consequence of e_2015. e_2055 is a consequence of e_1953. e_1923 is a consequence of e_1921. e_1991 is a consequence of e_1921. e_1933 is a consequence of e_1953.e_2223,e_2271 are consequences of e_2191 e_2061 is a consequence of e_2107. e_2008 is a consequence of e_2015. e_2008 is a consequence of e_1953. e_2195 is a consequence of e_2015. e_2063 is a consequence of e_2015. e_1965 is a consequence of e_1921. e_2104 is a consequence of e_1921. e_2104 is a consequence of e_2015. e_2199 is a consequence of e_1921. e_2079 is a consequence of e_1140. e_2073 is a consequence of e_1921. e_2073 is a consequence of e_2142. e_2036 is a consequence of e_2015. e_2036 is a consequence of e_1953. e_2111 is a consequence of e_2015. e_2111 is a consequence of e_1953. e_2176 is a consequence of e_2015. e_2255 is a consequence of e_2142. e_2167 is a consequence of e_1921. Substitution of p14 found in e_2064 : p14=0 Step 6807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_1970 is a consequence of e_1921. e_2131 is a consequence of e_2293. e_2014 is a consequence of e_1921. e_1997 is a consequence of e_1921. e_1971 is a consequence of e_1921. e_2205 is a consequence of e_2234.e_1642 is a consequence of e_2170 e_1987 is a consequence of e_1921. Substitution of p16 found in e_2015 : p16=0 Step 6808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 21 terms e_1941 is a consequence of e_1921. e_2078 is a consequence of e_2234.e_2132 is a consequence of e_1928 e_2281 is a consequence of e_2293. e_2099 is a consequence of e_2280.e_2033,e_2186,e_2133 are consequences of e_2289 e_2004 is a consequence of e_2289. e_2147 is a consequence of e_2280.e_1979 is a consequence of e_2098 e_2082 is a consequence of e_2098. The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q25,q24,q22,q20,q18,q17,q15,q14,q13, q11,q10,q9,q8,q3,q27,q1,p17,p15,p13,p7,p6,p5,p4,p3,p8,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q25,q24,q22,q20,q18,q17,q15,q14,q13, q11,q10,q9,q8,q3,q27,q1,p17,p15,p13,p7,p6,p5,p3,p4,p8,p11 Substitution of q25 found in e_1975 : q25=0 Step 6809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms e_2282 is a consequence of e_2022. e_2283 is a consequence of e_1928. e_1926 is a consequence of e_2022. *** Garbage collection starting *** GC 813 4-Oct-2003 19:02:58, 80 ms (0%), 1501216 occupied, 23498720 free e_2098 is a consequence of e_2280. e_2130 is a consequence of e_1921. e_2021 is a consequence of e_1921. e_2083 is a consequence of e_1921. e_2066 is a consequence of e_1921. e_2117 is a consequence of e_2191. Substitution of q8 found in e_2293 : q8=0 Step 6810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_2207,e_2135 are consequences of e_1955 e_1140 is a consequence of e_1955. e_2267 is a consequence of e_2280. e_2267 is a consequence of e_2107. e_2087 is a consequence of e_2107. e_2019 is a consequence of e_1921. e_2019 is a consequence of e_1124. e_2166 is a consequence of e_2280. e_2166 is a consequence of e_1124. The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11, q10,q9,q3,q27,q1,p17,p15,p13,p7,p6,p5,p3,p4,p8,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11, q10,q9,q3,q27,q1,p17,p13,p7,p6,p5,p3,p15,p4,p8,p11 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11, q10,q9,q3,q27,q1,p17,p13,p7,p6,p5,p3,p15,p4,p8,p11 New ordering: q44,q40,q38,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11, q10,q9,q3,q27,q1,p17,p13,p7,p6,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: p3 The list of inequalities got extended by: q38 The lexicographical ordering of unknowns is changed because q38 has to be non-zero, giving q38 a low priority. Old ordering: q44,q40,q38,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11, q10,q9,q3,q27,q1,p17,p13,p7,p6,p3,p5,p15,p4,p8,p11 New ordering: q44,q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q3,q38,q27,q1,p17,p13,p7,p6,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: p7 q44 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q44,q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q3,q38,q27,q1,p17,p13,p7,p6,p3,p5,p15,p4,p8,p11 New ordering: q44,q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q3,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The lexicographical ordering of unknowns is changed because q44 has to be non-zero, giving q44 a low priority. Old ordering: q44,q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9 ,q3,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9,q3, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q10 The lexicographical ordering of unknowns is changed because q10 has to be non-zero, giving q10 a low priority. Old ordering: q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q10,q9,q3, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q35 The lexicographical ordering of unknowns is changed because q35 has to be non-zero, giving q35 a low priority. Old ordering: q40,q37,q35,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q32 The lexicographical ordering of unknowns is changed because q32 has to be non-zero, giving q32 a low priority. Old ordering: q40,q37,q34,q32,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q34,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q32,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q34 The lexicographical ordering of unknowns is changed because q34 has to be non-zero, giving q34 a low priority. Old ordering: q40,q37,q34,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q32,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q34,q32,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: p6 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q40,q37,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q34,q32,q35,q10, q44,q38,q27,q1,p17,p13,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q14 The lexicographical ordering of unknowns is changed because q14 has to be non-zero, giving q14 a low priority. Old ordering: q40,q37,q24,q22,q20,q18,q17,q15,q14,q13,q11,q9,q3,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q24,q22,q20,q18,q17,q15,q13,q11,q9,q3,q14,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 The list of inequalities got extended by: q24 The lexicographical ordering of unknowns is changed because q24 has to be non-zero, giving q24 a low priority. Old ordering: q40,q37,q24,q22,q20,q18,q17,q15,q13,q11,q9,q3,q14,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q22,q20,q18,q17,q15,q13,q11,q9,q3,q24,q14,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 e_2198 is a consequence of e_1124. e_2213 is a consequence of e_1124. e_2212 is a consequence of e_2163. e_1641 is a consequence of e_1124. The list of inequalities got extended by: q9 The lexicographical ordering of unknowns is changed because q9 has to be non-zero, giving q9 a low priority. Old ordering: q40,q37,q22,q20,q18,q17,q15,q13,q11,q9,q3,q24,q14,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 New ordering: q40,q37,q22,q20,q18,q17,q15,q13,q11,q3,q9,q24,q14,q34,q32,q35,q10, q44,q38,q27,q1,p13,p17,p6,p7,p3,p5,p15,p4,p8,p11 e_2298 is a consequence of e_1953. e_2298 is a consequence of e_1124. e_2034 is a consequence of e_1953. e_2009 is a consequence of e_1953. e_2183 is a consequence of e_1124. e_2160 is a consequence of e_1953. e_2206 is a consequence of e_2163. e_2219 is a consequence of e_1124. e_2268 is a consequence of e_1124. Substitution of p13 found in e_2142 : p13=0 Step 6811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p15=0 because of the non-vanishing expression: p15 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: p20 The lexicographical ordering of unknowns is changed because p20 has to be non-zero, giving p20 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p20,p18,p17,p16,p15,p14,p13,p12,p11,p8,p7,p6, p5,p4,p3,p2 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p21,p18,p17,p16,p15,p14,p13,p12,p11,p8,p7,p6,p5, p4,p3,p2,p20 New level : 1.1.1.1.2. CRACK is now called with the new equation e_1020 : 0=q7 Step 6812: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms e_905 is a consequence of e_753. Substitution of q7 found in e_1020 : q7=0 Step 6813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms e_1067 is a consequence of e_753. e_1068 is a consequence of e_752. e_623 is a consequence of e_752. Substitution of q12 found in e_751 : q12=0 Step 6814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms e_896 is a consequence of e_1075. Substitution of q19 found in e_752 : q19=0 Step 6815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms *** Garbage collection starting *** GC 814 4-Oct-2003 19:03:07, 70 ms (0%), 1410389 occupied, 23589556 free Substitution of q26 found in e_753 : q26=0 Step 6816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q16 by an expression in q23, q2, p14, p8, p20 found in e_874 : 7 factors in 3 terms Step 6817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q3 by an expression in q5, q4, p11, p20 found in e_876 : - p11*q4 + p11*q5 q3=-------------------- p20 Step 6818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms Substitution of q9 by an expression in q23, q4, p12, p2, p20 found in e_897 : 8 factors in 3 terms Step 6819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 815 4-Oct-2003 19:03:11, 80 ms (0%), 1464377 occupied, 23535568 free Substitution of q22 by an expression in q43, q42, p13, p3, p20 found in e_1042 : p13*q43 - p3*q42 q22=------------------ p20 Step 6820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q24 by an expression in q43, p13, p3, p20 found in e_866 : p13*q43 + p3*q43 q24=------------------ p20 Step 6821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms Substitution of q32 by an expression in q43, q23, q8, p14, p20 found in e_208 : 8 factors in 4 terms Step 6822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms *** Garbage collection starting *** GC 816 4-Oct-2003 19:03:14, 80 ms (0%), 1523505 occupied, 23476437 free Substitution of q21 by an expression in q29, q27, p18, p8, p20 found in e_626 : 12 factors in 4 terms Step 6823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms Substitution of q15 by an expression in q23, q4, p7, p6, p2, p20 found in e_908 : 10 factors in 4 terms Step 6824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q6 by an expression in q29, q28, q27, q1, p11, p20 found in e_912 : 10 factors in 5 terms Step 6825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q20 by an expression in q25, q23, q4, p7, p6, p4, p20 found in e_953 : 15 factors in 5 terms Step 6826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 40 terms *** Garbage collection starting *** GC 817 4-Oct-2003 19:03:17, 80 ms (0%), 1559295 occupied, 23440646 free Substitution of q11 by an expression in q23, q4, p12, p11, p4, p2, p20 found in e_955 : 13 factors in 5 terms Step 6827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 43 terms Substitution of q8 by an expression in q45, q43, q25, q23, p14, p20 found in e_203 : 18 factors in 5 terms Step 6828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 818 4-Oct-2003 19:03:20, 120 ms (0%), 2116436 occupied, 22883166 free *** Garbage collection starting *** GC 819 4-Oct-2003 19:03:22, 120 ms (0%), 2055913 occupied, 22943751 free *** Garbage collection starting *** GC 820 4-Oct-2003 19:03:25, 110 ms (0%), 1990048 occupied, 23009644 free *** Garbage collection starting *** GC 821 4-Oct-2003 19:03:27, 110 ms (0%), 1931014 occupied, 23068658 free *** Garbage collection starting *** GC 822 4-Oct-2003 19:03:30, 110 ms (0%), 1872358 occupied, 23127358 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_950 we get the alternative equations : 0=p3 0=q46 New level : 1.1.1.1.2.1. CRACK is now called with the new equation e_1383 : 0=p3 Step 6837: Hot list of urgent steps : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 41 terms e_1198 is a consequence of e_1197. e_530 is a consequence of e_1192. *** Garbage collection starting *** GC 823 4-Oct-2003 19:03:33, 100 ms (0%), 1660350 occupied, 23339583 free Substitution of p3 found in e_1383 : p3=0 Step 6838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 824 4-Oct-2003 19:03:37, 100 ms (0%), 1659894 occupied, 23340037 free shortening by 1 term Step 6925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 6930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 825 4-Oct-2003 19:03:40, 160 ms (0%), 2707531 occupied, 22290820 free *** Garbage collection starting *** GC 826 4-Oct-2003 19:03:42, 110 ms (0%), 1834051 occupied, 23165736 free *** Garbage collection starting *** GC 827 4-Oct-2003 19:03:45, 120 ms (0%), 2027990 occupied, 22971633 free *** Garbage collection starting *** GC 828 4-Oct-2003 19:03:48, 130 ms (0%), 2177979 occupied, 22821547 free *** Garbage collection starting *** GC 829 4-Oct-2003 19:03:51, 130 ms (0%), 2305596 occupied, 22692502 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1553 we get the alternative equations : 0=q29 0=p21 New level : 1.1.1.1.2.1.1. CRACK is now called with the new equation e_1589 : 0=q29 e_78 is a consequence of e_1589 Step 6931: Hot list of urgent steps : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 39 terms Substitution of q29 found in e_1589 : q29=0 Step 6932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 830 4-Oct-2003 19:03:54, 100 ms (0%), 1791039 occupied, 23208792 free *** Garbage collection starting *** GC 831 4-Oct-2003 19:03:57, 130 ms (0%), 2069207 occupied, 22930365 free *** Garbage collection starting *** GC 832 4-Oct-2003 19:03:59, 140 ms (0%), 2265991 occupied, 22733456 free *** Garbage collection starting *** GC 833 4-Oct-2003 19:04:02, 150 ms (0%), 2436718 occupied, 22561337 free *** Garbage collection starting *** GC 834 4-Oct-2003 19:04:05, 170 ms (0%), 2588089 occupied, 22410233 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1526 we get the alternative equations : 0=p12 0=q5 New level : 1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_1674 : 0=p12 e_1331,e_975,e_1378,e_996,e_1122 are consequences of e_1674 Step 6933: Hot list of urgent steps : The list of inequalities got extended by: An expression with 37 terms e_1629 is a consequence of e_1628. e_1630 is a consequence of e_1628. e_1631 is a consequence of e_1628. e_1662 is a consequence of e_1661. e_1664 is a consequence of e_1661. e_1676 is a consequence of e_1633. e_1691 is a consequence of e_1643. Substitution of p12 found in e_1674 : p12=0 Step 6934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 835 4-Oct-2003 19:04:08, 110 ms (0%), 1763600 occupied, 23236310 free --- Algebraic length reduction of equations : shortening by 1 term Step 6935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1628 is a consequence of e_1822 Step 6953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 836 4-Oct-2003 19:04:12, 140 ms (0%), 2278783 occupied, 22720670 free Eliminate q43 from e_1822 and e_615. e_615: 0=(5*q43 + q44)*p21 is replaced by e_1840: 0=p21*q44 Step 6958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 837 4-Oct-2003 19:04:15, 160 ms (0%), 2589502 occupied, 22408604 free Eliminate q44 from e_1840 and e_1833. e_1833: 0=(5*q42 + q44)*p21 is replaced by e_1842: 0=p21*q42 e_1842 is a consequence of e_1625. Step 6959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1822 and e_1074. e_1074: 0=(4*q43 - q45)*p21 is replaced by e_1843: 0=p21*q45 Step 6960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 838 4-Oct-2003 19:04:18, 120 ms (0%), 1980138 occupied, 23019568 free *** Garbage collection starting *** GC 839 4-Oct-2003 19:04:21, 150 ms (0%), 2409011 occupied, 22589048 free *** Garbage collection starting *** GC 840 4-Oct-2003 19:04:24, 110 ms (0%), 1821570 occupied, 23178307 free *** Garbage collection starting *** GC 841 4-Oct-2003 19:04:27, 140 ms (0%), 2317889 occupied, 22681514 free *** Garbage collection starting *** GC 842 4-Oct-2003 19:04:30, 170 ms (0%), 2640778 occupied, 22357348 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1822 we get the alternative equations : 0=q43 0=p21 New level : 1.1.1.1.2.1.1.1.1. CRACK is now called with the new equation e_1941 : 0=q43 e_1678,e_908,e_552,e_1670,e_1671,e_1672,e_866,e_1647 are consequences of e_1941 Step 6963: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 34 terms e_1627 is a consequence of e_1629 e_1689,e_1633 are consequences of e_1630 e_1775 is a consequence of e_1761. e_1797 is a consequence of e_1784. e_1764 is a consequence of e_1784. e_1837 is a consequence of e_1298. *** Garbage collection starting *** GC 843 4-Oct-2003 19:04:34, 100 ms (0%), 1816937 occupied, 23182958 free Substitution of q43 found in e_1941 : q43=0 Step 6964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 37 terms Substitution of q13 by an expression in q27, q5, q1, p14, p20 found in e_1769 : 11 factors in 5 terms Step 6965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 40 terms Substitution of q17 by an expression in q45, q2, q1, p16, p14, p8, p20 found in e_1782 : 12 factors in 5 terms Step 6966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 844 4-Oct-2003 19:04:37, 110 ms (0%), 1844379 occupied, 23155514 free The list of inequalities got extended by: An expression with 23 terms Substitution of q33 by an expression in q44, q14, q10, p14, p20 found in e_1796 : 11 factors in 5 terms Step 6967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 6999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 845 4-Oct-2003 19:04:41, 110 ms (0%), 1853543 occupied, 23146353 free --- Algebraic length reduction of equations : shortening by 1 term Step 7026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1765 is a consequence of e_1630. Step 7075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1736,e_1643,e_1812 are consequences of e_2016 Step 7082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1792 is a consequence of e_1800. Step 7096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 846 4-Oct-2003 19:04:45, 120 ms (0%), 1850359 occupied, 23149539 free shortening by 4 terms Step 7102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 7118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 7140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 847 4-Oct-2003 19:04:50, 120 ms (0%), 1849485 occupied, 23150416 free shortening by 1 term Step 7151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1634 is a consequence of e_1805. Step 7163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 7175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 848 4-Oct-2003 19:04:55, 120 ms (0%), 1847945 occupied, 23151958 free shortening by 2 terms Step 7188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1754 is a consequence of e_1691. Step 7191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 849 4-Oct-2003 19:04:59, 120 ms (0%), 1848867 occupied, 23151034 free shortening by 1 term Step 7194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 850 4-Oct-2003 19:05:04, 190 ms (0%), 2176062 occupied, 22823529 free Eliminate q31 from e_1994 and e_2019. e_2019: 0=(q31 + q42)*p11 is replaced by e_1670: 0=p11*q42 Step 7198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1763 is a consequence of e_1670. Step 7209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 851 4-Oct-2003 19:05:08, 120 ms (0%), 1846733 occupied, 23153169 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 852 4-Oct-2003 19:05:12, 220 ms (0%), 2342862 occupied, 22656459 free Eliminate q25 from e_1760 and e_1635. e_1635: 0=(q23 + q25)*p2 is replaced by e_1965: 0=p2*q23 e_1965 is a consequence of e_1630. Step 7243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_1630 and e_1785. e_1785: 0=(9*q23 - q42)*p2 is replaced by e_1674: 0=p2*q42 Step 7244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 853 4-Oct-2003 19:05:15, 200 ms (0%), 2315274 occupied, 22684114 free Eliminate q42 from e_1674 and e_848. e_848: 0=(3*q42 - q44)*p2 is replaced by e_1942: 0=p2*q44 Step 7245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1977 is a consequence of e_2008 Step 7247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 854 4-Oct-2003 19:05:20, 110 ms (0%), 1944104 occupied, 23055678 free Eliminate q45 from e_2008 and e_552. e_552: 0=(3*q42 + q45)*p2 is replaced by e_1882: 0=p2*q42 e_1882 is a consequence of e_1674. Step 7271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 855 4-Oct-2003 19:05:23, 160 ms (0%), 2054686 occupied, 22945005 free *** Garbage collection starting *** GC 856 4-Oct-2003 19:05:27, 140 ms (0%), 2184464 occupied, 22815097 free *** Garbage collection starting *** GC 857 4-Oct-2003 19:05:31, 160 ms (0%), 2281659 occupied, 22717791 free *** Garbage collection starting *** GC 858 4-Oct-2003 19:05:34, 150 ms (0%), 2361407 occupied, 22637942 free *** Garbage collection starting *** GC 859 4-Oct-2003 19:05:38, 270 ms (0%), 2432452 occupied, 22566794 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1630 we get the alternative equations : 0=q23 0=p2 New level : 1.1.1.1.2.1.1.1.1.1. CRACK is now called with the new equation e_2179 : 0=q23 e_2001,e_1775,e_1190,e_1652,e_1018,e_1780,e_2016,e_1832,e_1991,e_1767,e_1629 are consequences of e_2179 Step 7272: Hot list of urgent steps : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 22 terms e_1193 is a consequence of e_1978 e_2002 is a consequence of e_1682. e_1969 is a consequence of e_1526. e_1763 is a consequence of e_1658.e_1737,e_1643,e_1658 are consequences of e_1653 e_925 is a consequence of e_1682. e_1792 is a consequence of e_1653. e_1907 is a consequence of e_1653. e_2043 is a consequence of e_1653. e_2050 is a consequence of e_1653. *** Garbage collection starting *** GC 860 4-Oct-2003 19:05:41, 120 ms (0%), 1875562 occupied, 23124329 free Substitution of q23 found in e_2179 : q23=0 Step 7273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 24 terms Substitution of q34 by an expression in q45, q25, q10, p14, p20 found in e_848 : 12 factors in 4 terms Step 7274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1548,e_1416,e_1804 are consequences of e_2128 Step 7295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 861 4-Oct-2003 19:05:44, 120 ms (0%), 1899070 occupied, 23100823 free --- Algebraic length reduction of equations : shortening by 1 term Step 7297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 7305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2173 is a consequence of e_2128. Step 7312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2095 is a consequence of e_1737. Step 7347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2096 is a consequence of e_2108 Step 7353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2110 is a consequence of e_1369. Step 7354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1808 is a consequence of e_1369. Step 7355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_708 is a consequence of e_1682. Step 7356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 862 4-Oct-2003 19:05:49, 130 ms (0%), 1896168 occupied, 23103718 free shortening by 1 term Step 7381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 863 4-Oct-2003 19:05:54, 120 ms (0%), 1900548 occupied, 23099344 free shortening by 1 term Step 7395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 864 4-Oct-2003 19:05:58, 110 ms (0%), 1895280 occupied, 23104612 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 865 4-Oct-2003 19:06:03, 120 ms (0%), 1942846 occupied, 23056992 free *** Garbage collection starting *** GC 866 4-Oct-2003 19:06:07, 140 ms (0%), 2375743 occupied, 22623587 free *** Garbage collection starting *** GC 867 4-Oct-2003 19:06:10, 140 ms (0%), 2220815 occupied, 22778722 free *** Garbage collection starting *** GC 868 4-Oct-2003 19:06:14, 130 ms (0%), 2025143 occupied, 22974598 free *** Garbage collection starting *** GC 869 4-Oct-2003 19:06:18, 150 ms (0%), 2410276 occupied, 22588999 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1796 we get the alternative equations : 0=q25 0=p4 New level : 1.1.1.1.2.1.1.1.1.1.1. CRACK is now called with the new equation e_2275 : 0=q25 e_1941,e_1760,e_2108 are consequences of e_2275 Step 7403: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q25 found in e_2275 : q25=0 Step 7404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 870 4-Oct-2003 19:06:21, 120 ms (0%), 1942654 occupied, 23057224 free The list of inequalities got extended by: An expression with 24 terms Substitution of q31 by an expression in q45, q10, p14, p20 found in e_2110 : 10 factors in 4 terms Step 7405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms Substitution of q35 by an expression in q42, q14, q10, p14, p20 found in e_1789 : 11 factors in 5 terms Step 7406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q18 by an expression in q39, q4, q1, p16, p11, p20 found in e_708 : 12 factors in 5 terms Step 7407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2221 is a consequence of e_2241. Step 7410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 871 4-Oct-2003 19:06:24, 120 ms (0%), 1965898 occupied, 23033980 free shortening by 1 term Step 7426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1369 is a consequence of e_2288 Step 7439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2084 is a consequence of e_1761. Step 7441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 872 4-Oct-2003 19:06:29, 170 ms (0%), 1960234 occupied, 23039647 free shortening by 2 terms Step 7489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2115 is a consequence of e_2232. Step 7505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2211 is a consequence of e_1526. Step 7515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 873 4-Oct-2003 19:06:34, 120 ms (0%), 1960300 occupied, 23039578 free shortening by 1 term Step 7529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2215 is a consequence of e_2296. Step 7549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 874 4-Oct-2003 19:06:39, 170 ms (0%), 1957874 occupied, 23042003 free shortening by 2 terms Step 7550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2110 is a consequence of e_2236. Step 7558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2212 is a consequence of e_2236. Step 7559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 875 4-Oct-2003 19:06:44, 180 ms (0%), 1957710 occupied, 23042166 free shortening by 2 terms Step 7562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2000 is a consequence of e_1625. Step 7565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2059 is a consequence of e_1625. Step 7566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 876 4-Oct-2003 19:06:49, 130 ms (0%), 2141154 occupied, 22858530 free Eliminate q10 from e_1963 and e_2081. e_2081: 0=(q10 + q44)*p11 is replaced by e_2113: 0=p11*q44 e_1526,e_2231 are consequences of e_2113 Step 7567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1895,e_2094,e_2264,e_2087 are consequences of e_2205 Step 7568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2049 is a consequence of e_2113. Step 7570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2266 is a consequence of e_2113. Step 7575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2243 is a consequence of e_2113. Step 7576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1737,e_1800 are consequences of e_2299 Step 7577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2219 is a consequence of e_2113. Step 7579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 877 4-Oct-2003 19:06:53, 140 ms (0%), 2219817 occupied, 22779788 free *** Garbage collection starting *** GC 878 4-Oct-2003 19:06:57, 150 ms (0%), 2386315 occupied, 22613032 free *** Garbage collection starting *** GC 879 4-Oct-2003 19:07:01, 120 ms (0%), 2135474 occupied, 22864211 free *** Garbage collection starting *** GC 880 4-Oct-2003 19:07:04, 140 ms (0%), 2331527 occupied, 22667899 free *** Garbage collection starting *** GC 881 4-Oct-2003 19:07:08, 130 ms (0%), 2052780 occupied, 22946969 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2205 we get the alternative equations : 0=p11 0=q45 New level : 1.1.1.1.2.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2307 : 0=p11 e_1566,e_1018,e_1832,e_1947,e_2177,e_1991,e_1764,e_2176,e_1869,e_2171,e_1513, e_1512,e_1763,e_925,e_2154,e_2128,e_1870,e_2247,e_1632,e_1670,e_1963,e_2189, e_2083,e_2113 are consequences of e_2307 Step 7591: Hot list of urgent steps : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 23 terms e_2297 is a consequence of e_2234.e_1792,e_2096,e_1990,e_1797,e_2093 are consequences of e_2279 e_2243 is a consequence of e_1674. e_1737 is a consequence of e_1933. e_2100 is a consequence of e_2279. e_2041 is a consequence of e_2005. e_2292 is a consequence of e_2005. e_2135 is a consequence of e_2266. e_2290 is a consequence of e_2005. Substitution of p11 found in e_2307 : p11=0 Step 7592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 882 4-Oct-2003 19:07:11, 120 ms (0%), 1978478 occupied, 23021387 free --- Algebraic length reduction of equations : shortening by 1 term Step 7593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1513 is a consequence of e_2266. Step 7637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 883 4-Oct-2003 19:07:15, 120 ms (0%), 1978176 occupied, 23021690 free shortening by 1 term Step 7642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2048 is a consequence of e_2005. Step 7663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2093 is a consequence of e_2279. Step 7690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2096 is a consequence of e_2266. Step 7692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2322 is a consequence of e_2219. Step 7707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 884 4-Oct-2003 19:07:20, 130 ms (0%), 1979670 occupied, 23020195 free shortening by 1 term Step 7728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2402 is a consequence of e_2083. Step 7760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 885 4-Oct-2003 19:07:24, 120 ms (0%), 1975434 occupied, 23024432 free shortening by 1 term Step 7783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 886 4-Oct-2003 19:07:30, 120 ms (0%), 1972920 occupied, 23026949 free *** Garbage collection starting *** GC 887 4-Oct-2003 19:07:35, 130 ms (0%), 1973348 occupied, 23026521 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 888 4-Oct-2003 19:07:41, 130 ms (0%), 2069739 occupied, 22929993 free Eliminate q45 from e_2305 and e_2065. e_2065: 0=(6*q42 + q45)*p7 is replaced by e_2141: 0=p7*q42 e_2141 is a consequence of e_2005. Step 7809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_2305 and e_2236. e_2236: 0=(3*q44 + 2*q45)*p7 is replaced by e_2316: 0=p7*q44 e_2316 is a consequence of e_2257. Step 7810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q1 from e_2280 and e_1738. e_1738: 0=(q1 - q27)*p4 is replaced by e_2103: 0=p4*q27 Step 7811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 889 4-Oct-2003 19:07:45, 120 ms (0%), 1973396 occupied, 23026473 free --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2306 is a consequence of e_2399. Step 7812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q5 from e_2270 and e_2000. e_2000: 0=(q2 + 2*q5)*p7 is replaced by e_1576: 0=p7*q2 Step 7825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2215 and e_2090. e_2090: 0=(q30 - 3*q4)*p6 is replaced by e_2402: 0=p6*q30 Step 7830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 890 4-Oct-2003 19:07:50, 140 ms (0%), 2190688 occupied, 22808967 free Eliminate q30 from e_2402 and e_2397. e_2397: 0=(q28 + q30)*p6 is replaced by e_2034: 0=p6*q28 Step 7831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q44 from e_2257 and e_2291. e_2291: 0=(4*q42 - q44)*p7 is replaced by e_2409: 0=p7*q42 e_2409 is a consequence of e_2005. Step 7833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q5 from e_2266 and e_2271. e_2271: 0=(2*q2 - q5)*p4 is replaced by e_2410: 0=p4*q2 Step 7834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1004 is a consequence of e_2212. Step 7835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 891 4-Oct-2003 19:07:54, 130 ms (0%), 1971458 occupied, 23028414 free --- Length reducing decoupling steps : Eliminate q45 from e_2288 and e_1800. e_1800: 0=(2*q44 + q45)*p4 is replaced by e_2357: 0=p4*q44 e_2357 is a consequence of e_2088. Step 7842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 892 4-Oct-2003 19:07:59, 140 ms (0%), 2159080 occupied, 22840559 free Eliminate q30 from e_2355 and e_2226. e_2355: 0=(q27 + 2*q30)*p5 is replaced by e_2284: 0=p5*q27 Step 7843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 893 4-Oct-2003 19:08:04, 130 ms (0%), 2118832 occupied, 22880821 free Eliminate q27 from e_2284 and e_2226. e_2226: 0=(2*q27 + q30)*p5 is replaced by e_1792: 0=p5*q30 Step 7858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 894 4-Oct-2003 19:08:08, 130 ms (0%), 1968238 occupied, 23031632 free *** Garbage collection starting *** GC 895 4-Oct-2003 19:08:14, 120 ms (0%), 1968402 occupied, 23031468 free --- Length reducing decoupling steps : Eliminate q44 from e_2306 and e_2399. e_2399: 0=(3*q42 - q44)*p6 is replaced by e_413: 0=p6*q42 e_413 is a consequence of e_2337. Step 7914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_2337 and e_2118. e_2118: 0=(3*q42 + q45)*p6 is replaced by e_1990: 0=p6*q45 Step 7915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2302 is a consequence of e_1990. Step 7920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2262 is a consequence of e_1990. Step 7921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2317 is a consequence of e_1990. Step 7929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2238 is a consequence of e_2304. Step 7931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2331 is a consequence of e_2313. Step 7939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1796 is a consequence of e_1990. Step 7943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2372 is a consequence of e_2293. Step 7944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 896 4-Oct-2003 19:08:18, 120 ms (0%), 1968596 occupied, 23031278 free --- Algebraic length reduction of equations : shortening by 1 term Step 7955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 7961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2271 is a consequence of e_2020. Step 7968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 897 4-Oct-2003 19:08:24, 120 ms (0%), 1964088 occupied, 23035789 free --- Length reducing decoupling steps : Eliminate q28 from e_2323 and e_1804. e_1804: 0=(3*q1 - q28)*p2 is replaced by e_2374: 0=p2*q1 e_2374 is a consequence of e_2313. Step 7982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q1 from e_2313 and e_1369. e_1369: 0=(3*q1 + q30)*p2 is replaced by e_2411: 0=p2*q30 Step 7983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_2411 and e_2393. e_2393: 0=(q27 + q30)*p2 is replaced by e_1998: 0=p2*q27 Step 7988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 7999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 898 4-Oct-2003 19:08:29, 120 ms (0%), 1963494 occupied, 23036381 free --- Algebraic length reduction of equations : shortening by 1 term Step 8004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 899 4-Oct-2003 19:08:34, 120 ms (0%), 1962222 occupied, 23037656 free --- Length reducing decoupling steps : Eliminate q27 from e_1998 and e_1808. e_1808: 0=(q1 - q27)*p2 is replaced by e_2359: 0=p2*q1 e_2359 is a consequence of e_2313. Step 8027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 900 4-Oct-2003 19:08:40, 120 ms (0%), 1961388 occupied, 23038490 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 901 4-Oct-2003 19:08:45, 130 ms (0%), 2061678 occupied, 22938035 free *** Garbage collection starting *** GC 902 4-Oct-2003 19:08:51, 130 ms (0%), 2067324 occupied, 22932390 free *** Garbage collection starting *** GC 903 4-Oct-2003 19:08:57, 130 ms (0%), 2074631 occupied, 22925066 free *** Garbage collection starting *** GC 904 4-Oct-2003 19:09:03, 130 ms (0%), 2083034 occupied, 22916669 free *** Garbage collection starting *** GC 905 4-Oct-2003 19:09:08, 130 ms (0%), 2091539 occupied, 22908168 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2410 we get the alternative equations : 0=p4 0=q2 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2506 : 0=p4 e_2216,e_2049,e_1789,e_1675,e_1773,e_2088,e_2288,e_2266,e_2279,e_2280,e_2103, e_2293,e_2324,e_2269,e_1737 are consequences of e_2506 Step 8032: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 22 terms e_2389 is a consequence of e_2411. e_2093 is a consequence of e_1761. e_2171 is a consequence of e_1674. e_848 is a consequence of e_1762. e_2336 is a consequence of e_2385. e_1895 is a consequence of e_2104. Substitution of p4 found in e_2506 : p4=0 Step 8033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 906 4-Oct-2003 19:09:12, 130 ms (0%), 1970079 occupied, 23029798 free shortening by 1 term Step 8066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 907 4-Oct-2003 19:09:18, 120 ms (0%), 1969615 occupied, 23030264 free --- Length reducing decoupling steps : Eliminate q14 from e_1800 and e_2142. e_2142: 0=(2*q10 + 3*q14)*p2 is replaced by e_1416: 0=p2*q10 e_1416 is a consequence of e_2385. Step 8071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 908 4-Oct-2003 19:09:23, 120 ms (0%), 2090102 occupied, 22909585 free *** Garbage collection starting *** GC 909 4-Oct-2003 19:09:29, 120 ms (0%), 2018514 occupied, 22981299 free *** Garbage collection starting *** GC 910 4-Oct-2003 19:09:34, 130 ms (0%), 2134610 occupied, 22865079 free *** Garbage collection starting *** GC 911 4-Oct-2003 19:09:40, 130 ms (0%), 2083785 occupied, 22915921 free *** Garbage collection starting *** GC 912 4-Oct-2003 19:09:46, 120 ms (0%), 2021907 occupied, 22977899 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2263 we get the alternative equations : 0=p5 0=q2 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2321 : 0=p5 e_2413,e_1665,e_626,e_1761,e_1762,e_1776,e_2190,e_2284,e_1792,e_2304,e_2048, e_2081,e_2236 are consequences of e_2321 Step 8072: Hot list of urgent steps : The list of inequalities got extended by: g0030*p7 + g0031*p6 + g0035*p2 e_1670 is a consequence of e_2385. e_2348 is a consequence of e_2385.e_2212 is a consequence of e_2078 e_2422 is a consequence of e_2419. e_2423 is a consequence of e_1630. e_2426 is a consequence of e_2419. e_2430 is a consequence of e_2078. Substitution of p5 found in e_2321 : p5=0 Step 8073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2309 is a consequence of e_2265. Step 8090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 913 4-Oct-2003 19:09:50, 120 ms (0%), 1977674 occupied, 23022205 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 914 4-Oct-2003 19:09:55, 120 ms (0%), 1989479 occupied, 23010392 free *** Garbage collection starting *** GC 915 4-Oct-2003 19:10:00, 130 ms (0%), 2070955 occupied, 22928790 free *** Garbage collection starting *** GC 916 4-Oct-2003 19:10:06, 130 ms (0%), 2123000 occupied, 22876737 free *** Garbage collection starting *** GC 917 4-Oct-2003 19:10:11, 120 ms (0%), 2041218 occupied, 22958596 free *** Garbage collection starting *** GC 918 4-Oct-2003 19:10:17, 130 ms (0%), 2111142 occupied, 22888586 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1589 we get the alternative equations : 0=p21 0=q2 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2285 : 0=p21 e_1836,e_1631,e_1662,e_1625,e_1626,e_1840,e_1843,e_1972,e_1666,e_1847,e_1978, e_1894,e_2089,e_2043,e_1899,e_2275,e_2299 are consequences of e_2285 Step 8106: Hot list of urgent steps : e_2383 is a consequence of e_1416. e_2344 is a consequence of e_2142. Substitution of p21 found in e_2285 : p21=0 Step 8107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_2311 and e_2404. e_2404: 0=(q10 + 4*q14)*p15 is replaced by e_2065: 0=p15*q14 Step 8119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_2065 and e_2405. e_2405: 0=(9*q10 + 14*q14)*p15 is replaced by e_2225: 0=p15*q10 e_2225 is a consequence of e_2311. Step 8120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_2065 and e_2316. e_2316: 0=(q10 + 2*q14)*p15 is replaced by e_2119: 0=p15*q10 e_2119 is a consequence of e_2311. Step 8121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_2065 and e_2151. e_2151: 0=(3*q10 + 2*q14)*p15 is replaced by e_925: 0=p15*q10 e_925 is a consequence of e_2311. Step 8122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 919 4-Oct-2003 19:10:21, 130 ms (0%), 2094701 occupied, 22905017 free Eliminate q14 from e_2065 and e_2421. e_2421: 0=(5*q10 + 4*q14)*p15 is replaced by e_2438: 0=p15*q10 e_2438 is a consequence of e_2311. Step 8123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_1416 and e_2435. e_2435: 0=(2*q10 + q14)*p13 is replaced by e_1968: 0=p13*q14 Step 8124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_1968 and e_2269. e_2269: 0=(7*q10 + 8*q14)*p13 is replaced by e_2415: 0=p13*q10 e_2415 is a consequence of e_1416. Step 8125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_1968 and e_2505. e_2505: 0=(q10 + 2*q14)*p13 is replaced by e_1738: 0=p13*q10 e_1738 is a consequence of e_1416. Step 8126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_1968 and e_2387. e_2387: 0=(2*q10 + 3*q14)*p13 is replaced by e_2437: 0=p13*q10 e_2437 is a consequence of e_1416. Step 8127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_1968 and e_2090. e_2090: 0=(q10 + q14)*p13 is replaced by e_2000: 0=p13*q10 e_2000 is a consequence of e_1416. Step 8128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 920 4-Oct-2003 19:10:26, 120 ms (0%), 2012728 occupied, 22987113 free *** Garbage collection starting *** GC 921 4-Oct-2003 19:10:32, 130 ms (0%), 2029042 occupied, 22970785 free *** Garbage collection starting *** GC 922 4-Oct-2003 19:10:37, 130 ms (0%), 2048099 occupied, 22951647 free Eliminate q30 from e_2287 and e_2386. e_2386: 0=(q27 + q28 + q30)*p7 is replaced by e_2218: 0=(q27 + q28)*p7 Step 8129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q40 from e_2049 and e_2373. e_2049: 0=3*p13*q40 - p15*q37 is replaced by e_2272: 0=p15*q37 Step 8130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2192 is a consequence of e_2376. Step 8137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_2272 and e_1566. e_1566: 0=(q37 + 2*q40)*p15 is replaced by e_1796: 0=p15*q40 Step 8140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 923 4-Oct-2003 19:10:42, 130 ms (0%), 2063587 occupied, 22936168 free Eliminate q45 from e_1858 and e_1975. e_1975: 0=p14*(4*p14*q2 - p8*q45) is replaced by e_2330: 0=p14*q2 e_949 is a consequence of e_2330 Step 8143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1890 is a consequence of e_2330. Step 8145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 924 4-Oct-2003 19:10:47, 120 ms (0%), 1979470 occupied, 23020405 free --- Length reducing decoupling steps : Eliminate q2 from e_2330 and e_2329. e_2329: 0=(3*q2 - q5)*p14 is replaced by e_2470: 0=p14*q5 Step 8187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 925 4-Oct-2003 19:10:52, 130 ms (0%), 1978298 occupied, 23021573 free --- Length reducing decoupling steps : Eliminate q5 from e_2470 and e_1952. e_1952: 0=(q2 + q5)*p14 is replaced by e_2438: 0=p14*q2 e_2438 is a consequence of e_2330. Step 8226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 926 4-Oct-2003 19:10:58, 130 ms (0%), 2055138 occupied, 22944616 free *** Garbage collection starting *** GC 927 4-Oct-2003 19:11:04, 120 ms (0%), 1981990 occupied, 23017881 free *** Garbage collection starting *** GC 928 4-Oct-2003 19:11:10, 130 ms (0%), 2033988 occupied, 22965821 free *** Garbage collection starting *** GC 929 4-Oct-2003 19:11:16, 130 ms (0%), 1981674 occupied, 23018197 free Eliminate q38 from e_2376 and e_2508. e_2508: 3 terms, 6 factors, with derivatives of functions of all variables: (q38,q36,q10,p17,p13) is replaced by e_2435: 0=p13*q36 + 7*p17*q10 Step 8227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q36 from e_2435 and e_2073. e_2435: 0=p13*q36 + 7*p17*q10 is replaced by e_2415: 0=p17*q10 Step 8228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1890 is a consequence of e_1858. Step 8244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 930 4-Oct-2003 19:11:22, 130 ms (0%), 2019846 occupied, 22979984 free Eliminate q36 from e_2018 and e_1858. e_2018: 0=p15*q36 - 2*p17*q14 is replaced by e_2217: 0=p17*q14 Step 8246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2365 is a consequence of e_2217. Step 8248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 931 4-Oct-2003 19:11:28, 130 ms (0%), 2034554 occupied, 22965259 free *** Garbage collection starting *** GC 932 4-Oct-2003 19:11:34, 130 ms (0%), 2049870 occupied, 22949879 free Eliminate q28 from e_2218 and e_2085. e_2085: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q27,q4,q2,p17,p7) is replaced by e_1817: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q4,q2,p17,p7) Step 8249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_1817 and e_2366. e_2366: 4 terms, 8 factors, with derivatives of functions of all variables: (q27,q4,q2,q1,p17,p7) is replaced by e_1810: 3 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,q1,p17,p7) Step 8250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 933 4-Oct-2003 19:11:40, 130 ms (0%), 2061021 occupied, 22938722 free *** Garbage collection starting *** GC 934 4-Oct-2003 19:11:46, 130 ms (0%), 2025547 occupied, 22974265 free Eliminate q4 from e_2406 and e_2408. e_2408: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q4,q1,p17,p7,p6) is replaced by e_2253: 4 terms, 8 factors, with derivatives of functions of all variables: (q27,q1,p17,p7,p6) Step 8251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 935 4-Oct-2003 19:11:53, 130 ms (0%), 2007716 occupied, 22992123 free Eliminate q40 from e_1972 and e_2454. e_2454: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q40,q37,q27,q1,p14,p7,p20) is replaced by e_1950: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q37,q27,q1,p14,p7,p20) Step 8252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_1950 and e_2426. e_1950: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q37,q27,q1,p14,p7,p20) is replaced by e_2113: 0=p14*p7*q27 Step 8253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_2113 and e_2426. e_2426: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q37,q27,q1,p14,p7,p20) is replaced by e_2227: 0=p7*(p14*q1 - p20*q37) Step 8257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 936 4-Oct-2003 19:11:59, 130 ms (0%), 2050458 occupied, 22949293 free Eliminate q46 from e_2231 and e_2190. e_2190: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q46,q45,q44,p16,p14 ,p14,p8,p20) is replaced by e_1666: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q45,q44,p16,p14 ,p14,p20) Step 8258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q46 from e_2231 and e_1762. e_1762: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q46,q45,q10,p16,p14 ,p14,p8,p20) is replaced by e_1840: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q45,q10,p16,p14 ,p14,p20) Step 8259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 937 4-Oct-2003 19:12:05, 130 ms (0%), 2054392 occupied, 22945369 free *** Garbage collection starting *** GC 938 4-Oct-2003 19:12:11, 120 ms (0%), 2011175 occupied, 22988653 free *** Garbage collection starting *** GC 939 4-Oct-2003 19:12:18, 120 ms (0%), 1980914 occupied, 23018959 free *** Garbage collection starting *** GC 940 4-Oct-2003 19:12:24, 130 ms (0%), 2052443 occupied, 22947315 free *** Garbage collection starting *** GC 941 4-Oct-2003 19:12:31, 130 ms (0%), 2048326 occupied, 22951442 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2382 we get the alternative equations : 0=q27 0=p13 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2491 : 0=q27 e_1437,e_2113,e_2381,e_1193,e_1998 are consequences of e_2491 Step 8260: Hot list of urgent steps : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q27 found in e_2491 : q27=0 Step 8261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms Substitution of q41 by an expression in q30, q28, q4, p18, p20 found in e_2041 : 14 factors in 4 terms Step 8262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 942 4-Oct-2003 19:12:35, 130 ms (0%), 1993990 occupied, 23005882 free shortening by 1 term Step 8276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 943 4-Oct-2003 19:12:41, 120 ms (0%), 1993876 occupied, 23005995 free shortening by 1 term Step 8311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2471 is a consequence of e_2147. Step 8314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2476 is a consequence of e_1653. Step 8317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 944 4-Oct-2003 19:12:46, 130 ms (0%), 2058769 occupied, 22941001 free *** Garbage collection starting *** GC 945 4-Oct-2003 19:12:53, 120 ms (0%), 2003611 occupied, 22996252 free Eliminate q4 from e_2493 and e_2474. e_2474: 0=p14*q1 - p16*q28 - p16*q4 is replaced by e_2263: 0=p14*q1 - p16*q1 - p16*q28 Step 8331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_2497 and e_1810. e_1810: 3 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,q1,p17,p7) is replaced by e_1905: 0=(2*q1 - q4)*p7 Step 8332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 946 4-Oct-2003 19:12:59, 130 ms (0%), 2002903 occupied, 22996961 free Eliminate q4 from e_1905 and e_2406. e_2406: 0=p17*q1 - p6*q1 - p7*q4 is replaced by e_2256: 0=q1*(p17 - p6 - 2*p7) Step 8333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2495 and e_2441. e_2441: 0=p17*q2 - p6*q2 + p7*q4 is replaced by e_2484: 0=q2*(p17 + p6) Step 8334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_2488 and e_2491. e_2491: 4 terms, 8 factors, with derivatives of functions of all variables: (q40,q38,q37,p17,p7) is replaced by e_1947: 0=(q37 - q40)*(2*p17 + p7) Step 8335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2493 and e_2442. e_2442: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q10,q4,q1,p16 ,p16,p8,p20) is replaced by e_2467: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q10,q1,p16 ,p16,p8,p20) Step 8336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 947 4-Oct-2003 19:13:05, 130 ms (0%), 2048183 occupied, 22951625 free *** Garbage collection starting *** GC 948 4-Oct-2003 19:13:12, 120 ms (0%), 1993907 occupied, 23005965 free Eliminate q4 from e_1905 and e_2495. e_2495: 0=2*p17*q2 + p7*q4 is replaced by e_2450: 0=p17*q2 + p7*q1 Step 8337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_2450 and e_2497. e_2450: 0=p17*q2 + p7*q1 is replaced by e_2486: 0=p7*q1 Step 8338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q1 from e_2486 and e_1905. e_1905: 0=(2*q1 - q4)*p7 is replaced by e_2048: 0=p7*q4 e_2147 is a consequence of e_2048 Step 8354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2387 is a consequence of e_1978. Step 8355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 949 4-Oct-2003 19:13:18, 130 ms (0%), 2037574 occupied, 22962230 free *** Garbage collection starting *** GC 950 4-Oct-2003 19:13:24, 120 ms (0%), 2039905 occupied, 22959920 free *** Garbage collection starting *** GC 951 4-Oct-2003 19:13:31, 130 ms (0%), 2055151 occupied, 22944611 free Eliminate q4 from e_2493 and e_2494. e_2494: 5 terms, 10 factors, with derivatives of functions of all variables: (q45,q30,q5,q4,q1,p18,p16) is replaced by e_2443: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q30,q5,q1,p18,p16) Step 8362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2493 and e_2243. e_2243: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q4,q1,p17,p16,p6,p20) is replaced by e_75: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q1,p17,p16,p6,p20) Step 8363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 952 4-Oct-2003 19:13:38, 120 ms (0%), 1994338 occupied, 23005530 free *** Garbage collection starting *** GC 953 4-Oct-2003 19:13:45, 120 ms (0%), 2009426 occupied, 22990427 free *** Garbage collection starting *** GC 954 4-Oct-2003 19:13:51, 130 ms (0%), 2045145 occupied, 22954676 free *** Garbage collection starting *** GC 955 4-Oct-2003 19:13:58, 130 ms (0%), 2034727 occupied, 22965088 free *** Garbage collection starting *** GC 956 4-Oct-2003 19:14:05, 120 ms (0%), 2041975 occupied, 22957837 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2486 we get the alternative equations : 0=q1 0=p7 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2295 : 0=q1 e_2498,e_2256,e_2367,e_2313,e_2292 are consequences of e_2295 Step 8364: Hot list of urgent steps : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q1 found in e_2295 : q1=0 Step 8365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms Substitution of q37 by an expression in q42, q28, q5, q4, p18, p14, p20 found in e_2212 : 11 factors in 5 terms Step 8366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 957 4-Oct-2003 19:14:09, 130 ms (0%), 2004417 occupied, 22995447 free shortening by 1 term Step 8411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2476 is a consequence of e_2005. Step 8429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1626 is a consequence of e_2220. Step 8431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1193 is a consequence of e_1974. Step 8436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2482 is a consequence of e_1674. Step 8437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 958 4-Oct-2003 19:14:15, 130 ms (0%), 2027241 occupied, 22972606 free *** Garbage collection starting *** GC 959 4-Oct-2003 19:14:21, 120 ms (0%), 2037560 occupied, 22962267 free Eliminate q5 from e_125 and e_2453. e_2453: 0=p18*q5 + p7*q39 + p8*q5 is replaced by e_2518: 0=p7*q39 Step 8439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2522 is a consequence of e_116. Step 8441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q44 from e_1762 and e_2192. e_2192: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q5,q2,p18,p16) is replaced by e_2525: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q5,q2,p18,p16) Step 8444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 960 4-Oct-2003 19:14:28, 130 ms (0%), 2005361 occupied, 22994505 free *** Garbage collection starting *** GC 961 4-Oct-2003 19:14:35, 130 ms (0%), 2043205 occupied, 22956605 free Eliminate q5 from e_2328 and e_2363. e_2363: 0=2*p6*q5 + p7*q38 is replaced by e_2536: 0=2*p6*q2 - p7*q38 Step 8445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 962 4-Oct-2003 19:14:42, 130 ms (0%), 2017799 occupied, 22982060 free Eliminate q5 from e_2328 and e_1808. e_1808: 3 terms, 9 factors, with derivatives of functions of all variables: (q38,q5,q2,p16,p7,p6,p20) is replaced by e_2171: 3 terms, 9 factors, with derivatives of functions of all variables: (q38,q2,p16,p7,p6,p20) Step 8446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_2536 and e_2171. e_2171: 3 terms, 9 factors, with derivatives of functions of all variables: (q38,q2,p16,p7,p6,p20) is replaced by e_2382: 0=q2*p6*(2*p16 - 3*p20) Step 8447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 963 4-Oct-2003 19:14:49, 120 ms (0%), 2012764 occupied, 22987096 free Eliminate q38 from e_2536 and e_2495. e_2495: 0=p17*q40 - p6*q40 - p7*q38 is replaced by e_1776: 3 terms, 6 factors, with derivatives of functions of all variables: (q40,q2,p17,p6) Step 8448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 964 4-Oct-2003 19:14:56, 130 ms (0%), 2044992 occupied, 22954810 free Eliminate q45 from e_2094 and e_1662. e_1662: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q30,q5,p18,p16) is replaced by e_2025: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q5,p16,p14) Step 8449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q5 from e_2059 and e_2525. e_2525: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q5,q2,p18,p16) is replaced by e_2370: 2 0=2*p16 *q2 - p18*p20*q45 Step 8450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 965 4-Oct-2003 19:15:03, 130 ms (0%), 2004868 occupied, 22995001 free Eliminate q28 from e_2496 and e_2430. e_2430: 5 terms, 10 factors, with derivatives of functions of all variables: (q45,q42,q28,q2,p18,p16,p14,p20) is replaced by e_2441: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q42,q2,p18,p16,p20) Step 8451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q5 from e_2328 and e_2101. e_2101: 4 terms, 12 factors, with derivatives of functions of all variables: (q40,q38,q5,q2,p16,p7,p6,p20) is replaced by e_2466: 4 terms, 12 factors, with derivatives of functions of all variables: (q40,q38,q2,p16,p7,p6,p20) Step 8452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_2536 and e_2466. e_2466: 4 terms, 12 factors, with derivatives of functions of all variables: (q40,q38,q2,p16,p7,p6,p20) is replaced by e_2442: 0=p6*(2*p16*q2 + p20*q40) Step 8453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 966 4-Oct-2003 19:15:10, 130 ms (0%), 2005243 occupied, 22994624 free Eliminate q5 from e_125 and e_2523. e_2523: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q42,q28,q5,q4,p18 ,p18,p14,p8,p20) is replaced by e_2381: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q42,q28,q4,p18 ,p18,p14,p8) Step 8454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_1851 and e_2050. e_2050: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q45,q44,q42,q14,q10,p16,p14 ,p14,p20) is replaced by e_2043: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q44,q42,q14,q10,p16,p14 ,p14,p20) Step 8455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 967 4-Oct-2003 19:15:18, 120 ms (0%), 2034973 occupied, 22964858 free Eliminate q5 from e_2328 and e_2113. e_2113: 2 terms, 6 factors, with derivatives of functions of all variables: (q5,q4,p17,p14,p6,p20) is replaced by e_2089: 2 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,p17,p14,p6,p20) Step 8456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_2094 and e_2512. e_2512: 2 terms, 6 factors, with derivatives of functions of all variables: (q45,q39,p18,p14,p13,p20) is replaced by e_2321: 2 0=p13*p20*q39 + p14 *q30 Step 8457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 968 4-Oct-2003 19:15:25, 130 ms (0%), 2009870 occupied, 22989996 free Eliminate q4 from e_1625 and e_2089. e_2089: 2 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,p17,p14,p6,p20) is replaced by e_2422: 0=q2*(p16*p17 + p20*p6) Step 8458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2382 is a consequence of e_2041 Step 8459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2396 is a consequence of e_2423. Step 8465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_2041 and e_2328. e_2328: 0=(q2 + q5)*p6 is replaced by e_1004: 0=p6*q5 Step 8466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 969 4-Oct-2003 19:15:33, 130 ms (0%), 2012868 occupied, 22986995 free *** Garbage collection starting *** GC 970 4-Oct-2003 19:15:41, 130 ms (0%), 2046126 occupied, 22953685 free Eliminate q44 from e_1762 and e_2332. e_2332: 6 terms, 12 factors, with derivatives of functions of all variables: (q44,q40,q5,q4,q2,p18,p16,p14,p20) is replaced by e_1905: 6 terms, 12 factors, with derivatives of functions of all variables: (q40,q5,q4,q2,p16,p14,p20) Step 8467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_1625 and e_1905. e_1905: 6 terms, 12 factors, with derivatives of functions of all variables: (q40,q5,q4,q2,p16,p14,p20) is replaced by e_2239: 5 terms, 10 factors, with derivatives of functions of all variables: (q40,q5,q2,p16,p20) Step 8468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 34 terms Substitution of q40 by an expression in q5, q2, p16, p20 found in e_2239 : 13 factors in 5 terms Step 8469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2233 is a consequence of e_2041. Step 8470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2439 is a consequence of e_2204. Step 8476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2325 is a consequence of e_2270. Step 8477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2018 is a consequence of e_2342. Step 8478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2437 is a consequence of e_1879. Step 8479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 971 4-Oct-2003 19:15:48, 130 ms (0%), 2015774 occupied, 22984089 free Eliminate q45 from e_2094 and e_2331. e_2331: 2 terms, 6 factors, with derivatives of functions of all variables: (q45,q39,p18,p15,p14,p20) is replaced by e_2533: 2 0=p14 *q30 + p15*p20*q39 Step 8480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_2094 and e_626. e_626: 6 terms, 12 factors, with derivatives of functions of all variables: (q45,q44,q42,q30,q28,q5,p18,p14,p20) is replaced by e_949: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q42,q28,q5,p18,p14,p20) Step 8481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 38 terms Substitution of q5 by an expression in q44, q42, q28, p18, p14, p20 found in e_949 : 10 factors in 4 terms Step 8482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 972 4-Oct-2003 19:15:55, 120 ms (0%), 2006723 occupied, 22993142 free --- Algebraic length reduction of equations : shortening by 1 term Step 8483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2451 is a consequence of e_2392. Step 8513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1634 is a consequence of e_2034. Step 8516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2227 is a consequence of e_615. Step 8518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2422 is a consequence of e_2392. Step 8519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2275 is a consequence of e_2005. Step 8522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2471 is a consequence of e_2234. Step 8523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2488 is a consequence of e_1633. Step 8525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2395 is a consequence of e_1674. Step 8526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 973 4-Oct-2003 19:16:00, 130 ms (0%), 2010216 occupied, 22989646 free *** Garbage collection starting *** GC 974 4-Oct-2003 19:16:06, 130 ms (0%), 2042175 occupied, 22957642 free Eliminate q28 from e_2496 and e_2538. e_2538: 4 terms, 12 factors, with derivatives of functions of all variables: (q39,q28,q2,p16,p14,p8,p6,p20) is replaced by e_2351: 3 terms, 9 factors, with derivatives of functions of all variables: (q39,q2,p16,p8,p6,p20) Step 8527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q44 from e_2389 and e_2408. e_2408: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q44,q42,q30,q28,p18 ,p18,p14,p8,p20) is replaced by e_2396: 3 terms, 9 factors, with derivatives of functions of all variables: (q30,q28,p18,p14,p8,p20) Step 8528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_2496 and e_2535. e_2535: 2 terms, 6 factors, with derivatives of functions of all variables: (q28,q2,p18,p14,p8,p20) is replaced by e_2332: 0=q2*(3*p16*p8 - p18*p20) Step 8529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 975 4-Oct-2003 19:16:13, 120 ms (0%), 2036638 occupied, 22963192 free *** Garbage collection starting *** GC 976 4-Oct-2003 19:16:20, 130 ms (0%), 2026000 occupied, 22973828 free Eliminate q45 from e_2094 and e_2261. e_2261: 8 terms, 16 factors, with derivatives of functions of all variables: (q45,q44,q42,q36,q30,q4,p18,p14,p20) is replaced by e_2239: 6 terms, 12 factors, with derivatives of functions of all variables: (q44,q42,q36,q30,q4,p18,p14,p20) Step 8530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_2381 and e_2389. e_2389: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q44,q42,q28,p18 ,p18,p14,p8) is replaced by e_2095: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q44,q4,p18 ,p18,p14,p8) Step 8531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 977 4-Oct-2003 19:16:27, 130 ms (0%), 2014372 occupied, 22985487 free Eliminate q2 from e_116 and e_2093. e_2093: 10 terms, 40 factors, with derivatives of functions of all variables: 2 2 (q44,q42,q28,q2,p18 ,p18,p16,p14,p8,p20 ,p20) is replaced by e_2354: 6 terms, 24 factors, with derivatives of functions of all variables: 2 (q44,q42,q28,p18 ,p18,p16,p14,p8,p20) Step 8532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 978 4-Oct-2003 19:16:34, 120 ms (0%), 2014950 occupied, 22984912 free Eliminate q44 from e_2455 and e_2490. e_2490: 4 terms, 12 factors, with derivatives of functions of all variables: (q44,q42,q30,p18,p16,p14,p20) is replaced by e_2269: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q30,q2,p16 ,p16,p14,p20) Step 8533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 979 4-Oct-2003 19:16:42, 120 ms (0%), 2040949 occupied, 22958877 free Eliminate q4 from e_1625 and e_2095. e_2095: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q44,q4,p18 ,p18,p14,p8) is replaced by e_2436: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q44,q2,p18 ,p18,p16,p8) Step 8534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_116 and e_2436. e_2436: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q44,q2,p18 ,p18,p16,p8) is replaced by e_2073: 0=p18*q44 Step 8535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 41 terms Substitution of q36 by an expression in q42, q30, q4, p18, p14, p20 found in e_2118 : 16 factors in 5 terms Step 8540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 980 4-Oct-2003 19:16:49, 130 ms (0%), 2010107 occupied, 22989760 free --- Algebraic length reduction of equations : shortening by 1 term Step 8541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 44 terms Substitution of q38 by an expression in q42, q28, q4, p18, p14, p20 found in e_2426 : 12 factors in 5 terms Step 8542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2000 is a consequence of e_2005. Step 8560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2433 is a consequence of e_1974. Step 8574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1899 is a consequence of e_2220. Step 8576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2089 is a consequence of e_2215. Step 8581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2227 is a consequence of e_2215. Step 8583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1894 is a consequence of e_2220. Step 8584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2497 is a consequence of e_2005. Step 8586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2536 is a consequence of e_1974. Step 8587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2101 is a consequence of e_1974. Step 8588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2367 is a consequence of e_1674. Step 8589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2453 is a consequence of e_1674. Step 8590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 981 4-Oct-2003 19:16:54, 120 ms (0%), 2027077 occupied, 22972763 free Eliminate q42 from e_2414 and e_2233. e_2233: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q42,q2,p18,p16 ,p16,p20) is replaced by e_2275: 0=q2*p16*(2*p16 - p20) Step 8591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_2275 and e_2269. e_2269: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q30,q2,p16 ,p16,p14,p20) is replaced by e_2471: 0=q30*(p14 - p16) Step 8592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 982 4-Oct-2003 19:17:01, 120 ms (0%), 2032481 occupied, 22967355 free Eliminate q42 from e_2505 and e_2386. e_2386: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q42,q39,q28,q4,p18,p14 ,p14,p13,p20) is replaced by e_2329: 2 0=p13*p20*q39 - p14 *q4 Step 8593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q39 from e_2329 and e_2321. e_2321: 2 0=p13*p20*q39 + p14 *q30 is replaced by e_2488: 0=p14*(q30 + q4) Step 8594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_2488 and e_2094. e_2094: 0=p14*q30 - 2*p18*q45 is replaced by e_2538: 0=p14*q4 + 2*p18*q45 Step 8595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_2488 and e_2533. e_2533: 2 0=p14 *q30 + p15*p20*q39 is replaced by e_2408: 2 0=p14 *q4 - p15*p20*q39 Step 8596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 983 4-Oct-2003 19:17:09, 130 ms (0%), 2029630 occupied, 22970211 free Eliminate q45 from e_2538 and e_2049. e_2049: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q45,q42,q39,q28,q4,p18,p15,p14 ,p14,p20) is replaced by e_2535: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q42,q39,q28,q4,p18,p15,p14 ,p14,p20) Step 8597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_2505 and e_2535. e_2535: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q42,q39,q28,q4,p18,p15,p14 ,p14,p20) is replaced by e_1905: 2 terms, 6 factors, with derivatives of functions of all variables: 2 (q39,q4,p15,p14 ,p20) Step 8598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q39 from e_1905 and e_2408. e_1905: 2 terms, 6 factors, with derivatives of functions of all variables: 2 (q39,q4,p15,p14 ,p20) is replaced by e_2299: 0=p14*q4 e_1836 is a consequence of e_2299 Step 8599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2275 is a consequence of e_2095 Step 8601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2494 is a consequence of e_2299. Step 8602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 57 terms Substitution of q28 by an expression in q45, q2, p18, p16, p20 found in e_2513 : 11 factors in 4 terms Step 8607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1890 is a consequence of e_2093. Step 8624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 62 terms e_2095 is a consequence of e_2292. e_2041 is a consequence of e_2292. e_2412 is a consequence of e_2292. e_1762 is a consequence of e_2292. e_2399 is a consequence of e_2292. e_1739 is a consequence of e_2292. e_2363 is a consequence of e_2292. e_2532 is a consequence of e_2292. e_2192 is a consequence of e_2292. e_2539 is a consequence of e_2292. e_2439 is a consequence of e_2292. e_2541 is a consequence of e_2292. Substitution of q2 by an expression in q45, q42, p18, p20 found in e_1399 : 10 factors in 3 terms Step 8629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2506 is a consequence of e_1974. Step 8630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2171 is a consequence of e_2369. Step 8631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2466 is a consequence of e_2220. Step 8632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1949 is a consequence of e_2337. Step 8633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1899 is a consequence of e_1674. Step 8634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1760 is a consequence of e_2005. Step 8635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2451 is a consequence of e_2277. Step 8636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 984 4-Oct-2003 19:17:13, 130 ms (0%), 2003353 occupied, 22996511 free shortening by 3 terms e_1634 is a consequence of e_2487. Step 8640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 8653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1978 is a consequence of e_2101 Step 8654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2521,e_1670,e_2113,e_2414,e_2277 are consequences of e_2442 Step 8663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2261 is a consequence of e_2140. Step 8670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 8675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 8676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_2442 and e_2292. e_2292: 0=p18*(q42 + q45) is replaced by e_2310: 0=p18*q45 e_2310 is a consequence of e_2093. Step 8679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2299 and e_2488. e_2488: 0=p14*(q30 + q4) is replaced by e_2529: 0=p14*q30 Step 8680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_2093 and e_2449. e_2449: 2 terms, 6 factors, with derivatives of functions of all variables: 2 (q45,q30,p18 ,p8,p20) is replaced by e_2445: 0=p8*q30 Step 8683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2299 and e_2408. e_2408: 2 0=p14 *q4 - p15*p20*q39 is replaced by e_2059: 0=p15*q39 Step 8687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2446 is a consequence of e_2448. Step 8695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2436 is a consequence of e_2299. Step 8697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 985 4-Oct-2003 19:17:19, 120 ms (0%), 1996701 occupied, 23003167 free *** Garbage collection starting *** GC 986 4-Oct-2003 19:17:23, 130 ms (0%), 1998549 occupied, 23001317 free *** Garbage collection starting *** GC 987 4-Oct-2003 19:17:29, 130 ms (0%), 2000675 occupied, 22999191 free --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_2445 we get the alternative equations : 0=q30 0=p8 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2580 : 0=q30 e_617,e_2355,e_2471,e_2444,e_2287,e_2402,e_2343,e_2378,e_2411,e_2223,e_2529, e_2526 are consequences of e_2580 Step 8704: Hot list of urgent steps : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 59 terms Substitution of q30 found in e_2580 : q30=0 Step 8705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 988 4-Oct-2003 19:17:41, 130 ms (0%), 2004487 occupied, 22995380 free factorizing e_2487 we get the alternative equations : 0=q42 0=p8 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2090 : 0=q42 e_1933,e_1784,e_1674,e_1974,e_2220,e_2005,e_2337,e_2369,e_2442 are consequences of e_2090 Step 8706: Hot list of urgent steps : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 39 terms Substitution of q42 found in e_2090 : q42=0 Step 8707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 43 terms e_2537 is a consequence of e_2093. e_2433 is a consequence of e_2393. e_2383 is a consequence of e_1832. e_2506 is a consequence of e_2232. e_2477 is a consequence of e_866. e_2171 is a consequence of e_1990. e_2354 is a consequence of e_2008. e_2466 is a consequence of e_2305. Substitution of q10 by an expression in q45, p16, p14, p20 found in e_2371 : 14 factors in 4 terms Step 8708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2025 is a consequence of e_866. Step 8709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_1662 and e_2522. e_2522: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q45,q44,q14,p16,p14 ,p14,p20) is replaced by e_1470: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q44,q14,p16,p14 ,p14,p20) Step 8714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q46 from e_2231 and e_2295. e_2295: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q46,q45,q14,p16 ,p16,p14,p8,p20) is replaced by e_2512: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q45,q14,p16 ,p16,p14 ,p14,p20) Step 8716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q45 from e_1662 and e_2231. e_2231: 2 0=p14 *q45 - 48*p20*p8*q46 is replaced by e_1634: 2 0=p14 *q44 + 24*p20*p8*q46 Step 8718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_2215 we get the alternative equations : 0=q4 0=p6 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2260 : 0=q4 e_2143,e_2422,e_2359,e_2325,e_2454,e_2212,e_1653,e_2265,e_1630,e_2048,e_2366, e_2299,e_2101 are consequences of e_2260 Step 8719: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 38 terms Substitution of q4 found in e_2260 : q4=0 Step 8720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_866 we get the alternative equations : 0=q45 0=p13 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1978 : 0=q45 e_1949,e_1810,e_2008,e_2232,e_2305,e_1832,e_1990,e_2393,e_2093 are consequences of e_1978 Step 8721: Hot list of urgent steps : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 10 terms e_2523 is a consequence of e_1004. Substitution of q45 found in e_1978 : q45=0 Step 8722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 5 terms q44 The lexicographical ordering of unknowns is changed because q44 has to be non-zero, giving q44 a low priority. Old ordering: q46,q44,q39,q14,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New ordering: q46,q39,q14,q44,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 The list of inequalities got extended by: An expression with 11 terms e_2282 is a consequence of e_2073. e_2536 is a consequence of e_2472. e_2222 is a consequence of e_2264. e_2497 is a consequence of e_1633. e_2528 is a consequence of e_2234. e_2277 is a consequence of e_2306. e_2414 is a consequence of e_1942. e_2113 is a consequence of e_2257. Substitution of q14 by an expression in q44, p16, p14, p20 found in e_1894 : 10 factors in 3 terms Step 8723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p13 found in e_1633 : p13=0 Step 8724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 Substitution of p2 found in e_1942 : p2=0 Step 8725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p15 found in e_2234 : p15=0 Step 8726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 Substitution of p7 found in e_2257 : p7=0 Step 8727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p17 found in e_2264 : p17=0 Step 8728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p6=0 because of the non-vanishing expression: p6 Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: q45 The lexicographical ordering of unknowns is changed because q45 has to be non-zero, giving q45 a low priority. Old ordering: q46,q45,q44,q39,q14,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New ordering: q46,q44,q39,q14,q45,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1978 : 0=p13 e_1633,e_2237,e_1968,e_2480 are consequences of e_1978 Step 8729: Hot list of urgent steps : Substitution of p13 found in e_1978 : p13=0 Step 8730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 Substitution of p2 found in e_2008 : p2=0 Step 8731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p15 found in e_2232 : p15=0 Step 8732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 Substitution of p7 found in e_2305 : p7=0 Step 8733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p17 found in e_1832 : p17=0 Step 8734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 7 terms e_1760,e_1810 are consequences of e_2413 e_2395 is a consequence of e_2393. e_2395 is a consequence of e_2420. e_2205 is a consequence of e_2339. Substitution of q44 found in e_2306 : q44=0 Step 8735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p6=0 because of the non-vanishing expression: p6 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: q4 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2260 : 0=p6 e_2306,e_1990,e_2339,e_2420,e_2094 are consequences of e_2260 Step 8736: Hot list of urgent steps : The list of inequalities got extended by: g0030*p7 + g0035*p2 e_1815 is a consequence of e_2101.e_1832,e_2264,e_2288,e_2217 are consequences of e_1815 Substitution of p6 found in e_2260 : p6=0 Step 8737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q46,q45,q44,q39,q14,q4,p18,p17,p16,p15,p14,p13,p8,p7,p2,p20 New ordering: q46,q45,q44,q39,q14,q4,p18,p17,p16,p15,p14,p13,p8,p2,p7,p20 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q46,q45,q44,q39,q14,q4,p18,p17,p16,p15,p14,p13,p8,p2,p7,p20 New ordering: q46,q45,q44,q39,q14,q4,p18,p16,p15,p14,p13,p8,p2,p17,p7,p20 Substitution of p2 found in e_1653 : p2=0 Step 8738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 42 terms e_2457 is a consequence of e_2299. e_2457 is a consequence of e_2257. Substitution of q46 found in e_897 : q46=0 Step 8739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 36 terms e_2528 is a consequence of e_2299. e_2528 is a consequence of e_2305.e_1810 is a consequence of e_2528 e_2277 is a consequence of e_2299. e_2277 is a consequence of e_2305. e_2113 is a consequence of e_2377. Substitution of q44 found in e_2257 : q44=0 Step 8740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: g0017*q4 + g0021*p20 The list of inequalities got extended by: An expression with 8 terms e_2414 is a consequence of e_2377.e_2065,e_1968,e_2447,e_2448 are consequences of e_2414 e_2500 is a consequence of e_2377. Substitution of q45 found in e_2305 : q45=0 Step 8741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0049*p16 - g0063*p20 The list of inequalities got extended by: An expression with 6 terms Substitution of q14 found in e_2377 : q14=0 Step 8742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p15 found in e_2265 : p15=0 Step 8743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p13 found in e_1630 : p13=0 Step 8744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p7=0 because of the non-vanishing expression: p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms *** Garbage collection starting *** GC 989 4-Oct-2003 19:17:50, 40 ms (0%), 1190149 occupied, 23809799 free The list of inequalities got extended by: q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q46,q45,q44,q42,q39,q14,q10,q4,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2 ,p20 New ordering: q46,q45,q44,q39,q14,q10,q4,q42,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2 ,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2090 : 0=p8 e_2454,e_2393,e_2472,e_2447,e_1665 are consequences of e_2090 Step 8745: Hot list of urgent steps : The list of inequalities got extended by: An expression with 31 terms e_1662 is a consequence of e_2442. e_2371 is a consequence of e_2442. e_1972 is a consequence of e_2442. e_2525 is a consequence of e_2442. e_2406 is a consequence of e_2442. e_1975 is a consequence of e_2369. Substitution of p8 found in e_2090 : p8=0 Step 8746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: An expression with 30 terms e_1784 is a consequence of e_1974.e_866,e_1633,e_2237,e_1630,e_1416,e_1968, e_2480 are consequences of e_1784 e_1933 is a consequence of e_2220.e_2232,e_2273,e_2234,e_2265,e_2311,e_2065, e_2059 are consequences of e_1933 Substitution of p2 found in e_1674 : p2=0 Step 8747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2482 is a consequence of e_2220. Substitution of p13 found in e_1974 : p13=0 Step 8748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p15 found in e_2220 : p15=0 Step 8749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 e_2280 is a consequence of e_2215. Substitution of p7 found in e_2005 : p7=0 Step 8750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q4 found in e_2215 : q4=0 Step 8751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p6=0 because of the non-vanishing expression: p6 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: q30 The lexicographical ordering of unknowns is changed because q30 has to be non-zero, giving q30 a low priority. Old ordering: q46,q45,q44,q42,q39,q30,q14,q10,q4,p18,p17,p16,p15,p14,p13,p8,p7, p6,p2,p20 New ordering: q46,q45,q44,q42,q39,q14,q10,q4,q30,p18,p17,p16,p15,p14,p13,p8,p7, p6,p2,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2580 : 0=p8 e_2393,e_2472,e_2487,e_2447,e_1665 are consequences of e_2580 Step 8752: Hot list of urgent steps : The list of inequalities got extended by: An expression with 31 terms e_2212 is a consequence of e_2454.e_2332,e_2073,e_2093,e_2442,e_2207,e_2448, e_2454 are consequences of e_2534 e_1369 is a consequence of e_2534. e_2527 is a consequence of e_2534. e_2423 is a consequence of e_2223. e_2540 is a consequence of e_2534. e_2495 is a consequence of e_2529. Substitution of p8 found in e_2580 : p8=0 Step 8753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0031*p6 + g0035*p2 Substitution of p7 found in e_2287 : p7=0 Step 8754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p2 e_2430 is a consequence of e_2101. e_2430 is a consequence of e_2223. e_2430 is a consequence of e_1653. e_2422 is a consequence of e_2101. e_2422 is a consequence of e_2223. e_2422 is a consequence of e_1653. e_617 is a consequence of e_2223.e_1832,e_2264,e_2369,e_2288,e_2415,e_2217, e_2101 are consequences of e_617 Substitution of p6 found in e_2402 : p6=0 Step 8755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 61 terms Substitution of q46 found in e_1331 : q46=0 Step 8756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 41 terms e_2025 is a consequence of e_2529. Substitution of q42 found in e_1674 : q42=0 Step 8757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 35 terms e_1470 is a consequence of e_2529. e_1470 is a consequence of e_2008. Substitution of q44 found in e_1942 : q44=0 Step 8758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: g0007*q30 + g0017*q4 + g0021*p20 The list of inequalities got extended by: An expression with 15 terms e_1760 is a consequence of e_2385.e_2416,e_1416,e_2311 are consequences of e_1760 e_1810 is a consequence of e_2385. Substitution of q45 found in e_2008 : q45=0 Step 8759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0053*q14 + g0057*q10 The list of inequalities got extended by: g0007*q30 + g0021*p20 The list of inequalities got extended by: An expression with 10 terms Substitution of q4 found in e_1653 : q4=0 Step 8760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2355 is a consequence of e_2378.e_1968,e_2480 are consequences of e_2355 Substitution of p15 found in e_2343 : p15=0 Step 8761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p13 found in e_2378 : p13=0 Step 8762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p2=0 because of the non-vanishing expression: p2 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: q1 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2295 : 0=p7 e_897,e_2005,e_2257,e_2287,e_2270,e_2305,e_1548,e_1576,e_2377,e_2492,e_2352, e_2435,e_2376,e_2048 are consequences of e_2295 Step 8763: Hot list of urgent steps : The list of inequalities got extended by: g0031*p6 + g0035*p2 e_2366 is a consequence of e_2392.e_617,e_615,e_2356,e_2460,e_2291 are consequences of e_1843 Substitution of p7 found in e_2295 : p7=0 Step 8764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2412 is a consequence of e_1818. e_2412 is a consequence of e_2292. e_2440 is a consequence of e_2292. e_2440 is a consequence of e_2343. e_1589 is a consequence of e_2311. e_1589 is a consequence of e_2292. e_2396 is a consequence of e_2078. e_2396 is a consequence of e_2292. e_2275 is a consequence of e_2313. e_2275 is a consequence of e_1797. e_2423 is a consequence of e_2313. e_2423 is a consequence of e_1674. Substitution of p13 found in e_2367 : p13=0 Step 8765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The lexicographical ordering of unknowns is changed because p6 has to be non-zero, giving p6 a low priority. Old ordering: q46,q45,q44,q42,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2,q1, p18,p17,p16,p15,p14,p8,p6,p2,p20 New ordering: q46,q45,q44,q42,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2,q1, p18,p17,p16,p15,p14,p8,p2,p6,p20 The list of inequalities got extended by: p17 The lexicographical ordering of unknowns is changed because p17 has to be non-zero, giving p17 a low priority. Old ordering: q46,q45,q44,q42,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2,q1, p18,p17,p16,p15,p14,p8,p2,p6,p20 New ordering: q46,q45,q44,q42,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2,q1, p18,p16,p15,p14,p8,p2,p17,p6,p20 The list of inequalities got extended by: An expression with 18 terms e_2465 is a consequence of e_2369. e_2465 is a consequence of e_2292. e_2465 is a consequence of e_2337. e_2465 is a consequence of e_2220. Substitution of p2 found in e_2313 : p2=0 Step 8766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 16 terms e_2490 is a consequence of e_2328. Substitution of q4 found in e_2215 : q4=0 Step 8767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 8 terms e_2093 is a consequence of e_1399. e_2093 is a consequence of e_2438. e_2481 is a consequence of e_2223. e_2481 is a consequence of e_2402. e_1760 is a consequence of e_2438. Substitution of q28 found in e_2392 : q28=0 Step 8768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 7 terms e_2506 is a consequence of e_2433. Substitution of q30 found in e_2402 : q30=0 Step 8769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q42 found in e_2337 : q42=0 Step 8770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 5 terms e_1810 is a consequence of e_2306. e_1810 is a consequence of e_2264.e_1666,e_2330,e_2470 are consequences of e_1776 e_2474 is a consequence of e_1399. e_1936 is a consequence of e_2288. e_1936 is a consequence of e_2420. e_2359 is a consequence of e_2415. e_2359 is a consequence of e_2419.e_2311 is a consequence of e_2359 e_1899 is a consequence of e_2415. e_1899 is a consequence of e_2419. Substitution of q45 found in e_1832 : q45=0 Step 8771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q44 found in e_2264 : q44=0 Step 8772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p15 found in e_2292 : p15=0 Step 8773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 13 terms e_2370 is a consequence of e_2415. e_2370 is a consequence of e_2419. e_2441 is a consequence of e_1776. e_2441 is a consequence of e_2415. e_2441 is a consequence of e_2419. e_2269 is a consequence of e_1776. e_2500 is a consequence of e_2415. e_2500 is a consequence of e_2419. Substitution of q14 found in e_2339 : q14=0 Step 8774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms Substitution of q36 found in e_2290 : q36=0 Step 8775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 5 terms e_2406 is a consequence of e_2288. e_2406 is a consequence of e_2420. e_2466 is a consequence of e_1776. e_2205 is a consequence of e_1776. e_2425 is a consequence of e_1776. e_2354 is a consequence of e_1776. e_2436 is a consequence of e_1776. e_1004 is a consequence of e_1399. e_2118 is a consequence of e_1399. Substitution of q10 found in e_2419 : q10=0 Step 8776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of q46 found in e_2420 : q46=0 Step 8777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: g0016*q5 + g0020*q1 + g0021*p20 e_125,e_2242 are consequences of e_2328 e_2260 is a consequence of e_1776. e_2212 is a consequence of e_1776. e_2482 is a consequence of e_2480. Substitution of q2 found in e_2438 : q2=0 Step 8778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0073*q40 + g0074*q39 + g0075*q38 e_1762 is a consequence of e_2447 e_2413 is a consequence of e_1998 e_2480 is a consequence of e_1998. e_2395 is a consequence of e_1776. e_2524 is a consequence of e_1776. Substitution of q37 found in e_1850 : q37=0 Step 8779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: g0037*p20 + g0038*p18 + g0040*p14 e_2171 is a consequence of e_1776. e_2442 is a consequence of e_1776. e_2450 is a consequence of e_1776. e_2525 is a consequence of e_1776. e_2521 is a consequence of e_1776. e_2448 is a consequence of e_1776. e_2526 is a consequence of e_1776. Substitution of p16 found in e_1399 : p16=0 Step 8780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0037*p20 + g0040*p14 e_2518 is a consequence of e_1843. e_2519 is a consequence of e_1843. Substitution of p18 found in e_2433 : p18=0 Step 8781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_1998 is a consequence of e_2328. The list of inequalities got extended by: q5 The list of inequalities got extended by: q40 The lexicographical ordering of unknowns is changed because q40 has to be non-zero, giving q40 a low priority. Old ordering: q40,q39,q38,q5,q1,p14,p8,p17,p6,p20 New ordering: q39,q38,q40,q5,q1,p14,p8,p17,p6,p20 Substitution of p14 found in e_1776 : p14=0 leads to a contradiction in : 10 factors in 3 terms This completes the investigation of all cases of a factorization. *** Garbage collection starting *** GC 990 4-Oct-2003 19:18:00, 60 ms (0%), 1233845 occupied, 23766105 free Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: q27 The lexicographical ordering of unknowns is changed because q27 has to be non-zero, giving q27 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2, q1,q27,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2491 : 0=p13 e_866,e_1633,e_1974,e_1879,e_2002,e_2237,e_2219,e_2367,e_2378,e_1630,e_2142, e_1416,e_1968,e_2302,e_2309,e_1549 are consequences of e_2491 Step 8782: Hot list of urgent steps : e_2492 is a consequence of e_1818. e_2492 is a consequence of e_1193. e_2493 is a consequence of e_2343. e_2493 is a consequence of e_1193. e_2223 is a consequence of e_2311. e_2223 is a consequence of e_1193. e_2495 is a consequence of e_2078. e_2495 is a consequence of e_1193. e_2496 is a consequence of e_1998. e_2496 is a consequence of e_1797. e_2497 is a consequence of e_1998. e_2497 is a consequence of e_1674. Substitution of p13 found in e_2491 : p13=0 Step 8783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2252 is a consequence of e_2034. e_1675 is a consequence of e_2402. e_2128 is a consequence of e_1998.e_2215,e_2402,e_2034,e_2337,e_2306,e_1990, e_2339,e_2290,e_2419,e_2420,e_1931 are consequences of e_2216 Substitution of p17 found in e_2381 : p17=0 Step 8784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_2025 is a consequence of e_1998. e_2025 is a consequence of e_1674. Substitution of p15 found in e_1193 : p15=0 Step 8785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 e_2486 is a consequence of e_2498. Substitution of p2 found in e_1998 : p2=0 Step 8786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2, q1,q27,p18,p16,p14,p8,p7,p6,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2, q1,q27,p18,p16,p14,p8,p6,p7,p20 The list of inequalities got extended by: q1 The list of inequalities got extended by: q4 The lexicographical ordering of unknowns is changed because q4 has to be non-zero, giving q4 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q4,q2, q1,q27,p18,p16,p14,p8,p6,p7,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q2,q4, q1,q27,p18,p16,p14,p8,p6,p7,p20 The list of inequalities got extended by: p6 The list of inequalities got extended by: q28 The lexicographical ordering of unknowns is changed because q28 has to be non-zero, giving q28 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q14,q10,q5,q2,q4, q1,q27,p18,p16,p14,p8,p6,p7,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q14,q10,q5,q2,q28,q4, q1,q27,p18,p16,p14,p8,p6,p7,p20 Substitution of p6 found in e_2216 : p6=0 leads to a contradiction in : 0=p6 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 70 ms The list of inequalities got extended by: p21 The lexicographical ordering of unknowns is changed because p21 has to be non-zero, giving p21 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p21,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2285 : 0=q2 e_949,e_116,e_2011,e_2104,e_1879,e_1797,e_1576,e_2078 are consequences of e_2285 Step 8787: Hot list of urgent steps : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 10 terms e_2142 is a consequence of e_1894. e_1416 is a consequence of e_1843. e_2383 is a consequence of e_1843. e_2311 is a consequence of e_1843. Substitution of q2 found in e_2285 : q2=0 Step 8788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 9 terms e_2456 is a consequence of e_1894. Substitution of q42 found in e_1625 : q42=0 Step 8789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms e_71 is a consequence of e_2474 Substitution of q46 found in e_1626 : q46=0 Step 8790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 20 terms e_1836 is a consequence of e_1843.e_866,e_2008,e_2232,e_2305,e_1832,e_1990 are consequences of e_1836 e_1631 is a consequence of e_1843. e_1662 is a consequence of e_1843. e_2455 is a consequence of e_1843. e_2484 is a consequence of e_1894. Substitution of q44 found in e_1840 : q44=0 Step 8791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 15 terms e_2495 is a consequence of e_1894. e_2475 is a consequence of e_2474. e_2459 is a consequence of e_2089.e_2416,e_1548,e_2385,e_2419 are consequences of e_2459 e_2476 is a consequence of e_2474. Substitution of q45 found in e_1843 : q45=0 Step 8792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 14 terms e_2280 is a consequence of e_1978. e_2040 is a consequence of e_1666. e_2288 is a consequence of e_2151. e_2088 is a consequence of e_1847. Substitution of q27 found in e_1972 : q27=0 Step 8793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 13 terms e_2435 is a consequence of e_2287. e_2435 is a consequence of e_1847. e_2486 is a consequence of e_1894. e_1895 is a consequence of e_2299. Substitution of q28 found in e_1666 : q28=0 Step 8794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 12 terms e_2434 is a consequence of e_1978. e_2511 is a consequence of e_1894. Substitution of q30 found in e_1847 : q30=0 Step 8795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: g0016*q5 + g0017*q4 + g0021*p20 e_2496 is a consequence of e_1894. e_2266 is a consequence of e_2299. e_2487 is a consequence of e_2299. e_1004 is a consequence of e_1894. e_2049 is a consequence of e_2043. e_2065 is a consequence of e_1899. *** Garbage collection starting *** GC 991 4-Oct-2003 19:18:06, 50 ms (0%), 1271741 occupied, 23728196 free e_2489 is a consequence of e_1894. e_2485 is a consequence of e_1894. e_2177 is a consequence of e_1894. e_2225 is a consequence of e_2299. e_2510 is a consequence of e_2299. e_2499 is a consequence of e_2474. Substitution of q1 found in e_1978 : q1=0 Step 8796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: g0017*q4 + g0021*p20 e_1675 is a consequence of e_2299. e_2458 is a consequence of e_2299. e_2457 is a consequence of e_2299. e_2239 is a consequence of e_2299. e_2509 is a consequence of e_2299. e_2216 is a consequence of e_2299. e_2491 is a consequence of e_2502. e_2460 is a consequence of e_2497. e_2490 is a consequence of e_2497. e_2501 is a consequence of e_2275. e_2517 is a consequence of e_2474. Substitution of q5 found in e_1894 : q5=0 Step 8797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 4 terms e_2461 is a consequence of e_2275.e_2377,e_1800,e_2339 are consequences of e_2461 e_2421 is a consequence of e_2275. e_2498 is a consequence of e_2474. e_2500 is a consequence of e_2474.e_888,e_2290 are consequences of e_2279 e_2248 is a consequence of e_2293 e_1737 is a consequence of e_2293. e_2504 is a consequence of e_2293. e_2442 is a consequence of e_2299. e_2477 is a consequence of e_2474. e_2465 is a consequence of e_2275. e_2462 is a consequence of e_2275. Substitution of q10 found in e_2089 : q10=0 Step 8798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_2508 is a consequence of e_1899. e_2497 is a consequence of e_2299.e_14,e_593,e_594,e_2512,e_2515 are consequences of e_2349 e_1738 is a consequence of e_2349. e_2429 is a consequence of e_2474. e_2514 is a consequence of e_2474. Substitution of q37 found in e_2043 : q37=0 Step 8799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_2218 is a consequence of e_2349. e_2000 is a consequence of e_2349. e_2437 is a consequence of e_2349. e_2488 is a consequence of e_2299. e_2516 is a consequence of e_2474. Substitution of q40 found in e_1899 : q40=0 Step 8800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms q4 The list of inequalities got extended by: q38 The lexicographical ordering of unknowns is changed because q38 has to be non-zero, giving q38 a low priority. Old ordering: q41,q39,q38,q36,q14,q4,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p21,p20 New ordering: q41,q39,q36,q14,q38,q4,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p21,p20 The list of inequalities got extended by: An expression with 4 terms e_2464 is a consequence of e_2474. e_2464 is a consequence of e_2265. e_2493 is a consequence of e_2474. The list of inequalities got extended by: q36 The lexicographical ordering of unknowns is changed because q36 has to be non-zero, giving q36 a low priority. Old ordering: q41,q39,q36,q14,q38,q4,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p21,p20 New ordering: q41,q39,q14,q36,q38,q4,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p21,p20 e_2463 is a consequence of e_2474. e_1773 is a consequence of e_2403. e_2333 is a consequence of e_2336. e_2320 is a consequence of e_1804. Substitution of q14 found in e_2275 : q14=0 Step 8801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0030*p7 + g0031*p6 The list of inequalities got extended by: g0049*p16 - g0063*p20 e_2520,e_2521 are consequences of e_2425 e_2302 is a consequence of e_2425. Substitution of p2 found in e_1653 : p2=0 Step 8802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q4=0 because of the non-vanishing expression: q4 The list of inequalities got extended by: p20 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p2,p5,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2321 : 0=q2 e_949,e_116,e_2011,e_1449,e_2104,e_2212,e_1589,e_1879,e_1797,e_1576 are consequences of e_2321 Step 8803: Hot list of urgent steps : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 18 terms e_1670 is a consequence of e_626. e_2348 is a consequence of e_1776. e_2265 is a consequence of e_1776. e_1630 is a consequence of e_1776.e_1899,e_2135 are consequences of e_2423 Substitution of q2 found in e_2321 : q2=0 Step 8804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 26 terms e_2317,e_766,e_2145,e_2089,e_1548,e_2385 are consequences of e_2455 Substitution of q46 found in e_1665 : q46=0 Step 8805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 9 terms e_2468 is a consequence of e_1776. e_2469 is a consequence of e_1762. e_2470 is a consequence of e_2190. e_2471 is a consequence of e_1761. e_2473 is a consequence of e_2190. Substitution of q5 found in e_626 : q5=0 Step 8806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 8 terms Substitution of q42 found in e_1761 : q42=0 Step 8807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 7 terms e_1773 is a consequence of e_1776. e_1773 is a consequence of e_1843. e_2088 is a consequence of e_1776. e_2088 is a consequence of e_1843. e_2288 is a consequence of e_1776. e_2288 is a consequence of e_1843. e_2266 is a consequence of e_1776. e_2476 is a consequence of e_2190. Substitution of q44 found in e_1762 : q44=0 Step 8808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 6 terms e_2485 is a consequence of e_2190. e_2458 is a consequence of e_2456. e_1675 is a consequence of e_2455. e_2459 is a consequence of e_2456. *** Garbage collection starting *** GC 992 4-Oct-2003 19:18:12, 60 ms (0%), 1280366 occupied, 23719584 free Substitution of q45 found in e_1776 : q45=0 Step 8809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 5 terms e_2403 is a consequence of e_2284. e_2327 is a consequence of e_2423. e_2415 is a consequence of e_2048. Substitution of q1 found in e_2190 : q1=0 Step 8810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 4 terms e_1968 is a consequence of e_2048. e_2472 is a consequence of e_2048. e_2479 is a consequence of e_2048. e_2480 is a consequence of e_1792. e_2477 is a consequence of e_2304. e_2475 is a consequence of e_2048. e_2218 is a consequence of e_2048. e_2481 is a consequence of e_1792. e_2478 is a consequence of e_2048. e_2349 is a consequence of e_2304. e_2233 is a consequence of e_2421. e_2328 is a consequence of e_1792. e_1738 is a consequence of e_2081. e_2487 is a consequence of e_2236. e_2490 is a consequence of e_2083. Substitution of q27 found in e_2284 : q27=0 Step 8811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0009*q28 + g0017*q4 + g0021*p20 e_2413 is a consequence of e_2304.e_1002,e_615,e_1666,e_2002,e_2392,e_2384, e_2034,e_2323 are consequences of e_2413 e_1991 is a consequence of e_2304. e_2483 is a consequence of e_2048. e_1804 is a consequence of e_2304. e_2488 is a consequence of e_2482. Substitution of q30 found in e_1792 : q30=0 Step 8812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: g0017*q4 + g0021*p20 e_2395 is a consequence of e_2048. e_2474 is a consequence of e_2048. e_2277 is a consequence of e_2048. e_2486 is a consequence of e_2482. e_2491 is a consequence of e_2489. Substitution of q28 found in e_2304 : q28=0 Step 8813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0053*q14 + g0057*q10 e_14,e_593,e_594,e_2211,e_1783 are consequences of e_2059 e_2484 is a consequence of e_2423. e_2482 is a consequence of e_2081.e_2043,e_2259 are consequences of e_2482 e_2398 is a consequence of e_2489.e_888 is a consequence of e_2492 e_2495 is a consequence of e_2236. Substitution of q4 found in e_2048 : q4=0 Step 8814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_2000 is a consequence of e_2423. e_2391 is a consequence of e_2059. e_2326 is a consequence of e_2083. Substitution of q37 found in e_2081 : q37=0 Step 8815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q10 The list of inequalities got extended by: q14 The list of inequalities got extended by: An expression with 9 terms Substitution of q14 found in e_2236 : q14=0 leads to a contradiction in : 0=q10 + 4*q14 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p4,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p2,p4,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2506 : 0=q2 e_949,e_1298,e_116,e_2011,e_1449,e_2104,e_2212,e_1589,e_1879,e_2263,e_1797, e_1576 are consequences of e_2506 Step 8816: Hot list of urgent steps : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 19 terms e_888 is a consequence of e_2266. e_2389 is a consequence of e_2288. e_2093 is a consequence of e_2288. e_2171 is a consequence of e_2288. e_2308 is a consequence of e_1737. Substitution of q2 found in e_2506 : q2=0 Step 8817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 26 terms Substitution of q46 found in e_1675 : q46=0 Step 8818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 23 terms e_2285 is a consequence of e_2266. Substitution of q42 found in e_1773 : q42=0 Step 8819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 20 terms e_1760 is a consequence of e_2288. e_1760 is a consequence of e_1843. e_1785 is a consequence of e_2288. e_1785 is a consequence of e_1843. e_2414 is a consequence of e_2288. e_2414 is a consequence of e_1843. e_2261 is a consequence of e_2288. e_1796 is a consequence of e_2266. Substitution of q44 found in e_2088 : q44=0 Step 8820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 15 terms e_1678 is a consequence of e_2266. e_2314 is a consequence of e_2140.e_2080,e_2286,e_2089,e_1548,e_2262 are consequences of e_2255 e_925 is a consequence of e_2140. *** Garbage collection starting *** GC 993 4-Oct-2003 19:18:18, 50 ms (0%), 1288283 occupied, 23711667 free Substitution of q45 found in e_2288 : q45=0 Step 8821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 6 terms e_2335 is a consequence of e_2280. e_2235 is a consequence of e_2280. e_2152 is a consequence of e_2280. e_2063 is a consequence of e_2280. Substitution of q5 found in e_2266 : q5=0 Step 8822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 5 terms e_2362 is a consequence of e_2103. e_2400 is a consequence of e_2324. e_1416 is a consequence of e_2324. e_2272 is a consequence of e_2103.e_1437 is a consequence of e_2272 e_2383 is a consequence of e_848.e_2339 is a consequence of e_2330 e_2406 is a consequence of e_2280. Substitution of q4 found in e_2279 : q4=0 Step 8823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 4 terms e_2223 is a consequence of e_2293. e_2353 is a consequence of e_2103. e_2260 is a consequence of e_2103. e_2252 is a consequence of e_2103. e_2217 is a consequence of e_2324. e_2379 is a consequence of e_2269.e_2043,e_2081,e_2259 are consequences of e_2379 e_2330 is a consequence of e_1737.e_1899,e_2135 are consequences of e_2330 e_1512,e_1890 are consequences of e_2049 e_2408 is a consequence of e_2103. Substitution of q1 found in e_2280 : q1=0 Step 8824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: g0053*q14 + g0057*q10 The list of inequalities got extended by: g0007*q30 + g0009*q28 + g0021*p20 e_2216 is a consequence of e_2324.e_1002,e_615,e_1666,e_2002,e_2392,e_2384, e_2034,e_2304,e_2323 are consequences of e_2216 e_2049 is a consequence of e_2293.e_2375,e_617,e_2322,e_1847,e_2287,e_2402, e_1792,e_2343,e_2378,e_2411 are consequences of e_2049 e_2311 is a consequence of e_2324. e_2372 is a consequence of e_2324. e_2090 is a consequence of e_2324. e_2394 is a consequence of e_2293. e_2373 is a consequence of e_2269.e_2185 is a consequence of e_2310 e_2370 is a consequence of e_2040. Substitution of q27 found in e_2103 : q27=0 Step 8825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0009*q28 + g0021*p20 e_2386 is a consequence of e_2324. e_2413 is a consequence of e_2324. e_1470 is a consequence of e_2269. e_1566 is a consequence of e_2324. Substitution of q30 found in e_2293 : q30=0 Step 8826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms e_14,e_593,e_594,e_2387,e_2390 are consequences of e_2344 e_766 is a consequence of e_2269.e_2417 is a consequence of e_2278 e_2256 is a consequence of e_2310. Substitution of q28 found in e_2324 : q28=0 Step 8827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_2100 is a consequence of e_1737. e_2397 is a consequence of e_2344. e_2316 is a consequence of e_2040. Substitution of q37 found in e_2269 : q37=0 Step 8828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_2341 is a consequence of e_2344. e_2226 is a consequence of e_2344. e_2312 is a consequence of e_2344. e_2405 is a consequence of e_2040. e_2298 is a consequence of e_2147. Substitution of q40 found in e_1737 : q40=0 Step 8829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q14 The lexicographical ordering of unknowns is changed because q14 has to be non-zero, giving q14 a low priority. Old ordering: q41,q39,q38,q36,q14,q10,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p2 ,p4,p20 New ordering: q41,q39,q38,q36,q10,q14,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p2 ,p4,p20 The list of inequalities got extended by: p2 The list of inequalities got extended by: q10 The list of inequalities got extended by: p5 The list of inequalities got extended by: An expression with 6 terms Substitution of q10 found in e_2255 : q10=0 leads to a contradiction in : 0=q10 + 4*q14 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 100 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p11,p8,p7,p6,p5,p4,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q30,q28,q27,q14,q10,q5,q4, q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p4,p2,p11,p20 New level : 1.1.1.1.2.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2307 : 0=q45 e_1843,e_1776,e_866,e_2008,e_2288,e_2232 are consequences of e_2307 Step 8830: Hot list of urgent steps : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 27 terms e_2297 is a consequence of e_1870.e_949 is a consequence of e_2297 e_2279 is a consequence of e_2113. e_1737 is a consequence of e_1870. e_2084 is a consequence of e_1870. e_1941 is a consequence of e_1963. e_2100 is a consequence of e_1870. e_2219 is a consequence of e_1870. *** Garbage collection starting *** GC 994 4-Oct-2003 19:18:24, 60 ms (0%), 1341984 occupied, 23657966 free Substitution of q45 found in e_2307 : q45=0 Step 8831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms e_2303 is a consequence of e_2247. e_1903 is a consequence of e_1963. e_2304 is a consequence of e_2247. Substitution of q46 found in e_1632 : q46=0 Step 8832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 18 terms e_1776 is a consequence of e_2113. e_1776 is a consequence of e_1840. e_1843 is a consequence of e_2113. e_1843 is a consequence of e_1840. e_2308 is a consequence of e_2113. e_2308 is a consequence of e_1840. e_2309 is a consequence of e_2113. e_2317 is a consequence of e_1963.e_2080,e_2286,e_2089 are consequences of e_2317 e_2320 is a consequence of e_2128. e_2326 is a consequence of e_2128. Substitution of q42 found in e_1670 : q42=0 Step 8833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 14 terms e_2142 is a consequence of e_2083. e_1789 is a consequence of e_2083. e_2296 is a consequence of e_2083. e_2229 is a consequence of e_2189. e_2305 is a consequence of e_2247. e_1783 is a consequence of e_2083. e_2334 is a consequence of e_2083. e_2281 is a consequence of e_2197. e_2224 is a consequence of e_2083. e_2115 is a consequence of e_2083. e_2250 is a consequence of e_2083. Substitution of q10 found in e_1963 : q10=0 Step 8834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms Substitution of q36 found in e_2189 : q36=0 Step 8835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 11 terms e_2240 is a consequence of e_2197. e_2228 is a consequence of e_2197. e_2192 is a consequence of e_2197. e_2276 is a consequence of e_2197. e_2254 is a consequence of e_2197. e_2294 is a consequence of e_2247. e_2323 is a consequence of e_2113. e_2289 is a consequence of e_2197. e_2055 is a consequence of e_2197. e_2249 is a consequence of e_2197. e_708 is a consequence of e_2197. e_1913 is a consequence of e_2197. e_2344 is a consequence of e_2113. Substitution of q14 found in e_2083 : q14=0 Step 8836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 8 terms e_2327 is a consequence of e_2318. e_2306 is a consequence of e_2247. e_2338 is a consequence of e_2318. e_2308 is a consequence of e_2018. e_2309 is a consequence of e_2128. e_2365 is a consequence of e_2362. e_2314 is a consequence of e_2337. *** Garbage collection starting *** GC 995 4-Oct-2003 19:18:27, 60 ms (0%), 1379102 occupied, 23620848 free Substitution of q44 found in e_2113 : q44=0 Step 8837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 12 terms e_2319 is a consequence of e_1653. e_2317 is a consequence of e_2299. e_2179 is a consequence of e_1907. e_2337 is a consequence of e_2128. e_2335 is a consequence of e_2128. e_2325 is a consequence of e_1653. e_2154 is a consequence of e_2320. e_1512 is a consequence of e_2128. e_1513 is a consequence of e_2128. e_1869 is a consequence of e_2128. e_1991 is a consequence of e_2128. Substitution of q5 by an expression in q4 found in e_2318 : q5=q4 Step 8838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 10 terms e_925 is a consequence of e_2414. e_1763 is a consequence of e_2414.e_1792,e_2096,e_1990,e_1797,e_2093 are consequences of e_1764 e_1566 is a consequence of e_2320. e_1947 is a consequence of e_1653. e_1018 is a consequence of e_2176. e_1832 is a consequence of e_1653. Substitution of q28 by an expression in q27, q1 found in e_2128 : q28=q1 - q27 Step 8839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 10 terms Substitution of q41 by an expression in q30, q4, p6, p11 found in e_1081 : 9 factors in 3 terms Step 8840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 11 terms *** Garbage collection starting *** GC 996 4-Oct-2003 19:18:30, 70 ms (0%), 1409438 occupied, 23590511 free Substitution of q38 by an expression in q30, q4, p4, p11 found in e_2105 : 7 factors in 3 terms Step 8841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q39 by an expression in q4, q2, p14, p11 found in e_2008 : 7 factors in 3 terms Step 8842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 13 terms e_2043 is a consequence of e_2299. Substitution of q37 by an expression in q4, p13, p11 found in e_2099 : - p11*q4 + p13*q4 q37=-------------------- p11 Step 8843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 13 terms e_2313 is a consequence of e_2320. e_2415 is a consequence of e_2320. e_2415 is a consequence of e_2299. e_2414 is a consequence of e_2320. e_2115 is a consequence of e_2320. e_2115 is a consequence of e_1653. e_2304 is a consequence of e_1764. e_2304 is a consequence of e_2320. e_2416 is a consequence of e_2320. e_2362 is a consequence of e_1653. Substitution of q27 by an expression in q4, q1, p5, p11 found in e_2109 : p11*q1 - p5*q4 q27=---------------- p11 Step 8844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 997 4-Oct-2003 19:18:33, 70 ms (0%), 1419272 occupied, 23580677 free The list of inequalities got extended by: An expression with 16 terms Substitution of q40 by an expression in q4, q2, q1, p16, p14, p20 found in e_2310 : 12 factors in 5 terms Step 8845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2043 is a consequence of e_1963. Step 8849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q40 by an expression in q4, q2, q1, p16, p14, p20 found in e_2310 : 12 factors in 5 terms Step 8861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 8894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : Substitution of q40 by an expression in q4, q2, q1, p16, p14, p20 found in e_2310 : 12 factors in 5 terms Step 8899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2499 is a consequence of e_2320. Step 8902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2500 is a consequence of e_1847. Step 8903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 998 4-Oct-2003 19:18:37, 70 ms (0%), 1423320 occupied, 23576630 free --- Algebraic length reduction of equations : shortening by 3 terms Step 8917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 8956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 8957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 8963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2496 is a consequence of e_2320. Step 8966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1513,e_1869,e_2325,e_2154,e_1512,e_2497 are consequences of e_2197 Step 8968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 8991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 8997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 8998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 8999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2498 is a consequence of e_2459. Step 9016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2492 is a consequence of e_2320. Step 9017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2240 is a consequence of e_2321. Step 9022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_1513 is a consequence of e_2281. Step 9025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 999 4-Oct-2003 19:18:40, 70 ms (0%), 1414740 occupied, 23585210 free shortening by 2 terms Step 9050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2465 is a consequence of e_2320. Step 9052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1010 is a consequence of e_1653. Step 9066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2308 is a consequence of e_2320. Step 9067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 19 terms e_2443 is a consequence of e_2008. e_2443 is a consequence of e_2322. e_2448 is a consequence of e_2322. e_2109 is a consequence of e_2322. e_2304 is a consequence of e_2322. e_1787 is a consequence of e_2322. e_2319 is a consequence of e_1903. e_2319 is a consequence of e_2322. e_2309 is a consequence of e_2322. e_2381 is a consequence of e_2322. e_2439 is a consequence of e_2322. Substitution of q30 by an expression in q4, q1, p13, p5, p11 found in e_2083 : 10 factors in 3 terms Step 9069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2214 is a consequence of e_1653. Step 9122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2368 is a consequence of e_1653. Step 9123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2013 is a consequence of e_1653. Step 9124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2464 is a consequence of e_1978. Step 9125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2496 is a consequence of e_2371 Step 9126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2483 is a consequence of e_2320. Step 9127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2330 is a consequence of e_2320. Step 9130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 1000 4-Oct-2003 19:18:44, 60 ms (0%), 1415182 occupied, 23584767 free --- Algebraic length reduction of equations : shortening by 1 term Step 9132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2319 is a consequence of e_2320. Step 9135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2381 is a consequence of e_2320. Step 9137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2439 is a consequence of e_2320. Step 9138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2281 is a consequence of e_2508 Step 9175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1883 is a consequence of e_2508. Step 9177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1632,e_2133,e_2229 are consequences of e_2306 Step 9179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2189 is a consequence of e_2417. Step 9182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2134 is a consequence of e_2306. Step 9184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2055 is a consequence of e_2306. Step 9190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2214 is a consequence of e_2459. Step 9199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 30 terms e_2508,e_2368,e_2177,e_2013,e_1903,e_2464,e_2322 are consequences of e_2496 e_2043 is a consequence of e_2496. e_2460 is a consequence of e_2496. e_2301 is a consequence of e_2496. e_2483 is a consequence of e_2496. e_2481 is a consequence of e_2496. e_2310 is a consequence of e_2496. e_2459 is a consequence of e_2496. e_2457 is a consequence of e_2496. e_2430 is a consequence of e_2496. e_2462 is a consequence of e_2496. e_2369 is a consequence of e_2496. e_2392 is a consequence of e_2496. Substitution of q4 by an expression in q2, q1, p2, p11 found in e_2171 : 8 factors in 3 terms Step 9201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 1001 4-Oct-2003 19:18:48, 70 ms (0%), 1427460 occupied, 23572487 free --- Algebraic length reduction of equations : shortening by 2 terms Step 9202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 9240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 9245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 9246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1002 4-Oct-2003 19:18:52, 70 ms (0%), 1423736 occupied, 23576212 free shortening by 3 terms Step 9344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 9348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2365 is a consequence of e_1589. e_2365 is a consequence of e_1870. Step 9349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2008 is a consequence of e_1589. Step 9350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2423 is a consequence of e_1870. Step 9353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2491 is a consequence of e_1870. Step 9354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2471 is a consequence of e_2347. e_2471 is a consequence of e_2386. Step 9356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2192 is a consequence of e_2347. Step 9358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2488 is a consequence of e_2347. Step 9359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2189 is a consequence of e_2371. Step 9361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1632 is a consequence of e_2466. Step 9363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2327 is a consequence of e_2331. Step 9366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 9377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 9378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2325,e_2386,e_2154,e_1978,e_2426,e_2377,e_2479,e_2371,e_2417,e_2510,e_2347, e_2468 are consequences of e_2463 Step 9381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms q2 The lexicographical ordering of unknowns is changed because q2 has to be non-zero, giving q2 a low priority. Old ordering: q2,q1,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p4,p2,p11,p20 New ordering: q1,q2,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p4,p2,p11,p20 The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 14 terms e_2496 is a consequence of e_2331.e_2482,e_2376,e_2493,e_2383,e_2304,e_2113, e_2171,e_1194,e_2435,e_2462 are consequences of e_2496 e_2453 is a consequence of e_1870. e_2308 is a consequence of e_2331. e_2392 is a consequence of e_2331. e_2392 is a consequence of e_1870. e_2240 is a consequence of e_2331. e_2337 is a consequence of e_2331. e_2339 is a consequence of e_1870. e_2444 is a consequence of e_2331. e_2268 is a consequence of e_1870. e_2246 is a consequence of e_1870. e_2390 is a consequence of e_1870. e_2080 is a consequence of e_2331. e_2449 is a consequence of e_2331. e_2381 is a consequence of e_2331. e_2455 is a consequence of e_1870. e_2205 is a consequence of e_1870. Substitution of q1 found in e_2463 : q1=0 Step 9382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0037*p20 + g0038*p18 + g0039*p16 The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 12 terms e_2497 is a consequence of e_2422 e_1986 is a consequence of e_2422. e_1986 is a consequence of e_2331. e_2088 is a consequence of e_2422. e_2088 is a consequence of e_2331. e_2465 is a consequence of e_2422. e_2465 is a consequence of e_2331. The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q2,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p5,p4,p2,p11,p20 New ordering: q2,p21,p18,p17,p15,p14,p13,p8,p7,p6,p5,p4,p2,p16,p11,p20 The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q2,p21,p18,p17,p15,p14,p13,p8,p7,p6,p5,p4,p2,p16,p11,p20 New ordering: q2,p21,p18,p17,p15,p14,p13,p8,p7,p6,p4,p2,p5,p16,p11,p20 The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q2,p21,p18,p17,p15,p14,p13,p8,p7,p6,p4,p2,p5,p16,p11,p20 New ordering: q2,p21,p18,p17,p14,p13,p8,p7,p6,p4,p2,p15,p5,p16,p11,p20 e_2469 is a consequence of e_1883.e_2466 is a consequence of e_2469 e_2309 is a consequence of e_2331. e_2456 is a consequence of e_2331. Substitution of p14 found in e_1870 : p14=0 leads to a contradiction in : 15 factors in 4 terms This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 190 ms The list of inequalities got extended by: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q25, q18,q14,q10,q5,q4,q2,q1,p21,p18,p17,p16,p15,p14,p13,p11,p8,p7,p6,p5,p4,p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q5,q4,q2,q1,q25,p21,p18,p17,p16,p15,p14,p13,p11,p8,p7,p6,p5,p4,p2,p20 New level : 1.1.1.1.2.1.1.1.1.1.2. CRACK is now called with the new equation e_2275 : 0=p4 e_2027,e_1369,e_1738,e_1675,e_1773 are consequences of e_2275 Step 9383: Hot list of urgent steps : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 5 terms e_2083 is a consequence of e_1760.e_1566,e_1018,e_1832,e_2016,e_1947,e_2177, e_1991,e_2176,e_1869,e_2171,e_1513,e_1512,e_2153,e_1763,e_925,e_2154,e_2106, e_2138,e_2135,e_1682,e_1627,e_2128,e_1870,e_1993,e_1737,e_1632,e_1994,e_1670, e_1963,e_2189 are consequences of e_2088 e_2087 is a consequence of e_2088. e_2089 is a consequence of e_1760. e_1792 is a consequence of e_2108. e_2095 is a consequence of e_2088. e_2101 is a consequence of e_2108. e_2078 is a consequence of e_2108. e_1988 is a consequence of e_2088. e_1903 is a consequence of e_1760. e_2120 is a consequence of e_2088. e_2175 is a consequence of e_1760. e_2051 is a consequence of e_2088. e_2134 is a consequence of e_2088. *** Garbage collection starting *** GC 1003 4-Oct-2003 19:18:57, 60 ms (0%), 1359809 occupied, 23640139 free Substitution of p4 found in e_2275 : p4=0 Step 9384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 4 terms e_2118 is a consequence of e_2088. e_2011 is a consequence of e_1879. e_2141 is a consequence of e_1974. e_2059 is a consequence of e_2088. e_2073 is a consequence of e_2108. e_2142 is a consequence of e_2108. e_1639 is a consequence of e_2088. e_2195 is a consequence of e_2088. e_2196 is a consequence of e_2088. Substitution of p2 found in e_1760 : p2=0 Step 9385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0027*p11 + g0030*p7 + g0031*p6 e_2230 is a consequence of e_2088. e_2231 is a consequence of e_2088. e_888 is a consequence of e_1130. e_2236 is a consequence of e_2088. e_2237 is a consequence of e_2088. e_2204 is a consequence of e_2088. Substitution of p5 found in e_2108 : p5=0 Step 9386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: g0030*p7 + g0031*p6 e_2259 is a consequence of e_2068.e_2094,e_2043,e_2096,e_2020,e_897,e_474,e_1797 ,e_1907,e_1785,e_2063 are consequences of e_2179 e_1858 is a consequence of e_2179. e_2260 is a consequence of e_2081. e_2262 is a consequence of e_2179. e_2266 is a consequence of e_2179. e_2272 is a consequence of e_2179. e_1998 is a consequence of e_1975. e_1369 is a consequence of e_2261. e_2027 is a consequence of e_2261. e_2278 is a consequence of e_2261. e_2280 is a consequence of e_2179. e_2281 is a consequence of e_2179. e_2283 is a consequence of e_2179. e_2285 is a consequence of e_2179. e_2293 is a consequence of e_2233. e_2294 is a consequence of e_2179. e_1899 is a consequence of e_2179. e_2300 is a consequence of e_2179. e_2301 is a consequence of e_2179. e_2302 is a consequence of e_2179.e_593 is a consequence of e_2305 e_2308 is a consequence of e_2179. e_2309 is a consequence of e_2179. e_2140 is a consequence of e_2287.e_2263,e_2192,e_2090,e_2232,e_2284,e_2316 are consequences of e_2317 e_2320 is a consequence of e_2317. e_2321 is a consequence of e_1675. Substitution of p11 found in e_2088 : p11=0 Step 9387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: p6 The list of inequalities got extended by: p7 The list of inequalities got extended by: p15 q5 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q5,q4,q2,q1,q25,p21,p18,p17,p16,p15,p14,p13,p8,p7,p6,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q5,q4,q2,q1,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 The lexicographical ordering of unknowns is changed because q5 has to be non-zero, giving q5 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q5,q4,q2,q1,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q4,q2,q1,q5,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 The list of inequalities got extended by: q4 The lexicographical ordering of unknowns is changed because q4 has to be non-zero, giving q4 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q4,q2,q1,q5,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q2,q1,q4,q5,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 The list of inequalities got extended by: p13 The lexicographical ordering of unknowns is changed because p13 has to be non-zero, giving p13 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q2,q1,q4,q5,q25,p21,p18,p17,p16,p14,p13,p8,p15,p7,p6,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q31,q30,q28,q27,q18, q14,q10,q2,q1,q4,q5,q25,p21,p18,p17,p16,p14,p8,p13,p15,p7,p6,p20 Substitution of p7 found in e_2179 : p7=0 leads to a contradiction in : 0=2*p6 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: q23 The lexicographical ordering of unknowns is changed because q23 has to be non-zero, giving q23 a low priority. Old ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q34,q31,q30,q28,q27, q25,q23,q18,q14,q10,q5,q4,q2,q1,p21,p18,p17,p16,p15,p14,p13,p11,p8,p7,p6,p5,p4, p2,p20 New ordering: q46,q45,q44,q42,q41,q40,q39,q38,q37,q36,q35,q34,q31,q30,q28,q27, q25,q18,q14,q10,q5,q4,q2,q1,q23,p21,p18,p17,p16,p15,p14,p13,p11,p8,p7,p6,p5,p4, p2,p20 New level : 1.1.1.1.2.1.1.1.1.2. CRACK is now called with the new equation e_2179 : 0=p2 e_1804,e_1644,e_1331,e_1760,e_1674,e_1942,e_2008 are consequences of e_2179 ***** PREMATURE STOP DUE TO TIME CONSTRAINT! Time: 100 ms 4: Time: 0 ms 5: 5: n Time: 0 ms 6: Quitting