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: "bu768-4-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 N1f0b2t9s14w45. ####### The system: 2 b(1) =b(2)*b(1) *p13 + Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *p16 t x x 4x + b(2) *b(1)*p10 + b(2) *b(1) *p12 + b(1) *b(2)*p11 2x x x 2x 2 b(2) =b(2) *b(1)*p6 + Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 t x 2x 2x 2 2 + b(2) *p4 + b(1) *p9 + b(1) *b(1)*p1 + b(1) *b(1) *p3 + b(1) *b(1) *p5 x 5x 3x 2x x x It's symmetry: 2 2 b(1) =b(2) *b(1) *q54 + Db(2)*Db(1)*b(2) *q34 + Db(2) *Db(2)*q56 s x 3x + Db(2) *Db(2) *q58 + Db(2) *Db(2)*b(1)*q37 + Db(2) *Db(1)*b(2)*q38 2x x x x + Db(1) *Db(1)*q55 + Db(1) *Db(1) *q57 + Db(1) *Db(1)*b(1)*q39 4x 3x x 2x + Db(1) *Db(2)*b(2)*q35 + Db(1) *Db(1)*b(1) *q36 + b(2) *b(2)*q41 x x x 4x 2 2 + b(2) *b(2) *q43 + b(2) *q47 + b(2) *b(2)*b(1)*q46 + b(2) *b(1)*q51 3x x 2x 2x x + b(2) *b(1) *b(2)*q50 + b(1) *q59 + b(1) *b(1)*q40 + b(1) *b(1) *q42 x x 7x 5x 4x x 2 2 + b(1) *b(1) *q45 + b(1) *b(1) *q44 + b(1) *b(2) *q49 3x 3x 2x 2x 3 3 + b(1) *b(1) *b(1)*q48 + b(1) *q53 + b(1) *b(1) *q52 2x x x x 3 2 b(2) =b(2) *b(1)*q27 + Db(2)*Db(1)*b(1) *q1 + Db(2)*Db(1)*b(1) *q2 s 2x + Db(2) *Db(1)*q28 + Db(2) *Db(1) *q30 + Db(2) *Db(1)*b(1)*q10 4x 3x x 2x + Db(2) *Db(1) *q32 + Db(2) *Db(2)*b(2)*q6 + Db(2) *Db(1)*b(1) *q7 2x 2x x x x - Db(2) *Db(1) *q31 + Db(2) *Db(1) *b(1)*q5 + Db(1) *Db(2)*q29 x 3x x x 4x + Db(1) *Db(2)*b(1)*q8 + Db(1) *Db(1)*b(2)*q9 + Db(1) *Db(2)*b(1) *q3 2x 2x x x + Db(1) *Db(1)*b(2) *q4 + b(2) *q33 + b(2) *b(1)*q11 + b(2) *b(1) *q13 x x 7x 5x 4x x 2 2 + b(2) *b(1) *q16 + b(2) *b(1) *q15 + b(2) *b(2) *q20 + b(2) *b(1) *q17 3x 3x 2x 2x 2x 3x 2 3 + b(2) *b(1) *b(1)*q19 + b(2) *b(2)*q24 + b(2) *b(1) *q25 + b(2) *b(1) *q14 2x x x x x 4x 2 + b(2) *b(1) *b(1)*q21 + b(2) *b(1) *q23 + b(1) *b(2)*q12 x 2x x x 5x 2 + b(1) *b(2)*b(1)*q18 + b(1) *b(1) *b(2)*q22 + b(1) *b(2)*b(1) *q26 3x 2x x x {q58,q57,q56,q55,q39,q38,q37,q36,q35,q34,q32,q31,q30,q29,q28,q10,q9,q8,q7,q6,q5, q4,q3,q2,q1,p15,p14,p8,p7} {p9,p7,p6,p5,p3,p1} {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} {q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,q46,q45,q44,q43,q42,q41,q40 ,q39,q38,q37,q36,q35,q34} {p16,p15,p14,p13,p12,p11,p10} 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)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x df(b(1),s)=q59*b(1) 7x df(b(2),s)=q33*b(2) 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)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x df(b(1),s)=Db(2) *Db(2)*q56 + Db(2) *Db(2) *q58 + Db(1) *Db(1)*q55 3x 2x x 4x + Db(1) *Db(1) *q57 + b(2) *b(2)*q41 + b(2) *b(2) *q43 3x x 4x 3x x 2 + b(2) *q47 + b(1) *b(1)*q40 + b(1) *b(1) *q42 2x 5x 4x x + b(1) *b(1) *q44 3x 2x df(b(2),s)=Db(2) *Db(1)*q28 + Db(2) *Db(1) *q30 + Db(2) *Db(1) *q32 4x 3x x 2x 2x - Db(2) *Db(1) *q31 + Db(1) *Db(2)*q29 + b(2) *b(1)*q11 x 3x 4x 5x + b(2) *b(1) *q13 + b(2) *b(1) *q15 + b(2) *b(1) *q17 4x x 3x 2x 2x 3x + b(2) *b(1) *q14 + b(1) *b(2)*q12 x 4x 5x Pairing now degree 2 terms from the system with degree 1 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x df(b(1),s)=q59*b(1) 7x df(b(2),s)=q33*b(2) 7x Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry *** Garbage collection starting *** GC 1 4-Oct-2003 10:41:44, 30 ms (1%), 924042 occupied, 24075910 free df(b(1),t)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x df(b(1),s)=Db(2)*Db(1)*b(2) *q34 + Db(2) *Db(2)*b(1)*q37 + Db(2) *Db(1)*b(2)*q38 x x x + Db(1) *Db(1)*b(1)*q39 + Db(1) *Db(2)*b(2)*q35 2x x 2 + Db(1) *Db(1)*b(1) *q36 + b(2) *b(2)*b(1)*q46 + b(2) *b(1)*q51 x x 2x x 2 2 + b(2) *b(1) *b(2)*q50 + b(1) *b(1) *q45 + b(1) *b(2) *q49 x x 3x 2x 3 + b(1) *b(1) *b(1)*q48 + b(1) *q53 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q2 + Db(2) *Db(1)*b(1)*q10 + Db(2) *Db(2)*b(2)*q6 2x 2x x + Db(2) *Db(1)*b(1) *q7 + Db(2) *Db(1) *b(1)*q5 x x x x + Db(1) *Db(2)*b(1)*q8 + Db(1) *Db(1)*b(2)*q9 2x 2x 2 + Db(1) *Db(2)*b(1) *q3 + Db(1) *Db(1)*b(2) *q4 + b(2) *b(1) *q16 x x x x 3x 2 2 + b(2) *b(2) *q20 + b(2) *b(1) *b(1)*q19 + b(2) *b(2)*q24 2x 2x x x 2 + b(2) *b(1) *b(1)*q21 + b(2) *b(1) *q23 + b(1) *b(2)*b(1)*q18 x 2x x x 3x + b(1) *b(1) *b(2)*q22 2x x Pairing now degree 2 terms from the system with degree 2 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x df(b(1),s)=Db(2) *Db(2)*q56 + Db(2) *Db(2) *q58 + Db(1) *Db(1)*q55 3x 2x x 4x + Db(1) *Db(1) *q57 + b(2) *b(2)*q41 + b(2) *b(2) *q43 3x x 4x 3x x 2 + b(2) *q47 + b(1) *b(1)*q40 + b(1) *b(1) *q42 2x 5x 4x x + b(1) *b(1) *q44 3x 2x df(b(2),s)=Db(2) *Db(1)*q28 + Db(2) *Db(1) *q30 + Db(2) *Db(1) *q32 4x 3x x 2x 2x - Db(2) *Db(1) *q31 + Db(1) *Db(2)*q29 + b(2) *b(1)*q11 x 3x 4x 5x + b(2) *b(1) *q13 + b(2) *b(1) *q15 + b(2) *b(1) *q17 4x x 3x 2x 2x 3x + b(2) *b(1) *q14 + b(1) *b(2)*q12 x 4x 5x *** Garbage collection starting *** GC 2 4-Oct-2003 10:42:22, 30 ms (0%), 1101150 occupied, 23898801 free *** Garbage collection starting *** GC 3 4-Oct-2003 10:43:37, 40 ms (0%), 1156690 occupied, 23843262 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x df(b(1),s)=q59*b(1) 7x df(b(2),s)=q33*b(2) 7x *** Garbage collection starting *** GC 4 4-Oct-2003 10:44:04, 30 ms (0%), 989936 occupied, 24010015 free *** Garbage collection starting *** GC 5 4-Oct-2003 10:44:57, 30 ms (0%), 990790 occupied, 24009162 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)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x 2 2 df(b(1),s)=b(1) *(b(2) *q54 + b(1) *b(1)*q52) x 3 2 df(b(2),s)=b(1)*(b(2) *q27 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q25 x + b(1) *b(2)*b(1)*q26) x Pairing now degree 2 terms from the system with degree 3 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x df(b(1),s)=Db(2)*Db(1)*b(2) *q34 + Db(2) *Db(2)*b(1)*q37 + Db(2) *Db(1)*b(2)*q38 x x x *** Garbage collection starting *** GC 6 4-Oct-2003 10:45:55, 30 ms (0%), 953254 occupied, 24046697 free + Db(1) *Db(1)*b(1)*q39 + Db(1) *Db(2)*b(2)*q35 2x x 2 + Db(1) *Db(1)*b(1) *q36 + b(2) *b(2)*b(1)*q46 + b(2) *b(1)*q51 x x 2x x 2 2 + b(2) *b(1) *b(2)*q50 + b(1) *b(1) *q45 + b(1) *b(2) *q49 x x 3x 2x 3 + b(1) *b(1) *b(1)*q48 + b(1) *q53 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q2 + Db(2) *Db(1)*b(1)*q10 + Db(2) *Db(2)*b(2)*q6 2x 2x x + Db(2) *Db(1)*b(1) *q7 + Db(2) *Db(1) *b(1)*q5 x x x x + Db(1) *Db(2)*b(1)*q8 + Db(1) *Db(1)*b(2)*q9 2x 2x 2 + Db(1) *Db(2)*b(1) *q3 + Db(1) *Db(1)*b(2) *q4 + b(2) *b(1) *q16 x x x x 3x 2 2 + b(2) *b(2) *q20 + b(2) *b(1) *b(1)*q19 + b(2) *b(2)*q24 2x 2x x x 2 + b(2) *b(1) *b(1)*q21 + b(2) *b(1) *q23 + b(1) *b(2)*b(1)*q18 x 2x x x 3x + b(1) *b(1) *b(2)*q22 2x x *** Garbage collection starting *** GC 7 4-Oct-2003 10:46:49, 20 ms (0%), 962222 occupied, 24037730 free *** Garbage collection starting *** GC 8 4-Oct-2003 10:47:28, 40 ms (0%), 1134812 occupied, 23865140 free Pairing now degree 3 terms from the system with degree 2 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x df(b(1),s)=Db(2) *Db(2)*q56 + Db(2) *Db(2) *q58 + Db(1) *Db(1)*q55 3x 2x x 4x + Db(1) *Db(1) *q57 + b(2) *b(2)*q41 + b(2) *b(2) *q43 3x x 4x 3x x 2 + b(2) *q47 + b(1) *b(1)*q40 + b(1) *b(1) *q42 2x 5x 4x x + b(1) *b(1) *q44 3x 2x df(b(2),s)=Db(2) *Db(1)*q28 + Db(2) *Db(1) *q30 + Db(2) *Db(1) *q32 4x 3x x 2x 2x - Db(2) *Db(1) *q31 + Db(1) *Db(2)*q29 + b(2) *b(1)*q11 x 3x 4x 5x + b(2) *b(1) *q13 + b(2) *b(1) *q15 + b(2) *b(1) *q17 4x x 3x 2x 2x 3x + b(2) *b(1) *q14 + b(1) *b(2)*q12 x 4x 5x *** Garbage collection starting *** GC 9 4-Oct-2003 10:48:53, 30 ms (0%), 1051128 occupied, 23948823 free *** Garbage collection starting *** GC 10 4-Oct-2003 10:50:00, 40 ms (0%), 1075606 occupied, 23924346 free *** Garbage collection starting *** GC 11 4-Oct-2003 10:51:45, 30 ms (0%), 1114066 occupied, 23885885 free Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x 2 2 df(b(1),s)=b(1) *(b(2) *q54 + b(1) *b(1)*q52) x 3 2 df(b(2),s)=b(1)*(b(2) *q27 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q25 x + b(1) *b(2)*b(1)*q26) x Pairing now degree 3 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x df(b(1),s)=Db(2)*Db(1)*b(2) *q34 + Db(2) *Db(2)*b(1)*q37 + Db(2) *Db(1)*b(2)*q38 x x x + Db(1) *Db(1)*b(1)*q39 + Db(1) *Db(2)*b(2)*q35 2x x 2 + Db(1) *Db(1)*b(1) *q36 + b(2) *b(2)*b(1)*q46 + b(2) *b(1)*q51 x x 2x x 2 2 + b(2) *b(1) *b(2)*q50 + b(1) *b(1) *q45 + b(1) *b(2) *q49 x x 3x 2x 3 + b(1) *b(1) *b(1)*q48 + b(1) *q53 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q2 + Db(2) *Db(1)*b(1)*q10 + Db(2) *Db(2)*b(2)*q6 2x 2x x + Db(2) *Db(1)*b(1) *q7 + Db(2) *Db(1) *b(1)*q5 x x x x + Db(1) *Db(2)*b(1)*q8 + Db(1) *Db(1)*b(2)*q9 2x 2x 2 + Db(1) *Db(2)*b(1) *q3 + Db(1) *Db(1)*b(2) *q4 + b(2) *b(1) *q16 x x x x 3x 2 2 + b(2) *b(2) *q20 + b(2) *b(1) *b(1)*q19 + b(2) *b(2)*q24 2x 2x x x 2 + b(2) *b(1) *b(1)*q21 + b(2) *b(1) *q23 + b(1) *b(2)*b(1)*q18 x 2x x x 3x + b(1) *b(1) *b(2)*q22 2x x *** Garbage collection starting *** GC 12 4-Oct-2003 10:53:35, 30 ms (0%), 1008868 occupied, 23991084 free Generating all terms of total degree 7 Pairing now degree 3 terms from the system with degree 4 terms from the symmetry *** Garbage collection starting *** GC 13 4-Oct-2003 10:56:17, 30 ms (0%), 1007228 occupied, 23992724 free 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x 2 2 df(b(1),s)=b(1) *(b(2) *q54 + b(1) *b(1)*q52) x 3 2 df(b(2),s)=b(1)*(b(2) *q27 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q25 x + b(1) *b(2)*b(1)*q26) x Now crack is called. *** Garbage collection starting *** GC 14 4-Oct-2003 10:59:03, 30 ms (0%), 1091018 occupied, 23908933 free ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is CRACK - a solver for overdetermined partial differential equations Enter `h' for help. The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 6 terms 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 7 terms *** Garbage collection starting *** GC 15 4-Oct-2003 11:01:31, 30 ms (0%), 1119617 occupied, 23880335 free *** Garbage collection starting *** GC 16 4-Oct-2003 11:01:35, 40 ms (0%), 1131325 occupied, 23868626 free *** Garbage collection starting *** GC 17 4-Oct-2003 11:01:39, 40 ms (0%), 1240097 occupied, 23759855 free *** Garbage collection starting *** GC 18 4-Oct-2003 11:01:57, 40 ms (0%), 1173143 occupied, 23826808 free *** Garbage collection starting *** GC 19 4-Oct-2003 11:02:38, 40 ms (0%), 1210635 occupied, 23789317 free *** Garbage collection starting *** GC 20 4-Oct-2003 11:03:20, 50 ms (0%), 1295385 occupied, 23704566 free *** Garbage collection starting *** GC 21 4-Oct-2003 11:04:03, 50 ms (0%), 1382553 occupied, 23617399 free *** Garbage collection starting *** GC 22 4-Oct-2003 11:04:48, 50 ms (0%), 1457601 occupied, 23542350 free *** Garbage collection starting *** GC 23 4-Oct-2003 11:05:34, 60 ms (0%), 1526677 occupied, 23473275 free *** Garbage collection starting *** GC 24 4-Oct-2003 11:06:21, 70 ms (0%), 1589923 occupied, 23410028 free *** Garbage collection starting *** GC 25 4-Oct-2003 11:07:11, 70 ms (0%), 1646017 occupied, 23353935 free *** Garbage collection starting *** GC 26 4-Oct-2003 11:08:03, 70 ms (0%), 1786721 occupied, 23213230 free *** Garbage collection starting *** GC 27 4-Oct-2003 11:09:25, 40 ms (0%), 1245207 occupied, 23754745 free *** Garbage collection starting *** GC 28 4-Oct-2003 11:10:44, 50 ms (0%), 1258951 occupied, 23741000 free *** Garbage collection starting *** GC 29 4-Oct-2003 11:12:09, 50 ms (0%), 1348631 occupied, 23651321 free *** Garbage collection starting *** GC 30 4-Oct-2003 11:13:35, 50 ms (0%), 1416395 occupied, 23583556 free *** Garbage collection starting *** GC 31 4-Oct-2003 11:15:02, 60 ms (0%), 1495933 occupied, 23504019 free *** Garbage collection starting *** GC 32 4-Oct-2003 11:16:28, 60 ms (0%), 1572463 occupied, 23427488 free *** Garbage collection starting *** GC 33 4-Oct-2003 11:17:56, 70 ms (0%), 1645595 occupied, 23354357 free *** Garbage collection starting *** GC 34 4-Oct-2003 11:19:23, 70 ms (0%), 1718239 occupied, 23281712 free *** Garbage collection starting *** GC 35 4-Oct-2003 11:20:51, 70 ms (0%), 1793725 occupied, 23206227 free *** Garbage collection starting *** GC 36 4-Oct-2003 11:22:19, 80 ms (0%), 1860267 occupied, 23139684 free *** Garbage collection starting *** GC 37 4-Oct-2003 11:23:47, 90 ms (0%), 1934083 occupied, 23065869 free *** Garbage collection starting *** GC 38 4-Oct-2003 11:25:16, 90 ms (0%), 2004757 occupied, 22995195 free *** Garbage collection starting *** GC 39 4-Oct-2003 11:26:45, 90 ms (0%), 2075715 occupied, 22924236 free *** Garbage collection starting *** GC 40 4-Oct-2003 11:28:16, 100 ms (0%), 2135649 occupied, 22864303 free *** Garbage collection starting *** GC 41 4-Oct-2003 11:29:48, 100 ms (0%), 2184675 occupied, 22815276 free *** Garbage collection starting *** GC 42 4-Oct-2003 11:31:09, 110 ms (0%), 2366673 occupied, 22633279 free *** Garbage collection starting *** GC 43 4-Oct-2003 11:32:10, 40 ms (0%), 1220577 occupied, 23779374 free *** Garbage collection starting *** GC 44 4-Oct-2003 11:32:37, 40 ms (0%), 1226889 occupied, 23773063 free *** Garbage collection starting *** GC 45 4-Oct-2003 11:33:04, 40 ms (0%), 1274461 occupied, 23725490 free *** Garbage collection starting *** GC 46 4-Oct-2003 11:33:32, 50 ms (0%), 1325493 occupied, 23674459 free *** Garbage collection starting *** GC 47 4-Oct-2003 11:34:01, 60 ms (0%), 1374797 occupied, 23625154 free *** Garbage collection starting *** GC 48 4-Oct-2003 11:34:31, 60 ms (0%), 1421965 occupied, 23577987 free *** Garbage collection starting *** GC 49 4-Oct-2003 11:35:01, 50 ms (0%), 1466875 occupied, 23533076 free *** Garbage collection starting *** GC 50 4-Oct-2003 11:35:33, 60 ms (0%), 1510969 occupied, 23488983 free *** Garbage collection starting *** GC 51 4-Oct-2003 11:36:06, 60 ms (0%), 1589895 occupied, 23410054 free *** Garbage collection starting *** GC 52 4-Oct-2003 11:37:01, 50 ms (0%), 1244939 occupied, 23755013 free *** Garbage collection starting *** GC 53 4-Oct-2003 11:37:38, 40 ms (0%), 1245975 occupied, 23753976 free *** Garbage collection starting *** GC 54 4-Oct-2003 11:38:20, 40 ms (0%), 1283613 occupied, 23716339 free *** Garbage collection starting *** GC 55 4-Oct-2003 11:39:03, 50 ms (0%), 1334771 occupied, 23665181 free *** Garbage collection starting *** GC 56 4-Oct-2003 11:39:46, 50 ms (0%), 1378607 occupied, 23621344 free *** Garbage collection starting *** GC 57 4-Oct-2003 11:40:31, 50 ms (0%), 1427067 occupied, 23572885 free *** Garbage collection starting *** GC 58 4-Oct-2003 11:41:15, 60 ms (0%), 1473407 occupied, 23526544 free *** Garbage collection starting *** GC 59 4-Oct-2003 11:42:01, 60 ms (0%), 1517725 occupied, 23482227 free *** Garbage collection starting *** GC 60 4-Oct-2003 11:42:47, 70 ms (0%), 1559559 occupied, 23440392 free *** Garbage collection starting *** GC 61 4-Oct-2003 11:43:33, 60 ms (0%), 1600309 occupied, 23399643 free *** Garbage collection starting *** GC 62 4-Oct-2003 11:44:21, 70 ms (0%), 1642797 occupied, 23357155 free *** Garbage collection starting *** GC 63 4-Oct-2003 11:45:10, 70 ms (0%), 1686597 occupied, 23313354 free *** Garbage collection starting *** GC 64 4-Oct-2003 11:45:57, 80 ms (0%), 1825227 occupied, 23174725 free *** Garbage collection starting *** GC 65 4-Oct-2003 11:46:36, 40 ms (0%), 1195873 occupied, 23804078 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 : 2 4 b(1) *b(2) 3 b(1) *b(2)*Db(1)*Db(2) 4 b(1) *Db(1)*Db(1) x 4 b(1) *b(2)*b(2) x 5 b(1) *b(1) 2x 4 2 b(1) *b(1) x 3 2 b(1) *b(2) *b(1) x Separation of e_2 yields (e_22 e_21 e_19 e_18 e_23 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 66 4-Oct-2003 11:46:38, 40 ms (0%), 1196935 occupied, 23803017 free Separation of e_10 yields (e_43 e_34 e_42 e_41 e_40 e_39 e_38 e_36 e_35 e_33 e_29 e_37 e_32 e_31 e_28 e_25 e_24 e_30 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 *** Garbage collection starting *** GC 67 4-Oct-2003 11:46:41, 40 ms (0%), 1207209 occupied, 23792742 free Separation of e_9 yields (e_54 e_44 e_62 e_55 e_53 e_45 e_60 e_61 e_56 e_52 e_46 e_59 e_57 e_58 e_51 e_50 e_47 e_49 e_48) 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 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 68 4-Oct-2003 11:46:44, 50 ms (0%), 1211677 occupied, 23788275 free Separation of e_3 yields (e_84 e_79 e_81 e_77 e_74 e_66 e_63 e_87 e_86 e_82 e_80 e_67 e_90 e_75 e_68 e_64 e_85 e_73 e_70 e_89 e_88 e_78 e_76 e_72 e_71 e_83 e_69 e_65) 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 69 4-Oct-2003 11:46:50, 50 ms (0%), 1277467 occupied, 23722485 free *** Garbage collection starting *** GC 70 4-Oct-2003 11:47:00, 50 ms (0%), 1213655 occupied, 23786296 free Separation of e_4 yields (e_132 e_126 e_128 e_124 e_115 e_107 e_99 e_95 e_127 e_120 e_116 e_112 e_108 e_104 e_92 e_109 e_100 e_96 e_91 e_118 e_111 e_110 e_106 e_129 e_121 e_113 e_133 e_130 e_119 e_123 e_122 e_117 e_98 e_97 e_94 e_125 e_103 e_131 e_114 e_105 e_101 e_93 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 71 4-Oct-2003 11:47:03, 50 ms (0%), 1232729 occupied, 23767223 free *** Garbage collection starting *** GC 72 4-Oct-2003 11:47:39, 50 ms (0%), 1317303 occupied, 23682648 free *** Garbage collection starting *** GC 73 4-Oct-2003 11:49:09, 50 ms (0%), 1381221 occupied, 23618731 free *** Garbage collection starting *** GC 74 4-Oct-2003 11:51:22, 60 ms (0%), 1501009 occupied, 23498942 free *** Garbage collection starting *** GC 75 4-Oct-2003 11:52:31, 40 ms (0%), 1228597 occupied, 23771355 free *** Garbage collection starting *** GC 76 4-Oct-2003 11:52:33, 40 ms (0%), 1238611 occupied, 23761340 free *** Garbage collection starting *** GC 77 4-Oct-2003 11:52:35, 50 ms (0%), 1246417 occupied, 23753535 free Separation of e_7 yields (e_171 e_178 e_177 e_159 e_137 e_174 e_167 e_145 e_208 e_207 e_197 e_160 e_134 e_202 e_183 e_150 e_205 e_192 e_190 e_180 e_176 e_170 e_165 e_153 e_141 e_138 e_136 e_135 e_209 e_201 e_175 e_169 e_157 e_155 e_149 e_204 e_199 e_195 e_189 e_166 e_163 e_158 e_154 e_139 e_206 e_196 e_194 e_187 e_173 e_146 e_140 e_182 e_172 e_162 e_144 e_142 e_184 e_164 e_156 e_148 e_143 e_203 e_200 e_185 e_181 e_179 e_168 e_161 e_152 e_198 e_191 e_188 e_193 e_151 e_147 e_186) 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 78 4-Oct-2003 11:52:45, 40 ms (0%), 1281843 occupied, 23718108 free *** Garbage collection starting *** GC 79 4-Oct-2003 11:53:52, 50 ms (0%), 1345943 occupied, 23654009 free *** Garbage collection starting *** GC 80 4-Oct-2003 11:55:45, 60 ms (0%), 1440565 occupied, 23559385 free *** Garbage collection starting *** GC 81 4-Oct-2003 11:58:20, 60 ms (0%), 1543445 occupied, 23456505 free *** Garbage collection starting *** GC 82 4-Oct-2003 12:00:42, 40 ms (0%), 1242949 occupied, 23757002 free *** Garbage collection starting *** GC 83 4-Oct-2003 12:00:45, 40 ms (0%), 1248145 occupied, 23751807 free *** Garbage collection starting *** GC 84 4-Oct-2003 12:00:47, 50 ms (0%), 1262541 occupied, 23737410 free *** Garbage collection starting *** GC 85 4-Oct-2003 12:00:49, 50 ms (0%), 1273561 occupied, 23726391 free Separation of e_5 yields (e_258 e_214 e_265 e_253 e_219 e_285 e_259 e_222 e_260 e_254 e_243 e_236 e_287 e_275 e_270 e_251 e_246 e_215 e_286 e_277 e_266 e_248 e_235 e_225 e_223 e_221 e_283 e_276 e_269 e_245 e_230 e_288 e_247 e_229 e_228 e_220 e_211 e_210 e_292 e_281 e_273 e_261 e_257 e_256 e_255 e_252 e_244 e_227 e_217 e_216 e_213 e_212 e_290 e_282 e_280 e_272 e_271 e_263 e_262 e_237 e_291 e_278 e_264 e_250 e_242 e_238 e_234 e_233 e_231 e_226 e_284 e_274 e_241 e_240 e_232 e_249 e_239 e_289 e_268 e_218 e_279 e_224 e_267) 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 86 4-Oct-2003 12:01:20, 60 ms (0%), 1381829 occupied, 23618122 free *** Garbage collection starting *** GC 87 4-Oct-2003 12:02:47, 60 ms (0%), 1490695 occupied, 23509255 free *** Garbage collection starting *** GC 88 4-Oct-2003 12:04:53, 70 ms (0%), 1579233 occupied, 23420718 free *** Garbage collection starting *** GC 89 4-Oct-2003 12:07:38, 80 ms (0%), 1716611 occupied, 23283339 free *** Garbage collection starting *** GC 90 4-Oct-2003 12:10:38, 50 ms (0%), 1251815 occupied, 23748137 free *** Garbage collection starting *** GC 91 4-Oct-2003 12:10:40, 50 ms (0%), 1261407 occupied, 23738544 free *** Garbage collection starting *** GC 92 4-Oct-2003 12:10:43, 50 ms (0%), 1275667 occupied, 23724285 free *** Garbage collection starting *** GC 93 4-Oct-2003 12:10:45, 40 ms (0%), 1281747 occupied, 23718205 free Separation of e_8 yields (e_377 e_376 e_322 e_372 e_373 e_344 e_343 e_341 e_334 e_303 e_302 e_369 e_361 e_355 e_338 e_375 e_321 e_320 e_296 e_378 e_374 e_367 e_349 e_337 e_332 e_330 e_305 e_299 e_294 e_363 e_340 e_328 e_312 e_309 e_308 e_304 e_293 e_368 e_366 e_358 e_354 e_352 e_348 e_342 e_329 e_325 e_323 e_319 e_316 e_307 e_301 e_300 e_298 e_365 e_364 e_359 e_351 e_336 e_333 e_318 e_317 e_313 e_306 e_371 e_370 e_360 e_356 e_347 e_339 e_335 e_331 e_324 e_310 e_297 e_295 e_362 e_357 e_350 e_345 e_326 e_315 e_353 e_346 e_314 e_311 e_327) e_377 is a consequence of e_178. e_376 is a consequence of e_177. e_322 is a consequence of e_137. 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 94 4-Oct-2003 12:10:56, 50 ms (0%), 1343783 occupied, 23656168 free *** Garbage collection starting *** GC 95 4-Oct-2003 12:11:56, 60 ms (0%), 1392003 occupied, 23607949 free *** Garbage collection starting *** GC 96 4-Oct-2003 12:13:44, 70 ms (0%), 1511461 occupied, 23488490 free *** Garbage collection starting *** GC 97 4-Oct-2003 12:16:09, 70 ms (0%), 1642697 occupied, 23357255 free *** Garbage collection starting *** GC 98 4-Oct-2003 12:19:09, 80 ms (0%), 1749293 occupied, 23250657 free *** Garbage collection starting *** GC 99 4-Oct-2003 12:22:38, 90 ms (0%), 1851249 occupied, 23148701 free *** Garbage collection starting *** GC 100 4-Oct-2003 12:26:41, 90 ms (0%), 1948273 occupied, 23051675 free *** Garbage collection starting *** GC 101 4-Oct-2003 12:31:15, 100 ms (0%), 2042447 occupied, 22957502 free *** Garbage collection starting *** GC 102 4-Oct-2003 12:34:46, 50 ms (0%), 1276187 occupied, 23723764 free *** Garbage collection starting *** GC 103 4-Oct-2003 12:34:48, 50 ms (0%), 1290409 occupied, 23709543 free *** Garbage collection starting *** GC 104 4-Oct-2003 12:34:50, 50 ms (0%), 1296371 occupied, 23703581 free *** Garbage collection starting *** GC 105 4-Oct-2003 12:34:52, 50 ms (0%), 1304529 occupied, 23695422 free *** Garbage collection starting *** GC 106 4-Oct-2003 12:34:54, 60 ms (0%), 1313919 occupied, 23686033 free Separation of e_6 yields (e_477 e_396 e_471 e_411 e_407 e_465 e_458 e_403 e_401 e_459 e_478 e_433 e_479 e_472 e_390 e_473 e_444 e_443 e_442 e_440 e_434 e_413 e_412 e_380 e_379 e_469 e_462 e_460 e_422 e_384 e_381 e_463 e_451 e_423 e_417 e_404 e_389 e_476 e_475 e_474 e_432 e_424 e_410 e_399 e_385 e_484 e_480 e_439 e_416 e_415 e_408 e_395 e_387 e_468 e_464 e_461 e_445 e_438 e_437 e_436 e_435 e_427 e_426 e_418 e_409 e_402 e_393 e_388 e_386 e_383 e_457 e_455 e_450 e_447 e_441 e_425 e_394 e_391 e_470 e_449 e_428 e_421 e_420 e_414 e_405 e_398 e_483 e_454 e_431 e_481 e_466 e_446 e_429 e_406 e_400 e_397 e_382 e_482 e_467 e_419 e_456 e_452 e_448 e_430 e_392 e_453) e_477 is a consequence of e_258. e_411 is a consequence of e_214. 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 : 4480 total no of factors : 8954 466 equations in 0 variables: e_453(22),e_430(20),e_392(20),e_456(19),e_452(19),e_448(19),e_267(18), e_482(18),e_467(18),e_419(18),e_186(17),e_279(17),e_224(17),e_481(17), e_466(17),e_446(17),e_429(17),e_406(17),e_400(17),e_397(17),e_382(17), e_193(16),e_151(16),e_147(16),e_289(16),e_268(16),e_218(16),e_327(16), e_483(16),e_454(16),e_431(16),e_102(15),e_198(15),e_191(15),e_188(15), e_249(15),e_239(15),e_353(15),e_346(15),e_314(15),e_311(15),e_470(15), e_449(15),e_428(15),e_421(15),e_420(15),e_414(15),e_405(15),e_398(15), e_203(14),e_200(14),e_185(14),e_181(14),e_179(14),e_168(14),e_161(14), e_152(14),e_284(14),e_274(14),e_241(14),e_240(14),e_232(14),e_362(14), e_357(14),e_350(14),e_345(14),e_326(14),e_315(14),e_457(14),e_455(14), e_450(14),e_447(14),e_441(14),e_425(14),e_394(14),e_391(14),e_131(13), e_114(13),e_105(13),e_101(13),e_93(13),e_184(13),e_164(13),e_156(13), e_148(13),e_143(13),e_291(13),e_278(13),e_264(13),e_250(13),e_242(13), e_238(13),e_234(13),e_233(13),e_231(13),e_226(13),e_371(13),e_370(13), e_360(13),e_356(13),e_347(13),e_339(13),e_335(13),e_331(13),e_324(13), e_310(13),e_297(13),e_295(13),e_468(13),e_464(13),e_461(13),e_445(13), e_438(13),e_437(13),e_436(13),e_435(13),e_427(13),e_426(13),e_418(13), e_409(13),e_402(13),e_393(13),e_388(13),e_386(13),e_383(13),e_103(12), e_182(12),e_172(12),e_162(12),e_144(12),e_142(12),e_290(12),e_282(12), e_280(12),e_272(12),e_271(12),e_263(12),e_262(12),e_237(12),e_365(12), e_364(12),e_359(12),e_351(12),e_336(12),e_333(12),e_318(12),e_317(12), e_313(12),e_306(12),e_484(12),e_480(12),e_439(12),e_416(12),e_415(12), e_408(12),e_395(12),e_387(12),e_65(11),e_125(11),e_206(11),e_196(11), e_194(11),e_187(11),e_173(11),e_146(11),e_140(11),e_292(11),e_281(11), e_273(11),e_261(11),e_257(11),e_256(11),e_255(11),e_252(11),e_244(11), e_227(11),e_217(11),e_216(11),e_213(11),e_212(11),e_368(11),e_366(11), e_358(11),e_354(11),e_352(11),e_348(11),e_342(11),e_329(11),e_325(11), e_323(11),e_319(11),e_316(11),e_307(11),e_301(11),e_300(11),e_298(11), e_476(11),e_475(11),e_474(11),e_432(11),e_424(11),e_410(11),e_399(11), e_385(11),e_48(10),e_83(10),e_69(10),e_123(10),e_122(10),e_117(10), e_98(10),e_97(10),e_94(10),e_204(10),e_199(10),e_195(10),e_189(10), e_166(10),e_163(10),e_158(10),e_154(10),e_139(10),e_288(10),e_247(10), e_229(10),e_228(10),e_220(10),e_211(10),e_210(10),e_363(10),e_340(10), e_328(10),e_312(10),e_309(10),e_308(10),e_304(10),e_293(10),e_463(10), e_451(10),e_423(10),e_417(10),e_404(10),e_389(10),e_49(9),e_89(9), e_88(9),e_78(9),e_76(9),e_72(9),e_71(9),e_133(9),e_130(9),e_119(9), e_209(9),e_201(9),e_175(9),e_169(9),e_157(9),e_155(9),e_149(9), e_283(9),e_276(9),e_269(9),e_245(9),e_230(9),e_378(9),e_374(9), e_367(9),e_349(9),e_337(9),e_332(9),e_330(9),e_305(9),e_299(9), e_294(9),e_469(9),e_462(9),e_460(9),e_422(9),e_384(9),e_381(9), e_58(8),e_51(8),e_50(8),e_47(8),e_85(8),e_73(8),e_70(8),e_129(8), e_121(8),e_113(8),e_205(8),e_192(8),e_190(8),e_180(8),e_176(8), e_170(8),e_165(8),e_153(8),e_141(8),e_138(8),e_136(8),e_135(8), e_286(8),e_277(8),e_266(8),e_248(8),e_235(8),e_225(8),e_223(8), e_221(8),e_375(8),e_321(8),e_320(8),e_296(8),e_30(7),e_27(7),e_26(7), e_59(7),e_57(7),e_68(7),e_64(7),e_118(7),e_111(7),e_110(7),e_106(7), e_202(7),e_183(7),e_150(7),e_287(7),e_275(7),e_270(7),e_251(7), e_246(7),e_215(7),e_369(7),e_361(7),e_355(7),e_338(7),e_473(7), e_444(7),e_443(7),e_442(7),e_440(7),e_434(7),e_413(7),e_412(7), e_380(7),e_379(7),e_17(6),e_32(6),e_31(6),e_28(6),e_25(6),e_24(6), e_61(6),e_56(6),e_52(6),e_46(6),e_90(6),e_75(6),e_109(6),e_100(6), e_96(6),e_91(6),e_208(6),e_207(6),e_197(6),e_160(6),e_134(6),e_260(6), e_254(6),e_243(6),e_236(6),e_373(6),e_344(6),e_343(6),e_341(6), e_334(6),e_303(6),e_302(6),e_479(6),e_472(6),e_390(6),e_37(5),e_60(5), e_87(5),e_86(5),e_82(5),e_80(5),e_67(5),e_127(5),e_120(5),e_116(5), e_112(5),e_108(5),e_104(5),e_92(5),e_174(5),e_167(5),e_145(5),e_285(5), e_259(5),e_222(5),e_372(5),e_478(5),e_433(5),e_42(4),e_41(4),e_40(4), e_39(4),e_38(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_81(4),e_77(4),e_74(4),e_66(4),e_63(4),e_128(4), e_124(4),e_115(4),e_107(4),e_99(4),e_95(4),e_178(4),e_177(4),e_159(4), e_137(4),e_219(4),e_459(4),e_13(3),e_23(3),e_20(3),e_84(3),e_79(3), e_132(3),e_126(3),e_171(3),e_265(3),e_253(3),e_465(3),e_458(3), e_403(3),e_401(3),e_16(2),e_18(3#),e_43(2),e_34(2),e_214(2),e_471(2), e_407(2),e_11(2#),e_12(2#),e_14(2#),e_19(2#),e_15(1#),e_21(1#),e_258(1#), e_396(1#) 75 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, p11,p12,p13,p14,p15,p16,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,q47,q48,q49, q50,q51,q52,q53,q54,q55,q56,q57,q58,q59 old input: w Enter a list of equations, like e2,e5,e35; from: e_396,e_258,e_21,e_15,e_19,e_14,e_12,e_11,e_407,e_471,e_214,e_34,e_43,e_18,e_16, e_401,e_403,e_458,e_465,e_253,e_265,e_171,e_126,e_132,e_79,e_84,e_20,e_23,e_13, e_459,e_219,e_137,e_159,e_177,e_178,e_95,e_99,e_107,e_115,e_124,e_128,e_63,e_66, e_74,e_77,e_81,e_45,e_53,e_55,e_62,e_29,e_33,e_35,e_36,e_38,e_39,e_40,e_41,e_42, e_433,e_478,e_372,e_222,e_259,e_285,e_145,e_167,e_174,e_92,e_104,e_108,e_112, e_116,e_120,e_127,e_67,e_80,e_82,e_86,e_87,e_60,e_37,e_390,e_472,e_479,e_302, e_303,e_334,e_341,e_343,e_344,e_373,e_236,e_243,e_254,e_260,e_134,e_160,e_197, e_207,e_208,e_91,e_96,e_100,e_109,e_75,e_90,e_46,e_52,e_56,e_61,e_24,e_25,e_28, e_31,e_32,e_17,e_379,e_380,e_412,e_413,e_434,e_440,e_442,e_443,e_444,e_473,e_338 ,e_355,e_361,e_369,e_215,e_246,e_251,e_270,e_275,e_287,e_150,e_183,e_202,e_106, e_110,e_111,e_118,e_64,e_68,e_57,e_59,e_26,e_27,e_30,e_296,e_320,e_321,e_375, e_221,e_223,e_225,e_235,e_248,e_266,e_277,e_286,e_135,e_136,e_138,e_141,e_153, e_165,e_170,e_176,e_180,e_190,e_192,e_205,e_113,e_121,e_129,e_70,e_73,e_85,e_47, e_50,e_51,e_58,e_381,e_384,e_422,e_460,e_462,e_469,e_294,e_299,e_305,e_330,e_332 ,e_337,e_349,e_367,e_374,e_378,e_230,e_245,e_269,e_276,e_283,e_149,e_155,e_157, e_169,e_175,e_201,e_209,e_119,e_130,e_133,e_71,e_72,e_76,e_78,e_88,e_89,e_49, e_389,e_404,e_417,e_423,e_451,e_463,e_293,e_304,e_308,e_309,e_312,e_328,e_340, e_363,e_210,e_211,e_220,e_228,e_229,e_247,e_288,e_139,e_154,e_158,e_163,e_166, e_189,e_195,e_199,e_204,e_94,e_97,e_98,e_117,e_122,e_123,e_69,e_83,e_48,e_385, e_399,e_410,e_424,e_432,e_474,e_475,e_476,e_298,e_300,e_301,e_307,e_316,e_319, e_323,e_325,e_329,e_342,e_348,e_352,e_354,e_358,e_366,e_368,e_212,e_213,e_216, e_217,e_227,e_244,e_252,e_255,e_256,e_257,e_261,e_273,e_281,e_292,e_140,e_146, e_173,e_187,e_194,e_196,e_206,e_125,e_65,e_387,e_395,e_408,e_415,e_416,e_439, e_480,e_484,e_306,e_313,e_317,e_318,e_333,e_336,e_351,e_359,e_364,e_365,e_237, e_262,e_263,e_271,e_272,e_280,e_282,e_290,e_142,e_144,e_162,e_172,e_182,e_103, e_383,e_386,e_388,e_393,e_402,e_409,e_418,e_426,e_427,e_435,e_436,e_437,e_438, e_445,e_461,e_464,e_468,e_295,e_297,e_310,e_324,e_331,e_335,e_339,e_347,e_356, e_360,e_370,e_371,e_226,e_231,e_233,e_234,e_238,e_242,e_250,e_264,e_278,e_291, e_143,e_148,e_156,e_164,e_184,e_93,e_101,e_105,e_114,e_131,e_391,e_394,e_425, e_441,e_447,e_450,e_455,e_457,e_315,e_326,e_345,e_350,e_357,e_362,e_232,e_240, e_241,e_274,e_284,e_152,e_161,e_168,e_179,e_181,e_185,e_200,e_203,e_398,e_405, e_414,e_420,e_421,e_428,e_449,e_470,e_311,e_314,e_346,e_353,e_239,e_249,e_188, e_191,e_198,e_102,e_431,e_454,e_483,e_327,e_218,e_268,e_289,e_147,e_151,e_193, e_382,e_397,e_400,e_406,e_429,e_446,e_466,e_481,e_224,e_279,e_186,e_419,e_467, e_482,e_267,e_448,e_452,e_456,e_392,e_430,e_453 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 107 4-Oct-2003 12:35:20, 50 ms (0%), 1281413 occupied, 23718539 free *** Garbage collection starting *** GC 108 4-Oct-2003 12:35:23, 50 ms (0%), 1283971 occupied, 23715980 free --- Algebraic length reduction of equations : 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 : 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 1 term 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 : *** Garbage collection starting *** GC 109 4-Oct-2003 12:35:27, 50 ms (0%), 1284613 occupied, 23715339 free --- Algebraic length reduction of equations : 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 : 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 : 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 : 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 2 terms 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 : 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 : *** Garbage collection starting *** GC 110 4-Oct-2003 12:35:29, 50 ms (0%), 1285255 occupied, 23714696 free shortening by 2 terms 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 : 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 : *** Garbage collection starting *** GC 111 4-Oct-2003 12:35:32, 50 ms (0%), 1285887 occupied, 23714065 free shortening by 1 term 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 : *** Garbage collection starting *** GC 112 4-Oct-2003 12:35:34, 50 ms (0%), 1286235 occupied, 23713716 free 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 2 terms 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 113 4-Oct-2003 12:35:36, 50 ms (0%), 1284077 occupied, 23715875 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 114 4-Oct-2003 12:35:38, 50 ms (0%), 1286191 occupied, 23713760 free shortening by 2 terms 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 115 4-Oct-2003 12:35:40, 50 ms (0%), 1284765 occupied, 23715187 free *** Garbage collection starting *** GC 116 4-Oct-2003 12:35:42, 50 ms (0%), 1286055 occupied, 23713896 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 : *** Garbage collection starting *** GC 117 4-Oct-2003 12:35:43, 50 ms (0%), 1284267 occupied, 23715685 free shortening by 3 terms 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 : shortening by 2 terms 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 118 4-Oct-2003 12:35:45, 50 ms (0%), 1284307 occupied, 23715644 free shortening by 1 term 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 119 4-Oct-2003 12:35:47, 60 ms (0%), 1283955 occupied, 23715997 free 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 : shortening by 1 term 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 : 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 120 4-Oct-2003 12:35:49, 60 ms (0%), 1283297 occupied, 23716654 free shortening by 1 term 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 : 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 : 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 12:35:51, 50 ms (0%), 1283195 occupied, 23716757 free *** Garbage collection starting *** GC 122 4-Oct-2003 12:35:52, 50 ms (0%), 1284431 occupied, 23715520 free *** Garbage collection starting *** GC 123 4-Oct-2003 12:35:54, 50 ms (0%), 1284871 occupied, 23715081 free *** Garbage collection starting *** GC 124 4-Oct-2003 12:35:55, 50 ms (0%), 1285633 occupied, 23714318 free shortening by 3 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 : *** Garbage collection starting *** GC 125 4-Oct-2003 12:35:57, 50 ms (0%), 1283161 occupied, 23716791 free 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 126 4-Oct-2003 12:35:58, 50 ms (0%), 1284271 occupied, 23715680 free shortening by 2 terms 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 127 4-Oct-2003 12:36:00, 60 ms (0%), 1283069 occupied, 23716883 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 128 4-Oct-2003 12:36:01, 50 ms (0%), 1282979 occupied, 23716972 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 129 4-Oct-2003 12:36:03, 50 ms (0%), 1283997 occupied, 23715955 free *** Garbage collection starting *** GC 130 4-Oct-2003 12:36:04, 50 ms (0%), 1285257 occupied, 23714694 free shortening by 2 terms 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 : shortening by 3 terms 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 131 4-Oct-2003 12:36:06, 50 ms (0%), 1282843 occupied, 23717108 free shortening by 1 term 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 : shortening by 2 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 132 4-Oct-2003 12:36:07, 50 ms (0%), 1282765 occupied, 23717185 free shortening by 3 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 133 4-Oct-2003 12:36:09, 60 ms (0%), 1283405 occupied, 23716547 free *** Garbage collection starting *** GC 134 4-Oct-2003 12:36:10, 60 ms (0%), 1283833 occupied, 23716118 free shortening by 4 terms Step 72: Hot list of urgent steps : --- Substitution of <=2 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 135 4-Oct-2003 12:36:11, 50 ms (0%), 1283091 occupied, 23716861 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 136 4-Oct-2003 12:36:13, 60 ms (0%), 1282463 occupied, 23717488 free 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 : *** Garbage collection starting *** GC 137 4-Oct-2003 12:36:14, 50 ms (0%), 1282425 occupied, 23717527 free *** Garbage collection starting *** GC 138 4-Oct-2003 12:36:15, 50 ms (0%), 1282461 occupied, 23717490 free *** Garbage collection starting *** GC 139 4-Oct-2003 12:36:17, 50 ms (0%), 1282705 occupied, 23717247 free *** Garbage collection starting *** GC 140 4-Oct-2003 12:36:18, 50 ms (0%), 1282727 occupied, 23717224 free *** Garbage collection starting *** GC 141 4-Oct-2003 12:36:19, 50 ms (0%), 1282809 occupied, 23717143 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 12:36:23, 90 ms (0%), 1778490 occupied, 23221224 free Eliminate q54 from e_511 and e_16. e_16: 0=p13*q27 - 2*p6*q54 is replaced by e_570: 0=q27*(p13 + 2*p6) 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 : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 143 4-Oct-2003 12:36:25, 50 ms (0%), 1284137 occupied, 23715815 free *** Garbage collection starting *** GC 144 4-Oct-2003 12:36:26, 50 ms (0%), 1284371 occupied, 23715580 free *** Garbage collection starting *** GC 145 4-Oct-2003 12:36:27, 50 ms (0%), 1284471 occupied, 23715481 free *** Garbage collection starting *** GC 146 4-Oct-2003 12:36:29, 50 ms (0%), 1284671 occupied, 23715280 free *** Garbage collection starting *** GC 147 4-Oct-2003 12:36:30, 50 ms (0%), 1284875 occupied, 23715077 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_19 and e_18. e_18: 0=(2*q25 + q26 - 5*q52)*p5 is replaced by e_572: 0=(3*q25 - q26)*p5 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 : *** Garbage collection starting *** GC 148 4-Oct-2003 12:36:33, 50 ms (0%), 1285449 occupied, 23714502 free *** Garbage collection starting *** GC 149 4-Oct-2003 12:36:34, 50 ms (0%), 1285693 occupied, 23714259 free *** Garbage collection starting *** GC 150 4-Oct-2003 12:36:35, 50 ms (0%), 1285885 occupied, 23714066 free *** Garbage collection starting *** GC 151 4-Oct-2003 12:36:37, 60 ms (0%), 1285909 occupied, 23714043 free *** Garbage collection starting *** GC 152 4-Oct-2003 12:36:38, 60 ms (0%), 1286149 occupied, 23713802 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 153 4-Oct-2003 12:36:42, 80 ms (0%), 1778486 occupied, 23221208 free *** Garbage collection starting *** GC 154 4-Oct-2003 12:36:46, 80 ms (0%), 1723360 occupied, 23276392 free *** Garbage collection starting *** GC 155 4-Oct-2003 12:36:49, 80 ms (0%), 1668588 occupied, 23331225 free *** Garbage collection starting *** GC 156 4-Oct-2003 12:36:53, 70 ms (0%), 1611943 occupied, 23387867 free Eliminate q24 from e_494 and e_458. e_494: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q20,q6,p8,p4) is replaced by e_575: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q6,p8,p4) 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 : *** Garbage collection starting *** GC 157 4-Oct-2003 12:36:55, 60 ms (0%), 1283035 occupied, 23716917 free *** Garbage collection starting *** GC 158 4-Oct-2003 12:36:57, 50 ms (0%), 1283047 occupied, 23716905 free *** Garbage collection starting *** GC 159 4-Oct-2003 12:36:58, 50 ms (0%), 1283295 occupied, 23716657 free *** Garbage collection starting *** GC 160 4-Oct-2003 12:36:59, 60 ms (0%), 1283515 occupied, 23716436 free *** Garbage collection starting *** GC 161 4-Oct-2003 12:37:00, 50 ms (0%), 1283873 occupied, 23716079 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 162 4-Oct-2003 12:37:04, 90 ms (0%), 1778612 occupied, 23221112 free *** Garbage collection starting *** GC 163 4-Oct-2003 12:37:08, 80 ms (0%), 1723473 occupied, 23276265 free *** Garbage collection starting *** GC 164 4-Oct-2003 12:37:12, 80 ms (0%), 1668488 occupied, 23331334 free *** Garbage collection starting *** GC 165 4-Oct-2003 12:37:16, 70 ms (0%), 1611923 occupied, 23387877 free *** Garbage collection starting *** GC 166 4-Oct-2003 12:37:20, 70 ms (0%), 1556042 occupied, 23443782 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=p13 0=q1 New level : 1. CRACK is now called with the new equation e_600 : 0=p13 e_14 is a consequence of e_600 Step 78: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms e_603 is a consequence of e_602. e_607 is a consequence of e_604. e_611 is a consequence of e_610. e_615 is a consequence of e_612. e_616 is a consequence of e_614. e_625 is a consequence of e_622. e_637 is a consequence of e_634. Substitution of p13 found in e_600 : p13=0 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 : *** Garbage collection starting *** GC 167 4-Oct-2003 12:37:23, 60 ms (0%), 1359638 occupied, 23640312 free --- 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 168 4-Oct-2003 12:37:27, 60 ms (0%), 1356736 occupied, 23643216 free shortening by 2 terms 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 : shortening by 2 terms 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 : 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 : 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 : shortening by 2 terms 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 : shortening by 2 terms Step 92: Hot list of urgent steps : --- Substitution of <=2 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 169 4-Oct-2003 12:37:29, 50 ms (0%), 1355714 occupied, 23644238 free shortening by 2 terms 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 : shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 170 4-Oct-2003 12:37:31, 60 ms (0%), 1355736 occupied, 23644215 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 171 4-Oct-2003 12:37:33, 60 ms (0%), 1357068 occupied, 23642883 free *** Garbage collection starting *** GC 172 4-Oct-2003 12:37:35, 60 ms (0%), 1357462 occupied, 23642490 free 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 : *** Garbage collection starting *** GC 173 4-Oct-2003 12:37:36, 60 ms (0%), 1357164 occupied, 23642786 free *** Garbage collection starting *** GC 174 4-Oct-2003 12:37:38, 60 ms (0%), 1357864 occupied, 23642087 free shortening by 4 terms 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 : *** Garbage collection starting *** GC 175 4-Oct-2003 12:37:40, 60 ms (0%), 1356148 occupied, 23643803 free shortening by 4 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 : *** Garbage collection starting *** GC 176 4-Oct-2003 12:37:41, 60 ms (0%), 1355590 occupied, 23644362 free *** Garbage collection starting *** GC 177 4-Oct-2003 12:37:42, 60 ms (0%), 1355670 occupied, 23644281 free *** Garbage collection starting *** GC 178 4-Oct-2003 12:37:44, 60 ms (0%), 1355658 occupied, 23644294 free *** Garbage collection starting *** GC 179 4-Oct-2003 12:37:45, 60 ms (0%), 1355678 occupied, 23644273 free *** Garbage collection starting *** GC 180 4-Oct-2003 12:37:46, 60 ms (0%), 1355682 occupied, 23644270 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_601 and e_511. e_511: 0=(q27 + q54)*p6 is replaced by e_225: 0=p6*q54 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 : *** Garbage collection starting *** GC 181 4-Oct-2003 12:37:49, 50 ms (0%), 1358868 occupied, 23641082 free *** Garbage collection starting *** GC 182 4-Oct-2003 12:37:50, 60 ms (0%), 1358900 occupied, 23641051 free *** Garbage collection starting *** GC 183 4-Oct-2003 12:37:52, 60 ms (0%), 1358916 occupied, 23641034 free *** Garbage collection starting *** GC 184 4-Oct-2003 12:37:53, 60 ms (0%), 1358966 occupied, 23640985 free *** Garbage collection starting *** GC 185 4-Oct-2003 12:37:54, 60 ms (0%), 1359002 occupied, 23640948 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 186 4-Oct-2003 12:37:59, 70 ms (0%), 1548211 occupied, 23451642 free *** Garbage collection starting *** GC 187 4-Oct-2003 12:38:03, 80 ms (0%), 1673970 occupied, 23325804 free *** Garbage collection starting *** GC 188 4-Oct-2003 12:38:07, 80 ms (0%), 1782989 occupied, 23216742 free *** Garbage collection starting *** GC 189 4-Oct-2003 12:38:11, 60 ms (0%), 1440758 occupied, 23559155 free *** Garbage collection starting *** GC 190 4-Oct-2003 12:38:16, 70 ms (0%), 1596960 occupied, 23402885 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_258 we get the alternative equations : 0=p6 0=q56 New level : 1.1. CRACK is now called with the new equation e_513 : 0=p6 e_601,e_225 are consequences of e_513 Step 101: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms e_523 is a consequence of e_522. e_543 is a consequence of e_505. Substitution of p6 found in e_513 : p6=0 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 : shortening by 1 term e_850 is a consequence of e_313. 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 : shortening by 1 term Step 104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 191 4-Oct-2003 12:38:19, 60 ms (0%), 1406105 occupied, 23593846 free 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 : 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 : shortening by 1 term 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 : shortening by 1 term Step 118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 192 4-Oct-2003 12:38:23, 60 ms (0%), 1406689 occupied, 23593262 free 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 : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 193 4-Oct-2003 12:38:27, 70 ms (0%), 1406763 occupied, 23593189 free shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms e_846 is a consequence of e_839. 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 194 4-Oct-2003 12:38:31, 70 ms (0%), 1404277 occupied, 23595673 free 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 2 terms 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 e_487 is a consequence of e_282. 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 2 terms 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 2 terms 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 195 4-Oct-2003 12:38:34, 60 ms (0%), 1404043 occupied, 23595908 free shortening by 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 196 4-Oct-2003 12:38:37, 60 ms (0%), 1403217 occupied, 23596733 free 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 : *** Garbage collection starting *** GC 197 4-Oct-2003 12:38:39, 70 ms (0%), 1405221 occupied, 23594728 free 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 : *** Garbage collection starting *** GC 198 4-Oct-2003 12:38:41, 60 ms (0%), 1404917 occupied, 23595033 free shortening by 6 terms 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 199 4-Oct-2003 12:38:44, 70 ms (0%), 1403625 occupied, 23596326 free shortening by 4 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 2 terms 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 : *** Garbage collection starting *** GC 200 4-Oct-2003 12:38:45, 60 ms (0%), 1402945 occupied, 23597005 free 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 : *** Garbage collection starting *** GC 201 4-Oct-2003 12:38:47, 60 ms (0%), 1403979 occupied, 23595972 free shortening by 4 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 : shortening by 1 term 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 202 4-Oct-2003 12:38:49, 60 ms (0%), 1403195 occupied, 23596755 free *** Garbage collection starting *** GC 203 4-Oct-2003 12:38:51, 70 ms (0%), 1404381 occupied, 23595570 free shortening by 6 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 8 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 1 term 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 : 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 1 term 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 : *** Garbage collection starting *** GC 204 4-Oct-2003 12:38:53, 60 ms (0%), 1403113 occupied, 23596837 free *** Garbage collection starting *** GC 205 4-Oct-2003 12:38:55, 60 ms (0%), 1404677 occupied, 23595273 free shortening by 2 terms 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 206 4-Oct-2003 12:38:57, 70 ms (0%), 1403129 occupied, 23596821 free shortening by 8 terms 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 : *** Garbage collection starting *** GC 207 4-Oct-2003 12:38:58, 60 ms (0%), 1402507 occupied, 23597444 free *** Garbage collection starting *** GC 208 4-Oct-2003 12:39:00, 60 ms (0%), 1402579 occupied, 23597371 free *** Garbage collection starting *** GC 209 4-Oct-2003 12:39:01, 60 ms (0%), 1402629 occupied, 23597322 free *** Garbage collection starting *** GC 210 4-Oct-2003 12:39:03, 60 ms (0%), 1402655 occupied, 23597295 free *** Garbage collection starting *** GC 211 4-Oct-2003 12:39:04, 60 ms (0%), 1402653 occupied, 23597298 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 212 4-Oct-2003 12:39:09, 90 ms (0%), 1769492 occupied, 23230228 free *** Garbage collection starting *** GC 213 4-Oct-2003 12:39:14, 80 ms (0%), 1688411 occupied, 23311358 free *** Garbage collection starting *** GC 214 4-Oct-2003 12:39:18, 80 ms (0%), 1603572 occupied, 23396270 free Eliminate q54 from e_505 and e_105. e_105: 0=(3*q27 - 4*q54)*p7 is replaced by e_805: 0=p7*q27 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 215 4-Oct-2003 12:39:21, 60 ms (0%), 1402293 occupied, 23597658 free *** Garbage collection starting *** GC 216 4-Oct-2003 12:39:22, 60 ms (0%), 1402419 occupied, 23597531 free *** Garbage collection starting *** GC 217 4-Oct-2003 12:39:23, 70 ms (0%), 1402461 occupied, 23597490 free *** Garbage collection starting *** GC 218 4-Oct-2003 12:39:25, 70 ms (0%), 1402493 occupied, 23597458 free *** Garbage collection starting *** GC 219 4-Oct-2003 12:39:26, 70 ms (0%), 1402545 occupied, 23597406 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 220 4-Oct-2003 12:39:31, 90 ms (0%), 1769624 occupied, 23230140 free *** Garbage collection starting *** GC 221 4-Oct-2003 12:39:36, 80 ms (0%), 1690172 occupied, 23309619 free *** Garbage collection starting *** GC 222 4-Oct-2003 12:39:41, 70 ms (0%), 1606835 occupied, 23393022 free *** Garbage collection starting *** GC 223 4-Oct-2003 12:39:46, 70 ms (0%), 1515490 occupied, 23484417 free *** Garbage collection starting *** GC 224 4-Oct-2003 12:39:50, 90 ms (0%), 1819956 occupied, 23179754 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_229 we get the alternative equations : 0=p11 0=q35 New level : 1.1.1. CRACK is now called with the new equation e_94 : 0=p11 e_520,e_492 are consequences of e_94 Step 168: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms e_846 is a consequence of e_271. e_804 is a consequence of e_849. e_851 is a consequence of e_603. Substitution of p11 found in e_94 : p11=0 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 : *** Garbage collection starting *** GC 225 4-Oct-2003 12:39:54, 70 ms (0%), 1466645 occupied, 23533302 free --- Algebraic length reduction of equations : shortening by 1 term Step 170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 : 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 : *** Garbage collection starting *** GC 226 4-Oct-2003 12:39:58, 70 ms (0%), 1470487 occupied, 23529460 free *** Garbage collection starting *** GC 227 4-Oct-2003 12:40:01, 70 ms (0%), 1472593 occupied, 23527353 free shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 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 : *** Garbage collection starting *** GC 228 4-Oct-2003 12:40:05, 60 ms (0%), 1467153 occupied, 23532795 free shortening by 2 terms 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 1 term 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 : shortening by 1 term 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 1 term 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 2 terms 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 2 terms 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 : shortening by 2 terms 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 2 terms 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 : shortening by 2 terms 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 : *** Garbage collection starting *** GC 229 4-Oct-2003 12:40:08, 70 ms (0%), 1467117 occupied, 23532830 free shortening by 2 terms 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 : shortening by 3 terms Step 202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 230 4-Oct-2003 12:40:11, 70 ms (0%), 1467705 occupied, 23532242 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 231 4-Oct-2003 12:40:14, 70 ms (0%), 1466737 occupied, 23533210 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 232 4-Oct-2003 12:40:17, 70 ms (0%), 1467443 occupied, 23532505 free shortening by 4 terms 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 : *** Garbage collection starting *** GC 233 4-Oct-2003 12:40:20, 70 ms (0%), 1467037 occupied, 23532910 free shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 234 4-Oct-2003 12:40:23, 70 ms (0%), 1467005 occupied, 23532943 free 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 235 4-Oct-2003 12:40:26, 70 ms (0%), 1466053 occupied, 23533894 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 236 4-Oct-2003 12:40:28, 70 ms (0%), 1465961 occupied, 23533987 free 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 : *** Garbage collection starting *** GC 237 4-Oct-2003 12:40:30, 70 ms (0%), 1466901 occupied, 23533046 free shortening by 4 terms 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 : *** Garbage collection starting *** GC 238 4-Oct-2003 12:40:32, 70 ms (0%), 1466829 occupied, 23533119 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 239 4-Oct-2003 12:40:34, 70 ms (0%), 1465591 occupied, 23534356 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 240 4-Oct-2003 12:40:36, 70 ms (0%), 1465913 occupied, 23534035 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 241 4-Oct-2003 12:40:38, 70 ms (0%), 1471753 occupied, 23528193 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 242 4-Oct-2003 12:40:40, 70 ms (0%), 1467265 occupied, 23532683 free shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 243 4-Oct-2003 12:40:42, 70 ms (0%), 1465647 occupied, 23534300 free *** Garbage collection starting *** GC 244 4-Oct-2003 12:40:43, 70 ms (0%), 1465751 occupied, 23534197 free *** Garbage collection starting *** GC 245 4-Oct-2003 12:40:45, 70 ms (0%), 1465805 occupied, 23534142 free *** Garbage collection starting *** GC 246 4-Oct-2003 12:40:47, 70 ms (0%), 1465851 occupied, 23534097 free *** Garbage collection starting *** GC 247 4-Oct-2003 12:40:48, 70 ms (0%), 1465897 occupied, 23534050 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_1040 and e_1034. e_1034: 0=(q28 + 2*q30)*p2 is replaced by e_350: 0=p2*q30 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 : 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 : *** Garbage collection starting *** GC 248 4-Oct-2003 12:40:51, 70 ms (0%), 1465839 occupied, 23534109 free *** Garbage collection starting *** GC 249 4-Oct-2003 12:40:53, 70 ms (0%), 1465905 occupied, 23534042 free *** Garbage collection starting *** GC 250 4-Oct-2003 12:40:54, 70 ms (0%), 1465953 occupied, 23533995 free *** Garbage collection starting *** GC 251 4-Oct-2003 12:40:56, 70 ms (0%), 1466001 occupied, 23533946 free *** Garbage collection starting *** GC 252 4-Oct-2003 12:40:57, 70 ms (0%), 1466027 occupied, 23533921 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_350 and e_1051. e_1051: 0=(q30 + 2*q32)*p2 is replaced by e_1053: 0=p2*q32 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 : *** Garbage collection starting *** GC 253 4-Oct-2003 12:41:00, 70 ms (0%), 1465671 occupied, 23534276 free *** Garbage collection starting *** GC 254 4-Oct-2003 12:41:02, 70 ms (0%), 1465745 occupied, 23534203 free *** Garbage collection starting *** GC 255 4-Oct-2003 12:41:03, 70 ms (0%), 1465795 occupied, 23534152 free *** Garbage collection starting *** GC 256 4-Oct-2003 12:41:05, 70 ms (0%), 1465853 occupied, 23534095 free *** Garbage collection starting *** GC 257 4-Oct-2003 12:41:06, 70 ms (0%), 1465909 occupied, 23534038 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_1053 and e_1048. e_1048: 0=(2*q31 - q32)*p2 is replaced by e_997: 0=p2*q31 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 : *** Garbage collection starting *** GC 258 4-Oct-2003 12:41:09, 70 ms (0%), 1465373 occupied, 23534575 free *** Garbage collection starting *** GC 259 4-Oct-2003 12:41:11, 70 ms (0%), 1465429 occupied, 23534518 free *** Garbage collection starting *** GC 260 4-Oct-2003 12:41:12, 70 ms (0%), 1465487 occupied, 23534461 free *** Garbage collection starting *** GC 261 4-Oct-2003 12:41:14, 70 ms (0%), 1465529 occupied, 23534418 free *** Garbage collection starting *** GC 262 4-Oct-2003 12:41:15, 70 ms (0%), 1465591 occupied, 23534357 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q31 from e_997 and e_830. e_830: 0=(3*q29 + q31)*p2 is replaced by e_644: 0=p2*q29 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 2 terms 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 : *** Garbage collection starting *** GC 263 4-Oct-2003 12:41:18, 70 ms (0%), 1465167 occupied, 23534779 free *** Garbage collection starting *** GC 264 4-Oct-2003 12:41:20, 70 ms (0%), 1465289 occupied, 23534658 free *** Garbage collection starting *** GC 265 4-Oct-2003 12:41:21, 70 ms (0%), 1465347 occupied, 23534599 free *** Garbage collection starting *** GC 266 4-Oct-2003 12:41:23, 70 ms (0%), 1465409 occupied, 23534538 free *** Garbage collection starting *** GC 267 4-Oct-2003 12:41:25, 60 ms (0%), 1465461 occupied, 23534485 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 268 4-Oct-2003 12:41:30, 80 ms (0%), 1643902 occupied, 23355954 free *** Garbage collection starting *** GC 269 4-Oct-2003 12:41:35, 90 ms (0%), 1755299 occupied, 23244415 free *** Garbage collection starting *** GC 270 4-Oct-2003 12:41:40, 100 ms (0%), 1845613 occupied, 23154091 free *** Garbage collection starting *** GC 271 4-Oct-2003 12:41:46, 80 ms (0%), 1609256 occupied, 23390618 free *** Garbage collection starting *** GC 272 4-Oct-2003 12:41:51, 80 ms (0%), 1728456 occupied, 23271331 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_515 we get the alternative equations : 0=p15 0=q49 New level : 1.1.1.1. CRACK is now called with the new equation e_579 : 0=p15 e_869,e_524,e_532 are consequences of e_579 Step 255: 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 4 terms e_714 is a consequence of e_313. e_1020 is a consequence of e_522. e_512 is a consequence of e_1006. e_928 is a consequence of e_999. Substitution of p15 found in e_579 : p15=0 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 : *** Garbage collection starting *** GC 273 4-Oct-2003 12:41:55, 80 ms (0%), 1516381 occupied, 23483564 free --- 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 : 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 1 term 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 1 term 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 : 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 : 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 1 term 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 : 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 274 4-Oct-2003 12:41:59, 70 ms (0%), 1518367 occupied, 23481580 free *** Garbage collection starting *** GC 275 4-Oct-2003 12:42:02, 70 ms (0%), 1519253 occupied, 23480693 free shortening by 2 terms 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 : shortening by 1 term 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 : shortening by 3 terms 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 2 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 : *** Garbage collection starting *** GC 276 4-Oct-2003 12:42:05, 70 ms (0%), 1515805 occupied, 23484139 free 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 : 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 4 terms 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 : shortening by 1 term 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 1 term 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 : *** Garbage collection starting *** GC 277 4-Oct-2003 12:42:09, 70 ms (0%), 1515401 occupied, 23484545 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 278 4-Oct-2003 12:42:12, 80 ms (0%), 1515911 occupied, 23484034 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 279 4-Oct-2003 12:42:14, 70 ms (0%), 1515629 occupied, 23484318 free 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 2 terms 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 : *** Garbage collection starting *** GC 280 4-Oct-2003 12:42:16, 70 ms (0%), 1514839 occupied, 23485107 free *** Garbage collection starting *** GC 281 4-Oct-2003 12:42:17, 70 ms (0%), 1514955 occupied, 23484992 free *** Garbage collection starting *** GC 282 4-Oct-2003 12:42:19, 70 ms (0%), 1514983 occupied, 23484963 free *** Garbage collection starting *** GC 283 4-Oct-2003 12:42:21, 70 ms (0%), 1515019 occupied, 23484928 free *** Garbage collection starting *** GC 284 4-Oct-2003 12:42:22, 70 ms (0%), 1515023 occupied, 23484923 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 285 4-Oct-2003 12:42:28, 80 ms (0%), 1532745 occupied, 23467198 free *** Garbage collection starting *** GC 286 4-Oct-2003 12:42:34, 80 ms (0%), 1550156 occupied, 23449783 free *** Garbage collection starting *** GC 287 4-Oct-2003 12:42:40, 80 ms (0%), 1563147 occupied, 23436780 free *** Garbage collection starting *** GC 288 4-Oct-2003 12:42:46, 80 ms (0%), 1573908 occupied, 23426008 free *** Garbage collection starting *** GC 289 4-Oct-2003 12:42:52, 80 ms (0%), 1582726 occupied, 23417194 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_185 we get the alternative equations : 0=p9 0=q35 New level : 1.1.1.1.1. CRACK is now called with the new equation e_1253 : 0=p9 e_12 is a consequence of e_1253 Step 311: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms e_604 is a consequence of e_686. e_97 is a consequence of e_686. Substitution of p9 found in e_1253 : p9=0 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 : *** Garbage collection starting *** GC 290 4-Oct-2003 12:42:55, 80 ms (0%), 1558790 occupied, 23441155 free --- 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 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 291 4-Oct-2003 12:42:59, 80 ms (0%), 1560618 occupied, 23439328 free *** Garbage collection starting *** GC 292 4-Oct-2003 12:43:03, 80 ms (0%), 1561518 occupied, 23438427 free shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 293 4-Oct-2003 12:43:07, 80 ms (0%), 1558360 occupied, 23441586 free shortening by 2 terms 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 : shortening by 2 terms e_1289 is a consequence of e_872. 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 : *** Garbage collection starting *** GC 294 4-Oct-2003 12:43:11, 80 ms (0%), 1557714 occupied, 23442231 free 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 : *** Garbage collection starting *** GC 295 4-Oct-2003 12:43:14, 70 ms (0%), 1558920 occupied, 23441026 free 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 : shortening by 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 296 4-Oct-2003 12:43:17, 80 ms (0%), 1557328 occupied, 23442617 free 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 2 terms 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 3 terms 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 : *** Garbage collection starting *** GC 297 4-Oct-2003 12:43:20, 80 ms (0%), 1557426 occupied, 23442519 free 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 : *** Garbage collection starting *** GC 298 4-Oct-2003 12:43:22, 80 ms (0%), 1558428 occupied, 23441516 free *** Garbage collection starting *** GC 299 4-Oct-2003 12:43:24, 80 ms (0%), 1558530 occupied, 23441415 free *** Garbage collection starting *** GC 300 4-Oct-2003 12:43:26, 80 ms (0%), 1558600 occupied, 23441344 free *** Garbage collection starting *** GC 301 4-Oct-2003 12:43:28, 80 ms (0%), 1558696 occupied, 23441249 free *** Garbage collection starting *** GC 302 4-Oct-2003 12:43:29, 80 ms (0%), 1558772 occupied, 23441172 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_1248 and e_1339. e_1339: 0=(3*q11 - 2*q13)*p2 is replaced by e_1313: 0=p2*q13 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 : 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 1 term 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 : *** Garbage collection starting *** GC 303 4-Oct-2003 12:43:32, 80 ms (0%), 1557108 occupied, 23442837 free *** Garbage collection starting *** GC 304 4-Oct-2003 12:43:34, 70 ms (0%), 1557212 occupied, 23442732 free *** Garbage collection starting *** GC 305 4-Oct-2003 12:43:36, 80 ms (0%), 1557280 occupied, 23442665 free *** Garbage collection starting *** GC 306 4-Oct-2003 12:43:38, 80 ms (0%), 1557352 occupied, 23442592 free *** Garbage collection starting *** GC 307 4-Oct-2003 12:43:40, 80 ms (0%), 1557466 occupied, 23442479 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_1313 and e_1256. e_1256: 0=(q13 + 2*q15)*p2 is replaced by e_1111: 0=p2*q15 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 : *** Garbage collection starting *** GC 308 4-Oct-2003 12:43:43, 70 ms (0%), 1557018 occupied, 23442926 free *** Garbage collection starting *** GC 309 4-Oct-2003 12:43:45, 80 ms (0%), 1557128 occupied, 23442817 free *** Garbage collection starting *** GC 310 4-Oct-2003 12:43:47, 80 ms (0%), 1557204 occupied, 23442740 free *** Garbage collection starting *** GC 311 4-Oct-2003 12:43:48, 80 ms (0%), 1557290 occupied, 23442655 free *** Garbage collection starting *** GC 312 4-Oct-2003 12:43:50, 80 ms (0%), 1557382 occupied, 23442562 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_1111 and e_1259. e_1259: 0=(q15 + 2*q17)*p2 is replaced by e_1326: 0=p2*q17 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 : 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 1 term 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 : *** Garbage collection starting *** GC 313 4-Oct-2003 12:43:53, 80 ms (0%), 1557144 occupied, 23442801 free *** Garbage collection starting *** GC 314 4-Oct-2003 12:43:55, 80 ms (0%), 1557220 occupied, 23442724 free *** Garbage collection starting *** GC 315 4-Oct-2003 12:43:57, 80 ms (0%), 1557290 occupied, 23442655 free *** Garbage collection starting *** GC 316 4-Oct-2003 12:43:59, 70 ms (0%), 1557368 occupied, 23442576 free *** Garbage collection starting *** GC 317 4-Oct-2003 12:44:01, 80 ms (0%), 1557464 occupied, 23442481 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_1246 and e_980. e_980: 0=(2*q12 + q14)*p10 is replaced by e_1166: 0=p10*q14 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 : shortening by 1 term 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 : 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 : shortening by 1 term 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 318 4-Oct-2003 12:44:04, 80 ms (0%), 1558136 occupied, 23441807 free *** Garbage collection starting *** GC 319 4-Oct-2003 12:44:06, 70 ms (0%), 1558208 occupied, 23441736 free *** Garbage collection starting *** GC 320 4-Oct-2003 12:44:08, 80 ms (0%), 1558236 occupied, 23441707 free *** Garbage collection starting *** GC 321 4-Oct-2003 12:44:09, 80 ms (0%), 1558246 occupied, 23441698 free *** Garbage collection starting *** GC 322 4-Oct-2003 12:44:11, 80 ms (0%), 1558240 occupied, 23441703 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_1337 and e_823. e_823: 0=(q12 + q14)*p12 is replaced by e_847: 0=p12*q14 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 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 323 4-Oct-2003 12:44:15, 80 ms (0%), 1558092 occupied, 23441852 free *** Garbage collection starting *** GC 324 4-Oct-2003 12:44:17, 80 ms (0%), 1558138 occupied, 23441805 free *** Garbage collection starting *** GC 325 4-Oct-2003 12:44:19, 80 ms (0%), 1558210 occupied, 23441734 free *** Garbage collection starting *** GC 326 4-Oct-2003 12:44:20, 80 ms (0%), 1558236 occupied, 23441707 free *** Garbage collection starting *** GC 327 4-Oct-2003 12:44:22, 80 ms (0%), 1558248 occupied, 23441696 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_686 and e_219. e_219: 0=(20*q33 + q59)*p7 is replaced by e_1263: 0=p7*q59 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 328 4-Oct-2003 12:44:26, 70 ms (0%), 1556942 occupied, 23443001 free *** Garbage collection starting *** GC 329 4-Oct-2003 12:44:28, 80 ms (0%), 1557016 occupied, 23442928 free *** Garbage collection starting *** GC 330 4-Oct-2003 12:44:30, 80 ms (0%), 1557058 occupied, 23442885 free *** Garbage collection starting *** GC 331 4-Oct-2003 12:44:32, 80 ms (0%), 1557140 occupied, 23442804 free *** Garbage collection starting *** GC 332 4-Oct-2003 12:44:34, 80 ms (0%), 1557382 occupied, 23442561 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q59 from e_1263 and e_618. e_618: 0=(q33 - q59)*p7 is replaced by e_1197: 0=p7*q33 e_1197 is a consequence of e_686. 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 333 4-Oct-2003 12:44:36, 70 ms (0%), 1557498 occupied, 23442446 free *** Garbage collection starting *** GC 334 4-Oct-2003 12:44:38, 80 ms (0%), 1557816 occupied, 23442127 free *** Garbage collection starting *** GC 335 4-Oct-2003 12:44:40, 80 ms (0%), 1557974 occupied, 23441970 free *** Garbage collection starting *** GC 336 4-Oct-2003 12:44:42, 70 ms (0%), 1558256 occupied, 23441687 free *** Garbage collection starting *** GC 337 4-Oct-2003 12:44:44, 70 ms (0%), 1558406 occupied, 23441538 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_897 and e_837. e_837: 0=(4*q29 + q31)*p16 is replaced by e_989: 0=p16*q31 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 : shortening by 1 term 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 : shortening by 1 term Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 338 4-Oct-2003 12:44:47, 80 ms (0%), 1557728 occupied, 23442215 free *** Garbage collection starting *** GC 339 4-Oct-2003 12:44:49, 70 ms (0%), 1557754 occupied, 23442190 free *** Garbage collection starting *** GC 340 4-Oct-2003 12:44:51, 80 ms (0%), 1557836 occupied, 23442107 free *** Garbage collection starting *** GC 341 4-Oct-2003 12:44:53, 80 ms (0%), 1557876 occupied, 23442068 free *** Garbage collection starting *** GC 342 4-Oct-2003 12:44:55, 80 ms (0%), 1557930 occupied, 23442013 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_830 and e_896. e_896: 0=(4*q12 + q14)*p16 is replaced by e_932: 0=p16*q14 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 343 4-Oct-2003 12:44:58, 80 ms (0%), 1556144 occupied, 23443800 free *** Garbage collection starting *** GC 344 4-Oct-2003 12:45:00, 70 ms (0%), 1556228 occupied, 23443715 free *** Garbage collection starting *** GC 345 4-Oct-2003 12:45:02, 80 ms (0%), 1556324 occupied, 23443620 free *** Garbage collection starting *** GC 346 4-Oct-2003 12:45:04, 70 ms (0%), 1556394 occupied, 23443549 free *** Garbage collection starting *** GC 347 4-Oct-2003 12:45:06, 70 ms (0%), 1556484 occupied, 23443460 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 348 4-Oct-2003 12:45:13, 90 ms (0%), 1798153 occupied, 23201664 free *** Garbage collection starting *** GC 349 4-Oct-2003 12:45:20, 90 ms (0%), 1748450 occupied, 23251387 free *** Garbage collection starting *** GC 350 4-Oct-2003 12:45:28, 90 ms (0%), 1696929 occupied, 23302914 free *** Garbage collection starting *** GC 351 4-Oct-2003 12:45:35, 80 ms (0%), 1639467 occupied, 23360436 free *** Garbage collection starting *** GC 352 4-Oct-2003 12:45:43, 70 ms (0%), 1562647 occupied, 23437297 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1006 we get the alternative equations : 0=p5 0=q35 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_1408 : 0=p5 e_19,e_572,e_21,e_602,e_529,e_842 are consequences of e_1408 Step 405: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0036*p3 + g0037*p1 Substitution of p5 found in e_1408 : p5=0 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 : *** Garbage collection starting *** GC 353 4-Oct-2003 12:45:46, 80 ms (0%), 1586157 occupied, 23413783 free --- Algebraic length reduction of equations : shortening by 1 term 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 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 : *** Garbage collection starting *** GC 354 4-Oct-2003 12:45:50, 80 ms (0%), 1588019 occupied, 23411920 free *** Garbage collection starting *** GC 355 4-Oct-2003 12:45:55, 80 ms (0%), 1589395 occupied, 23410543 free 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 : *** Garbage collection starting *** GC 356 4-Oct-2003 12:45:59, 80 ms (0%), 1587007 occupied, 23412933 free shortening by 2 terms 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 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 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 : *** Garbage collection starting *** GC 357 4-Oct-2003 12:46:02, 80 ms (0%), 1588267 occupied, 23411671 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 358 4-Oct-2003 12:46:05, 80 ms (0%), 1588925 occupied, 23411015 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 359 4-Oct-2003 12:46:08, 80 ms (0%), 1588651 occupied, 23411287 free shortening by 4 terms 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 : *** Garbage collection starting *** GC 360 4-Oct-2003 12:46:11, 80 ms (0%), 1586839 occupied, 23413101 free *** Garbage collection starting *** GC 361 4-Oct-2003 12:46:13, 80 ms (0%), 1587487 occupied, 23412452 free *** Garbage collection starting *** GC 362 4-Oct-2003 12:46:15, 80 ms (0%), 1587583 occupied, 23412357 free *** Garbage collection starting *** GC 363 4-Oct-2003 12:46:17, 80 ms (0%), 1587587 occupied, 23412352 free *** Garbage collection starting *** GC 364 4-Oct-2003 12:46:19, 80 ms (0%), 1587603 occupied, 23412337 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_939 and e_1261. e_1261: 0=(q25 - q52)*p7 is replaced by e_1331: 0=p7*q25 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 : *** Garbage collection starting *** GC 365 4-Oct-2003 12:46:22, 80 ms (0%), 1587259 occupied, 23412680 free *** Garbage collection starting *** GC 366 4-Oct-2003 12:46:24, 80 ms (0%), 1587323 occupied, 23412617 free *** Garbage collection starting *** GC 367 4-Oct-2003 12:46:26, 80 ms (0%), 1587325 occupied, 23412614 free *** Garbage collection starting *** GC 368 4-Oct-2003 12:46:28, 80 ms (0%), 1587335 occupied, 23412605 free *** Garbage collection starting *** GC 369 4-Oct-2003 12:46:30, 80 ms (0%), 1587357 occupied, 23412582 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_97 and e_1235. e_1235: 0=(3*q25 + 2*q26)*p14 is replaced by e_1190: 0=p14*q25 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 : *** Garbage collection starting *** GC 370 4-Oct-2003 12:46:33, 80 ms (0%), 1586723 occupied, 23413217 free *** Garbage collection starting *** GC 371 4-Oct-2003 12:46:35, 80 ms (0%), 1586827 occupied, 23413112 free *** Garbage collection starting *** GC 372 4-Oct-2003 12:46:37, 80 ms (0%), 1586835 occupied, 23413105 free *** Garbage collection starting *** GC 373 4-Oct-2003 12:46:39, 80 ms (0%), 1586857 occupied, 23413082 free *** Garbage collection starting *** GC 374 4-Oct-2003 12:46:42, 80 ms (0%), 1586987 occupied, 23412953 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1190 and e_677. e_677: 0=(q1 - 3*q25)*p14 is replaced by e_975: 0=p14*q1 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 : *** Garbage collection starting *** GC 375 4-Oct-2003 12:46:45, 80 ms (0%), 1587765 occupied, 23412174 free *** Garbage collection starting *** GC 376 4-Oct-2003 12:46:48, 80 ms (0%), 1587831 occupied, 23412109 free *** Garbage collection starting *** GC 377 4-Oct-2003 12:46:50, 90 ms (0%), 1587913 occupied, 23412026 free *** Garbage collection starting *** GC 378 4-Oct-2003 12:46:52, 90 ms (0%), 1587953 occupied, 23411987 free *** Garbage collection starting *** GC 379 4-Oct-2003 12:46:54, 80 ms (0%), 1587969 occupied, 23411970 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_975 and e_1234. e_1234: 0=(q1 - q26)*p14 is replaced by e_1343: 0=p14*q26 e_1343 is a consequence of e_97. 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 : *** Garbage collection starting *** GC 380 4-Oct-2003 12:46:58, 80 ms (0%), 1587025 occupied, 23412915 free *** Garbage collection starting *** GC 381 4-Oct-2003 12:47:00, 80 ms (0%), 1587117 occupied, 23412822 free *** Garbage collection starting *** GC 382 4-Oct-2003 12:47:02, 80 ms (0%), 1587237 occupied, 23412703 free *** Garbage collection starting *** GC 383 4-Oct-2003 12:47:04, 80 ms (0%), 1587451 occupied, 23412488 free *** Garbage collection starting *** GC 384 4-Oct-2003 12:47:06, 80 ms (0%), 1587677 occupied, 23412263 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1190 and e_487. e_487: 0=(q25 - q52)*p14 is replaced by e_1344: 0=p14*q52 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 : *** Garbage collection starting *** GC 385 4-Oct-2003 12:47:09, 80 ms (0%), 1586457 occupied, 23413482 free *** Garbage collection starting *** GC 386 4-Oct-2003 12:47:11, 80 ms (0%), 1586573 occupied, 23413367 free *** Garbage collection starting *** GC 387 4-Oct-2003 12:47:13, 80 ms (0%), 1586645 occupied, 23413294 free *** Garbage collection starting *** GC 388 4-Oct-2003 12:47:15, 80 ms (0%), 1586667 occupied, 23413273 free *** Garbage collection starting *** GC 389 4-Oct-2003 12:47:17, 80 ms (0%), 1586667 occupied, 23413272 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 390 4-Oct-2003 12:47:26, 80 ms (0%), 1694368 occupied, 23305519 free *** Garbage collection starting *** GC 391 4-Oct-2003 12:47:34, 90 ms (0%), 1759238 occupied, 23240609 free *** Garbage collection starting *** GC 392 4-Oct-2003 12:47:43, 100 ms (0%), 1810817 occupied, 23188985 free *** Garbage collection starting *** GC 393 4-Oct-2003 12:47:51, 90 ms (0%), 1666101 occupied, 23333803 free *** Garbage collection starting *** GC 394 4-Oct-2003 12:48:00, 90 ms (0%), 1739944 occupied, 23259907 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_584 we get the alternative equations : 0=p12 0=q1 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_1018 : 0=p12 e_1324,e_852,e_1193,e_1337,e_847 are consequences of e_1018 Step 431: Hot list of urgent steps : The list of inequalities got extended by: g0097*p16 + g0099*p14 + g0103*p10 Substitution of p12 found in e_1018 : p12=0 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 : *** Garbage collection starting *** GC 395 4-Oct-2003 12:48:03, 90 ms (0%), 1636737 occupied, 23363201 free --- 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 396 4-Oct-2003 12:48:07, 80 ms (0%), 1634279 occupied, 23365662 free 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 397 4-Oct-2003 12:48:12, 80 ms (0%), 1634995 occupied, 23364946 free *** Garbage collection starting *** GC 398 4-Oct-2003 12:48:17, 80 ms (0%), 1636709 occupied, 23363231 free *** Garbage collection starting *** GC 399 4-Oct-2003 12:48:22, 80 ms (0%), 1637823 occupied, 23362118 free *** Garbage collection starting *** GC 400 4-Oct-2003 12:48:27, 80 ms (0%), 1638865 occupied, 23361076 free 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 : *** Garbage collection starting *** GC 401 4-Oct-2003 12:48:31, 90 ms (0%), 1633993 occupied, 23365947 free shortening by 2 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 402 4-Oct-2003 12:48:35, 90 ms (0%), 1633729 occupied, 23366212 free 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 1 term 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 2 terms 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 3 terms 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 2 terms 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 : *** Garbage collection starting *** GC 403 4-Oct-2003 12:48:40, 150 ms (0%), 1634645 occupied, 23365295 free --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 3 terms 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 2 terms 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 : *** Garbage collection starting *** GC 404 4-Oct-2003 12:48:44, 90 ms (0%), 1633843 occupied, 23366097 free --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms e_869 is a consequence of e_1420. 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 2 terms 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 : *** Garbage collection starting *** GC 405 4-Oct-2003 12:48:49, 80 ms (0%), 1632141 occupied, 23367799 free shortening by 2 terms 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 2 terms 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 2 terms 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 3 terms 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 2 terms 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 : *** Garbage collection starting *** GC 406 4-Oct-2003 12:48:53, 80 ms (0%), 1632117 occupied, 23367824 free shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 407 4-Oct-2003 12:48:57, 80 ms (0%), 1633325 occupied, 23366615 free shortening by 3 terms 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 408 4-Oct-2003 12:49:00, 90 ms (0%), 1631881 occupied, 23368060 free shortening by 4 terms 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 : *** Garbage collection starting *** GC 409 4-Oct-2003 12:49:03, 80 ms (0%), 1632019 occupied, 23367922 free *** Garbage collection starting *** GC 410 4-Oct-2003 12:49:06, 80 ms (0%), 1633037 occupied, 23366902 free *** Garbage collection starting *** GC 411 4-Oct-2003 12:49:08, 90 ms (0%), 1633151 occupied, 23366789 free *** Garbage collection starting *** GC 412 4-Oct-2003 12:49:11, 90 ms (0%), 1633305 occupied, 23366634 free *** Garbage collection starting *** GC 413 4-Oct-2003 12:49:13, 80 ms (0%), 1633441 occupied, 23366499 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1275 and e_1409. e_1409: 0=(q10 + 2*q5)*p2 is replaced by e_1361: 0=p2*q5 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 2 terms 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 : *** Garbage collection starting *** GC 414 4-Oct-2003 12:49:17, 80 ms (0%), 1631587 occupied, 23368352 free *** Garbage collection starting *** GC 415 4-Oct-2003 12:49:19, 80 ms (0%), 1631697 occupied, 23368242 free *** Garbage collection starting *** GC 416 4-Oct-2003 12:49:22, 80 ms (0%), 1631863 occupied, 23368075 free *** Garbage collection starting *** GC 417 4-Oct-2003 12:49:24, 80 ms (0%), 1632003 occupied, 23367936 free *** Garbage collection starting *** GC 418 4-Oct-2003 12:49:26, 90 ms (0%), 1632143 occupied, 23367795 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q5 from e_1361 and e_1442. e_1442: 0=(q5 - 3*q8)*p2 is replaced by e_1382: 0=p2*q8 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 419 4-Oct-2003 12:49:31, 80 ms (0%), 1631537 occupied, 23368403 free shortening by 2 terms 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 1 term 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 1 term 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 1 term 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 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 1 term 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 2 terms e_868 is a consequence of e_1541. 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 2 terms e_1380 is a consequence of e_789. 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 2 terms 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 : *** Garbage collection starting *** GC 420 4-Oct-2003 12:49:36, 90 ms (0%), 1629261 occupied, 23370680 free 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 1 term 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 2 terms 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 : shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 421 4-Oct-2003 12:49:39, 80 ms (0%), 1629663 occupied, 23370277 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 422 4-Oct-2003 12:49:42, 90 ms (0%), 1629203 occupied, 23370736 free *** Garbage collection starting *** GC 423 4-Oct-2003 12:49:44, 90 ms (0%), 1629355 occupied, 23370583 free *** Garbage collection starting *** GC 424 4-Oct-2003 12:49:47, 80 ms (0%), 1629499 occupied, 23370440 free *** Garbage collection starting *** GC 425 4-Oct-2003 12:49:49, 90 ms (0%), 1629661 occupied, 23370277 free *** Garbage collection starting *** GC 426 4-Oct-2003 12:49:52, 80 ms (0%), 1629815 occupied, 23370124 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1559 and e_1294. e_1294: 0=(q35 - 5*q50)*p7 is replaced by e_1476: 0=p7*q35 e_1476 is a consequence of e_1385. 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 : *** Garbage collection starting *** GC 427 4-Oct-2003 12:49:55, 80 ms (0%), 1629669 occupied, 23370271 free *** Garbage collection starting *** GC 428 4-Oct-2003 12:49:57, 90 ms (0%), 1629777 occupied, 23370164 free *** Garbage collection starting *** GC 429 4-Oct-2003 12:50:00, 90 ms (0%), 1629923 occupied, 23370018 free *** Garbage collection starting *** GC 430 4-Oct-2003 12:50:02, 80 ms (0%), 1630249 occupied, 23369691 free *** Garbage collection starting *** GC 431 4-Oct-2003 12:50:05, 90 ms (0%), 1630505 occupied, 23369436 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1559 and e_1547. e_1547: 0=(q35 + q50)*p7 is replaced by e_1550: 0=p7*q35 e_1550 is a consequence of e_1385. 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 : *** Garbage collection starting *** GC 432 4-Oct-2003 12:50:08, 80 ms (0%), 1629161 occupied, 23370779 free *** Garbage collection starting *** GC 433 4-Oct-2003 12:50:11, 90 ms (0%), 1629693 occupied, 23370248 free *** Garbage collection starting *** GC 434 4-Oct-2003 12:50:13, 80 ms (0%), 1629941 occupied, 23369999 free *** Garbage collection starting *** GC 435 4-Oct-2003 12:50:15, 90 ms (0%), 1630327 occupied, 23369614 free *** Garbage collection starting *** GC 436 4-Oct-2003 12:50:18, 80 ms (0%), 1630611 occupied, 23369329 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1568 and e_1320. e_1320: 0=(3*q25 + 2*q26)*p10 is replaced by e_858: 0=p10*q26 e_858 is a consequence of e_1397. 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 : *** Garbage collection starting *** GC 437 4-Oct-2003 12:50:21, 80 ms (0%), 1629145 occupied, 23370796 free *** Garbage collection starting *** GC 438 4-Oct-2003 12:50:24, 90 ms (0%), 1629727 occupied, 23370213 free *** Garbage collection starting *** GC 439 4-Oct-2003 12:50:26, 80 ms (0%), 1630247 occupied, 23369694 free *** Garbage collection starting *** GC 440 4-Oct-2003 12:50:28, 90 ms (0%), 1630637 occupied, 23369303 free *** Garbage collection starting *** GC 441 4-Oct-2003 12:50:31, 80 ms (0%), 1630901 occupied, 23369040 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1568 and e_606. e_606: 0=(q25 - q52)*p10 is replaced by e_1414: 0=p10*q52 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 : *** Garbage collection starting *** GC 442 4-Oct-2003 12:50:34, 80 ms (0%), 1628895 occupied, 23371045 free *** Garbage collection starting *** GC 443 4-Oct-2003 12:50:37, 90 ms (0%), 1629051 occupied, 23370890 free *** Garbage collection starting *** GC 444 4-Oct-2003 12:50:39, 90 ms (0%), 1629173 occupied, 23370767 free *** Garbage collection starting *** GC 445 4-Oct-2003 12:50:42, 80 ms (0%), 1629195 occupied, 23370746 free *** Garbage collection starting *** GC 446 4-Oct-2003 12:50:44, 80 ms (0%), 1629353 occupied, 23370587 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1074 and e_1388. e_1388: 0=(q27 - q54)*p1 is replaced by e_1032: 0=p1*q27 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 : *** Garbage collection starting *** GC 447 4-Oct-2003 12:50:47, 90 ms (0%), 1628817 occupied, 23371124 free *** Garbage collection starting *** GC 448 4-Oct-2003 12:50:50, 90 ms (0%), 1628973 occupied, 23370967 free *** Garbage collection starting *** GC 449 4-Oct-2003 12:50:52, 90 ms (0%), 1629061 occupied, 23370880 free *** Garbage collection starting *** GC 450 4-Oct-2003 12:50:55, 80 ms (0%), 1629081 occupied, 23370859 free *** Garbage collection starting *** GC 451 4-Oct-2003 12:50:57, 80 ms (0%), 1629109 occupied, 23370832 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_1549 and e_1247. e_1247: 0=(q12 + 2*q14)*p4 is replaced by e_1411: 0=p4*q14 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 : *** Garbage collection starting *** GC 452 4-Oct-2003 12:51:01, 90 ms (0%), 1629293 occupied, 23370647 free *** Garbage collection starting *** GC 453 4-Oct-2003 12:51:03, 90 ms (0%), 1629429 occupied, 23370512 free *** Garbage collection starting *** GC 454 4-Oct-2003 12:51:06, 90 ms (0%), 1629591 occupied, 23370349 free *** Garbage collection starting *** GC 455 4-Oct-2003 12:51:08, 80 ms (0%), 1629703 occupied, 23370238 free *** Garbage collection starting *** GC 456 4-Oct-2003 12:51:11, 80 ms (0%), 1629775 occupied, 23370165 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 457 4-Oct-2003 12:51:21, 100 ms (0%), 1792493 occupied, 23207363 free *** Garbage collection starting *** GC 458 4-Oct-2003 12:51:31, 100 ms (0%), 1744139 occupied, 23255748 free *** Garbage collection starting *** GC 459 4-Oct-2003 12:51:40, 90 ms (0%), 1689862 occupied, 23310048 free *** Garbage collection starting *** GC 460 4-Oct-2003 12:51:50, 100 ms (0%), 1822021 occupied, 23177812 free *** Garbage collection starting *** GC 461 4-Oct-2003 12:52:00, 90 ms (0%), 1780642 occupied, 23219197 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1361 we get the alternative equations : 0=p2 0=q5 New level : 1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1650 : 0=p2 e_1364,e_516,e_523,e_834,e_271,e_514,e_1040,e_350,e_1053,e_997,e_644,e_699, e_1248,e_1313,e_1111,e_1326,e_1322,e_1399,e_1401,e_1402,e_1006,e_1383,e_1554, e_1275,e_1382,e_1351,e_1368,e_1258 are consequences of e_1650 Step 615: Hot list of urgent steps : e_987 is a consequence of e_1455. e_1562 is a consequence of e_603. e_1391 is a consequence of e_1461. Substitution of p2 found in e_1650 : p2=0 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 : *** Garbage collection starting *** GC 462 4-Oct-2003 12:52:04, 110 ms (0%), 1635847 occupied, 23364093 free --- 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 : --- 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 : *** Garbage collection starting *** GC 463 4-Oct-2003 12:52:09, 80 ms (0%), 1636873 occupied, 23363067 free shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 464 4-Oct-2003 12:52:13, 80 ms (0%), 1634853 occupied, 23365088 free shortening by 2 terms 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 2 terms 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 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 465 4-Oct-2003 12:52:17, 80 ms (0%), 1634799 occupied, 23365141 free *** Garbage collection starting *** GC 466 4-Oct-2003 12:52:20, 80 ms (0%), 1636047 occupied, 23363894 free *** Garbage collection starting *** GC 467 4-Oct-2003 12:52:22, 90 ms (0%), 1636191 occupied, 23363750 free *** Garbage collection starting *** GC 468 4-Oct-2003 12:52:25, 90 ms (0%), 1636321 occupied, 23363620 free *** Garbage collection starting *** GC 469 4-Oct-2003 12:52:27, 90 ms (0%), 1636457 occupied, 23363484 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 470 4-Oct-2003 12:52:38, 90 ms (0%), 1750183 occupied, 23249683 free *** Garbage collection starting *** GC 471 4-Oct-2003 12:52:48, 90 ms (0%), 1675978 occupied, 23323937 free *** Garbage collection starting *** GC 472 4-Oct-2003 12:52:58, 90 ms (0%), 1772189 occupied, 23227668 free *** Garbage collection starting *** GC 473 4-Oct-2003 12:53:08, 90 ms (0%), 1709918 occupied, 23289987 free Eliminate q52 from e_1414 and e_1418. e_1418: 0=(6*q25 + q26 - 3*q52)*p10 is replaced by e_1535: 0=(6*q25 + q26)*p10 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 : *** Garbage collection starting *** GC 474 4-Oct-2003 12:53:13, 90 ms (0%), 1635075 occupied, 23364867 free *** Garbage collection starting *** GC 475 4-Oct-2003 12:53:15, 90 ms (0%), 1635269 occupied, 23364673 free *** Garbage collection starting *** GC 476 4-Oct-2003 12:53:18, 80 ms (0%), 1635469 occupied, 23364473 free *** Garbage collection starting *** GC 477 4-Oct-2003 12:53:20, 90 ms (0%), 1635729 occupied, 23364213 free *** Garbage collection starting *** GC 478 4-Oct-2003 12:53:23, 80 ms (0%), 1636067 occupied, 23363875 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1568 and e_1535. e_1535: 0=(6*q25 + q26)*p10 is replaced by e_584: 0=p10*q26 e_584 is a consequence of e_1397. 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 : *** Garbage collection starting *** GC 479 4-Oct-2003 12:53:26, 80 ms (0%), 1635169 occupied, 23364773 free *** Garbage collection starting *** GC 480 4-Oct-2003 12:53:28, 80 ms (0%), 1635475 occupied, 23364467 free *** Garbage collection starting *** GC 481 4-Oct-2003 12:53:31, 80 ms (0%), 1635687 occupied, 23364254 free *** Garbage collection starting *** GC 482 4-Oct-2003 12:53:33, 90 ms (0%), 1636043 occupied, 23363898 free *** Garbage collection starting *** GC 483 4-Oct-2003 12:53:35, 90 ms (0%), 1636381 occupied, 23363560 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_939 and e_1396. e_1396: 0=(q1 - q26 + 12*q52)*p7 is replaced by e_851: 0=(q1 - q26)*p7 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 : *** Garbage collection starting *** GC 484 4-Oct-2003 12:53:40, 80 ms (0%), 1635319 occupied, 23364623 free *** Garbage collection starting *** GC 485 4-Oct-2003 12:53:42, 90 ms (0%), 1635901 occupied, 23364041 free *** Garbage collection starting *** GC 486 4-Oct-2003 12:53:45, 90 ms (0%), 1636331 occupied, 23363611 free *** Garbage collection starting *** GC 487 4-Oct-2003 12:53:47, 80 ms (0%), 1636627 occupied, 23363315 free *** Garbage collection starting *** GC 488 4-Oct-2003 12:53:50, 80 ms (0%), 1636851 occupied, 23363091 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_914 and e_1291. e_1291: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q32,q31,q30,p16) is replaced by e_1516: 0=(3*q31 + 2*q32)*p16 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 : *** Garbage collection starting *** GC 489 4-Oct-2003 12:53:54, 90 ms (0%), 1636255 occupied, 23363687 free *** Garbage collection starting *** GC 490 4-Oct-2003 12:53:56, 90 ms (0%), 1636825 occupied, 23363117 free *** Garbage collection starting *** GC 491 4-Oct-2003 12:53:58, 90 ms (0%), 1637127 occupied, 23362815 free *** Garbage collection starting *** GC 492 4-Oct-2003 12:54:01, 80 ms (0%), 1637331 occupied, 23362611 free *** Garbage collection starting *** GC 493 4-Oct-2003 12:54:03, 80 ms (0%), 1637487 occupied, 23362455 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_1270 and e_1516. e_1516: 0=(3*q31 + 2*q32)*p16 is replaced by e_1476: 0=p16*q31 e_1476 is a consequence of e_989. 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 : *** Garbage collection starting *** GC 494 4-Oct-2003 12:54:07, 80 ms (0%), 1635649 occupied, 23364293 free *** Garbage collection starting *** GC 495 4-Oct-2003 12:54:09, 90 ms (0%), 1636279 occupied, 23363663 free *** Garbage collection starting *** GC 496 4-Oct-2003 12:54:11, 90 ms (0%), 1636409 occupied, 23363533 free *** Garbage collection starting *** GC 497 4-Oct-2003 12:54:14, 90 ms (0%), 1636613 occupied, 23363329 free *** Garbage collection starting *** GC 498 4-Oct-2003 12:54:16, 80 ms (0%), 1636733 occupied, 23363209 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_991 and e_637. e_637: 0=(q12 + q14 - q29)*p14 is replaced by e_1547: 0=(q14 - q29)*p14 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 : *** Garbage collection starting *** GC 499 4-Oct-2003 12:54:20, 80 ms (0%), 1635587 occupied, 23364355 free *** Garbage collection starting *** GC 500 4-Oct-2003 12:54:22, 90 ms (0%), 1635743 occupied, 23364199 free *** Garbage collection starting *** GC 501 4-Oct-2003 12:54:25, 80 ms (0%), 1635767 occupied, 23364175 free *** Garbage collection starting *** GC 502 4-Oct-2003 12:54:27, 90 ms (0%), 1636017 occupied, 23363925 free *** Garbage collection starting *** GC 503 4-Oct-2003 12:54:30, 90 ms (0%), 1636199 occupied, 23363743 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1621 and e_1376. e_1376: 0=(q20 - q49 - q50)*p3 is replaced by e_858: 0=(q20 + q49)*p3 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 : *** Garbage collection starting *** GC 504 4-Oct-2003 12:54:34, 90 ms (0%), 1635317 occupied, 23364625 free *** Garbage collection starting *** GC 505 4-Oct-2003 12:54:37, 90 ms (0%), 1635679 occupied, 23364263 free *** Garbage collection starting *** GC 506 4-Oct-2003 12:54:39, 90 ms (0%), 1635823 occupied, 23364119 free *** Garbage collection starting *** GC 507 4-Oct-2003 12:54:42, 90 ms (0%), 1636007 occupied, 23363935 free *** Garbage collection starting *** GC 508 4-Oct-2003 12:54:44, 80 ms (0%), 1636391 occupied, 23363551 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_1366 and e_1375. e_1375: 0=(4*q11 + q13 - q42)*p16 is replaced by e_1388: 0=(3*q11 - q42)*p16 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 : *** Garbage collection starting *** GC 509 4-Oct-2003 12:54:48, 90 ms (0%), 1636043 occupied, 23363899 free *** Garbage collection starting *** GC 510 4-Oct-2003 12:54:50, 90 ms (0%), 1636469 occupied, 23363473 free *** Garbage collection starting *** GC 511 4-Oct-2003 12:54:53, 80 ms (0%), 1636937 occupied, 23363005 free *** Garbage collection starting *** GC 512 4-Oct-2003 12:54:55, 90 ms (0%), 1637229 occupied, 23362713 free *** Garbage collection starting *** GC 513 4-Oct-2003 12:54:58, 90 ms (0%), 1637377 occupied, 23362565 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_1366 and e_1371. e_1371: 0=(6*q11 + 4*q13 - q44)*p16 is replaced by e_1552: 0=(2*q11 - q44)*p16 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 : *** Garbage collection starting *** GC 514 4-Oct-2003 12:55:01, 90 ms (0%), 1635851 occupied, 23364091 free *** Garbage collection starting *** GC 515 4-Oct-2003 12:55:03, 90 ms (0%), 1636491 occupied, 23363451 free *** Garbage collection starting *** GC 516 4-Oct-2003 12:55:06, 80 ms (0%), 1636897 occupied, 23363045 free *** Garbage collection starting *** GC 517 4-Oct-2003 12:55:08, 90 ms (0%), 1637231 occupied, 23362711 free *** Garbage collection starting *** GC 518 4-Oct-2003 12:55:11, 90 ms (0%), 1637319 occupied, 23362623 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q59 from e_1286 and e_1164. e_1164: 3 terms, 6 factors, with derivatives of functions of all variables: (q59,q33,p3,p1) is replaced by e_953: 0=q33*(2*p1 + p3) 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 : *** Garbage collection starting *** GC 519 4-Oct-2003 12:55:20, 90 ms (0%), 1635525 occupied, 23364417 free *** Garbage collection starting *** GC 520 4-Oct-2003 12:55:22, 90 ms (0%), 1636527 occupied, 23363415 free *** Garbage collection starting *** GC 521 4-Oct-2003 12:55:25, 80 ms (0%), 1636987 occupied, 23362955 free *** Garbage collection starting *** GC 522 4-Oct-2003 12:55:27, 90 ms (0%), 1637245 occupied, 23362697 free *** Garbage collection starting *** GC 523 4-Oct-2003 12:55:30, 90 ms (0%), 1637319 occupied, 23362623 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q59 from e_272 and e_324. e_324: 3 terms, 6 factors, with derivatives of functions of all variables: (q59,q33,p3,p1) is replaced by e_578: 0=q33*(5*p1 + 4*p3) 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 : *** Garbage collection starting *** GC 524 4-Oct-2003 12:55:37, 80 ms (0%), 1636021 occupied, 23363921 free *** Garbage collection starting *** GC 525 4-Oct-2003 12:55:40, 90 ms (0%), 1636583 occupied, 23363359 free *** Garbage collection starting *** GC 526 4-Oct-2003 12:55:42, 90 ms (0%), 1636759 occupied, 23363183 free *** Garbage collection starting *** GC 527 4-Oct-2003 12:55:45, 80 ms (0%), 1636887 occupied, 23363055 free *** Garbage collection starting *** GC 528 4-Oct-2003 12:55:47, 90 ms (0%), 1636911 occupied, 23363031 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 529 4-Oct-2003 12:55:57, 100 ms (0%), 1771098 occupied, 23228773 free *** Garbage collection starting *** GC 530 4-Oct-2003 12:56:07, 90 ms (0%), 1737562 occupied, 23262310 free *** Garbage collection starting *** GC 531 4-Oct-2003 12:56:18, 90 ms (0%), 1704291 occupied, 23295619 free *** Garbage collection starting *** GC 532 4-Oct-2003 12:56:28, 90 ms (0%), 1668523 occupied, 23331405 free *** Garbage collection starting *** GC 533 4-Oct-2003 12:56:38, 100 ms (0%), 1792151 occupied, 23207681 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_863 we get the alternative equations : 0=p16 0=q17 New level : 1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1602 : 0=p16 e_1029,e_1279,e_936,e_1273,e_1099,e_11,e_1366,e_1527,e_1388,e_1552,e_517,e_830, e_897,e_989,e_1270,e_914,e_1289,e_1298,e_932,e_842,e_1356,e_980,e_1364 are consequences of e_1602 Step 652: Hot list of urgent steps : The list of inequalities got extended by: g0099*p14 + g0103*p10 e_1617 is a consequence of e_1614. Substitution of p16 found in e_1602 : p16=0 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 : *** Garbage collection starting *** GC 534 4-Oct-2003 12:56:41, 90 ms (0%), 1654868 occupied, 23345073 free --- Algebraic length reduction of equations : shortening by 1 term e_1723 is a consequence of e_1466. 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 : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 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 1 term 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 : *** Garbage collection starting *** GC 535 4-Oct-2003 12:56:46, 90 ms (0%), 1652710 occupied, 23347231 free --- 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 536 4-Oct-2003 12:56:51, 90 ms (0%), 1653870 occupied, 23346070 free 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 1 term 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 1 term 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 1 term 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 2 terms 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 537 4-Oct-2003 12:56:56, 100 ms (0%), 1651760 occupied, 23348180 free 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 2 terms 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 1 term 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 1 term 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 1 term 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 2 terms 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 : *** Garbage collection starting *** GC 538 4-Oct-2003 12:57:01, 90 ms (0%), 1650428 occupied, 23349512 free shortening by 2 terms 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 e_1356 is a consequence of e_1638. 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 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 : *** Garbage collection starting *** GC 539 4-Oct-2003 12:57:05, 90 ms (0%), 1650204 occupied, 23349736 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 540 4-Oct-2003 12:57:09, 100 ms (0%), 1651052 occupied, 23348887 free *** Garbage collection starting *** GC 541 4-Oct-2003 12:57:12, 100 ms (0%), 1651276 occupied, 23348664 free *** Garbage collection starting *** GC 542 4-Oct-2003 12:57:15, 90 ms (0%), 1651360 occupied, 23348579 free *** Garbage collection starting *** GC 543 4-Oct-2003 12:57:18, 90 ms (0%), 1651620 occupied, 23348320 free *** Garbage collection starting *** GC 544 4-Oct-2003 12:57:21, 90 ms (0%), 1651854 occupied, 23348085 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_1667 and e_1601. e_1601: 0=(q11 + 2*q28)*p8 is replaced by e_517: 0=p8*q28 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 1 term 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 1 term 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 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 1 term 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 : *** Garbage collection starting *** GC 545 4-Oct-2003 12:57:26, 90 ms (0%), 1649546 occupied, 23350393 free shortening by 3 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 : *** Garbage collection starting *** GC 546 4-Oct-2003 12:57:30, 100 ms (0%), 1650180 occupied, 23349759 free *** Garbage collection starting *** GC 547 4-Oct-2003 12:57:33, 100 ms (0%), 1650492 occupied, 23349448 free *** Garbage collection starting *** GC 548 4-Oct-2003 12:57:36, 100 ms (0%), 1650570 occupied, 23349369 free *** Garbage collection starting *** GC 549 4-Oct-2003 12:57:39, 100 ms (0%), 1650998 occupied, 23348942 free *** Garbage collection starting *** GC 550 4-Oct-2003 12:57:42, 100 ms (0%), 1651426 occupied, 23348513 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_1678 and e_1547. e_1547: 0=(q14 - q29)*p14 is replaced by e_1251: 0=p14*q29 e_1251 is a consequence of e_1599. 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 : *** Garbage collection starting *** GC 551 4-Oct-2003 12:57:46, 90 ms (0%), 1651072 occupied, 23348868 free *** Garbage collection starting *** GC 552 4-Oct-2003 12:57:49, 90 ms (0%), 1651874 occupied, 23348065 free *** Garbage collection starting *** GC 553 4-Oct-2003 12:57:52, 90 ms (0%), 1652150 occupied, 23347790 free *** Garbage collection starting *** GC 554 4-Oct-2003 12:57:55, 90 ms (0%), 1652586 occupied, 23347353 free *** Garbage collection starting *** GC 555 4-Oct-2003 12:57:58, 100 ms (0%), 1652910 occupied, 23347030 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1439 and e_1390. e_1390: 0=(8*q49 + 9*q50)*p1 is replaced by e_514: 0=p1*q49 e_514 is a consequence of e_1258. 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 : *** Garbage collection starting *** GC 556 4-Oct-2003 12:58:03, 90 ms (0%), 1650726 occupied, 23349213 free *** Garbage collection starting *** GC 557 4-Oct-2003 12:58:06, 90 ms (0%), 1651356 occupied, 23348584 free *** Garbage collection starting *** GC 558 4-Oct-2003 12:58:09, 90 ms (0%), 1651756 occupied, 23348183 free *** Garbage collection starting *** GC 559 4-Oct-2003 12:58:12, 90 ms (0%), 1652116 occupied, 23347824 free *** Garbage collection starting *** GC 560 4-Oct-2003 12:58:15, 90 ms (0%), 1652284 occupied, 23347655 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1439 and e_1053. e_1053: 0=(4*q49 + 3*q50)*p1 is replaced by e_1649: 0=p1*q49 e_1649 is a consequence of e_1258. 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 : *** Garbage collection starting *** GC 561 4-Oct-2003 12:58:19, 90 ms (0%), 1649938 occupied, 23350002 free *** Garbage collection starting *** GC 562 4-Oct-2003 12:58:22, 90 ms (0%), 1650042 occupied, 23349897 free *** Garbage collection starting *** GC 563 4-Oct-2003 12:58:25, 90 ms (0%), 1650474 occupied, 23349466 free *** Garbage collection starting *** GC 564 4-Oct-2003 12:58:28, 90 ms (0%), 1650918 occupied, 23349021 free *** Garbage collection starting *** GC 565 4-Oct-2003 12:58:31, 100 ms (0%), 1651452 occupied, 23348488 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1258 and e_1490. e_1490: 0=(q20 - q49)*p1 is replaced by e_1630: 0=p1*q20 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 : *** Garbage collection starting *** GC 566 4-Oct-2003 12:58:36, 90 ms (0%), 1650054 occupied, 23349885 free *** Garbage collection starting *** GC 567 4-Oct-2003 12:58:39, 100 ms (0%), 1650310 occupied, 23349630 free *** Garbage collection starting *** GC 568 4-Oct-2003 12:58:42, 90 ms (0%), 1650334 occupied, 23349605 free *** Garbage collection starting *** GC 569 4-Oct-2003 12:58:45, 90 ms (0%), 1650372 occupied, 23349568 free *** Garbage collection starting *** GC 570 4-Oct-2003 12:58:48, 100 ms (0%), 1650808 occupied, 23349131 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1433 and e_1368. e_1368: 0=(q42 + 2*q44)*p10 is replaced by e_1410: 0=p10*q42 e_1410 is a consequence of e_1643. 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 : *** Garbage collection starting *** GC 571 4-Oct-2003 12:58:53, 90 ms (0%), 1650372 occupied, 23349568 free *** Garbage collection starting *** GC 572 4-Oct-2003 12:58:56, 100 ms (0%), 1650982 occupied, 23348957 free *** Garbage collection starting *** GC 573 4-Oct-2003 12:58:59, 90 ms (0%), 1651548 occupied, 23348392 free *** Garbage collection starting *** GC 574 4-Oct-2003 12:59:02, 90 ms (0%), 1652052 occupied, 23347887 free *** Garbage collection starting *** GC 575 4-Oct-2003 12:59:05, 100 ms (0%), 1652534 occupied, 23347406 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_19 and e_1618. e_1618: 0=(3*q41 + q43)*p1 is replaced by e_1280: 0=p1*q41 e_1280 is a consequence of e_1609. 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 : *** Garbage collection starting *** GC 576 4-Oct-2003 12:59:09, 90 ms (0%), 1650972 occupied, 23348967 free *** Garbage collection starting *** GC 577 4-Oct-2003 12:59:12, 100 ms (0%), 1651978 occupied, 23347962 free *** Garbage collection starting *** GC 578 4-Oct-2003 12:59:15, 100 ms (0%), 1652436 occupied, 23347503 free *** Garbage collection starting *** GC 579 4-Oct-2003 12:59:18, 90 ms (0%), 1652938 occupied, 23347002 free *** Garbage collection starting *** GC 580 4-Oct-2003 12:59:21, 90 ms (0%), 1653370 occupied, 23346569 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_1614 and e_1615. e_1615: 0=(4*q41 - q43)*p4 is replaced by e_868: 0=p4*q43 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 1 term 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 : *** Garbage collection starting *** GC 581 4-Oct-2003 12:59:26, 100 ms (0%), 1650296 occupied, 23349643 free *** Garbage collection starting *** GC 582 4-Oct-2003 12:59:29, 100 ms (0%), 1650628 occupied, 23349310 free *** Garbage collection starting *** GC 583 4-Oct-2003 12:59:32, 90 ms (0%), 1650816 occupied, 23349123 free *** Garbage collection starting *** GC 584 4-Oct-2003 12:59:35, 90 ms (0%), 1651348 occupied, 23348590 free *** Garbage collection starting *** GC 585 4-Oct-2003 12:59:38, 100 ms (0%), 1651838 occupied, 23348101 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_1607 and e_1477. e_1477: 0=(2*q20 - q50)*p10 is replaced by e_1483: 0=p10*q50 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 : *** Garbage collection starting *** GC 586 4-Oct-2003 12:59:42, 90 ms (0%), 1650310 occupied, 23349629 free *** Garbage collection starting *** GC 587 4-Oct-2003 12:59:45, 90 ms (0%), 1650632 occupied, 23349308 free *** Garbage collection starting *** GC 588 4-Oct-2003 12:59:49, 90 ms (0%), 1650794 occupied, 23349145 free *** Garbage collection starting *** GC 589 4-Oct-2003 12:59:52, 100 ms (0%), 1651034 occupied, 23348906 free *** Garbage collection starting *** GC 590 4-Oct-2003 12:59:55, 90 ms (0%), 1651402 occupied, 23348537 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1604 and e_1621. e_1621: 0=(2*q49 + q50)*p3 is replaced by e_1313: 0=p3*q49 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 : *** Garbage collection starting *** GC 591 4-Oct-2003 12:59:59, 90 ms (0%), 1650324 occupied, 23349616 free *** Garbage collection starting *** GC 592 4-Oct-2003 13:00:02, 90 ms (0%), 1650508 occupied, 23349431 free *** Garbage collection starting *** GC 593 4-Oct-2003 13:00:05, 100 ms (0%), 1650544 occupied, 23349396 free *** Garbage collection starting *** GC 594 4-Oct-2003 13:00:08, 90 ms (0%), 1650874 occupied, 23349065 free *** Garbage collection starting *** GC 595 4-Oct-2003 13:00:12, 90 ms (0%), 1651438 occupied, 23348502 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1313 and e_584. e_584: 0=(5*q20 - q49)*p3 is replaced by e_1418: 0=p3*q20 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 : *** Garbage collection starting *** GC 596 4-Oct-2003 13:00:15, 90 ms (0%), 1650362 occupied, 23349577 free *** Garbage collection starting *** GC 597 4-Oct-2003 13:00:18, 90 ms (0%), 1650620 occupied, 23349320 free *** Garbage collection starting *** GC 598 4-Oct-2003 13:00:22, 100 ms (0%), 1650656 occupied, 23349283 free *** Garbage collection starting *** GC 599 4-Oct-2003 13:00:25, 90 ms (0%), 1650946 occupied, 23348994 free *** Garbage collection starting *** GC 600 4-Oct-2003 13:00:28, 100 ms (0%), 1651444 occupied, 23348495 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_1418 and e_858. e_858: 0=(q20 + q49)*p3 is replaced by e_1631: 0=p3*q49 e_1631 is a consequence of e_1313. 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 : *** Garbage collection starting *** GC 601 4-Oct-2003 13:00:32, 90 ms (0%), 1650794 occupied, 23349146 free *** Garbage collection starting *** GC 602 4-Oct-2003 13:00:35, 90 ms (0%), 1651616 occupied, 23348323 free *** Garbage collection starting *** GC 603 4-Oct-2003 13:00:38, 100 ms (0%), 1652146 occupied, 23347794 free *** Garbage collection starting *** GC 604 4-Oct-2003 13:00:41, 90 ms (0%), 1652690 occupied, 23347249 free *** Garbage collection starting *** GC 605 4-Oct-2003 13:00:45, 100 ms (0%), 1653342 occupied, 23346598 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 606 4-Oct-2003 13:00:58, 110 ms (0%), 1712944 occupied, 23286956 free *** Garbage collection starting *** GC 607 4-Oct-2003 13:01:10, 100 ms (0%), 1758287 occupied, 23241591 free *** Garbage collection starting *** GC 608 4-Oct-2003 13:01:23, 100 ms (0%), 1711827 occupied, 23288080 free *** Garbage collection starting *** GC 609 4-Oct-2003 13:01:36, 100 ms (0%), 1660705 occupied, 23339233 free *** Garbage collection starting *** GC 610 4-Oct-2003 13:01:49, 100 ms (0%), 1737839 occupied, 23262050 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1398 we get the alternative equations : 0=p4 0=q17 New level : 1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_263 : 0=p4 e_699,e_909,e_396,e_832,e_1341,e_976,e_1308,e_1404,e_572,e_1354,e_1549,e_1524, e_1566,e_1411,e_1455,e_1614,e_1556,e_1697,e_1708,e_868 are consequences of e_263 Step 792: Hot list of urgent steps : Substitution of p4 found in e_263 : p4=0 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 : *** Garbage collection starting *** GC 611 4-Oct-2003 13:01:53, 90 ms (0%), 1667037 occupied, 23332902 free --- 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 e_1647 is a consequence of e_1589. 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 1 term 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 1 term 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 1 term 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 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 : *** Garbage collection starting *** GC 612 4-Oct-2003 13:01:58, 80 ms (0%), 1661213 occupied, 23338727 free *** Garbage collection starting *** GC 613 4-Oct-2003 13:02:01, 90 ms (0%), 1662479 occupied, 23337461 free *** Garbage collection starting *** GC 614 4-Oct-2003 13:02:05, 90 ms (0%), 1662617 occupied, 23337323 free *** Garbage collection starting *** GC 615 4-Oct-2003 13:02:08, 90 ms (0%), 1662783 occupied, 23337156 free *** Garbage collection starting *** GC 616 4-Oct-2003 13:02:11, 90 ms (0%), 1663115 occupied, 23336825 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_1682 and e_1592. e_1592: 0=(q13 - q30)*p8 is replaced by e_1412: 0=p8*q13 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 : *** Garbage collection starting *** GC 617 4-Oct-2003 13:02:15, 90 ms (0%), 1661241 occupied, 23338697 free *** Garbage collection starting *** GC 618 4-Oct-2003 13:02:18, 90 ms (0%), 1661443 occupied, 23338496 free *** Garbage collection starting *** GC 619 4-Oct-2003 13:02:21, 90 ms (0%), 1661753 occupied, 23338185 free *** Garbage collection starting *** GC 620 4-Oct-2003 13:02:25, 90 ms (0%), 1662253 occupied, 23337686 free *** Garbage collection starting *** GC 621 4-Oct-2003 13:02:28, 90 ms (0%), 1662761 occupied, 23337177 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q6 from e_1698 and e_1716. e_1716: 0=(3*q24 - q6)*p8 is replaced by e_1697: 0=p8*q24 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 : *** Garbage collection starting *** GC 622 4-Oct-2003 13:02:32, 90 ms (0%), 1661433 occupied, 23338506 free *** Garbage collection starting *** GC 623 4-Oct-2003 13:02:35, 90 ms (0%), 1661791 occupied, 23338147 free *** Garbage collection starting *** GC 624 4-Oct-2003 13:02:38, 90 ms (0%), 1661833 occupied, 23338106 free *** Garbage collection starting *** GC 625 4-Oct-2003 13:02:41, 90 ms (0%), 1662365 occupied, 23337573 free *** Garbage collection starting *** GC 626 4-Oct-2003 13:02:45, 80 ms (0%), 1662921 occupied, 23337018 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_1715 and e_1509. e_1715: 0=(q14 - q29)*p8 is replaced by e_1614: 0=p8*q14 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 : *** Garbage collection starting *** GC 627 4-Oct-2003 13:02:49, 90 ms (0%), 1661607 occupied, 23338332 free *** Garbage collection starting *** GC 628 4-Oct-2003 13:02:52, 90 ms (0%), 1661903 occupied, 23338037 free *** Garbage collection starting *** GC 629 4-Oct-2003 13:02:55, 90 ms (0%), 1662211 occupied, 23337728 free *** Garbage collection starting *** GC 630 4-Oct-2003 13:02:58, 90 ms (0%), 1662811 occupied, 23337129 free *** Garbage collection starting *** GC 631 4-Oct-2003 13:03:02, 90 ms (0%), 1663411 occupied, 23336528 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_1614 and e_1509. e_1509: 0=(q14 - 2*q29)*p8 is replaced by e_1411: 0=p8*q29 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 : *** Garbage collection starting *** GC 632 4-Oct-2003 13:03:05, 90 ms (0%), 1661765 occupied, 23338174 free *** Garbage collection starting *** GC 633 4-Oct-2003 13:03:09, 90 ms (0%), 1662099 occupied, 23337839 free *** Garbage collection starting *** GC 634 4-Oct-2003 13:03:12, 90 ms (0%), 1662395 occupied, 23337544 free *** Garbage collection starting *** GC 635 4-Oct-2003 13:03:15, 90 ms (0%), 1662919 occupied, 23337019 free *** Garbage collection starting *** GC 636 4-Oct-2003 13:03:19, 90 ms (0%), 1663503 occupied, 23336436 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_1614 and e_1309. e_1309: 0=(2*q14 + q17)*p8 is replaced by e_1524: 0=p8*q17 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 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 1 term 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 : *** Garbage collection starting *** GC 637 4-Oct-2003 13:03:23, 80 ms (0%), 1662209 occupied, 23337731 free *** Garbage collection starting *** GC 638 4-Oct-2003 13:03:26, 90 ms (0%), 1662601 occupied, 23337340 free *** Garbage collection starting *** GC 639 4-Oct-2003 13:03:30, 90 ms (0%), 1662707 occupied, 23337233 free *** Garbage collection starting *** GC 640 4-Oct-2003 13:03:33, 90 ms (0%), 1663097 occupied, 23336844 free *** Garbage collection starting *** GC 641 4-Oct-2003 13:03:36, 100 ms (0%), 1663709 occupied, 23336231 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 642 4-Oct-2003 13:03:49, 100 ms (0%), 1725459 occupied, 23274441 free Eliminate q17 from e_1524 and e_1298. e_1298: 0=(q17 + q31 - q32)*p8 is replaced by e_263: 0=(q31 - q32)*p8 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 : *** Garbage collection starting *** GC 643 4-Oct-2003 13:03:53, 80 ms (0%), 1662787 occupied, 23337153 free *** Garbage collection starting *** GC 644 4-Oct-2003 13:03:56, 90 ms (0%), 1663647 occupied, 23336294 free *** Garbage collection starting *** GC 645 4-Oct-2003 13:04:00, 90 ms (0%), 1664207 occupied, 23335733 free *** Garbage collection starting *** GC 646 4-Oct-2003 13:04:03, 90 ms (0%), 1664421 occupied, 23335520 free *** Garbage collection starting *** GC 647 4-Oct-2003 13:04:06, 90 ms (0%), 1664709 occupied, 23335231 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_610 and e_263. e_263: 0=(q31 - q32)*p8 is replaced by e_271: 0=p8*q31 e_271 is a consequence of e_1701. 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 : *** Garbage collection starting *** GC 648 4-Oct-2003 13:04:10, 80 ms (0%), 1663711 occupied, 23336230 free *** Garbage collection starting *** GC 649 4-Oct-2003 13:04:13, 90 ms (0%), 1664025 occupied, 23335915 free *** Garbage collection starting *** GC 650 4-Oct-2003 13:04:17, 90 ms (0%), 1664471 occupied, 23335470 free *** Garbage collection starting *** GC 651 4-Oct-2003 13:04:20, 90 ms (0%), 1664595 occupied, 23335345 free *** Garbage collection starting *** GC 652 4-Oct-2003 13:04:23, 90 ms (0%), 1664955 occupied, 23334986 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_1524 and e_1305. e_1305: 0=(q15 + 2*q17 - q31)*p8 is replaced by e_1240: 0=(q15 - q31)*p8 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 : *** Garbage collection starting *** GC 653 4-Oct-2003 13:04:27, 90 ms (0%), 1663001 occupied, 23336939 free *** Garbage collection starting *** GC 654 4-Oct-2003 13:04:31, 90 ms (0%), 1663549 occupied, 23336392 free *** Garbage collection starting *** GC 655 4-Oct-2003 13:04:34, 90 ms (0%), 1663651 occupied, 23336289 free *** Garbage collection starting *** GC 656 4-Oct-2003 13:04:37, 90 ms (0%), 1664129 occupied, 23335812 free *** Garbage collection starting *** GC 657 4-Oct-2003 13:04:41, 90 ms (0%), 1664359 occupied, 23335581 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q31 from e_1701 and e_1240. e_1240: 0=(q15 - q31)*p8 is replaced by e_1390: 0=p8*q15 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 1 term 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 : *** Garbage collection starting *** GC 658 4-Oct-2003 13:04:45, 90 ms (0%), 1662415 occupied, 23337526 free *** Garbage collection starting *** GC 659 4-Oct-2003 13:04:48, 90 ms (0%), 1662757 occupied, 23337183 free *** Garbage collection starting *** GC 660 4-Oct-2003 13:04:51, 80 ms (0%), 1663133 occupied, 23336808 free *** Garbage collection starting *** GC 661 4-Oct-2003 13:04:55, 90 ms (0%), 1663647 occupied, 23336293 free *** Garbage collection starting *** GC 662 4-Oct-2003 13:04:58, 90 ms (0%), 1664241 occupied, 23335700 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_1390 and e_1683. e_1683: 0=(q15 - q30 - q32)*p8 is replaced by e_1615: 0=(q30 + q32)*p8 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 : *** Garbage collection starting *** GC 663 4-Oct-2003 13:05:02, 90 ms (0%), 1663395 occupied, 23336545 free *** Garbage collection starting *** GC 664 4-Oct-2003 13:05:05, 90 ms (0%), 1664267 occupied, 23335674 free *** Garbage collection starting *** GC 665 4-Oct-2003 13:05:09, 80 ms (0%), 1664531 occupied, 23335409 free *** Garbage collection starting *** GC 666 4-Oct-2003 13:05:12, 80 ms (0%), 1664791 occupied, 23335150 free *** Garbage collection starting *** GC 667 4-Oct-2003 13:05:15, 90 ms (0%), 1664857 occupied, 23335083 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_610 and e_1615. e_1615: 0=(q30 + q32)*p8 is replaced by e_1450: 0=p8*q30 e_1450 is a consequence of e_1682. 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 : *** Garbage collection starting *** GC 668 4-Oct-2003 13:05:19, 90 ms (0%), 1663715 occupied, 23336225 free *** Garbage collection starting *** GC 669 4-Oct-2003 13:05:23, 80 ms (0%), 1664447 occupied, 23335492 free *** Garbage collection starting *** GC 670 4-Oct-2003 13:05:26, 90 ms (0%), 1664915 occupied, 23335025 free *** Garbage collection starting *** GC 671 4-Oct-2003 13:05:29, 90 ms (0%), 1665225 occupied, 23334714 free *** Garbage collection starting *** GC 672 4-Oct-2003 13:05:33, 90 ms (0%), 1665693 occupied, 23334247 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_1411 and e_989. e_989: 0=(q14 + 2*q29 + q31)*p8 is replaced by e_1221: 0=(q14 + q31)*p8 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 673 4-Oct-2003 13:05:37, 90 ms (0%), 1663629 occupied, 23336310 free *** Garbage collection starting *** GC 674 4-Oct-2003 13:05:40, 90 ms (0%), 1664951 occupied, 23334989 free *** Garbage collection starting *** GC 675 4-Oct-2003 13:05:43, 90 ms (0%), 1665351 occupied, 23334588 free *** Garbage collection starting *** GC 676 4-Oct-2003 13:05:47, 90 ms (0%), 1665723 occupied, 23334217 free *** Garbage collection starting *** GC 677 4-Oct-2003 13:05:50, 90 ms (0%), 1665907 occupied, 23334032 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_1614 and e_1221. e_1221: 0=(q14 + q31)*p8 is replaced by e_1621: 0=p8*q31 e_1621 is a consequence of e_1701. 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 : *** Garbage collection starting *** GC 678 4-Oct-2003 13:05:54, 90 ms (0%), 1663155 occupied, 23336785 free *** Garbage collection starting *** GC 679 4-Oct-2003 13:05:57, 90 ms (0%), 1663629 occupied, 23336310 free *** Garbage collection starting *** GC 680 4-Oct-2003 13:06:01, 90 ms (0%), 1664061 occupied, 23335879 free *** Garbage collection starting *** GC 681 4-Oct-2003 13:06:04, 90 ms (0%), 1664471 occupied, 23335469 free *** Garbage collection starting *** GC 682 4-Oct-2003 13:06:08, 90 ms (0%), 1664901 occupied, 23335038 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_1711 and e_1623. e_1623: 0=(q19 + 2*q21 - 2*q45)*p10 is replaced by e_1442: 0=(3*q19 - 2*q45)*p10 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 : *** Garbage collection starting *** GC 683 4-Oct-2003 13:06:14, 90 ms (0%), 1663757 occupied, 23336184 free *** Garbage collection starting *** GC 684 4-Oct-2003 13:06:18, 90 ms (0%), 1664253 occupied, 23335688 free *** Garbage collection starting *** GC 685 4-Oct-2003 13:06:21, 80 ms (0%), 1664387 occupied, 23335554 free *** Garbage collection starting *** GC 686 4-Oct-2003 13:06:25, 90 ms (0%), 1664757 occupied, 23335183 free *** Garbage collection starting *** GC 687 4-Oct-2003 13:06:28, 90 ms (0%), 1665033 occupied, 23334908 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q56 from e_1591 and e_1598. e_1598: 3 terms, 6 factors, with derivatives of functions of all variables: (q56,q43,p14,p8) is replaced by e_1453: 0=q43*(p14 - p8) 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 : *** Garbage collection starting *** GC 688 4-Oct-2003 13:06:33, 90 ms (0%), 1663299 occupied, 23336641 free *** Garbage collection starting *** GC 689 4-Oct-2003 13:06:36, 90 ms (0%), 1663995 occupied, 23335946 free *** Garbage collection starting *** GC 690 4-Oct-2003 13:06:39, 90 ms (0%), 1664699 occupied, 23335241 free *** Garbage collection starting *** GC 691 4-Oct-2003 13:06:43, 90 ms (0%), 1665479 occupied, 23334462 free *** Garbage collection starting *** GC 692 4-Oct-2003 13:06:46, 90 ms (0%), 1665963 occupied, 23333976 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 693 4-Oct-2003 13:06:59, 90 ms (0%), 1690123 occupied, 23309805 free *** Garbage collection starting *** GC 694 4-Oct-2003 13:07:12, 100 ms (0%), 1720198 occupied, 23279708 free *** Garbage collection starting *** GC 695 4-Oct-2003 13:07:25, 100 ms (0%), 1750018 occupied, 23249865 free *** Garbage collection starting *** GC 696 4-Oct-2003 13:07:38, 90 ms (0%), 1703878 occupied, 23296041 free *** Garbage collection starting *** GC 697 4-Oct-2003 13:07:51, 100 ms (0%), 1750990 occupied, 23248898 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1643 we get the alternative equations : 0=p10 0=q42 New level : 1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_53 : 0=p10 e_1655,e_1660,e_1635,e_1361,e_1111,e_1543,e_1395,e_866,e_1474,e_1564,e_1636, e_1637,e_1642,e_1722,e_1711,e_932,e_1442,e_603,e_265,e_996,e_1246,e_1166,e_1397, e_602,e_1369,e_1568,e_1414,e_1299,e_1603,e_1607,e_1436,e_1435,e_1433,e_1483, e_929,e_1700,e_1706 are consequences of e_53 Step 833: 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: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p10,p8,p7,p3,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p10,p8,p7,p3,p1,p14 e_1476 is a consequence of e_1687 e_1352 is a consequence of e_1512. e_1691 is a consequence of e_980. e_1588 is a consequence of e_1512. e_879 is a consequence of e_1569. e_1460 is a consequence of e_1569. e_863 is a consequence of e_1596. e_1364 is a consequence of e_1644. e_1356 is a consequence of e_1421. e_801 is a consequence of e_1527.e_1241 is a consequence of e_11 e_1738 is a consequence of e_1527.e_1340 is a consequence of e_1727 e_1602 is a consequence of e_1622. e_523 is a consequence of e_1527. Substitution of p10 found in e_53 : p10=0 Step 834: Hot list 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 Substitution of q27 found in e_313 : q27=0 Step 835: Hot list 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 Substitution of q12 found in e_991 : q12=0 Step 836: Hot list 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 e_1342 is a consequence of e_1608. e_263 is a consequence of e_1608. Substitution of q59 found in e_1288 : q59=0 Step 837: Hot list 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_1305 is a consequence of e_975. e_1547 is a consequence of e_1344. e_1251 is a consequence of e_1344. Substitution of q26 found in e_97 : q26=0 Step 838: Hot list 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_1649 is a consequence of e_1344. e_1490 is a consequence of e_1344. Substitution of q25 found in e_1190 : q25=0 Step 839: Hot list 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 28 terms Substitution of q1 found in e_975 : q1=0 Step 840: Hot list 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 Substitution of q52 found in e_1344 : q52=0 Step 841: Hot list 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 23 terms Substitution of q36 found in e_1337 : q36=0 Step 842: Hot list 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_1407,e_1545,e_1360,e_1385 are consequences of e_1452 Substitution of q49 found in e_1193 : q49=0 Step 843: Hot list 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 Substitution of q20 found in e_1400 : q20=0 Step 844: Hot list 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 q41 found in e_1605 : q41=0 Step 845: Hot list 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 q33 found in e_1608 : q33=0 Step 846: Hot list 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 25 terms Substitution of q29 found in e_1599 : q29=0 Step 847: Hot list 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 q42 found in e_1366 : q42=0 Step 848: Hot list 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 Substitution of q14 found in e_1678 : q14=0 Step 849: Hot list 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 Substitution of q24 found in e_1372 : q24=0 Step 850: Hot list 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 Substitution of q57 found in e_1687 : q57=0 Step 851: Hot list 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 Substitution of q45 found in e_1622 : q45=0 Step 852: Hot list 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_1667 is a consequence of e_11 *** Garbage collection starting *** GC 698 4-Oct-2003 13:07:55, 90 ms (0%), 1674275 occupied, 23325664 free Substitution of q40 found in e_1527 : q40=0 Step 853: Hot list 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 16 terms Substitution of q39 found in e_1279 : q39=0 Step 854: Hot list 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 q48 found in e_1685 : q48=0 Step 855: Hot list 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 14 terms Substitution of q35 found in e_1452 : q35=0 Step 856: Hot list 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_1548 is a consequence of e_11. Substitution of q44 found in e_1586 : q44=0 Step 857: Hot list 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_1289 is a consequence of e_1593. Substitution of q16 found in e_1727 : q16=0 Step 858: Hot list 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 q11 found in e_11 : q11=0 Step 859: Hot list 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 21 terms e_1414 is a consequence of e_1524. Substitution of q31 by an expression in q17 found in e_1594 : q31=q17 Step 860: Hot list 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 21 terms e_1369 is a consequence of e_1524. e_1443 is a consequence of e_1628. e_465 is a consequence of e_1322. Substitution of q30 by an expression in q17 found in e_1638 : q30= - 3*q17 Step 861: Hot list 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 21 terms e_1397 is a consequence of e_1390. Substitution of q32 by an expression in q15 found in e_1220 : q32= - q15 Step 862: Hot list 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_1510 is a consequence of e_1370. Substitution of q19 by an expression in q10 found in e_1455 : q19=q10 Step 863: Hot list 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 21 terms e_909 is a consequence of e_606. e_1246 is a consequence of e_1412. e_602 is a consequence of e_1390. Substitution of q17 by an expression in q13 found in e_1495 : 1 q17=---*q13 3 Step 864: Hot list 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 21 terms e_1628 is a consequence of e_606. e_1425 is a consequence of e_1679. e_1375 is a consequence of e_1463.e_1706 is a consequence of e_1278 e_1657 is a consequence of e_1099. Substitution of q55 found in e_1733 : q55=0 Step 865: Hot list 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 21 terms e_1370 is a consequence of e_1651. Substitution of q10 by an expression in q5 found in e_1716 : 1 q10= - ---*q5 2 Step 866: Hot list 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_1554 is a consequence of e_1651. Substitution of q21 by an expression in q5 found in e_1549 : q21=q5 Step 867: Hot list 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 21 terms e_1249,e_1542,e_1376,e_1553,e_1412,e_606 are consequences of e_1690 e_1679 is a consequence of e_1690. e_1463 is a consequence of e_1690. e_1564 is a consequence of e_1690. e_1627 is a consequence of e_1690. e_1643 is a consequence of e_1690. e_1270 is a consequence of e_1582. e_1669 is a consequence of e_1322. e_699 is a consequence of e_1690. e_1383 is a consequence of e_1690. e_637 is a consequence of e_1690. e_1130 is a consequence of e_1690. e_23 is a consequence of e_1690. Substitution of q15 by an expression in q13 found in e_1354 : q15=q13 Step 868: Hot list 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 15 terms e_517,e_1424 are consequences of e_1707 e_1278 is a consequence of e_1707. e_1737 is a consequence of e_1707. e_1590 is a consequence of e_1582. e_1666 is a consequence of e_1707. e_1371 is a consequence of e_1707. e_1432 is a consequence of e_1707. e_1516 is a consequence of e_1707. e_1298 is a consequence of e_1707. e_1205 is a consequence of e_1707. Substitution of q13 found in e_1690 : q13=0 Step 869: Hot list 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_1668 is a consequence of e_1322. e_1675 is a consequence of e_1671. Substitution of q28 found in e_1707 : q28=0 Step 870: Hot list 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_1651 is a consequence of e_1172 e_1550 is a consequence of e_1172. e_1615 is a consequence of e_1172. Substitution of q8 by an expression in q5 found in e_1692 : 3 q8=---*q5 2 Step 871: Hot list 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 9 terms e_1694 is a consequence of e_1421. e_1684 is a consequence of e_1421. e_1442 is a consequence of e_1593. Substitution of q5 found in e_1172 : q5=0 Step 872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 699 4-Oct-2003 13:07:58, 80 ms (0%), 1662073 occupied, 23337865 free --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 13 terms e_847 is a consequence of e_989. Substitution of q53 by an expression in q23, q7 found in e_1592 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q23 by an expression in q7, q4, q3 found in e_516 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q7 by an expression in q4, q3, q2 found in e_1381 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 13 terms e_1384 is a consequence of e_1273. Substitution of q18 by an expression in q38, p1, p14 found in e_1437 : p1*q38 q18=-------- p14 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 : The list of inequalities got extended by: An expression with 13 terms e_1488 is a consequence of e_1273. Substitution of q22 by an expression in q38, p3, p14 found in e_789 : p3*q38 q22=-------- p14 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 13 terms e_898 is a consequence of e_1273. e_1598 is a consequence of e_1208. Substitution of q9 by an expression in q38, p7, p14 found in e_1572 : p7*q38 q9=-------- p14 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 13 terms e_1619,e_1559,e_1604,e_1439,e_169 are consequences of e_997 Substitution of q6 by an expression in q38, p8, p14 found in e_1273 : p8*q38 q6=-------- p14 Step 879: Hot list 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_1398 is a consequence of e_1541 Substitution of q50 found in e_997 : q50=0 Step 880: Hot list 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 11 terms e_1291 is a consequence of e_1208. e_1670 is a consequence of e_1208. e_830 is a consequence of e_1208. e_1363 is a consequence of e_1632. e_1629 is a consequence of e_1597. e_1294 is a consequence of e_1605. e_1294 is a consequence of e_1208. e_1396 is a consequence of e_1605. Substitution of q34 found in e_1541 : q34=0 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 : 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 11 terms e_1477 is a consequence of e_1208. Substitution of q2 by an expression in q38, p7, p14 found in e_1608 : p7*q38 q2=-------- p14 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 : The list of inequalities got extended by: An expression with 14 terms 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_1639 is a consequence of e_1208. e_1458 is a consequence of e_1208. e_1687 is a consequence of e_1208. e_1320 is a consequence of e_1599. Substitution of q3 by an expression in q38, p7, p3, p14 found in e_1489 : - p3*q38 + p7*q38 q3=-------------------- p14 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 : The list of inequalities got extended by: An expression with 12 terms q38 The lexicographical ordering of unknowns is changed because q38 has to be non-zero, giving q38 a low priority. Old ordering: q58,q56,q54,q51,q47,q46,q43,q38,q37,q4,p8,p7,p3,p1,p14 New ordering: q58,q56,q54,q51,q47,q46,q43,q37,q4,q38,p8,p7,p3,p1,p14 The list of inequalities got extended by: An expression with 15 terms e_1450 is a consequence of e_1208. e_1148 is a consequence of e_1605. e_1148 is a consequence of e_1599. e_989 is a consequence of e_1208. e_1678 is a consequence of e_1605. e_1678 is a consequence of e_1208. Substitution of q4 by an expression in q38, p7, p14 found in e_1366 : - 2*p7*q38 q4=------------- p14 Step 884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0033*p7 + g0036*p3 The list of inequalities got extended by: An expression with 11 terms e_1677 is a consequence of e_1421. e_868 is a consequence of e_1540. e_1568 is a consequence of e_1582. e_1579 is a consequence of e_980. e_1433 is a consequence of e_1322. e_1435 is a consequence of e_1512. e_1436 is a consequence of e_1512. e_1607 is a consequence of e_1322. e_1603 is a consequence of e_1405. e_916 is a consequence of e_1622. e_1718 is a consequence of e_1622. Substitution of p1 found in e_1208 : p1=0 Step 885: Hot list 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_980,e_1597 are consequences of e_1164 e_1620,e_1466 are consequences of e_1414 e_505,e_1405 are consequences of e_1443 e_1671 is a consequence of e_1674 e_1166 is a consequence of e_1676 e_1634,e_1029,e_996 are consequences of e_1509 e_1299,e_1419,e_1388 are consequences of e_465 Substitution of p8 found in e_1605 : p8=0 Step 886: Hot list 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_1421,e_1540 are consequences of e_1676 e_1708 is a consequence of e_1711. Substitution of q46 found in e_1164 : q46=0 Step 887: Hot list 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 Substitution of q43 found in e_1414 : q43=0 Step 888: Hot list 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 q54 found in e_1443 : q54=0 Step 889: Hot list 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 6 terms Substitution of q56 found in e_465 : q56=0 Step 890: Hot list 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 5 terms e_1566 is a consequence of e_1632. e_1556 is a consequence of e_1632.e_1482,e_1484,e_1711,e_1543,e_1656,e_1632, e_1099,e_1582,e_1683 are consequences of e_572 e_1622,e_1709,e_1512,e_1322 are consequences of e_1637 e_1646 is a consequence of e_1509. e_1111 is a consequence of e_1509. e_1309 is a consequence of e_1509. Substitution of q37 found in e_1676 : q37=0 Step 891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p3 The list of inequalities got extended by: p7 The list of inequalities got extended by: An expression with 5 terms Substitution of p7 found in e_572 : p7=0 leads to a contradiction in : 0=p3 - 4*p7 Time: 0 ms Time: 0 ms Time: 140 ms *** Garbage collection starting *** GC 700 4-Oct-2003 13:08:02, 80 ms (0%), 1267130 occupied, 23732814 free The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p10,p8,p7,p3,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p8,p7,p3,p1,p10 New level : 1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_53 : 0=q42 e_1366 is a consequence of e_53 Step 892: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms Substitution of q42 found in e_53 : q42=0 Step 893: Hot list 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 Substitution of q27 found in e_603 : q27=0 Step 894: Hot list 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 31 terms e_169 is a consequence of e_1397. Substitution of q1 found in e_265 : q1=0 Step 895: Hot list 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 30 terms Substitution of q29 found in e_996 : q29=0 Step 896: Hot list 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 Substitution of q12 found in e_1246 : q12=0 Step 897: Hot list 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 Substitution of q14 found in e_1166 : q14=0 Step 898: Hot list 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 e_1602 is a consequence of e_1414. e_1669 is a consequence of e_1414. Substitution of q26 found in e_1397 : q26=0 Step 899: Hot list 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 Substitution of q49 found in e_602 : q49=0 Step 900: Hot list 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_1679 is a consequence of e_1435. e_1278 is a consequence of e_1435. Substitution of q59 found in e_1369 : q59=0 Step 901: Hot list 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_1685 is a consequence of e_1414. e_1592 is a consequence of e_1414. Substitution of q25 found in e_1568 : q25=0 Step 902: Hot list 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 q52 found in e_1414 : q52=0 Step 903: Hot list 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 q54 found in e_1299 : q54=0 Step 904: Hot list 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 q53 found in e_1603 : q53=0 Step 905: Hot list 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 Substitution of q20 found in e_1607 : q20=0 Step 906: Hot list 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 Substitution of q41 found in e_1436 : q41=0 Step 907: Hot list 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 Substitution of q33 found in e_1435 : q33=0 Step 908: Hot list 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 Substitution of q44 found in e_1433 : q44=0 Step 909: Hot list 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 Substitution of q50 found in e_1483 : q50=0 Step 910: Hot list 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 e_1412 is a consequence of e_1639 e_1524 is a consequence of e_1615 e_11,e_1390 are consequences of e_1450 e_989 is a consequence of e_1615. Substitution of q47 found in e_929 : q47=0 Step 911: Hot list 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 q43 found in e_1700 : q43=0 Step 912: Hot list 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 Substitution of q24 found in e_1706 : q24=0 Step 913: Hot list 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_1477 is a consequence of e_1450. e_1164 is a consequence of e_1615. Substitution of q13 found in e_1639 : q13=0 Step 914: Hot list 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_1393 is a consequence of e_1660.e_1738,e_1667 are consequences of e_1722 e_1282 is a consequence of e_1642 e_1305 is a consequence of e_1450. e_1308 is a consequence of e_1688. e_350 is a consequence of e_1729. Substitution of q17 found in e_1615 : q17=0 Step 915: Hot list 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_1660 is a consequence of e_1642. e_1590 is a consequence of e_1642. Substitution of q15 found in e_1450 : q15=0 Step 916: Hot list 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_1655 is a consequence of e_1642. e_1018 is a consequence of e_1642. e_1636 is a consequence of e_1642. e_1420 is a consequence of e_1642. e_1581 is a consequence of e_1642. e_1452 is a consequence of e_1642. e_271 is a consequence of e_1642. Substitution of q11 found in e_1722 : q11=0 Step 917: Hot list 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 e_997 is a consequence of e_1396 Substitution of q40 found in e_1642 : q40=0 Step 918: Hot list 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_517 is a consequence of e_1380 e_584 is a consequence of e_1380. Substitution of q55 by an expression in q28 found in e_1396 : q55=q28 Step 919: Hot list 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 24 terms The list of inequalities got extended by: An expression with 13 terms e_1208 is a consequence of e_1682. e_1541 is a consequence of e_1489.e_1688,e_1701 are consequences of e_832 e_1240 is a consequence of e_1657. e_1273 is a consequence of e_832. Substitution of q28 found in e_1380 : q28=0 Step 920: Hot list 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 23 terms e_1721,e_610 are consequences of e_1294 e_858 is a consequence of e_1294. e_1354 is a consequence of e_1294. e_1699 is a consequence of e_1730. e_1368 is a consequence of e_1730. Substitution of q31 found in e_832 : q31=0 Step 921: Hot list 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 22 terms e_1654,e_1682,e_1251 are consequences of e_1363 e_1547 is a consequence of e_1363. e_1291 is a consequence of e_1632. e_1598 is a consequence of e_1363. e_1681 is a consequence of e_1363. e_606 is a consequence of e_1548. e_1631 is a consequence of e_1476. e_1527 is a consequence of e_1657. e_1729 is a consequence of e_1730. Substitution of q32 found in e_1294 : q32=0 Step 922: Hot list 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 21 terms e_1476,e_1402,e_1342,e_916,e_514,e_1657,e_1632,e_465 are consequences of e_1628 e_1489 is a consequence of e_1628. e_1053 is a consequence of e_1006. e_1695 is a consequence of e_1006. e_637 is a consequence of e_1628. e_1376 is a consequence of e_1628. e_1728 is a consequence of e_1730. e_1279 is a consequence of e_1628. e_1535 is a consequence of e_1628. e_1270 is a consequence of e_1628. e_1389 is a consequence of e_1628. Substitution of q30 found in e_1363 : q30=0 Step 923: Hot list 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 20 terms e_834 is a consequence of e_1006. e_1627 is a consequence of e_1730. Substitution of q57 found in e_1628 : q57=0 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 20 terms *** Garbage collection starting *** GC 701 4-Oct-2003 13:08:05, 60 ms (0%), 1273678 occupied, 23726264 free Substitution of q8 by an expression in q5 found in e_1564 : 1 q8=---*q5 3 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 : The list of inequalities got extended by: An expression with 12 terms e_1731 is a consequence of e_53. Substitution of q45 by an expression in q16 found in e_1637 : q45=q16 Step 926: Hot list 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 q19 by an expression in q16 found in e_1442 : 2 q19=---*q16 3 Step 927: Hot list 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 20 terms Substitution of q39 by an expression in q10 found in e_53 : q39=q10 Step 928: Hot list 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 q21 by an expression in q16 found in e_1711 : 2 q21=---*q16 3 Step 929: Hot list 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_1635 is a consequence of e_1395. e_1586 is a consequence of e_1361. e_1364 is a consequence of e_1361. e_1398 is a consequence of e_1361. Substitution of q48 by an expression in q16 found in e_866 : 5 q48=---*q16 3 Step 930: Hot list 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 10 terms e_516 is a consequence of e_1474. e_897 is a consequence of e_1378. e_1715 is a consequence of e_1395. e_1716 is a consequence of e_1395. e_863 is a consequence of e_932. Substitution of q16 found in e_1361 : q16=0 Step 931: Hot list 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 Substitution of q23 found in e_1395 : q23=0 Step 932: Hot list 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_1455 is a consequence of e_1474. e_1669 is a consequence of e_1378. Substitution of q18 found in e_932 : q18=0 Step 933: Hot list 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_1671 is a consequence of e_1589. Substitution of q22 found in e_1474 : q22=0 Step 934: Hot list 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 20 terms Substitution of q36 by an expression in q7 found in e_1411 : q36=q7 Step 935: Hot list 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 The list of inequalities got extended by: An expression with 20 terms e_1494,e_1647 are consequences of e_1366 e_1130 is a consequence of e_1366. e_1601 is a consequence of e_1366. Substitution of q10 by an expression in q5 found in e_1249 : 5 q10= - ---*q5 6 Step 936: Hot list 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 9 terms The list of inequalities got extended by: An expression with 16 terms e_1725 is a consequence of e_1322. e_1467 is a consequence of e_1727. e_1550 is a consequence of e_1727. e_1424 is a consequence of e_1509. e_1099 is a consequence of e_169. Substitution of q5 found in e_1366 : q5=0 Step 937: Hot list 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 15 terms e_1708,e_1369,e_1509 are consequences of e_169 Substitution of q4 found in e_1554 : q4=0 Step 938: Hot list 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 The list of inequalities got extended by: An expression with 13 terms e_1029 is a consequence of e_1375. e_868 is a consequence of e_996. e_265 is a consequence of e_1375. e_603 is a consequence of e_996. e_1556 is a consequence of e_1375. *** Garbage collection starting *** GC 702 4-Oct-2003 13:08:09, 50 ms (0%), 1281124 occupied, 23718818 free e_1309 is a consequence of e_1375. e_1622 is a consequence of e_1375. Substitution of q7 found in e_169 : q7=0 Step 939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0062*q9 + g0065*q6 + g0069*q2 The list of inequalities got extended by: An expression with 12 terms e_1246 is a consequence of e_996. e_1510 is a consequence of e_1629. e_847 is a consequence of e_1322. e_1356 is a consequence of e_1629. e_1568 is a consequence of e_1718. e_1289 is a consequence of e_1614. Substitution of q3 found in e_1375 : q3=0 Step 940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0062*q9 + g0065*q6 The list of inequalities got extended by: An expression with 11 terms e_1742 is a consequence of e_1614. e_1674 is a consequence of e_1614. e_1718 is a consequence of e_1629. e_1166 is a consequence of e_1629. e_1651 is a consequence of e_1684. Substitution of q2 found in e_996 : q2=0 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 : The list of inequalities got extended by: g0062*p7*q46 + g0065*p10*q6 The list of inequalities got extended by: An expression with 11 terms e_1298 is a consequence of e_1589. e_1750 is a consequence of e_1378. Substitution of q9 by an expression in q46, p7, p10 found in e_1362 : p7*q46 q9=-------- p10 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 : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 12 terms e_1372 is a consequence of e_898. Substitution of q35 by an expression in q46, q6, p8, p10 found in e_1338 : p10*q6 - p8*q46 q35=----------------- p10 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 14 terms e_1642 is a consequence of e_1706. e_517 is a consequence of e_898. Substitution of q38 by an expression in q46, q6, p14, p8, p10 found in e_1530 : 8 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q34 by an expression in q51, q37, q6, p8, p10 found in e_1663 : 10 factors in 4 terms 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 : 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 22 terms Substitution of q6 by an expression in q46, q37, p14, p8, p10 found in e_1735 : 10 factors in 5 terms 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 2 terms 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 3 terms e_1509 is a consequence of e_1752. 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 2 terms 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 : shortening by 3 terms Step 962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 2 terms e_1651 is a consequence of e_1589. 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 2 terms e_996 is a consequence of e_1589. 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 : shortening by 2 terms e_1646 is a consequence of e_1589. Step 967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 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 : *** Garbage collection starting *** GC 703 4-Oct-2003 13:08:12, 60 ms (0%), 1287918 occupied, 23712017 free --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 2 terms 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 e_1404 is a consequence of e_1378. 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 2 terms e_1269 is a consequence of e_1378. 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 e_1607 is a consequence of e_1378. 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 terms e_1280 is a consequence of e_1709. Step 990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1683 is a consequence of e_1709. 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 : --- Algebraic length reduction of equations : shortening by 2 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 e_1221 is a consequence of e_1704. 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 e_1621 is a consequence of e_1704. 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 2 terms e_1623 is a consequence of e_1704. 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 e_1699 is a consequence of e_1369. 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 2 terms e_1564 is a consequence of e_1535. 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 e_1635 is a consequence of e_1643. 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 2 terms 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 2 terms 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 2 terms 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 1 term e_1148,e_1458,e_1398,e_516,e_1535,e_1389,e_1666,e_1586,e_1099 are consequences of e_1361 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 e_1455 is a consequence of e_1704. 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 1 term e_1669 is a consequence of e_1704. 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 1 term e_932 is a consequence of e_1704. 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 e_1671 is a consequence of e_1704. 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 : --- Length reducing decoupling steps : Eliminate q46 from e_1361 and e_1752. e_1752: 0=(q46 - q51)*p7 is replaced by e_1474: 0=p7*q51 e_1474 is a consequence of e_1728. 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 704 4-Oct-2003 13:08:15, 50 ms (0%), 1281493 occupied, 23718448 free factorizing e_1006 we get the alternative equations : 0=q58 0=p3 New level : 1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1692 : 0=q58 e_1734,e_1432,e_1463,e_1339,e_1255,e_263,e_1383,e_1358,e_1730,e_1548 are consequences of e_1692 Step 1038: 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 21 terms Substitution of q58 found in e_1692 : q58=0 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1629 we get the alternative equations : 0=q37 0=p3 New level : 1.1.1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1375 : 0=q37 e_1540,e_1542,e_1555,e_1727,e_1582 are consequences of e_1375 Step 1040: Hot list of urgent steps : The list of inequalities got extended by: g0062*p7 - g0065*p14 + g0065*p8 q46 The lexicographical ordering of unknowns is changed because q46 has to be non-zero, giving q46 a low priority. Old ordering: q56,q51,q46,q37,p14,p8,p7,p3,p1,p10 New ordering: q56,q51,q37,q46,p14,p8,p7,p3,p1,p10 The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 12 terms e_1618,e_1642 are consequences of e_1356 e_1718 is a consequence of e_1356. e_1674 is a consequence of e_1356. e_1166 is a consequence of e_1356. Substitution of q37 found in e_1375 : q37=0 Step 1041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0033*p7 + g0036*p3 e_842 is a consequence of e_1589.e_1388,e_1709 are consequences of e_842 Substitution of p1 found in e_1378 : p1=0 Step 1042: 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: q56,q51,q46,p14,p8,p7,p3,p10 New ordering: q56,q51,q46,p14,p8,p3,p7,p10 e_23 is a consequence of e_1419.e_1634,e_1659,e_1591 are consequences of e_23 Substitution of p3 found in e_1589 : p3=0 Step 1043: Hot list 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 11 terms Substitution of q56 found in e_1419 : q56=0 Step 1044: Hot list 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 10 terms Substitution of q51 found in e_1728 : q51=0 Step 1045: 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 The list of inequalities got extended by: An expression with 8 terms Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: q37 New level : 1.1.1.1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1375 : 0=p3 e_1388,e_1709,e_1589 are consequences of e_1375 Step 1046: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0037*p1 e_1568 is a consequence of e_1582.e_1419,e_1728,e_1361 are consequences of e_1568 e_1356 is a consequence of e_1727.e_1611,e_1704,e_1378 are consequences of e_1356 e_1718 is a consequence of e_1727. e_1674 is a consequence of e_1582. e_1166 is a consequence of e_1555. Substitution of p3 found in e_1375 : p3=0 Step 1047: 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: q56,q51,q46,q37,p14,p8,p7,p1,p10 New ordering: q56,q51,q46,q37,p14,p8,p1,p7,p10 The list of inequalities got extended by: p1 Substitution of p1 found in e_1727 : p1=0 leads to a contradiction in : 0=p1 + p7 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: q58 The lexicographical ordering of unknowns is changed because q58 has to be non-zero, giving q58 a low priority. Old ordering: q58,q56,q51,q46,q37,p14,p8,p7,p3,p1,p10 New ordering: q56,q51,q46,q37,q58,p14,p8,p7,p3,p1,p10 New level : 1.1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1692 : 0=p3 e_1388,e_1709,e_1589,e_1629 are consequences of e_1692 Step 1048: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0037*p1 e_1375 is a consequence of e_1582. e_1375 is a consequence of e_1730. e_1568 is a consequence of e_1727. e_1568 is a consequence of e_1548. e_1356 is a consequence of e_1378. e_1356 is a consequence of e_1548. e_1718 is a consequence of e_1730.e_1419,e_1582,e_1728,e_1361 are consequences of e_1718 e_1674 is a consequence of e_1548.e_1611,e_1704,e_1378,e_1727 are consequences of e_1674 e_1166 is a consequence of e_1548. e_1742 is a consequence of e_1730. e_23 is a consequence of e_1383. Substitution of p3 found in e_1692 : p3=0 Step 1049: Hot list 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 11 terms The list of inequalities got extended by: An expression with 3 terms e_1642 is a consequence of e_834 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: q56,q51,q46,q37,q58,p14,p8,p7,p1,p10 New ordering: q56,q51,q46,q37,q58,p8,p7,p1,p14,p10 e_1341 is a consequence of e_832. e_1702 is a consequence of e_832. e_1251 is a consequence of e_832. e_909 is a consequence of e_832. e_1436 is a consequence of e_832. Substitution of p8 found in e_1358 : p8=0 Step 1050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p1 The list of inequalities got extended by: p7 The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: q37 + q46 Substitution of p7 found in e_1730 : p7=0 leads to a contradiction in : 0=2*p1 - 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: 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: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p10,p8,p7,p4,p3,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p10,p8,p7,p3,p1,p4 New level : 1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_263 : 0=q17 Step 1051: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms e_929 is a consequence of e_1697. e_1523 is a consequence of e_1411. Substitution of q17 found in e_263 : q17=0 Step 1052: Hot list 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 Substitution of q24 found in e_396 : q24=0 Step 1053: Hot list 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 Substitution of q20 found in e_832 : q20=0 Step 1054: Hot list 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 29 terms e_1053 is a consequence of e_1524. Substitution of q1 found in e_1341 : q1=0 Step 1055: Hot list 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 26 terms e_1410 is a consequence of e_1308. e_1280 is a consequence of e_572. Substitution of q35 found in e_976 : q35=0 Step 1056: Hot list 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 Substitution of q49 found in e_1308 : q49=0 Step 1057: Hot list 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 Substitution of q54 found in e_1404 : q54=0 Step 1058: Hot list 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_1452 is a consequence of e_1615. Substitution of q50 found in e_572 : q50=0 Step 1059: Hot list 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 Substitution of q33 found in e_1354 : q33=0 Step 1060: Hot list 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 Substitution of q12 found in e_1549 : q12=0 Step 1061: Hot list 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 q26 found in e_1524 : q26=0 Step 1062: Hot list 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 e_1371 is a consequence of e_1432. Substitution of q25 found in e_1566 : q25=0 Step 1063: Hot list 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 Substitution of q14 found in e_1411 : q14=0 Step 1064: Hot list 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 Substitution of q27 found in e_1455 : q27=0 Step 1065: Hot list 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 q41 found in e_1614 : q41=0 Step 1066: Hot list 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_1710 is a consequence of e_1700. Substitution of q15 found in e_1556 : q15=0 Step 1067: Hot list 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_1636 is a consequence of e_1698. Substitution of q11 found in e_1697 : q11=0 Step 1068: Hot list 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_1111 is a consequence of e_1550. e_1724 is a consequence of e_1682. e_1370 is a consequence of e_1655. e_892 is a consequence of e_1700. Substitution of q13 found in e_1708 : q13=0 Step 1069: Hot list 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_1626,e_987,e_1391,e_1700,e_1682 are consequences of e_671 Substitution of q43 found in e_868 : q43=0 Step 1070: Hot list 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_1348 is a consequence of e_1650. e_1589 is a consequence of e_1657. Substitution of q22 found in e_1386 : q22=0 Step 1071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 705 4-Oct-2003 13:08:21, 50 ms (0%), 1287963 occupied, 23711983 free The list of inequalities got extended by: An expression with 18 terms e_1579 is a consequence of e_1650. e_1632 is a consequence of e_1657. Substitution of q18 found in e_1247 : q18=0 Step 1072: Hot list 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_1356 is a consequence of e_1644. e_1421 is a consequence of e_1622. Substitution of q46 found in e_1650 : q46=0 Step 1073: Hot list 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 25 terms e_801 is a consequence of e_1657. Substitution of q9 found in e_1644 : q9=0 Step 1074: Hot list 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 24 terms e_1540 is a consequence of e_1618.e_1380 is a consequence of e_699 Substitution of q38 found in e_1657 : q38=0 Step 1075: Hot list 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 Substitution of q47 found in e_671 : q47=0 Step 1076: Hot list 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 e_1622 is a consequence of e_1472 e_1638 is a consequence of e_529 Substitution of q51 found in e_909 : q51=0 Step 1077: Hot list 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 15 terms e_11 is a consequence of e_1675 e_842 is a consequence of e_1675. e_1597 is a consequence of e_529. e_1273 is a consequence of e_1615. Substitution of q34 found in e_699 : q34=0 Step 1078: Hot list 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 e_1679 is a consequence of e_1586. Substitution of q21 found in e_1472 : q21=0 Step 1079: Hot list 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 15 terms Substitution of q4 found in e_1675 : q4=0 Step 1080: Hot list 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 e_1244,e_1665 are consequences of e_1374 e_1398 is a consequence of e_866. Substitution of q23 found in e_529 : q23=0 Step 1081: Hot list 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_932 is a consequence of e_1374. Substitution of q16 found in e_1600 : q16=0 Step 1082: Hot list 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_1278 is a consequence of e_866. e_1395 is a consequence of e_866. e_1623 is a consequence of e_1637. Substitution of q19 found in e_1374 : q19=0 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 12 terms e_1552 is a consequence of e_1592. e_1683 is a consequence of e_1592. e_1411 is a consequence of e_1592. Substitution of q30 by an expression in q32, p8, p4 found in e_1680 : 1 - ---*p8*q32 2 q30=--------------- p4 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 12 terms e_517 is a consequence of e_1592. e_1617 is a consequence of e_1592. *** Garbage collection starting *** GC 706 4-Oct-2003 13:08:25, 50 ms (0%), 1306995 occupied, 23692949 free Substitution of q28 by an expression in q32, p8, p4 found in e_1672 : 1 2 ---*p8 *q32 4 q28=------------- 2 p4 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 12 terms e_1592 is a consequence of e_1130. e_1542 is a consequence of e_1130. e_1534 is a consequence of e_1130. Substitution of q32 by an expression in q31, p8, p4 found in e_1686 : 1 ---*p8*q31 2 q32=------------ p4 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 12 terms e_989 is a consequence of e_1130. e_989 is a consequence of e_1205. e_1436 is a consequence of e_1130. e_1249 is a consequence of e_1130. e_1517 is a consequence of e_1130. Substitution of q31 by an expression in q29, p8, p4 found in e_1689 : - p8*q29 q31=----------- p4 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q56 by an expression in q58, p8, p4 found in e_1625 : 1 - ---*p8*q58 6 q56=--------------- p4 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q10 by an expression in q5, p8, p4 found in e_1164 : 1 - ---*p8*q5 2 q10=-------------- p4 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 : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q5 by an expression in q37, q8, p8, p7, p4 found in e_1654 : 8 factors in 3 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q7 by an expression in q37, q2, p8, p7, p4 found in e_1671 : 8 factors in 3 terms 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 : *** Garbage collection starting *** GC 707 4-Oct-2003 13:08:28, 50 ms (0%), 1309951 occupied, 23689992 free shortening by 1 term e_1611 is a consequence of e_1767 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by -1 terms e_1649 is a consequence of e_1130. e_1649 is a consequence of e_996. e_1649 is a consequence of e_1205. 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 3 terms e_1419 is a consequence of e_1639 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 : shortening by 1 term 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 : shortening by 1 term e_1634 is a consequence of e_1477 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 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 1 term 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 e_1604 is a consequence of e_1388. 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 1 term 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 1 term 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 1 term 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 1 term 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 e_1549 is a consequence of e_1130. 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 : shortening by 1 term e_1628 is a consequence of e_1130. 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 e_637 is a consequence of e_1130. 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 e_1383 is a consequence of e_1130. 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 e_1524 is a consequence of e_1130. 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 2 terms 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 e_1388 is a consequence of e_1627 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 1 term e_1566 is a consequence of e_606. 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 e_1678 is a consequence of e_1627. 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 e_1683 is a consequence of e_1130. 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 e_1411 is a consequence of e_1130. 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 e_1680 is a consequence of e_1130. 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 e_1322 is a consequence of e_1130. e_1322 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 e_1592 is a consequence of e_1130. e_1592 is a consequence of e_1599. 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 e_1542 is a consequence of e_1130. e_1542 is a consequence of e_1599. e_1542 is a consequence of e_1205. 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 e_1534 is a consequence of e_1130. e_1534 is a consequence of e_1599. e_1534 is a consequence of e_1205. 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 e_989 is a consequence of e_1130. e_989 is a consequence of e_1599. e_989 is a consequence of e_1205. 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 1 term 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 2 terms 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 1 term e_1689 is a consequence of e_1130. e_1689 is a consequence of e_996. 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 1 term e_1612 is a consequence of e_1130. e_1612 is a consequence of e_996. 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 2 terms e_1625 is a consequence of e_1130. e_1625 is a consequence of e_996. e_1625 is a consequence of e_1205. 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 2 terms e_1610 is a consequence of e_1130. e_1610 is a consequence of e_996. e_1610 is a consequence of e_1205. 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 5 terms 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 6 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 : shortening by 1 term 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 4 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 : 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 1 term 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 4 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 4 terms 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 : shortening by 1 term 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 2 terms 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 2 terms e_1589 is a consequence of e_699 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 : shortening by 1 term e_1398 is a consequence of e_1472. e_1398 is a consequence of e_699. 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 : shortening by 1 term Step 1168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms 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 : shortening by 1 term 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 : shortening by 1 term Step 1180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 : shortening by 2 terms 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 : shortening by 2 terms Step 1184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 2 terms 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 : shortening by 1 term 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 2 terms 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 : shortening by 1 term 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 2 terms 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 2 terms 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 3 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 3 terms e_1450 is a consequence of e_169. 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 2 terms 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 3 terms 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 3 terms 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 : shortening by 3 terms 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 : shortening by 2 terms 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 5 terms 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 e_1718 is a consequence of e_1586. 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 3 terms 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 2 terms 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 : *** Garbage collection starting *** GC 708 4-Oct-2003 13:08:32, 60 ms (0%), 1298973 occupied, 23700973 free 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 : shortening by 1 term 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 e_1661 is a consequence of e_169. 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 : shortening by 1 term 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 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 2 terms 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 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 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 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 1 term 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 1 term 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 3 terms 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 4 terms 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 3 terms 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 : --- Algebraic length reduction of equations : shortening by 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 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 4 terms 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 2 terms 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 2 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term e_1478 is a consequence of e_1554. 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 1 term 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 e_639 is a consequence of e_1554. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term e_1554 is a consequence of e_1629 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 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 1 term e_1556 is a consequence of e_1695. 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 e_1425 is a consequence of e_1629. 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 2 terms e_1727 is a consequence of e_1586. 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 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 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 e_1736 is a consequence of e_699. 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 e_1738 is a consequence of e_699. 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1412 and e_1374. e_1374: 0=(2*q39 + q8)*p14 is replaced by e_1766: 0=p14*q8 e_1766 is a consequence of e_1586. 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1629 and e_1632. e_1632: 0=(q2 - q3)*p10 is replaced by e_1753: 0=p10*q3 e_1753 is a consequence of e_1700. 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1629 and e_1466. e_1466: 0=(q2 + q8)*p10 is replaced by e_1600: 0=p10*q8 e_1600 is a consequence of e_1472. 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 : *** Garbage collection starting *** GC 709 4-Oct-2003 13:08:36, 60 ms (0%), 1292007 occupied, 23707937 free --- Length reducing decoupling steps : Eliminate q8 from e_699 and e_671. e_671: 0=p8*(q2 + q8) is replaced by e_1688: 0=p8*q2 e_1391 is a consequence of e_1688 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 1 term e_1418 is a consequence of e_1688. 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 1 term e_1677 is a consequence of e_1688. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 e_832 is a consequence of e_1688. 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 1 term 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 1 term e_1662 is a consequence of e_1688. e_1662 is a consequence of e_1647. 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 e_1080 is a consequence of e_1688. e_1080 is a consequence of e_1647. 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 1 term 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 1 term e_572 is a consequence of e_1688. 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 1 term 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 3 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 3 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1757 and e_1099. e_1099: 0=(q2 - q3)*p14 is replaced by e_1354: 0=p14*q3 e_1354 is a consequence of e_929. 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1757 and e_350. e_350: 0=(q2 + q8)*p14 is replaced by e_1720: 0=p14*q8 e_1720 is a consequence of e_1586. 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 : --- Length reducing decoupling steps : Eliminate q3 from e_929 and e_1593. e_1593: 0=(q3 + q8)*p14 is replaced by e_1661: 0=p14*q8 e_1661 is a consequence of e_1586. 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 : --- Length reducing decoupling steps : Eliminate q45 from e_1699 and e_1364. e_1364: 0=(q45 + q48)*p1 is replaced by e_1419: 0=p1*q48 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 1 term e_1712 is a consequence of e_1419. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1419 and e_1628. e_1628: 0=(q48 - 3*q53)*p1 is replaced by e_1270: 0=p1*q53 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term e_1483 is a consequence of e_1270. 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1409 and e_879. e_879: 0=(4*q48 + 9*q53)*p3 is replaced by e_1601: 0=p3*q53 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 : --- Length reducing decoupling steps : Eliminate q40 from e_1698 and e_1655. e_1655: 0=(10*q40 + q44)*p10 is replaced by e_1098: 0=p10*q44 e_1098 is a consequence of e_1433. 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 : --- Length reducing decoupling steps : Eliminate q40 from e_1698 and e_1550. e_1550: 0=(5*q40 + q42)*p10 is replaced by e_1680: 0=p10*q42 e_1680 is a consequence of e_1643. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 710 4-Oct-2003 13:08:43, 50 ms (0%), 1298964 occupied, 23700983 free Eliminate q3 from e_1282 and e_1602. e_1602: 0=(q2 + q3 - q8)*p8 is replaced by e_858: 0=(q2 - q8)*p8 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1688 and e_858. e_858: 0=(q2 - q8)*p8 is replaced by e_1652: 0=p8*q8 e_1652 is a consequence of e_699. 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1614 and e_976. e_976: 0=(q29 - q55 - 2*q57)*p1 is replaced by e_1621: 0=(q29 - q55)*p1 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 : --- Length reducing decoupling steps : Eliminate q40 from e_1664 and e_1363. e_1363: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q44,q42,q40,p1) is replaced by e_1751: 0=(3*q42 + 4*q44)*p1 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 q44 from e_1751 and e_1666. e_1751: 0=(3*q42 + 4*q44)*p1 is replaced by e_1634: 0=p1*q42 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 : shortening by 1 term 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 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 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 : --- Length reducing decoupling steps : Eliminate q40 from e_644 and e_980. e_980: 0=(2*q40 + q42)*p3 is replaced by e_1308: 0=p3*q42 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1308 and e_1517. e_1517: 0=(q42 + 3*q44)*p3 is replaced by e_1719: 0=p3*q44 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1719 and e_1320. e_1320: 0=(q42 + q44)*p3 is replaced by e_916: 0=p3*q42 e_916 is a consequence of e_1308. 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1634 and e_1291. e_1291: 0=(3*q42 + q44)*p1 is replaced by e_1733: 0=p1*q44 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1733 and e_1666. e_1666: 0=(q42 + 3*q44)*p1 is replaced by e_1735: 0=p1*q42 e_1735 is a consequence of e_1634. 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1719 and e_1294. e_1294: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q44,q42,q40,p3) is replaced by e_1729: 0=(2*q40 - 3*q42)*p3 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1308 and e_1729. e_1729: 0=(2*q40 - 3*q42)*p3 is replaced by e_1684: 0=p3*q40 e_1684 is a consequence of e_644. 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1647 and e_1594. e_1594: 0=(q2 - q3)*(2*p4 - p8) is replaced by e_1697: 0=q3*(2*p4 - p8) 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 : --- Length reducing decoupling steps : Eliminate q3 from e_1697 and e_1474. e_1474: 0=(q3 + q8)*(2*p4 - p8) is replaced by e_1495: 0=q8*(2*p4 - p8) e_1495 is a consequence of e_863. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 711 4-Oct-2003 13:08:52, 60 ms (0%), 1290436 occupied, 23709508 free Eliminate q29 from e_1130 and e_1636. e_1636: 3 3 0=(12*p4 *q55 - p8 *q29)*p1 is replaced by e_1351: 0=p1*q55 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1351 and e_1621. e_1621: 0=(q29 - q55)*p1 is replaced by e_997: 0=p1*q29 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 e_1018 is a consequence of e_997. e_1018 is a consequence of e_1130. 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 : shortening by 1 term 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 2 terms 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 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 2 terms 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 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q8 from e_699 and e_1763. e_1763: 2 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q45,q8,p8 ,p7,p1,p4 ) is replaced by e_1638: 0=p7*q45 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 terms 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 q44 from e_1370 and e_1609. e_1609: 0=p3*q57 - p7*q44 + p7*q57 is replaced by e_1730: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q42,p7,p3) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 712 4-Oct-2003 13:09:00, 50 ms (0%), 1289034 occupied, 23710911 free Eliminate q48 from e_1657 and e_1678. e_1678: 4 terms, 8 factors, with derivatives of functions of all variables: (q48,q39,q36,q8,p7,p3,p1) is replaced by e_1607: 4 terms, 8 factors, with derivatives of functions of all variables: (q39,q36,q8,p7,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1130 and e_1743. e_1743: 4 terms, 20 factors, with derivatives of functions of all variables: 3 3 (q57,q55,q29,p8 ,p7,p3,p4 ) is replaced by e_1425: 0=(2*q55 + q57)*p3 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 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1006 and e_1439. e_1439: 8 terms, 16 factors, with derivatives of functions of all variables: (q53,q48,q39,q36,q2,p7,p3) is replaced by e_1727: 7 terms, 14 factors, with derivatives of functions of all variables: (q48,q39,q36,q2,p7,p3) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1130 and e_1356. e_1356: 6 terms, 30 factors, with derivatives of functions of all variables: 3 2 3 (q57,q42,q29,p8 ,p8 ,p7,p3,p4 ,p4) is replaced by e_1725: 0=(q42 + q57)*p7 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 q29 from e_1130 and e_1346. e_1346: 5 terms, 30 factors, with derivatives of functions of all variables: 4 4 (q55,q42,q29,p8 ,p7,p3,p4 ) is replaced by e_1676: 0=p3*q55 + p7*q42 - p7*q55 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1251 and e_1657. e_1657: 3 terms, 6 factors, with derivatives of functions of all variables: (q48,q39,q36,p7,p1) is replaced by e_1646: 3 terms, 6 factors, with derivatives of functions of all variables: (q48,q36,q8,p7,p1) 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 q57 from e_1425 and e_1247. e_1247: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q57,q55,q42,q29,p8 ,p7,p3,p4 ) is replaced by e_1769: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q55,q42,q29,p8 ,p7,p3,p4 ) 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 : shortening by 2 terms 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 : Eliminate q29 from e_1130 and e_465. e_465: 4 terms, 24 factors, with derivatives of functions of all variables: 4 3 4 (q55,q29,p8 ,p8 ,p7,p3,p4 ,p4) is replaced by e_1738: 0=p7*q55 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1644 and e_1289. e_1289: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q55,q42,q29,p8 ,p7,p3,p4 ) is replaced by e_1693: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q42,q29,p8 ,p7,p3,p4 ) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1130 and e_53. e_53: 5 terms, 30 factors, with derivatives of functions of all variables: 4 2 4 2 (q57,q44,q29,p8 ,p8 ,p7,p3,p4 ,p4 ) is replaced by e_847: 0=(5*q44 - 2*q57)*p7 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1130 and e_1685. e_1685: 4 terms, 24 factors, with derivatives of functions of all variables: 4 4 (q57,q55,q29,p8 ,p7,p3,p4 ) is replaced by e_1651: 0=p3*q55 - 3*p7*q57 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 : *** Garbage collection starting *** GC 713 4-Oct-2003 13:09:10, 60 ms (0%), 1286869 occupied, 23713078 free *** Garbage collection starting *** GC 714 4-Oct-2003 13:09:13, 60 ms (0%), 1287021 occupied, 23712926 free *** Garbage collection starting *** GC 715 4-Oct-2003 13:09:18, 60 ms (0%), 1288647 occupied, 23711300 free *** Garbage collection starting *** GC 716 4-Oct-2003 13:09:23, 50 ms (0%), 1289247 occupied, 23710700 free shortening by 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q57 from e_847 and e_1651. e_1651: 0=p3*q55 - 3*p7*q57 is replaced by e_671: 0=2*p3*q55 - 15*p7*q44 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1370 and e_671. e_671: 0=2*p3*q55 - 15*p7*q44 is replaced by e_1741: 0=2*p3*q55 + 5*p7*q42 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 717 4-Oct-2003 13:09:29, 60 ms (0%), 1291136 occupied, 23708811 free Eliminate q55 from e_1741 and e_1644. e_1741: 0=2*p3*q55 + 5*p7*q42 is replaced by e_1418: 0=p7*q42 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 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1677 and e_1425. e_1425: 0=(2*q55 + q57)*p3 is replaced by e_1524: 0=p3*q57 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1524 and e_1753. e_1753: 0=(2*q29 - q57)*p3 is replaced by e_1669: 0=p3*q29 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 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 : *** Garbage collection starting *** GC 718 4-Oct-2003 13:09:36, 50 ms (0%), 1290705 occupied, 23709242 free *** Garbage collection starting *** GC 719 4-Oct-2003 13:09:45, 60 ms (0%), 1292093 occupied, 23707854 free --- Length reducing decoupling steps : Eliminate q42 from e_1418 and e_1725. e_1725: 0=(q42 + q57)*p7 is replaced by e_1649: 0=p7*q57 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 q57 from e_1649 and e_1734. e_1734: 0=(q29 + 2*q57)*p7 is replaced by e_1662: 0=p7*q29 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 : Eliminate q57 from e_1649 and e_847. e_847: 0=(5*q44 - 2*q57)*p7 is replaced by e_1080: 0=p7*q44 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 : Eliminate q44 from e_1080 and e_1370. e_1370: 0=(q42 + 3*q44)*p7 is replaced by e_1604: 0=p7*q42 e_1604 is a consequence of e_1418. 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 : Eliminate q53 from e_1006 and e_1690. e_1690: 6 terms, 12 factors, with derivatives of functions of all variables: (q53,q48,q39,q36,p7,p3) is replaced by e_1749: 6 terms, 12 factors, with derivatives of functions of all variables: (q48,q39,q36,q2,p7,p3) 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 : --- Algebraic length reduction of equations : shortening by 4 terms 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 : *** Garbage collection starting *** GC 720 4-Oct-2003 13:09:57, 60 ms (0%), 1293687 occupied, 23706260 free --- Length reducing decoupling steps : Eliminate q53 from e_1006 and e_1726. e_1726: 5 terms, 10 factors, with derivatives of functions of all variables: (q53,q48,q36,q3,p7,p3,p1) is replaced by e_572: 0=p1*q3 - p3*q2 + p7*q3 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 : --- Factorization to subcases leading to substitutions : factorizing e_1627 we get the alternative equations : 0=p3 0=q58 New level : 1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1772 : 0=p3 e_1631,e_1376,e_1588,e_987,e_1271,e_1409,e_1601,e_644,e_1308,e_1719,e_1677, e_1524,e_1669 are consequences of e_1772 Step 1442: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0037*p1 e_801 is a consequence of e_1649. e_465 is a consequence of e_1662. e_1676 is a consequence of e_1270. e_1484 is a consequence of e_1639. e_271 is a consequence of e_1733. e_1769 is a consequence of e_1432. e_1650 is a consequence of e_1767. e_1552 is a consequence of e_1767. e_1612 is a consequence of e_1432. Substitution of p3 found in e_1772 : p3=0 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 : *** Garbage collection starting *** GC 721 4-Oct-2003 13:10:05, 50 ms (0%), 1292177 occupied, 23707770 free --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : Eliminate q36 from e_1730 and e_1269. e_1269: 0=(q3 + 2*q36)*p1 is replaced by e_1739: 0=p1*q3 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 : Eliminate q39 from e_1452 and e_53. e_53: 0=(q2 + q39)*p7 is replaced by e_1342: 0=p7*q2 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 q39 from e_1452 and e_1251. e_1251: 0=(5*q39 + q8)*p7 is replaced by e_1737: 0=p7*q8 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 : Eliminate q8 from e_1737 and e_1425. e_1425: 0=(5*q48 - 2*q8)*p7 is replaced by e_1764: 0=p7*q48 Step 1450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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 q48 from e_1764 and e_1685. e_1685: 0=(q48 + 2*q53)*p7 is replaced by e_1278: 0=p7*q53 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1278 and e_1489. e_1489: 0=(q3 + q36 - 3*q53)*p7 is replaced by e_1604: 0=(q3 + q36)*p7 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 q48 from e_1764 and e_1375. e_1375: 0=(2*q36 + 4*q39 - q48)*p7 is replaced by e_1748: 0=(q36 + 2*q39)*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 : --- Length reducing decoupling steps : Eliminate q39 from e_1452 and e_1748. e_1748: 0=(q36 + 2*q39)*p7 is replaced by e_1625: 0=p7*q36 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1625 and e_1604. e_1604: 0=(q3 + q36)*p7 is replaced by e_1389: 0=p7*q3 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1453 we get the alternative equations : 0=p14 0=q57 New level : 1.1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1523 : 0=p14 e_1288,e_1344,e_1337,e_1599,e_1366,e_1615,e_1586,e_1221,e_1516,e_1249,e_1382, e_1412,e_1668,e_929,e_1757,e_1718 are consequences of e_1523 Step 1456: Hot list of urgent steps : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p14,p10,p8,p7,p1,p4 New ordering: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p14,p8,p7,p1,p10,p4 e_1393 is a consequence of e_1617.e_1351,e_1738 are consequences of e_1393 e_1548 is a consequence of e_606.e_1476,e_1402,e_1614,e_1649 are consequences of e_1548 *** Garbage collection starting *** GC 722 4-Oct-2003 13:10:11, 50 ms (0%), 1285667 occupied, 23714279 free e_1448 is a consequence of e_1463 Substitution of p14 found in e_1523 : p14=0 Step 1457: Hot list 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 19 terms Substitution of q29 found in e_996 : q29=0 Step 1458: Hot list 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 Substitution of q59 found in e_1369 : q59=0 Step 1459: Hot list 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 q52 found in e_1414 : q52=0 Step 1460: Hot list 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 q53 found in e_1603 : q53=0 Step 1461: Hot list 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 Substitution of q42 found in e_1643 : q42=0 Step 1462: Hot list 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 Substitution of q44 found in e_1433 : q44=0 Step 1463: Hot list 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_1698 : q40=0 Step 1464: Hot list 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 18 terms Substitution of q6 found in e_1618 : q6=0 Step 1465: Hot list 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 Substitution of q45 found in e_1637 : q45=0 Step 1466: Hot list 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 q48 found in e_866 : q48=0 Step 1467: Hot list 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 6 terms Substitution of q57 found in e_606 : q57=0 Step 1468: Hot list 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 5 terms Substitution of q55 found in e_1617 : q55=0 Step 1469: Hot list 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 13 terms Substitution of q8 found in e_1472 : q8=0 Step 1470: Hot list 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 Substitution of q39 found in e_1208 : q39=0 Step 1471: Hot list 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 Substitution of q3 found in e_1700 : q3=0 Step 1472: Hot list 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 p7 q37 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q58,q37,q36,q2,p8,p7,p1,p10,p4 New ordering: q58,q37,q36,q2,p8,p1,p7,p10,p4 The lexicographical ordering of unknowns is changed because q37 has to be non-zero, giving q37 a low priority. Old ordering: q58,q37,q36,q2,p8,p1,p7,p10,p4 New ordering: q58,q36,q2,q37,p8,p1,p7,p10,p4 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: q58,q36,q2,q37,p8,p1,p7,p10,p4 New ordering: q58,q36,q2,q37,p1,p8,p7,p10,p4 The list of inequalities got extended by: An expression with 9 terms Substitution of q2 found in e_1629 : q2=0 Step 1473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q37=0 because of the non-vanishing expression: q37 The list of inequalities got extended by: An expression with 5 terms p4 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: q58,q36,q37,p1,p8,p7,p10,p4 New ordering: q58,q36,q37,p1,p7,p10,p8,p4 Time: 0 ms Time: 0 ms Time: 40 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: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p14,p10,p8,p7,p1,p4 New ordering: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p10,p8,p7,p1,p14,p4 New level : 1.1.1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1523 : 0=q57 e_1476,e_1402,e_1434,e_606,e_1614,e_1649 are consequences of e_1523 Step 1474: 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 14 terms Substitution of q57 found in e_1523 : q57=0 Step 1475: Hot list 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 q59 found in e_1288 : q59=0 Step 1476: Hot list 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 q52 found in e_1344 : q52=0 Step 1477: Hot list 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 11 terms Substitution of q36 found in e_1337 : q36=0 Step 1478: Hot list 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 18 terms Substitution of q29 found in e_1599 : q29=0 Step 1479: Hot list 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 Substitution of q42 found in e_1366 : q42=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 17 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q6 found in e_1615 : q6=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 14 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q8 found in e_1586 : q8=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 9 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q55 found in e_1221 : q55=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 8 terms Substitution of q44 found in e_1516 : q44=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 7 terms Substitution of q40 found in e_1249 : q40=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 6 terms Substitution of q45 found in e_1382 : q45=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 12 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q39 found in e_1412 : q39=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 4 terms Substitution of q48 found in e_1668 : q48=0 Step 1488: Hot list 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 5 terms Substitution of q3 found in e_929 : q3=0 Step 1489: Hot list 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 3 terms p7 q37 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q58,q53,q37,q2,p10,p8,p7,p1,p14,p4 New ordering: q58,q53,q37,q2,p10,p8,p1,p7,p14,p4 The lexicographical ordering of unknowns is changed because q37 has to be non-zero, giving q37 a low priority. Old ordering: q58,q53,q37,q2,p10,p8,p1,p7,p14,p4 New ordering: q58,q53,q2,q37,p10,p8,p1,p7,p14,p4 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: q58,q53,q2,q37,p10,p8,p1,p7,p14,p4 New ordering: q58,q53,q2,q37,p10,p1,p8,p7,p14,p4 Substitution of q2 found in e_1757 : q2=0 Step 1490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q37=0 because of the non-vanishing expression: q37 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: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p14,p10,p8,p7,p3,p1,p4 New ordering: q59,q58,q57,q55,q53,q52,q48,q45,q44,q42,q40,q39,q37,q36,q29,q8,q6, q3,q2,p14,p10,p8,p7,p1,p3,p4 New level : 1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1772 : 0=q58 e_1326,e_1448,e_914,e_1565,e_1641,e_1339,e_1255,e_1477,e_1767,e_1639 are consequences of e_1772 Step 1491: Hot list of urgent steps : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q58 found in e_1772 : q58=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 12 terms Substitution of q59 found in e_1631 : q59=0 Step 1493: Hot list 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 Substitution of q52 found in e_1376 : q52=0 Step 1494: Hot list 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 22 terms Substitution of q6 found in e_1588 : q6=0 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 10 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 18 terms Substitution of q37 found in e_987 : q37=0 Step 1496: Hot list 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 q45 found in e_1271 : q45=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 8 terms Substitution of q48 found in e_1409 : q48=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 7 terms Substitution of q53 found in e_1601 : q53=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 6 terms Substitution of q40 found in e_644 : q40=0 Step 1500: Hot list 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 q42 found in e_1308 : q42=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 4 terms Substitution of q44 found in e_1719 : q44=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 17 terms The list of inequalities got extended by: g0073*q57 + g0091*q39 + g0094*q36 Substitution of q55 found in e_1677 : q55=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 16 terms The list of inequalities got extended by: g0091*q39 + g0094*q36 Substitution of q57 found in e_1524 : q57=0 Step 1504: Hot list 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 11 terms Substitution of q29 found in e_1669 : q29=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: g0091*q39 + g0094*q2 The list of inequalities got extended by: An expression with 11 terms e_1721 is a consequence of e_1629. e_1244 is a consequence of e_1757. Substitution of q36 by an expression in q2 found in e_1632 : q36=q2 Step 1506: Hot list of 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 3 terms The list of inequalities got extended by: An expression with 14 terms e_1757 is a consequence of e_929. e_1688 is a consequence of e_1282. e_1629 is a consequence of e_1700. e_1753 is a consequence of e_1697. Substitution of q2 by an expression in q3, p7, p1, p3 found in e_572 : p1*q3 + p7*q3 q2=--------------- p3 Step 1507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_637 and e_1466. e_1466: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q39,q3,p7 ,p7,p1,p3 ,p3) is replaced by e_1342: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 2 2 (q3,p7 ,p7,p1 ,p1,p3 ) Step 1508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1758 we get the alternative equations : 0=q39 0=p1 New level : 1.1.1.1.1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_1278 : 0=q39 e_1694,e_1208,e_1412 are consequences of e_1278 Step 1509: Hot list of urgent steps : The list of inequalities got extended by: p1 + p7 q3 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: q39,q8,q3,p14,p10,p8,p7,p1,p3,p4 New ordering: q39,q8,q3,p14,p10,p7,p1,p8,p3,p4 The list of inequalities got extended by: An expression with 13 terms e_1370 is a consequence of e_699. 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: q39,q8,q3,p14,p10,p7,p1,p8,p3,p4 New ordering: q39,q8,q3,p14,p10,p1,p7,p8,p3,p4 e_1597 is a consequence of e_1690 Substitution of q39 found in e_1278 : q39=0 leads to a contradiction in : 12 factors in 4 terms Time: 0 ms Time: 0 ms Time: 10 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: q39,q8,q3,p14,p10,p8,p7,p1,p3,p4 New ordering: q39,q8,q3,p14,p10,p8,p1,p7,p3,p4 The list of inequalities got extended by: q39 The lexicographical ordering of unknowns is changed because q39 has to be non-zero, giving q39 a low priority. Old ordering: q39,q8,q3,p14,p10,p8,p1,p7,p3,p4 New ordering: q8,q3,q39,p14,p10,p8,p1,p7,p3,p4 The list of inequalities got extended by: q8 The lexicographical ordering of unknowns is changed because q8 has to be non-zero, giving q8 a low priority. Old ordering: q8,q3,q39,p14,p10,p8,p1,p7,p3,p4 New ordering: q3,q8,q39,p14,p10,p8,p1,p7,p3,p4 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: q3,q8,q39,p14,p10,p8,p1,p7,p3,p4 New ordering: q3,q8,q39,p14,p10,p1,p8,p7,p3,p4 New level : 1.1.1.1.1.1.1.1.1.2.2.2. CRACK is now called with the new equation e_1278 : 0=p1 e_1278 is a consequence of e_1597. 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 1510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q3,q8,q39,p14,p10,p1,p8,p7,p3,p4 New ordering: q3,q8,q39,p14,p1,p10,p8,p7,p3,p4 The list of inequalities got extended by: An expression with 13 terms Substitution of p14 found in e_1586 : p14=0 Step 1511: 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 4 terms p4 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: q3,q8,q39,p1,p10,p8,p7,p3,p4 New ordering: q3,q8,q39,p1,p10,p7,p3,p8,p4 The list of inequalities got extended by: An expression with 8 terms 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: 120 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: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p16,p14,p10,p8,p7,p4,p3,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p14,p10,p8,p7,p4,p3,p1,p16 New level : 1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1602 : 0=q17 e_1398 is a consequence of e_1602 Step 1512: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms e_1603 is a consequence of e_932. e_1612 is a consequence of e_914. e_1615 is a consequence of e_989. Substitution of q17 found in e_1602 : q17=0 Step 1513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 723 4-Oct-2003 13:10:17, 60 ms (0%), 1314342 occupied, 23685602 free The list of inequalities got extended by: An expression with 31 terms Substitution of q27 found in e_517 : q27=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 30 terms Substitution of q12 found in e_830 : q12=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 27 terms The list of inequalities got extended by: An expression with 29 terms e_1547 is a consequence of e_932. e_1646 is a consequence of e_932. Substitution of q29 found in e_897 : q29=0 Step 1516: Hot list 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 28 terms e_1649 is a consequence of e_932. e_1434 is a consequence of e_1270. e_1322 is a consequence of e_1356. e_1647 is a consequence of e_932. Substitution of q31 found in e_989 : q31=0 Step 1517: Hot list 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 27 terms e_1326 is a consequence of e_932. Substitution of q32 found in e_1270 : q32=0 Step 1518: Hot list 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 26 terms e_987 is a consequence of e_1356. e_1543 is a consequence of e_1298. Substitution of q30 found in e_914 : q30=0 Step 1519: Hot list 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 25 terms e_936 is a consequence of e_1298. Substitution of q28 found in e_1289 : q28=0 Step 1520: Hot list 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 22 terms Substitution of q57 found in e_1298 : q57=0 Step 1521: Hot list 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 Substitution of q14 found in e_932 : q14=0 Step 1522: Hot list 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 23 terms e_851 is a consequence of e_980. Substitution of q1 found in e_842 : q1=0 Step 1523: Hot list 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_1554 is a consequence of e_1029. Substitution of q15 found in e_1356 : q15=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 21 terms Substitution of q26 found in e_980 : q26=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 24 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q35 found in e_1364 : q35=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 23 terms The list of inequalities got extended by: An expression with 19 terms e_1348 is a consequence of e_1433. e_1495 is a consequence of e_868. e_903 is a consequence of e_1040. e_1383 is a consequence of e_1418. Substitution of q55 found in e_1029 : q55=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 20 terms The list of inequalities got extended by: An expression with 18 terms e_1555 is a consequence of e_1389. Substitution of q4 found in e_868 : q4=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 23 terms Substitution of q40 by an expression in q13 found in e_1363 : q40=q13 Step 1529: Hot list of 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 724 4-Oct-2003 13:10:21, 90 ms (0%), 1331930 occupied, 23668009 free The list of inequalities got extended by: An expression with 23 terms e_1658 is a consequence of e_1352. e_1659 is a consequence of e_686. Substitution of q59 by an expression in q33 found in e_11 : q59=q33 Step 1530: Hot list of 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 23 terms e_671 is a consequence of e_1433. e_1391 is a consequence of e_1433. e_1282 is a consequence of e_1433.e_1337 is a consequence of e_1358 Substitution of q13 by an expression in q11 found in e_1366 : q13= - q11 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 17 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q36 found in e_1358 : q36=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 19 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q3 found in e_1351 : q3=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 22 terms e_523 is a consequence of e_1433.e_1371,e_1433,e_1603 are consequences of e_1552 e_1643 is a consequence of e_1294. Substitution of q44 by an expression in q11 found in e_1463 : q44=8*q11 Step 1534: Hot list 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 e_1409 is a consequence of e_1294 e_1642 is a consequence of e_1294. e_1510 is a consequence of e_1294. e_1040 is a consequence of e_1294. e_1476 is a consequence of e_1294. e_1399 is a consequence of e_1294. e_1018 is a consequence of e_1294. e_1453 is a consequence of e_1294. e_1388 is a consequence of e_1294. e_1612 is a consequence of e_1657. e_1516 is a consequence of e_1294. e_1641 is a consequence of e_1294. e_53 is a consequence of e_1294.e_1340 is a consequence of e_1455 e_1630 is a consequence of e_1294. e_514 is a consequence of e_644. e_1387 is a consequence of e_1553. e_1602 is a consequence of e_1294. e_637 is a consequence of e_1294. Substitution of q11 found in e_1552 : q11=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 19 terms Substitution of q42 found in e_1294 : q42=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 15 terms The list of inequalities got extended by: An expression with 18 terms Substitution of q39 found in e_1565 : q39=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 16 terms The list of inequalities got extended by: An expression with 14 terms e_1380 is a consequence of e_1208. Substitution of q5 found in e_1339 : q5=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 15 terms The list of inequalities got extended by: An expression with 13 terms e_863 is a consequence of e_350 e_834 is a consequence of e_350. e_1447 is a consequence of e_350. e_1374 is a consequence of e_1523. e_1599 is a consequence of e_1455. e_1596 is a consequence of e_1455. Substitution of q10 found in e_1208 : q10=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 14 terms The list of inequalities got extended by: An expression with 12 terms e_851 is a consequence of e_1523. e_1597 is a consequence of e_1363. e_1111 is a consequence of e_1313. e_1644 is a consequence of e_1368. *** Garbage collection starting *** GC 725 4-Oct-2003 13:10:25, 60 ms (0%), 1339510 occupied, 23660431 free Substitution of q8 found in e_350 : q8=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 13 terms The list of inequalities got extended by: An expression with 11 terms e_868 is a consequence of e_1356. Substitution of q7 found in e_1523 : q7=0 Step 1541: Hot list 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 10 terms e_584 is a consequence of e_1258. e_1271 is a consequence of e_1258. e_1548 is a consequence of e_1398. e_516 is a consequence of e_1006. e_1382 is a consequence of e_1402. e_1648 is a consequence of e_1390. e_1588 is a consequence of e_1395. Substitution of q2 found in e_916 : q2=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 18 terms e_1598 is a consequence of e_1595.e_1154 is a consequence of e_11 Substitution of q45 by an expression in q16 found in e_1455 : q45=q16 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 18 terms e_1326 is a consequence of e_1568. e_1270 is a consequence of e_1190. e_671 is a consequence of e_1331. e_1282 is a consequence of e_1443. Substitution of q52 by an expression in q25 found in e_11 : q52=q25 Step 1544: Hot list of 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 e_1544 is a consequence of e_502. e_1603 is a consequence of e_1400. e_1371 is a consequence of e_832. e_1643 is a consequence of e_1461. Substitution of q49 by an expression in q20 found in e_1527 : q49=q20 Step 1545: Hot list of 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 Substitution of q21 by an expression in q19, q18 found in e_1615 : 7 factors in 3 terms Step 1546: Hot list of 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_932 is a consequence of e_1595. e_1291 is a consequence of e_1363. Substitution of q48 by an expression in q19, q16 found in e_1251 : q48=8*q16 + q19 Step 1547: Hot list of 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 The list of inequalities got extended by: An expression with 19 terms Substitution of q19 by an expression in q18, q16 found in e_1458 : 7 factors in 3 terms Step 1548: Hot list 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 18 terms e_1595,e_1363,e_1662 are consequences of e_1164 e_1601 is a consequence of e_1164. e_23 is a consequence of e_1164. e_1550 is a consequence of e_1164. e_1478 is a consequence of e_1164. e_1448 is a consequence of e_1164. e_1460 is a consequence of e_1164. e_914 is a consequence of e_1164. e_1589 is a consequence of e_1164. e_1298 is a consequence of e_1164. e_1361 is a consequence of e_1164. e_1663 is a consequence of e_1164. e_1664 is a consequence of e_1164. *** Garbage collection starting *** GC 726 4-Oct-2003 13:10:29, 80 ms (0%), 1334020 occupied, 23665918 free Substitution of q18 by an expression in q16 found in e_801 : 7 q18= - ----*q16 18 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 8 terms The list of inequalities got extended by: An expression with 16 terms e_1495 is a consequence of e_1348. e_1581 is a consequence of e_1348. e_1255 is a consequence of e_1593. e_1375 is a consequence of e_1348.e_1289 is a consequence of e_1555 e_1635 is a consequence of e_1348. e_1466 is a consequence of e_1398. e_1220 is a consequence of e_1398. e_1516 is a consequence of e_1247. e_1633 is a consequence of e_830. e_1542 is a consequence of e_1434.e_1406,e_1391,e_1331,e_1190,e_147,e_1566, e_1568,e_1278,e_1443 are consequences of e_1645 e_936 is a consequence of e_1555. e_1320 is a consequence of e_1555. e_1646 is a consequence of e_1434. e_1640 is a consequence of e_1645. e_1244 is a consequence of e_1398. e_1632 is a consequence of e_830. e_1666 is a consequence of e_1555. Substitution of q16 found in e_1164 : q16=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 7 terms e_1593,e_53 are consequences of e_1555 e_909 is a consequence of e_1398. e_1641 is a consequence of e_1554. e_1340 is a consequence of e_1364. e_1665 is a consequence of e_1555. Substitution of q23 found in e_1348 : q23=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 15 terms The list of inequalities got extended by: An expression with 6 terms e_1616 is a consequence of e_1555. Substitution of q25 found in e_1645 : q25=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 14 terms Substitution of q53 found in e_1555 : q53=0 Step 1553: Hot list of 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 6 terms The list of inequalities got extended by: An expression with 10 terms e_1714 is a consequence of e_1447. e_1721 is a consequence of e_487. e_1722 is a consequence of e_1345. Substitution of q9 by an expression in q41, p7, p16 found in e_853 : p7*q41 q9=-------- p16 Step 1554: Hot list of 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 6 terms e_11 is a consequence of e_1447. e_1603 is a consequence of e_487. e_1371 is a consequence of e_1345. e_1643 is a consequence of e_1337. Substitution of q22 by an expression in q41, p3, p16 found in e_818 : p3*q41 q22=-------- p16 Step 1555: Hot list of 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 e_1299 is a consequence of e_1433. e_1478 is a consequence of e_1433. e_1448 is a consequence of e_858. e_1448 is a consequence of e_1433. e_1460 is a consequence of e_1433. e_1460 is a consequence of e_832. e_914 is a consequence of e_1433. e_914 is a consequence of e_1461. e_1589 is a consequence of e_1433. e_1589 is a consequence of e_1463. e_1298 is a consequence of e_1433. Substitution of q54 by an expression in q20, p10, p16 found in e_1500 : 1 ---*p10*q20 2 q54=------------- p16 Step 1556: Hot list of 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 6 terms The list of inequalities got extended by: An expression with 10 terms e_863 is a consequence of e_1447. e_48 is a consequence of e_1345. Substitution of q6 by an expression in q41, p8, p16 found in e_487 : p8*q41 q6=-------- p16 Step 1557: Hot list of 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 The list of inequalities got extended by: An expression with 10 terms e_834 is a consequence of e_1447. Substitution of q38 by an expression in q41, p14, p16 found in e_1345 : p14*q41 q38=--------- p16 Step 1558: Hot list of 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 727 4-Oct-2003 13:10:33, 60 ms (0%), 1333366 occupied, 23666576 free The list of inequalities got extended by: An expression with 15 terms e_1653 is a consequence of e_1495. e_1559 is a consequence of e_1720. Substitution of q50 by an expression in q41, q24, p4, p16 found in e_1415 : 8 factors in 3 terms Step 1559: Hot list of 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 Substitution of q51 by an expression in q43, q41, p4, p16 found in e_1498 : 8 factors in 3 terms Step 1560: Hot list of 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 7 terms The list of inequalities got extended by: An expression with 15 terms e_1696 is a consequence of e_832. e_1697 is a consequence of e_502. e_1698 is a consequence of e_858. e_1495 is a consequence of e_1400. e_1699 is a consequence of e_1461. e_1701 is a consequence of e_858. e_1703 is a consequence of e_1433. e_1705 is a consequence of e_858. e_1706 is a consequence of e_1704. Substitution of q24 by an expression in q41, q20, p4, p16 found in e_1012 : 8 factors in 3 terms Step 1561: Hot list of 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 e_1338 is a consequence of e_502. e_1729 is a consequence of e_858. e_1730 is a consequence of e_1461. e_1707 is a consequence of e_858. Substitution of q46 by an expression in q41, q20, p10, p16 found in e_21 : 8 factors in 3 terms Step 1562: Hot list of 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 The list of inequalities got extended by: An expression with 24 terms Substitution of q20 by an expression in q47, q41, p10, p4, p16 found in e_1499 : 14 factors in 4 terms Step 1563: Hot list of 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 27 terms Substitution of q34 by an expression in q56, q43, q41, p8, p4, p16 found in e_1357 : 12 factors in 5 terms Step 1564: Hot list of 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 728 4-Oct-2003 13:10:37, 90 ms (0%), 1350710 occupied, 23649231 free --- Algebraic length reduction of equations : shortening by 1 term Step 1565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_1282. Step 1576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1615 is a consequence of e_1282. Step 1578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_932 is a consequence of e_1282. Step 1579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1299 is a consequence of e_1247. Step 1591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1478 is a consequence of e_1604. Step 1592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1448 is a consequence of e_1604. Step 1593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_48 is a consequence of e_1604. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_487 is a consequence of e_1460. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_801 is a consequence of e_1460. 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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_1164 is a consequence of e_851. 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 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 2 terms e_1555 is a consequence of e_1719. 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 e_1680 is a consequence of e_1604. 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 e_1681 is a consequence of e_1604. 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_1682 is a consequence of e_1604. 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 e_1683 is a consequence of e_1368. 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 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 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 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 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 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 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 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 2 terms e_1706 is a consequence of e_1719. 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 2 terms 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 2 terms 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 2 terms e_1490 is a consequence of e_1713. 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 2 terms 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 2 terms e_1729 is a consequence of e_853. 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 2 terms 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 2 terms e_1733 is a consequence of e_1727. 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 e_1710 is a consequence of e_1727. 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 2 terms e_1708 is a consequence of e_1727. 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 2 terms e_1731 is a consequence of e_1727. 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 2 terms e_1208 is a consequence of e_1727. 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 2 terms e_11 is a consequence of e_1727. 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 2 terms e_1603 is a consequence of e_1338. 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 2 terms 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 2 terms 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 e_1689 is a consequence of e_1374. 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 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1337 and e_523. e_523: 0=(4*q41 - q43)*p3 is replaced by e_1692: 0=p3*q43 e_1338,e_916 are consequences of e_1692 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 : shortening by 1 term e_1592 is a consequence of e_1727. 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 : shortening by 1 term e_1591 is a consequence of e_1727. 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 : shortening by 1 term e_1370 is a consequence of e_1012. 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 : shortening by 1 term e_1322 is a consequence of e_1727. 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 : shortening by 1 term e_1275 is a consequence of e_1727. 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 729 4-Oct-2003 13:10:40, 60 ms (0%), 1339208 occupied, 23660735 free shortening by 2 terms 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 : shortening by 2 terms e_1448 is a consequence of e_1478. 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 : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 2 terms e_863 is a consequence of e_1478. 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 : shortening by 1 term 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 : shortening by 1 term e_1431 is a consequence of e_1624. 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 : shortening by 2 terms e_801 is a consequence of e_1713. 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 : shortening by 2 terms e_1449 is a consequence of e_1713. 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 : shortening by 1 term 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 : shortening by 2 terms 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 : shortening by 1 term 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 : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 2 terms e_1458 is a consequence of e_1326. 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 : shortening by 1 term 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 : shortening by 1 term 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 : Eliminate q43 from e_1692 and e_1383. e_1383: 0=(2*q41 + q43)*p3 is replaced by e_1395: 0=p3*q41 e_1395 is a consequence of e_1337. Step 1709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1692 and e_987. e_987: 0=(q41 + q43)*p3 is replaced by e_1164: 0=p3*q41 e_1164 is a consequence of e_1337. 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 : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1692 and e_1553. e_1553: 0=(q43 + 2*q47)*p3 is replaced by e_936: 0=p3*q47 e_1727 is a consequence of e_936 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1447 and e_1612. e_1612: 0=(3*q41 + q43)*p1 is replaced by e_1666: 0=p1*q43 e_1666 is a consequence of e_1247. 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1447 and e_1029. e_1029: 0=(q41 + q43)*p1 is replaced by e_1632: 0=p1*q43 e_1632 is a consequence of e_1247. 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 : --- Length reducing decoupling steps : Eliminate q56 from e_897 and e_1402. e_1402: 0=(q41 + q56)*p7 is replaced by e_1244: 0=p7*q41 e_1478,e_1434 are consequences of e_1244 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 e_1363 is a consequence of e_21. 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 1 term e_1595 is a consequence of e_21. 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1244 and e_1719. e_1719: 0=(4*q41 - q43)*p7 is replaced by e_1601: 0=p7*q43 e_1299 is a consequence of e_1601 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1601 and e_997. e_997: 0=(q43 + q58)*p7 is replaced by e_1599: 0=p7*q58 e_1599 is a consequence of e_1393. 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1601 and e_1342. e_1342: 0=(q43 - q56)*p7 is replaced by e_1357: 0=p7*q56 e_1357 is a consequence of e_897. 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1244 and e_1718. e_1718: 0=(3*q41 - q47)*p7 is replaced by e_1646: 0=p7*q47 e_1555,e_1326 are consequences of e_1646 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1646 and e_1650. e_1650: 0=(2*q47 - q58)*p7 is replaced by e_879: 0=p7*q58 e_879 is a consequence of e_1393. 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1396 and e_271. e_271: 0=(2*q56 + q58)*p3 is replaced by e_1665: 0=p3*q56 e_1665 is a consequence of e_1258. 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1396 and e_644. e_644: 0=(q56 + q58)*p3 is replaced by e_637: 0=p3*q56 e_637 is a consequence of e_1258. 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 : --- Length reducing decoupling steps : Eliminate q56 from e_1368 and e_1372. e_1372: 0=(3*q56 + 2*q58)*p1 is replaced by e_1348: 0=p1*q58 e_1348 is a consequence of e_1313. 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 : --- Length reducing decoupling steps : Eliminate q56 from e_1368 and e_1517. e_1517: 0=(3*q56 + q58)*p1 is replaced by e_1616: 0=p1*q58 e_1616 is a consequence of e_1313. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 730 4-Oct-2003 13:10:44, 80 ms (0%), 1341557 occupied, 23658386 free Eliminate q43 from e_1601 and e_1386. e_1386: 0=(2*q41 + q43 - q56)*p7 is replaced by e_1645: 0=(2*q41 - q56)*p7 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1244 and e_1645. e_1645: 0=(2*q41 - q56)*p7 is replaced by e_1282: 0=p7*q56 e_1282 is a consequence of e_897. 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 : --- Length reducing decoupling steps : Eliminate q47 from e_936 and e_1543. e_1543: 0=(q41 + 2*q43 + 2*q47)*p3 is replaced by e_1647: 0=(q41 + 2*q43)*p3 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1692 and e_1647. e_1647: 0=(q41 + 2*q43)*p3 is replaced by e_1652: 0=p3*q41 e_1652 is a consequence of e_1337. 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 : --- Length reducing decoupling steps : Eliminate q41 from e_1447 and e_324. e_324: 0=(q41 + 4*q43 + 6*q47)*p1 is replaced by e_1271: 0=(2*q43 + 3*q47)*p1 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1247 and e_1271. e_1271: 0=(2*q43 + 3*q47)*p1 is replaced by e_1588: 0=p1*q47 e_1588 is a consequence of e_1604. 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1695 and e_23. e_1695: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q47,q41,p10,p4 ,p4) is replaced by e_516: 0=p4*q41 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 2 terms e_1498 is a consequence of e_834. 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 2 terms 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 2 terms 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 3 terms 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 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 2 terms 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 2 terms 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 0 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 731 4-Oct-2003 13:10:48, 60 ms (0%), 1337046 occupied, 23662898 free Eliminate q58 from e_1424 and e_1556. e_1556: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q58,q56,q47,q43,q41,p7) is replaced by e_1566: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q47,q43,q41,p7) 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1646 and e_1566. e_1566: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q47,q43,q41,p7) is replaced by e_1542: 0=(q41 + q43)*p7 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1601 and e_1542. e_1542: 0=(q41 + q43)*p7 is replaced by e_1208: 0=p7*q41 e_1208 is a consequence of e_1244. 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1483 and e_1509. e_1509: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q58,q56,q47,q43,q41,p7) is replaced by e_1466: 0=(q41 + 4*q43 + 6*q47)*p7 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1646 and e_1466. e_1466: 0=(q41 + 4*q43 + 6*q47)*p7 is replaced by e_1698: 0=(q41 + 4*q43)*p7 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1601 and e_1698. e_1698: 0=(q41 + 4*q43)*p7 is replaced by e_1697: 0=p7*q41 e_1697 is a consequence of e_1244. 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1735 and e_1732. e_1732: 7 terms, 21 factors, with derivatives of functions of all variables: (q56,q47,q43,p14,p10,p8,p4) is replaced by e_1388: 7 terms, 21 factors, with derivatives of functions of all variables: (q56,q43,q41,q37,p14,p10,p8,p4,p16) 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 732 4-Oct-2003 13:10:55, 60 ms (0%), 1327295 occupied, 23672649 free factorizing e_936 we get the alternative equations : 0=p3 0=q47 New level : 1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_21 : 0=p3 e_1660,e_1258,e_1398,e_1396,e_1337,e_1692 are consequences of e_21 Step 1764: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: g0033*p7 + g0037*p1 e_851 is a consequence of e_1604. e_997 is a consequence of e_1604. e_1599 is a consequence of e_830. e_1342 is a consequence of e_1313. e_1357 is a consequence of e_1393. e_1718 is a consequence of e_1547. e_1326 is a consequence of e_897. e_1294 is a consequence of e_1555. e_1650 is a consequence of e_1555. e_879 is a consequence of e_1555. e_271 is a consequence of e_1390. e_1665 is a consequence of e_1006. Substitution of p3 found in e_21 : p3=0 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1646 we get the alternative equations : 0=p7 0=q47 New level : 1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1543 : 0=p7 e_1483,e_1424,e_686,e_1393,e_897,e_1547,e_1244,e_1601 are consequences of e_1543 Step 1766: 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 8 terms The list of inequalities got extended by: p1 e_868 is a consequence of e_1313.e_1006,e_644 are consequences of e_868 e_1651 is a consequence of e_830. e_1647 is a consequence of e_1368. Substitution of p7 found in e_1543 : p7=0 Step 1767: Hot list 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 4 terms e_1695 is a consequence of e_1247. e_1648 is a consequence of e_1368. e_1361 is a consequence of e_1247. e_1680 is a consequence of e_1313. Substitution of q47 found in e_1604 : q47=0 Step 1768: Hot list 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 17 terms Substitution of q58 found in e_1313 : q58=0 Step 1769: Hot list 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 14 terms e_1681 is a consequence of e_1247. e_1460 is a consequence of e_1247. e_1563 is a consequence of e_1247. e_1683 is a consequence of e_1247. Substitution of q56 found in e_1368 : q56=0 Step 1770: Hot list 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 11 terms e_1635 is a consequence of e_830. e_1663 is a consequence of e_1550. Substitution of q43 found in e_1247 : q43=0 Step 1771: Hot list 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 10 terms e_1530 is a consequence of e_1447. e_1550 is a consequence of e_1447. Substitution of q37 found in e_830 : q37=0 Step 1772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q33 The list of inequalities got extended by: g0029*p14 + g0030*p8 Substitution of q41 found in e_1447 : q41=0 Step 1773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q33,p14,p10,p8,p4,p1,p16 New ordering: q33,p10,p8,p4,p14,p1,p16 Substitution of p8 found in e_886 : p8=0 Step 1774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p4 found in e_1354 : p4=0 Step 1775: 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: g0097*p16 + g0103*p10 Time: 0 ms Time: 0 ms Time: 30 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: q58,q56,q47,q43,q41,q37,q33,p14,p10,p8,p7,p4,p1,p16 New ordering: q58,q56,q47,q43,q41,q37,q33,p14,p10,p8,p4,p1,p7,p16 New level : 1.1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1543 : 0=q47 e_1495,e_1701,e_834,e_1694,e_1712,e_1527,e_1604 are consequences of e_1543 Step 1776: 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 e_1651 is a consequence of e_1601. e_1647 is a consequence of e_897. e_1652 is a consequence of e_1601. e_324 is a consequence of e_1393. Substitution of q47 found in e_1543 : q47=0 Step 1777: Hot list 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 4 terms q41 The lexicographical ordering of unknowns is changed because q41 has to be non-zero, giving q41 a low priority. Old ordering: q58,q56,q43,q41,q37,q33,p14,p10,p8,p4,p1,p7,p16 New ordering: q58,q56,q43,q37,q33,q41,p14,p10,p8,p4,p1,p7,p16 Substitution of q33 found in e_686 : q33=0 Step 1778: Hot list 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 16 terms Substitution of q58 found in e_1393 : q58=0 Step 1779: Hot list 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 13 terms e_1361 is a consequence of e_1601.e_1247 is a consequence of e_1361 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: q56,q43,q37,q41,p14,p10,p8,p4,p1,p7,p16 New ordering: q56,q37,q43,q41,p14,p10,p8,p4,p1,p7,p16 e_1550 is a consequence of e_1255. e_1683 is a consequence of e_1255. e_1683 is a consequence of e_516. e_1635 is a consequence of e_1255. Substitution of q56 found in e_897 : q56=0 Step 1780: Hot list 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 12 terms e_1681 is a consequence of e_1530. e_1663 is a consequence of e_1255. e_53 is a consequence of e_1530. e_1498 is a consequence of e_1530. Substitution of q37 found in e_1547 : q37=0 Step 1781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p1 found in e_1447 : p1=0 Step 1782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q41=0 because of the non-vanishing expression: q41 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 20 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: q58,q56,q47,q43,q41,q37,q33,p14,p10,p8,p7,p4,p3,p1,p16 New ordering: q58,q56,q47,q43,q41,q37,q33,p14,p10,p8,p7,p4,p1,p3,p16 New level : 1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_21 : 0=q47 e_1495,e_1701,e_834,e_1694,e_1712,e_1527,e_1714,e_1722,e_1604,e_1646 are consequences of e_21 Step 1783: 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 e_997 is a consequence of e_1692. e_1599 is a consequence of e_1258. e_1342 is a consequence of e_1692. e_1357 is a consequence of e_1396. Substitution of q47 found in e_21 : q47=0 Step 1784: Hot list 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 q41 The lexicographical ordering of unknowns is changed because q41 has to be non-zero, giving q41 a low priority. Old ordering: q58,q56,q43,q41,q37,q33,p14,p10,p8,p7,p4,p1,p3,p16 New ordering: q58,q56,q43,q37,q33,q41,p14,p10,p8,p7,p4,p1,p3,p16 The list of inequalities got extended by: An expression with 17 terms Substitution of q33 found in e_1660 : q33=0 Step 1785: Hot list 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 14 terms e_1386 is a consequence of e_1244. e_1382 is a consequence of e_1244. e_1682 is a consequence of e_1255. e_1705 is a consequence of e_1255. e_1705 is a consequence of e_516. e_1705 is a consequence of e_1692. e_1190 is a consequence of e_1255. e_1190 is a consequence of e_1692. Substitution of q56 found in e_1258 : q56=0 Step 1786: Hot list 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 13 terms e_1641 is a consequence of e_1255. e_1641 is a consequence of e_1692. Substitution of q37 found in e_1398 : q37=0 Step 1787: Hot list 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 12 terms e_1388,e_324 are consequences of e_1645 e_1282 is a consequence of e_1645. e_1282 is a consequence of e_1692. Substitution of q58 found in e_1396 : q58=0 Step 1788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0033*p7 + g0036*p3 Substitution of p1 found in e_1447 : p1=0 Step 1789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q41=0 because of the non-vanishing expression: q41 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: 130 ms The list of inequalities got extended by: p2 The lexicographical ordering of unknowns is changed because p2 has to be non-zero, giving p2 a low priority. Old ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p16,p14,p10,p8,p7,p4,p3,p2,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p16,p14,p10,p8,p7,p4,p3,p1,p2 New level : 1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_1650 : 0=q5 Step 1790: 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 32 terms e_1455 is a consequence of e_1382. *** Garbage collection starting *** GC 733 4-Oct-2003 13:11:01, 50 ms (0%), 1319829 occupied, 23680118 free Substitution of q5 found in e_1650 : q5=0 Step 1791: Hot list 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 Substitution of q20 found in e_516 : q20=0 Step 1792: Hot list 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 30 terms e_898 is a consequence of e_1447. e_1442 is a consequence of e_834. Substitution of q6 found in e_523 : q6=0 Step 1793: Hot list 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_1577 is a consequence of e_1546. Substitution of q24 found in e_834 : q24=0 Step 1794: Hot list 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 28 terms Substitution of q1 found in e_271 : q1=0 Step 1795: Hot list 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 Substitution of q27 found in e_514 : q27=0 Step 1796: Hot list 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 26 terms Substitution of q28 found in e_1040 : q28=0 Step 1797: Hot list 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 25 terms e_1438 is a consequence of e_1326. Substitution of q30 found in e_350 : q30=0 Step 1798: Hot list 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 24 terms e_1544 is a consequence of e_989. e_1544 is a consequence of e_997. e_1426 is a consequence of e_1111. Substitution of q32 found in e_1053 : q32=0 Step 1799: Hot list 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 23 terms e_1548 is a consequence of e_1298. e_1412 is a consequence of e_1399. e_892 is a consequence of e_1313. e_1451 is a consequence of e_1326. Substitution of q31 found in e_997 : q31=0 Step 1800: Hot list 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 22 terms e_1581 is a consequence of e_1326. e_1590 is a consequence of e_1399. e_1425 is a consequence of e_1399. e_1595 is a consequence of e_1399. Substitution of q29 found in e_644 : q29=0 Step 1801: Hot list 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_1594 is a consequence of e_1399. Substitution of q12 found in e_699 : q12=0 Step 1802: Hot list 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_1366 is a consequence of e_1313. Substitution of q11 found in e_1248 : q11=0 Step 1803: Hot list 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_1553 is a consequence of e_1258. Substitution of q13 found in e_1313 : q13=0 Step 1804: Hot list 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_1080 is a consequence of e_1326. e_1484 is a consequence of e_1482. *** Garbage collection starting *** GC 734 4-Oct-2003 13:11:05, 70 ms (0%), 1347537 occupied, 23652409 free Substitution of q15 found in e_1111 : q15=0 Step 1805: Hot list 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_1604 is a consequence of e_1371. e_1616 is a consequence of e_1399. e_1450 is a consequence of e_1280. Substitution of q17 found in e_1326 : q17=0 Step 1806: Hot list 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 e_1624 is a consequence of e_1388. e_1625 is a consequence of e_1619. e_1626 is a consequence of e_1622. Substitution of q33 found in e_1322 : q33=0 Step 1807: Hot list 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_1611 is a consequence of e_1379. e_1605 is a consequence of e_1375. e_1427 is a consequence of e_1343. Substitution of q14 found in e_1399 : q14=0 Step 1808: Hot list 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 25 terms e_1508 is a consequence of e_1402. e_1429 is a consequence of e_1006. Substitution of q35 found in e_1401 : q35=0 Step 1809: Hot list 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_1384 is a consequence of e_1376 e_1488 is a consequence of e_1509 Substitution of q49 found in e_1402 : q49=0 Step 1810: Hot list 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_19 is a consequence of e_1383. e_1415 is a consequence of e_1390. e_1419 is a consequence of e_1383. Substitution of q50 found in e_1006 : q50=0 Step 1811: Hot list 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 e_1436 is a consequence of e_1554. e_610 is a consequence of e_939. e_1631 is a consequence of e_1421. Substitution of q26 found in e_1383 : q26=0 Step 1812: Hot list 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_1418 is a consequence of e_1414. e_1644 is a consequence of e_1634. Substitution of q25 found in e_1554 : q25=0 Step 1813: Hot list 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 Substitution of q10 found in e_1275 : q10=0 Step 1814: Hot list 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_1588 is a consequence of e_1474. e_1650 is a consequence of e_1352. Substitution of q8 found in e_1382 : q8=0 Step 1815: Hot list 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_1455 is a consequence of e_1258. Substitution of q7 found in e_1351 : q7=0 Step 1816: Hot list 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_1387 is a consequence of e_879. Substitution of q2 found in e_1368 : q2=0 Step 1817: Hot list 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_1346 is a consequence of e_1535. e_1552 is a consequence of e_578. Substitution of q3 found in e_1258 : q3=0 Step 1818: Hot list 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 7 terms e_677 is a consequence of e_1447. e_1389 is a consequence of e_1523. Substitution of q4 found in e_1343 : q4=0 Step 1819: Hot list 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 *** Garbage collection starting *** GC 735 4-Oct-2003 13:11:09, 70 ms (0%), 1352735 occupied, 23647210 free e_1572 is a consequence of e_1447. e_789 is a consequence of e_1509. e_1437 is a consequence of e_1376.e_1428 is a consequence of e_1446 e_1261 is a consequence of e_1446. e_1580 is a consequence of e_1446. e_1584 is a consequence of e_1446. Substitution of q38 found in e_1546 : q38=0 Step 1820: Hot list 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 11 terms e_1320 is a consequence of e_1416. e_1587 is a consequence of e_1446. e_1040 is a consequence of e_1390. Substitution of q9 found in e_1447 : q9=0 Step 1821: Hot list 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_879 is a consequence of e_1410. e_953 is a consequence of e_1439.e_1547,e_1596,e_1018,e_1352,e_1410,e_578 are consequences of e_1358 e_1370 is a consequence of e_1376. e_1438 is a consequence of e_1509.e_529,e_858 are consequences of e_1130 Substitution of q41 found in e_1390 : q41=0 Step 1822: Hot list 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_1570 is a consequence of e_1446.e_1172 is a consequence of e_1454 e_1544 is a consequence of e_350. Substitution of q18 found in e_1376 : q18=0 Step 1823: Hot list 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_1583 is a consequence of e_1446. e_1532 is a consequence of e_1446.e_1393 is a consequence of e_1473 Substitution of q22 found in e_1509 : q22=0 Step 1824: Hot list 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_1342 is a consequence of e_1446. e_1453 is a consequence of e_1454. e_1638 is a consequence of e_1454. e_1483 is a consequence of e_1473. e_1639 is a consequence of e_1473. e_1462 is a consequence of e_1130. Substitution of q51 found in e_1416 : q51=0 Step 1825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0048*q23 + g0050*q21 + g0052*q19 e_1250 is a consequence of e_1535. e_1451 is a consequence of e_1567. Substitution of q16 found in e_1636 : q16=0 Step 1826: Hot list 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 10 terms e_1310 is a consequence of e_1362. e_1523 is a consequence of e_1234. e_1235 is a consequence of e_1362. e_1373 is a consequence of e_1454. e_1652 is a consequence of e_1454. e_1531 is a consequence of e_1473. e_1557 is a consequence of e_1473. e_1558 is a consequence of e_1454. e_1445 is a consequence of e_1473. Substitution of q34 found in e_1446 : q34=0 Step 1827: Hot list 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 9 terms e_523,e_1474 are consequences of e_1282 e_606 is a consequence of e_1282. e_1503 is a consequence of e_1282. e_53 is a consequence of e_1282. e_1439 is a consequence of e_1130. e_1482 is a consequence of e_1282. e_1589 is a consequence of e_1282. e_909 is a consequence of e_1472. e_1456 is a consequence of e_1130. Substitution of q56 found in e_1358 : q56=0 Step 1828: Hot list 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_1610 is a consequence of e_1551. e_1472 is a consequence of e_1282. e_1278 is a consequence of e_1471. e_350 is a consequence of e_1454. e_1422 is a consequence of e_1454. e_1485 is a consequence of e_1282. e_1541 is a consequence of e_1282. e_1548 is a consequence of e_1473. Substitution of q43 found in e_1130 : q43=0 Step 1829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0048*q23 + g0052*q19 e_271,e_1423 are consequences of e_1473 e_1494 is a consequence of e_1473. e_1647 is a consequence of e_1637. e_1565 is a consequence of e_1567. e_940 is a consequence of e_1234. e_834 is a consequence of e_1234. Substitution of q21 found in e_1454 : q21=0 Step 1830: Hot list 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_1395 is a consequence of e_1569. e_1471 is a consequence of e_1569. e_1577 is a consequence of e_1491. e_851 is a consequence of e_898. Substitution of q58 found in e_1282 : q58=0 Step 1831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q19 The list of inequalities got extended by: p1 q46 The lexicographical ordering of unknowns is changed because q46 has to be non-zero, giving q46 a low priority. Old ordering: q59,q57,q55,q54,q53,q52,q48,q47,q46,q45,q44,q42,q40,q39,q37,q36, q23,q19,p16,p14,p10,p8,p7,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q52,q48,q47,q45,q44,q42,q40,q39,q37,q36,q23, q46,q19,p16,p14,p10,p8,p7,p4,p3,p1,p2 The list of inequalities got extended by: p3 The list of inequalities got extended by: p4 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q59,q57,q55,q54,q53,q52,q48,q47,q45,q44,q42,q40,q39,q37,q36,q23, q46,q19,p16,p14,p10,p8,p7,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q52,q48,q47,q45,q44,q42,q40,q39,q37,q36,q23, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 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: q59,q57,q55,q54,q53,q52,q48,q47,q45,q44,q42,q40,q39,q37,q36,q23, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q52,q48,q47,q44,q42,q40,q39,q37,q36,q23,q45, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 The list of inequalities got extended by: q48 The lexicographical ordering of unknowns is changed because q48 has to be non-zero, giving q48 a low priority. Old ordering: q59,q57,q55,q54,q53,q52,q48,q47,q44,q42,q40,q39,q37,q36,q23,q45, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q52,q47,q44,q42,q40,q39,q37,q36,q23,q48,q45, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 The list of inequalities got extended by: p16 q52 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q59,q57,q55,q54,q53,q52,q47,q44,q42,q40,q39,q37,q36,q23,q48,q45, q46,q19,p16,p14,p8,p7,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q52,q47,q44,q42,q40,q39,q37,q36,q23,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 The lexicographical ordering of unknowns is changed because q52 has to be non-zero, giving q52 a low priority. Old ordering: q59,q57,q55,q54,q53,q52,q47,q44,q42,q40,q39,q37,q36,q23,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q47,q44,q42,q40,q39,q37,q36,q23,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 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: q59,q57,q55,q54,q53,q47,q44,q42,q40,q39,q37,q36,q23,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q47,q44,q42,q39,q37,q36,q23,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 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: q59,q57,q55,q54,q53,q47,q44,q42,q39,q37,q36,q23,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q47,q44,q39,q37,q36,q23,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 The list of inequalities got extended by: q44 The lexicographical ordering of unknowns is changed because q44 has to be non-zero, giving q44 a low priority. Old ordering: q59,q57,q55,q54,q53,q47,q44,q39,q37,q36,q23,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q47,q39,q37,q36,q23,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 The list of inequalities got extended by: q47 The lexicographical ordering of unknowns is changed because q47 has to be non-zero, giving q47 a low priority. Old ordering: q59,q57,q55,q54,q53,q47,q39,q37,q36,q23,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q54,q53,q39,q37,q36,q23,q47,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 The list of inequalities got extended by: q54 The lexicographical ordering of unknowns is changed because q54 has to be non-zero, giving q54 a low priority. Old ordering: q59,q57,q55,q54,q53,q39,q37,q36,q23,q47,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q53,q39,q37,q36,q23,q54,q47,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 e_1032 is a consequence of e_1208. e_1032 is a consequence of e_1657. e_23 is a consequence of e_1460. e_23 is a consequence of e_1535. e_23 is a consequence of e_1567.e_1457,e_639,e_1234 are consequences of e_23 e_1365 is a consequence of e_1460. e_1365 is a consequence of e_1569. e_1365 is a consequence of e_1362. e_1365 is a consequence of e_1535. e_1365 is a consequence of e_1567. e_1365 is a consequence of e_939. e_1365 is a consequence of e_505. e_1590 is a consequence of e_1448. The list of inequalities got extended by: q53 The lexicographical ordering of unknowns is changed because q53 has to be non-zero, giving q53 a low priority. Old ordering: q59,q57,q55,q53,q39,q37,q36,q23,q54,q47,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 New ordering: q59,q57,q55,q39,q37,q36,q23,q53,q54,q47,q44,q42,q40,q52,q48,q45, q46,q19,p14,p8,p7,p16,p10,p4,p3,p1,p2 Substitution of q23 found in e_1473 : q23=0 Step 1832: Hot list 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: g0036*p3 + g0037*p1 e_1594 is a consequence of e_997.e_852 is a consequence of e_1594 e_699 is a consequence of e_997. e_1366 is a consequence of e_1388.e_1491 is a consequence of e_1366 e_1313 is a consequence of e_1208. e_1313 is a consequence of e_1657. e_1356 is a consequence of e_1208. e_1356 is a consequence of e_1657. e_1080 is a consequence of e_514. e_1080 is a consequence of e_893. e_1484 is a consequence of e_1460. e_1484 is a consequence of e_1535. e_1484 is a consequence of e_1567. e_1111 is a consequence of e_1659. e_1111 is a consequence of e_1361. e_1111 is a consequence of e_1648. e_1111 is a consequence of e_1344.e_1288,e_1337,e_898 are consequences of e_1111 e_863 is a consequence of e_1388. e_1398 is a consequence of e_1431. e_1398 is a consequence of e_1298. e_1616 is a consequence of e_1431. e_1616 is a consequence of e_1298.e_1181 is a consequence of e_1616 e_1450 is a consequence of e_1255. e_1618 is a consequence of e_1604. e_1621 is a consequence of e_1388. e_1624 is a consequence of e_1591. e_1626 is a consequence of e_1388. e_1322 is a consequence of e_1617. e_1411 is a consequence of e_1625. e_1627 is a consequence of e_1604. e_1627 is a consequence of e_1615. e_1627 is a consequence of e_1260. e_1628 is a consequence of e_1388. *** Garbage collection starting *** GC 736 4-Oct-2003 13:11:13, 60 ms (0%), 1331613 occupied, 23668330 free e_1611 is a consequence of e_1354. e_1605 is a consequence of e_1620. Substitution of p7 found in e_505 : p7=0 Step 1833: Hot list 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 6 terms e_1255 is a consequence of e_1388. e_847 is a consequence of e_1388. e_1534 is a consequence of e_1388. e_1591 is a consequence of e_1388. e_1427 is a consequence of e_1388. e_1399 is a consequence of e_1659. e_1399 is a consequence of e_1361. e_1399 is a consequence of e_1648. e_1399 is a consequence of e_1344. e_1385 is a consequence of e_1659. e_1385 is a consequence of e_1361. e_1385 is a consequence of e_1648. e_1385 is a consequence of e_1344. e_1360 is a consequence of e_1659. e_1360 is a consequence of e_1361. e_1360 is a consequence of e_1648. e_1360 is a consequence of e_1344. e_1545 is a consequence of e_1659. e_1545 is a consequence of e_1361. e_1545 is a consequence of e_1648. e_1545 is a consequence of e_1344. e_976 is a consequence of e_1659. e_976 is a consequence of e_1361. e_976 is a consequence of e_1648. e_976 is a consequence of e_1344. Substitution of q57 found in e_1298 : q57=0 Step 1834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0097*p16 + g0103*p10 The list of inequalities got extended by: An expression with 5 terms e_1374 is a consequence of e_1208. e_1374 is a consequence of e_1657. e_514 is a consequence of e_1208. e_514 is a consequence of e_1657. e_893 is a consequence of e_1208. e_893 is a consequence of e_1657. e_1407 is a consequence of e_1604. e_1553 is a consequence of e_1460. e_1553 is a consequence of e_1535. e_1553 is a consequence of e_1567. e_1429 is a consequence of e_1604. e_1401 is a consequence of e_997. e_1193 is a consequence of e_1604. e_602 is a consequence of e_1388. e_1308 is a consequence of e_997. e_1629 is a consequence of e_997. e_1630 is a consequence of e_1604. e_1384 is a consequence of e_1388. e_1488 is a consequence of e_997. e_1402 is a consequence of e_1388. e_19 is a consequence of e_1388. e_1419 is a consequence of e_997. e_1006 is a consequence of e_1354. e_1524 is a consequence of e_1508. e_1397 is a consequence of e_1354. Substitution of p14 found in e_1344 : p14=0 Step 1835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q54=0 because of the non-vanishing expression: q54 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: p12 The lexicographical ordering of unknowns is changed because p12 has to be non-zero, giving p12 a low priority. Old ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p16,p14,p12,p10,p8,p7,p4,p3,p2,p1 New ordering: q59,q58,q57,q56,q55,q54,q53,q52,q51,q50,q49,q48,q47,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,p16,p14,p10,p8,p7,p4,p3,p2,p1,p12 New level : 1.1.1.1.1.1.2. CRACK is now called with the new equation e_1018 : 0=q1 e_271,e_265,e_1233,e_1394,e_1169,e_975,e_1341 are consequences of e_1018 Step 1836: 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 27 terms Substitution of q1 found in e_1018 : q1=0 Step 1837: Hot list 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 Substitution of q27 found in e_852 : q27=0 Step 1838: Hot list 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 30 terms e_1426 is a consequence of e_847. Substitution of q29 found in e_1193 : q29=0 Step 1839: Hot list 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_1425 is a consequence of e_847. e_1400 is a consequence of e_847. e_980 is a consequence of e_847. Substitution of q12 found in e_1337 : q12=0 Step 1840: Hot list 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 Substitution of q14 found in e_847 : q14=0 Step 1841: Hot list 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 28 terms Substitution of q8 by an expression in q3 found in e_976 : q8= - q3 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 : The list of inequalities got extended by: An expression with 28 terms e_97 is a consequence of e_1190. e_604 is a consequence of e_147. Substitution of q26 by an expression in q25 found in e_1324 : q26= - 3*q25 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 : The list of inequalities got extended by: An expression with 26 terms Substitution of q59 by an expression in q17, p16, p12 found in e_1317 : 1 ---*p16*q17 7 q59=------------- p12 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 : The list of inequalities got extended by: An expression with 28 terms e_1331 is a consequence of e_505. e_1406 is a consequence of e_893. *** Garbage collection starting *** GC 737 4-Oct-2003 13:11:18, 60 ms (0%), 1363164 occupied, 23636780 free Substitution of q25 by an expression in q54, p3, p12 found in e_875 : 2 ----*p3*q54 15 q25=------------- p12 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 : The list of inequalities got extended by: An expression with 29 terms Substitution of q24 by an expression in q50, p4, p12 found in e_704 : - p12*q50 + p4*q50 q24=--------------------- p12 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 : The list of inequalities got extended by: An expression with 30 terms Substitution of q20 by an expression in q50, p2, p12 found in e_873 : p12*q50 + p2*q50 q20=------------------ p12 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 34 terms e_1332 is a consequence of e_856. e_1261 is a consequence of e_856. e_987 is a consequence of e_856. e_1281 is a consequence of e_855. e_1395 is a consequence of e_855. Substitution of q50 by an expression in q49, p10, p12 found in e_669 : 7 factors in 3 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q3 by an expression in q35, q2, p3, p12 found in e_1402 : p12*q2 + p3*q35 q3=----------------- p12 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 : *** Garbage collection starting *** GC 738 4-Oct-2003 13:11:21, 70 ms (0%), 1393482 occupied, 23606460 free --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 e_1392 is a consequence of e_505. 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 : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 37 terms Substitution of q9 by an expression in q35, p7, p3, p12 found in e_97 : - p3*q35 + p7*q35 q9=-------------------- p12 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 2 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 2 terms 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 2 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 2 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 2 terms 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 2 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 2 terms 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 4 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 4 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 739 4-Oct-2003 13:11:25, 70 ms (0%), 1402076 occupied, 23597868 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 740 4-Oct-2003 13:11:30, 80 ms (0%), 1585590 occupied, 23414316 free *** Garbage collection starting *** GC 741 4-Oct-2003 13:11:35, 90 ms (0%), 1651624 occupied, 23348237 free Eliminate q17 from e_1403 and e_1429. e_1429: 0=(q17 + q31 - q32)*p8 is replaced by e_1526: 0=(q31 - q32)*p8 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 : --- Length reducing decoupling steps : Eliminate q31 from e_1181 and e_1526. e_1526: 0=(q31 - q32)*p8 is replaced by e_1529: 0=p8*q32 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 : 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 742 4-Oct-2003 13:11:40, 80 ms (0%), 1519698 occupied, 23480229 free Eliminate q17 from e_1403 and e_1305. e_1305: 0=(q15 + 2*q17 - q31)*p8 is replaced by e_1542: 0=(q15 - q31)*p8 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 : --- Length reducing decoupling steps : Eliminate q31 from e_1181 and e_1542. e_1542: 0=(q15 - q31)*p8 is replaced by e_1545: 0=p8*q15 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 : --- Length reducing decoupling steps : Eliminate q30 from e_914 and e_1291. e_1291: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q32,q31,q30,p16) is replaced by e_1553: 0=(3*q31 + 2*q32)*p16 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 : --- Length reducing decoupling steps : Eliminate q32 from e_1270 and e_1553. e_1553: 0=(3*q31 + 2*q32)*p16 is replaced by e_1556: 0=p16*q31 e_1556 is a consequence of e_989. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 743 4-Oct-2003 13:11:45, 80 ms (0%), 1527191 occupied, 23472735 free *** Garbage collection starting *** GC 744 4-Oct-2003 13:11:50, 80 ms (0%), 1614512 occupied, 23385365 free *** Garbage collection starting *** GC 745 4-Oct-2003 13:11:55, 80 ms (0%), 1435325 occupied, 23564615 free *** Garbage collection starting *** GC 746 4-Oct-2003 13:12:00, 80 ms (0%), 1557344 occupied, 23442554 free *** Garbage collection starting *** GC 747 4-Oct-2003 13:12:05, 90 ms (0%), 1641409 occupied, 23358457 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_505 we get the alternative equations : 0=p7 0=q54 New level : 1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1642 : 0=p7 e_1357,e_1263,e_849,e_686,e_939 are consequences of e_1642 Step 1888: Hot list of urgent steps : The list of inequalities got extended by: g0036*p3 + g0037*p1 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_1490 is a consequence of e_1563. Substitution of p7 found in e_1642 : p7=0 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 : *** Garbage collection starting *** GC 748 4-Oct-2003 13:12:08, 80 ms (0%), 1432502 occupied, 23567442 free --- 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 1 term 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q55 from e_97 and e_487. e_487: 3 terms, 6 factors, with derivatives of functions of all variables: (q55,q28,p3,p1) is replaced by e_1615: 0=q28*(2*p1 + 5*p3) 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 : *** Garbage collection starting *** GC 749 4-Oct-2003 13:12:13, 80 ms (0%), 1432704 occupied, 23567239 free --- Length reducing decoupling steps : Eliminate q55 from e_1305 and e_1528. e_1305: 3 terms, 6 factors, with derivatives of functions of all variables: (q55,q28,p3,p1) is replaced by e_1617: 0=q28*(p1 + 2*p3) 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 : *** Garbage collection starting *** GC 750 4-Oct-2003 13:12:19, 70 ms (0%), 1432804 occupied, 23567139 free --- Length reducing decoupling steps : Eliminate q28 from e_1617 and e_1482. e_1482: 3 terms, 6 factors, with derivatives of functions of all variables: (q31,q28,p3,p1) is replaced by e_1619: 0=p1*q31 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 751 4-Oct-2003 13:12:25, 90 ms (0%), 1686676 occupied, 23313202 free Eliminate q31 from e_1619 and e_1392. e_1392: 0=(q31 + q55 + 2*q57)*p1 is replaced by e_1625: 0=(q55 + 2*q57)*p1 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1625 and e_1495. e_1495: 0=(q32 - 3*q55 - 3*q57)*p1 is replaced by e_1628: 0=(2*q32 - 3*q55)*p1 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1625 and e_1489. e_1489: 0=(q30 - 3*q55 - q57)*p1 is replaced by e_1631: 0=(2*q30 - 5*q55)*p1 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 752 4-Oct-2003 13:12:30, 70 ms (0%), 1471043 occupied, 23528894 free *** Garbage collection starting *** GC 753 4-Oct-2003 13:12:36, 80 ms (0%), 1617730 occupied, 23382157 free *** Garbage collection starting *** GC 754 4-Oct-2003 13:12:42, 70 ms (0%), 1494494 occupied, 23505439 free *** Garbage collection starting *** GC 755 4-Oct-2003 13:12:48, 80 ms (0%), 1631617 occupied, 23368274 free *** Garbage collection starting *** GC 756 4-Oct-2003 13:12:54, 80 ms (0%), 1515697 occupied, 23484234 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1326 we get the alternative equations : 0=p2 0=q17 New level : 1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_1678 : 0=p2 e_1342,e_523,e_1040,e_350,e_1053,e_997,e_1248,e_1313,e_1111,e_1322 are consequences of e_1678 Step 1906: Hot list of urgent steps : The list of inequalities got extended by: An expression with 34 terms e_1497,e_1559,e_935,e_838,e_1563 are consequences of e_1679 e_855,e_872 are consequences of e_1680 e_1320 is a consequence of e_1681 e_1682 is a consequence of e_1679.e_1236,e_1155,e_147,e_1190 are consequences of e_1683 e_1684 is a consequence of e_1680. e_1686 is a consequence of e_1683. e_1692 is a consequence of e_1679. e_1697 is a consequence of e_1679. e_1699 is a consequence of e_1679. e_1716 is a consequence of e_1680. e_1717 is a consequence of e_1680. e_1718 is a consequence of e_1680. e_1733 is a consequence of e_1680. Substitution of p2 found in e_1678 : p2=0 Step 1907: Hot list 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 26 terms The list of inequalities got extended by: An expression with 31 terms e_1689 is a consequence of e_1690. e_1597 is a consequence of e_1680. e_1711 is a consequence of e_1705. e_1698 is a consequence of e_1713. e_1598 is a consequence of e_1390. e_1601 is a consequence of e_1705. e_1602 is a consequence of e_1687. e_1605 is a consequence of e_1390. e_1712 is a consequence of e_1701. e_1710 is a consequence of e_1713. e_1451 is a consequence of e_1687. e_1551 is a consequence of e_1687. e_1726 is a consequence of e_1701. e_1305 is a consequence of e_1701. Substitution of q35 found in e_1679 : q35=0 Step 1908: Hot list 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 25 terms e_513 is a consequence of e_1632 e_1695 is a consequence of e_1734. e_1669 is a consequence of e_1632. Substitution of q49 found in e_1680 : q49=0 Step 1909: Hot list 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 24 terms e_1688 is a consequence of e_1734. Substitution of q6 found in e_1632 : q6=0 Step 1910: Hot list 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 757 4-Oct-2003 13:12:58, 90 ms (0%), 1466467 occupied, 23533477 free Substitution of q46 found in e_1734 : q46=0 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 : The list of inequalities got extended by: An expression with 24 terms e_1701 is a consequence of e_1725. e_1701 is a consequence of e_1683. e_1744 is a consequence of e_1725. e_1744 is a consequence of e_1683. e_1729 is a consequence of e_1725. e_1729 is a consequence of e_1683. e_1737 is a consequence of e_1725. e_1737 is a consequence of e_1683. e_1662 is a consequence of e_1725. e_1662 is a consequence of e_1683. Substitution of q22 by an expression in q54, p16, p3, p12 found in e_1661 : 12*p16*p3*q54 q22=--------------- 2 p12 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 : The list of inequalities got extended by: An expression with 24 terms e_1713 is a consequence of e_1725. e_1713 is a consequence of e_1683. e_1732 is a consequence of e_1725. e_1732 is a consequence of e_1683. e_1735 is a consequence of e_1725. e_1735 is a consequence of e_1683. e_1677 is a consequence of e_1725. e_1677 is a consequence of e_1683. e_1672 is a consequence of e_1725. e_1672 is a consequence of e_1683. e_1664 is a consequence of e_1725. e_1664 is a consequence of e_1683. Substitution of q18 by an expression in q54, p16, p3, p12 found in e_1666 : - 4*p16*p3*q54 q18=----------------- 2 p12 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 : The list of inequalities got extended by: An expression with 25 terms Substitution of q23 by an expression in q54, q21, p16, p3, p12 found in e_1663 : 11 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 28 terms *** Garbage collection starting *** GC 758 4-Oct-2003 13:13:01, 80 ms (0%), 1481431 occupied, 23518512 free Substitution of q7 by an expression in q36, q5, q2, p14, p12 found in e_1588 : 11 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 24 terms Substitution of q41 by an expression in q51, q43, p16, p4, p12 found in e_1679 : 9 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q38 by an expression in q34, p4, p12 found in e_350 : 8 factors in 3 terms 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 e_855 is a consequence of e_1725. e_855 is a consequence of e_1683. 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 e_1320 is a consequence of e_1725. e_1320 is a consequence of e_1683. 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 e_1682 is a consequence of e_1725. e_1682 is a consequence of e_1683. 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 1 term 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 2 terms e_1236 is a consequence of e_1725. e_1236 is a consequence of e_1683. e_1236 is a consequence of e_893. 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 1 term 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 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 e_1761 is a consequence of e_1649. 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 1 term 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 1 term 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 1 term 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 2 terms 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 e_1771 is a consequence of e_1725. e_1771 is a consequence of e_1683. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : The list of inequalities got extended by: An expression with 32 terms Substitution of q21 by an expression in q53, q19, p10, p12 found in e_1801 : 11 factors in 4 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 2 terms e_1827 is a consequence of e_1788. 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 1 term 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 1 term 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 1 term 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 1 term 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 : The list of inequalities got extended by: An expression with 28 terms *** Garbage collection starting *** GC 759 4-Oct-2003 13:13:05, 80 ms (0%), 1486343 occupied, 23513600 free Substitution of q45 by an expression in q48, q19, q16, p10, p12 found in e_1601 : 10 factors in 5 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 1 term 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 1 term 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 2 terms e_838 is a consequence of e_1766. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 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 1 term 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 1 term 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 2 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 2 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 1 term 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 0 terms 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 2 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 : shortening by 1 term e_1718 is a consequence of e_1472. 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 : shortening by 1 term 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 : shortening by 1 term Step 2023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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_350 is a consequence of e_1683. e_350 is a consequence of e_1681. 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 e_1040 is a consequence of e_1683. e_1040 is a consequence of e_1681. 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_1392 is a consequence of e_1685. e_1392 is a consequence of e_1683. 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 e_1783 is a consequence of e_1683. 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 e_1629 is a consequence of e_1683. 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 1 term e_855 is a consequence of e_1683. 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 : The list of inequalities got extended by: An expression with 29 terms e_1711 is a consequence of e_1683. e_1711 is a consequence of e_1681. e_872 is a consequence of e_1683. e_523 is a consequence of e_1685. e_523 is a consequence of e_1683. e_1785 is a consequence of e_1683. e_1326 is a consequence of e_1683. Substitution of q52 by an expression in q54, p10, p3, p12 found in e_1598 : 12 factors in 3 terms 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 2 terms e_1602 is a consequence of e_1649 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 2 terms e_1652 is a consequence of e_1725. e_1652 is a consequence of e_1683. 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 1 term 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 1 term 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 760 4-Oct-2003 13:13:09, 80 ms (0%), 1478995 occupied, 23520947 free 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 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 761 4-Oct-2003 13:13:16, 100 ms (0%), 1505725 occupied, 23494205 free Eliminate q11 from e_1687 and e_1688. e_1687: 0=p16*q2 + p8*q11 is replaced by e_1765: 0=p16*q2 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 1 term 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 1 term 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 e_1796 is a consequence of e_1423. 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 1 term 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 1 term 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 e_1735 is a consequence of e_1765. 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 1 term 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 1 term 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 1 term e_1618 is a consequence of e_1801. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 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 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 762 4-Oct-2003 13:13:21, 110 ms (0%), 1596850 occupied, 23403054 free *** Garbage collection starting *** GC 763 4-Oct-2003 13:13:29, 110 ms (0%), 1585093 occupied, 23414823 free *** Garbage collection starting *** GC 764 4-Oct-2003 13:13:36, 90 ms (0%), 1578464 occupied, 23421457 free Eliminate q37 from e_1472 and e_1714. e_1714: 3 terms, 6 factors, with derivatives of functions of all variables: (q37,q2,p10,p1,p12) is replaced by e_1154: 0=q2 e_1765 is a consequence of e_1154 Step 2097: Hot list 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 28 terms e_1788 is a consequence of e_1677 e_1530 is a consequence of e_1749. Substitution of q2 found in e_1154 : q2=0 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 1 term 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 : *** Garbage collection starting *** GC 765 4-Oct-2003 13:13:42, 80 ms (0%), 1477147 occupied, 23522794 free --- 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 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 : --- Length reducing decoupling steps : Eliminate q16 from e_1814 and e_1187. e_1187: 0=(q10 - 2*q16)*p8 is replaced by e_1693: 0=p8*q10 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 e_523 is a consequence of e_1547. 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 : --- Length reducing decoupling steps : Eliminate q10 from e_1693 and e_1463. e_1463: 0=(q10 + q16)*p8 is replaced by e_1326: 0=p8*q16 e_1326 is a consequence of e_1814. 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 : --- Length reducing decoupling steps : Eliminate q34 from e_1677 and e_1746. e_1746: 0=(q34 + q37)*p1 is replaced by e_1598: 0=p1*q37 e_1598 is a consequence of e_1472. 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1595 and e_584. e_584: 0=(q10 - q39)*p1 is replaced by e_1793: 0=p1*q10 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 1 term 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1595 and e_1391. e_1391: 0=(3*q39 - q5)*p1 is replaced by e_1652: 0=p1*q5 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 766 4-Oct-2003 13:13:48, 80 ms (0%), 1592349 occupied, 23407564 free Eliminate q10 from e_1693 and e_1557. e_1557: 0=(q10 - q19 + q5)*p8 is replaced by e_1687: 0=(q19 - q5)*p8 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 1 term 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 767 4-Oct-2003 13:13:55, 110 ms (0%), 1522987 occupied, 23476939 free Eliminate q39 from e_1437 and e_1778. e_1778: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q36,q5,p3,p1) is replaced by e_147: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q5,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1437 and e_1701. e_1701: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q36,q10,p3,p1) is replaced by e_1563: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q10,p3,p1) 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 : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q36 from e_1611 and e_1787. e_1787: 0=p1*q36 - p1*q4 - p3*q10 is replaced by e_1657: 0=p1*q4 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 768 4-Oct-2003 13:14:02, 80 ms (0%), 1509891 occupied, 23490040 free Eliminate q53 from e_1774 and e_1771. e_1774: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q53,q19,p10,p8,p12) is replaced by e_1792: 0=p8*q19 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 1 term 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 1 term 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_997 is a consequence of e_1144. 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 1 term e_1633 is a consequence of e_1715. 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 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1792 and e_1687. e_1687: 0=(q19 - q5)*p8 is replaced by e_1830: 0=p8*q5 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 e_1832 is a consequence of e_1144. 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_1423 is a consequence of e_1144. 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 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 : *** Garbage collection starting *** GC 769 4-Oct-2003 13:14:09, 80 ms (0%), 1477137 occupied, 23522804 free --- 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1484 and e_1421. e_1484: 4 terms, 8 factors, with derivatives of functions of all variables: (q57,q55,q30,p3,p1) is replaced by e_1624: 0=(3*q30 + q55)*p3 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1624 and e_1421. e_1421: 4 terms, 8 factors, with derivatives of functions of all variables: (q57,q55,q30,p3,p1) is replaced by e_1644: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q30,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1731 and e_1665. e_1731: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q19,p10 ,p10,p4,p12 ,p12) is replaced by e_1630: 0=q19*(p10 - p12 + 4*p4) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 770 4-Oct-2003 13:14:16, 110 ms (0%), 1518245 occupied, 23481685 free *** Garbage collection starting *** GC 771 4-Oct-2003 13:14:24, 90 ms (0%), 1561606 occupied, 23438314 free Eliminate q39 from e_1437 and e_1606. e_1606: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q39,q36,q5,p14,p3,p12) is replaced by e_1492: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q36,q5,p14,p3,p12) 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1144 and e_686. e_686: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q53,q36,p14,p10,p8,p12) is replaced by e_1810: 0=q53*p8*(2*p10 + 3*p12) e_1810 is a consequence of e_1715. 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1144 and e_1659. e_1659: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q53,q36,p14,p10,p8,p12) is replaced by e_1263: 0=q53*p8*(2*p10 + 3*p12) e_1263 is a consequence of e_1715. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 772 4-Oct-2003 13:14:32, 80 ms (0%), 1494960 occupied, 23504974 free *** Garbage collection starting *** GC 773 4-Oct-2003 13:14:39, 130 ms (0%), 1495722 occupied, 23504209 free Eliminate q36 from e_1714 and e_1530. e_1530: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q39,q36,q5,p14,p10,p12 ,p12) is replaced by e_1811: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q5,p14,p12) 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 : 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_1652 is a consequence of e_1595. *** Garbage collection starting *** GC 774 4-Oct-2003 13:14:47, 70 ms (0%), 1477487 occupied, 23522457 free Substitution of q5 by an expression in q39, p14, p12 found in e_1811 : 7 factors in 3 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 1 term 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 1 term 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 1 term e_1302 is a consequence of e_1830. 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1437 and e_1492. e_1492: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q39,q36,p14,p3,p12) is replaced by e_855: 0=q36*p3*(5*p12 - 6*p14) 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1437 and e_1618. e_1618: 3 terms, 9 factors, with derivatives of functions of all variables: (q39,q36,p14,p3,p1,p12) is replaced by e_1673: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q36,p14,p3,p1,p12) 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1437 and e_147. e_147: 4 terms, 12 factors, with derivatives of functions of all variables: (q39,q36,p14,p3,p1,p12) is replaced by e_1711: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q36,p14,p3,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 775 4-Oct-2003 13:14:53, 100 ms (0%), 1498911 occupied, 23501020 free *** Garbage collection starting *** GC 776 4-Oct-2003 13:15:00, 80 ms (0%), 1579436 occupied, 23420469 free Eliminate q33 from e_1310 and e_1307. e_1307: 0=p16*q17 + 14*p4*q33 is replaced by e_1791: 0=(q15 - 3*q17)*p16 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 777 4-Oct-2003 13:15:08, 90 ms (0%), 1571614 occupied, 23428293 free Eliminate q39 from e_1437 and e_1764. e_1764: 6 terms, 18 factors, with derivatives of functions of all variables: (q39,q36,p14,p3,p1,p12) is replaced by e_1729: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q36,p14,p3,p1,p12) 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1649 and e_1342. e_1342: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q19,q16,p10 ,p10,p12 ,p12) is replaced by e_1782: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1714 and e_1826. e_1826: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_1360: (#) 6 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q39,q10,p14 ,p14,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 778 4-Oct-2003 13:15:15, 110 ms (0%), 1541501 occupied, 23458420 free Eliminate q53 from e_1547 and e_1053. e_1053: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q53,q39,q19,p14 ,p14,p10,p12 ,p12) is replaced by e_1660: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q39,q19,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1649 and e_1666. e_1666: 9 terms, 27 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q19,q16,p10 ,p10,p12 ,p12) is replaced by e_1759: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1759 and e_1782. e_1759: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p12 ,p12) is replaced by e_1638: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q16,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1638 and e_1782. e_1782: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p12 ,p12) is replaced by e_1697: (#) 4 terms, 6 factors, with derivatives of functions of all variables: 2 2 (q53,q16,p10 ,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 779 4-Oct-2003 13:15:23, 80 ms (0%), 1480622 occupied, 23519319 free *** Garbage collection starting *** GC 780 4-Oct-2003 13:15:30, 80 ms (0%), 1484907 occupied, 23515032 free Eliminate q39 from e_1437 and e_1716. e_1716: 4 terms, 12 factors, with derivatives of functions of all variables: (q39,q36,q10,p14,p3,p1,p12) is replaced by e_1325: 4 terms, 12 factors, with derivatives of functions of all variables: (q36,q10,p14,p3,p1,p12) 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 : --- Length reducing decoupling steps : Eliminate q40 from e_1241 and e_1292. e_1292: 6 terms, 12 factors, with derivatives of functions of all variables: (q44,q42,q40,q17,q11,p3,p1) is replaced by e_505: 5 terms, 10 factors, with derivatives of functions of all variables: (q44,q42,q17,q11,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 781 4-Oct-2003 13:15:38, 80 ms (0%), 1512766 occupied, 23487167 free Eliminate q44 from e_618 and e_505. e_505: 5 terms, 10 factors, with derivatives of functions of all variables: (q44,q42,q17,q11,p3,p1) is replaced by e_1775: 4 terms, 8 factors, with derivatives of functions of all variables: (q42,q17,q11,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1649 and e_1154. e_1154: 5 terms, 15 factors, with derivatives of functions of all variables: (q48,q19,q16,q10,p14,p10,p12) is replaced by e_1688: 0=2*p10*q10 - 3*p14*q16 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1264 and e_1183. e_1183: 6 terms, 12 factors, with derivatives of functions of all variables: (q44,q42,q40,q15,q13,p3,p1) is replaced by e_1768: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q42,q40,q15,q13,p3) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 782 4-Oct-2003 13:15:46, 120 ms (0%), 1471845 occupied, 23528097 free Eliminate q53 from e_1547 and e_1610. e_1610: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q53,q19,q10,p14,p10,p4,p12 ,p12) is replaced by e_1671: 0=q10*(p12 - 2*p4) 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 2 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1144 and e_1789. e_1789: 5 terms, 15 factors, with derivatives of functions of all variables: (q53,q36,q19,p14,p10,p8,p12) is replaced by e_1162: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q53,q19,p14,p10,p12) e_1162 is a consequence of e_1547. 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 : --- Length reducing decoupling steps : Eliminate q44 from e_618 and e_1284. e_1284: 7 terms, 14 factors, with derivatives of functions of all variables: (q44,q42,q40,q15,q11,p3,p1) is replaced by e_1742: 6 terms, 12 factors, with derivatives of functions of all variables: (q42,q40,q15,q11,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1437 and e_1601. e_1601: 7 terms, 21 factors, with derivatives of functions of all variables: (q39,q36,q4,p14,p3,p1,p12) is replaced by e_1762: 5 terms, 15 factors, with derivatives of functions of all variables: (q36,q4,p14,p3,p1,p12) 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 783 4-Oct-2003 13:15:53, 110 ms (0%), 1579190 occupied, 23420721 free Eliminate q19 from e_1638 and e_1603. e_1603: 6 terms, 18 factors, with derivatives of functions of all variables: (q48,q19,q16,p10,p3,p1,p12) is replaced by e_849: 5 terms, 15 factors, with derivatives of functions of all variables: (q48,q16,p10,p3,p1,p12) 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 q36 from e_1714 and e_1392. e_1392: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q53,q39,q36,q19,p14 ,p14,p10,p12 ,p12) is replaced by e_1648: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q39,q19,p14 ,p14,p10,p12 ,p12) 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 : Eliminate q53 from e_1547 and e_1648. e_1648: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q39,q19,p14 ,p14,p10,p12 ,p12) is replaced by e_1818: 0=q39*(p12 - 2*p14)*(p12 - p14) Step 2216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1818 and e_1360. e_1360: (#) 6 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q39,q10,p14 ,p14,p12 ,p12) is replaced by e_1390: 0=q10*(p12 - p14) 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 : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 784 4-Oct-2003 13:16:01, 80 ms (0%), 1471051 occupied, 23528889 free shortening by 2 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q39 from e_1818 and e_1701. e_1701: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q53,q39,q36,p14 ,p14,p10,p12 ,p12) is replaced by e_1767: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q53,q36,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 785 4-Oct-2003 13:16:08, 100 ms (0%), 1475357 occupied, 23524584 free Eliminate q51 from e_1772 and e_1641. e_1641: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q53,q51,q19,p10,p4,p1,p12 ,p12) is replaced by e_1787: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q53,q19,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 786 4-Oct-2003 13:16:16, 110 ms (0%), 1489613 occupied, 23510318 free *** Garbage collection starting *** GC 787 4-Oct-2003 13:16:24, 100 ms (0%), 1544811 occupied, 23455102 free *** Garbage collection starting *** GC 788 4-Oct-2003 13:16:33, 80 ms (0%), 1497612 occupied, 23502316 free Eliminate q55 from e_1624 and e_1527. e_1527: 4 terms, 8 factors, with derivatives of functions of all variables: (q57,q55,q32,p3,p1) is replaced by e_1597: 4 terms, 8 factors, with derivatives of functions of all variables: (q57,q32,q30,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1644 and e_1597. e_1597: 4 terms, 8 factors, with derivatives of functions of all variables: (q57,q32,q30,p3,p1) is replaced by e_1771: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q30,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q32 from e_1771 and e_1429. e_1771: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q30,p3,p1) is replaced by e_1721: 0=q30*(3*p1 + 7*p3) 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 : --- Length reducing decoupling steps : Eliminate q30 from e_1721 and e_1644. e_1644: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q30,p3,p1) is replaced by e_997: 0=p3*q57 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 789 4-Oct-2003 13:16:40, 110 ms (0%), 1492409 occupied, 23507517 free *** Garbage collection starting *** GC 790 4-Oct-2003 13:16:49, 100 ms (0%), 1478448 occupied, 23521491 free *** Garbage collection starting *** GC 791 4-Oct-2003 13:16:57, 80 ms (0%), 1477331 occupied, 23522607 free Eliminate q42 from e_1775 and e_618. e_618: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q42,q11,p3,p1) is replaced by e_1675: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q17,q11,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 792 4-Oct-2003 13:17:05, 100 ms (0%), 1530117 occupied, 23469798 free *** Garbage collection starting *** GC 793 4-Oct-2003 13:17:13, 90 ms (0%), 1531055 occupied, 23468863 free Eliminate q53 from e_1547 and e_1717. e_1717: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q36,p14 ,p14,p10,p12 ,p12) is replaced by e_1785: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q36,q19,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 794 4-Oct-2003 13:17:21, 110 ms (0%), 1509004 occupied, 23490922 free Eliminate q48 from e_1649 and e_1710. e_1710: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q48,q40,q19,q16,q11,p16,p10,p12) is replaced by e_1799: 0=(q11 - q40)*p10 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 : --- Length reducing decoupling steps : Eliminate q48 from e_1649 and e_1712. e_1712: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q48,q39,q19,q16,q10,p14,p10,p12) is replaced by e_1646: 0=(q10 - q39)*p10 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 : *** Garbage collection starting *** GC 795 4-Oct-2003 13:17:30, 70 ms (0%), 1475265 occupied, 23524676 free --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q39 from e_1646 and e_1623. e_1623: 6 terms, 18 factors, with derivatives of functions of all variables: (q48,q39,q19,q16,q10,p14,p10,p12) is replaced by e_1749: 5 terms, 15 factors, with derivatives of functions of all variables: (q48,q19,q16,q10,p14,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_1688 and e_1749. e_1749: 5 terms, 15 factors, with derivatives of functions of all variables: (q48,q19,q16,q10,p14,p10,p12) is replaced by e_1832: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q48,q19,q10,p14,p10 ,p10) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 796 4-Oct-2003 13:17:38, 100 ms (0%), 1476327 occupied, 23523615 free Eliminate q16 from e_1688 and e_1819. e_1819: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q39,q36,q16,q10,p14 ,p14,p10,p4,p12) is replaced by e_1478: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q39,q36,q10,p14 ,p14,p10,p4,p12) 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 : --- Length reducing decoupling steps : Eliminate q36 from e_1714 and e_1478. e_1478: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q39,q36,q10,p14 ,p14,p10,p4,p12) is replaced by e_1751: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q39,q10,p14 ,p14,p10,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 797 4-Oct-2003 13:17:46, 100 ms (0%), 1484012 occupied, 23515925 free Eliminate q16 from e_1688 and e_1313. e_1313: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q19,q16,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_1168: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q19,q10,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 798 4-Oct-2003 13:17:55, 80 ms (0%), 1521637 occupied, 23478285 free Eliminate q51 from e_1772 and e_1748. e_1748: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q53,q51,q19,q16,p10 ,p10,p4,p1,p12 ,p12) is replaced by e_1754: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1665 and e_1754. e_1754: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q53,q19,q16,p10 ,p10,p4,p12 ,p12) is replaced by e_1829: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,p10,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 799 4-Oct-2003 13:18:03, 100 ms (0%), 1531041 occupied, 23468872 free *** Garbage collection starting *** GC 800 4-Oct-2003 13:18:11, 110 ms (0%), 1508107 occupied, 23491823 free Eliminate q53 from e_1636 and e_1803. e_1803: 12 terms, 36 factors, with derivatives of functions of all variables: (q53,q48,q19,q16,p10,p3,p1,p12) is replaced by e_939: 10 terms, 30 factors, with derivatives of functions of all variables: (q48,q19,q16,p10,p3,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 801 4-Oct-2003 13:18:20, 110 ms (0%), 1564669 occupied, 23435237 free *** Garbage collection starting *** GC 802 4-Oct-2003 13:18:29, 110 ms (0%), 1503494 occupied, 23496439 free Eliminate q39 from e_1732 and e_1664. e_1664: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q19,p14 ,p14,p10,p8,p4,p12 ,p12) is replaced by e_1421: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q36,q19,p14 ,p14,p10,p8,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 803 4-Oct-2003 13:18:37, 100 ms (0%), 1511910 occupied, 23488017 free *** Garbage collection starting *** GC 804 4-Oct-2003 13:18:46, 100 ms (0%), 1481336 occupied, 23518604 free Eliminate q17 from e_1791 and e_324. e_324: 3 terms, 9 factors, with derivatives of functions of all variables: (q33,q17,p16,p3,p1,p12) is replaced by e_1643: 3 terms, 9 factors, with derivatives of functions of all variables: (q33,q15,p16,p3,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 805 4-Oct-2003 13:18:55, 100 ms (0%), 1524293 occupied, 23475626 free Eliminate q17 from e_1791 and e_1164. e_1164: 3 terms, 9 factors, with derivatives of functions of all variables: (q33,q17,p16,p3,p1,p12) is replaced by e_1620: 3 terms, 9 factors, with derivatives of functions of all variables: (q33,q15,p16,p3,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 806 4-Oct-2003 13:19:03, 100 ms (0%), 1550754 occupied, 23449159 free Eliminate q19 from e_1638 and e_1702. e_1702: 4 terms, 8 factors, with derivatives of functions of all variables: (q51,q19,q16,p10,p4,p1) is replaced by e_1812: 4 terms, 8 factors, with derivatives of functions of all variables: (q51,q16,p10,p4,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 807 4-Oct-2003 13:19:12, 100 ms (0%), 1508134 occupied, 23491798 free *** Garbage collection starting *** GC 808 4-Oct-2003 13:19:21, 100 ms (0%), 1521648 occupied, 23478275 free Eliminate q53 from e_1697 and e_1766. e_1766: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q53,q51,q19,p10 ,p10,p1,p12) is replaced by e_1659: 4 terms, 8 factors, with derivatives of functions of all variables: (q51,q19,q16,p10,p1,p12) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1638 and e_1659. e_1659: 4 terms, 8 factors, with derivatives of functions of all variables: (q51,q19,q16,p10,p1,p12) is replaced by e_1811: 0=p1*q51 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 1 term 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 0 terms 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1773 and e_1665. e_1665: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q19,p10 ,p10,p4,p12 ,p12) is replaced by e_1821: 0=q19*(p10 + 2*p4) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 809 4-Oct-2003 13:19:29, 110 ms (0%), 1508876 occupied, 23491046 free *** Garbage collection starting *** GC 810 4-Oct-2003 13:19:38, 100 ms (0%), 1548438 occupied, 23451473 free *** Garbage collection starting *** GC 811 4-Oct-2003 13:19:47, 100 ms (0%), 1500313 occupied, 23499619 free Eliminate q53 from e_1790 and e_1695. e_1695: 5 terms, 15 factors, with derivatives of functions of all variables: (q53,q43,q19,p16,p10,p4,p1,p12) is replaced by e_1776: 0=q43*(p12 - 2*p4)*p1 e_1776 is a consequence of e_1692. 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1775 and e_1274. e_1274: 5 terms, 10 factors, with derivatives of functions of all variables: (q42,q40,q13,q11,p3,p1) is replaced by e_1187: 5 terms, 10 factors, with derivatives of functions of all variables: (q40,q17,q13,q11,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 812 4-Oct-2003 13:19:56, 100 ms (0%), 1480499 occupied, 23519440 free Eliminate q42 from e_1775 and e_1742. e_1742: 6 terms, 12 factors, with derivatives of functions of all variables: (q42,q40,q15,q11,p3,p1) is replaced by e_1647: 5 terms, 10 factors, with derivatives of functions of all variables: (q40,q17,q15,q11,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 813 4-Oct-2003 13:20:05, 80 ms (0%), 1528087 occupied, 23471829 free Eliminate q19 from e_1829 and e_1817. e_1817: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q19,q16,p10 ,p10,p12 ,p12) is replaced by e_1618: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q16,p10 ,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 814 4-Oct-2003 13:20:14, 100 ms (0%), 1510573 occupied, 23489355 free *** Garbage collection starting *** GC 815 4-Oct-2003 13:20:23, 110 ms (0%), 1545289 occupied, 23454608 free *** Garbage collection starting *** GC 816 4-Oct-2003 13:20:32, 80 ms (0%), 1501065 occupied, 23498866 free Eliminate q16 from e_1688 and e_1661. e_1661: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q48,q39,q36,q19,q16,q10,p14,p10,p12 ,p12) is replaced by e_735: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q48,q39,q36,q19,q10,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 817 4-Oct-2003 13:20:41, 110 ms (0%), 1516493 occupied, 23483434 free Eliminate q48 from e_1357 and e_735. e_735: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q48,q39,q36,q19,q10,p14,p10,p12 ,p12) is replaced by e_147: 6 terms, 12 factors, with derivatives of functions of all variables: (q39,q36,q19,q10,p14,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1709 and e_1632. e_1632: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q58,q57,q39,q36,p16,p14,p3,p1,p12 ,p12) is replaced by e_872: 6 terms, 18 factors, with derivatives of functions of all variables: (q58,q39,q36,p16,p14,p3,p1,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 818 4-Oct-2003 13:20:50, 80 ms (0%), 1494193 occupied, 23505738 free Eliminate q36 from e_1714 and e_838. e_838: 12 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q39,q36,q19,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_1307: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q39,q19,q10,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 819 4-Oct-2003 13:21:00, 110 ms (0%), 1541827 occupied, 23458079 free Eliminate q53 from e_1547 and e_1307. e_1307: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q53,q48,q39,q19,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_523: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q48,q39,q19,q10,p14 ,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 820 4-Oct-2003 13:21:09, 90 ms (0%), 1523148 occupied, 23476769 free Eliminate q53 from e_1780 and e_1828. e_1828: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q53,q39,q36,q19,p14,p10,p8,p4,p12 ,p12) is replaced by e_1735: (#) 8 terms, 6 factors, with derivatives of functions of all variables: 2 (q39,q36,p14,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 821 4-Oct-2003 13:21:18, 100 ms (0%), 1507775 occupied, 23492152 free *** Garbage collection starting *** GC 822 4-Oct-2003 13:21:28, 80 ms (0%), 1505812 occupied, 23494119 free *** Garbage collection starting *** GC 823 4-Oct-2003 13:21:37, 110 ms (0%), 1519176 occupied, 23480749 free Eliminate q17 from e_1791 and e_1418. e_1418: 4 terms, 12 factors, with derivatives of functions of all variables: (q40,q33,q17,q11,p16,p10,p12) is replaced by e_1419: 4 terms, 12 factors, with derivatives of functions of all variables: (q40,q33,q15,q11,p16,p10,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 824 4-Oct-2003 13:21:47, 110 ms (0%), 1511064 occupied, 23488867 free *** Garbage collection starting *** GC 825 4-Oct-2003 13:21:57, 100 ms (0%), 1540461 occupied, 23459438 free *** Garbage collection starting *** GC 826 4-Oct-2003 13:22:06, 100 ms (0%), 1504806 occupied, 23495132 free Eliminate q47 from e_1763 and e_1758. e_1758: 6 terms, 12 factors, with derivatives of functions of all variables: (q47,q17,q15,p10,p4,p3,p12) is replaced by e_1598: 6 terms, 12 factors, with derivatives of functions of all variables: (q17,q15,q13,p10,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 827 4-Oct-2003 13:22:16, 80 ms (0%), 1532444 occupied, 23467466 free *** Garbage collection starting *** GC 828 4-Oct-2003 13:22:26, 80 ms (0%), 1510534 occupied, 23489394 free *** Garbage collection starting *** GC 829 4-Oct-2003 13:22:36, 100 ms (0%), 1499949 occupied, 23499985 free Eliminate q58 from e_1543 and e_1813. e_1813: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q32,q30,p14,p10,p3,p12) is replaced by e_584: 7 terms, 14 factors, with derivatives of functions of all variables: (q32,q31,q30,p14,p10,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 830 4-Oct-2003 13:22:45, 100 ms (0%), 1488954 occupied, 23510984 free Eliminate q58 from e_1704 and e_1719. e_1719: 8 terms, 24 factors, with derivatives of functions of all variables: (q58,q56,q51,q43,q37,p16,p14,p8,p4,p12) is replaced by e_1602: 8 terms, 24 factors, with derivatives of functions of all variables: (q56,q51,q43,q37,p16,p14,p8,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 831 4-Oct-2003 13:22:55, 100 ms (0%), 1489643 occupied, 23510296 free *** Garbage collection starting *** GC 832 4-Oct-2003 13:23:05, 110 ms (0%), 1538101 occupied, 23461804 free Eliminate q53 from e_1752 and e_1757. e_1757: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q53,q19,q13,p16,p10,p4,p12 ,p12) is replaced by e_1495: 0=(q11 + q13)*(p12 - 2*p4) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1409 and e_523. e_523: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q48,q39,q19,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_1342: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q48,q39,q10,p14 ,p14,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 833 4-Oct-2003 13:23:15, 100 ms (0%), 1532601 occupied, 23467301 free Eliminate q19 from e_1409 and e_1168. e_1168: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q19,q10,p14 ,p14,p10,p12 ,p12) is replaced by e_1826: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q39,q36,q10,p14 ,p14,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 834 4-Oct-2003 13:23:25, 90 ms (0%), 1488390 occupied, 23511544 free Eliminate q58 from e_872 and e_1131. e_1131: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q58,q55,q39,q36,q31,p16,p14,p3,p1,p12 ,p12) is replaced by e_1559: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q55,q39,q36,q31,p16,p14,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1559 and e_1067. e_1067: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q58,q55,q39,q36,q31,p16,p14,p1,p12 ,p12) is replaced by e_1655: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q58,q39,q31,p16,p14,p1,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1801 and e_1655. e_1801: 4 terms, 12 factors, with derivatives of functions of all variables: (q58,q39,q31,p16,p14,p10,p1,p12) is replaced by e_1053: 0=q31*(p10 - p12 + p14) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 835 4-Oct-2003 13:23:35, 80 ms (0%), 1514205 occupied, 23485725 free *** Garbage collection starting *** GC 836 4-Oct-2003 13:23:46, 80 ms (0%), 1521362 occupied, 23478559 free *** Garbage collection starting *** GC 837 4-Oct-2003 13:23:56, 100 ms (0%), 1542269 occupied, 23457634 free *** Garbage collection starting *** GC 838 4-Oct-2003 13:24:07, 90 ms (0%), 1524881 occupied, 23475043 free Eliminate q19 from e_1829 and e_1636. e_1636: 6 terms, 12 factors, with derivatives of functions of all variables: (q53,q48,q19,p10,p12) is replaced by e_1759: 6 terms, 12 factors, with derivatives of functions of all variables: (q53,q48,q16,p10,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 839 4-Oct-2003 13:24:17, 100 ms (0%), 1490178 occupied, 23509759 free *** Garbage collection starting *** GC 840 4-Oct-2003 13:24:28, 100 ms (0%), 1495743 occupied, 23504192 free Eliminate q17 from e_1791 and e_1200. e_1200: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q42,q33,q17,q13,q11,p16,p10,p12 ,p12) is replaced by e_1391: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q42,q33,q15,q13,q11,p16,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 841 4-Oct-2003 13:24:38, 100 ms (0%), 1488930 occupied, 23511003 free Eliminate q42 from e_21 and e_1391. e_1391: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q42,q33,q15,q13,q11,p16,p10,p12 ,p12) is replaced by e_524: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q33,q17,q15,q13,q11,p16,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q17 from e_1791 and e_524. e_524: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q33,q17,q15,q13,q11,p16,p10,p12 ,p12) is replaced by e_1782: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q33,q15,q13,q11,p16,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 842 4-Oct-2003 13:24:49, 80 ms (0%), 1481498 occupied, 23518439 free Eliminate q58 from e_1726 and e_1645. e_1645: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q58,q57,q44,q39,q36,q10,p16,p14,p10,p3,p12 ,p12) is replaced by e_1654: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q57,q44,q39,q36,q10,p16,p14,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 843 4-Oct-2003 13:25:00, 80 ms (0%), 1528493 occupied, 23471428 free Eliminate q39 from e_1735 and e_1780. e_1780: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q53,q39,q19,p14,p10,p8,p4,p12 ,p12) is replaced by e_1744: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q53,q36,q19,p14,p10,p8,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1744 and e_1777. e_1744: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q53,q36,q19,p14,p10,p8,p4,p12 ,p12) is replaced by e_1716: (#) 4 terms, 5 factors, with derivatives of functions of all variables: 2 (q36,p14,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 844 4-Oct-2003 13:25:11, 80 ms (0%), 1483849 occupied, 23516085 free Eliminate q36 from e_1716 and e_1777. e_1777: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q53,q36,q19,p14,p10,p8,p4,p12 ,p12) is replaced by e_1155: 5 terms, 15 factors, with derivatives of functions of all variables: (q53,q19,p14,p10,p8,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 845 4-Oct-2003 13:25:22, 110 ms (0%), 1509402 occupied, 23490529 free *** Garbage collection starting *** GC 846 4-Oct-2003 13:25:33, 80 ms (0%), 1493456 occupied, 23506478 free *** Garbage collection starting *** GC 847 4-Oct-2003 13:25:45, 80 ms (0%), 1475494 occupied, 23524445 free *** Garbage collection starting *** GC 848 4-Oct-2003 13:25:56, 110 ms (0%), 1503318 occupied, 23496614 free Eliminate q48 from e_1649 and e_1807. e_1807: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q53,q48,q44,q40,q19,q17,q16,q15,q13,p16,p10,p12 ,p12) is replaced by e_1737: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q53,q44,q40,q19,q17,q16,q15,q13,p16,p10,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 849 4-Oct-2003 13:26:08, 80 ms (0%), 1506362 occupied, 23493565 free *** Garbage collection starting *** GC 850 4-Oct-2003 13:26:19, 90 ms (0%), 1525278 occupied, 23474638 free *** Garbage collection starting *** GC 851 4-Oct-2003 13:26:31, 80 ms (0%), 1502935 occupied, 23496992 free *** Garbage collection starting *** GC 852 4-Oct-2003 13:26:43, 90 ms (0%), 1513644 occupied, 23486282 free *** Garbage collection starting *** GC 853 4-Oct-2003 13:26:56, 110 ms (0%), 1491930 occupied, 23508007 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1595 we get the alternative equations : 0=p1 0=q39 New level : 1.1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_1954 : 0=p1 e_272,e_1692,e_1241,e_97,e_1625,e_1628,e_1631,e_1619,e_1685,e_1668,e_1472,e_1677 ,e_1793,e_1657,e_1811 are consequences of e_1954 Step 2282: Hot list of urgent steps : 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: q58,q57,q56,q55,q54,q53,q51,q48,q47,q44,q43,q42,q40,q39,q37,q36, q34,q33,q32,q31,q30,q28,q19,q17,q16,q15,q13,q11,q10,q4,p16,p14,p10,p8,p4,p3,p1, p12 New ordering: q58,q57,q56,q55,q54,q53,q51,q48,q47,q44,q43,q42,q40,q39,q37,q36, q34,q33,q32,q31,q30,q28,q19,q17,q16,q15,q13,q11,q10,q4,p16,p14,p10,p8,p4,p1,p3, p12 e_1393,e_914,e_1684 are consequences of e_1770 e_1615,e_1599,e_1289,e_1738 are consequences of e_1423 e_1784 is a consequence of e_1683.e_68,e_893,e_1681,e_1725 are consequences of e_1784 e_1086,e_886 are consequences of e_1819 e_1671,e_1390,e_1693 are consequences of e_1478 e_1716,e_1714,e_1144 are consequences of e_1313 e_1484 is a consequence of e_1423. e_1626 is a consequence of e_1423.e_1718 is a consequence of e_1731 e_1164 is a consequence of e_1731. e_1530 is a consequence of e_1819. e_1659 is a consequence of e_1652.e_1658,e_1814 are consequences of e_1796 e_1776 is a consequence of e_1649. Substitution of p1 found in e_1954 : p1=0 Step 2283: Hot list 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 28 terms Substitution of q56 found in e_1179 : q56=0 Step 2284: Hot list 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 25 terms Substitution of q54 found in e_1683 : q54=0 Step 2285: Hot list 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 24 terms Substitution of q37 found in e_1594 : q37=0 Step 2286: Hot list 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_735 is a consequence of e_1769. e_1492 is a consequence of e_1674. Substitution of q34 found in e_1497 : q34=0 Step 2287: Hot list 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_1418 is a consequence of e_1674. e_1813 is a consequence of e_1674. e_1719 is a consequence of e_1674. e_1757 is a consequence of e_1674. e_1764 is a consequence of e_1674. e_1817 is a consequence of e_1674. Substitution of q51 found in e_1769 : q51=0 Step 2288: Hot list 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 Substitution of q43 found in e_1674 : q43=0 Step 2289: Hot list 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 15 terms *** Garbage collection starting *** GC 854 4-Oct-2003 13:26:59, 70 ms (0%), 1471000 occupied, 23528941 free Substitution of q57 found in e_997 : q57=0 Step 2290: Hot list 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 17 terms e_1299,e_1270,e_1529 are consequences of e_1702 e_1053,e_1431,e_989,e_1181 are consequences of e_1634 e_1288 is a consequence of e_1777 Substitution of q30 found in e_1770 : q30=0 Step 2291: Hot list 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 16 terms e_1803 is a consequence of e_1624. e_1795 is a consequence of e_1777. Substitution of q28 found in e_1423 : q28=0 Step 2292: Hot list 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_1610 is a consequence of e_1263. e_1730 is a consequence of e_1624.e_1463 is a consequence of e_487 e_1286 is a consequence of e_487. Substitution of q33 found in e_1819 : q33=0 Step 2293: Hot list 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 21 terms e_855,e_1313,e_324,e_1417 are consequences of e_1656 e_1754 is a consequence of e_1656.e_1596 is a consequence of e_1601 e_1606 is a consequence of e_1702. e_1603 is a consequence of e_1796. Substitution of q10 found in e_1478 : q10=0 Step 2294: Hot list 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_1527 is a consequence of e_1652. e_1489 is a consequence of e_1713. Substitution of q11 found in e_1731 : q11=0 Step 2295: Hot list 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 e_1162 is a consequence of e_1263. Substitution of q40 found in e_1652 : q40=0 Step 2296: Hot list 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 12 terms e_1392 is a consequence of e_1653 e_1274 is a consequence of e_1653. Substitution of q16 found in e_1796 : q16=0 Step 2297: Hot list 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 18 terms e_1748 is a consequence of e_1634. e_1067 is a consequence of e_1634. e_1807 is a consequence of e_1292. e_1831 is a consequence of e_1634. e_1786 is a consequence of e_1777. e_1639 is a consequence of e_1634. Substitution of q32 found in e_1702 : q32=0 Step 2298: Hot list 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 17 terms e_1744 is a consequence of e_1624. e_1712 is a consequence of e_1292.e_1422,e_1629 are consequences of e_1724 e_1391 is a consequence of e_1200. e_1190 is a consequence of e_1777. e_1772 is a consequence of e_1200. Substitution of q31 found in e_1634 : q31=0 Step 2299: Hot list 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_1200,e_1809 are consequences of e_1526 e_1623 is a consequence of e_1801. e_1687 is a consequence of e_1777. e_1701 is a consequence of e_1526. Substitution of q55 found in e_1624 : q55=0 Step 2300: Hot list 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 10 terms The list of inequalities got extended by: An expression with 9 terms e_1449,e_1600,e_1662,e_1490,e_1642,e_1678 are consequences of e_1806 e_1818,e_1830,e_1360,e_1601,e_1526 are consequences of e_1437 e_1636 is a consequence of e_1183. e_935 is a consequence of e_1437. e_1801 is a consequence of e_1437. e_1236 is a consequence of e_1806. e_1749 is a consequence of e_1437. e_1833 is a consequence of e_1437. e_1760 is a consequence of e_1437. e_1834 is a consequence of e_1648. e_1836 is a consequence of e_1648. Substitution of q36 found in e_1656 : q36=0 Step 2301: Hot list 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 8 terms e_1765 is a consequence of e_1437. e_513 is a consequence of e_1437. e_1087 is a consequence of e_1437. Substitution of q58 found in e_1724 : q58=0 Step 2302: Hot list 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 7 terms Substitution of q4 found in e_1806 : q4=0 Step 2303: Hot list 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 10 terms The list of inequalities got extended by: g0029*p14 + g0030*p8 e_1778 is a consequence of e_1648. e_1794 is a consequence of e_1780. e_1645 is a consequence of e_1607. e_524 is a consequence of e_1607. e_1482 is a consequence of e_1780. e_1557 is a consequence of e_1183. e_1824 is a consequence of e_1810. e_1641 is a consequence of e_901. e_1838 is a consequence of e_1648. e_1839 is a consequence of e_1648. Substitution of q39 found in e_1437 : q39=0 Step 2304: Hot list 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_1780 is a consequence of e_1183. Substitution of q42 by an expression in q13 found in e_1810 : q42=q13 Step 2305: Hot list 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_1263 is a consequence of e_1789. e_1292 is a consequence of e_1183. e_1845 is a consequence of e_1689. e_505 is a consequence of e_1183. e_1664 is a consequence of e_1637. e_1284 is a consequence of e_1789. Substitution of q15 by an expression in q13 found in e_1768 : q15=q13 Step 2306: Hot list 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_1607 is a consequence of e_1183. e_1755 is a consequence of e_1183.e_1766,e_1242,e_1403,e_1777,e_487 are consequences of e_1812 e_1823 is a consequence of e_1812. Substitution of q44 by an expression in q13 found in e_686 : q44=3*q13 Step 2307: Hot list 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 7 terms e_1154 is a consequence of e_1183. e_1248 is a consequence of e_1789. e_1644 is a consequence of e_1789. e_1774 is a consequence of e_1789. e_1846 is a consequence of e_1789. e_1666 is a consequence of e_1183. e_1733 is a consequence of e_1183. e_1597 is a consequence of e_1789. Substitution of q17 found in e_1812 : q17=0 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 : The list of inequalities got extended by: An expression with 10 terms e_1253 is a consequence of e_1669 Substitution of q48 by an expression in q53, q19, p10, p12 found in e_1797 : 14 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 7 terms e_1798,e_618,e_1648,e_1883 are consequences of e_1788 e_1884 is a consequence of e_1788. e_1885 is a consequence of e_1788. *** Garbage collection starting *** GC 855 4-Oct-2003 13:27:03, 70 ms (0%), 1462168 occupied, 23537773 free e_1886 is a consequence of e_1788. e_1627 is a consequence of e_1788.e_1835 is a consequence of e_901 e_1650,e_1820,e_1672,e_1536 are consequences of e_1713 e_1887 is a consequence of e_901. e_1888 is a consequence of e_1788. e_1717 is a consequence of e_1788. Substitution of q19 by an expression in q53, p10, p12 found in e_1669 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 9 terms e_1302 is a consequence of e_1689. e_1779 is a consequence of e_1637. Substitution of q47 by an expression in q13, p10, p4, p3, p12 found in e_1847 : 11 factors in 4 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 e_1909 is a consequence of e_1680. 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 : shortening by 2 terms Step 2316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_1918 is a consequence of e_1916. 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 : --- Algebraic length reduction of equations : shortening by 1 term e_1919 is a consequence of e_1715. 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 4 terms 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 2 terms 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 2 terms e_1924 is a consequence of e_1689. 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 e_1686 is a consequence of e_1925 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 3 terms e_1890,e_1783,e_1698,e_1788,e_901,e_1713,e_1925,e_1927 are consequences of e_1929 Step 2325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q13 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q53,q13,p16,p14,p10,p8,p4,p3,p12 New ordering: q53,q13,p16,p14,p8,p4,p10,p3,p12 The list of inequalities got extended by: p4 The list of inequalities got extended by: An expression with 5 terms Substitution of q53 found in e_1929 : q53=0 Step 2326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q13,p16,p14,p8,p4,p10,p3,p12 New ordering: q13,p16,p8,p14,p4,p10,p3,p12 Substitution of p8 found in e_1689 : p8=0 Step 2327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0099*p14 + g0101*p12 + g0103*p10 Substitution of p16 found in e_1789 : p16=0 Step 2328: 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: g0101*p12 + g0103*p10 Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p1 New level : 1.1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_1954 : 0=q39 e_1818,e_1830,e_1596 are consequences of e_1954 Step 2329: 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 19 terms The list of inequalities got extended by: An expression with 26 terms e_1770 is a consequence of e_1793.e_855 is a consequence of e_1423 e_1784 is a consequence of e_1716. e_1748 is a consequence of e_1793. e_1417 is a consequence of e_1626. Substitution of q39 found in e_1954 : q39=0 Step 2330: Hot list 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 25 terms e_1288 is a consequence of e_1274 Substitution of q31 found in e_1619 : q31=0 Step 2331: Hot list 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 20 terms Substitution of q54 found in e_1685 : q54=0 Step 2332: Hot list 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 24 terms Substitution of q56 found in e_1668 : q56=0 Step 2333: Hot list 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 23 terms Substitution of q37 found in e_1472 : q37=0 Step 2334: Hot list 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 20 terms e_1707 is a consequence of e_1811. Substitution of q34 found in e_1677 : q34=0 Step 2335: Hot list 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 12 terms e_1673,e_1711,e_1729,e_1716,e_1819,e_1714,e_1144,e_1423 are consequences of e_1611 e_735 is a consequence of e_1611. e_1563 is a consequence of e_1611. e_1409 is a consequence of e_1626. e_1325 is a consequence of e_1611. Substitution of q10 found in e_1793 : q10=0 Step 2336: Hot list 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 11 terms e_1806 is a consequence of e_1611. e_1762 is a consequence of e_1611. Substitution of q4 found in e_1657 : q4=0 Step 2337: Hot list 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_1691 is a consequence of e_1692. e_1741 is a consequence of e_1692. e_1690 is a consequence of e_1706. e_1690 is a consequence of e_1692. e_1739 is a consequence of e_1692. e_1670 is a consequence of e_1692. Substitution of q51 found in e_1811 : q51=0 Step 2338: Hot list 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 17 terms e_1704 is a consequence of e_1706. e_523 is a consequence of e_1611. e_1168 is a consequence of e_1611. Substitution of q58 found in e_513 : q58=0 Step 2339: Hot list 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 16 terms e_838 is a consequence of e_1626. e_1326 is a consequence of e_1632. e_1785 is a consequence of e_1626. e_1421 is a consequence of e_1626. Substitution of q36 found in e_1611 : q36=0 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 : The list of inequalities got extended by: An expression with 16 terms e_1208 is a consequence of e_97. Substitution of q40 by an expression in q11 found in e_1241 : q40=q11 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 : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 16 terms *** Garbage collection starting *** GC 856 4-Oct-2003 13:27:07, 60 ms (0%), 1255121 occupied, 23744831 free e_1615,e_1617,e_1599,e_1742,e_1733,e_1289,e_1738 are consequences of e_1183 Substitution of q55 by an expression in q28 found in e_97 : q55=q28 Step 2342: Hot list 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 5 terms The list of inequalities got extended by: An expression with 15 terms e_1204,e_1804,e_1131,e_1298,e_997 are consequences of e_1625 e_1299,e_1633,e_1794,e_1270,e_1529 are consequences of e_1628 e_1393,e_1721,e_1543,e_914,e_1684 are consequences of e_1631 e_1624 is a consequence of e_1631. e_1727 is a consequence of e_1628. e_935 is a consequence of e_1628. e_1087 is a consequence of e_1631. e_1305 is a consequence of e_1274. e_1800 is a consequence of e_1274. Substitution of q28 found in e_1183 : q28=0 Step 2343: Hot list 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 14 terms e_1665 is a consequence of e_1631. e_1758 is a consequence of e_1726. e_1813 is a consequence of e_1726. Substitution of q57 found in e_1625 : q57=0 Step 2344: Hot list 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: g0015*q30 + g0029*p14 + g0030*p8 e_1680 is a consequence of e_1631. e_1669 is a consequence of e_1631. e_1820 is a consequence of e_1698. e_1828 is a consequence of e_1307. e_584 is a consequence of e_1631. e_1824 is a consequence of e_1631. e_1610 is a consequence of e_1274. Substitution of q32 found in e_1628 : q32=0 Step 2345: Hot list 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: g0029*p14 + g0030*p8 e_1730 is a consequence of e_1776. e_1418 is a consequence of e_1302. e_1783 is a consequence of e_1698. e_1723 is a consequence of e_1302. e_1307 is a consequence of e_1698. e_1695 is a consequence of e_1827. e_1588 is a consequence of e_1776. e_1781 is a consequence of e_1274. Substitution of q30 found in e_1631 : q30=0 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 : The list of inequalities got extended by: An expression with 13 terms e_1795 is a consequence of e_1274. e_1651 is a consequence of e_1403. e_1419 is a consequence of e_1791. Substitution of q33 by an expression in q17, p16, p12 found in e_272 : 1 ---*p16*q17 7 q33=------------- p12 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 : The list of inequalities got extended by: An expression with 16 terms e_1838 is a consequence of e_1776. e_1839 is a consequence of e_1545.e_1840 is a consequence of e_1841 e_1842 is a consequence of e_1841. Substitution of q43 by an expression in q15, p4, p1, p12 found in e_1156 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 18 terms e_1855 is a consequence of e_1403. Substitution of q47 by an expression in q17, p10, p4, p1, p12 found in e_1173 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 20 terms Substitution of q42 by an expression in q17, q11, p3, p1 found in e_1775 : 12 factors in 4 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 : The list of inequalities got extended by: An expression with 22 terms Substitution of q44 by an expression in q17, q11, p3, p1 found in e_1675 : 13 factors in 4 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 : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q17 by an expression in q15, q11, p3, p1 found in e_1647 : 12 factors in 4 terms 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 : 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_1757 is a consequence of e_1698.e_1874,e_1866,e_1768 are consequences of e_1154 e_1867 is a consequence of e_1154. *** Garbage collection starting *** GC 857 4-Oct-2003 13:27:10, 50 ms (0%), 1259393 occupied, 23740559 free Substitution of q15 by an expression in q13, q11, p3, p1 found in e_1187 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 20 terms e_1827 is a consequence of e_1698. e_1689 is a consequence of e_1718. e_1302 is a consequence of e_1698. e_1111 is a consequence of e_1698. e_1764 is a consequence of e_1698. e_1526 is a consequence of e_1698. e_1894 is a consequence of e_1718. e_1776 is a consequence of e_1698. e_1719 is a consequence of e_1698. e_1274 is a consequence of e_1698. e_1878 is a consequence of e_1718. e_1322 is a consequence of e_1698. e_1726 is a consequence of e_1698. e_1629 is a consequence of e_1698.e_1495,e_1895 are consequences of e_1879 e_1882 is a consequence of e_1879. Substitution of q13 by an expression in q11, p3, p1 found in e_1154 : p3*q11 q13=-------- p1 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 3 terms e_1922 is a consequence of e_1718. 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 e_1923 is a consequence of e_1626. 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 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 858 4-Oct-2003 13:27:13, 60 ms (0%), 1262077 occupied, 23737875 free Eliminate q11 from e_1879 and e_1752. e_1752: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q53,q19,q11,p16,p10,p4,p12 ,p12) is replaced by e_1938: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q53,q19,p16,p10,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 859 4-Oct-2003 13:27:16, 60 ms (0%), 1275083 occupied, 23724869 free Eliminate q19 from e_1931 and e_1884. e_1884: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q53,q19,q11,p16,p10,p4,p12 ,p12) is replaced by e_1941: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q53,q11,p16,p10,p4,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1938 and e_1805. e_1805: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q53,q19,q16,q11,p16,p10,p12 ,p12) is replaced by e_1942: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q11,p16,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1938 and e_1737. e_1737: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q53,q19,q16,q11,p16,p10,p12 ,p12) is replaced by e_1946: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q11,p16,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1946 and e_1942. e_1946: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q11,p16,p10,p12) is replaced by e_1950: 3 terms, 6 factors, with derivatives of functions of all variables: (q16,q11,p16,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_1950 and e_1942. e_1942: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q11,p16,p10,p12) is replaced by e_1953: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q11,p16,p10,p12) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1953 and e_1930. e_1930: 5 terms, 15 factors, with derivatives of functions of all variables: (q19,q11,p16,p10,p3,p1,p12) is replaced by e_1830: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q11,p10,p3,p1,p12) 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 : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q19 from e_1953 and e_1931. e_1953: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q11,p16,p10,p12) is replaced by e_1955: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q11,p10,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 860 4-Oct-2003 13:27:20, 50 ms (0%), 1272091 occupied, 23727861 free Eliminate q53 from e_1938 and e_1934. e_1934: 4 terms, 16 factors, with derivatives of functions of all variables: 2 (q53,q19,q11,p16,p10,p3,p1,p12 ,p12) is replaced by e_855: 0=p3*q11 e_1623,e_1928 are consequences of e_855 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 e_1620,e_1749,e_1782,e_1746,e_1687,e_1482,e_1873,e_1865,e_1791,e_1712,e_1786, e_1463 are consequences of e_1748 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 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 : --- Length reducing decoupling steps : Eliminate q11 from e_1765 and e_1725. e_1725: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q11,p16,p10,p12) is replaced by e_1728: 0=(q16 + 2*q19)*p16 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 : 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_855 is a consequence of e_1748. e_1390 is a consequence of e_1748. e_1671 is a consequence of e_1748. e_1765 is a consequence of e_1748. e_1954 is a consequence of e_1748. e_1423 is a consequence of e_1748. e_1955 is a consequence of e_1748. e_1696 is a consequence of e_1748. Substitution of q11 by an expression in q53, q19, p16, p10, p12 found in e_1693 : 11 factors in 3 terms 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 : shortening by 1 term 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 : shortening by 1 term Step 2392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q53 from e_1748 and e_1711. e_1711: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q53,q19,p16,p10 ,p10,p12 ,p12) is replaced by e_1325: 0=p16*q19 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 : shortening by 2 terms 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 2 terms e_1762 is a consequence of e_1678. 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 2 terms 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 2 terms 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 3 terms e_1690 is a consequence of e_1678. 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 2 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 3 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 3 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 3 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 2 terms e_1670,e_1704,e_1168,e_1490,e_1678 are consequences of e_838 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 1 term 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 1 term e_1611 is a consequence of e_838. 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 1 term e_1067 is a consequence of e_838. 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q19 from e_1325 and e_1728. e_1728: 0=(q16 + 2*q19)*p16 is replaced by e_1200: 0=p16*q16 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 : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 861 4-Oct-2003 13:27:23, 60 ms (0%), 1245484 occupied, 23754467 free factorizing e_1626 we get the alternative equations : 0=q19 0=p14 New level : 1.1.1.1.1.1.2.1.1.2.1. CRACK is now called with the new equation e_1131 : 0=q19 e_1630,e_1822,e_1821,e_1792,e_1325 are consequences of e_1131 Step 2415: 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 Substitution of q19 found in e_1131 : q19=0 Step 2416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q16 from e_1794 and e_1759. e_1759: 6 terms, 12 factors, with derivatives of functions of all variables: (q53,q48,q16,p10,p4,p12) is replaced by e_1669: (#) 4 terms, with derivatives of functions of all variables: (q53,q48,p10,p12) 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1688 we get the alternative equations : 0=q16 0=p14 New level : 1.1.1.1.1.1.2.1.1.2.1.1. CRACK is now called with the new equation e_1392 : 0=q16 e_1658,e_1204,e_1794,e_1814,e_1200 are consequences of e_1392 Step 2421: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms q53 The lexicographical ordering of unknowns is changed because q53 has to be non-zero, giving q53 a low priority. Old ordering: q53,q48,q16,p16,p14,p10,p8,p4,p3,p1,p12 New ordering: q48,q16,q53,p16,p14,p10,p8,p4,p3,p1,p12 The list of inequalities got extended by: An expression with 17 terms Substitution of q16 found in e_1392 : q16=0 Step 2422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0099*p14 + g0101*p12 + g0103*p10 The list of inequalities got extended by: 2*p10 + 3*p12 The list of inequalities got extended by: q48 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q48,q53,p16,p14,p10,p8,p4,p3,p1,p12 New ordering: q48,q53,p16,p14,p8,p4,p3,p10,p1,p12 contradiction : 0=2*p10 + 3*p12 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: q48,q53,p16,p14,p8,p4,p3,p10,p1,p12 New ordering: q48,q53,p16,p14,p8,p3,p4,p10,p1,p12 The list of inequalities got extended by: An expression with 3 terms Time: 0 ms Time: 0 ms Time: 10 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: q53,q48,q16,p16,p14,p10,p8,p4,p3,p1,p12 New ordering: q53,q48,q16,p16,p14,p10,p8,p3,p4,p1,p12 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q53,q48,q16,p16,p14,p10,p8,p3,p4,p1,p12 New ordering: q53,q48,q16,p16,p14,p8,p3,p10,p4,p1,p12 The list of inequalities got extended by: q16 The list of inequalities got extended by: q48 New level : 1.1.1.1.1.1.2.1.1.2.1.2. CRACK is now called with the new equation e_1392 : 0=p14 e_1392 is a consequence of e_1632.e_1924,e_1767 are consequences of e_1392 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 2423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q53,q48,q16,p16,p14,p8,p3,p10,p4,p1,p12 New ordering: q53,q48,q16,p16,p8,p3,p14,p10,p4,p1,p12 e_1778 is a consequence of e_1204. e_1778 is a consequence of e_1813.e_1529,e_1270 are consequences of e_1778 Substitution of p8 found in e_1814 : p8=0 Step 2424: 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 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: q19 The lexicographical ordering of unknowns is changed because q19 has to be non-zero, giving q19 a low priority. Old ordering: q53,q48,q19,q16,p16,p14,p10,p8,p4,p3,p1,p12 New ordering: q53,q48,q16,q19,p16,p14,p10,p8,p4,p3,p1,p12 New level : 1.1.1.1.1.1.2.1.1.2.2. CRACK is now called with the new equation e_1131 : 0=p14 e_1924,e_1767,e_1688,e_1632 are consequences of e_1131 Step 2425: Hot list of urgent steps : 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: q53,q48,q16,q19,p16,p14,p10,p8,p4,p3,p1,p12 New ordering: q53,q48,q16,q19,p16,p14,p10,p4,p3,p8,p1,p12 The list of inequalities got extended by: g0097*p16 + g0101*p12 + g0103*p10 e_1804 is a consequence of e_1715. Substitution of p14 found in e_1131 : p14=0 Step 2426: Hot list 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 17 terms e_1794 is a consequence of e_1715.e_1270 is a consequence of e_1633 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q53,q48,q16,q19,p16,p10,p4,p3,p8,p1,p12 New ordering: q53,q48,q16,q19,p16,p4,p3,p10,p8,p1,p12 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: q53,q48,q16,q19,p16,p4,p3,p10,p8,p1,p12 New ordering: q53,q48,q16,q19,p16,p3,p4,p10,p8,p1,p12 e_1773 is a consequence of e_1299 Substitution of q16 found in e_1814 : q16=0 Step 2427: 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 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: 110 ms The list of inequalities got extended by: p2 The lexicographical ordering of unknowns is changed because p2 has to be non-zero, giving p2 a low priority. Old ordering: q58,q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42, q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q28,q23,q22,q21,q19,q18,q17,q16, q15,q13,q11,q10,q7,q6,q5,q4,q2,p16,p14,p10,p8,p4,p3,p2,p1,p12 New ordering: q58,q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42, q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q28,q23,q22,q21,q19,q18,q17,q16, q15,q13,q11,q10,q7,q6,q5,q4,q2,p16,p14,p10,p8,p4,p3,p1,p2,p12 New level : 1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_1678 : 0=q17 e_1242,e_1288,e_1403 are consequences of e_1678 Step 2428: Hot list of urgent steps : The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 862 4-Oct-2003 13:27:30, 50 ms (0%), 1311396 occupied, 23688550 free The list of inequalities got extended by: An expression with 35 terms e_1679 is a consequence of e_1322. e_1680 is a consequence of e_1322. e_1681 is a consequence of e_1322. e_1682 is a consequence of e_1322. e_1686 is a consequence of e_1111. e_1688 is a consequence of e_1322. e_1689 is a consequence of e_1322. e_1690 is a consequence of e_1040. e_1691 is a consequence of e_1053. e_1692 is a consequence of e_997. e_1696 is a consequence of e_350. Substitution of q17 found in e_1678 : q17=0 Step 2429: Hot list 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 34 terms e_1551 is a consequence of e_855. Substitution of q6 found in e_523 : q6=0 Step 2430: Hot list 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 33 terms e_1082 is a consequence of e_1053. e_1537 is a consequence of e_350. Substitution of q28 found in e_1040 : q28=0 Step 2431: Hot list 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 32 terms e_1631 is a consequence of e_97. e_1618 is a consequence of e_1492. e_1538 is a consequence of e_1111. e_1429 is a consequence of e_1053. Substitution of q30 found in e_350 : q30=0 Step 2432: Hot list 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 31 terms e_1628 is a consequence of e_97. e_1633 is a consequence of e_1111. Substitution of q32 found in e_1053 : q32=0 Step 2433: Hot list 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 30 terms e_1305 is a consequence of e_1298. e_1481 is a consequence of e_1111. Substitution of q31 found in e_997 : q31=0 Step 2434: Hot list 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 Substitution of q11 found in e_1248 : q11=0 Step 2435: Hot list 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 e_1657 is a consequence of e_1322. e_1611 is a consequence of e_1610. e_1599 is a consequence of e_1478. e_1622 is a consequence of e_1609. e_1434 is a consequence of e_1609. Substitution of q13 found in e_1313 : q13=0 Step 2436: Hot list 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 e_1654 is a consequence of e_1653. e_1682 is a consequence of e_1322. e_1690 is a consequence of e_1677. Substitution of q15 found in e_1111 : q15=0 Step 2437: Hot list 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_1658 is a consequence of e_1655. e_1656 is a consequence of e_1673. e_1717 is a consequence of e_1616. Substitution of q33 found in e_1322 : q33=0 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 : The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 863 4-Oct-2003 13:27:34, 60 ms (0%), 1336412 occupied, 23663531 free Substitution of q16 by an expression in q54, p16, p3, p2, p12 found in e_1330 : 8 factors in 2 terms 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 26 terms e_1611 is a consequence of e_1599 e_838 is a consequence of e_855. e_1025 is a consequence of e_856. e_1313 is a consequence of e_1599. Substitution of q35 by an expression in q49, p14, p2 found in e_23 : 2*p14*q49 q35=----------- p2 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 26 terms e_1791 is a consequence of e_1599. e_1792 is a consequence of e_1599. e_1681 is a consequence of e_1599. e_1679 is a consequence of e_1599. e_1715 is a consequence of e_1599. e_1729 is a consequence of e_1599. Substitution of q4 by an expression in q49, p14, p3, p2 found in e_1622 : - p14*p3*q49 q4=--------------- 2 p2 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q56 by an expression in q49, q41, p16, p14, p8, p2 found in e_1682 : 9 factors in 3 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q37 by an expression in q49, q46, p14, p10, p8, p2 found in e_1690 : 9 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 25 terms *** Garbage collection starting *** GC 864 4-Oct-2003 13:27:37, 70 ms (0%), 1389698 occupied, 23610240 free Substitution of q58 by an expression in q49, q41, p16, p14, p8, p2 found in e_1824 : 9 factors in 3 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 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 1 term 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 1 term 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 1 term 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 1 term 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 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 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 1 term 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 1 term 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 1 term 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 1 term 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 e_1747 is a consequence of e_1729. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term e_1790 is a consequence of e_1599. 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 1 term 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 1 term e_1808 is a consequence of e_1819. 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 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 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 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 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 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 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 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 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 : *** Garbage collection starting *** GC 865 4-Oct-2003 13:27:41, 70 ms (0%), 1381112 occupied, 23618829 free shortening by 1 term 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 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 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1621 and e_1625. e_1625: 0=(q55 + 2*q57)*p1 is replaced by e_1803: 0=p1*q55 e_1803 is a consequence of e_97. 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1536 and e_1527. e_1527: 0=(q55 + 2*q57)*p3 is replaced by e_1747: 0=p3*q55 e_1747 is a consequence of e_1528. 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1536 and e_1421. e_1421: 0=(q55 + q57)*p3 is replaced by e_1429: 0=p3*q55 e_1429 is a consequence of e_1528. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 866 4-Oct-2003 13:27:45, 80 ms (0%), 1481581 occupied, 23518253 free Eliminate q57 from e_1536 and e_1484. e_1484: 0=(2*q55 + q57)*p3 is replaced by e_1081: 0=p3*q55 e_1081 is a consequence of e_1528. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 867 4-Oct-2003 13:27:48, 70 ms (0%), 1496037 occupied, 23503117 free *** Garbage collection starting *** GC 868 4-Oct-2003 13:27:51, 100 ms (0%), 1534320 occupied, 23464396 free Eliminate q40 from e_1652 and e_1661. e_1661: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q44,q42,q40,p1) is replaced by e_1804: 0=(3*q42 + 4*q44)*p1 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1804 and e_1659. e_1804: 0=(3*q42 + 4*q44)*p1 is replaced by e_1040: 0=p1*q42 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 869 4-Oct-2003 13:27:54, 70 ms (0%), 1380098 occupied, 23619843 free --- Length reducing decoupling steps : Eliminate q40 from e_1611 and e_1674. e_1674: 0=(2*q40 + q42)*p3 is replaced by e_1082: 0=p3*q42 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1082 and e_1434. e_1434: 0=(q42 + 3*q44)*p3 is replaced by e_1821: 0=p3*q44 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1821 and e_1689. e_1689: 0=(q42 + q44)*p3 is replaced by e_1830: 0=p3*q42 e_1830 is a consequence of e_1082. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 870 4-Oct-2003 13:27:58, 120 ms (0%), 1756270 occupied, 23242692 free Eliminate q42 from e_1040 and e_1313. e_1313: 0=(3*q42 + q44)*p1 is replaced by e_1682: 0=p1*q44 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 : --- Length reducing decoupling steps : Eliminate q44 from e_1682 and e_1659. e_1659: 0=(q42 + 3*q44)*p1 is replaced by e_1720: 0=p1*q42 e_1720 is a consequence of e_1040. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 871 4-Oct-2003 13:28:01, 140 ms (0%), 1724528 occupied, 23274475 free *** Garbage collection starting *** GC 872 4-Oct-2003 13:28:04, 110 ms (0%), 1744264 occupied, 23254708 free *** Garbage collection starting *** GC 873 4-Oct-2003 13:28:07, 100 ms (0%), 1762088 occupied, 23236998 free Eliminate q44 from e_1821 and e_1326. e_1326: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q44,q42,q40,p3) is replaced by e_1640: 0=(2*q40 - 3*q42)*p3 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 : --- Length reducing decoupling steps : Eliminate q42 from e_1082 and e_1640. e_1640: 0=(2*q40 - 3*q42)*p3 is replaced by e_1754: 0=p3*q40 e_1754 is a consequence of e_1611. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 874 4-Oct-2003 13:28:11, 130 ms (0%), 1727679 occupied, 23271297 free *** Garbage collection starting *** GC 875 4-Oct-2003 13:28:14, 110 ms (0%), 1748456 occupied, 23250585 free *** Garbage collection starting *** GC 876 4-Oct-2003 13:28:17, 130 ms (0%), 1767976 occupied, 23231018 free *** Garbage collection starting *** GC 877 4-Oct-2003 13:28:20, 90 ms (0%), 1786129 occupied, 23212903 free *** Garbage collection starting *** GC 878 4-Oct-2003 13:28:23, 120 ms (0%), 1803557 occupied, 23195455 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1478 we get the alternative equations : 0=p16 0=q2 New level : 1.1.1.1.1.1.2.1.2.1. CRACK is now called with the new equation e_1908 : 0=p16 e_1834,e_1298,e_1616,e_1556,e_1557,e_1634,e_1673,e_1653,e_1655 are consequences of e_1908 Step 2542: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: g0099*p14 + g0101*p12 + g0103*p10 The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 23 terms e_23 is a consequence of e_1829. e_1665 is a consequence of e_1829. e_1608 is a consequence of e_1829. e_1537 is a consequence of e_1829. e_1615 is a consequence of e_1829. e_1833 is a consequence of e_1824. e_1664 is a consequence of e_1824. e_1699 is a consequence of e_1829. e_1631 is a consequence of e_1829. e_1490 is a consequence of e_1829. e_1806 is a consequence of e_1829. e_1642 is a consequence of e_1829.e_1429,e_1829,e_1824 are consequences of e_1808 e_1839 is a consequence of e_1808. e_1840 is a consequence of e_1808. e_1863 is a consequence of e_1808. Substitution of p16 found in e_1908 : p16=0 Step 2543: Hot list 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 21 terms e_1551 is a consequence of e_1705. e_1817 is a consequence of e_1705.e_1686,e_1705 are consequences of e_1859 e_1843 is a consequence of e_1859. e_1862 is a consequence of e_1859. e_1852 is a consequence of e_1823. e_1851 is a consequence of e_1421. e_1804 is a consequence of e_1859. e_1861 is a consequence of e_1859. Substitution of q41 found in e_1808 : q41=0 Step 2544: Hot list 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_1858,e_1867,e_1687,e_1853 are consequences of e_1857 e_1618 is a consequence of e_1857. e_1872 is a consequence of e_1857. e_1870 is a consequence of e_1857. Substitution of q43 found in e_1859 : q43=0 Step 2545: Hot list 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 q47 found in e_1857 : q47=0 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 : The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 879 4-Oct-2003 13:28:27, 60 ms (0%), 1408853 occupied, 23591084 free Substitution of q22 by an expression in q49, p10, p3, p12 found in e_1661 : 10 factors in 3 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 : The list of inequalities got extended by: An expression with 23 terms e_1489 is a consequence of e_1807. Substitution of q45 by an expression in q48, q19, p10, p12 found in e_1772 : p10*q19 - p10*q48 q45=------------------- p12 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 : The list of inequalities got extended by: An expression with 27 terms Substitution of q23 by an expression in q49, q21, p3, p12 found in e_1689 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 31 terms Substitution of q21 by an expression in q53, q49, q19, p10, p3, p12 found in e_1025 : 14 factors in 5 terms 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 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 : shortening by 1 term e_1557 is a consequence of e_1860. 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 : shortening by 1 term 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 : shortening by 1 term Step 2555: Hot list of 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 e_1747 is a consequence of e_1081. e_1747 is a consequence of e_1659. e_1489 is a consequence of e_1081. e_1489 is a consequence of e_1821. e_1772 is a consequence of e_1081. e_1772 is a consequence of e_1682. e_1625 is a consequence of e_1081. e_1625 is a consequence of e_1675. e_1845 is a consequence of e_1081. Substitution of q40 by an expression in q44, p10, p12 found in e_1929 : 1 - ---*p10*q44 5 q40=---------------- p12 Step 2556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1852 is a consequence of e_1081. e_1852 is a consequence of e_1659. Step 2558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1618 is a consequence of e_1081. e_1618 is a consequence of e_1659. Step 2562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_1081. Step 2566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2567: Hot list of 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 e_1875 is a consequence of e_1081. e_1879 is a consequence of e_1821. e_1880 is a consequence of e_1682. e_1881 is a consequence of e_1659. e_1790 is a consequence of e_1675. e_1849 is a consequence of e_1629. Substitution of q42 by an expression in q44, p10, p12 found in e_1878 : 10 factors in 3 terms Step 2568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1688,e_1629,e_1675,e_1821,e_1682,e_1659,e_1081 are consequences of e_1025 Step 2569: Hot list 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 q44 found in e_1025 : q44=0 Step 2570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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 880 4-Oct-2003 13:28:30, 80 ms (0%), 1583728 occupied, 23415143 free *** Garbage collection starting *** GC 881 4-Oct-2003 13:28:34, 80 ms (0%), 1551079 occupied, 23447638 free *** Garbage collection starting *** GC 882 4-Oct-2003 13:28:37, 80 ms (0%), 1517999 occupied, 23481315 free *** Garbage collection starting *** GC 883 4-Oct-2003 13:28:41, 80 ms (0%), 1487339 occupied, 23512548 free *** Garbage collection starting *** GC 884 4-Oct-2003 13:28:44, 70 ms (0%), 1458338 occupied, 23541582 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1599 we get the alternative equations : 0=p3 0=q49 0=p14 New level : 1.1.1.1.1.1.2.1.2.1.1. CRACK is now called with the new equation e_1992 : 0=p3 e_1924,e_1922,e_1916,e_1616,e_1298,e_1834,e_1910,e_1913,e_1719,e_1714,e_1654, e_1923,e_1793,e_1620,e_1925,e_1302,e_1236,e_1155,e_263,e_1320,e_147,e_1190, e_1528,e_1536 are consequences of e_1992 Step 2572: 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 17 terms The list of inequalities got extended by: p1 e_1344 is a consequence of e_1747 e_1413,e_1409,e_823,e_1258,e_1240,e_68,e_531,e_893 are consequences of e_1489 e_1911,e_1909,e_1734,e_485,e_1918,e_1680,e_935,e_855,e_856 are consequences of e_1772 e_1625 is a consequence of e_1747. e_1154 is a consequence of e_1747. e_1417 is a consequence of e_1747.e_1807 is a consequence of e_1845 e_1929 is a consequence of e_1747. e_1664 is a consequence of e_1747. e_1705 is a consequence of e_1772. e_1686 is a consequence of e_1839. e_1873 is a consequence of e_1689. e_1875 is a consequence of e_1858.e_1836 is a consequence of e_1025 e_1634 is a consequence of e_1025. Substitution of p3 found in e_1992 : p3=0 Step 2573: Hot list 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 16 terms e_1953 is a consequence of e_1621. e_1954 is a consequence of e_1621. Substitution of q55 found in e_97 : q55=0 Step 2574: Hot list 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 15 terms Substitution of q57 found in e_1621 : q57=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 17 terms Substitution of q52 found in e_1747 : q52=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 16 terms Substitution of q54 found in e_1489 : q54=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 14 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_1844 is a consequence of e_1863. e_1615 is a consequence of e_1839. e_1682 is a consequence of e_1527.e_1962 is a consequence of e_1967 e_1968 is a consequence of e_1689.e_1963 is a consequence of e_1969 e_1850 is a consequence of e_1557. e_1974 is a consequence of e_1967. Substitution of q49 found in e_1772 : q49=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 13 terms The list of inequalities got extended by: An expression with 12 terms e_1081 is a consequence of e_1025. e_1878 is a consequence of e_1803. e_1876 is a consequence of e_1025. e_1852 is a consequence of e_1689. e_1687 is a consequence of e_1858. Substitution of q7 found in e_1833 : q7=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 12 terms The list of inequalities got extended by: An expression with 11 terms e_1659 is a consequence of e_1025. e_1840 is a consequence of e_1025. e_1966 is a consequence of e_1839. Substitution of q10 found in e_1803 : q10=0 Step 2580: Hot list 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 9 terms e_1640 is a consequence of e_1930. *** Garbage collection starting *** GC 885 4-Oct-2003 13:28:47, 70 ms (0%), 1430069 occupied, 23569869 free e_1688 is a consequence of e_1859. e_1849 is a consequence of e_1851. e_1790 is a consequence of e_1851. Substitution of q19 found in e_1858 : q19=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 8 terms e_1930 is a consequence of e_1863 e_1839 is a consequence of e_1969. e_1988 is a consequence of e_1967. e_1718 is a consequence of e_1845. e_1821 is a consequence of e_1967.e_1934 is a consequence of e_1906 Substitution of q18 found in e_1689 : q18=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: An expression with 8 terms The list of inequalities got extended by: An expression with 10 terms e_1986 is a consequence of e_1856. e_1972 is a consequence of e_1856. e_1965 is a consequence of e_1969. e_1964 is a consequence of e_1025. e_1527 is a consequence of e_1863. e_1881 is a consequence of e_1906. e_1903 is a consequence of e_1863. e_1977 is a consequence of e_1856. e_1804 is a consequence of e_1861. e_1759 is a consequence of e_1025. e_1846 is a consequence of e_1863. Substitution of q46 found in e_1967 : q46=0 Step 2583: Hot list 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 9 terms e_1970 is a consequence of e_1985 e_1979 is a consequence of e_1985. e_1971 is a consequence of e_1985. e_1978 is a consequence of e_1985. e_1976 is a consequence of e_1985. Substitution of q38 found in e_1969 : q38=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 7 terms The list of inequalities got extended by: An expression with 8 terms e_1776 is a consequence of e_1863. e_1699 is a consequence of e_1863. e_1391 is a consequence of e_584. e_1862 is a consequence of e_1863. e_1983 is a consequence of e_1845. e_1980 is a consequence of e_1985. e_1939 is a consequence of e_1863. e_1661 is a consequence of e_1853. e_1973 is a consequence of e_1985. e_1944 is a consequence of e_1943. e_1940 is a consequence of e_1690. Substitution of q5 found in e_1025 : q5=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 6 terms The list of inequalities got extended by: An expression with 7 terms e_1551 is a consequence of e_1618. e_1874 is a consequence of e_1618. e_1111 is a consequence of e_1863. e_1984 is a consequence of e_1845. e_1653 is a consequence of e_1863. e_1837 is a consequence of e_1618. Substitution of q39 found in e_584 : q39=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 4 terms e_1851,e_1906 are consequences of e_1859 e_1981 is a consequence of e_1618. e_487 is a consequence of e_1863. e_1817 is a consequence of e_1859. e_1675 is a consequence of e_1904. e_1838 is a consequence of e_1859. e_1931 is a consequence of e_1859. e_1631 is a consequence of e_1859. e_1877 is a consequence of e_1859. e_1987 is a consequence of e_1859. Substitution of q48 found in e_1845 : q48=0 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 4 terms The list of inequalities got extended by: 2*p10 + 3*p12 q53 The lexicographical ordering of unknowns is changed because q53 has to be non-zero, giving q53 a low priority. Old ordering: q53,q51,q36,q34,q2,p14,p10,p8,p4,p1,p2,p12 New ordering: q51,q36,q34,q2,q53,p14,p10,p8,p4,p1,p2,p12 e_1870 is a consequence of e_1618. e_1908 is a consequence of e_1618. e_1880 is a consequence of e_1618. e_1904 is a consequence of e_1618. e_1853 is a consequence of e_1618. e_1902 is a consequence of e_1985. e_1808 is a consequence of e_1985. e_1879 is a consequence of e_1985. e_1478 is a consequence of e_1985. e_1629 is a consequence of e_1936. e_1942 is a consequence of e_1936. e_1882 is a consequence of e_1907. e_1690 is a consequence of e_1941. Substitution of q2 found in e_1863 : q2=0 Step 2588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0077*q53 + g0094*q36 + g0096*q34 e_1975 is a consequence of e_1985. The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q51,q36,q34,q53,p14,p10,p8,p4,p1,p2,p12 New ordering: q51,q36,q34,q53,p14,p8,p4,p10,p1,p2,p12 e_1932 is a consequence of e_1905. The list of inequalities got extended by: p4 Substitution of q51 found in e_1856 : q51=0 Step 2589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0010*q36 + g0029*p14 + g0030*p8 The list of inequalities got extended by: g0077*q53 + g0094*q36 e_1935 is a consequence of e_1941. e_1557 is a consequence of e_1941. e_1938 is a consequence of e_1936. e_1907 is a consequence of e_1936. e_1937 is a consequence of e_1943. Substitution of q34 found in e_1985 : q34=0 Step 2590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0029*p14 + g0030*p8 e_1982 is a consequence of e_1936. e_1720 is a consequence of e_1936. Substitution of q36 found in e_1618 : q36=0 Step 2591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q53=0 because of the non-vanishing expression: q53 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: q57,q55,q54,q53,q52,q51,q49,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7 ,q5,q2,p14,p10,p8,p4,p3,p1,p2,p12 New ordering: q57,q55,q54,q53,q52,q51,q49,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7 ,q5,q2,p14,p10,p8,p4,p1,p3,p2,p12 New level : 1.1.1.1.1.1.2.1.2.1.2. CRACK is now called with the new equation e_1992 : 0=q49 e_1911,e_1909,e_1910,e_1734,e_1923,e_485,e_1918,e_1680,e_935,e_855,e_856,e_872 are consequences of e_1992 Step 2592: 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 15 terms The list of inequalities got extended by: An expression with 15 terms e_1489 is a consequence of e_1747.e_1833,e_1551 are consequences of e_1686 e_1615 is a consequence of e_1686. e_1862 is a consequence of e_1839. e_1803 is a consequence of e_1839. e_1861 is a consequence of e_1863. e_1853 is a consequence of e_1699.e_1664 is a consequence of e_1687 e_1858 is a consequence of e_1687. e_1527 is a consequence of e_487. e_1851 is a consequence of e_487. e_1880 is a consequence of e_487. e_1902 is a consequence of e_487. e_1478 is a consequence of e_487. e_1653 is a consequence of e_1686. e_1945 is a consequence of e_1942. Substitution of q49 found in e_1992 : q49=0 Step 2593: Hot list 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 14 terms e_1857 is a consequence of e_1536. e_1872 is a consequence of e_1536. Substitution of q55 found in e_1528 : q55=0 Step 2594: Hot list 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 13 terms Substitution of q57 found in e_1536 : q57=0 Step 2595: Hot list 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_1849 is a consequence of e_1686. e_1935 is a consequence of e_1686. Substitution of q51 found in e_1747 : q51=0 Step 2596: Hot list 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_1881 is a consequence of e_1686. e_1839 is a consequence of e_1687. e_1967 is a consequence of e_1686. e_1759 is a consequence of e_1686.e_1808 is a consequence of e_1934 e_1951 is a consequence of e_1934. e_1952 is a consequence of e_1934. Substitution of q18 found in e_1699 : q18=0 Step 2597: Hot list 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 12 terms e_1966 is a consequence of e_1659 e_1876 is a consequence of e_1659. e_1838 is a consequence of e_1863. e_1689 is a consequence of e_1687. e_1907 is a consequence of e_1863. e_1081 is a consequence of e_1659. e_1618 is a consequence of e_1934. e_1846 is a consequence of e_1863. *** Garbage collection starting *** GC 886 4-Oct-2003 13:28:51, 50 ms (0%), 1254040 occupied, 23745896 free e_1930 is a consequence of e_487. Substitution of q46 found in e_1686 : q46=0 Step 2598: Hot list 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 11 terms e_1631 is a consequence of e_1840 e_1908 is a consequence of e_1687. e_1948 is a consequence of e_1863. Substitution of q10 found in e_1844 : q10=0 Step 2599: Hot list 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_1025 is a consequence of e_1804. e_1938 is a consequence of e_487.e_1943,e_1878 are consequences of e_1557 e_1873 is a consequence of e_487. e_1936 is a consequence of e_487. e_1932 is a consequence of e_487. Substitution of q38 found in e_1687 : q38=0 Step 2600: Hot list 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 9 terms e_1975 is a consequence of e_1659. e_1682 is a consequence of e_1863. e_1661 is a consequence of e_1863. e_1856 is a consequence of e_1863. e_1937 is a consequence of e_1934. Substitution of q34 found in e_487 : q34=0 Step 2601: Hot list 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 8 terms e_1557 is a consequence of e_1840. e_1906 is a consequence of e_1840. e_1905 is a consequence of e_1840. e_1882 is a consequence of e_1840. e_1974 is a consequence of e_1840. e_1978 is a consequence of e_1659. e_1953 is a consequence of e_1934. Substitution of q7 found in e_1804 : q7=0 Step 2602: Hot list 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_1870 is a consequence of e_1840. e_1817 is a consequence of e_1979. e_1845 is a consequence of e_1969. e_1625 is a consequence of e_1840. e_1852 is a consequence of e_1840. e_1931 is a consequence of e_1772. e_1690 is a consequence of e_1659. e_1949 is a consequence of e_1659. e_1903 is a consequence of e_1934. e_1942 is a consequence of e_1934. e_1962 is a consequence of e_1934. Substitution of q2 found in e_1863 : q2=0 Step 2603: Hot list 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 7 terms e_1958 is a consequence of e_1840. e_1939 is a consequence of e_1840. e_1934 is a consequence of e_1675. e_1946 is a consequence of e_1675. e_1940 is a consequence of e_1840. e_1960 is a consequence of e_1959. e_1640 is a consequence of e_1840. e_1933 is a consequence of e_1675. e_1629 is a consequence of e_1675. e_1688 is a consequence of e_1675. Substitution of q19 found in e_1659 : q19=0 Step 2604: Hot list 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 6 terms e_1877 is a consequence of e_1772. e_1985 is a consequence of e_1969. e_1970 is a consequence of e_1980. e_1859 is a consequence of e_1772. e_1954 is a consequence of e_1675. e_1959 is a consequence of e_1675. e_1790 is a consequence of e_1972. e_1947 is a consequence of e_1772. e_1821 is a consequence of e_1973. e_1957 is a consequence of e_1675. e_1963 is a consequence of e_1675. e_1956 is a consequence of e_1675. Substitution of q5 found in e_1840 : q5=0 Step 2605: Hot list 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: g0007*q39 + g0029*p14 + g0030*p8 e_1941,e_1969 are consequences of e_1776 e_1979 is a consequence of e_1776. e_1875 is a consequence of e_1776. e_1972 is a consequence of e_1776. e_1973 is a consequence of e_1776. e_1904 is a consequence of e_1776. e_1944 is a consequence of e_1675. Substitution of q36 found in e_1772 : q36=0 Step 2606: Hot list 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: g0029*p14 + g0030*p8 e_1971 is a consequence of e_1850. e_1971 is a consequence of e_1980. e_1836 is a consequence of e_1850. e_1836 is a consequence of e_1980. e_1976 is a consequence of e_1850. e_1961 is a consequence of e_1675. e_1955 is a consequence of e_1675. Substitution of q39 found in e_1776 : q39=0 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 : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 5 terms e_1190 is a consequence of e_1344. e_2003 is a consequence of e_1320. e_2005 is a consequence of e_2004. Substitution of q54 by an expression in q52, p3, p12 found in e_1302 : 60*p12*q52 q54=------------ p3 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 : The list of inequalities got extended by: An expression with 7 terms e_1720 is a consequence of e_1675. e_1705 is a consequence of e_1675. e_1982 is a consequence of e_1675. Substitution of q48 by an expression in q53, p10, p12 found in e_1874 : 10 factors in 3 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 1 term e_1713 is a consequence of e_1320. 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 1 term e_2008,e_2007,e_2000,e_1236,e_1260,e_1996,e_1997,e_1998,e_1999,e_263,e_1155, e_2006,e_2009,e_1344,e_147,e_1320,e_2004 are consequences of e_1816 Step 2611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 2*p10 + 3*p12 q53 The lexicographical ordering of unknowns is changed because q53 has to be non-zero, giving q53 a low priority. Old ordering: q53,q52,p14,p10,p8,p4,p1,p3,p2,p12 New ordering: q52,q53,p14,p10,p8,p4,p1,p3,p2,p12 The list of inequalities got extended by: An expression with 5 terms Substitution of q52 found in e_1816 : q52=0 Step 2612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q53=0 because of the non-vanishing expression: q53 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: q57,q55,q54,q53,q52,q51,q49,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7 ,q5,q2,p14,p10,p8,p4,p3,p1,p2,p12 New ordering: q57,q55,q54,q53,q52,q51,q49,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7 ,q5,q2,p14,p10,p8,p4,p1,p3,p2,p12 The list of inequalities got extended by: p1 The list of inequalities got extended by: p4 *** Garbage collection starting *** GC 887 4-Oct-2003 13:28:55, 50 ms (0%), 1234999 occupied, 23764951 free The list of inequalities got extended by: q49 The lexicographical ordering of unknowns is changed because q49 has to be non-zero, giving q49 a low priority. Old ordering: q57,q55,q54,q53,q52,q51,q49,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7 ,q5,q2,p14,p10,p8,p4,p1,p3,p2,p12 New ordering: q57,q55,q54,q53,q52,q51,q48,q46,q39,q38,q36,q34,q19,q18,q10,q7,q5, q2,q49,p14,p10,p8,p4,p1,p3,p2,p12 New level : 1.1.1.1.1.1.2.1.2.1.3. CRACK is now called with the new equation e_1992 : 0=p14 e_1680,e_935,e_1190,e_1344 are consequences of e_1992 Step 2613: 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 14 terms The list of inequalities got extended by: g0101*p12 + g0103*p10 The list of inequalities got extended by: An expression with 18 terms e_1747 is a consequence of e_1528.e_1816,e_1713,e_1841,e_1818,e_1655,e_1556,e_97 ,e_1867 are consequences of e_1747 e_1489 is a consequence of e_1536.e_1674,e_1313,e_1842,e_1860,e_1673,e_1621, e_1843 are consequences of e_1489 e_1772 is a consequence of e_147. e_1625 is a consequence of e_1528. e_1845 is a consequence of e_1528.e_147 is a consequence of e_1664 e_1839 is a consequence of e_1908 e_1686 is a consequence of e_1664. e_1803 is a consequence of e_1664. e_1852 is a consequence of e_1908. e_1844 is a consequence of e_1908. e_1804 is a consequence of e_1664. e_1853 is a consequence of e_1817. e_1858 is a consequence of e_1908. e_1618 is a consequence of e_1664. e_1808 is a consequence of e_1664. e_1870 is a consequence of e_1908. e_1859 is a consequence of e_1527. e_1881 is a consequence of e_1874. e_1790 is a consequence of e_1664. e_1837 is a consequence of e_1664. e_1675 is a consequence of e_1874. e_1629 is a consequence of e_1527. e_1903 is a consequence of e_1527. e_1904 is a consequence of e_1664. e_1933 is a consequence of e_1664. e_1935 is a consequence of e_1932. Substitution of p14 found in e_1992 : p14=0 Step 2614: Hot list 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 17 terms Substitution of q55 found in e_1528 : q55=0 Step 2615: Hot list 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 16 terms Substitution of q57 found in e_1536 : q57=0 Step 2616: Hot list 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 15 terms e_1863 is a consequence of e_1908. e_1856 is a consequence of e_1817. e_1902 is a consequence of e_1817. e_1874 is a consequence of e_1527. e_1653 is a consequence of e_1817. e_1938 is a consequence of e_1817. e_1939 is a consequence of e_1817. e_1850 is a consequence of e_1527. e_1945 is a consequence of e_1817. e_1947 is a consequence of e_1817. Substitution of p8 found in e_1664 : p8=0 Step 2617: Hot list 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 14 terms e_1661 is a consequence of e_1527. e_1705 is a consequence of e_1861.e_1882 is a consequence of e_1907 e_1836 is a consequence of e_1527. e_1720 is a consequence of e_1527. e_1557 is a consequence of e_1527. Substitution of q38 found in e_1908 : q38=0 Step 2618: Hot list 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 8 terms e_1682 is a consequence of e_1776.e_1840 is a consequence of e_1551 e_1929 is a consequence of e_1551.e_1942,e_1833 are consequences of e_1951 e_1690 is a consequence of e_1527. e_487 is a consequence of e_1527. Substitution of q10 found in e_1861 : q10=0 Step 2619: Hot list 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 7 terms e_1940 is a consequence of e_1776. e_1944 is a consequence of e_1551. e_1081 is a consequence of e_1817. e_1759 is a consequence of e_1817. e_1879 is a consequence of e_1817. e_1862 is a consequence of e_1640. e_1949 is a consequence of e_1776. e_1943 is a consequence of e_1551. e_1932 is a consequence of e_1817. e_1936 is a consequence of e_1817. e_1941 is a consequence of e_1817. e_1946 is a consequence of e_1817. e_1821 is a consequence of e_1551. e_1876 is a consequence of e_1776. e_1950 is a consequence of e_1640. Substitution of q34 found in e_1527 : q34=0 Step 2620: Hot list 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 6 terms e_1640 is a consequence of e_1551. e_1907 is a consequence of e_1551. e_1025 is a consequence of e_1551. e_1478 is a consequence of e_1817. e_1849 is a consequence of e_1934. e_1930 is a consequence of e_1551. e_1877 is a consequence of e_1688. Substitution of q7 found in e_1776 : q7=0 Step 2621: Hot list 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: g0007*q39 + g0010*q36 + g0023*q5 e_1851 is a consequence of e_1551. e_1689 is a consequence of e_1951.e_1934 is a consequence of e_1699 e_1873 is a consequence of e_1875. e_1838 is a consequence of e_1951. e_1615 is a consequence of e_1954. e_1631 is a consequence of e_1551. e_1948 is a consequence of e_1951. e_1634 is a consequence of e_1699. e_1906 is a consequence of e_1951. e_1846 is a consequence of e_1551. Substitution of q2 found in e_1817 : q2=0 Step 2622: Hot list 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: g0007*q39 + g0010*q36 e_1931 is a consequence of e_1951. e_1937 is a consequence of e_1699. e_1875 is a consequence of e_1699. e_1955 is a consequence of e_1951. e_1905 is a consequence of e_1699. e_1878 is a consequence of e_1952. e_1659 is a consequence of e_1953. Substitution of q5 found in e_1551 : q5=0 Step 2623: Hot list 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: q36 The lexicographical ordering of unknowns is changed because q36 has to be non-zero, giving q36 a low priority. Old ordering: q54,q53,q52,q51,q48,q46,q39,q36,q19,q18,q49,p10,p4,p1,p3,p2,p12 New ordering: q54,q53,q52,q51,q48,q46,q39,q19,q18,q36,q49,p10,p4,p1,p3,p2,p12 The list of inequalities got extended by: q39 The lexicographical ordering of unknowns is changed because q39 has to be non-zero, giving q39 a low priority. Old ordering: q54,q53,q52,q51,q48,q46,q39,q19,q18,q36,q49,p10,p4,p1,p3,p2,p12 New ordering: q54,q53,q52,q51,q48,q46,q19,q18,q39,q36,q49,p10,p4,p1,p3,p2,p12 Substitution of q39 found in e_1951 : q39=0 leads to a contradiction in : 0=3*q36 + q39 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: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q57,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42,q41,q40, q39,q38,q36,q34,q23,q22,q21,q19,q18,q10,q7,q5,q2,p16,p14,p10,p8,p4,p3,p1,p2,p12 New ordering: q57,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42,q41,q40, q39,q38,q36,q34,q23,q22,q21,q19,q18,q10,q7,q5,q2,p14,p10,p8,p4,p3,p1,p16,p2,p12 New level : 1.1.1.1.1.1.2.1.2.2. CRACK is now called with the new equation e_1908 : 0=q2 Step 2624: 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 22 terms Substitution of q2 found in e_1908 : q2=0 Step 2625: Hot list 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 21 terms e_1789 is a consequence of e_1673. e_1746 is a consequence of e_1599. e_1313 is a consequence of e_1599. e_1659 is a consequence of e_1599. Substitution of q57 found in e_1298 : q57=0 Step 2626: Hot list 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 *** Garbage collection starting *** GC 888 4-Oct-2003 13:29:00, 50 ms (0%), 1291754 occupied, 23708197 free The list of inequalities got extended by: An expression with 20 terms e_1690 is a consequence of e_1653. e_1818 is a consequence of e_1599. e_1812 is a consequence of e_1622.e_1829 is a consequence of e_1720 e_1624 is a consequence of e_1622. e_1640 is a consequence of e_1599. Substitution of q55 found in e_1616 : q55=0 Step 2627: Hot list 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 19 terms Substitution of q7 found in e_1556 : q7=0 Step 2628: Hot list 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 18 terms e_1865 is a consequence of e_1599. Substitution of q10 found in e_1557 : q10=0 Step 2629: Hot list 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 17 terms e_1876 is a consequence of e_1858. e_1877 is a consequence of e_1599. e_1861 is a consequence of e_1599. e_1752 is a consequence of e_1599. e_1868 is a consequence of e_1720. e_1840 is a consequence of e_1599. Substitution of q5 found in e_1634 : q5=0 Step 2630: Hot list 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_1858 is a consequence of e_1809 e_1810 is a consequence of e_1599. e_1811 is a consequence of e_1599.e_1340 is a consequence of e_1888 Substitution of q40 found in e_1673 : q40=0 Step 2631: Hot list 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 e_1745 is a consequence of e_1599. e_1639 is a consequence of e_1819. Substitution of q44 found in e_1653 : q44=0 Step 2632: Hot list 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 Substitution of q42 found in e_1655 : q42=0 Step 2633: Hot list 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 23 terms e_1754 is a consequence of e_1809. e_1860 is a consequence of e_1809. e_1769 is a consequence of e_1809. e_1720 is a consequence of e_1599. e_1392 is a consequence of e_1599. e_1776 is a consequence of e_1599. e_1898 is a consequence of e_1759. e_1844 is a consequence of e_1599. Substitution of q36 found in e_1630 : q36=0 Step 2634: Hot list 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 22 terms e_1526 is a consequence of e_1599. e_1718 is a consequence of e_1599. e_1759 is a consequence of e_1599. e_1863 is a consequence of e_1599. e_1899 is a consequence of e_1599. e_1879 is a consequence of e_1599. e_1881 is a consequence of e_1599. e_1866 is a consequence of e_1888. Substitution of q39 found in e_1809 : q39=0 Step 2635: Hot list 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 q21 by an expression in q18 found in e_1834 : q21= - 4*q18 Step 2636: Hot list 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_1538 is a consequence of e_1740. Substitution of q19 by an expression in q18 found in e_1617 : q19=10*q18 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 : The list of inequalities got extended by: An expression with 22 terms e_1859 is a consequence of e_1190.e_735,e_1154,e_1422 are consequences of e_1829 Substitution of q45 by an expression in q54, p3, p16, p2, p12 found in e_1888 : 8 factors in 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 : *** Garbage collection starting *** GC 889 4-Oct-2003 13:29:04, 60 ms (0%), 1315440 occupied, 23684509 free The list of inequalities got extended by: An expression with 20 terms e_1236,e_1155,e_263,e_1320,e_147,e_1190 are consequences of e_1891 e_1906 is a consequence of e_1891. Substitution of q18 by an expression in q54, p3, p16, p2, p12 found in e_1890 : 8 factors in 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 : The list of inequalities got extended by: An expression with 20 terms e_1903 is a consequence of e_1894. Substitution of q23 by an expression in q54, p3, p16, p2, p12 found in e_1895 : 8 factors in 2 terms 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 : The list of inequalities got extended by: An expression with 22 terms e_1896 is a consequence of e_1891. e_1313 is a consequence of e_1891. e_1889 is a consequence of e_1891. e_1851 is a consequence of e_1891. e_1789 is a consequence of e_1891. e_1835 is a consequence of e_1891. e_1624 is a consequence of e_1891. e_1915 is a consequence of e_1891. e_1914 is a consequence of e_1891. Substitution of q48 by an expression in q54, p3, p16, p2, p12 found in e_1892 : 8 factors in 2 terms 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 : The list of inequalities got extended by: An expression with 22 terms e_1837 is a consequence of e_1891. e_1830 is a consequence of e_1891. e_1902 is a consequence of e_1891. e_1713 is a consequence of e_1891. e_1812 is a consequence of e_1891. e_1689 is a consequence of e_1891. Substitution of q53 by an expression in q54, p3, p16, p2, p12 found in e_1897 : 8 factors in 2 terms 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 : The list of inequalities got extended by: An expression with 20 terms Substitution of q22 by an expression in q41, p3, p16 found in e_818 : p3*q41 q22=-------- p16 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 : The list of inequalities got extended by: An expression with 22 terms e_1929 is a consequence of e_1891. e_1930 is a consequence of e_1891. e_1931 is a consequence of e_1891. e_1932 is a consequence of e_1891. e_1933 is a consequence of e_1891. Substitution of q52 by an expression in q54, p3, p12 found in e_1829 : 2 ----*p3*q54 15 q52=------------- p12 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 1 term 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_1617 is a consequence of e_1891. 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 e_1690 is a consequence of e_1891. 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 e_1818 is a consequence of e_1891. 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 e_1859 is a consequence of e_1891. 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 e_1888 is a consequence of e_1599. 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 e_1190 is a consequence of e_1599. 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 e_147 is a consequence of e_1599. 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 e_1155 is a consequence of e_1599. 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 1 term e_1236 is a consequence of e_1599. 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 1 term e_1906 is a consequence of e_1891. 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 2663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2665: Hot list of 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 890 4-Oct-2003 13:29:07, 60 ms (0%), 1317114 occupied, 23682837 free --- Algebraic length reduction of equations : shortening by 1 term Step 2666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1937 is a consequence of e_1599. Step 2668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1938 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 2 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 1 term 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 : shortening by 1 term e_1948 is a consequence of e_1599. Step 2673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_1599. Step 2674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 1 term 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 3 terms 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 1 term 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 1 term 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 1 term 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 1 term e_1409 is a consequence of e_1891. 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 e_1818 is a consequence of e_1891. 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 e_1843 is a consequence of e_1891. 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 1 term e_1888 is a consequence of e_1599. 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 1 term 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 e_1811 is a consequence of e_1864. 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 e_263 is a consequence of e_1864. 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 1 term e_1729 is a consequence of e_1864. 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 e_1155 is a consequence of e_1891. 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 1 term e_1820 is a consequence of e_1891. 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 1 term e_1236 is a consequence of e_1891. 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 2720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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 e_1932 is a consequence of e_1599. 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 e_1935 is a consequence of e_1422. 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 2 terms 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 e_1945 is a consequence of e_1422. 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 e_1958 is a consequence of e_1864. 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 2 terms 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 e_1961 is a consequence of e_1891. 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 e_1844 is a consequence of e_1891. 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 3 terms 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 e_1864 is a consequence of e_1759 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 e_1900 is a consequence of e_1599. 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 e_1843 is a consequence of e_1599. 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 e_1874 is a consequence of e_1599. 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 e_1888 is a consequence of e_1599. 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 e_1640 is a consequence of e_1599. 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 e_1190 is a consequence of e_1599. 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 e_1813 is a consequence of e_1599. 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 e_147 is a consequence of e_1599. 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 e_1393 is a consequence of e_1599. 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 e_1811 is a consequence of e_1599. 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 e_1622 is a consequence of e_1599. 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 2 terms e_884 is a consequence of e_1891. 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 3 terms e_1906 is a consequence of e_1891. 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 2 terms e_1682 is a consequence of e_1891. 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 2 terms 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 2 terms e_1851 is a consequence of e_1891. 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 2 terms 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 2 terms 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 2 terms 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 2 terms 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 4 terms e_1240 is a consequence of e_1891. 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 1 term 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 4 terms e_1950 is a consequence of e_1891. 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 : *** Garbage collection starting *** GC 891 4-Oct-2003 13:29:10, 60 ms (0%), 1307754 occupied, 23692195 free shortening by 1 term e_1772 is a consequence of e_1891. 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 e_1932 is a consequence of e_1599. 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 e_1876 is a consequence of e_1891. 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 e_1935 is a consequence of e_1599. 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 e_1865 is a consequence of e_1599. 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 e_1937 is a consequence of e_1891. 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 e_1478 is a consequence of e_1599. 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 1 term e_1938 is a consequence of e_1599. 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 1 term 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 1 term 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 : shortening by 1 term e_1664 is a consequence of e_1599. 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 1 term e_1945 is a consequence of e_1599. 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 e_1904 is a consequence of e_1599. 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 e_1659 is a consequence of e_1599. 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 2 terms e_1916 is a consequence of e_1599. 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 2 terms 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 e_1634 is a consequence of e_1599. 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 e_1885 is a consequence of e_1599. 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 : shortening by 1 term e_1484 is a consequence of e_1891. e_1484 is a consequence of e_893. 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 : shortening by 1 term 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 : shortening by 1 term Step 2838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 2844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_1599. Step 2846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1526 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 1 term e_1899 is a consequence of e_1599. 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_1965 is a consequence of e_1599. Step 2849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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_1863 is a consequence of e_1599. Step 2850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1901 is a consequence of e_1599. Step 2851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1864 is a consequence of e_1599. Step 2852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1866 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_838 is a consequence of e_1930. Step 2854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1809 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_1933 is a consequence of e_1930. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_1900 is a consequence of e_1930. 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 e_1903 is a consequence of e_1599. 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 1 term e_1843 is a consequence of e_1599. 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 1 term e_1821 is a consequence of e_1599. 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 1 term 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_1888 is a consequence of e_1930. 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 1 term 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 e_1680 is a consequence of e_1599. 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 1 term e_1190 is a consequence of e_1599. 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 e_1624 is a consequence of e_1599. 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 e_1813 is a consequence of e_1599. 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 : --- Algebraic length reduction of equations : shortening by 2 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 1 term 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 2 terms 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 1 term 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 1 term 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 e_1633 is a consequence of e_1599. 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 e_1413 is a consequence of e_1599. 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 e_1898 is a consequence of e_1599. 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 e_884 is a consequence of e_1599. 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 e_1970 is a consequence of e_1599. 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 1 term e_1815 is a consequence of e_1599. 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 1 term e_1752 is a consequence of e_1599. 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 e_735 is a consequence of e_1599. 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 1 term e_1860 is a consequence of e_1599. 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 1 term e_1769 is a consequence of e_1599. 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 e_1682 is a consequence of e_1599. 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 e_1971 is a consequence of e_1599. 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 e_1313 is a consequence of e_1599. e_1313 is a consequence of e_935. 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 1 term e_1968 is a consequence of e_1599. 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q38 from e_1906 and e_1882. e_1882: 0=(2*q34 + q38)*p3 is replaced by e_1872: 0=p3*q34 e_1872 is a consequence of e_1859. 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 : --- Length reducing decoupling steps : Eliminate q34 from e_1854 and e_1718. e_1718: 0=(q34 + q38)*p1 is replaced by e_1918: 0=p1*q38 e_1918 is a consequence of e_1881. 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1154 and e_1677. e_1677: 0=(q43 + 2*q47)*p3 is replaced by e_1952: 0=p3*q43 e_1952 is a consequence of e_823. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 892 4-Oct-2003 13:29:14, 50 ms (0%), 1290181 occupied, 23709770 free Eliminate q49 from e_855 and e_1588. e_1588: 10 terms, 40 factors, with derivatives of functions of all variables: 3 2 (q49,q38,q34,p14,p10,p8,p4,p12 ,p12 ,p12) is replaced by e_1951: 6 terms, 12 factors, with derivatives of functions of all variables: (q38,q34,p14,p8,p4,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 893 4-Oct-2003 13:29:17, 70 ms (0%), 1300201 occupied, 23699749 free Eliminate q49 from e_856 and e_94. e_94: 9 terms, 36 factors, with derivatives of functions of all variables: 2 (q49,q47,q46,q43,q41,p10,p16,p2,p12 ,p12) is replaced by e_1754: 5 terms, 10 factors, with derivatives of functions of all variables: (q47,q46,q43,q41,p10,p16,p2) 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 : The list of inequalities got extended by: An expression with 25 terms Substitution of q47 by an expression in q46, q43, q41, p10, p16, p2 found in e_1754 : 18 factors in 5 terms 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 1 term 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 2 terms e_1876 is a consequence of e_1686. 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 1 term e_1822 is a consequence of e_1320. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 894 4-Oct-2003 13:29:20, 50 ms (0%), 1294677 occupied, 23705274 free Eliminate q49 from e_859 and e_868. e_868: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q54,q49,q46,p10 ,p10,p16,p2,p12 ,p12) is replaced by e_1934: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q54,q46,q41,p10,p16 ,p16,p2) 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q54 by an expression in q46, q41, p10, p16, p2 found in e_1934 : 12 factors in 3 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 e_1847 is a consequence of e_1320. 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 e_1945 is a consequence of e_1616. 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 e_1908 is a consequence of e_1320. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 895 4-Oct-2003 13:29:23, 60 ms (0%), 1303469 occupied, 23696481 free Eliminate q38 from e_1951 and e_1387. e_1387: 11 terms, 44 factors, with derivatives of functions of all variables: 3 2 (q49,q38,q34,p14,p10,p4,p2,p12 ,p12 ,p12) is replaced by e_1659: 11 terms, 44 factors, with derivatives of functions of all variables: 3 2 (q49,q34,p14,p10,p8,p4,p2,p12 ,p12 ,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 896 4-Oct-2003 13:29:26, 50 ms (0%), 1292873 occupied, 23707073 free *** Garbage collection starting *** GC 897 4-Oct-2003 13:29:30, 60 ms (0%), 1293443 occupied, 23706503 free *** Garbage collection starting *** GC 898 4-Oct-2003 13:29:34, 60 ms (0%), 1299388 occupied, 23700557 free --- Factorization to subcases leading to substitutions : factorizing e_1759 we get the alternative equations : 0=q49 0=p1 New level : 1.1.1.1.1.1.2.1.2.2.1. CRACK is now called with the new equation e_1809 : 0=q49 e_1734,e_1236,e_1939,e_147,e_1776,e_1910,e_935,e_1258,e_1930,e_855,e_856,e_872, e_1599 are consequences of e_1809 Step 2919: 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 15 terms p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q51,q49,q46,q43,q41,q38,q34,p14,p10,p8,p4,p3,p1,p16,p2,p12 New ordering: q51,q49,q46,q43,q41,q38,q34,p14,p10,p8,p4,p1,p3,p16,p2,p12 The list of inequalities got extended by: An expression with 23 terms e_1810 is a consequence of e_1879. e_1933 is a consequence of e_1906. e_1980 is a consequence of e_1320.e_1616 is a consequence of e_1980 e_1981 is a consequence of e_1906.e_1881 is a consequence of e_1981 e_1982 is a consequence of e_1859. e_1984 is a consequence of e_1320. e_1987 is a consequence of e_1879. e_1993 is a consequence of e_1859. Substitution of q49 found in e_1809 : q49=0 Step 2920: Hot list 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 7 terms q46 The lexicographical ordering of unknowns is changed because q46 has to be non-zero, giving q46 a low priority. Old ordering: q51,q46,q43,q41,q38,q34,p14,p10,p8,p4,p1,p3,p16,p2,p12 New ordering: q51,q43,q41,q38,q34,q46,p14,p10,p8,p4,p1,p3,p16,p2,p12 The list of inequalities got extended by: q51 The lexicographical ordering of unknowns is changed because q51 has to be non-zero, giving q51 a low priority. Old ordering: q51,q43,q41,q38,q34,q46,p14,p10,p8,p4,p1,p3,p16,p2,p12 New ordering: q43,q41,q38,q34,q51,q46,p14,p10,p8,p4,p1,p3,p16,p2,p12 The list of inequalities got extended by: An expression with 13 terms e_1988 is a consequence of e_823.e_1686 is a consequence of e_1988 e_1964 is a consequence of e_1906. 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: q43,q41,q38,q34,q51,q46,p14,p10,p8,p4,p1,p3,p16,p2,p12 New ordering: q43,q41,q38,q34,q51,q46,p14,p10,p8,p1,p4,p3,p16,p2,p12 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q43,q41,q38,q34,q51,q46,p14,p10,p8,p1,p4,p3,p16,p2,p12 New ordering: q43,q41,q38,q34,q51,q46,p14,p8,p1,p10,p4,p3,p16,p2,p12 e_1986 is a consequence of e_823. e_1990 is a consequence of e_823.e_1989 is a consequence of e_1994 Substitution of q41 found in e_1320 : q41=0 Step 2921: Hot list 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_1992 is a consequence of e_1859.e_1854 is a consequence of e_1992 Substitution of q43 found in e_823 : q43=0 leads to a contradiction in : 13 factors in 4 terms Time: 0 ms Time: 0 ms Time: 40 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: q51,q49,q46,q43,q41,q38,q34,p14,p10,p8,p4,p3,p1,p16,p2,p12 New ordering: q51,q49,q46,q43,q41,q38,q34,p14,p10,p8,p3,p1,p4,p16,p2,p12 The list of inequalities got extended by: q49 The lexicographical ordering of unknowns is changed because q49 has to be non-zero, giving q49 a low priority. Old ordering: q51,q49,q46,q43,q41,q38,q34,p14,p10,p8,p3,p1,p4,p16,p2,p12 New ordering: q51,q46,q43,q41,q38,q34,q49,p14,p10,p8,p3,p1,p4,p16,p2,p12 New level : 1.1.1.1.1.1.2.1.2.2.2. CRACK is now called with the new equation e_1809 : 0=p1 e_1686,e_1616,e_1940,e_1630,e_1881,e_1854 are consequences of e_1809 Step 2922: Hot list of urgent steps : 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: q51,q46,q43,q41,q38,q34,q49,p14,p10,p8,p3,p1,p4,p16,p2,p12 New ordering: q51,q46,q43,q41,q38,q34,q49,p14,p10,p8,p1,p3,p4,p16,p2,p12 The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q51,q46,q43,q41,q38,q34,q49,p14,p10,p8,p1,p3,p4,p16,p2,p12 New ordering: q51,q46,q43,q41,q38,q34,q49,p14,p8,p1,p10,p3,p4,p16,p2,p12 The list of inequalities got extended by: p1 Substitution of p1 found in e_1809 : p1=0 leads to a contradiction in : 0=3*p1 - p3 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. *** Garbage collection starting *** GC 899 4-Oct-2003 13:29:40, 50 ms (0%), 1178158 occupied, 23821793 free 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: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q58,q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42, q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q28,q23,q22,q21,q19,q18,q17,q16, q15,q13,q11,q10,q7,q6,q5,q4,q2,p16,p14,p10,p8,p7,p4,p3,p2,p1,p12 New ordering: q58,q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42, q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q28,q23,q22,q21,q19,q18,q17,q16, q15,q13,q11,q10,q7,q6,q5,q4,q2,p16,p14,p10,p8,p4,p3,p2,p1,p7,p12 New level : 1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1642 : 0=q54 e_1413,e_1409,e_1236,e_823,e_1258,e_1240,e_1155,e_263,e_68,e_531,e_893,e_1265, e_1320,e_147,e_1190 are consequences of e_1642 Step 2923: 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 35 terms e_1179 is a consequence of e_939. e_1342 is a consequence of e_939. e_873 is a consequence of e_939. e_1563 is a consequence of e_939. e_1391 is a consequence of e_939. e_1393 is a consequence of e_939. Substitution of q54 found in e_1642 : q54=0 Step 2924: Hot list 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 27 terms e_1496 is a consequence of e_1447 e_1082 is a consequence of e_1450. Substitution of q49 found in e_849 : q49=0 Step 2925: Hot list 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_1566 is a consequence of e_1263.e_1288 is a consequence of e_1566 e_1568 is a consequence of e_1263. e_1569 is a consequence of e_1263. e_1570 is a consequence of e_1263. e_1572 is a consequence of e_1263. e_1573 is a consequence of e_1263. Substitution of q33 found in e_686 : q33=0 Step 2926: Hot list 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 q52 found in e_939 : q52=0 Step 2927: Hot list 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 e_1530 is a consequence of e_1533 e_1191 is a consequence of e_1528. Substitution of q22 found in e_1450 : q22=0 Step 2928: Hot list 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_1527 is a consequence of e_521. Substitution of q18 found in e_1533 : q18=0 Step 2929: Hot list 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_1555 is a consequence of e_1581. Substitution of q23 by an expression in q21 found in e_1528 : 1 q23= - ---*q21 2 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 29 terms e_1350 is a consequence of e_1639. Substitution of q56 by an expression in q35, p16, p3, p7, p12 found in e_1351 : p16*p3*q35 q56=------------ p12*p7 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 : The list of inequalities got extended by: An expression with 22 terms e_521 is a consequence of e_1581.e_1589 is a consequence of e_1526 e_1546 is a consequence of e_1526. e_1449 is a consequence of e_1526. *** Garbage collection starting *** GC 900 4-Oct-2003 13:29:45, 80 ms (0%), 1345988 occupied, 23653952 free Substitution of q46 by an expression in q51, p2, p12 found in e_1544 : 2*p2*q51 q46=---------- p12 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 : The list of inequalities got extended by: An expression with 23 terms e_1579 is a consequence of e_1355. e_1434 is a consequence of e_1447. Substitution of q41 by an expression in q35, p16, p3, p7, p12 found in e_604 : 9 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 24 terms e_1454 is a consequence of e_1472.e_1355 is a consequence of e_1404 e_1466 is a consequence of e_1404. Substitution of q34 by an expression in q35, p14, p12 found in e_1357 : - p12*q35 + p14*q35 q34=---------------------- p12 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 : The list of inequalities got extended by: An expression with 25 terms Substitution of q16 by an expression in q39, q5, p1, p7 found in e_1272 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 25 terms e_1599 is a consequence of e_1340. Substitution of q45 by an expression in q10, q5, p1, p7 found in e_1197 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 27 terms Substitution of q11 by an expression in q57, q55, q30, p1, p7 found in e_1065 : 14 factors in 4 terms 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 32 terms The list of inequalities got extended by: An expression with 29 terms e_1487 is a consequence of e_1447. *** Garbage collection starting *** GC 901 4-Oct-2003 13:29:48, 70 ms (0%), 1385476 occupied, 23614462 free Substitution of q6 by an expression in q35, p14, p10, p12 found in e_487 : 8 factors in 4 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 : The list of inequalities got extended by: An expression with 33 terms Substitution of q21 by an expression in q53, q19, p10, p12 found in e_1601 : 11 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 45 terms Substitution of q53 by an expression in q48, q36, q4, q2, p3, p7 found in e_1106 : 18 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 31 terms Substitution of q40 by an expression in q57, q55, q30, q28, p1, p7 found in e_1094 : 16 factors in 5 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 1 term 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 2 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 : The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 31 terms e_1544 is a consequence of e_1485 e_1777 is a consequence of e_1485. e_1488 is a consequence of e_1485. e_1487 is a consequence of e_1485. e_487 is a consequence of e_1485. e_1589 is a consequence of e_1485. e_849 is a consequence of e_1485. e_1561 is a consequence of e_1485. e_1562 is a consequence of e_1485. e_1272 is a consequence of e_1485. e_1653 is a consequence of e_1485. *** Garbage collection starting *** GC 902 4-Oct-2003 13:29:51, 80 ms (0%), 1434592 occupied, 23565345 free e_1664 is a consequence of e_1485. e_1760 is a consequence of e_1485. e_1767 is a consequence of e_1485. e_1778 is a consequence of e_1485. Substitution of q35 by an expression in q4, p2, p7 found in e_1449 : p2*q4 q35=------- p7 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 term 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 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 1 term 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 3 terms e_1487 is a consequence of e_1526. 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 2 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 3 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 e_1272 is a consequence of e_1485. 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 2 terms 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 2 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 2 terms 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 1 term 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 1 term 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 1 term e_1873 is a consequence of e_1485. 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 1 term 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 1 term 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 2 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 2 terms 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 2 terms Step 2994: Hot list of urgent steps : --- Substitution of <=2 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 903 4-Oct-2003 13:29:55, 80 ms (0%), 1494372 occupied, 23505560 free shortening by 1 term 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 2 terms 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 2 terms 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 2 terms 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 2 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 2 terms 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 2 terms 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 2 terms 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 1 term 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 e_1106 is a consequence of e_1778. 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 2 terms 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 : The list of inequalities got extended by: An expression with 31 terms e_1660 is a consequence of e_1485. e_1769 is a consequence of e_1485. Substitution of q43 by an expression in q4, p16, p7 found in e_1798 : p16*q4 q43=-------- p7 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 1 term 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 2 terms 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 2 terms 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 : The list of inequalities got extended by: An expression with 31 terms e_1544 is a consequence of e_1485. Substitution of q51 by an expression in q4, p10, p7 found in e_1874 : 1 ---*p10*q4 2 q51=------------ p7 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 1 term 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 1 term 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 1 term 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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 1 term 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 1 term 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 1 term 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 904 4-Oct-2003 13:29:58, 80 ms (0%), 1491924 occupied, 23508010 free shortening by 1 term 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 1 term e_1894 is a consequence of e_1598. 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 4 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 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 4 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 2 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 : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 32 terms e_1657 is a consequence of e_1485. Substitution of q38 by an expression in q4, p14, p7, p12 found in e_1782 : 8 factors in 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 2 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 1 term 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 : The list of inequalities got extended by: An expression with 48 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q7 by an expression in q36, q5, q2, p14, p12 found in e_1854 : 11 factors in 5 terms 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 3098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 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 1 term 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 : *** Garbage collection starting *** GC 905 4-Oct-2003 13:30:02, 80 ms (0%), 1496498 occupied, 23503432 free 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 4 terms e_1774,e_487,e_1859,e_1829 are consequences of e_1760 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 4 terms e_1752 is a consequence of e_1760. 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 e_1851 is a consequence of e_1778. 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 3 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 4 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 1 term 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 5 terms e_1662 is a consequence of e_1760. 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 5 terms e_1104 is a consequence of e_1760. 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 3 terms e_1906 is a consequence of e_1106. 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 4 terms 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 6 terms 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 2 terms e_1848 is a consequence of e_1485. 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 e_1663 is a consequence of e_1485. 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 1 term 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 : --- 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 3 terms 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 4 terms 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 5 terms 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 3 terms 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 3 terms 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 : shortening by 3 terms 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 3 terms 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 4 terms 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 3 terms 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 2 terms 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 4 terms 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 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_1913 is a consequence of e_1760. 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 5 terms e_1914 is a consequence of e_1760. 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 3 terms 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 1 term 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 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 1 term 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 2 terms 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 3 terms 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 : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms Step 3165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3166: Hot list of 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 q47 by an expression in q57, q4, p16, p14, p10, p7, p12 found in e_1846 : 15 factors in 5 terms Step 3167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3171: Hot list of urgent steps : --- Substitution of <=2 terms, only 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 3172: Hot list of urgent steps : --- Substitution of <=2 terms, only 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 3173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3177: Hot list of urgent steps : --- Substitution of <=2 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 13:30:06, 80 ms (0%), 1496236 occupied, 23503693 free shortening by 6 terms e_1823 is a consequence of e_1760. Step 3178: Hot list of urgent steps : --- Substitution of <=2 terms, only 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_1856 is a consequence of e_1760. Step 3179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of 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 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 4 terms 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 : --- Algebraic length reduction of equations : shortening by 4 terms 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 6 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 1 term 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 1 term 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 1 term 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 3 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 1 term 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 1 term 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 e_1810 is a consequence of e_1885. 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 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 : shortening by 4 terms Step 3203: Hot list of urgent steps : --- Substitution of <=2 terms, only 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 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 3 terms 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 5 terms 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 3 terms 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 3 terms 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 6 terms 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 2 terms 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 2 terms 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 3 terms 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 2 terms 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 2 terms 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 3 terms 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 3 terms 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 5 terms 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 3 terms 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 2 terms 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 4 terms 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 4 terms e_1835 is a consequence of e_1906. 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 3 terms 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 3 terms 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 2 terms 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 3 terms 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 1 term 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 2 terms 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 1 term 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 2 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 5 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 2 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 2 terms 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 6 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 5 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 6 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 1 term 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 2 terms 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 : Substitution of q7 by an expression in q36, q5, q2, p14, p12 found in e_1854 : 11 factors in 5 terms 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 5 terms 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 4 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 : Substitution of q7 by an expression in q36, q5, q2, p14, p12 found in e_1854 : 11 factors in 5 terms 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 : *** Garbage collection starting *** GC 907 4-Oct-2003 13:30:10, 70 ms (0%), 1482704 occupied, 23517228 free shortening by 5 terms 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 e_1877 is a consequence of e_1263. 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : shortening by 1 term e_1840 is a consequence of e_1263. 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 908 4-Oct-2003 13:30:14, 90 ms (0%), 1481582 occupied, 23518350 free --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term e_1894 is a consequence of e_1263. 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q5 from e_1759 and e_1652. e_1652: 0=(q10 + 2*q5)*p2 is replaced by e_1848: 0=p2*q10 e_1848 is a consequence of e_1903. 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 : --- Length reducing decoupling steps : Eliminate q17 from e_1263 and e_1668. e_1668: 0=(q17 - 2*q44)*p16 is replaced by e_1781: 0=p16*q44 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 e_1813 is a consequence of e_1263. 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 : --- Length reducing decoupling steps : Eliminate q17 from e_1263 and e_1744. e_1744: 0=(6*q17 + q42)*p16 is replaced by e_1656: 0=p16*q42 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 e_1827 is a consequence of e_1263. 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 : *** Garbage collection starting *** GC 909 4-Oct-2003 13:30:18, 80 ms (0%), 1479636 occupied, 23520295 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 910 4-Oct-2003 13:30:22, 90 ms (0%), 1669505 occupied, 23330330 free *** Garbage collection starting *** GC 911 4-Oct-2003 13:30:26, 80 ms (0%), 1678699 occupied, 23321141 free *** Garbage collection starting *** GC 912 4-Oct-2003 13:30:30, 90 ms (0%), 1686917 occupied, 23312938 free *** Garbage collection starting *** GC 913 4-Oct-2003 13:30:34, 90 ms (0%), 1695025 occupied, 23304808 free *** Garbage collection starting *** GC 914 4-Oct-2003 13:30:38, 90 ms (0%), 1703571 occupied, 23296286 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1767 we get the alternative equations : 0=p16 0=q2 New level : 1.1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_2038 : 0=p16 e_1885,e_936,e_1427,e_1801,e_1263,e_1812,e_989,e_1270,e_914,e_1289,e_1298,e_1565 ,e_1567,e_1817,e_1852,e_1781,e_1656 are consequences of e_2038 Step 3295: Hot list of urgent steps : The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: g0099*p14 + g0101*p12 + g0103*p10 The list of inequalities got extended by: An expression with 29 terms e_1874 is a consequence of e_1666. Substitution of p16 found in e_2038 : p16=0 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 : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q58 by an expression in q57, p14, p7, p12 found in e_1810 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 37 terms *** Garbage collection starting *** GC 915 4-Oct-2003 13:30:41, 80 ms (0%), 1507257 occupied, 23492675 free Substitution of q32 by an expression in q42, q30, p14, p12 found in e_1700 : 7 factors in 3 terms 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 916 4-Oct-2003 13:30:45, 120 ms (0%), 1666386 occupied, 23333461 free *** Garbage collection starting *** GC 917 4-Oct-2003 13:30:50, 120 ms (0%), 1694369 occupied, 23305483 free Eliminate q30 from e_1168 and e_1936. e_1936: (#) 4 terms, 6 factors, with derivatives of functions of all variables: 2 (q42,q30,p14,p4,p12 ,p12) is replaced by e_1968: 0=q42*p14*(p12 - 2*p4) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 918 4-Oct-2003 13:30:54, 100 ms (0%), 1689268 occupied, 23310554 free Eliminate q4 from e_1760 and e_1793. e_1793: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q36,q4,p14,p2,p12 ,p12) is replaced by e_1970: 0=q36*p2*(p12 - 2*p14) 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 : --- Length reducing decoupling steps : Eliminate q4 from e_1760 and e_1658. e_1658: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q36,q4,p14,p2,p12 ,p12) is replaced by e_1972: 0=q36*p2*(p12 - 2*p14) e_1972 is a consequence of e_1970. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 919 4-Oct-2003 13:30:59, 110 ms (0%), 1666944 occupied, 23332905 free *** Garbage collection starting *** GC 920 4-Oct-2003 13:31:04, 90 ms (0%), 1508436 occupied, 23491493 free *** Garbage collection starting *** GC 921 4-Oct-2003 13:31:08, 100 ms (0%), 1587607 occupied, 23412284 free *** Garbage collection starting *** GC 922 4-Oct-2003 13:31:13, 100 ms (0%), 1649126 occupied, 23350737 free *** Garbage collection starting *** GC 923 4-Oct-2003 13:31:17, 130 ms (0%), 1703966 occupied, 23295868 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1590 we get the alternative equations : 0=q4 0=p8 New level : 1.1.1.1.1.1.2.2.1.1. CRACK is now called with the new equation e_2027 : 0=q4 e_1893,e_1907,e_1518,e_1197,e_1760,e_1485 are consequences of e_2027 Step 3304: 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 37 terms The list of inequalities got extended by: An expression with 24 terms e_2030 is a consequence of e_1970. e_2031 is a consequence of e_1970. e_2032 is a consequence of e_1970. Substitution of q4 found in e_2027 : q4=0 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 924 4-Oct-2003 13:31:21, 80 ms (0%), 1551169 occupied, 23448750 free *** Garbage collection starting *** GC 925 4-Oct-2003 13:31:26, 90 ms (0%), 1627424 occupied, 23372462 free *** Garbage collection starting *** GC 926 4-Oct-2003 13:31:31, 90 ms (0%), 1684457 occupied, 23315393 free *** Garbage collection starting *** GC 927 4-Oct-2003 13:31:35, 90 ms (0%), 1567484 occupied, 23432431 free *** Garbage collection starting *** GC 928 4-Oct-2003 13:31:40, 90 ms (0%), 1648204 occupied, 23351655 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1884 we get the alternative equations : 0=q30 0=p8 New level : 1.1.1.1.1.1.2.2.1.1.1. CRACK is now called with the new equation e_1700 : 0=q30 e_1168,e_350 are consequences of e_1700 Step 3306: 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 34 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q30 found in e_1700 : q30=0 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 : The list of inequalities got extended by: An expression with 35 terms Substitution of q15 by an expression in q57, q55, p3, p7 found in e_1949 : 10 factors in 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 : The list of inequalities got extended by: An expression with 36 terms Substitution of q13 by an expression in q57, q55, p3, p7 found in e_1950 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 39 terms Substitution of q28 by an expression in q57, q42, p14, p10, p12 found in e_1948 : 12 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 42 terms Substitution of q17 by an expression in q57, q31, p3, p1, p7 found in e_1953 : 18 factors in 5 terms 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 3 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 3 terms 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 : *** Garbage collection starting *** GC 929 4-Oct-2003 13:31:43, 80 ms (0%), 1551300 occupied, 23448633 free 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1995 and e_1788. e_1788: 0=(3*q55 + q57)*p2*p1 is replaced by e_2011: 0=p1*p2*q55 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 : --- Length reducing decoupling steps : Eliminate q57 from e_1993 and e_1778. e_1778: 0=(3*q55 + q57)*p8*p1 is replaced by e_2013: 0=p1*p8*q55 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 e_1950 is a consequence of e_1803. 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2016 and e_1999. e_2016: 0=p2*(2*q55 + q57)*p3 is replaced by e_2022: 0=p2*p3*q55 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 : --- Length reducing decoupling steps : Eliminate q55 from e_2022 and e_1999. e_1999: 0=p2*(q55 + q57)*p3 is replaced by e_2024: 0=p2*p3*q57 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2015 and e_1998. e_2015: 0=p8*(2*q55 + q57)*p3 is replaced by e_2026: 0=p3*p8*q55 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 : --- Length reducing decoupling steps : Eliminate q55 from e_2026 and e_1998. e_1998: 0=p8*(q55 + q57)*p3 is replaced by e_1485: 0=p3*p8*q57 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 930 4-Oct-2003 13:31:48, 80 ms (0%), 1591958 occupied, 23407951 free Eliminate q42 from e_1966 and e_1518. e_1518: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q57,q42,p14,p10,p2,p12) is replaced by e_1948: 0=q57*p2*(3*p10 + p12 - p14) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 931 4-Oct-2003 13:31:52, 80 ms (0%), 1550471 occupied, 23449462 free Eliminate q42 from e_1964 and e_1197. e_1197: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q57,q42,p14,p10,p8,p12) is replaced by e_2061: 0=q57*p8*(3*p10 + p12 - p14) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 932 4-Oct-2003 13:31:57, 90 ms (0%), 1739927 occupied, 23259903 free Eliminate q31 from e_1431 and e_1797. e_1797: (#) 8 terms, 10 factors, with derivatives of functions of all variables: (q57,q31,p4,p3,p1,p7,p12) is replaced by e_2063: 0=q57*(p12 - 2*p4)*p1 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 933 4-Oct-2003 13:32:01, 90 ms (0%), 1697123 occupied, 23302737 free *** Garbage collection starting *** GC 934 4-Oct-2003 13:32:06, 90 ms (0%), 1686396 occupied, 23313477 free *** Garbage collection starting *** GC 935 4-Oct-2003 13:32:10, 90 ms (0%), 1681682 occupied, 23318186 free *** Garbage collection starting *** GC 936 4-Oct-2003 13:32:15, 80 ms (0%), 1688055 occupied, 23311811 free *** Garbage collection starting *** GC 937 4-Oct-2003 13:32:19, 90 ms (0%), 1697537 occupied, 23302330 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1561 we get the alternative equations : 0=q2 0=p2 New level : 1.1.1.1.1.1.2.2.1.1.1.1. CRACK is now called with the new equation e_2135 : 0=q2 e_1659 is a consequence of e_2135 Step 3330: 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 22 terms The list of inequalities got extended by: An expression with 34 terms e_1932 is a consequence of e_1598. Substitution of q2 found in e_2135 : q2=0 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 : 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 938 4-Oct-2003 13:32:23, 90 ms (0%), 1677149 occupied, 23322734 free *** Garbage collection starting *** GC 939 4-Oct-2003 13:32:27, 90 ms (0%), 1590881 occupied, 23409047 free *** Garbage collection starting *** GC 940 4-Oct-2003 13:32:31, 90 ms (0%), 1729485 occupied, 23270366 free *** Garbage collection starting *** GC 941 4-Oct-2003 13:32:36, 90 ms (0%), 1643181 occupied, 23356722 free Eliminate q39 from e_1340 and e_1884. e_1884: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q39,q37,q10,q5,p8,p1,p7 ,p7) is replaced by e_2130: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q37,q10,q5,p8,p1,p7 ,p7) 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 : --- Length reducing decoupling steps : Eliminate q39 from e_2110 and e_1994. e_1994: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q39,q19,q10,q5,p8,p1,p7) is replaced by e_2131: 0=(q10 + q19 + 2*q5)*p8 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 : --- Length reducing decoupling steps : Eliminate q19 from e_2131 and e_2098. e_2098: 4 terms, 8 factors, with derivatives of functions of all variables: (q37,q19,q10,q5,p8,p3) is replaced by e_1561: 3 terms, 6 factors, with derivatives of functions of all variables: (q37,q10,q5,p8,p3) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 942 4-Oct-2003 13:32:40, 90 ms (0%), 1676521 occupied, 23323361 free Eliminate q36 from e_1931 and e_1168. e_1168: (#) 5 terms, 16 factors, with derivatives of functions of all variables: 2 (q48,q36,q19,p10 ,p10,p3,p7,p12) is replaced by e_2138: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q48,q19,p10 ,p10,p12) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 943 4-Oct-2003 13:32:45, 100 ms (0%), 1768969 occupied, 23230850 free *** Garbage collection starting *** GC 944 4-Oct-2003 13:32:49, 90 ms (0%), 1691249 occupied, 23308630 free *** Garbage collection starting *** GC 945 4-Oct-2003 13:32:54, 80 ms (0%), 1625111 occupied, 23374805 free *** Garbage collection starting *** GC 946 4-Oct-2003 13:32:59, 90 ms (0%), 1771832 occupied, 23227974 free *** Garbage collection starting *** GC 947 4-Oct-2003 13:33:03, 90 ms (0%), 1703888 occupied, 23295966 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1874 we get the alternative equations : 0=p10 0=q5 New level : 1.1.1.1.1.1.2.2.1.1.1.1.1. CRACK is now called with the new equation e_2035 : 0=p10 e_2138 is a consequence of e_2035 Step 3356: Hot list of urgent steps : The list of inequalities got extended by: g0099*p14 + g0101*p12 The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 29 terms e_2076 is a consequence of e_1340. e_2139 is a consequence of e_2133. e_2141 is a consequence of e_2137. e_2142 is a consequence of e_1340.e_2148,e_2149 are consequences of e_2152 e_2153 is a consequence of e_2152. e_2166 is a consequence of e_1896. e_2167 is a consequence of e_1659.e_2133 is a consequence of e_2182 e_2183 is a consequence of e_2182. e_2187 is a consequence of e_2186. e_2199 is a consequence of e_2186. e_2201 is a consequence of e_2186.e_2186 is a consequence of e_2227 e_2228 is a consequence of e_2137. e_2239 is a consequence of e_2227. e_2240 is a consequence of e_2227. Substitution of p10 found in e_2035 : p10=0 Step 3357: Hot list 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_2015,e_1998 are consequences of e_2132 Substitution of q44 found in e_1612 : q44=0 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 : The list of inequalities got extended by: An expression with 27 terms Substitution of q19 by an expression in q36, p3, p7 found in e_1168 : 1 - ---*p3*q36 3 q19=--------------- p7 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 : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 23 terms e_2003,e_2091 are consequences of e_2150 e_1994 is a consequence of e_2150. e_2161 is a consequence of e_2150. e_2195 is a consequence of e_2150. e_2196 is a consequence of e_2150. *** Garbage collection starting *** GC 948 4-Oct-2003 13:33:06, 90 ms (0%), 1615489 occupied, 23384440 free Substitution of q48 by an expression in q36, p3, p7 found in e_2152 : 1 - ---*p3*q36 9 q48=--------------- p7 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 18 terms e_1778 is a consequence of e_1903. Substitution of q37 by an expression in q10, p8, p7 found in e_2176 : p8*q10 q37=-------- p7 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 : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 19 terms e_2175 is a consequence of e_2150. Substitution of q10 by an expression in q36, q5, p14, p3, p7, p12 found in e_2156 : 11 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q42 by an expression in q57, q55, p3, p7 found in e_2144 : 10 factors in 3 terms 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 : shortening by 1 term 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 e_2087 is a consequence of e_2150. 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 e_2088 is a consequence of e_2150. 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 2 terms e_2089 is a consequence of e_2150. 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 2 terms e_2090 is a consequence of e_2150. 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 : shortening by 1 term e_1168 is a consequence of e_2150. 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 3 terms e_2099 is a consequence of e_2150. 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 3 terms e_2091 is a consequence of e_2150. 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 3 terms e_2003 is a consequence of e_2150. 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 3 terms e_1994 is a consequence of e_2150. 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 2 terms e_2195 is a consequence of e_2150. 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 2 terms e_2196 is a consequence of e_2150. 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 2 terms 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 3 terms 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 2 terms 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 : shortening by 2 terms 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 : shortening by 2 terms 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 2 terms 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 2 terms 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 e_2221 is a consequence of e_2133 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 : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 21 terms e_2201 is a consequence of e_2150. e_2236 is a consequence of e_2150. e_1768 is a consequence of e_2150. e_2160 is a consequence of e_2150. e_2193 is a consequence of e_2150. *** Garbage collection starting *** GC 949 4-Oct-2003 13:33:10, 80 ms (0%), 1618851 occupied, 23381080 free e_1874 is a consequence of e_2150. e_2185 is a consequence of e_2150. e_2139 is a consequence of e_2150. Substitution of q36 by an expression in q39, p3, p7 found in e_2199 : 2*p3*q39 q36=---------- p7 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 4 terms 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 6 terms e_2254 is a consequence of e_2252. 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 : shortening by 3 terms 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 : shortening by 3 terms Step 3396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 : --- Algebraic length reduction of equations : shortening by 4 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 30 terms The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 27 terms e_2264 is a consequence of e_2159. e_2110 is a consequence of e_1759. e_2232 is a consequence of e_2252. e_2249 is a consequence of e_1759. e_2076 is a consequence of e_2159. Substitution of q39 by an expression in q5, p3, p7 found in e_2263 : 10 factors in 3 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_1065 is a consequence of e_2077 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 2 terms 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 10 terms e_2090 is a consequence of e_1759. e_2090 is a consequence of e_2150. 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 2 terms 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 3 terms 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 4 terms 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 2 terms e_2091 is a consequence of e_2077. 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 5 terms e_1810 is a consequence of e_2252. 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 5 terms 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 5 terms 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 2 terms e_1994 is a consequence of e_2133. 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 4 terms e_2233 is a consequence of e_2077. 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 3 terms e_2190,e_2094,e_2100,e_2182,e_2250,e_2133,e_2258 are consequences of e_2176 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 2 terms e_2150 is a consequence of e_2138 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 2 terms 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 2 terms 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 6 terms e_1929 is a consequence of e_2138. 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 2 terms 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 2 terms e_2235 is a consequence of e_2138. 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 4 terms 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 5 terms 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 6 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 5 terms 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 8 terms e_2183 is a consequence of e_2138. 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 6 terms 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 6 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 950 4-Oct-2003 13:33:13, 90 ms (0%), 1676204 occupied, 23323696 free *** Garbage collection starting *** GC 951 4-Oct-2003 13:33:17, 100 ms (0%), 1654237 occupied, 23345674 free Eliminate q57 from e_1485 and e_2015. e_2015: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q57,q55,p14,p8,p3) is replaced by e_1768: 0=p14*p3*p8*q55 e_1768 is a consequence of e_2026. 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2024 and e_1998. e_1998: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q57,q55,p14,p3,p2) is replaced by e_2160: 0=p14*p2*p3*q55 e_2160 is a consequence of e_2022. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 952 4-Oct-2003 13:33:21, 90 ms (0%), 1658474 occupied, 23341430 free *** Garbage collection starting *** GC 953 4-Oct-2003 13:33:25, 100 ms (0%), 1662071 occupied, 23337830 free *** Garbage collection starting *** GC 954 4-Oct-2003 13:33:29, 90 ms (0%), 1655818 occupied, 23344090 free *** Garbage collection starting *** GC 955 4-Oct-2003 13:33:33, 80 ms (0%), 1621087 occupied, 23378838 free *** Garbage collection starting *** GC 956 4-Oct-2003 13:33:37, 100 ms (0%), 1653496 occupied, 23346408 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2176 we get the alternative equations : 0=p1 0=q5 New level : 1.1.1.1.1.1.2.2.1.1.1.1.1.1. CRACK is now called with the new equation e_2336 : 0=p1 e_2204,e_2191,e_2203,e_2227,e_2224,e_2137,e_2098,e_2165,e_2172,e_2135,e_1944, e_1943,e_2063,e_1659,e_1993,e_1995,e_2011,e_2013 are consequences of e_2336 Step 3437: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0036*p3 The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 19 terms e_2087 is a consequence of e_2134. e_2091 is a consequence of e_1797. Substitution of p1 found in e_2336 : p1=0 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 1 term 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 e_2240 is a consequence of e_2228. 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 1 term e_2035 is a consequence of e_2228. 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2166 and e_2088. e_2166: 0=p3*(34*q55 + 19*q57) is replaced by e_2179: 0=p3*q55 e_2022,e_2026 are consequences of e_2179 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 1 term 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 2 terms 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 2 terms 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 2 terms 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 3 terms 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 3 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 2 terms 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 3 terms 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 3 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 3 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 3 terms 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 : *** Garbage collection starting *** GC 957 4-Oct-2003 13:33:41, 90 ms (0%), 1611014 occupied, 23388917 free shortening by 3 terms 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 3 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 2 terms 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 3 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 3 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 : --- Length reducing decoupling steps : Eliminate q55 from e_2179 and e_2088. e_2088: 0=p3*(18*q55 + 19*q57) is replaced by e_2296: 0=p3*q57 e_2269,e_2253,e_1253,e_2144,e_2134,e_2228,e_2024,e_1485 are consequences of e_2296 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 e_1841,e_1924,e_1925 are consequences of e_2298 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 1 term e_2148,e_2161 are consequences of e_2300 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 1 term e_2302 is a consequence of e_2300. 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 1 term e_2303 is a consequence of e_2300. 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 e_2306 is a consequence of e_2132. 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 1 term 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 2 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 2 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 2 terms e_2314 is a consequence of e_2300. 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 2 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 3 terms e_2293,e_2282,e_2154,e_2069,e_1884,e_2109,e_2073,e_1590,e_2132,e_2298,e_2309, e_2296 are consequences of e_2317 Step 3496: Hot list 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 18 terms The list of inequalities got extended by: An expression with 13 terms e_1797 is a consequence of e_2179. e_2274 is a consequence of e_2300. e_2273 is a consequence of e_2300.e_2152,e_1431,e_2300,e_2307,e_2315,e_997, e_1181 are consequences of e_2271 e_2304,e_2311,e_2179 are consequences of e_2277 e_2275 is a consequence of e_2271. e_2272 is a consequence of e_2271. e_2288 is a consequence of e_2271. e_2287 is a consequence of e_2271. e_2286 is a consequence of e_2277. e_2285 is a consequence of e_2277. e_2284 is a consequence of e_2277. e_2283 is a consequence of e_2277. e_2281 is a consequence of e_2271. e_2280 is a consequence of e_2277. e_2278 is a consequence of e_2271. e_2290 is a consequence of e_2277. e_2292 is a consequence of e_2271. e_2295 is a consequence of e_2271. Substitution of q57 found in e_2317 : q57=0 Step 3497: Hot list 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 15 terms e_2294 is a consequence of e_2277. e_2141 is a consequence of e_2277. e_2149 is a consequence of e_2277. e_2291 is a consequence of e_2277. e_2289 is a consequence of e_2277. e_2279 is a consequence of e_2277. e_1168 is a consequence of e_2277. Substitution of q31 found in e_2271 : q31=0 Step 3498: Hot list 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 q5 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: q55,q5,p14,p8,p4,p3,p2,p7,p12 New ordering: q55,q5,p14,p8,p4,p2,p3,p7,p12 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: q55,q5,p14,p8,p4,p2,p3,p7,p12 New ordering: q55,q5,p14,p8,p2,p4,p3,p7,p12 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: q55,q5,p14,p8,p2,p4,p3,p7,p12 New ordering: q55,q5,p8,p2,p14,p4,p3,p7,p12 The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q55 found in e_2277 : q55=0 Step 3499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p2 found in e_1759 : p2=0 Step 3500: Hot list 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 2*p3 - p7 Substitution of p8 found in e_2159 : p8=0 Step 3501: Hot list 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: p14 The list of inequalities got extended by: An expression with 13 terms Substitution of p14 by an expression in p12 found in e_2252 : p14=p12 leads to a contradiction in : 33 factors in 8 terms Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: p1 New level : 1.1.1.1.1.1.2.2.1.1.1.1.1.2. CRACK is now called with the new equation e_2336 : 0=q5 e_1778,e_2198,e_2171,e_2221,e_1636,e_2215,e_2192,e_2187,e_2155,e_2194,e_2163, e_2115,e_2092,e_2201,e_2252,e_2077,e_2138,e_2096,e_1759,e_2159 are consequences of e_2336 Step 3502: 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 14 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q5 found in e_2336 : q5=0 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 : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 19 terms e_2089 is a consequence of e_1995 e_1065 is a consequence of e_1993 e_2073 is a consequence of e_1995. e_2109 is a consequence of e_1993. e_2152 is a consequence of e_1995. e_2152 is a consequence of e_1659. e_2149 is a consequence of e_1993. e_2149 is a consequence of e_1659. e_2081 is a consequence of e_1659. e_2069 is a consequence of e_2063. e_1168 is a consequence of e_1659. e_2142 is a consequence of e_2063. e_2142 is a consequence of e_1659. e_2099 is a consequence of e_1659. Substitution of q57 by an expression in q55, q31 found in e_1943 : q57= - q31 + 2*q55 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 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q31 from e_1181 and e_1993. e_1993: 0=p8*(q31 - 2*q55) is replaced by e_2111: 0=p8*q55 e_2111 is a consequence of e_2013.e_2026 is a consequence of e_2111 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 : --- Length reducing decoupling steps : Eliminate q31 from e_997 and e_1995. e_1995: 0=p2*(q31 - 2*q55) is replaced by e_2236: 0=p2*q55 e_2236 is a consequence of e_2011.e_2022 is a consequence of e_2236 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 2 terms 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 2 terms 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 2 terms 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 2 terms e_2199 is a consequence of e_2185. 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 : shortening by 2 terms e_2228 is a consequence of e_2185. 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 : *** Garbage collection starting *** GC 958 4-Oct-2003 13:33:45, 40 ms (0%), 1207374 occupied, 23792568 free 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 : --- Length reducing decoupling steps : Eliminate q31 from e_1431 and e_1944. e_1944: 0=(q31 - 5*q55)*(p12 - 2*p4) is replaced by e_2244: 0=q55*(p12 - 2*p4) e_2185 is a consequence of e_2244 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q55 from e_2244 and e_2063. e_2063: 0=(q31 - 2*q55)*(p12 - 2*p4) is replaced by e_2253: 0=q31*(p12 - 2*p4) e_2253 is a consequence of e_1431. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 959 4-Oct-2003 13:33:48, 40 ms (0%), 1215429 occupied, 23784512 free *** Garbage collection starting *** GC 960 4-Oct-2003 13:33:51, 50 ms (0%), 1254149 occupied, 23745792 free Eliminate q55 from e_2132 and e_2210. e_2210: (#) 10 terms, 17 factors, with derivatives of functions of all variables: 2 2 (q55,q31,p14 ,p14,p3,p7,p12 ,p12) is replaced by e_2206: (#) 4 terms, 7 factors, with derivatives of functions of all variables: 2 2 (q31,p14 ,p14,p3,p7,p12 ,p12) 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1659 and e_2141. e_2141: 6 terms, 18 factors, with derivatives of functions of all variables: (q55,q31,p14,p1,p7,p12) is replaced by e_2179: 0=q31*(p12 - 4*p14) 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 961 4-Oct-2003 13:33:54, 50 ms (0%), 1216959 occupied, 23782983 free Eliminate q55 from e_1659 and e_2147. e_2147: 6 terms, 18 factors, with derivatives of functions of all variables: (q55,q31,p14,p3,p7,p12) is replaced by e_2264: 0=q31*(p12 - p14) e_2206 is a consequence of e_2264 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 : --- Length reducing decoupling steps : Eliminate q31 from e_2264 and e_2132. e_2132: 0=(q31 - 2*q55)*(p12 - p14) is replaced by e_2232: 0=q55*(p12 - p14) 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 1 term 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 1 term 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 1 term 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 : --- Length reducing decoupling steps : Eliminate q55 from e_2266 and e_2076. e_2266: 0=(q31 + 16*q55)*p4*p14 is replaced by e_2272: 0=p14*p4*q31 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 : --- Length reducing decoupling steps : Eliminate q31 from e_2272 and e_2076. e_2076: 0=(3*q31 - 2*q55)*p4*p14 is replaced by e_2274: 0=p14*p4*q55 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 962 4-Oct-2003 13:33:57, 50 ms (0%), 1263750 occupied, 23736191 free *** Garbage collection starting *** GC 963 4-Oct-2003 13:34:00, 40 ms (0%), 1237229 occupied, 23762711 free Eliminate q55 from e_2148 and e_2181. e_2181: 5 terms, 15 factors, with derivatives of functions of all variables: (q55,q31,p14,p3,p1,p7,p12) is replaced by e_2276: 0=q31*(p12 + p14) 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 : --- Length reducing decoupling steps : Eliminate q31 from e_2276 and e_1590. e_1590: 0=(q31 - 2*q55)*(p12 + p14) is replaced by e_2286: 0=q55*(p12 + p14) 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 964 4-Oct-2003 13:34:03, 50 ms (0%), 1205886 occupied, 23794055 free Eliminate q55 from e_2278 and e_2283. e_2283: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q55,q31,p14,p3,p7) is replaced by e_2291: 0=q31*(61*p3 + 528*p7)*p14 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 965 4-Oct-2003 13:34:06, 50 ms (0%), 1252342 occupied, 23747598 free *** Garbage collection starting *** GC 966 4-Oct-2003 13:34:09, 40 ms (0%), 1238065 occupied, 23761876 free Eliminate q55 from e_1659 and e_2091. e_2091: 10 terms, 30 factors, with derivatives of functions of all variables: (q55,q31,p14,p3,p1,p7,p12) is replaced by e_2293: 0=q31*(p12 + 2*p14) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 967 4-Oct-2003 13:34:12, 40 ms (0%), 1229116 occupied, 23770817 free Eliminate q55 from e_2227 and e_2136. e_2136: (#) 12 terms, 20 factors, with derivatives of functions of all variables: 2 (q55,q31,p14,p4,p3,p7,p12 ,p12) is replaced by e_2295: 0=q31*(p12 - 2*p4) e_2295 is a consequence of e_1431. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 968 4-Oct-2003 13:34:16, 50 ms (0%), 1233879 occupied, 23766061 free *** Garbage collection starting *** GC 969 4-Oct-2003 13:34:19, 50 ms (0%), 1207507 occupied, 23792433 free *** Garbage collection starting *** GC 970 4-Oct-2003 13:34:22, 50 ms (0%), 1252895 occupied, 23747042 free *** Garbage collection starting *** GC 971 4-Oct-2003 13:34:26, 50 ms (0%), 1229978 occupied, 23769961 free *** Garbage collection starting *** GC 972 4-Oct-2003 13:34:29, 50 ms (0%), 1220237 occupied, 23779703 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2272 we get the alternative equations : 0=q31 0=p14 0=p4 New level : 1.1.1.1.1.1.2.2.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2201 : 0=q31 e_2291,e_1431,e_2179,e_2264,e_2276,e_2293,e_997,e_1181 are consequences of e_2201 Step 3542: Hot list of urgent steps : The list of inequalities got extended by: An expression with 8 terms q55 The lexicographical ordering of unknowns is changed because q55 has to be non-zero, giving q55 a low priority. Old ordering: q55,q31,p14,p8,p4,p3,p2,p1,p7,p12 New ordering: q31,q55,p14,p8,p4,p3,p2,p1,p7,p12 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: q31,q55,p14,p8,p4,p3,p2,p1,p7,p12 New ordering: q31,q55,p8,p4,p3,p2,p14,p1,p7,p12 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: q31,q55,p8,p4,p3,p2,p14,p1,p7,p12 New ordering: q31,q55,p8,p3,p2,p4,p14,p1,p7,p12 The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 10 terms e_2177,e_2170,e_2162,e_1932,e_2246 are consequences of e_2278 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: q31,q55,p8,p3,p2,p4,p14,p1,p7,p12 New ordering: q31,q55,p8,p2,p3,p4,p14,p1,p7,p12 Substitution of q31 found in e_2201 : q31=0 leads to a contradiction in : 11 factors in 4 terms Time: 0 ms Time: 0 ms Time: 40 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: q55,q31,p14,p8,p4,p3,p2,p1,p7,p12 New ordering: q55,q31,p8,p4,p3,p2,p14,p1,p7,p12 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: q55,q31,p8,p4,p3,p2,p14,p1,p7,p12 New ordering: q55,q31,p8,p3,p2,p4,p14,p1,p7,p12 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: q55,q31,p8,p3,p2,p4,p14,p1,p7,p12 New ordering: q55,q31,p8,p2,p3,p4,p14,p1,p7,p12 The list of inequalities got extended by: q31 The list of inequalities got extended by: q55 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: 70 ms The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q19,q10,q5,p14,p10,p8,p4,p3,p2 ,p1,p7,p12 New ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q19,q10,q5,p14,p8,p4,p3,p2,p1, p10,p7,p12 New level : 1.1.1.1.1.1.2.2.1.1.1.1.2. CRACK is now called with the new equation e_2035 : 0=q5 e_1759 is a consequence of e_2035 Step 3543: 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 21 terms The list of inequalities got extended by: An expression with 31 terms e_2140 is a consequence of e_1999. Substitution of q5 found in e_2035 : q5=0 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 35 terms e_2181 is a consequence of e_1993. e_2181 is a consequence of e_1924. e_2182 is a consequence of e_1995. e_2182 is a consequence of e_1925. e_2183 is a consequence of e_2063. e_2183 is a consequence of e_1841. Substitution of q31 by an expression in q57, p14, p1, p10, p7, p12 found in e_1803 : 11 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 21 terms e_1932 is a consequence of e_1612. e_2135 is a consequence of e_1903. Substitution of q37 by an expression in q10, p8, p1, p7 found in e_2073 : 10 factors in 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 : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 22 terms e_1590 is a consequence of e_1612. e_2097 is a consequence of e_1612. e_2097 is a consequence of e_1903. e_1929 is a consequence of e_1612. e_1929 is a consequence of e_2109. e_2099 is a consequence of e_2109. *** Garbage collection starting *** GC 973 4-Oct-2003 13:34:36, 60 ms (0%), 1278320 occupied, 23721632 free Substitution of q39 by an expression in q10, p14, p1, p10, p7 found in e_1884 : 10 factors in 3 terms 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 e_2076,e_2015,e_2083,e_2084,e_2085,e_2086,e_2081,e_2082,e_1903,e_1612 are consequences of e_1065 Step 3548: Hot list 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 18 terms The list of inequalities got extended by: An expression with 17 terms e_1994 is a consequence of e_2132.e_1998,e_1970,e_2132 are consequences of e_2087 e_2098 is a consequence of e_2137. e_2089 is a consequence of e_1996. e_2149 is a consequence of e_1996.e_2133 is a consequence of e_2100 e_2029,e_2069,e_1347,e_2003,e_2088 are consequences of e_2136 e_2157 is a consequence of e_2087.e_1992,e_1756,e_1996,e_1999 are consequences of e_2102 e_2168 is a consequence of e_2102. e_2141 is a consequence of e_2087. e_2166 is a consequence of e_2102. Substitution of q10 found in e_1065 : q10=0 Step 3549: Hot list 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_2134 is a consequence of e_2100 e_2087 is a consequence of e_2144 e_1659 is a consequence of e_2144. e_1168 is a consequence of e_2144. e_1797 is a consequence of e_2100. e_2142 is a consequence of e_2144. e_1778 is a consequence of e_2144. e_2158 is a consequence of e_2144.e_1106 is a consequence of e_2102 e_2147 is a consequence of e_2102. e_2154 is a consequence of e_2102. e_2145 is a consequence of e_2102. e_2163 is a consequence of e_2144. e_2111 is a consequence of e_2102. e_2112 is a consequence of e_2102. Substitution of q19 found in e_2136 : q19=0 Step 3550: Hot list 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 26 terms e_2137 is a consequence of e_2144. e_2102 is a consequence of e_2144. e_2150 is a consequence of e_2144. e_2164 is a consequence of e_2144. e_2139 is a consequence of e_2144. e_2101 is a consequence of e_2144. e_2148 is a consequence of e_2144. e_2155 is a consequence of e_2144. e_2077 is a consequence of e_2144. e_2151 is a consequence of e_2144. e_2146 is a consequence of e_2144. e_2143 is a consequence of e_2144. e_2160 is a consequence of e_2144. e_2152 is a consequence of e_2144. e_2103 is a consequence of e_2144. e_2153 is a consequence of e_2144. e_2114 is a consequence of e_2144. e_2156 is a consequence of e_2144. e_2167 is a consequence of e_2144. e_2161 is a consequence of e_2144. e_2159 is a consequence of e_2144. e_2165 is a consequence of e_2144. e_2162 is a consequence of e_2144. e_2169 is a consequence of e_2144. e_2170 is a consequence of e_2144. e_2115 is a consequence of e_2144. e_1810 is a consequence of e_2144. e_2171 is a consequence of e_2144. Substitution of q48 found in e_2100 : q48=0 Step 3551: Hot list 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 14 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q36 found in e_2144 : q36=0 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 974 4-Oct-2003 13:34:39, 50 ms (0%), 1275508 occupied, 23724444 free *** Garbage collection starting *** GC 975 4-Oct-2003 13:34:41, 60 ms (0%), 1360339 occupied, 23639613 free *** Garbage collection starting *** GC 976 4-Oct-2003 13:34:44, 60 ms (0%), 1304438 occupied, 23695513 free *** Garbage collection starting *** GC 977 4-Oct-2003 13:34:47, 60 ms (0%), 1388602 occupied, 23611350 free *** Garbage collection starting *** GC 978 4-Oct-2003 13:34:50, 50 ms (0%), 1317399 occupied, 23682553 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1993 we get the alternative equations : 0=q57 0=p1 0=p8 New level : 1.1.1.1.1.1.2.2.1.1.1.1.2.1. CRACK is now called with the new equation e_2223 : 0=q57 e_2203,e_2188,e_1820,e_2185,e_2187,e_1099,e_1665,e_1663,e_1493,e_1880,e_1841, e_1654,e_1948,e_2061,e_1835,e_1924,e_1925,e_2063,e_1995,e_2024,e_1485 are consequences of e_2223 Step 3553: 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 5 terms e_2135 is a consequence of e_1932. e_2092 is a consequence of e_1968.e_2073,e_2011,e_2013 are consequences of e_2094 e_2104 is a consequence of e_2090. e_2109 is a consequence of e_2097. e_1903 is a consequence of e_2090.e_2082,e_1968,e_1590,e_1964,e_1966 are consequences of e_2085 e_2132 is a consequence of e_2094. e_2003 is a consequence of e_2085. e_1797 is a consequence of e_2085. e_1106 is a consequence of e_2085. e_2164 is a consequence of e_2085. Substitution of q57 found in e_2223 : q57=0 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 e_2178 is a consequence of e_2094. 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 e_2179 is a consequence of e_2094. 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 e_2180 is a consequence of e_2094. 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 : --- Algebraic length reduction of equations : shortening by 2 terms e_2181 is a consequence of e_2094. 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 e_2182 is a consequence of e_2076. 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 e_2183 is a consequence of e_2076. 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 2 terms 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 3 terms e_1778,e_2085 are consequences of e_2218 Step 3562: Hot list 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 3 terms The list of inequalities got extended by: An expression with 3 terms q55 The lexicographical ordering of unknowns is changed because q55 has to be non-zero, giving q55 a low priority. Old ordering: q55,q44,q42,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q44,q42,q55,p14,p8,p4,p3,p2,p1,p10,p7,p12 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: q44,q42,q55,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q44,q42,q55,p8,p4,p3,p2,p1,p14,p10,p7,p12 The list of inequalities got extended by: p1 e_2095 is a consequence of e_2076. Substitution of q42 found in e_2218 : q42=0 leads to a contradiction in : 12 factors in 3 terms Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: q57 The lexicographical ordering of unknowns is changed because q57 has to be non-zero, giving q57 a low priority. Old ordering: q57,q55,q44,q42,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q55,q44,q42,q57,p14,p8,p4,p3,p2,p1,p10,p7,p12 New level : 1.1.1.1.1.1.2.2.1.1.1.1.2.2. CRACK is now called with the new equation e_2223 : 0=p1 e_2201,e_2203,e_2211,e_1963,e_2188,e_1954,e_2189,e_2185,e_1955,e_2184,e_1893, e_1947,e_1944,e_2063,e_1995,e_2011,e_2013 are consequences of e_2223 Step 3563: Hot list of urgent steps : The list of inequalities got extended by: g0033*p7 + g0036*p3 The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 9 terms e_2135 is a consequence of e_1932. e_2073 is a consequence of e_1932. The list of inequalities got extended by: p14 q42 The lexicographical ordering of unknowns is changed because p14 has to be non-zero, giving p14 a low priority. Old ordering: q55,q44,q42,q57,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q55,q44,q42,q57,p8,p4,p3,p2,p1,p14,p10,p7,p12 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: q55,q44,q42,q57,p8,p4,p3,p2,p1,p14,p10,p7,p12 New ordering: q55,q44,q42,q57,p8,p3,p2,p1,p4,p14,p10,p7,p12 The list of inequalities got extended by: q55 The lexicographical ordering of unknowns is changed because q55 has to be non-zero, giving q55 a low priority. Old ordering: q55,q44,q42,q57,p8,p3,p2,p1,p4,p14,p10,p7,p12 New ordering: q44,q55,q42,q57,p8,p3,p2,p1,p4,p14,p10,p7,p12 e_1884 is a consequence of e_2083 Substitution of p1 found in e_2223 : p1=0 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 : The list of inequalities got extended by: An expression with 11 terms Substitution of p8 found in e_1964 : p8=0 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 : Substitution of p2 found in e_1966 : p2=0 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: p12 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 9 terms *** Garbage collection starting *** GC 979 4-Oct-2003 13:34:54, 40 ms (0%), 1209884 occupied, 23790068 free Substitution of p12 by an expression in p4 found in e_1968 : p12=2*p4 Step 3567: Hot list 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: p14 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 7 terms e_2168,e_1992,e_2153,e_2090,e_2104,e_1756,e_2157,e_1253,e_2097 are consequences of e_1932 e_2098 is a consequence of e_2092 Substitution of p14 by an expression in p4 found in e_2091 : p14=2*p4 leads to a contradiction in : 11 factors in 4 terms Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: q57 The lexicographical ordering of unknowns is changed because q57 has to be non-zero, giving q57 a low priority. Old ordering: q57,q55,q44,q42,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q55,q44,q42,q57,p14,p8,p4,p3,p2,p1,p10,p7,p12 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: q55,q44,q42,q57,p14,p8,p4,p3,p2,p1,p10,p7,p12 New ordering: q55,q44,q42,q57,p14,p8,p3,p2,p1,p4,p10,p7,p12 The list of inequalities got extended by: p1 New level : 1.1.1.1.1.1.2.2.1.1.1.1.2.3. CRACK is now called with the new equation e_2223 : 0=p8 e_1493,e_2061,e_1924,e_1964,e_2013,e_2026,e_1485 are consequences of e_2223 Step 3568: Hot list of urgent steps : The list of inequalities got extended by: An expression with 13 terms Substitution of p8 found in e_2223 : p8=0 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 : Substitution of p2 found in e_1995 : p2=0 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: p12 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 20 terms e_1253 is a consequence of e_1893. Substitution of p12 by an expression in p4 found in e_2063 : p12=2*p4 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 19 terms Substitution of p14 by an expression in p4, p10 found in e_1835 : p14= - p10 - 2*p4 Step 3572: Hot list 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: p10 The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: q44 The lexicographical ordering of unknowns is changed because q44 has to be non-zero, giving q44 a low priority. Old ordering: q55,q44,q42,q57,p3,p1,p4,p10,p7 New ordering: q55,q42,q44,q57,p3,p1,p4,p10,p7 The list of inequalities got extended by: p3 Substitution of p10 by an expression in p4 found in e_1099 : p10=4*p4 leads to a contradiction in : 7 factors in 3 terms 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 *** Garbage collection starting *** GC 980 4-Oct-2003 13:35:01, 50 ms (0%), 1316811 occupied, 23683141 free Time: 60 ms plus GC time: 50 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: q57,q55,q48,q44,q42,q39,q37,q36,q31,q19,q10,q5,q2,p14,p10,p8,p4,p3 ,p2,p1,p7,p12 New ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q19,q10,q5,q2,p10,p8,p4,p3,p2, p1,p14,p7,p12 The list of inequalities got extended by: q2 New level : 1.1.1.1.1.1.2.2.1.1.1.2. CRACK is now called with the new equation e_2135 : 0=p2 e_1106,e_1663,e_1948,e_1925,e_1970,e_1896,e_1966,e_1995,e_2011,e_2022,e_2024, e_997,e_1347,e_1876,e_1903,e_1759 are consequences of e_2135 Step 3573: Hot list of urgent steps : e_1813 is a consequence of e_1817. Substitution of p2 found in e_2135 : p2=0 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 : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: p12 The list of inequalities got extended by: g0099*p14 + g0101*p14 + g0103*p10 The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 21 terms e_1493,e_2061,e_1993,e_1485 are consequences of e_1753 e_2063 is a consequence of e_1930 e_1933 is a consequence of e_1930. e_1987 is a consequence of e_350. e_2059 is a consequence of e_1959. Substitution of p12 by an expression in p14 found in e_1659 : p12=p14 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 : The list of inequalities got extended by: An expression with 20 terms Substitution of q44 by an expression in q57, p10, p14 found in e_1884 : - p10*q57 q44=------------ p14 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 33 terms e_1930 is a consequence of e_1968. e_1907 is a consequence of e_1968. *** Garbage collection starting *** GC 981 4-Oct-2003 13:35:04, 60 ms (0%), 1289227 occupied, 23710719 free Substitution of q57 by an expression in q42, p3, p1, p7 found in e_1934 : 11 factors in 4 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 : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 35 terms Substitution of q37 by an expression in q36, q5, q2, p8, p7 found in e_1756 : 12 factors in 4 terms leads to a contradiction in : 14 factors in 5 terms 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: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q30,q28,q19,q17,q15,q13,q10,q5 ,q2,p14,p10,p8,p4,p3,p2,p1,p7,p12 New ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q30,q28,q19,q17,q15,q13,q10,q5 ,q2,p14,p10,p8,p3,p2,p1,p4,p7,p12 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: q57,q55,q48,q44,q42,q39,q37,q36,q31,q30,q28,q19,q17,q15,q13,q10,q5 ,q2,p14,p10,p8,p3,p2,p1,p4,p7,p12 New ordering: q57,q55,q48,q44,q42,q39,q37,q36,q31,q28,q19,q17,q15,q13,q10,q5,q2, q30,p14,p10,p8,p3,p2,p1,p4,p7,p12 New level : 1.1.1.1.1.1.2.2.1.1.2. CRACK is now called with the new equation e_1700 : 0=p8 e_1493,e_1778,e_1924,e_1964,e_1181,e_1403,e_1545,e_521,e_1655 are consequences of e_1700 Step 3578: Hot list of urgent steps : The list of inequalities got extended by: An expression with 23 terms e_1943 is a consequence of e_1168.e_1777,e_1944,e_1876 are consequences of e_1948 e_1949 is a consequence of e_1803. e_1950 is a consequence of e_1948. e_1934 is a consequence of e_1168. Substitution of p8 found in e_1700 : p8=0 Step 3579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : e_989 is a consequence of e_1817. Substitution of p2 found in e_350 : p2=0 Step 3580: Hot list 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 21 terms e_1965 is a consequence of e_1659. e_1969 is a consequence of e_1935. e_1967 is a consequence of e_1935. e_1959 is a consequence of e_1994. e_1996 is a consequence of e_1993. e_1956 is a consequence of e_1994. e_1951 is a consequence of e_1994. Substitution of q37 found in e_1948 : q37=0 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 : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: p12 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 21 terms e_2106 is a consequence of e_2077. e_2107 is a consequence of e_2077. e_2108 is a consequence of e_2077. e_2044 is a consequence of e_2045. e_2116 is a consequence of e_2077. e_2119 is a consequence of e_2077. e_2049 is a consequence of e_2045. Substitution of p12 by an expression in p4 found in e_1168 : p12=2*p4 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 : *** Garbage collection starting *** GC 982 4-Oct-2003 13:35:10, 50 ms (0%), 1281580 occupied, 23718370 free --- 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 2 terms 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 5 terms 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 5 terms 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 : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 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 : shortening by 2 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 1 term 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 1 term 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 2 terms e_1168 is a consequence of e_2049. 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 2 terms 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 1 term 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 2 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1993 and e_1902. e_1902: 0=(3*q2 + q5)*p10 is replaced by e_1756: 0=p10*q5 e_1756 is a consequence of e_1946. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 983 4-Oct-2003 13:35:13, 60 ms (0%), 1345154 occupied, 23654793 free *** Garbage collection starting *** GC 984 4-Oct-2003 13:35:17, 50 ms (0%), 1338215 occupied, 23661734 free *** Garbage collection starting *** GC 985 4-Oct-2003 13:35:21, 60 ms (0%), 1334596 occupied, 23665352 free Eliminate q36 from e_2005 and e_1975. e_1975: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q36,q10,q5,p14,p10,p4 ,p4) is replaced by e_1065: 0=(q10 - q5)*(p14 - 2*p4) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 986 4-Oct-2003 13:35:25, 60 ms (0%), 1313002 occupied, 23686946 free *** Garbage collection starting *** GC 987 4-Oct-2003 13:35:28, 60 ms (0%), 1320405 occupied, 23679544 free Eliminate q36 from e_2005 and e_2024. e_2024: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q39,q36,q5,q2,p14,p10,p4 ,p4) is replaced by e_1921: 4 terms, 8 factors, with derivatives of functions of all variables: (q39,q5,q2,p14,p4) ***** PREMATURE STOP DUE TO TIME CONSTRAINT! Time: 21550 ms plus GC time: 340 ms 4: Time: 0 ms 5: 5: n Time: 0 ms 6: Quitting