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: "bu713-4-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 N1f0b2t10s14w45. ####### The system: 2 b(1) =b(2) *b(1)*p18 + Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 t x 2x 2x 2 + b(2) *p16 + b(1) *p21 + b(1) *b(1)*p13 + b(1) *b(1) *p15 x 5x 3x 2x x 2 + b(1) *b(1) *p17 x 3 b(2) =b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 t 2x x x + Db(1) *Db(2)*p10 + b(2) *p12 + b(2) *b(1)*p2 + b(2) *b(1) *p4 2x 5x 3x 2x x 2 + b(2) *b(1) *p6 + b(2) *b(1) *p5 + b(1) *b(2)*p3 + b(1) *b(2)*b(1)*p7 x x 2x 3x x It's symmetry: 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,p20,p19,p11,p10,p9,p1} {p11,p10,p9,p7,p6,p5,p4,p3,p2,p1} {p20,p18,p16,p14} {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} Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x df(b(1),s)=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)=p21*b(1) 5x df(b(2),t)=p12*b(2) 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 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=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 19:19:07, 30 ms (1%), 923525 occupied, 24076427 free df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x df(b(1),s)=Db(2)*Db(1)*b(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 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=Db(2) *Db(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 19:19:37, 40 ms (0%), 1125379 occupied, 23874573 free *** Garbage collection starting *** GC 3 4-Oct-2003 19:20:39, 40 ms (0%), 1157597 occupied, 23842355 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=q59*b(1) 7x df(b(2),s)=q33*b(2) 7x *** Garbage collection starting *** GC 4 4-Oct-2003 19:22:13, 30 ms (0%), 991581 occupied, 24008371 free *** Garbage collection starting *** GC 5 4-Oct-2003 19:23:04, 30 ms (0%), 1002887 occupied, 23997065 free *** Garbage collection starting *** GC 6 4-Oct-2003 19:23:54, 30 ms (0%), 1001387 occupied, 23998565 free Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(b(1),t)=p21*b(1) 5x df(b(2),t)=p12*b(2) 5x 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 *** Garbage collection starting *** GC 7 4-Oct-2003 19:25:11, 30 ms (0%), 966469 occupied, 24033483 free Pairing now degree 2 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x df(b(1),s)=Db(2)*Db(1)*b(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 8 4-Oct-2003 19:25:44, 40 ms (0%), 1100903 occupied, 23899049 free *** Garbage collection starting *** GC 9 4-Oct-2003 19:27:00, 30 ms (0%), 1027629 occupied, 23972323 free *** Garbage collection starting *** GC 10 4-Oct-2003 19:27:39, 40 ms (0%), 1205775 occupied, 23794177 free *** Garbage collection starting *** GC 11 4-Oct-2003 19:30:26, 60 ms (0%), 1393965 occupied, 23605987 free Pairing now degree 3 terms from the system with degree 2 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=Db(2) *Db(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 12 4-Oct-2003 19:32:54, 30 ms (0%), 1045271 occupied, 23954681 free *** Garbage collection starting *** GC 13 4-Oct-2003 19:34:15, 30 ms (0%), 1054345 occupied, 23945607 free *** Garbage collection starting *** GC 14 4-Oct-2003 19:35:55, 50 ms (0%), 1136843 occupied, 23863109 free *** Garbage collection starting *** GC 15 4-Oct-2003 19:38:46, 60 ms (0%), 1305523 occupied, 23694429 free *** Garbage collection starting *** GC 16 4-Oct-2003 19:41:10, 40 ms (0%), 1198709 occupied, 23801243 free Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry 2 df(b(1),t)=Db(2) *Db(2)*p20 + Db(1) *Db(1)*p19 + b(2) *b(2)*p14 + b(2) *p16 x 2x 2x x + b(1) *b(1)*p13 + b(1) *b(1) *p15 3x 2x x df(b(2),t)=Db(2) *Db(1)*p9 + Db(2) *Db(1) *p11 + Db(1) *Db(2)*p10 2x x x 2x + b(2) *b(1)*p2 + b(2) *b(1) *p4 + b(2) *b(1) *p5 3x 2x x x 2x + b(1) *b(2)*p3 3x 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 *** Garbage collection starting *** GC 17 4-Oct-2003 19:44:06, 40 ms (0%), 1081337 occupied, 23918615 free Pairing now degree 3 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x df(b(1),s)=Db(2)*Db(1)*b(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 18 4-Oct-2003 19:44:30, 30 ms (0%), 1069771 occupied, 23930181 free *** Garbage collection starting *** GC 19 4-Oct-2003 19:48:48, 60 ms (0%), 1419869 occupied, 23580067 free Generating all terms of total degree 7 Pairing now degree 3 terms from the system with degree 4 terms from the symmetry 2 df(b(1),t)=b(1)*(b(2) *p18 + b(1) *b(1)*p17) x 3 2 df(b(2),t)=b(2) *p8 + Db(2)*Db(1)*b(1)*p1 + b(2) *b(1) *p6 + b(1) *b(2)*b(1)*p7 x x 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 *** Garbage collection starting *** GC 20 4-Oct-2003 19:52:15, 50 ms (0%), 1358875 occupied, 23641077 free Now crack is called. *** Garbage collection starting *** GC 21 4-Oct-2003 19:56:25, 50 ms (0%), 1323711 occupied, 23676241 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 31 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 22 4-Oct-2003 19:59:19, 40 ms (0%), 1197286 occupied, 23802663 free *** Garbage collection starting *** GC 23 4-Oct-2003 19:59:23, 50 ms (0%), 1320856 occupied, 23679093 free *** Garbage collection starting *** GC 24 4-Oct-2003 19:59:39, 50 ms (0%), 1291734 occupied, 23708215 free *** Garbage collection starting *** GC 25 4-Oct-2003 19:59:57, 50 ms (0%), 1434230 occupied, 23565719 free *** Garbage collection starting *** GC 26 4-Oct-2003 20:00:19, 60 ms (0%), 1559872 occupied, 23440077 free *** Garbage collection starting *** GC 27 4-Oct-2003 20:01:25, 50 ms (0%), 1335664 occupied, 23664285 free *** Garbage collection starting *** GC 28 4-Oct-2003 20:02:47, 50 ms (0%), 1304620 occupied, 23695329 free *** Garbage collection starting *** GC 29 4-Oct-2003 20:03:56, 50 ms (0%), 1364566 occupied, 23635382 free *** Garbage collection starting *** GC 30 4-Oct-2003 20:05:06, 60 ms (0%), 1444790 occupied, 23555158 free *** Garbage collection starting *** GC 31 4-Oct-2003 20:06:17, 60 ms (0%), 1517080 occupied, 23482868 free *** Garbage collection starting *** GC 32 4-Oct-2003 20:07:29, 70 ms (0%), 1586284 occupied, 23413664 free *** Garbage collection starting *** GC 33 4-Oct-2003 20:08:41, 60 ms (0%), 1653100 occupied, 23346848 free *** Garbage collection starting *** GC 34 4-Oct-2003 20:09:55, 70 ms (0%), 1710192 occupied, 23289756 free *** Garbage collection starting *** GC 35 4-Oct-2003 20:11:09, 80 ms (0%), 1770644 occupied, 23229304 free *** Garbage collection starting *** GC 36 4-Oct-2003 20:12:26, 70 ms (0%), 1816678 occupied, 23183270 free *** Garbage collection starting *** GC 37 4-Oct-2003 20:14:01, 40 ms (0%), 1318826 occupied, 23681123 free *** Garbage collection starting *** GC 38 4-Oct-2003 20:16:09, 50 ms (0%), 1396212 occupied, 23603737 free *** Garbage collection starting *** GC 39 4-Oct-2003 20:17:56, 50 ms (0%), 1353120 occupied, 23646829 free *** Garbage collection starting *** GC 40 4-Oct-2003 20:20:02, 50 ms (0%), 1415496 occupied, 23584453 free *** Garbage collection starting *** GC 41 4-Oct-2003 20:22:08, 60 ms (0%), 1483512 occupied, 23516437 free *** Garbage collection starting *** GC 42 4-Oct-2003 20:24:13, 70 ms (0%), 1551744 occupied, 23448205 free *** Garbage collection starting *** GC 43 4-Oct-2003 20:26:18, 70 ms (0%), 1632582 occupied, 23367367 free *** Garbage collection starting *** GC 44 4-Oct-2003 20:28:23, 70 ms (0%), 1699230 occupied, 23300719 free *** Garbage collection starting *** GC 45 4-Oct-2003 20:30:29, 70 ms (0%), 1763086 occupied, 23236863 free *** Garbage collection starting *** GC 46 4-Oct-2003 20:32:33, 80 ms (0%), 1838468 occupied, 23161481 free *** Garbage collection starting *** GC 47 4-Oct-2003 20:34:38, 90 ms (0%), 1902792 occupied, 23097157 free *** Garbage collection starting *** GC 48 4-Oct-2003 20:36:41, 90 ms (0%), 1976582 occupied, 23023367 free *** Garbage collection starting *** GC 49 4-Oct-2003 20:38:46, 100 ms (0%), 2037278 occupied, 22962671 free *** Garbage collection starting *** GC 50 4-Oct-2003 20:40:50, 90 ms (0%), 2108326 occupied, 22891623 free *** Garbage collection starting *** GC 51 4-Oct-2003 20:42:54, 100 ms (0%), 2170280 occupied, 22829669 free *** Garbage collection starting *** GC 52 4-Oct-2003 20:44:57, 100 ms (0%), 2239186 occupied, 22760763 free *** Garbage collection starting *** GC 53 4-Oct-2003 20:47:01, 110 ms (0%), 2294542 occupied, 22705407 free *** Garbage collection starting *** GC 54 4-Oct-2003 20:49:05, 110 ms (0%), 2358724 occupied, 22641225 free *** Garbage collection starting *** GC 55 4-Oct-2003 20:51:07, 120 ms (0%), 2429398 occupied, 22570551 free *** Garbage collection starting *** GC 56 4-Oct-2003 20:53:10, 130 ms (0%), 2489452 occupied, 22510497 free *** Garbage collection starting *** GC 57 4-Oct-2003 20:55:14, 120 ms (0%), 2552798 occupied, 22447151 free *** Garbage collection starting *** GC 58 4-Oct-2003 20:57:18, 130 ms (0%), 2616480 occupied, 22383469 free *** Garbage collection starting *** GC 59 4-Oct-2003 20:59:22, 130 ms (0%), 2671692 occupied, 22328257 free *** Garbage collection starting *** GC 60 4-Oct-2003 21:01:27, 130 ms (0%), 2725088 occupied, 22274861 free *** Garbage collection starting *** GC 61 4-Oct-2003 21:03:32, 140 ms (0%), 2781630 occupied, 22218319 free *** Garbage collection starting *** GC 62 4-Oct-2003 21:05:38, 140 ms (0%), 2825392 occupied, 22174557 free *** Garbage collection starting *** GC 63 4-Oct-2003 21:07:32, 150 ms (0%), 3072128 occupied, 21927821 free *** Garbage collection starting *** GC 64 4-Oct-2003 21:09:51, 50 ms (0%), 1295686 occupied, 23704263 free *** Garbage collection starting *** GC 65 4-Oct-2003 21:10:33, 50 ms (0%), 1358322 occupied, 23641627 free *** Garbage collection starting *** GC 66 4-Oct-2003 21:11:10, 50 ms (0%), 1333244 occupied, 23666705 free *** Garbage collection starting *** GC 67 4-Oct-2003 21:11:41, 50 ms (0%), 1379232 occupied, 23620717 free *** Garbage collection starting *** GC 68 4-Oct-2003 21:12:12, 50 ms (0%), 1428402 occupied, 23571547 free *** Garbage collection starting *** GC 69 4-Oct-2003 21:12:45, 50 ms (0%), 1474762 occupied, 23525187 free *** Garbage collection starting *** GC 70 4-Oct-2003 21:13:20, 60 ms (0%), 1518442 occupied, 23481507 free *** Garbage collection starting *** GC 71 4-Oct-2003 21:14:15, 50 ms (0%), 1327718 occupied, 23672231 free *** Garbage collection starting *** GC 72 4-Oct-2003 21:15:29, 50 ms (0%), 1398888 occupied, 23601061 free *** Garbage collection starting *** GC 73 4-Oct-2003 21:16:54, 40 ms (0%), 1420262 occupied, 23579687 free *** Garbage collection starting *** GC 74 4-Oct-2003 21:17:58, 50 ms (0%), 1380972 occupied, 23618977 free *** Garbage collection starting *** GC 75 4-Oct-2003 21:19:01, 50 ms (0%), 1423612 occupied, 23576337 free *** Garbage collection starting *** GC 76 4-Oct-2003 21:20:06, 60 ms (0%), 1464932 occupied, 23535017 free *** Garbage collection starting *** GC 77 4-Oct-2003 21:21:11, 60 ms (0%), 1508406 occupied, 23491543 free *** Garbage collection starting *** GC 78 4-Oct-2003 21:22:15, 70 ms (0%), 1551494 occupied, 23448455 free *** Garbage collection starting *** GC 79 4-Oct-2003 21:23:20, 60 ms (0%), 1592694 occupied, 23407255 free *** Garbage collection starting *** GC 80 4-Oct-2003 21:24:26, 70 ms (0%), 1629706 occupied, 23370243 free *** Garbage collection starting *** GC 81 4-Oct-2003 21:25:31, 70 ms (0%), 1672638 occupied, 23327311 free *** Garbage collection starting *** GC 82 4-Oct-2003 21:26:36, 70 ms (0%), 1712112 occupied, 23287837 free *** Garbage collection starting *** GC 83 4-Oct-2003 21:27:43, 70 ms (0%), 1754798 occupied, 23245151 free *** Garbage collection starting *** GC 84 4-Oct-2003 21:28:52, 80 ms (0%), 1795090 occupied, 23204859 free *** Garbage collection starting *** GC 85 4-Oct-2003 21:29:54, 80 ms (0%), 1965674 occupied, 23034275 free *** Garbage collection starting *** GC 86 4-Oct-2003 21:30:56, 40 ms (0%), 1309904 occupied, 23690045 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 : 2 4 b(1) *b(2) 3 b(1) *b(2)*Db(1)*Db(2) 4 b(1) *b(2)*b(2) x 3 2 b(1) *b(2) *b(1) x Separation of e_1 yields (e_15 e_16 e_14 e_13) Step 2: separation w.r.t. x linear independent expressions : 5 b(2) 2 b(1)*b(2) *Db(1)*Db(2) 2 b(1) *b(1) *Db(1)*Db(2) x 3 b(1) *Db(2)*Db(1) x 2 b(1) *b(2)*Db(1)*Db(1) x 2 2 b(1) *b(2) *b(2) x 3 b(1) *b(1) *b(2) x x 3 b(1) *b(2)*b(1) 2x 2 2 b(1) *b(2)*b(1) x 3 b(1)*b(2) *b(1) x Separation of e_2 yields (e_26 e_25 e_22 e_20 e_24 e_23 e_21 e_19 e_18 e_17) e_25 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) 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) 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 87 4-Oct-2003 21:30:58, 50 ms (0%), 1305266 occupied, 23694683 free Separation of e_9 yields (e_39 e_31 e_38 e_37 e_43 e_41 e_40 e_36 e_30 e_27 e_42 e_29 e_28 e_35 e_33 e_32 e_34) Step 4: separation w.r.t. x linear independent expressions : Db(1) *Db(2) x 8x Db(1) *Db(2) 2x 7x Db(1) *Db(2) 3x 6x Db(1) *Db(2) 4x 5x Db(1) *Db(2) 5x 4x Db(1) *Db(2) 6x 3x Db(1) *Db(2) 7x 2x Db(1) *Db(2) 8x x Db(2)*Db(1) 9x b(1) *b(2) x 9x b(1) *b(2) 2x 8x b(1) *b(2) 3x 7x b(1) *b(2) 4x 6x b(1) *b(2) 5x 5x b(1) *b(2) 6x 4x b(1) *b(2) 7x 3x b(1) *b(2) 8x 2x b(1) *b(2) 9x x b(2)*b(1) 10x Separation of e_10 yields (e_62 e_53 e_61 e_54 e_52 e_44 e_60 e_55 e_51 e_45 e_59 e_57 e_56 e_50 e_46 e_58 e_49 e_48 e_47) Step 5: 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 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(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 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 88 4-Oct-2003 21:31:01, 50 ms (0%), 1317022 occupied, 23682927 free *** Garbage collection starting *** GC 89 4-Oct-2003 21:31:08, 40 ms (0%), 1312606 occupied, 23687343 free *** Garbage collection starting *** GC 90 4-Oct-2003 21:31:11, 40 ms (0%), 1321946 occupied, 23678003 free Separation of e_3 yields (e_91 e_85 e_84 e_68 e_67 e_80 e_99 e_95 e_86 e_79 e_70 e_66 e_64 e_77 e_63 e_93 e_69 e_94 e_92 e_88 e_87 e_78 e_74 e_96 e_65 e_100 e_83 e_82 e_81 e_76 e_97 e_90 e_89 e_73 e_71 e_75 e_72 e_98) Step 6: separation w.r.t. x linear independent expressions : b(1)*b(2)*b(2) *Db(1)*Db(2) 2x 2 b(1)*b(2) *Db(1)*Db(2) x b(2)*b(1) *b(2) *Db(1)*Db(2) x x 2 b(1) *b(1) *Db(1)*Db(2) 3x 2 b(2) *b(1) *Db(1)*Db(2) 2x b(1)*b(1) *b(1) *Db(1)*Db(2) x 2x 3 b(1) *Db(1)*Db(2) x 2 b(1) *b(2)*Db(2)*Db(2) 2x 2 b(1)*b(2) *Db(1)*Db(2) 2x 2 b(1) *b(1) *Db(1)*Db(2) x 2x 3 b(1) *Db(1) *Db(2) x 2x 3 b(2) *Db(2)*Db(2) x 2 b(1) *b(2) *Db(2)*Db(2) x x b(1)*b(2)*b(1) *Db(2)*Db(2) x x b(1)*b(2)*b(2) *Db(1)*Db(2) x x 2 b(1) *b(1) *Db(1)*Db(2) 2x x 2 b(1)*b(1) *Db(1)*Db(2) x x 2 b(2) *b(1) *Db(1)*Db(2) x x 3 b(1) *Db(1) *Db(2) 2x x 2 b(1)*b(2) *Db(1) *Db(2) x x 2 b(1) *b(1) *Db(1) *Db(2) x x x 3 b(1) *Db(2)*Db(1) 3x 2 b(1) *b(2)*Db(1)*Db(1) 3x 2 b(1)*b(2) *Db(2)*Db(1) 2x 2 b(1) *b(1) *Db(2)*Db(1) x 2x 3 b(2) *Db(1)*Db(1) 2x 2 b(1) *b(2) *Db(1)*Db(1) x 2x b(1)*b(2)*b(1) *Db(1)*Db(1) x 2x 2 b(1) *b(2)*Db(1) *Db(1) x 2x b(1)*b(2)*b(2) *Db(2)*Db(1) x x 2 b(1) *b(1) *Db(2)*Db(1) 2x x 2 b(1)*b(1) *Db(2)*Db(1) x x 2 b(2) *b(1) *Db(2)*Db(1) x x 2 b(1) *b(2) *Db(1)*Db(1) 2x x 2 b(2) *b(2) *Db(1)*Db(1) x x b(1)*b(1) *b(2) *Db(1)*Db(1) x x x b(1)*b(2)*b(1) *Db(1)*Db(1) 2x x 2 b(2)*b(1) *Db(1)*Db(1) x x 2 2 b(1) *b(2) *b(2) 3x 3 b(1) *b(1) *b(2) x 3x 4 b(2) *b(2) 2x 2 b(1) *b(2)*b(2) *b(2) x 2x 3 b(1) *b(1) *b(2) 2x 2x 2 2 b(1) *b(1) *b(2) x 2x 2 b(1)*b(2) *b(1) *b(2) x 2x 2 3 b(1) *b(2) x 3 2 b(2) *b(2) x 2 b(1)*b(2)*b(1) *b(2) x x 3 b(1) *b(1) *b(2) 3x x 2 b(1)*b(2) *b(1) *b(2) 2x x 2 b(1) *b(1) *b(1) *b(2) x 2x x 3 b(1)*b(1) *b(2) x x 2 2 b(2) *b(1) *b(2) x x 3 b(1) *b(2)*b(1) 4x 3 b(1)*b(2) *b(1) 3x 2 b(1) *b(2)*b(1) *b(1) x 3x 2 2 b(1) *b(2)*b(1) 2x 2 b(1)*b(2)*b(1) *b(1) x 2x 3 b(2) *b(1) *b(1) x 2x 4 b(2)*b(1) x *** Garbage collection starting *** GC 91 4-Oct-2003 21:31:29, 50 ms (0%), 1409830 occupied, 23590119 free *** Garbage collection starting *** GC 92 4-Oct-2003 21:32:41, 60 ms (0%), 1513952 occupied, 23485996 free *** Garbage collection starting *** GC 93 4-Oct-2003 21:33:09, 50 ms (0%), 1324986 occupied, 23674963 free *** Garbage collection starting *** GC 94 4-Oct-2003 21:33:11, 50 ms (0%), 1340082 occupied, 23659867 free Separation of e_4 yields (e_149 e_120 e_114 e_152 e_126 e_121 e_135 e_101 e_151 e_150 e_142 e_141 e_128 e_122 e_115 e_156 e_143 e_137 e_123 e_153 e_139 e_138 e_132 e_118 e_117 e_107 e_106 e_102 e_124 e_108 e_159 e_154 e_148 e_112 e_104 e_133 e_116 e_109 e_160 e_146 e_140 e_127 e_111 e_103 e_158 e_147 e_144 e_105 e_145 e_129 e_119 e_136 e_131 e_113 e_157 e_134 e_130 e_110 e_155 e_125) Step 7: 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(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(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 95 4-Oct-2003 21:33:14, 60 ms (0%), 1346046 occupied, 23653903 free *** Garbage collection starting *** GC 96 4-Oct-2003 21:33:55, 60 ms (0%), 1441428 occupied, 23558519 free *** Garbage collection starting *** GC 97 4-Oct-2003 21:35:25, 70 ms (0%), 1584352 occupied, 23415594 free *** Garbage collection starting *** GC 98 4-Oct-2003 21:37:34, 70 ms (0%), 1691570 occupied, 23308376 free *** Garbage collection starting *** GC 99 4-Oct-2003 21:40:25, 80 ms (0%), 1787536 occupied, 23212409 free *** Garbage collection starting *** GC 100 4-Oct-2003 21:40:35, 50 ms (0%), 1343716 occupied, 23656233 free *** Garbage collection starting *** GC 101 4-Oct-2003 21:40:37, 50 ms (0%), 1353178 occupied, 23646771 free *** Garbage collection starting *** GC 102 4-Oct-2003 21:40:39, 60 ms (0%), 1363102 occupied, 23636847 free Separation of e_7 yields (e_170 e_209 e_208 e_201 e_169 e_210 e_205 e_235 e_200 e_196 e_192 e_167 e_243 e_242 e_204 e_199 e_195 e_168 e_164 e_162 e_161 e_239 e_215 e_197 e_190 e_166 e_238 e_206 e_202 e_193 e_189 e_172 e_171 e_165 e_163 e_241 e_234 e_233 e_229 e_207 e_244 e_232 e_227 e_221 e_188 e_187 e_183 e_179 e_240 e_225 e_222 e_218 e_217 e_186 e_173 e_237 e_236 e_230 e_226 e_175 e_228 e_223 e_219 e_211 e_191 e_185 e_184 e_182 e_180 e_176 e_231 e_224 e_220 e_216 e_214 e_177 e_213 e_212 e_203 e_194 e_181 e_178 e_174 e_198) Step 8: 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 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 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 103 4-Oct-2003 21:40:50, 60 ms (0%), 1398266 occupied, 23601683 free *** Garbage collection starting *** GC 104 4-Oct-2003 21:41:42, 60 ms (0%), 1454652 occupied, 23545297 free *** Garbage collection starting *** GC 105 4-Oct-2003 21:43:16, 70 ms (0%), 1595426 occupied, 23404522 free *** Garbage collection starting *** GC 106 4-Oct-2003 21:45:23, 80 ms (0%), 1711878 occupied, 23288069 free *** Garbage collection starting *** GC 107 4-Oct-2003 21:48:00, 80 ms (0%), 1840060 occupied, 23159886 free *** Garbage collection starting *** GC 108 4-Oct-2003 21:51:04, 90 ms (0%), 1978490 occupied, 23021456 free *** Garbage collection starting *** GC 109 4-Oct-2003 21:54:46, 100 ms (0%), 2096846 occupied, 22903100 free *** Garbage collection starting *** GC 110 4-Oct-2003 21:58:58, 110 ms (0%), 2220602 occupied, 22779341 free *** Garbage collection starting *** GC 111 4-Oct-2003 21:59:52, 60 ms (0%), 1359040 occupied, 23640908 free *** Garbage collection starting *** GC 112 4-Oct-2003 21:59:54, 60 ms (0%), 1368524 occupied, 23631425 free *** Garbage collection starting *** GC 113 4-Oct-2003 21:59:56, 60 ms (0%), 1383476 occupied, 23616473 free *** Garbage collection starting *** GC 114 4-Oct-2003 21:59:59, 60 ms (0%), 1387050 occupied, 23612899 free Separation of e_5 yields (e_304 e_306 e_305 e_288 e_261 e_254 e_298 e_287 e_278 e_276 e_250 e_297 e_255 e_253 e_246 e_245 e_342 e_340 e_328 e_291 e_280 e_252 e_247 e_300 e_299 e_290 e_289 e_251 e_249 e_336 e_307 e_268 e_248 e_341 e_321 e_279 e_272 e_325 e_277 e_335 e_332 e_327 e_314 e_302 e_301 e_294 e_292 e_266 e_256 e_343 e_334 e_324 e_322 e_308 e_283 e_275 e_273 e_339 e_326 e_313 e_311 e_293 e_269 e_260 e_259 e_347 e_337 e_331 e_323 e_319 e_310 e_303 e_284 e_282 e_281 e_258 e_338 e_320 e_315 e_267 e_264 e_257 e_333 e_286 e_274 e_329 e_318 e_309 e_295 e_285 e_263 e_262 e_346 e_344 e_317 e_271 e_312 e_270 e_345 e_296 e_330 e_265 e_316) Step 9: separation w.r.t. x linear independent expressions : b(1) *Db(1)*Db(2) 7x b(2)*Db(2)*Db(2) 6x b(1) *Db(1)*Db(2) x 6x b(1)*Db(1) *Db(2) x 6x b(2) *Db(2)*Db(2) x 5x b(1) *Db(1)*Db(2) 2x 5x b(2)*Db(2) *Db(2) x 5x b(1)*Db(1) *Db(2) 2x 5x b(1) *Db(1) *Db(2) x x 5x b(2) *Db(2)*Db(2) 2x 4x b(1) *Db(1)*Db(2) 3x 4x b(2)*Db(2) *Db(2) 2x 4x b(2) *Db(2) *Db(2) x x 4x b(1)*Db(1) *Db(2) 3x 4x b(1) *Db(1) *Db(2) x 2x 4x b(1) *Db(1) *Db(2) 2x x 4x b(2) *Db(2)*Db(2) 3x 3x b(1) *Db(1)*Db(2) 4x 3x b(2) *Db(2) *Db(2) x 2x 3x b(2) *Db(2) *Db(2) 2x x 3x b(1)*Db(1) *Db(2) 4x 3x b(1) *Db(1) *Db(2) x 3x 3x b(1) *Db(1) *Db(2) 2x 2x 3x b(1) *Db(1) *Db(2) 3x x 3x b(2) *Db(2)*Db(2) 4x 2x b(1) *Db(1)*Db(2) 5x 2x b(2) *Db(2) *Db(2) 3x x 2x b(1)*Db(1) *Db(2) 5x 2x b(1) *Db(1) *Db(2) x 4x 2x b(1) *Db(1) *Db(2) 2x 3x 2x b(1) *Db(1) *Db(2) 3x 2x 2x b(1) *Db(1) *Db(2) 4x x 2x b(2) *Db(2)*Db(2) 5x x b(1) *Db(1)*Db(2) 6x x b(1)*Db(1) *Db(2) 6x x b(1) *Db(1) *Db(2) x 5x x b(1) *Db(1) *Db(2) 2x 4x x b(1) *Db(1) *Db(2) 3x 3x x b(1) *Db(1) *Db(2) 4x 2x x b(1) *Db(1) *Db(2) 5x x x b(1)*Db(2)*Db(1) 7x b(2)*Db(1)*Db(1) 7x b(1) *Db(2)*Db(1) x 6x b(2) *Db(1)*Db(1) x 6x b(2)*Db(1) *Db(1) x 6x b(1) *Db(2)*Db(1) 2x 5x b(2) *Db(1)*Db(1) 2x 5x b(2)*Db(1) *Db(1) 2x 5x b(2) *Db(1) *Db(1) x x 5x b(1) *Db(2)*Db(1) 3x 4x b(2) *Db(1)*Db(1) 3x 4x b(2)*Db(1) *Db(1) 3x 4x b(2) *Db(1) *Db(1) x 2x 4x b(2) *Db(1) *Db(1) 2x x 4x b(1) *Db(2)*Db(1) 4x 3x b(2) *Db(1)*Db(1) 4x 3x b(2) *Db(1) *Db(1) 2x 2x 3x b(2) *Db(1) *Db(1) 3x x 3x b(1) *Db(2)*Db(1) 5x 2x b(2) *Db(1)*Db(1) 5x 2x b(2) *Db(1) *Db(1) 4x x 2x b(1) *Db(2)*Db(1) 6x x b(2) *Db(1)*Db(1) 6x x 2 b(2) *b(2) 7x b(1)*b(1) *b(2) x 7x b(2)*b(2) *b(2) x 6x b(1)*b(1) *b(2) 2x 6x 2 b(1) *b(2) x 6x b(2)*b(2) *b(2) 2x 5x 2 b(2) *b(2) x 5x b(1)*b(1) *b(2) 3x 5x b(1) *b(1) *b(2) x 2x 5x b(2)*b(2) *b(2) 3x 4x b(2) *b(2) *b(2) x 2x 4x b(1)*b(1) *b(2) 4x 4x b(1) *b(1) *b(2) x 3x 4x 2 b(1) *b(2) 2x 4x 2 b(2) *b(2) x 3x 2 b(2) *b(2) 2x 3x b(1)*b(1) *b(2) 5x 3x b(1) *b(1) *b(2) x 4x 3x b(1) *b(1) *b(2) 2x 3x 3x b(1)*b(1) *b(2) 6x 2x b(1) *b(1) *b(2) x 5x 2x b(1) *b(1) *b(2) 2x 4x 2x 2 b(1) *b(2) 3x 2x b(1)*b(1) *b(2) 7x x b(1) *b(1) *b(2) x 6x x b(1) *b(1) *b(2) 2x 5x x b(1) *b(1) *b(2) 3x 4x x b(1)*b(2)*b(1) 8x b(2)*b(1) *b(1) x 7x b(2)*b(1) *b(1) 2x 6x b(2)*b(1) *b(1) 3x 5x 2 b(2)*b(1) 4x *** Garbage collection starting *** GC 115 4-Oct-2003 22:00:02, 60 ms (0%), 1399220 occupied, 23600729 free *** Garbage collection starting *** GC 116 4-Oct-2003 22:00:51, 70 ms (0%), 1533018 occupied, 23466931 free *** Garbage collection starting *** GC 117 4-Oct-2003 22:02:23, 70 ms (0%), 1666236 occupied, 23333713 free *** Garbage collection starting *** GC 118 4-Oct-2003 22:04:23, 80 ms (0%), 1797376 occupied, 23202573 free *** Garbage collection starting *** GC 119 4-Oct-2003 22:06:47, 90 ms (0%), 1934104 occupied, 23065845 free *** Garbage collection starting *** GC 120 4-Oct-2003 22:09:37, 90 ms (0%), 2082606 occupied, 22917343 free *** Garbage collection starting *** GC 121 4-Oct-2003 22:12:56, 110 ms (0%), 2199584 occupied, 22800365 free *** Garbage collection starting *** GC 122 4-Oct-2003 22:16:37, 120 ms (0%), 2333370 occupied, 22666579 free *** Garbage collection starting *** GC 123 4-Oct-2003 22:17:00, 60 ms (0%), 1384296 occupied, 23615653 free *** Garbage collection starting *** GC 124 4-Oct-2003 22:17:02, 60 ms (0%), 1391904 occupied, 23608045 free *** Garbage collection starting *** GC 125 4-Oct-2003 22:17:04, 60 ms (0%), 1397986 occupied, 23601963 free *** Garbage collection starting *** GC 126 4-Oct-2003 22:17:06, 60 ms (0%), 1413376 occupied, 23586573 free Separation of e_8 yields (e_379 e_378 e_441 e_440 e_439 e_436 e_401 e_398 e_391 e_375 e_435 e_431 e_395 e_376 e_402 e_377 e_373 e_352 e_348 e_438 e_380 e_437 e_434 e_408 e_365 e_364 e_349 e_429 e_422 e_399 e_390 e_388 e_374 e_372 e_370 e_366 e_351 e_350 e_442 e_430 e_426 e_424 e_416 e_410 e_400 e_394 e_371 e_357 e_356 e_433 e_423 e_415 e_393 e_353 e_427 e_418 e_396 e_386 e_369 e_368 e_360 e_428 e_397 e_389 e_383 e_381 e_367 e_355 e_354 e_432 e_421 e_412 e_409 e_407 e_405 e_384 e_382 e_363 e_361 e_358 e_420 e_414 e_406 e_387 e_359 e_425 e_419 e_404 e_392 e_385 e_362 e_413 e_417 e_403 e_411) e_379 is a consequence of e_170. e_441 is a consequence of e_210. Step 10: separation w.r.t. x linear independent expressions : b(2)*b(2) *Db(1)*Db(2) 4x b(2) *b(2) *Db(1)*Db(2) x 3x 2 b(2) *Db(1)*Db(2) 2x b(1)*b(1) *Db(1)*Db(2) 5x b(1) *b(1) *Db(1)*Db(2) x 4x b(1) *b(1) *Db(1)*Db(2) 2x 3x b(1)*b(2)*Db(2)*Db(2) 4x 2 b(2) *Db(1)*Db(2) 4x b(1)*b(1) *Db(1)*Db(2) x 4x 2 b(1) *Db(1) *Db(2) x 4x b(1)*b(2) *Db(2)*Db(2) x 3x b(2)*b(1) *Db(2)*Db(2) x 3x b(2)*b(2) *Db(1)*Db(2) x 3x b(1)*b(1) *Db(1)*Db(2) 2x 3x 2 b(1) *Db(1)*Db(2) x 3x b(1)*b(2)*Db(2) *Db(2) x 3x 2 b(1) *Db(1) *Db(2) 2x 3x 2 b(2) *Db(1) *Db(2) x 3x b(1)*b(1) *Db(1) *Db(2) x x 3x b(1)*b(2) *Db(2)*Db(2) 2x 2x b(1) *b(2) *Db(2)*Db(2) x x 2x b(2)*b(1) *Db(2)*Db(2) 2x 2x b(2)*b(2) *Db(1)*Db(2) 2x 2x 2 b(2) *Db(1)*Db(2) x 2x b(1)*b(1) *Db(1)*Db(2) 3x 2x b(1) *b(1) *Db(1)*Db(2) x 2x 2x Db(1)*Db(2)*Db(2) *Db(2) x 2x b(1)*b(2) *Db(2) *Db(2) x x 2x b(2)*b(1) *Db(2) *Db(2) x x 2x 2 b(1) *Db(1) *Db(2) 3x 2x 2 b(2) *Db(1) *Db(2) 2x 2x b(1)*b(1) *Db(1) *Db(2) x 2x 2x b(2)*b(2) *Db(1) *Db(2) x x 2x b(1)*b(1) *Db(1) *Db(2) 2x x 2x 2 b(1) *Db(1) *Db(2) x x 2x b(1)*b(2) *Db(2)*Db(2) 3x x b(1) *b(2) *Db(2)*Db(2) x 2x x b(1) *b(2) *Db(2)*Db(2) 2x x x b(2)*b(1) *Db(2)*Db(2) 3x x b(2)*b(2) *Db(1)*Db(2) 3x x b(2) *b(2) *Db(1)*Db(2) x 2x x b(1)*b(1) *Db(1)*Db(2) 4x x b(1) *b(1) *Db(1)*Db(2) x 3x x 2 b(1) *Db(1)*Db(2) 2x x 2 b(1) *Db(1) *Db(2) 4x x 2 b(2) *Db(1) *Db(2) 3x x b(1)*b(1) *Db(1) *Db(2) x 3x x Db(1)*Db(1) *Db(1) *Db(2) x 2x x b(2)*b(2) *Db(1) *Db(2) x 2x x b(1)*b(1) *Db(1) *Db(2) 2x 2x x 2 b(1) *Db(1) *Db(2) x 2x x b(2)*b(2) *Db(1) *Db(2) 2x x x 2 b(2) *Db(1) *Db(2) x x x b(1)*b(1) *Db(1) *Db(2) 3x x x b(1) *b(1) *Db(1) *Db(2) x 2x x x 2 b(1) *Db(2)*Db(1) 5x b(1)*b(2)*Db(1)*Db(1) 5x 2 b(2) *Db(2)*Db(1) 4x b(1)*b(1) *Db(2)*Db(1) x 4x b(1)*b(2) *Db(1)*Db(1) x 4x b(2)*b(1) *Db(1)*Db(1) x 4x b(1)*b(2)*Db(1) *Db(1) x 4x b(2)*b(2) *Db(2)*Db(1) x 3x b(1)*b(1) *Db(2)*Db(1) 2x 3x 2 b(1) *Db(2)*Db(1) x 3x b(1)*b(2) *Db(1)*Db(1) 2x 3x b(1) *b(2) *Db(1)*Db(1) x x 3x b(2)*b(1) *Db(1)*Db(1) 2x 3x b(1)*b(2)*Db(1) *Db(1) 2x 3x Db(1)*Db(2)*Db(1) *Db(1) x 3x b(1)*b(2) *Db(1) *Db(1) x x 3x b(2)*b(1) *Db(1) *Db(1) x x 3x b(2)*b(2) *Db(2)*Db(1) 2x 2x 2 b(2) *Db(2)*Db(1) x 2x b(1)*b(1) *Db(2)*Db(1) 3x 2x b(1) *b(1) *Db(2)*Db(1) x 2x 2x b(1)*b(2) *Db(1)*Db(1) 3x 2x b(1) *b(2) *Db(1)*Db(1) x 2x 2x b(1) *b(2) *Db(1)*Db(1) 2x x 2x b(2)*b(1) *Db(1)*Db(1) 3x 2x b(1)*b(2) *Db(1) *Db(1) 2x x 2x b(1) *b(2) *Db(1) *Db(1) x x x 2x b(2)*b(1) *Db(1) *Db(1) 2x x 2x b(2)*b(2) *Db(2)*Db(1) 3x x b(2) *b(2) *Db(2)*Db(1) x 2x x b(1)*b(1) *Db(2)*Db(1) 4x x b(1) *b(1) *Db(2)*Db(1) x 3x x 2 b(1) *Db(2)*Db(1) 2x x b(1)*b(2) *Db(1)*Db(1) 4x x b(1) *b(2) *Db(1)*Db(1) x 3x x b(1) *b(2) *Db(1)*Db(1) 2x 2x x b(1) *b(2) *Db(1)*Db(1) 3x x x b(2)*b(1) *Db(1)*Db(1) 4x x 2 b(1)*b(2) *b(2) 5x 2 b(1) *b(1) *b(2) x 5x b(1)*b(2)*b(2) *b(2) x 4x 2 b(1) *b(1) *b(2) 2x 4x 2 b(1)*b(1) *b(2) x 4x 2 b(2) *b(1) *b(2) x 4x b(1)*b(2)*b(2) *b(2) 2x 3x 2 b(1)*b(2) *b(2) x 3x b(2)*b(1) *b(2) *b(2) x x 3x 2 b(1) *b(1) *b(2) 3x 3x 2 b(2) *b(1) *b(2) 2x 3x b(1)*b(1) *b(1) *b(2) x 2x 3x 3 b(1) *b(2) x 3x 2 b(1)*b(2) *b(2) x 2x 2 b(2)*b(1) *b(2) x 2x 2 b(1) *b(2) *b(2) x x 2x b(2)*b(1) *b(2) *b(2) 2x x 2x 2 b(1) *b(1) *b(2) 4x 2x 2 b(2) *b(1) *b(2) 3x 2x b(1)*b(1) *b(1) *b(2) x 3x 2x 2 b(1)*b(1) *b(2) 2x 2x 2 b(1) *b(1) *b(2) x 2x 2x 3 b(1) *b(2) 2x x 2 b(2)*b(1) *b(2) 3x x 2 b(1) *b(1) *b(2) 5x x 2 b(2) *b(1) *b(2) 4x x b(1)*b(1) *b(1) *b(2) x 4x x b(1)*b(1) *b(1) *b(2) 2x 3x x 2 b(1) *b(1) *b(2) x 3x x 2 b(1) *b(1) *b(2) x 2x x 2 b(1) *b(2)*b(1) 6x 3 b(2) *b(1) 5x b(1)*b(2)*b(1) *b(1) x 5x b(1)*b(2)*b(1) *b(1) 2x 4x 2 b(2)*b(1) *b(1) x 4x 2 b(1)*b(2)*b(1) 3x b(2)*b(1) *b(1) *b(1) x 2x 3x 3 b(2)*b(1) 2x *** Garbage collection starting *** GC 127 4-Oct-2003 22:17:20, 70 ms (0%), 1431660 occupied, 23568289 free *** Garbage collection starting *** GC 128 4-Oct-2003 22:18:25, 70 ms (0%), 1509382 occupied, 23490566 free *** Garbage collection starting *** GC 129 4-Oct-2003 22:20:02, 70 ms (0%), 1632598 occupied, 23367350 free *** Garbage collection starting *** GC 130 4-Oct-2003 22:22:11, 80 ms (0%), 1757542 occupied, 23242405 free *** Garbage collection starting *** GC 131 4-Oct-2003 22:24:49, 90 ms (0%), 1884794 occupied, 23115153 free *** Garbage collection starting *** GC 132 4-Oct-2003 22:27:50, 90 ms (0%), 1986810 occupied, 23013137 free *** Garbage collection starting *** GC 133 4-Oct-2003 22:31:16, 100 ms (0%), 2051384 occupied, 22948563 free *** Garbage collection starting *** GC 134 4-Oct-2003 22:34:59, 110 ms (0%), 2188938 occupied, 22811009 free *** Garbage collection starting *** GC 135 4-Oct-2003 22:39:13, 110 ms (0%), 2293500 occupied, 22706447 free *** Garbage collection starting *** GC 136 4-Oct-2003 22:43:33, 130 ms (0%), 2432408 occupied, 22567539 free *** Garbage collection starting *** GC 137 4-Oct-2003 22:48:21, 130 ms (0%), 2564760 occupied, 22435187 free *** Garbage collection starting *** GC 138 4-Oct-2003 22:53:30, 140 ms (0%), 2670170 occupied, 22329776 free *** Garbage collection starting *** GC 139 4-Oct-2003 22:59:02, 150 ms (0%), 2753908 occupied, 22246038 free *** Garbage collection starting *** GC 140 4-Oct-2003 23:04:57, 150 ms (0%), 2840074 occupied, 22159872 free *** Garbage collection starting *** GC 141 4-Oct-2003 23:11:10, 160 ms (0%), 2937592 occupied, 22062354 free *** Garbage collection starting *** GC 142 4-Oct-2003 23:17:40, 170 ms (0%), 3061550 occupied, 21938396 free *** Garbage collection starting *** GC 143 4-Oct-2003 23:24:08, 180 ms (0%), 3203202 occupied, 21796744 free *** Garbage collection starting *** GC 144 4-Oct-2003 23:25:25, 60 ms (0%), 1407214 occupied, 23592735 free *** Garbage collection starting *** GC 145 4-Oct-2003 23:25:27, 60 ms (0%), 1421740 occupied, 23578209 free *** Garbage collection starting *** GC 146 4-Oct-2003 23:25:29, 60 ms (0%), 1432280 occupied, 23567669 free *** Garbage collection starting *** GC 147 4-Oct-2003 23:25:31, 70 ms (0%), 1442332 occupied, 23557617 free *** Garbage collection starting *** GC 148 4-Oct-2003 23:25:33, 60 ms (0%), 1450700 occupied, 23549249 free *** Garbage collection starting *** GC 149 4-Oct-2003 23:25:35, 70 ms (0%), 1461198 occupied, 23538751 free Separation of e_6 yields (e_566 e_556 e_479 e_516 e_480 e_565 e_564 e_449 e_543 e_528 e_458 e_443 e_567 e_557 e_475 e_558 e_517 e_512 e_505 e_477 e_476 e_468 e_455 e_529 e_518 e_504 e_500 e_491 e_470 e_450 e_562 e_561 e_559 e_502 e_462 e_445 e_573 e_544 e_511 e_494 e_481 e_457 e_571 e_550 e_545 e_541 e_506 e_473 e_471 e_446 e_563 e_560 e_555 e_551 e_547 e_535 e_534 e_521 e_513 e_499 e_486 e_485 e_466 e_465 e_463 e_459 e_456 e_552 e_526 e_525 e_522 e_490 e_478 e_467 e_460 e_572 e_553 e_546 e_539 e_538 e_509 e_469 e_451 e_448 e_447 e_444 e_554 e_537 e_536 e_533 e_501 e_474 e_472 e_452 e_530 e_523 e_515 e_514 e_503 e_493 e_464 e_453 e_570 e_489 e_461 e_540 e_524 e_510 e_508 e_568 e_548 e_542 e_527 e_520 e_497 e_488 e_487 e_549 e_532 e_498 e_483 e_454 e_569 e_519 e_484 e_495 e_492 e_482 e_507 e_496 e_531) *** Garbage collection starting *** GC 150 4-Oct-2003 23:25:37, 60 ms (0%), 1404442 occupied, 23595507 free 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 : 558 total no of terms : 6181 total no of factors : 12362 558 equations in 0 variables: e_531(28),e_507(25),e_496(25),e_495(24),e_492(24),e_482(24),e_569(23), e_519(23),e_484(23),e_125(22),e_316(22),e_549(22),e_532(22),e_498(22), e_483(22),e_454(22),e_330(21),e_265(21),e_411(21),e_568(21),e_548(21), e_542(21),e_527(21),e_520(21),e_497(21),e_488(21),e_487(21),e_345(20), e_296(20),e_417(20),e_403(20),e_540(20),e_524(20),e_510(20),e_508(20), e_155(19),e_312(19),e_270(19),e_413(19),e_570(19),e_489(19),e_461(19), e_346(18),e_344(18),e_317(18),e_271(18),e_425(18),e_419(18),e_404(18), e_392(18),e_385(18),e_362(18),e_530(18),e_523(18),e_515(18),e_514(18), e_503(18),e_493(18),e_464(18),e_453(18),e_329(17),e_318(17),e_309(17), e_295(17),e_285(17),e_263(17),e_262(17),e_420(17),e_414(17),e_406(17), e_387(17),e_359(17),e_554(17),e_537(17),e_536(17),e_533(17),e_501(17), e_474(17),e_472(17),e_452(17),e_157(16),e_134(16),e_130(16),e_110(16), e_198(16),e_333(16),e_286(16),e_274(16),e_432(16),e_421(16),e_412(16), e_409(16),e_407(16),e_405(16),e_384(16),e_382(16),e_363(16),e_361(16), e_358(16),e_572(16),e_553(16),e_546(16),e_539(16),e_538(16),e_509(16), e_469(16),e_451(16),e_448(16),e_447(16),e_444(16),e_98(15),e_136(15), e_131(15),e_113(15),e_213(15),e_212(15),e_203(15),e_194(15),e_181(15), e_178(15),e_174(15),e_338(15),e_320(15),e_315(15),e_267(15),e_264(15), e_257(15),e_428(15),e_397(15),e_389(15),e_383(15),e_381(15),e_367(15), e_355(15),e_354(15),e_552(15),e_526(15),e_525(15),e_522(15),e_490(15), e_478(15),e_467(15),e_460(15),e_75(14),e_72(14),e_145(14),e_129(14), e_119(14),e_231(14),e_224(14),e_220(14),e_216(14),e_214(14),e_177(14), e_347(14),e_337(14),e_331(14),e_323(14),e_319(14),e_310(14),e_303(14), e_284(14),e_282(14),e_281(14),e_258(14),e_427(14),e_418(14),e_396(14), e_386(14),e_369(14),e_368(14),e_360(14),e_563(14),e_560(14),e_555(14), e_551(14),e_547(14),e_535(14),e_534(14),e_521(14),e_513(14),e_499(14), e_486(14),e_485(14),e_466(14),e_465(14),e_463(14),e_459(14),e_456(14), e_71(13),e_158(13),e_147(13),e_144(13),e_105(13),e_228(13),e_223(13), e_219(13),e_211(13),e_191(13),e_185(13),e_184(13),e_182(13),e_180(13), e_176(13),e_339(13),e_326(13),e_313(13),e_311(13),e_293(13),e_269(13), e_260(13),e_259(13),e_433(13),e_423(13),e_415(13),e_393(13),e_353(13), e_571(13),e_550(13),e_545(13),e_541(13),e_506(13),e_473(13),e_471(13), e_446(13),e_97(12),e_90(12),e_89(12),e_73(12),e_160(12),e_146(12), e_140(12),e_127(12),e_111(12),e_103(12),e_237(12),e_236(12),e_230(12), e_226(12),e_175(12),e_343(12),e_334(12),e_324(12),e_322(12),e_308(12), e_283(12),e_275(12),e_273(12),e_442(12),e_430(12),e_426(12),e_424(12), e_416(12),e_410(12),e_400(12),e_394(12),e_371(12),e_357(12),e_356(12), e_573(12),e_544(12),e_511(12),e_494(12),e_481(12),e_457(12),e_133(11), e_116(11),e_109(11),e_240(11),e_225(11),e_222(11),e_218(11),e_217(11), e_186(11),e_173(11),e_335(11),e_332(11),e_327(11),e_314(11),e_302(11), e_301(11),e_294(11),e_292(11),e_266(11),e_256(11),e_429(11),e_422(11), e_399(11),e_390(11),e_388(11),e_374(11),e_372(11),e_370(11),e_366(11), e_351(11),e_350(11),e_562(11),e_561(11),e_559(11),e_502(11),e_462(11), e_445(11),e_49(10),e_48(10),e_47(10),e_100(10),e_83(10),e_82(10), e_81(10),e_76(10),e_159(10),e_154(10),e_148(10),e_112(10),e_104(10), e_244(10),e_232(10),e_227(10),e_221(10),e_188(10),e_187(10),e_183(10), e_179(10),e_325(10),e_277(10),e_437(10),e_434(10),e_408(10),e_365(10), e_364(10),e_349(10),e_529(10),e_518(10),e_504(10),e_500(10),e_491(10), e_470(10),e_450(10),e_58(9),e_96(9),e_65(9),e_124(9),e_108(9),e_241(9), e_234(9),e_233(9),e_229(9),e_207(9),e_341(9),e_321(9),e_279(9), e_272(9),e_438(9),e_380(9),e_558(9),e_517(9),e_512(9),e_505(9), e_477(9),e_476(9),e_468(9),e_455(9),e_57(8),e_56(8),e_50(8),e_46(8), e_94(8),e_92(8),e_88(8),e_87(8),e_78(8),e_74(8),e_153(8),e_139(8), e_138(8),e_132(8),e_118(8),e_117(8),e_107(8),e_106(8),e_102(8), e_238(8),e_206(8),e_202(8),e_193(8),e_189(8),e_172(8),e_171(8), e_165(8),e_163(8),e_336(8),e_307(8),e_268(8),e_248(8),e_402(8), e_377(8),e_373(8),e_352(8),e_348(8),e_567(8),e_557(8),e_475(8), e_34(7),e_59(7),e_156(7),e_143(7),e_137(7),e_123(7),e_239(7),e_215(7), e_197(7),e_190(7),e_166(7),e_300(7),e_299(7),e_290(7),e_289(7), e_251(7),e_249(7),e_435(7),e_431(7),e_395(7),e_376(7),e_543(7), e_528(7),e_458(7),e_443(7),e_17(6),e_35(6),e_33(6),e_32(6),e_60(6), e_55(6),e_51(6),e_45(6),e_93(6),e_69(6),e_151(6),e_150(6),e_142(6), e_141(6),e_128(6),e_122(6),e_115(6),e_243(6),e_242(6),e_204(6), e_199(6),e_195(6),e_168(6),e_164(6),e_162(6),e_161(6),e_342(6), e_340(6),e_328(6),e_291(6),e_280(6),e_252(6),e_247(6),e_436(6), e_401(6),e_398(6),e_391(6),e_375(6),e_565(6),e_564(6),e_449(6), e_42(5),e_29(5),e_28(5),e_77(5),e_63(5),e_135(5),e_101(5),e_235(5), e_200(5),e_196(5),e_192(5),e_167(5),e_297(5),e_255(5),e_253(5), e_246(5),e_245(5),e_516(5),e_480(5),e_14(4),e_13(4),e_24(4),e_23(4), e_21(4),e_19(4),e_18(4),e_43(4),e_41(4),e_40(4),e_36(4),e_30(4), e_27(4),e_61(4),e_54(4),e_52(4),e_44(4),e_99(4),e_95(4),e_86(4), e_79(4),e_70(4),e_66(4),e_64(4),e_152(4),e_126(4),e_121(4),e_210(4), e_205(4),e_298(4),e_287(4),e_278(4),e_276(4),e_250(4),e_440(4), e_439(4),e_556(4),e_479(4),e_16(3),e_20(3),e_38(3),e_37(3),e_80(3), e_114(3),e_209(3),e_208(3),e_201(3),e_169(3),e_306(3),e_305(3), e_288(3),e_261(3),e_254(3),e_378(3),e_566(3),e_15(2),e_22(2),e_39(2), e_31(2),e_62(2),e_53(2),e_91(2),e_85(2),e_84(2),e_68(2),e_67(2), e_149(2),e_120(2),e_170(2),e_304(2),e_26(1#) 80 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, p11,p12,p13,p14,p15,p16,p17,p18,p19,p20,p21, q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11, q12,q13,q14,q15,q16,q17,q18,q19,q20,q21,q22, q23,q24,q25,q26,q27,q28,q29,q30,q31,q32,q33, q34,q35,q36,q37,q38,q39,q40,q41,q42,q43,q44, q45,q46,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_26,e_304,e_170,e_120,e_149,e_67,e_68,e_84,e_85,e_91,e_53,e_62,e_31,e_39,e_22, e_15,e_566,e_378,e_254,e_261,e_288,e_305,e_306,e_169,e_201,e_208,e_209,e_114, e_80,e_37,e_38,e_20,e_16,e_479,e_556,e_439,e_440,e_250,e_276,e_278,e_287,e_298, e_205,e_210,e_121,e_126,e_152,e_64,e_66,e_70,e_79,e_86,e_95,e_99,e_44,e_52,e_54, e_61,e_27,e_30,e_36,e_40,e_41,e_43,e_18,e_19,e_21,e_23,e_24,e_13,e_14,e_480, e_516,e_245,e_246,e_253,e_255,e_297,e_167,e_192,e_196,e_200,e_235,e_101,e_135, e_63,e_77,e_28,e_29,e_42,e_449,e_564,e_565,e_375,e_391,e_398,e_401,e_436,e_247, e_252,e_280,e_291,e_328,e_340,e_342,e_161,e_162,e_164,e_168,e_195,e_199,e_204, e_242,e_243,e_115,e_122,e_128,e_141,e_142,e_150,e_151,e_69,e_93,e_45,e_51,e_55, e_60,e_32,e_33,e_35,e_17,e_443,e_458,e_528,e_543,e_376,e_395,e_431,e_435,e_249, e_251,e_289,e_290,e_299,e_300,e_166,e_190,e_197,e_215,e_239,e_123,e_137,e_143, e_156,e_59,e_34,e_475,e_557,e_567,e_348,e_352,e_373,e_377,e_402,e_248,e_268, e_307,e_336,e_163,e_165,e_171,e_172,e_189,e_193,e_202,e_206,e_238,e_102,e_106, e_107,e_117,e_118,e_132,e_138,e_139,e_153,e_74,e_78,e_87,e_88,e_92,e_94,e_46, e_50,e_56,e_57,e_455,e_468,e_476,e_477,e_505,e_512,e_517,e_558,e_380,e_438,e_272 ,e_279,e_321,e_341,e_207,e_229,e_233,e_234,e_241,e_108,e_124,e_65,e_96,e_58, e_450,e_470,e_491,e_500,e_504,e_518,e_529,e_349,e_364,e_365,e_408,e_434,e_437, e_277,e_325,e_179,e_183,e_187,e_188,e_221,e_227,e_232,e_244,e_104,e_112,e_148, e_154,e_159,e_76,e_81,e_82,e_83,e_100,e_47,e_48,e_49,e_445,e_462,e_502,e_559, e_561,e_562,e_350,e_351,e_366,e_370,e_372,e_374,e_388,e_390,e_399,e_422,e_429, e_256,e_266,e_292,e_294,e_301,e_302,e_314,e_327,e_332,e_335,e_173,e_186,e_217, e_218,e_222,e_225,e_240,e_109,e_116,e_133,e_457,e_481,e_494,e_511,e_544,e_573, e_356,e_357,e_371,e_394,e_400,e_410,e_416,e_424,e_426,e_430,e_442,e_273,e_275, e_283,e_308,e_322,e_324,e_334,e_343,e_175,e_226,e_230,e_236,e_237,e_103,e_111, e_127,e_140,e_146,e_160,e_73,e_89,e_90,e_97,e_446,e_471,e_473,e_506,e_541,e_545, e_550,e_571,e_353,e_393,e_415,e_423,e_433,e_259,e_260,e_269,e_293,e_311,e_313, e_326,e_339,e_176,e_180,e_182,e_184,e_185,e_191,e_211,e_219,e_223,e_228,e_105, e_144,e_147,e_158,e_71,e_456,e_459,e_463,e_465,e_466,e_485,e_486,e_499,e_513, e_521,e_534,e_535,e_547,e_551,e_555,e_560,e_563,e_360,e_368,e_369,e_386,e_396, e_418,e_427,e_258,e_281,e_282,e_284,e_303,e_310,e_319,e_323,e_331,e_337,e_347, e_177,e_214,e_216,e_220,e_224,e_231,e_119,e_129,e_145,e_72,e_75,e_460,e_467, e_478,e_490,e_522,e_525,e_526,e_552,e_354,e_355,e_367,e_381,e_383,e_389,e_397, e_428,e_257,e_264,e_267,e_315,e_320,e_338,e_174,e_178,e_181,e_194,e_203,e_212, e_213,e_113,e_131,e_136,e_98,e_444,e_447,e_448,e_451,e_469,e_509,e_538,e_539, e_546,e_553,e_572,e_358,e_361,e_363,e_382,e_384,e_405,e_407,e_409,e_412,e_421, e_432,e_274,e_286,e_333,e_198,e_110,e_130,e_134,e_157,e_452,e_472,e_474,e_501, e_533,e_536,e_537,e_554,e_359,e_387,e_406,e_414,e_420,e_262,e_263,e_285,e_295, e_309,e_318,e_329,e_453,e_464,e_493,e_503,e_514,e_515,e_523,e_530,e_362,e_385, e_392,e_404,e_419,e_425,e_271,e_317,e_344,e_346,e_461,e_489,e_570,e_413,e_270, e_312,e_155,e_508,e_510,e_524,e_540,e_403,e_417,e_296,e_345,e_487,e_488,e_497, e_520,e_527,e_542,e_548,e_568,e_411,e_265,e_330,e_454,e_483,e_498,e_532,e_549, e_316,e_125,e_484,e_519,e_569,e_482,e_492,e_495,e_496,e_507,e_531 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 151 4-Oct-2003 23:26:22, 60 ms (0%), 1410080 occupied, 23589868 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 : *** Garbage collection starting *** GC 152 4-Oct-2003 23:26:26, 60 ms (0%), 1414754 occupied, 23585195 free 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 : *** Garbage collection starting *** GC 153 4-Oct-2003 23:26:28, 60 ms (0%), 1413272 occupied, 23586677 free shortening by 1 term Step 29: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 1 term Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 34: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 154 4-Oct-2003 23:26:31, 60 ms (0%), 1413240 occupied, 23586709 free shortening by 1 term Step 35: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 38: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 39: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 40: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 41: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 155 4-Oct-2003 23:26:33, 60 ms (0%), 1411800 occupied, 23588149 free shortening by 1 term Step 42: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_643 is a consequence of e_640. 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 156 4-Oct-2003 23:26:35, 60 ms (0%), 1413334 occupied, 23586615 free shortening by 1 term 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 : *** Garbage collection starting *** GC 157 4-Oct-2003 23:26:38, 60 ms (0%), 1412366 occupied, 23587583 free shortening by 1 term e_648 is a consequence of e_644. 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 2 terms Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 47: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 48: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 49: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 158 4-Oct-2003 23:26:40, 60 ms (0%), 1412158 occupied, 23587791 free shortening by 2 terms Step 50: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 51: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 52: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 2 terms Step 55: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 159 4-Oct-2003 23:26:42, 50 ms (0%), 1411396 occupied, 23588553 free shortening by 2 terms Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 57: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : 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 : *** Garbage collection starting *** GC 160 4-Oct-2003 23:26:44, 60 ms (0%), 1411702 occupied, 23588247 free *** Garbage collection starting *** GC 161 4-Oct-2003 23:26:46, 60 ms (0%), 1412966 occupied, 23586983 free *** Garbage collection starting *** GC 162 4-Oct-2003 23:26:48, 60 ms (0%), 1414768 occupied, 23585181 free shortening by 1 term Step 60: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 163 4-Oct-2003 23:26:50, 60 ms (0%), 1411458 occupied, 23588491 free shortening by 1 term Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_691 is a consequence of e_254. 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 : 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 164 4-Oct-2003 23:26:53, 60 ms (0%), 1410844 occupied, 23589105 free shortening by 1 term Step 67: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 165 4-Oct-2003 23:26:55, 60 ms (0%), 1413232 occupied, 23586717 free *** Garbage collection starting *** GC 166 4-Oct-2003 23:26:57, 60 ms (0%), 1415622 occupied, 23584327 free shortening by 1 term Step 68: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 1 term 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 : shortening by 1 term 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 167 4-Oct-2003 23:26:59, 60 ms (0%), 1411190 occupied, 23588759 free shortening by 1 term 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 : shortening by 1 term Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 168 4-Oct-2003 23:27:01, 60 ms (0%), 1411020 occupied, 23588929 free shortening by 2 terms 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 : shortening by 1 term Step 76: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 77: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 78: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 79: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 80: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 81: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 82: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 83: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 84: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 85: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 169 4-Oct-2003 23:27:04, 60 ms (0%), 1411724 occupied, 23588225 free *** Garbage collection starting *** GC 170 4-Oct-2003 23:27:06, 60 ms (0%), 1413242 occupied, 23586707 free *** Garbage collection starting *** GC 171 4-Oct-2003 23:27:08, 60 ms (0%), 1413942 occupied, 23586007 free *** Garbage collection starting *** GC 172 4-Oct-2003 23:27:09, 60 ms (0%), 1414868 occupied, 23585081 free shortening by 1 term Step 88: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 1 term 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 : shortening by 1 term 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 1 term Step 94: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 173 4-Oct-2003 23:27:12, 60 ms (0%), 1411014 occupied, 23588935 free shortening by 1 term Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 97: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 98: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 : *** Garbage collection starting *** GC 174 4-Oct-2003 23:27:14, 60 ms (0%), 1410562 occupied, 23589387 free shortening by 1 term Step 106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_625 is a consequence of e_50. 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 175 4-Oct-2003 23:27:17, 60 ms (0%), 1412198 occupied, 23587750 free *** Garbage collection starting *** GC 176 4-Oct-2003 23:27:19, 60 ms (0%), 1412286 occupied, 23587662 free 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 : *** Garbage collection starting *** GC 177 4-Oct-2003 23:27:21, 60 ms (0%), 1411300 occupied, 23588649 free shortening by 2 terms 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 : 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 : *** Garbage collection starting *** GC 178 4-Oct-2003 23:27:23, 60 ms (0%), 1411352 occupied, 23588597 free 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 : shortening by 1 term Step 126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 179 4-Oct-2003 23:27:25, 60 ms (0%), 1410680 occupied, 23589269 free *** Garbage collection starting *** GC 180 4-Oct-2003 23:27:27, 60 ms (0%), 1411632 occupied, 23588317 free *** Garbage collection starting *** GC 181 4-Oct-2003 23:27:29, 60 ms (0%), 1412380 occupied, 23587569 free shortening by 1 term Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 182 4-Oct-2003 23:27:31, 60 ms (0%), 1410534 occupied, 23589415 free shortening by 1 term Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 183 4-Oct-2003 23:27:33, 60 ms (0%), 1409522 occupied, 23590427 free *** Garbage collection starting *** GC 184 4-Oct-2003 23:27:34, 60 ms (0%), 1410662 occupied, 23589287 free *** Garbage collection starting *** GC 185 4-Oct-2003 23:27:36, 60 ms (0%), 1411674 occupied, 23588275 free *** Garbage collection starting *** GC 186 4-Oct-2003 23:27:38, 60 ms (0%), 1412076 occupied, 23587873 free *** Garbage collection starting *** GC 187 4-Oct-2003 23:27:40, 60 ms (0%), 1413290 occupied, 23586657 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 188 4-Oct-2003 23:27:43, 80 ms (0%), 1589679 occupied, 23410181 free Eliminate q39 from e_50 and e_654. e_654: 3 terms, 6 factors, with derivatives of functions of all variables: (q55,q39,q36,p21,p19) is replaced by e_713: 0=2*p19*q55 + 5*p21*q36 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 : *** Garbage collection starting *** GC 189 4-Oct-2003 23:27:47, 60 ms (0%), 1409686 occupied, 23590263 free 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 2 terms 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 : *** Garbage collection starting *** GC 190 4-Oct-2003 23:27:49, 60 ms (0%), 1413284 occupied, 23586665 free *** Garbage collection starting *** GC 191 4-Oct-2003 23:27:51, 70 ms (0%), 1413326 occupied, 23586623 free *** Garbage collection starting *** GC 192 4-Oct-2003 23:27:53, 60 ms (0%), 1413342 occupied, 23586607 free shortening by 2 terms Step 138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 193 4-Oct-2003 23:27:55, 60 ms (0%), 1411434 occupied, 23588515 free *** Garbage collection starting *** GC 194 4-Oct-2003 23:27:57, 60 ms (0%), 1411952 occupied, 23587997 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 195 4-Oct-2003 23:27:58, 60 ms (0%), 1409740 occupied, 23590209 free 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 : *** Garbage collection starting *** GC 196 4-Oct-2003 23:28:00, 60 ms (0%), 1410370 occupied, 23589579 free shortening by 2 terms Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 197 4-Oct-2003 23:28:02, 70 ms (0%), 1409176 occupied, 23590772 free shortening by 1 term e_10 is a consequence of e_741. 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 : shortening by 1 term Step 149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 198 4-Oct-2003 23:28:04, 70 ms (0%), 1408846 occupied, 23591103 free shortening by 2 terms Step 152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 23:28:06, 60 ms (0%), 1409164 occupied, 23590785 free shortening by 2 terms Step 155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 23:28:08, 60 ms (0%), 1409444 occupied, 23590505 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 : shortening by 1 term Step 158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 201 4-Oct-2003 23:28:10, 70 ms (0%), 1408984 occupied, 23590965 free shortening by 2 terms Step 159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : *** Garbage collection starting *** GC 202 4-Oct-2003 23:28:12, 60 ms (0%), 1409408 occupied, 23590541 free shortening by 1 term Step 161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 203 4-Oct-2003 23:28:14, 60 ms (0%), 1409204 occupied, 23590745 free 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 : shortening by 1 term Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 204 4-Oct-2003 23:28:16, 60 ms (0%), 1410240 occupied, 23589708 free *** Garbage collection starting *** GC 205 4-Oct-2003 23:28:18, 60 ms (0%), 1412704 occupied, 23587244 free shortening by 2 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 : shortening by 1 term 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 206 4-Oct-2003 23:28:20, 60 ms (0%), 1409286 occupied, 23590663 free shortening by 1 term Step 168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 207 4-Oct-2003 23:28:22, 70 ms (0%), 1409448 occupied, 23590501 free 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 : *** Garbage collection starting *** GC 208 4-Oct-2003 23:28:24, 60 ms (0%), 1408896 occupied, 23591053 free 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 : *** Garbage collection starting *** GC 209 4-Oct-2003 23:28:26, 60 ms (0%), 1408998 occupied, 23590951 free *** Garbage collection starting *** GC 210 4-Oct-2003 23:28:28, 60 ms (0%), 1409888 occupied, 23590061 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 211 4-Oct-2003 23:28:29, 70 ms (0%), 1408688 occupied, 23591261 free shortening by 1 term Step 175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 212 4-Oct-2003 23:28:31, 60 ms (0%), 1408432 occupied, 23591517 free *** Garbage collection starting *** GC 213 4-Oct-2003 23:28:33, 70 ms (0%), 1409456 occupied, 23590493 free shortening by 2 terms 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 214 4-Oct-2003 23:28:35, 60 ms (0%), 1409258 occupied, 23590691 free *** Garbage collection starting *** GC 215 4-Oct-2003 23:28:36, 60 ms (0%), 1410394 occupied, 23589555 free shortening by 1 term Step 179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 216 4-Oct-2003 23:28:38, 60 ms (0%), 1409402 occupied, 23590547 free 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 1 term Step 181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 217 4-Oct-2003 23:28:40, 60 ms (0%), 1408864 occupied, 23591085 free *** Garbage collection starting *** GC 218 4-Oct-2003 23:28:42, 60 ms (0%), 1409934 occupied, 23590015 free *** Garbage collection starting *** GC 219 4-Oct-2003 23:28:43, 60 ms (0%), 1410472 occupied, 23589477 free *** Garbage collection starting *** GC 220 4-Oct-2003 23:28:45, 60 ms (0%), 1411600 occupied, 23588349 free *** Garbage collection starting *** GC 221 4-Oct-2003 23:28:46, 60 ms (0%), 1411618 occupied, 23588331 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_50 and e_646. e_646: 3 terms, 6 factors, with derivatives of functions of all variables: (q55,q39,q36,p21,p15) is replaced by e_657: 0=2*p15*q55 - 5*p21*q36 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 : *** Garbage collection starting *** GC 222 4-Oct-2003 23:28:50, 60 ms (0%), 1408524 occupied, 23591425 free *** Garbage collection starting *** GC 223 4-Oct-2003 23:28:51, 60 ms (0%), 1409674 occupied, 23590275 free *** Garbage collection starting *** GC 224 4-Oct-2003 23:28:53, 60 ms (0%), 1410308 occupied, 23589641 free shortening by 3 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 : *** Garbage collection starting *** GC 225 4-Oct-2003 23:28:54, 60 ms (0%), 1408784 occupied, 23591165 free shortening by 1 term Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 226 4-Oct-2003 23:28:56, 60 ms (0%), 1408190 occupied, 23591759 free *** Garbage collection starting *** GC 227 4-Oct-2003 23:28:58, 60 ms (0%), 1408968 occupied, 23590981 free *** Garbage collection starting *** GC 228 4-Oct-2003 23:28:59, 60 ms (0%), 1409676 occupied, 23590273 free *** Garbage collection starting *** GC 229 4-Oct-2003 23:29:01, 60 ms (0%), 1410074 occupied, 23589875 free *** Garbage collection starting *** GC 230 4-Oct-2003 23:29:02, 60 ms (0%), 1411076 occupied, 23588873 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_50 and e_38. e_38: 3 terms, 6 factors, with derivatives of functions of all variables: (q42,q39,q36,p21,p19) is replaced by e_668: 0=p19*q42 - 5*p21*q36 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 : *** Garbage collection starting *** GC 231 4-Oct-2003 23:29:05, 60 ms (0%), 1408162 occupied, 23591787 free *** Garbage collection starting *** GC 232 4-Oct-2003 23:29:07, 60 ms (0%), 1408778 occupied, 23591171 free 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 : *** Garbage collection starting *** GC 233 4-Oct-2003 23:29:08, 60 ms (0%), 1408128 occupied, 23591821 free *** Garbage collection starting *** GC 234 4-Oct-2003 23:29:10, 60 ms (0%), 1408956 occupied, 23590993 free shortening by 2 terms Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 235 4-Oct-2003 23:29:12, 60 ms (0%), 1408972 occupied, 23590977 free *** Garbage collection starting *** GC 236 4-Oct-2003 23:29:13, 60 ms (0%), 1409310 occupied, 23590639 free *** Garbage collection starting *** GC 237 4-Oct-2003 23:29:15, 60 ms (0%), 1409598 occupied, 23590351 free shortening by 2 terms Step 192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 238 4-Oct-2003 23:29:17, 60 ms (0%), 1408518 occupied, 23591431 free *** Garbage collection starting *** GC 239 4-Oct-2003 23:29:18, 60 ms (0%), 1409074 occupied, 23590875 free *** Garbage collection starting *** GC 240 4-Oct-2003 23:29:20, 60 ms (0%), 1410136 occupied, 23589813 free shortening by 4 terms Step 193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 241 4-Oct-2003 23:29:21, 60 ms (0%), 1408268 occupied, 23591681 free shortening by 2 terms Step 194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 242 4-Oct-2003 23:29:23, 60 ms (0%), 1408804 occupied, 23591144 free *** Garbage collection starting *** GC 243 4-Oct-2003 23:29:25, 70 ms (0%), 1410032 occupied, 23589915 free *** Garbage collection starting *** GC 244 4-Oct-2003 23:29:26, 60 ms (0%), 1411168 occupied, 23588779 free *** Garbage collection starting *** GC 245 4-Oct-2003 23:29:27, 60 ms (0%), 1412046 occupied, 23587901 free *** Garbage collection starting *** GC 246 4-Oct-2003 23:29:29, 70 ms (0%), 1412444 occupied, 23587503 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_50 and e_51. e_51: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q39,q36,p21,p19) is replaced by e_678: 0=2*p19*q57 + 5*p21*q36 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 : *** Garbage collection starting *** GC 247 4-Oct-2003 23:29:32, 60 ms (0%), 1407886 occupied, 23592063 free *** Garbage collection starting *** GC 248 4-Oct-2003 23:29:33, 60 ms (0%), 1408964 occupied, 23590985 free *** Garbage collection starting *** GC 249 4-Oct-2003 23:29:35, 60 ms (0%), 1409922 occupied, 23590027 free *** Garbage collection starting *** GC 250 4-Oct-2003 23:29:36, 60 ms (0%), 1410974 occupied, 23588975 free *** Garbage collection starting *** GC 251 4-Oct-2003 23:29:37, 60 ms (0%), 1410978 occupied, 23588971 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_50 and e_607. e_607: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q39,q36,p21,p19) is replaced by e_372: 0=2*p19*q44 - 15*p21*q36 Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 252 4-Oct-2003 23:29:41, 60 ms (0%), 1407844 occupied, 23592105 free *** Garbage collection starting *** GC 253 4-Oct-2003 23:29:42, 60 ms (0%), 1407850 occupied, 23592099 free shortening by 3 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 : *** Garbage collection starting *** GC 254 4-Oct-2003 23:29:43, 60 ms (0%), 1407758 occupied, 23592191 free *** Garbage collection starting *** GC 255 4-Oct-2003 23:29:45, 60 ms (0%), 1409098 occupied, 23590851 free shortening by 1 term Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 256 4-Oct-2003 23:29:46, 60 ms (0%), 1408148 occupied, 23591801 free *** Garbage collection starting *** GC 257 4-Oct-2003 23:29:47, 60 ms (0%), 1409538 occupied, 23590410 free 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 258 4-Oct-2003 23:29:49, 60 ms (0%), 1407608 occupied, 23592341 free *** Garbage collection starting *** GC 259 4-Oct-2003 23:29:50, 60 ms (0%), 1407652 occupied, 23592297 free *** Garbage collection starting *** GC 260 4-Oct-2003 23:29:51, 70 ms (0%), 1408886 occupied, 23591063 free *** Garbage collection starting *** GC 261 4-Oct-2003 23:29:53, 60 ms (0%), 1409888 occupied, 23590061 free *** Garbage collection starting *** GC 262 4-Oct-2003 23:29:54, 60 ms (0%), 1411038 occupied, 23588911 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_616 and e_56. e_56: 3 terms, 6 factors, with derivatives of functions of all variables: (q48,q45,q39,p19,p15) is replaced by e_253: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q39,p19,p15) Step 201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 263 4-Oct-2003 23:29:57, 60 ms (0%), 1408010 occupied, 23591938 free *** Garbage collection starting *** GC 264 4-Oct-2003 23:29:59, 60 ms (0%), 1410124 occupied, 23589824 free *** Garbage collection starting *** GC 265 4-Oct-2003 23:30:01, 60 ms (0%), 1410130 occupied, 23589818 free *** Garbage collection starting *** GC 266 4-Oct-2003 23:30:02, 60 ms (0%), 1411054 occupied, 23588894 free *** Garbage collection starting *** GC 267 4-Oct-2003 23:30:03, 60 ms (0%), 1411906 occupied, 23588042 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 23:30:07, 80 ms (0%), 1621498 occupied, 23378328 free *** Garbage collection starting *** GC 269 4-Oct-2003 23:30:10, 90 ms (0%), 1745035 occupied, 23254697 free *** Garbage collection starting *** GC 270 4-Oct-2003 23:30:14, 90 ms (0%), 1845029 occupied, 23154663 free *** Garbage collection starting *** GC 271 4-Oct-2003 23:30:17, 100 ms (0%), 1931878 occupied, 23067733 free *** Garbage collection starting *** GC 272 4-Oct-2003 23:30:21, 100 ms (0%), 2009095 occupied, 22990450 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_26 we get the alternative equations : 0=p18 0=q27 New level : 1. CRACK is now called with the new equation e_415 : 0=p18 Step 202: Hot list of urgent steps : The list of inequalities got extended by: g0044*p20 + g0046*p16 + g0047*p14 e_714 is a consequence of e_654. e_192 is a consequence of e_726. e_755 is a consequence of e_753. Substitution of p18 found in e_415 : p18=0 Step 203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 273 4-Oct-2003 23:30:25, 70 ms (0%), 1488987 occupied, 23510953 free --- 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 : shortening by 1 term Step 206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 274 4-Oct-2003 23:30:28, 70 ms (0%), 1485501 occupied, 23514441 free shortening by 1 term Step 213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 275 4-Oct-2003 23:30:30, 70 ms (0%), 1488381 occupied, 23511561 free *** Garbage collection starting *** GC 276 4-Oct-2003 23:30:33, 70 ms (0%), 1489137 occupied, 23510805 free shortening by 1 term Step 218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 277 4-Oct-2003 23:30:35, 70 ms (0%), 1486135 occupied, 23513808 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 1 term Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 278 4-Oct-2003 23:30:37, 70 ms (0%), 1485909 occupied, 23514034 free shortening by 1 term Step 223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 279 4-Oct-2003 23:30:39, 70 ms (0%), 1487425 occupied, 23512518 free *** Garbage collection starting *** GC 280 4-Oct-2003 23:30:41, 70 ms (0%), 1488523 occupied, 23511420 free *** Garbage collection starting *** GC 281 4-Oct-2003 23:30:44, 70 ms (0%), 1488607 occupied, 23511336 free shortening by 4 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 1 term Step 225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_248 is a consequence of e_661. Step 226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 282 4-Oct-2003 23:30:46, 70 ms (0%), 1485211 occupied, 23514732 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 283 4-Oct-2003 23:30:48, 70 ms (0%), 1485513 occupied, 23514430 free *** Garbage collection starting *** GC 284 4-Oct-2003 23:30:50, 70 ms (0%), 1486941 occupied, 23513002 free *** Garbage collection starting *** GC 285 4-Oct-2003 23:30:51, 60 ms (0%), 1487641 occupied, 23512302 free shortening by 1 term Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 286 4-Oct-2003 23:30:53, 70 ms (0%), 1484843 occupied, 23515099 free *** Garbage collection starting *** GC 287 4-Oct-2003 23:30:55, 70 ms (0%), 1486189 occupied, 23513753 free shortening by 1 term Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 288 4-Oct-2003 23:30:56, 70 ms (0%), 1484815 occupied, 23515128 free shortening by 1 term Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 289 4-Oct-2003 23:30:58, 70 ms (0%), 1485659 occupied, 23514283 free *** Garbage collection starting *** GC 290 4-Oct-2003 23:31:00, 70 ms (0%), 1486277 occupied, 23513665 free *** Garbage collection starting *** GC 291 4-Oct-2003 23:31:01, 70 ms (0%), 1486263 occupied, 23513679 free *** Garbage collection starting *** GC 292 4-Oct-2003 23:31:02, 70 ms (0%), 1487249 occupied, 23512693 free *** Garbage collection starting *** GC 293 4-Oct-2003 23:31:03, 70 ms (0%), 1487335 occupied, 23512607 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 294 4-Oct-2003 23:31:07, 90 ms (0%), 1847530 occupied, 23152174 free *** Garbage collection starting *** GC 295 4-Oct-2003 23:31:11, 100 ms (0%), 2058992 occupied, 22940485 free *** Garbage collection starting *** GC 296 4-Oct-2003 23:31:15, 70 ms (0%), 1617234 occupied, 23382620 free *** Garbage collection starting *** GC 297 4-Oct-2003 23:31:19, 100 ms (0%), 1900892 occupied, 23098707 free *** Garbage collection starting *** GC 298 4-Oct-2003 23:31:23, 110 ms (0%), 2103544 occupied, 22895918 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_716 we get the alternative equations : 0=p7 0=q35 New level : 1.1. CRACK is now called with the new equation e_583 : 0=p7 Step 237: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms *** Garbage collection starting *** GC 299 4-Oct-2003 23:31:27, 70 ms (0%), 1572264 occupied, 23427675 free Substitution of p7 found in e_583 : p7=0 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 e_582 is a consequence of e_202. Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 300 4-Oct-2003 23:31:30, 70 ms (0%), 1579418 occupied, 23420521 free shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 301 4-Oct-2003 23:31:34, 80 ms (0%), 1579114 occupied, 23420824 free *** Garbage collection starting *** GC 302 4-Oct-2003 23:31:36, 80 ms (0%), 1581894 occupied, 23418044 free *** Garbage collection starting *** GC 303 4-Oct-2003 23:31:39, 80 ms (0%), 1582428 occupied, 23417510 free shortening by 3 terms Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 304 4-Oct-2003 23:31:41, 80 ms (0%), 1580626 occupied, 23419313 free shortening by 2 terms Step 250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 305 4-Oct-2003 23:31:44, 80 ms (0%), 1578534 occupied, 23421405 free *** Garbage collection starting *** GC 306 4-Oct-2003 23:31:46, 70 ms (0%), 1580692 occupied, 23419247 free *** Garbage collection starting *** GC 307 4-Oct-2003 23:31:48, 80 ms (0%), 1581952 occupied, 23417987 free *** Garbage collection starting *** GC 308 4-Oct-2003 23:31:50, 80 ms (0%), 1583068 occupied, 23416871 free *** Garbage collection starting *** GC 309 4-Oct-2003 23:31:53, 80 ms (0%), 1583302 occupied, 23416636 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 310 4-Oct-2003 23:31:57, 100 ms (0%), 2007086 occupied, 22992430 free *** Garbage collection starting *** GC 311 4-Oct-2003 23:32:01, 80 ms (0%), 1586210 occupied, 23413662 free *** Garbage collection starting *** GC 312 4-Oct-2003 23:32:05, 100 ms (0%), 2010112 occupied, 22989398 free *** Garbage collection starting *** GC 313 4-Oct-2003 23:32:09, 80 ms (0%), 1597110 occupied, 23402765 free *** Garbage collection starting *** GC 314 4-Oct-2003 23:32:14, 110 ms (0%), 2012770 occupied, 22986759 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_980 we get the alternative equations : 0=p1 0=q22 New level : 1.1.1. CRACK is now called with the new equation e_1006 : 0=p1 e_96,e_584 are consequences of e_1006 Step 253: Hot list of urgent steps : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 8 terms e_1022 is a consequence of e_1019. Substitution of p1 found in e_1006 : p1=0 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 : *** Garbage collection starting *** GC 315 4-Oct-2003 23:32:17, 90 ms (0%), 1654922 occupied, 23345009 free --- Algebraic length reduction of equations : shortening by 1 term Step 255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 316 4-Oct-2003 23:32:21, 80 ms (0%), 1651570 occupied, 23348362 free shortening by 2 terms 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 e_1004 is a consequence of e_162. 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 : shortening by 1 term Step 279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 317 4-Oct-2003 23:32:25, 80 ms (0%), 1649112 occupied, 23350818 free *** Garbage collection starting *** GC 318 4-Oct-2003 23:32:27, 80 ms (0%), 1651546 occupied, 23348384 free *** Garbage collection starting *** GC 319 4-Oct-2003 23:32:30, 80 ms (0%), 1652224 occupied, 23347706 free shortening by 1 term Step 281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms Step 283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 320 4-Oct-2003 23:32:32, 80 ms (0%), 1649462 occupied, 23350468 free shortening by 1 term Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 321 4-Oct-2003 23:32:35, 80 ms (0%), 1649930 occupied, 23350000 free *** Garbage collection starting *** GC 322 4-Oct-2003 23:32:37, 80 ms (0%), 1650856 occupied, 23349074 free *** Garbage collection starting *** GC 323 4-Oct-2003 23:32:39, 90 ms (0%), 1651184 occupied, 23348746 free *** Garbage collection starting *** GC 324 4-Oct-2003 23:32:41, 90 ms (0%), 1651540 occupied, 23348390 free *** Garbage collection starting *** GC 325 4-Oct-2003 23:32:43, 80 ms (0%), 1652272 occupied, 23347658 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 326 4-Oct-2003 23:32:48, 120 ms (0%), 2162808 occupied, 22836610 free *** Garbage collection starting *** GC 327 4-Oct-2003 23:32:53, 100 ms (0%), 2019052 occupied, 22980511 free *** Garbage collection starting *** GC 328 4-Oct-2003 23:32:57, 100 ms (0%), 1849092 occupied, 23150672 free *** Garbage collection starting *** GC 329 4-Oct-2003 23:33:02, 120 ms (0%), 2243196 occupied, 22756075 free *** Garbage collection starting *** GC 330 4-Oct-2003 23:33:06, 110 ms (0%), 2109189 occupied, 22890255 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1002 we get the alternative equations : 0=p17 0=q35 New level : 1.1.1.1. CRACK is now called with the new equation e_782 : 0=p17 e_579,e_591 are consequences of e_782 Step 286: Hot list of urgent steps : e_634 is a consequence of e_1009. e_981 is a consequence of e_3. e_984 is a consequence of e_1038. e_625 is a consequence of e_983. Substitution of p17 found in e_782 : p17=0 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 : *** Garbage collection starting *** GC 331 4-Oct-2003 23:33:10, 80 ms (0%), 1694078 occupied, 23305850 free --- 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 : *** Garbage collection starting *** GC 332 4-Oct-2003 23:33:14, 90 ms (0%), 1699854 occupied, 23300075 free *** Garbage collection starting *** GC 333 4-Oct-2003 23:33:17, 90 ms (0%), 1700892 occupied, 23299037 free shortening by 1 term 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 : *** Garbage collection starting *** GC 334 4-Oct-2003 23:33:21, 90 ms (0%), 1694884 occupied, 23305045 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 335 4-Oct-2003 23:33:23, 90 ms (0%), 1696710 occupied, 23303219 free *** Garbage collection starting *** GC 336 4-Oct-2003 23:33:26, 90 ms (0%), 1697900 occupied, 23302029 free 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 : *** Garbage collection starting *** GC 337 4-Oct-2003 23:33:29, 90 ms (0%), 1696468 occupied, 23303462 free *** Garbage collection starting *** GC 338 4-Oct-2003 23:33:31, 80 ms (0%), 1696882 occupied, 23303048 free 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 : *** Garbage collection starting *** GC 339 4-Oct-2003 23:33:34, 80 ms (0%), 1695264 occupied, 23304665 free 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 : *** Garbage collection starting *** GC 340 4-Oct-2003 23:33:36, 90 ms (0%), 1696654 occupied, 23303275 free *** Garbage collection starting *** GC 341 4-Oct-2003 23:33:38, 90 ms (0%), 1697172 occupied, 23302757 free *** Garbage collection starting *** GC 342 4-Oct-2003 23:33:40, 90 ms (0%), 1697668 occupied, 23302261 free *** Garbage collection starting *** GC 343 4-Oct-2003 23:33:43, 90 ms (0%), 1698218 occupied, 23301709 free *** Garbage collection starting *** GC 344 4-Oct-2003 23:33:45, 90 ms (0%), 1698814 occupied, 23301113 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_56 and e_996. e_996: 0=(q36 + q39)*p13 is replaced by e_1294: 0=p13*q36 e_1294 is a consequence of e_1032. 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 : *** Garbage collection starting *** GC 345 4-Oct-2003 23:33:48, 90 ms (0%), 1695636 occupied, 23304292 free shortening by 4 terms Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 : *** Garbage collection starting *** GC 346 4-Oct-2003 23:33:51, 80 ms (0%), 1694594 occupied, 23305334 free shortening by 1 term Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 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 : shortening by 1 term Step 309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1312 is a consequence of e_1306. Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 e_1333 is a consequence of e_1329. 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 : shortening by 1 term Step 323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 347 4-Oct-2003 23:33:53, 90 ms (0%), 1694466 occupied, 23305462 free --- 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 e_1354 is a consequence of e_1316. 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 : *** Garbage collection starting *** GC 348 4-Oct-2003 23:33:57, 80 ms (0%), 1694772 occupied, 23305156 free 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 : *** Garbage collection starting *** GC 349 4-Oct-2003 23:33:59, 90 ms (0%), 1694542 occupied, 23305386 free *** Garbage collection starting *** GC 350 4-Oct-2003 23:34:01, 90 ms (0%), 1695516 occupied, 23304412 free *** Garbage collection starting *** GC 351 4-Oct-2003 23:34:03, 80 ms (0%), 1696016 occupied, 23303912 free 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 : *** Garbage collection starting *** GC 352 4-Oct-2003 23:34:05, 90 ms (0%), 1693602 occupied, 23306327 free *** Garbage collection starting *** GC 353 4-Oct-2003 23:34:07, 80 ms (0%), 1694540 occupied, 23305389 free *** Garbage collection starting *** GC 354 4-Oct-2003 23:34:09, 80 ms (0%), 1696230 occupied, 23303698 free *** Garbage collection starting *** GC 355 4-Oct-2003 23:34:11, 90 ms (0%), 1697366 occupied, 23302562 free *** Garbage collection starting *** GC 356 4-Oct-2003 23:34:13, 90 ms (0%), 1698122 occupied, 23301806 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q38 from e_1308 and e_1007. e_1007: 0=(q35 + q38)*p6 is replaced by e_1366: 0=p6*q35 e_1366 is a consequence of e_1304. 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 : *** Garbage collection starting *** GC 357 4-Oct-2003 23:34:16, 90 ms (0%), 1693700 occupied, 23306229 free *** Garbage collection starting *** GC 358 4-Oct-2003 23:34:18, 90 ms (0%), 1694082 occupied, 23305847 free *** Garbage collection starting *** GC 359 4-Oct-2003 23:34:20, 90 ms (0%), 1695104 occupied, 23304825 free *** Garbage collection starting *** GC 360 4-Oct-2003 23:34:22, 90 ms (0%), 1695462 occupied, 23304467 free *** Garbage collection starting *** GC 361 4-Oct-2003 23:34:24, 80 ms (0%), 1696350 occupied, 23303579 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 362 4-Oct-2003 23:34:28, 120 ms (0%), 2243724 occupied, 22755574 free *** Garbage collection starting *** GC 363 4-Oct-2003 23:34:33, 120 ms (0%), 2187444 occupied, 22811983 free *** Garbage collection starting *** GC 364 4-Oct-2003 23:34:38, 120 ms (0%), 2129426 occupied, 22870012 free *** Garbage collection starting *** GC 365 4-Oct-2003 23:34:42, 110 ms (0%), 2070105 occupied, 22929438 free *** Garbage collection starting *** GC 366 4-Oct-2003 23:34:47, 110 ms (0%), 2010634 occupied, 22988947 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1308 we get the alternative equations : 0=p6 0=q38 New level : 1.1.1.1.1. CRACK is now called with the new equation e_1417 : 0=p6 e_1027,e_1355,e_3,e_25,e_1009,e_1295,e_1304,e_1329 are consequences of e_1417 Step 332: Hot list of urgent steps : The list of inequalities got extended by: An expression with 7 terms Substitution of p6 found in e_1417 : p6=0 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 : *** Garbage collection starting *** GC 367 4-Oct-2003 23:34:51, 90 ms (0%), 1751649 occupied, 23248272 free --- Algebraic length reduction of equations : shortening by 1 term e_1384 is a consequence of e_1025. 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 : *** Garbage collection starting *** GC 368 4-Oct-2003 23:34:54, 90 ms (0%), 1754093 occupied, 23245829 free 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 : *** Garbage collection starting *** GC 369 4-Oct-2003 23:34:58, 90 ms (0%), 1751453 occupied, 23248466 free 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 : shortening by 1 term 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 1 term Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 370 4-Oct-2003 23:35:01, 90 ms (0%), 1751931 occupied, 23247990 free shortening by 1 term Step 345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 371 4-Oct-2003 23:35:04, 90 ms (0%), 1750149 occupied, 23249773 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 : *** Garbage collection starting *** GC 372 4-Oct-2003 23:35:07, 100 ms (0%), 1752681 occupied, 23247241 free *** Garbage collection starting *** GC 373 4-Oct-2003 23:35:10, 90 ms (0%), 1753635 occupied, 23246287 free shortening by 1 term Step 352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 374 4-Oct-2003 23:35:12, 90 ms (0%), 1750495 occupied, 23249427 free shortening by 1 term Step 356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 375 4-Oct-2003 23:35:15, 90 ms (0%), 1750741 occupied, 23249180 free shortening by 1 term Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 376 4-Oct-2003 23:35:18, 90 ms (0%), 1750541 occupied, 23249381 free shortening by 1 term Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 377 4-Oct-2003 23:35:20, 90 ms (0%), 1752129 occupied, 23247791 free *** Garbage collection starting *** GC 378 4-Oct-2003 23:35:23, 90 ms (0%), 1753121 occupied, 23246799 free *** Garbage collection starting *** GC 379 4-Oct-2003 23:35:25, 90 ms (0%), 1753485 occupied, 23246435 free 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 380 4-Oct-2003 23:35:28, 90 ms (0%), 1750439 occupied, 23249483 free *** Garbage collection starting *** GC 381 4-Oct-2003 23:35:30, 80 ms (0%), 1751893 occupied, 23248029 free *** Garbage collection starting *** GC 382 4-Oct-2003 23:35:32, 90 ms (0%), 1752981 occupied, 23246941 free shortening by 1 term Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 383 4-Oct-2003 23:35:34, 90 ms (0%), 1750581 occupied, 23249340 free 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 : shortening by 1 term Step 365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 384 4-Oct-2003 23:35:36, 90 ms (0%), 1750609 occupied, 23249312 free 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 : *** Garbage collection starting *** GC 385 4-Oct-2003 23:35:39, 100 ms (0%), 1751529 occupied, 23248393 free *** Garbage collection starting *** GC 386 4-Oct-2003 23:35:41, 100 ms (0%), 1752293 occupied, 23247629 free *** Garbage collection starting *** GC 387 4-Oct-2003 23:35:42, 90 ms (0%), 1753401 occupied, 23246520 free *** Garbage collection starting *** GC 388 4-Oct-2003 23:35:44, 100 ms (0%), 1754041 occupied, 23245880 free *** Garbage collection starting *** GC 389 4-Oct-2003 23:35:46, 90 ms (0%), 1754777 occupied, 23245143 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 23:35:52, 110 ms (0%), 1976846 occupied, 23022873 free *** Garbage collection starting *** GC 391 4-Oct-2003 23:35:57, 110 ms (0%), 2102818 occupied, 22896700 free *** Garbage collection starting *** GC 392 4-Oct-2003 23:36:02, 120 ms (0%), 2206790 occupied, 22792561 free *** Garbage collection starting *** GC 393 4-Oct-2003 23:36:07, 100 ms (0%), 1809330 occupied, 23190502 free Eliminate q45 from e_1038 and e_616. e_616: 0=(q39 + 7*q45 - 2*q48)*p19 is replaced by e_1452: 0=(q39 - 2*q48)*p19 Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 394 4-Oct-2003 23:36:11, 90 ms (0%), 1752397 occupied, 23247525 free shortening by 4 terms Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 395 4-Oct-2003 23:36:13, 90 ms (0%), 1750373 occupied, 23249548 free shortening by 4 terms 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 3 terms 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 : *** Garbage collection starting *** GC 396 4-Oct-2003 23:36:15, 90 ms (0%), 1750209 occupied, 23249713 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 397 4-Oct-2003 23:36:17, 90 ms (0%), 1750915 occupied, 23249006 free *** Garbage collection starting *** GC 398 4-Oct-2003 23:36:18, 90 ms (0%), 1752155 occupied, 23247766 free *** Garbage collection starting *** GC 399 4-Oct-2003 23:36:20, 90 ms (0%), 1752365 occupied, 23247556 free shortening by 5 terms 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 400 4-Oct-2003 23:36:22, 90 ms (0%), 1750315 occupied, 23249607 free *** Garbage collection starting *** GC 401 4-Oct-2003 23:36:24, 90 ms (0%), 1750831 occupied, 23249091 free *** Garbage collection starting *** GC 402 4-Oct-2003 23:36:25, 90 ms (0%), 1751267 occupied, 23248655 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 403 4-Oct-2003 23:36:27, 100 ms (0%), 1751065 occupied, 23248855 free shortening by 2 terms Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 404 4-Oct-2003 23:36:29, 90 ms (0%), 1750329 occupied, 23249593 free *** Garbage collection starting *** GC 405 4-Oct-2003 23:36:31, 90 ms (0%), 1752115 occupied, 23247806 free *** Garbage collection starting *** GC 406 4-Oct-2003 23:36:33, 90 ms (0%), 1753073 occupied, 23246848 free shortening by 2 terms Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 407 4-Oct-2003 23:36:34, 90 ms (0%), 1750325 occupied, 23249597 free 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 : *** Garbage collection starting *** GC 408 4-Oct-2003 23:36:36, 90 ms (0%), 1750255 occupied, 23249666 free *** Garbage collection starting *** GC 409 4-Oct-2003 23:36:38, 90 ms (0%), 1751179 occupied, 23248742 free shortening by 4 terms 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 4 terms 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 : *** Garbage collection starting *** GC 410 4-Oct-2003 23:36:39, 90 ms (0%), 1749701 occupied, 23250221 free 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 : shortening by 2 terms 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 411 4-Oct-2003 23:36:42, 90 ms (0%), 1749875 occupied, 23250047 free *** Garbage collection starting *** GC 412 4-Oct-2003 23:36:43, 90 ms (0%), 1750919 occupied, 23249002 free *** Garbage collection starting *** GC 413 4-Oct-2003 23:36:45, 100 ms (0%), 1751523 occupied, 23248398 free shortening by 1 term 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 414 4-Oct-2003 23:36:47, 90 ms (0%), 1750599 occupied, 23249323 free shortening by 4 terms Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 415 4-Oct-2003 23:36:48, 90 ms (0%), 1749539 occupied, 23250383 free shortening by 2 terms Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 416 4-Oct-2003 23:36:50, 100 ms (0%), 1749891 occupied, 23250031 free *** Garbage collection starting *** GC 417 4-Oct-2003 23:36:52, 90 ms (0%), 1750891 occupied, 23249030 free *** Garbage collection starting *** GC 418 4-Oct-2003 23:36:53, 90 ms (0%), 1751665 occupied, 23248255 free 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 : *** Garbage collection starting *** GC 419 4-Oct-2003 23:36:55, 90 ms (0%), 1749439 occupied, 23250484 free *** Garbage collection starting *** GC 420 4-Oct-2003 23:36:57, 90 ms (0%), 1751363 occupied, 23248559 free *** Garbage collection starting *** GC 421 4-Oct-2003 23:36:58, 90 ms (0%), 1752257 occupied, 23247665 free *** Garbage collection starting *** GC 422 4-Oct-2003 23:37:00, 90 ms (0%), 1752847 occupied, 23247074 free *** Garbage collection starting *** GC 423 4-Oct-2003 23:37:01, 100 ms (0%), 1753683 occupied, 23246236 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_1452 and e_1287. e_1287: 0=(q39 - 2*q48 - 4*q53)*p19 is replaced by e_1476: 0=p19*q53 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 : *** Garbage collection starting *** GC 424 4-Oct-2003 23:37:05, 90 ms (0%), 1750719 occupied, 23249203 free *** Garbage collection starting *** GC 425 4-Oct-2003 23:37:07, 100 ms (0%), 1751085 occupied, 23248837 free *** Garbage collection starting *** GC 426 4-Oct-2003 23:37:09, 90 ms (0%), 1752279 occupied, 23247643 free shortening by 7 terms 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 : *** Garbage collection starting *** GC 427 4-Oct-2003 23:37:10, 90 ms (0%), 1749887 occupied, 23250036 free shortening by 5 terms 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 : *** Garbage collection starting *** GC 428 4-Oct-2003 23:37:12, 90 ms (0%), 1749607 occupied, 23250315 free *** Garbage collection starting *** GC 429 4-Oct-2003 23:37:14, 90 ms (0%), 1749687 occupied, 23250235 free *** Garbage collection starting *** GC 430 4-Oct-2003 23:37:15, 90 ms (0%), 1749709 occupied, 23250213 free *** Garbage collection starting *** GC 431 4-Oct-2003 23:37:17, 100 ms (0%), 1749747 occupied, 23250175 free *** Garbage collection starting *** GC 432 4-Oct-2003 23:37:18, 100 ms (0%), 1749753 occupied, 23250169 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q53 from e_1476 and e_584. e_584: 0=(q48 + 2*q53)*p19 is replaced by e_1386: 0=p19*q48 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 : *** Garbage collection starting *** GC 433 4-Oct-2003 23:37:23, 90 ms (0%), 1752041 occupied, 23247882 free *** Garbage collection starting *** GC 434 4-Oct-2003 23:37:25, 90 ms (0%), 1752071 occupied, 23247852 free *** Garbage collection starting *** GC 435 4-Oct-2003 23:37:27, 100 ms (0%), 1752109 occupied, 23247814 free *** Garbage collection starting *** GC 436 4-Oct-2003 23:37:29, 100 ms (0%), 1752119 occupied, 23247804 free *** Garbage collection starting *** GC 437 4-Oct-2003 23:37:30, 90 ms (0%), 1752165 occupied, 23247758 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_1386 and e_1452. e_1452: 0=(q39 - 2*q48)*p19 is replaced by e_1296: 0=p19*q39 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 : *** Garbage collection starting *** GC 438 4-Oct-2003 23:37:35, 100 ms (0%), 1753289 occupied, 23246632 free *** Garbage collection starting *** GC 439 4-Oct-2003 23:37:38, 90 ms (0%), 1753497 occupied, 23246424 free *** Garbage collection starting *** GC 440 4-Oct-2003 23:37:39, 90 ms (0%), 1753503 occupied, 23246418 free *** Garbage collection starting *** GC 441 4-Oct-2003 23:37:41, 100 ms (0%), 1753521 occupied, 23246400 free *** Garbage collection starting *** GC 442 4-Oct-2003 23:37:42, 90 ms (0%), 1753541 occupied, 23246380 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 443 4-Oct-2003 23:37:48, 110 ms (0%), 2013968 occupied, 22985620 free *** Garbage collection starting *** GC 444 4-Oct-2003 23:37:53, 120 ms (0%), 2161678 occupied, 22837741 free *** Garbage collection starting *** GC 445 4-Oct-2003 23:37:58, 100 ms (0%), 1813773 occupied, 23186055 free *** Garbage collection starting *** GC 446 4-Oct-2003 23:38:03, 110 ms (0%), 2039882 occupied, 22959675 free *** Garbage collection starting *** GC 447 4-Oct-2003 23:38:09, 120 ms (0%), 2182154 occupied, 22817230 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_56 we get the alternative equations : 0=p13 0=q39 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_1419 : 0=p13 e_719,e_718,e_1032 are consequences of e_1419 Step 396: Hot list of urgent steps : e_1420 is a consequence of e_868. e_1426 is a consequence of e_1425. e_1428 is a consequence of e_996. e_1434 is a consequence of e_1430. Substitution of p13 found in e_1419 : p13=0 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 : *** Garbage collection starting *** GC 448 4-Oct-2003 23:38:12, 100 ms (0%), 1809958 occupied, 23189956 free --- Algebraic length reduction of equations : shortening by 1 term e_1578 is a consequence of e_996. 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 : shortening by 1 term Step 405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 449 4-Oct-2003 23:38:16, 90 ms (0%), 1805772 occupied, 23194142 free *** Garbage collection starting *** GC 450 4-Oct-2003 23:38:20, 100 ms (0%), 1809684 occupied, 23190230 free *** Garbage collection starting *** GC 451 4-Oct-2003 23:38:24, 90 ms (0%), 1810692 occupied, 23189222 free shortening by 2 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 : shortening by 1 term Step 423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 452 4-Oct-2003 23:38:28, 100 ms (0%), 1806448 occupied, 23193465 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 453 4-Oct-2003 23:38:31, 100 ms (0%), 1806892 occupied, 23193021 free *** Garbage collection starting *** GC 454 4-Oct-2003 23:38:34, 100 ms (0%), 1808866 occupied, 23191046 free *** Garbage collection starting *** GC 455 4-Oct-2003 23:38:37, 100 ms (0%), 1808920 occupied, 23190992 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 456 4-Oct-2003 23:38:40, 100 ms (0%), 1806712 occupied, 23193202 free *** Garbage collection starting *** GC 457 4-Oct-2003 23:38:43, 90 ms (0%), 1807774 occupied, 23192140 free shortening by 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 458 4-Oct-2003 23:38:45, 100 ms (0%), 1805170 occupied, 23194743 free 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 : *** Garbage collection starting *** GC 459 4-Oct-2003 23:38:48, 100 ms (0%), 1805856 occupied, 23194057 free *** Garbage collection starting *** GC 460 4-Oct-2003 23:38:50, 100 ms (0%), 1807148 occupied, 23192765 free *** Garbage collection starting *** GC 461 4-Oct-2003 23:38:52, 100 ms (0%), 1808090 occupied, 23191822 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 462 4-Oct-2003 23:38:55, 100 ms (0%), 1805232 occupied, 23194682 free 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 : *** Garbage collection starting *** GC 463 4-Oct-2003 23:38:57, 100 ms (0%), 1805760 occupied, 23194154 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 464 4-Oct-2003 23:38:59, 100 ms (0%), 1806180 occupied, 23193734 free *** Garbage collection starting *** GC 465 4-Oct-2003 23:39:01, 100 ms (0%), 1807092 occupied, 23192821 free *** Garbage collection starting *** GC 466 4-Oct-2003 23:39:03, 100 ms (0%), 1808372 occupied, 23191541 free *** Garbage collection starting *** GC 467 4-Oct-2003 23:39:05, 90 ms (0%), 1809018 occupied, 23190895 free *** Garbage collection starting *** GC 468 4-Oct-2003 23:39:07, 100 ms (0%), 1810426 occupied, 23189486 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_1425 and e_50. e_50: 0=(q36 - q39)*p21 is replaced by e_1588: 0=p21*q36 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 e_1594 is a consequence of e_1588. 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 : *** Garbage collection starting *** GC 469 4-Oct-2003 23:39:12, 100 ms (0%), 1807584 occupied, 23192330 free 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 : *** Garbage collection starting *** GC 470 4-Oct-2003 23:39:15, 100 ms (0%), 1805144 occupied, 23194770 free *** Garbage collection starting *** GC 471 4-Oct-2003 23:39:16, 100 ms (0%), 1806116 occupied, 23193798 free *** Garbage collection starting *** GC 472 4-Oct-2003 23:39:18, 100 ms (0%), 1807782 occupied, 23192130 free *** Garbage collection starting *** GC 473 4-Oct-2003 23:39:20, 100 ms (0%), 1809222 occupied, 23190690 free *** Garbage collection starting *** GC 474 4-Oct-2003 23:39:22, 100 ms (0%), 1809574 occupied, 23190338 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_1422 and e_1432. e_1432: 0=(q45 + q48)*p21 is replaced by e_1606: 0=p21*q48 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 : *** Garbage collection starting *** GC 475 4-Oct-2003 23:39:25, 100 ms (0%), 1805608 occupied, 23194306 free *** Garbage collection starting *** GC 476 4-Oct-2003 23:39:27, 90 ms (0%), 1807414 occupied, 23192500 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 477 4-Oct-2003 23:39:28, 100 ms (0%), 1804732 occupied, 23195181 free 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 : *** Garbage collection starting *** GC 478 4-Oct-2003 23:39:30, 100 ms (0%), 1806302 occupied, 23193612 free *** Garbage collection starting *** GC 479 4-Oct-2003 23:39:32, 100 ms (0%), 1806382 occupied, 23193532 free *** Garbage collection starting *** GC 480 4-Oct-2003 23:39:34, 100 ms (0%), 1806414 occupied, 23193500 free *** Garbage collection starting *** GC 481 4-Oct-2003 23:39:35, 100 ms (0%), 1806456 occupied, 23193458 free *** Garbage collection starting *** GC 482 4-Oct-2003 23:39:37, 100 ms (0%), 1806498 occupied, 23193416 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_1606 and e_1431. e_1431: 0=(2*q45 + q48)*p21 is replaced by e_1615: 0=p21*q45 e_1615 is a consequence of e_1422. 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 : *** Garbage collection starting *** GC 483 4-Oct-2003 23:39:40, 100 ms (0%), 1804558 occupied, 23195356 free *** Garbage collection starting *** GC 484 4-Oct-2003 23:39:41, 90 ms (0%), 1804638 occupied, 23195276 free *** Garbage collection starting *** GC 485 4-Oct-2003 23:39:43, 90 ms (0%), 1804664 occupied, 23195250 free *** Garbage collection starting *** GC 486 4-Oct-2003 23:39:44, 100 ms (0%), 1804716 occupied, 23195198 free *** Garbage collection starting *** GC 487 4-Oct-2003 23:39:46, 100 ms (0%), 1804752 occupied, 23195162 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 488 4-Oct-2003 23:39:52, 120 ms (0%), 2169635 occupied, 22829810 free *** Garbage collection starting *** GC 489 4-Oct-2003 23:39:57, 110 ms (0%), 2036263 occupied, 22963431 free *** Garbage collection starting *** GC 490 4-Oct-2003 23:40:03, 100 ms (0%), 1824901 occupied, 23174947 free *** Garbage collection starting *** GC 491 4-Oct-2003 23:40:08, 120 ms (0%), 2175962 occupied, 22823504 free *** Garbage collection starting *** GC 492 4-Oct-2003 23:40:14, 110 ms (0%), 2044231 occupied, 22955383 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1296 we get the alternative equations : 0=p19 0=q39 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_1680 : 0=p19 e_1451,e_1595,e_574,e_1038,e_983,e_1476,e_1386,e_1587,e_1590,e_1599,e_737,e_1603 are consequences of e_1680 Step 457: Hot list of urgent steps : The list of inequalities got extended by: An expression with 29 terms e_1028 is a consequence of e_1417. e_305 is a consequence of e_1388. Substitution of p19 found in e_1680 : p19=0 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 : *** Garbage collection starting *** GC 493 4-Oct-2003 23:40:18, 110 ms (0%), 1856018 occupied, 23143891 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 494 4-Oct-2003 23:40:22, 110 ms (0%), 1857728 occupied, 23142182 free 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 : *** Garbage collection starting *** GC 495 4-Oct-2003 23:40:25, 100 ms (0%), 1854030 occupied, 23145880 free *** Garbage collection starting *** GC 496 4-Oct-2003 23:40:28, 100 ms (0%), 1855574 occupied, 23144335 free 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 : *** Garbage collection starting *** GC 497 4-Oct-2003 23:40:31, 110 ms (0%), 1854052 occupied, 23145853 free *** Garbage collection starting *** GC 498 4-Oct-2003 23:40:33, 100 ms (0%), 1855264 occupied, 23144641 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 499 4-Oct-2003 23:40:35, 100 ms (0%), 1852612 occupied, 23147297 free *** Garbage collection starting *** GC 500 4-Oct-2003 23:40:37, 100 ms (0%), 1854492 occupied, 23145417 free *** Garbage collection starting *** GC 501 4-Oct-2003 23:40:38, 110 ms (0%), 1855326 occupied, 23144582 free *** Garbage collection starting *** GC 502 4-Oct-2003 23:40:40, 100 ms (0%), 1856466 occupied, 23143442 free *** Garbage collection starting *** GC 503 4-Oct-2003 23:40:42, 100 ms (0%), 1857608 occupied, 23142300 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_584 and e_640. e_640: 0=(q55 - q57)*p21 is replaced by e_1649: 0=p21*q57 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 : *** Garbage collection starting *** GC 504 4-Oct-2003 23:40:45, 100 ms (0%), 1854868 occupied, 23145041 free *** Garbage collection starting *** GC 505 4-Oct-2003 23:40:47, 100 ms (0%), 1855924 occupied, 23143983 free *** Garbage collection starting *** GC 506 4-Oct-2003 23:40:48, 100 ms (0%), 1855962 occupied, 23143945 free *** Garbage collection starting *** GC 507 4-Oct-2003 23:40:50, 100 ms (0%), 1855998 occupied, 23143909 free *** Garbage collection starting *** GC 508 4-Oct-2003 23:40:51, 110 ms (0%), 1856056 occupied, 23143851 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 509 4-Oct-2003 23:40:57, 100 ms (0%), 1906248 occupied, 23093577 free *** Garbage collection starting *** GC 510 4-Oct-2003 23:41:03, 100 ms (0%), 1945292 occupied, 23054517 free *** Garbage collection starting *** GC 511 4-Oct-2003 23:41:09, 110 ms (0%), 1975286 occupied, 23024500 free *** Garbage collection starting *** GC 512 4-Oct-2003 23:41:15, 120 ms (0%), 1998851 occupied, 23000925 free *** Garbage collection starting *** GC 513 4-Oct-2003 23:41:21, 120 ms (0%), 2018836 occupied, 22980922 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1310 we get the alternative equations : 0=p14 0=q1 New level : 1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1661 : 0=p14 e_1418 is a consequence of e_1661 Step 464: Hot list of urgent steps : The list of inequalities got extended by: g0044*p20 + g0046*p16 Substitution of p14 found in e_1661 : p14=0 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 : *** Garbage collection starting *** GC 514 4-Oct-2003 23:41:25, 110 ms (0%), 1908004 occupied, 23091901 free --- 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 : 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 : *** Garbage collection starting *** GC 515 4-Oct-2003 23:41:29, 120 ms (0%), 1910640 occupied, 23089266 free 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 : shortening by 1 term Step 491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : 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 1 term Step 502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 516 4-Oct-2003 23:41:33, 100 ms (0%), 1908474 occupied, 23091433 free 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 : *** Garbage collection starting *** GC 517 4-Oct-2003 23:41:37, 110 ms (0%), 1911414 occupied, 23088493 free *** Garbage collection starting *** GC 518 4-Oct-2003 23:41:41, 110 ms (0%), 1912850 occupied, 23087057 free *** Garbage collection starting *** GC 519 4-Oct-2003 23:41:45, 110 ms (0%), 1913192 occupied, 23086715 free *** Garbage collection starting *** GC 520 4-Oct-2003 23:41:48, 100 ms (0%), 1913506 occupied, 23086401 free *** Garbage collection starting *** GC 521 4-Oct-2003 23:41:52, 110 ms (0%), 1913870 occupied, 23086037 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1878 and e_1664. e_1664: 0=(q25 - q52)*p16 is replaced by e_1839: 0=p16*q52 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 2 terms 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 : *** Garbage collection starting *** GC 522 4-Oct-2003 23:41:56, 100 ms (0%), 1908832 occupied, 23091073 free *** Garbage collection starting *** GC 523 4-Oct-2003 23:41:58, 110 ms (0%), 1910792 occupied, 23089112 free *** Garbage collection starting *** GC 524 4-Oct-2003 23:42:01, 100 ms (0%), 1911174 occupied, 23088730 free 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 : *** Garbage collection starting *** GC 525 4-Oct-2003 23:42:04, 110 ms (0%), 1910064 occupied, 23089841 free shortening by 1 term Step 521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 526 4-Oct-2003 23:42:06, 110 ms (0%), 1908820 occupied, 23091085 free shortening by 1 term Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 527 4-Oct-2003 23:42:09, 110 ms (0%), 1909150 occupied, 23090754 free shortening by 2 terms 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 4 terms 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 : *** Garbage collection starting *** GC 528 4-Oct-2003 23:42:11, 110 ms (0%), 1908682 occupied, 23091223 free 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 : *** Garbage collection starting *** GC 529 4-Oct-2003 23:42:14, 110 ms (0%), 1909178 occupied, 23090726 free *** Garbage collection starting *** GC 530 4-Oct-2003 23:42:16, 100 ms (0%), 1910262 occupied, 23089642 free *** Garbage collection starting *** GC 531 4-Oct-2003 23:42:18, 110 ms (0%), 1910480 occupied, 23089424 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 532 4-Oct-2003 23:42:20, 110 ms (0%), 1908734 occupied, 23091171 free *** Garbage collection starting *** GC 533 4-Oct-2003 23:42:22, 110 ms (0%), 1909894 occupied, 23090011 free *** Garbage collection starting *** GC 534 4-Oct-2003 23:42:24, 100 ms (0%), 1910566 occupied, 23089339 free *** Garbage collection starting *** GC 535 4-Oct-2003 23:42:25, 110 ms (0%), 1910628 occupied, 23089277 free *** Garbage collection starting *** GC 536 4-Oct-2003 23:42:27, 110 ms (0%), 1910664 occupied, 23089241 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 537 4-Oct-2003 23:42:34, 120 ms (0%), 2198103 occupied, 22801421 free *** Garbage collection starting *** GC 538 4-Oct-2003 23:42:40, 110 ms (0%), 2033613 occupied, 22966149 free *** Garbage collection starting *** GC 539 4-Oct-2003 23:42:47, 130 ms (0%), 2250524 occupied, 22748952 free *** Garbage collection starting *** GC 540 4-Oct-2003 23:42:53, 120 ms (0%), 2106350 occupied, 22893348 free *** Garbage collection starting *** GC 541 4-Oct-2003 23:43:00, 140 ms (0%), 2290989 occupied, 22708427 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1665 we get the alternative equations : 0=p3 0=q46 New level : 1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_380 : 0=p3 e_1596,e_1662,e_1666,e_1667 are consequences of e_380 Step 529: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms e_1907 is a consequence of e_1670. Substitution of p3 found in e_380 : p3=0 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 : *** Garbage collection starting *** GC 542 4-Oct-2003 23:43:04, 120 ms (0%), 1957683 occupied, 23042216 free --- Algebraic length reduction of equations : shortening by 1 term Step 531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 543 4-Oct-2003 23:43:08, 110 ms (0%), 1957073 occupied, 23042827 free --- 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 : *** Garbage collection starting *** GC 544 4-Oct-2003 23:43:12, 120 ms (0%), 1960041 occupied, 23039859 free *** Garbage collection starting *** GC 545 4-Oct-2003 23:43:17, 120 ms (0%), 1961259 occupied, 23038641 free *** Garbage collection starting *** GC 546 4-Oct-2003 23:43:21, 120 ms (0%), 1962373 occupied, 23037527 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 547 4-Oct-2003 23:43:25, 170 ms (0%), 1961745 occupied, 23038154 free --- 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 548 4-Oct-2003 23:43:28, 130 ms (0%), 1956633 occupied, 23043268 free *** Garbage collection starting *** GC 549 4-Oct-2003 23:43:32, 120 ms (0%), 1957953 occupied, 23041948 free shortening by 1 term Step 582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 550 4-Oct-2003 23:43:35, 120 ms (0%), 1956267 occupied, 23043633 free shortening by 2 terms Step 584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 551 4-Oct-2003 23:43:39, 130 ms (0%), 1955977 occupied, 23043923 free 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 : *** Garbage collection starting *** GC 552 4-Oct-2003 23:43:42, 120 ms (0%), 1956369 occupied, 23043529 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 553 4-Oct-2003 23:43:45, 120 ms (0%), 1956609 occupied, 23043291 free *** Garbage collection starting *** GC 554 4-Oct-2003 23:43:48, 120 ms (0%), 1958269 occupied, 23041630 free *** Garbage collection starting *** GC 555 4-Oct-2003 23:43:51, 120 ms (0%), 1958849 occupied, 23041050 free *** Garbage collection starting *** GC 556 4-Oct-2003 23:43:53, 130 ms (0%), 1958995 occupied, 23040904 free 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 : *** Garbage collection starting *** GC 557 4-Oct-2003 23:43:56, 110 ms (0%), 1955307 occupied, 23044593 free 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 3 terms 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 : *** Garbage collection starting *** GC 558 4-Oct-2003 23:43:59, 120 ms (0%), 1955773 occupied, 23044125 free 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 2 terms 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 1 term 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 : *** Garbage collection starting *** GC 559 4-Oct-2003 23:44:02, 120 ms (0%), 1955451 occupied, 23044449 free shortening by 1 term Step 599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 : *** Garbage collection starting *** GC 560 4-Oct-2003 23:44:06, 120 ms (0%), 1955769 occupied, 23044132 free *** Garbage collection starting *** GC 561 4-Oct-2003 23:44:08, 120 ms (0%), 1956769 occupied, 23043131 free *** Garbage collection starting *** GC 562 4-Oct-2003 23:44:11, 120 ms (0%), 1957437 occupied, 23042463 free *** Garbage collection starting *** GC 563 4-Oct-2003 23:44:13, 120 ms (0%), 1957973 occupied, 23041927 free 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 : *** Garbage collection starting *** GC 564 4-Oct-2003 23:44:16, 110 ms (0%), 1955869 occupied, 23044032 free *** Garbage collection starting *** GC 565 4-Oct-2003 23:44:18, 120 ms (0%), 1957305 occupied, 23042596 free shortening by 3 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 : *** Garbage collection starting *** GC 566 4-Oct-2003 23:44:21, 120 ms (0%), 1955889 occupied, 23044012 free *** Garbage collection starting *** GC 567 4-Oct-2003 23:44:23, 120 ms (0%), 1957213 occupied, 23042686 free *** Garbage collection starting *** GC 568 4-Oct-2003 23:44:25, 120 ms (0%), 1959121 occupied, 23040777 free 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 : 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 : shortening by 2 terms 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 569 4-Oct-2003 23:44:28, 120 ms (0%), 1955123 occupied, 23044776 free *** Garbage collection starting *** GC 570 4-Oct-2003 23:44:30, 120 ms (0%), 1955327 occupied, 23044572 free *** Garbage collection starting *** GC 571 4-Oct-2003 23:44:32, 130 ms (0%), 1956991 occupied, 23042906 free *** Garbage collection starting *** GC 572 4-Oct-2003 23:44:34, 120 ms (0%), 1958399 occupied, 23041498 free *** Garbage collection starting *** GC 573 4-Oct-2003 23:44:36, 120 ms (0%), 1959747 occupied, 23040146 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 574 4-Oct-2003 23:44:44, 120 ms (0%), 2086537 occupied, 22913224 free *** Garbage collection starting *** GC 575 4-Oct-2003 23:44:51, 130 ms (0%), 2170914 occupied, 22828754 free *** Garbage collection starting *** GC 576 4-Oct-2003 23:44:58, 170 ms (0%), 2230870 occupied, 22768640 free *** Garbage collection starting *** GC 577 4-Oct-2003 23:45:05, 180 ms (0%), 2279650 occupied, 22719810 free *** Garbage collection starting *** GC 578 4-Oct-2003 23:45:13, 150 ms (0%), 1957695 occupied, 23042171 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2099 we get the alternative equations : 0=p12 0=q38 New level : 1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_1731 : 0=p12 e_1940,e_2005 are consequences of e_1731 Step 610: Hot list of urgent steps : e_1451 is a consequence of e_1858. Substitution of p12 found in e_1731 : p12=0 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 : *** Garbage collection starting *** GC 579 4-Oct-2003 23:45:17, 120 ms (0%), 2008826 occupied, 22991064 free --- Algebraic length reduction of equations : shortening by 1 term Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 580 4-Oct-2003 23:45:21, 110 ms (0%), 2009184 occupied, 22990706 free 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 1 term Step 639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 581 4-Oct-2003 23:45:25, 110 ms (0%), 2008406 occupied, 22991484 free 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 : *** Garbage collection starting *** GC 582 4-Oct-2003 23:45:30, 110 ms (0%), 2009478 occupied, 22990414 free *** Garbage collection starting *** GC 583 4-Oct-2003 23:45:35, 120 ms (0%), 2012632 occupied, 22987260 free *** Garbage collection starting *** GC 584 4-Oct-2003 23:45:40, 110 ms (0%), 2013656 occupied, 22986236 free *** Garbage collection starting *** GC 585 4-Oct-2003 23:45:44, 100 ms (0%), 2014238 occupied, 22985654 free *** Garbage collection starting *** GC 586 4-Oct-2003 23:45:49, 120 ms (0%), 2014522 occupied, 22985370 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_1755 and e_2165. e_2165: 0=(q11 - q13)*p2 is replaced by e_1193: 0=p2*q13 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 : *** Garbage collection starting *** GC 587 4-Oct-2003 23:45:56, 120 ms (0%), 2011138 occupied, 22988753 free *** Garbage collection starting *** GC 588 4-Oct-2003 23:46:01, 120 ms (0%), 2013146 occupied, 22986745 free *** Garbage collection starting *** GC 589 4-Oct-2003 23:46:05, 120 ms (0%), 2014758 occupied, 22985133 free 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 : *** Garbage collection starting *** GC 590 4-Oct-2003 23:46:10, 120 ms (0%), 2009852 occupied, 22990039 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 591 4-Oct-2003 23:46:14, 120 ms (0%), 2009122 occupied, 22990769 free 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 : *** Garbage collection starting *** GC 592 4-Oct-2003 23:46:18, 120 ms (0%), 2010166 occupied, 22989724 free 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 : *** Garbage collection starting *** GC 593 4-Oct-2003 23:46:21, 120 ms (0%), 2009416 occupied, 22990474 free shortening by 1 term e_2190 is a consequence of e_1905. 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 : *** Garbage collection starting *** GC 594 4-Oct-2003 23:46:25, 120 ms (0%), 2009404 occupied, 22990487 free 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 : *** Garbage collection starting *** GC 595 4-Oct-2003 23:46:28, 120 ms (0%), 2008450 occupied, 22991441 free shortening by 1 term e_2053 is a consequence of e_1722. 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 : *** Garbage collection starting *** GC 596 4-Oct-2003 23:46:32, 110 ms (0%), 2009274 occupied, 22990616 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 597 4-Oct-2003 23:46:35, 110 ms (0%), 2009160 occupied, 22990731 free *** Garbage collection starting *** GC 598 4-Oct-2003 23:46:38, 120 ms (0%), 2010808 occupied, 22989083 free 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 2 terms 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 : *** Garbage collection starting *** GC 599 4-Oct-2003 23:46:41, 120 ms (0%), 2008860 occupied, 22991030 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 600 4-Oct-2003 23:46:44, 110 ms (0%), 2008704 occupied, 22991187 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 601 4-Oct-2003 23:46:47, 120 ms (0%), 2009278 occupied, 22990613 free 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 : *** Garbage collection starting *** GC 602 4-Oct-2003 23:46:50, 120 ms (0%), 2009646 occupied, 22990244 free 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 : *** Garbage collection starting *** GC 603 4-Oct-2003 23:46:53, 120 ms (0%), 2009100 occupied, 22990789 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 604 4-Oct-2003 23:46:56, 120 ms (0%), 2008916 occupied, 22990975 free *** Garbage collection starting *** GC 605 4-Oct-2003 23:46:59, 110 ms (0%), 2009930 occupied, 22989961 free *** Garbage collection starting *** GC 606 4-Oct-2003 23:47:02, 120 ms (0%), 2010282 occupied, 22989609 free 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 : *** Garbage collection starting *** GC 607 4-Oct-2003 23:47:04, 120 ms (0%), 2009202 occupied, 22990689 free shortening by 1 term Step 711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 608 4-Oct-2003 23:47:07, 110 ms (0%), 2008244 occupied, 22991647 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 609 4-Oct-2003 23:47:11, 120 ms (0%), 2008554 occupied, 22991337 free *** Garbage collection starting *** GC 610 4-Oct-2003 23:47:13, 120 ms (0%), 2010008 occupied, 22989883 free *** Garbage collection starting *** GC 611 4-Oct-2003 23:47:16, 120 ms (0%), 2011284 occupied, 22988607 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 612 4-Oct-2003 23:47:19, 120 ms (0%), 2008792 occupied, 22991098 free *** Garbage collection starting *** GC 613 4-Oct-2003 23:47:21, 120 ms (0%), 2010726 occupied, 22989162 free *** Garbage collection starting *** GC 614 4-Oct-2003 23:47:23, 120 ms (0%), 2012304 occupied, 22987583 free *** Garbage collection starting *** GC 615 4-Oct-2003 23:47:25, 120 ms (0%), 2012622 occupied, 22987265 free *** Garbage collection starting *** GC 616 4-Oct-2003 23:47:27, 130 ms (0%), 2012684 occupied, 22987203 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 617 4-Oct-2003 23:47:36, 110 ms (0%), 2106151 occupied, 22893589 free *** Garbage collection starting *** GC 618 4-Oct-2003 23:47:44, 130 ms (0%), 2173054 occupied, 22826672 free *** Garbage collection starting *** GC 619 4-Oct-2003 23:47:52, 130 ms (0%), 2222124 occupied, 22777569 free *** Garbage collection starting *** GC 620 4-Oct-2003 23:48:00, 130 ms (0%), 2261956 occupied, 22737650 free *** Garbage collection starting *** GC 621 4-Oct-2003 23:48:09, 130 ms (0%), 2294925 occupied, 22704583 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1730 we get the alternative equations : 0=p2 0=q46 New level : 1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2287 : 0=p2 e_1761,e_2172,e_80,e_984,e_1670,e_1920,e_1326,e_1755,e_1687,e_1948,e_1626,e_1437 ,e_1881,e_1193 are consequences of e_2287 Step 715: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms e_2020 is a consequence of e_1671. e_2180 is a consequence of e_2012. e_2062 is a consequence of e_2146. Substitution of p2 found in e_2287 : p2=0 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 : *** Garbage collection starting *** GC 622 4-Oct-2003 23:48:12, 120 ms (0%), 2049108 occupied, 22950775 free --- 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 : shortening by 1 term 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 1 term Step 727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2351 is a consequence of e_2336. 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 1 term 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 : 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 1 term Step 738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 623 4-Oct-2003 23:48:16, 180 ms (0%), 2045402 occupied, 22954483 free 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 1 term Step 744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 e_2179 is a consequence of e_2306. Step 776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 1 term Step 786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 624 4-Oct-2003 23:48:21, 120 ms (0%), 2043598 occupied, 22956286 free shortening by 1 term Step 810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 e_2010 is a consequence of e_1454. Step 819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 625 4-Oct-2003 23:48:26, 180 ms (0%), 2042960 occupied, 22956924 free *** Garbage collection starting *** GC 626 4-Oct-2003 23:48:31, 180 ms (0%), 2045426 occupied, 22954458 free *** Garbage collection starting *** GC 627 4-Oct-2003 23:48:36, 180 ms (0%), 2046500 occupied, 22953384 free *** Garbage collection starting *** GC 628 4-Oct-2003 23:48:41, 170 ms (0%), 2047214 occupied, 22952670 free *** Garbage collection starting *** GC 629 4-Oct-2003 23:48:46, 180 ms (0%), 2047842 occupied, 22952042 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_2192 and e_2109. e_2109: 0=(q25 - q52)*p5 is replaced by e_1932: 0=p5*q25 Step 842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 630 4-Oct-2003 23:48:51, 160 ms (0%), 2044114 occupied, 22955771 free shortening by 2 terms Step 843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 631 4-Oct-2003 23:48:55, 180 ms (0%), 2042472 occupied, 22957415 free shortening by 2 terms Step 847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1968 is a consequence of e_2252. Step 860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 632 4-Oct-2003 23:49:00, 170 ms (0%), 2041696 occupied, 22958193 free shortening by 2 terms Step 877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 633 4-Oct-2003 23:49:05, 170 ms (0%), 2040470 occupied, 22959418 free shortening by 2 terms Step 887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1811 is a consequence of e_2336. Step 889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 634 4-Oct-2003 23:49:09, 170 ms (0%), 2040286 occupied, 22959604 free shortening by 2 terms Step 895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 635 4-Oct-2003 23:49:14, 120 ms (0%), 2040990 occupied, 22958899 free --- Algebraic length reduction of equations : shortening by 1 term Step 906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1972 is a consequence of e_1444. Step 912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 636 4-Oct-2003 23:49:18, 170 ms (0%), 2039348 occupied, 22960542 free shortening by 1 term Step 913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 637 4-Oct-2003 23:49:23, 180 ms (0%), 2039664 occupied, 22960226 free shortening by 2 terms Step 915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 638 4-Oct-2003 23:49:27, 170 ms (0%), 2040854 occupied, 22959035 free shortening by 1 term Step 916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 639 4-Oct-2003 23:49:32, 160 ms (0%), 2041104 occupied, 22958783 free shortening by 2 terms Step 917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 640 4-Oct-2003 23:49:36, 170 ms (0%), 2039128 occupied, 22960762 free shortening by 3 terms Step 920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 641 4-Oct-2003 23:49:40, 170 ms (0%), 2039532 occupied, 22960358 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 642 4-Oct-2003 23:49:44, 170 ms (0%), 2040154 occupied, 22959736 free *** Garbage collection starting *** GC 643 4-Oct-2003 23:49:47, 180 ms (0%), 2041090 occupied, 22958800 free shortening by 1 term Step 925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 644 4-Oct-2003 23:49:51, 160 ms (0%), 2040114 occupied, 22959776 free shortening by 1 term Step 926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 645 4-Oct-2003 23:49:55, 160 ms (0%), 2039668 occupied, 22960222 free shortening by 1 term Step 929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 646 4-Oct-2003 23:49:59, 150 ms (0%), 2039636 occupied, 22960254 free shortening by 1 term Step 930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 647 4-Oct-2003 23:50:02, 160 ms (0%), 2038842 occupied, 22961048 free *** Garbage collection starting *** GC 648 4-Oct-2003 23:50:07, 170 ms (0%), 2039802 occupied, 22960088 free *** Garbage collection starting *** GC 649 4-Oct-2003 23:50:10, 190 ms (0%), 2040798 occupied, 22959091 free shortening by 4 terms Step 934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 650 4-Oct-2003 23:50:15, 170 ms (0%), 2038940 occupied, 22960947 free shortening by 3 terms Step 940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 651 4-Oct-2003 23:50:19, 160 ms (0%), 2038756 occupied, 22961134 free shortening by 2 terms Step 943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 e_2120 is a consequence of e_2168. 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 2 terms 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 1 term Step 950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2353 is a consequence of e_2168. 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 2 terms 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 : *** Garbage collection starting *** GC 652 4-Oct-2003 23:50:23, 160 ms (0%), 2037544 occupied, 22962345 free shortening by 2 terms 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 2 terms e_1406 is a consequence of e_2154. 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 2 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 e_2232 is a consequence of e_2335. 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 2 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 2 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 1 term Step 964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 Step 966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 653 4-Oct-2003 23:50:28, 160 ms (0%), 2036340 occupied, 22963550 free *** Garbage collection starting *** GC 654 4-Oct-2003 23:50:31, 180 ms (0%), 2037938 occupied, 22961949 free shortening by 2 terms 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 3 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 : *** Garbage collection starting *** GC 655 4-Oct-2003 23:50:34, 170 ms (0%), 2037258 occupied, 22962631 free *** Garbage collection starting *** GC 656 4-Oct-2003 23:50:38, 180 ms (0%), 2038034 occupied, 22961855 free shortening by 1 term Step 969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 657 4-Oct-2003 23:50:41, 170 ms (0%), 2036746 occupied, 22963142 free 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 1 term Step 972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 658 4-Oct-2003 23:50:45, 160 ms (0%), 2037136 occupied, 22962754 free shortening by 1 term Step 973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 659 4-Oct-2003 23:50:48, 150 ms (0%), 2036214 occupied, 22963675 free *** Garbage collection starting *** GC 660 4-Oct-2003 23:50:51, 180 ms (0%), 2039074 occupied, 22960815 free *** Garbage collection starting *** GC 661 4-Oct-2003 23:50:54, 130 ms (0%), 2040340 occupied, 22959549 free *** Garbage collection starting *** GC 662 4-Oct-2003 23:50:57, 130 ms (0%), 2040466 occupied, 22959423 free *** Garbage collection starting *** GC 663 4-Oct-2003 23:51:00, 170 ms (0%), 2040592 occupied, 22959297 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 664 4-Oct-2003 23:51:10, 120 ms (0%), 2166511 occupied, 22833221 free Eliminate q25 from e_25 and e_1026. e_1026: 0=(8*q25 + q52)*p9 is replaced by e_1755: 0=p9*q52 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 : *** Garbage collection starting *** GC 665 4-Oct-2003 23:51:18, 160 ms (0%), 2036602 occupied, 22963288 free *** Garbage collection starting *** GC 666 4-Oct-2003 23:51:20, 180 ms (0%), 2036742 occupied, 22963148 free *** Garbage collection starting *** GC 667 4-Oct-2003 23:51:23, 170 ms (0%), 2036872 occupied, 22963018 free *** Garbage collection starting *** GC 668 4-Oct-2003 23:51:26, 170 ms (0%), 2037016 occupied, 22962874 free *** Garbage collection starting *** GC 669 4-Oct-2003 23:51:29, 170 ms (0%), 2037078 occupied, 22962812 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1897 and e_1069. e_1069: 0=(8*q25 + q52)*p4 is replaced by e_2114: 0=p4*q52 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 : *** Garbage collection starting *** GC 670 4-Oct-2003 23:51:33, 180 ms (0%), 2036700 occupied, 22963190 free *** Garbage collection starting *** GC 671 4-Oct-2003 23:51:36, 120 ms (0%), 2036850 occupied, 22963040 free *** Garbage collection starting *** GC 672 4-Oct-2003 23:51:39, 180 ms (0%), 2036982 occupied, 22962908 free *** Garbage collection starting *** GC 673 4-Oct-2003 23:51:42, 160 ms (0%), 2037124 occupied, 22962766 free *** Garbage collection starting *** GC 674 4-Oct-2003 23:51:44, 170 ms (0%), 2037206 occupied, 22962684 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_2012 and e_1447. e_1447: 0=(q16 + q19)*p4 is replaced by e_2363: 0=p4*q19 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 : *** Garbage collection starting *** GC 675 4-Oct-2003 23:51:48, 170 ms (0%), 2038404 occupied, 22961486 free *** Garbage collection starting *** GC 676 4-Oct-2003 23:51:51, 170 ms (0%), 2038524 occupied, 22961366 free *** Garbage collection starting *** GC 677 4-Oct-2003 23:51:53, 130 ms (0%), 2038650 occupied, 22961240 free *** Garbage collection starting *** GC 678 4-Oct-2003 23:51:56, 120 ms (0%), 2038756 occupied, 22961134 free *** Garbage collection starting *** GC 679 4-Oct-2003 23:51:59, 150 ms (0%), 2038770 occupied, 22961119 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 680 4-Oct-2003 23:52:09, 130 ms (0%), 2171887 occupied, 22827849 free *** Garbage collection starting *** GC 681 4-Oct-2003 23:52:19, 130 ms (0%), 2244404 occupied, 22755251 free *** Garbage collection starting *** GC 682 4-Oct-2003 23:52:30, 130 ms (0%), 2132743 occupied, 22867027 free *** Garbage collection starting *** GC 683 4-Oct-2003 23:52:40, 130 ms (0%), 2222828 occupied, 22776842 free *** Garbage collection starting *** GC 684 4-Oct-2003 23:52:51, 120 ms (0%), 2099077 occupied, 22900687 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1388 we get the alternative equations : 0=p15 0=q39 New level : 1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2413 : 0=p15 e_1383,e_868,e_1430,e_1585,e_1614,e_1627,e_1632,e_1592,e_1608,e_1417,e_1855, e_1742,e_858,e_1830 are consequences of e_2413 Step 978: Hot list of urgent steps : e_2227 is a consequence of e_2252. e_1891 is a consequence of e_2252. e_2121 is a consequence of e_1932. e_2327 is a consequence of e_2165. e_1963 is a consequence of e_735. Substitution of p15 found in e_2413 : p15=0 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 : *** Garbage collection starting *** GC 685 4-Oct-2003 23:52:54, 120 ms (0%), 2063348 occupied, 22936530 free --- Algebraic length reduction of equations : shortening by 1 term Step 980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term Step 983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 686 4-Oct-2003 23:52:59, 120 ms (0%), 2066556 occupied, 22933324 free *** Garbage collection starting *** GC 687 4-Oct-2003 23:53:04, 120 ms (0%), 2067376 occupied, 22932504 free shortening by 1 term Step 988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term Step 992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 688 4-Oct-2003 23:53:09, 120 ms (0%), 2064658 occupied, 22935222 free --- Algebraic length reduction of equations : shortening by 1 term 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 1 term Step 1000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 689 4-Oct-2003 23:53:14, 120 ms (0%), 2063742 occupied, 22936137 free shortening by 1 term Step 1005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 690 4-Oct-2003 23:53:18, 120 ms (0%), 2065684 occupied, 22934194 free shortening by 1 term Step 1006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 691 4-Oct-2003 23:53:22, 120 ms (0%), 2064082 occupied, 22935797 free *** Garbage collection starting *** GC 692 4-Oct-2003 23:53:25, 120 ms (0%), 2065310 occupied, 22934569 free 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 693 4-Oct-2003 23:53:30, 120 ms (0%), 2063922 occupied, 22935958 free *** Garbage collection starting *** GC 694 4-Oct-2003 23:53:33, 120 ms (0%), 2066080 occupied, 22933797 free 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 : *** Garbage collection starting *** GC 695 4-Oct-2003 23:53:36, 120 ms (0%), 2063824 occupied, 22936057 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 696 4-Oct-2003 23:53:39, 120 ms (0%), 2063694 occupied, 22936186 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 697 4-Oct-2003 23:53:42, 120 ms (0%), 2063788 occupied, 22936092 free *** Garbage collection starting *** GC 698 4-Oct-2003 23:53:45, 120 ms (0%), 2064766 occupied, 22935114 free *** Garbage collection starting *** GC 699 4-Oct-2003 23:53:48, 120 ms (0%), 2064942 occupied, 22934938 free *** Garbage collection starting *** GC 700 4-Oct-2003 23:53:51, 120 ms (0%), 2065090 occupied, 22934790 free *** Garbage collection starting *** GC 701 4-Oct-2003 23:53:53, 120 ms (0%), 2065234 occupied, 22934646 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q42 from e_2256 and e_1289. e_1289: 0=(2*q42 - q44)*p21 is replaced by e_2275: 0=p21*q44 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 : *** Garbage collection starting *** GC 702 4-Oct-2003 23:53:57, 120 ms (0%), 2064296 occupied, 22935586 free *** Garbage collection starting *** GC 703 4-Oct-2003 23:54:00, 120 ms (0%), 2064424 occupied, 22935458 free *** Garbage collection starting *** GC 704 4-Oct-2003 23:54:03, 130 ms (0%), 2064556 occupied, 22935326 free *** Garbage collection starting *** GC 705 4-Oct-2003 23:54:05, 120 ms (0%), 2064720 occupied, 22935162 free *** Garbage collection starting *** GC 706 4-Oct-2003 23:54:08, 120 ms (0%), 2064834 occupied, 22935048 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 707 4-Oct-2003 23:54:19, 130 ms (0%), 2212622 occupied, 22787106 free *** Garbage collection starting *** GC 708 4-Oct-2003 23:54:29, 130 ms (0%), 2123035 occupied, 22876736 free *** Garbage collection starting *** GC 709 4-Oct-2003 23:54:40, 140 ms (0%), 2240431 occupied, 22759270 free *** Garbage collection starting *** GC 710 4-Oct-2003 23:54:50, 130 ms (0%), 2168896 occupied, 22830848 free *** Garbage collection starting *** GC 711 4-Oct-2003 23:55:01, 130 ms (0%), 2264649 occupied, 22734999 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_836 we get the alternative equations : 0=p4 0=q22 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2384 : 0=p4 e_1364,e_2399,e_1478,e_1671,e_1911,e_1853,e_1780,e_2012,e_1897,e_690,e_2165, e_2267,e_2252,e_2114,e_2363,e_2232,e_2260,e_2369,e_2378 are consequences of e_2384 Step 1015: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms e_1406 is a consequence of e_2303. e_2393 is a consequence of e_1729. e_2382 is a consequence of e_2334. e_2395 is a consequence of e_3. e_2396 is a consequence of e_2334. e_2290 is a consequence of e_2401. e_2411 is a consequence of e_2398. e_1632 is a consequence of e_1830. Substitution of p4 found in e_2384 : p4=0 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 : *** Garbage collection starting *** GC 712 4-Oct-2003 23:55:05, 120 ms (0%), 2096315 occupied, 22903557 free --- Algebraic length reduction of equations : shortening by 1 term Step 1017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2339 is a consequence of e_2390. Step 1025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2209 is a consequence of e_2391. Step 1029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 1 term Step 1036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term *** Garbage collection starting *** GC 713 4-Oct-2003 23:55:09, 120 ms (0%), 2093483 occupied, 22906394 free Step 1041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2516 is a consequence of e_1934. Step 1048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 714 4-Oct-2003 23:55:15, 120 ms (0%), 2095485 occupied, 22904393 free *** Garbage collection starting *** GC 715 4-Oct-2003 23:55:20, 120 ms (0%), 2096571 occupied, 22903307 free *** Garbage collection starting *** GC 716 4-Oct-2003 23:55:25, 130 ms (0%), 2097163 occupied, 22902715 free *** Garbage collection starting *** GC 717 4-Oct-2003 23:55:30, 120 ms (0%), 2097993 occupied, 22901885 free shortening by 2 terms Step 1053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 718 4-Oct-2003 23:55:35, 130 ms (0%), 2094315 occupied, 22905560 free *** Garbage collection starting *** GC 719 4-Oct-2003 23:55:39, 120 ms (0%), 2096129 occupied, 22903746 free *** Garbage collection starting *** GC 720 4-Oct-2003 23:55:43, 130 ms (0%), 2096397 occupied, 22903478 free shortening by 1 term Step 1055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 721 4-Oct-2003 23:55:47, 120 ms (0%), 2094085 occupied, 22905794 free shortening by 2 terms Step 1056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 722 4-Oct-2003 23:55:50, 120 ms (0%), 2093967 occupied, 22905912 free shortening by 4 terms Step 1058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 723 4-Oct-2003 23:55:54, 130 ms (0%), 2094547 occupied, 22905332 free *** Garbage collection starting *** GC 724 4-Oct-2003 23:55:57, 120 ms (0%), 2095667 occupied, 22904212 free *** Garbage collection starting *** GC 725 4-Oct-2003 23:56:00, 120 ms (0%), 2097275 occupied, 22902604 free *** Garbage collection starting *** GC 726 4-Oct-2003 23:56:03, 130 ms (0%), 2097477 occupied, 22902402 free *** Garbage collection starting *** GC 727 4-Oct-2003 23:56:06, 130 ms (0%), 2097573 occupied, 22902306 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_2414 and e_1585. e_1585: 0=(q1 - q26)*p11 is replaced by e_2273: 0=p11*q26 Step 1059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 728 4-Oct-2003 23:56:09, 130 ms (0%), 2093453 occupied, 22906426 free *** Garbage collection starting *** GC 729 4-Oct-2003 23:56:12, 120 ms (0%), 2093645 occupied, 22906234 free *** Garbage collection starting *** GC 730 4-Oct-2003 23:56:15, 120 ms (0%), 2093791 occupied, 22906088 free *** Garbage collection starting *** GC 731 4-Oct-2003 23:56:18, 120 ms (0%), 2093805 occupied, 22906074 free *** Garbage collection starting *** GC 732 4-Oct-2003 23:56:21, 130 ms (0%), 2093921 occupied, 22905958 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_2414 and e_1934. e_1934: 0=(q1 - 9*q52)*p11 is replaced by e_1690: 0=p11*q52 Step 1062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 733 4-Oct-2003 23:56:26, 130 ms (0%), 2093339 occupied, 22906540 free *** Garbage collection starting *** GC 734 4-Oct-2003 23:56:29, 120 ms (0%), 2093543 occupied, 22906336 free *** Garbage collection starting *** GC 735 4-Oct-2003 23:56:32, 120 ms (0%), 2093639 occupied, 22906240 free *** Garbage collection starting *** GC 736 4-Oct-2003 23:56:35, 120 ms (0%), 2093657 occupied, 22906222 free *** Garbage collection starting *** GC 737 4-Oct-2003 23:56:38, 120 ms (0%), 2094009 occupied, 22905870 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_2465 and e_1388. e_1388: 0=(q1 - 9*q52)*p10 is replaced by e_2485: 0=p10*q1 e_2485 is a consequence of e_2388. Step 1067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 738 4-Oct-2003 23:56:42, 120 ms (0%), 2093827 occupied, 22906050 free *** Garbage collection starting *** GC 739 4-Oct-2003 23:56:45, 120 ms (0%), 2094003 occupied, 22905874 free *** Garbage collection starting *** GC 740 4-Oct-2003 23:56:48, 120 ms (0%), 2094327 occupied, 22905550 free *** Garbage collection starting *** GC 741 4-Oct-2003 23:56:51, 130 ms (0%), 2094569 occupied, 22905307 free *** Garbage collection starting *** GC 742 4-Oct-2003 23:56:54, 120 ms (0%), 2094887 occupied, 22904989 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_2465 and e_2145. e_2145: 0=(q25 - q52)*p10 is replaced by e_2495: 0=p10*q25 e_2495 is a consequence of e_1860. Step 1068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 743 4-Oct-2003 23:56:58, 130 ms (0%), 2094049 occupied, 22905829 free *** Garbage collection starting *** GC 744 4-Oct-2003 23:57:01, 120 ms (0%), 2094741 occupied, 22905137 free *** Garbage collection starting *** GC 745 4-Oct-2003 23:57:03, 130 ms (0%), 2095307 occupied, 22904571 free *** Garbage collection starting *** GC 746 4-Oct-2003 23:57:06, 120 ms (0%), 2095737 occupied, 22904141 free *** Garbage collection starting *** GC 747 4-Oct-2003 23:57:09, 130 ms (0%), 2095955 occupied, 22903923 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_2274 and e_2140. e_2140: 0=(q25 - q52)*p11 is replaced by e_1670: 0=p11*q52 e_1670 is a consequence of e_1690. Step 1069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 748 4-Oct-2003 23:57:13, 120 ms (0%), 2094123 occupied, 22905756 free *** Garbage collection starting *** GC 749 4-Oct-2003 23:57:16, 120 ms (0%), 2095077 occupied, 22904802 free *** Garbage collection starting *** GC 750 4-Oct-2003 23:57:19, 120 ms (0%), 2095731 occupied, 22904148 free *** Garbage collection starting *** GC 751 4-Oct-2003 23:57:22, 120 ms (0%), 2096185 occupied, 22903694 free *** Garbage collection starting *** GC 752 4-Oct-2003 23:57:25, 130 ms (0%), 2096473 occupied, 22903406 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_2517 and e_1939. e_1939: 0=(q15 + 3*q17)*p16 is replaced by e_2161: 0=p16*q15 Step 1070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 753 4-Oct-2003 23:57:29, 130 ms (0%), 2093697 occupied, 22906179 free *** Garbage collection starting *** GC 754 4-Oct-2003 23:57:32, 120 ms (0%), 2093893 occupied, 22905983 free *** Garbage collection starting *** GC 755 4-Oct-2003 23:57:35, 120 ms (0%), 2094105 occupied, 22905771 free *** Garbage collection starting *** GC 756 4-Oct-2003 23:57:38, 120 ms (0%), 2094253 occupied, 22905623 free *** Garbage collection starting *** GC 757 4-Oct-2003 23:57:41, 130 ms (0%), 2094495 occupied, 22905381 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1338 and e_1891. e_1891: 0=(q15 - q44)*p16 is replaced by e_2279: 0=p16*q15 e_2279 is a consequence of e_2161. Step 1073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 758 4-Oct-2003 23:57:44, 120 ms (0%), 2093647 occupied, 22906230 free *** Garbage collection starting *** GC 759 4-Oct-2003 23:57:47, 120 ms (0%), 2093779 occupied, 22906098 free *** Garbage collection starting *** GC 760 4-Oct-2003 23:57:50, 130 ms (0%), 2094159 occupied, 22905718 free *** Garbage collection starting *** GC 761 4-Oct-2003 23:57:53, 120 ms (0%), 2094375 occupied, 22905502 free *** Garbage collection starting *** GC 762 4-Oct-2003 23:57:56, 130 ms (0%), 2094833 occupied, 22905043 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_2439 and e_1608. e_1608: 0=(q43 - 10*q47)*p5 is replaced by e_2318: 0=p5*q43 e_2318 is a consequence of e_2385. Step 1074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 763 4-Oct-2003 23:58:00, 120 ms (0%), 2093867 occupied, 22906012 free *** Garbage collection starting *** GC 764 4-Oct-2003 23:58:03, 120 ms (0%), 2094723 occupied, 22905156 free *** Garbage collection starting *** GC 765 4-Oct-2003 23:58:06, 120 ms (0%), 2095247 occupied, 22904632 free *** Garbage collection starting *** GC 766 4-Oct-2003 23:58:09, 120 ms (0%), 2095637 occupied, 22904242 free *** Garbage collection starting *** GC 767 4-Oct-2003 23:58:12, 130 ms (0%), 2095925 occupied, 22903954 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_2439 and e_2121. e_2121: 0=(q43 - 2*q47)*p5 is replaced by e_2352: 0=p5*q43 e_2352 is a consequence of e_2385. Step 1075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 768 4-Oct-2003 23:58:15, 120 ms (0%), 2094295 occupied, 22905584 free *** Garbage collection starting *** GC 769 4-Oct-2003 23:58:18, 120 ms (0%), 2094649 occupied, 22905230 free *** Garbage collection starting *** GC 770 4-Oct-2003 23:58:21, 130 ms (0%), 2095211 occupied, 22904668 free *** Garbage collection starting *** GC 771 4-Oct-2003 23:58:24, 120 ms (0%), 2095433 occupied, 22904446 free *** Garbage collection starting *** GC 772 4-Oct-2003 23:58:27, 130 ms (0%), 2095609 occupied, 22904270 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_1830 and e_1627. e_1627: 0=(2*q16 - q19)*p5 is replaced by e_2339: 0=p5*q16 e_2339 is a consequence of e_1729. Step 1076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 773 4-Oct-2003 23:58:31, 130 ms (0%), 2093173 occupied, 22906707 free *** Garbage collection starting *** GC 774 4-Oct-2003 23:58:34, 130 ms (0%), 2093381 occupied, 22906499 free *** Garbage collection starting *** GC 775 4-Oct-2003 23:58:37, 130 ms (0%), 2093565 occupied, 22906314 free *** Garbage collection starting *** GC 776 4-Oct-2003 23:58:40, 120 ms (0%), 2093859 occupied, 22906020 free *** Garbage collection starting *** GC 777 4-Oct-2003 23:58:43, 130 ms (0%), 2093949 occupied, 22905930 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_2407 and e_2223. e_2223: 0=(q10 - 2*q19)*p9 is replaced by e_868: 0=p9*q10 Step 1077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 778 4-Oct-2003 23:58:46, 120 ms (0%), 2092457 occupied, 22907423 free *** Garbage collection starting *** GC 779 4-Oct-2003 23:58:49, 120 ms (0%), 2092675 occupied, 22907205 free *** Garbage collection starting *** GC 780 4-Oct-2003 23:58:52, 120 ms (0%), 2092833 occupied, 22907047 free *** Garbage collection starting *** GC 781 4-Oct-2003 23:58:55, 120 ms (0%), 2092853 occupied, 22907027 free *** Garbage collection starting *** GC 782 4-Oct-2003 23:58:58, 130 ms (0%), 2093203 occupied, 22906677 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_2400 and e_1828. e_1828: 0=(q49 + q50)*p5 is replaced by e_1412: 0=p5*q49 e_1412 is a consequence of e_2391. Step 1081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 783 4-Oct-2003 23:59:02, 130 ms (0%), 2092467 occupied, 22907412 free *** Garbage collection starting *** GC 784 4-Oct-2003 23:59:05, 120 ms (0%), 2092813 occupied, 22907066 free *** Garbage collection starting *** GC 785 4-Oct-2003 23:59:08, 130 ms (0%), 2093289 occupied, 22906590 free *** Garbage collection starting *** GC 786 4-Oct-2003 23:59:11, 130 ms (0%), 2093581 occupied, 22906298 free *** Garbage collection starting *** GC 787 4-Oct-2003 23:59:13, 130 ms (0%), 2093817 occupied, 22906062 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_2392 and e_2311. e_2311: 0=(2*q45 + 3*q48)*p5 is replaced by e_2372: 0=p5*q48 Step 1082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 788 4-Oct-2003 23:59:17, 120 ms (0%), 2093261 occupied, 22906619 free *** Garbage collection starting *** GC 789 4-Oct-2003 23:59:20, 120 ms (0%), 2093469 occupied, 22906411 free *** Garbage collection starting *** GC 790 4-Oct-2003 23:59:23, 120 ms (0%), 2093667 occupied, 22906213 free *** Garbage collection starting *** GC 791 4-Oct-2003 23:59:26, 130 ms (0%), 2093887 occupied, 22905993 free *** Garbage collection starting *** GC 792 4-Oct-2003 23:59:29, 130 ms (0%), 2094025 occupied, 22905855 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_2391 and e_1706. e_1706: 0=(q20 - q49)*p5 is replaced by e_2301: 0=p5*q20 Step 1083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 793 4-Oct-2003 23:59:33, 130 ms (0%), 2093061 occupied, 22906819 free *** Garbage collection starting *** GC 794 4-Oct-2003 23:59:35, 120 ms (0%), 2093287 occupied, 22906593 free *** Garbage collection starting *** GC 795 4-Oct-2003 23:59:38, 130 ms (0%), 2093501 occupied, 22906379 free *** Garbage collection starting *** GC 796 4-Oct-2003 23:59:41, 120 ms (0%), 2093717 occupied, 22906163 free *** Garbage collection starting *** GC 797 4-Oct-2003 23:59:44, 120 ms (0%), 2093885 occupied, 22905995 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_1742 and e_1600. e_1742: 0=(23*q13 - 9*q28)*p9 is replaced by e_2376: 0=p9*q13 Step 1084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term 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 2 terms 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 : *** Garbage collection starting *** GC 798 4-Oct-2003 23:59:49, 120 ms (0%), 2092353 occupied, 22907527 free 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 : *** Garbage collection starting *** GC 799 4-Oct-2003 23:59:52, 130 ms (0%), 2092835 occupied, 22907045 free *** Garbage collection starting *** GC 800 4-Oct-2003 23:59:55, 120 ms (0%), 2093037 occupied, 22906842 free *** Garbage collection starting *** GC 801 4-Oct-2003 23:59:58, 130 ms (0%), 2093257 occupied, 22906622 free *** Garbage collection starting *** GC 802 5-Oct-2003 00:00:01, 120 ms (0%), 2093351 occupied, 22906528 free *** Garbage collection starting *** GC 803 5-Oct-2003 00:00:04, 120 ms (0%), 2093543 occupied, 22906336 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_2376 and e_1600. e_1600: 0=(2*q13 - q28)*p9 is replaced by e_2384: 0=p9*q28 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 term 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 1 term 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 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 : *** Garbage collection starting *** GC 804 5-Oct-2003 00:00:10, 120 ms (0%), 2093145 occupied, 22906733 free *** Garbage collection starting *** GC 805 5-Oct-2003 00:00:13, 120 ms (0%), 2093899 occupied, 22905979 free *** Garbage collection starting *** GC 806 5-Oct-2003 00:00:16, 120 ms (0%), 2094125 occupied, 22905753 free *** Garbage collection starting *** GC 807 5-Oct-2003 00:00:19, 120 ms (0%), 2094317 occupied, 22905561 free *** Garbage collection starting *** GC 808 5-Oct-2003 00:00:22, 120 ms (0%), 2094431 occupied, 22905447 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 809 5-Oct-2003 00:00:32, 140 ms (0%), 2250675 occupied, 22749048 free *** Garbage collection starting *** GC 810 5-Oct-2003 00:00:43, 130 ms (0%), 2234450 occupied, 22765275 free *** Garbage collection starting *** GC 811 5-Oct-2003 00:00:54, 130 ms (0%), 2218243 occupied, 22781495 free *** Garbage collection starting *** GC 812 5-Oct-2003 00:01:04, 130 ms (0%), 2204860 occupied, 22794882 free *** Garbage collection starting *** GC 813 5-Oct-2003 00:01:15, 140 ms (0%), 2192156 occupied, 22807601 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1694 we get the alternative equations : 0=p21 0=q30 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2153 : 0=p21 e_644,e_728,e_1905,e_1722,e_1422,e_996,e_1425,e_1427,e_1588,e_1606,e_584,e_1649, e_1908,e_1847,e_1404,e_1849,e_2212,e_2146,e_1861,e_1583,e_1816,e_2326,e_2179, e_1995,e_2254,e_1822,e_735,e_2256,e_2275,e_2404,e_2405,e_2394,e_2511 are consequences of e_2153 Step 1106: Hot list of urgent steps : Substitution of p21 found in e_2153 : p21=0 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 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 e_1780 is a consequence of e_2484. 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 : *** Garbage collection starting *** GC 814 5-Oct-2003 00:01:19, 120 ms (0%), 2103138 occupied, 22896737 free 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 e_2399 is a consequence of e_2484. 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 e_1364 is a consequence of e_2533. 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 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 Step 1120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 815 5-Oct-2003 00:01:24, 130 ms (0%), 2103094 occupied, 22896784 free shortening by 1 term Step 1131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 816 5-Oct-2003 00:01:28, 120 ms (0%), 2103402 occupied, 22896476 free shortening by 1 term Step 1133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 817 5-Oct-2003 00:01:32, 130 ms (0%), 2101896 occupied, 22897982 free *** Garbage collection starting *** GC 818 5-Oct-2003 00:01:35, 120 ms (0%), 2102426 occupied, 22897452 free *** Garbage collection starting *** GC 819 5-Oct-2003 00:01:38, 120 ms (0%), 2102700 occupied, 22897178 free *** Garbage collection starting *** GC 820 5-Oct-2003 00:01:41, 130 ms (0%), 2102764 occupied, 22897114 free *** Garbage collection starting *** GC 821 5-Oct-2003 00:01:44, 130 ms (0%), 2102990 occupied, 22896888 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q59 from e_2514 and e_2479. e_2479: 0=(q33 - q59)*p16 is replaced by e_1427: 0=p16*q33 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 : *** Garbage collection starting *** GC 822 5-Oct-2003 00:01:48, 120 ms (0%), 2101696 occupied, 22898182 free *** Garbage collection starting *** GC 823 5-Oct-2003 00:01:51, 130 ms (0%), 2101982 occupied, 22897896 free *** Garbage collection starting *** GC 824 5-Oct-2003 00:01:54, 120 ms (0%), 2102270 occupied, 22897608 free *** Garbage collection starting *** GC 825 5-Oct-2003 00:01:57, 130 ms (0%), 2102366 occupied, 22897512 free *** Garbage collection starting *** GC 826 5-Oct-2003 00:02:01, 130 ms (0%), 2102782 occupied, 22897096 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q59 from e_2508 and e_2410. e_2410: 0=(q33 - q59)*p20 is replaced by e_996: 0=p20*q33 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 : *** Garbage collection starting *** GC 827 5-Oct-2003 00:02:04, 120 ms (0%), 2101812 occupied, 22898066 free *** Garbage collection starting *** GC 828 5-Oct-2003 00:02:07, 130 ms (0%), 2102090 occupied, 22897788 free *** Garbage collection starting *** GC 829 5-Oct-2003 00:02:10, 120 ms (0%), 2102224 occupied, 22897654 free *** Garbage collection starting *** GC 830 5-Oct-2003 00:02:13, 130 ms (0%), 2102676 occupied, 22897202 free *** Garbage collection starting *** GC 831 5-Oct-2003 00:02:16, 130 ms (0%), 2102978 occupied, 22896900 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_2498 and e_2374. e_2374: 0=(2*q40 + q42)*p5 is replaced by e_1722: 0=p5*q42 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 : *** Garbage collection starting *** GC 832 5-Oct-2003 00:02:21, 120 ms (0%), 2102620 occupied, 22897258 free *** Garbage collection starting *** GC 833 5-Oct-2003 00:02:24, 120 ms (0%), 2102894 occupied, 22896984 free *** Garbage collection starting *** GC 834 5-Oct-2003 00:02:27, 130 ms (0%), 2103170 occupied, 22896708 free *** Garbage collection starting *** GC 835 5-Oct-2003 00:02:30, 120 ms (0%), 2103490 occupied, 22896388 free *** Garbage collection starting *** GC 836 5-Oct-2003 00:02:33, 120 ms (0%), 2103676 occupied, 22896202 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 837 5-Oct-2003 00:02:45, 130 ms (0%), 2187932 occupied, 22811825 free *** Garbage collection starting *** GC 838 5-Oct-2003 00:02:57, 130 ms (0%), 2128629 occupied, 22871177 free *** Garbage collection starting *** GC 839 5-Oct-2003 00:03:08, 140 ms (0%), 2208102 occupied, 22791649 free *** Garbage collection starting *** GC 840 5-Oct-2003 00:03:20, 130 ms (0%), 2165319 occupied, 22834472 free *** Garbage collection starting *** GC 841 5-Oct-2003 00:03:32, 120 ms (0%), 2117249 occupied, 22882555 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2303 we get the alternative equations : 0=p5 0=q22 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2599 : 0=p5 e_1792,e_1026,e_2426,e_2427,e_96,e_3,e_2198,e_2208,e_1896,e_2334,e_2192,e_1932, e_2348,e_2367,e_2380,e_2385,e_2386,e_1729,e_2389,e_2391,e_2392,e_2398,e_2400, e_1830,e_2297,e_2439,e_2372,e_2301,e_2498,e_1666,e_1722 are consequences of e_2599 Step 1138: Hot list of urgent steps : The list of inequalities got extended by: g0034*p11 + g0035*p10 + g0036*p9 Substitution of p5 found in e_2599 : p5=0 Step 1139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 842 5-Oct-2003 00:03:36, 130 ms (0%), 2121608 occupied, 22878267 free *** Garbage collection starting *** GC 843 5-Oct-2003 00:03:41, 130 ms (0%), 2124362 occupied, 22875513 free 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 1 term 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 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 2 terms 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 : *** Garbage collection starting *** GC 844 5-Oct-2003 00:03:46, 130 ms (0%), 2121276 occupied, 22878598 free shortening by 4 terms Step 1147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 845 5-Oct-2003 00:03:50, 130 ms (0%), 2122362 occupied, 22877512 free shortening by 1 term 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 : *** Garbage collection starting *** GC 846 5-Oct-2003 00:03:54, 130 ms (0%), 2121546 occupied, 22878327 free shortening by 3 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 : *** Garbage collection starting *** GC 847 5-Oct-2003 00:03:57, 130 ms (0%), 2123114 occupied, 22876759 free *** Garbage collection starting *** GC 848 5-Oct-2003 00:04:00, 120 ms (0%), 2123408 occupied, 22876465 free *** Garbage collection starting *** GC 849 5-Oct-2003 00:04:03, 130 ms (0%), 2123712 occupied, 22876161 free *** Garbage collection starting *** GC 850 5-Oct-2003 00:04:06, 130 ms (0%), 2123996 occupied, 22875877 free *** Garbage collection starting *** GC 851 5-Oct-2003 00:04:10, 130 ms (0%), 2124342 occupied, 22875531 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_2240 and e_836. e_836: 0=(q21 + 2*q23)*p16 is replaced by e_2075: 0=p16*q23 e_2075 is a consequence of e_1430. 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 : *** Garbage collection starting *** GC 852 5-Oct-2003 00:04:13, 120 ms (0%), 2122050 occupied, 22877824 free *** Garbage collection starting *** GC 853 5-Oct-2003 00:04:16, 120 ms (0%), 2122674 occupied, 22877199 free *** Garbage collection starting *** GC 854 5-Oct-2003 00:04:20, 120 ms (0%), 2123280 occupied, 22876593 free *** Garbage collection starting *** GC 855 5-Oct-2003 00:04:23, 130 ms (0%), 2123752 occupied, 22876121 free *** Garbage collection starting *** GC 856 5-Oct-2003 00:04:26, 120 ms (0%), 2124210 occupied, 22875663 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q22 from e_2261 and e_1885. e_2261: 0=(3*q22 - 2*q9)*p9 is replaced by e_1364: 0=p9*q9 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 1 term 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 : *** Garbage collection starting *** GC 857 5-Oct-2003 00:04:30, 130 ms (0%), 2121706 occupied, 22878168 free *** Garbage collection starting *** GC 858 5-Oct-2003 00:04:33, 130 ms (0%), 2122074 occupied, 22877800 free *** Garbage collection starting *** GC 859 5-Oct-2003 00:04:36, 130 ms (0%), 2122122 occupied, 22877752 free *** Garbage collection starting *** GC 860 5-Oct-2003 00:04:39, 130 ms (0%), 2122726 occupied, 22877148 free *** Garbage collection starting *** GC 861 5-Oct-2003 00:04:42, 120 ms (0%), 2123170 occupied, 22876704 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1364 and e_1885. e_1885: 0=(q22 - q9)*p9 is replaced by e_1447: 0=p9*q22 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 1 term Step 1157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 1 term Step 1162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 862 5-Oct-2003 00:04:46, 120 ms (0%), 2121834 occupied, 22878040 free *** Garbage collection starting *** GC 863 5-Oct-2003 00:04:50, 130 ms (0%), 2122072 occupied, 22877802 free *** Garbage collection starting *** GC 864 5-Oct-2003 00:04:53, 130 ms (0%), 2122254 occupied, 22877620 free *** Garbage collection starting *** GC 865 5-Oct-2003 00:04:56, 130 ms (0%), 2122580 occupied, 22877294 free *** Garbage collection starting *** GC 866 5-Oct-2003 00:04:59, 130 ms (0%), 2123032 occupied, 22876842 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_2014 and e_1949. e_1949: 0=(q22 - q9)*p11 is replaced by e_1583: 0=p11*q22 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 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 : *** Garbage collection starting *** GC 867 5-Oct-2003 00:05:03, 120 ms (0%), 2121832 occupied, 22878042 free *** Garbage collection starting *** GC 868 5-Oct-2003 00:05:06, 120 ms (0%), 2122134 occupied, 22877740 free *** Garbage collection starting *** GC 869 5-Oct-2003 00:05:09, 130 ms (0%), 2122238 occupied, 22877636 free *** Garbage collection starting *** GC 870 5-Oct-2003 00:05:13, 130 ms (0%), 2122732 occupied, 22877142 free *** Garbage collection starting *** GC 871 5-Oct-2003 00:05:16, 130 ms (0%), 2123300 occupied, 22876574 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 872 5-Oct-2003 00:05:28, 130 ms (0%), 2202148 occupied, 22797612 free *** Garbage collection starting *** GC 873 5-Oct-2003 00:05:40, 130 ms (0%), 2172376 occupied, 22827404 free Eliminate q23 from e_1430 and e_2234. e_2234: 0=(q19 + q23 - 3*q53)*p16 is replaced by e_1908: 0=(q19 - 3*q53)*p16 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 : *** Garbage collection starting *** GC 874 5-Oct-2003 00:05:50, 130 ms (0%), 2122026 occupied, 22877848 free *** Garbage collection starting *** GC 875 5-Oct-2003 00:05:54, 120 ms (0%), 2122828 occupied, 22877046 free *** Garbage collection starting *** GC 876 5-Oct-2003 00:05:57, 130 ms (0%), 2123650 occupied, 22876224 free *** Garbage collection starting *** GC 877 5-Oct-2003 00:06:00, 120 ms (0%), 2124278 occupied, 22875596 free *** Garbage collection starting *** GC 878 5-Oct-2003 00:06:03, 120 ms (0%), 2124778 occupied, 22875096 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_2406 and e_1908. e_1908: 0=(q19 - 3*q53)*p16 is replaced by e_2224: 0=p16*q53 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 : *** Garbage collection starting *** GC 879 5-Oct-2003 00:06:07, 120 ms (0%), 2122340 occupied, 22877534 free *** Garbage collection starting *** GC 880 5-Oct-2003 00:06:10, 120 ms (0%), 2122718 occupied, 22877156 free *** Garbage collection starting *** GC 881 5-Oct-2003 00:06:14, 120 ms (0%), 2123210 occupied, 22876664 free *** Garbage collection starting *** GC 882 5-Oct-2003 00:06:17, 120 ms (0%), 2123700 occupied, 22876174 free *** Garbage collection starting *** GC 883 5-Oct-2003 00:06:20, 120 ms (0%), 2124160 occupied, 22875714 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q52 from e_1839 and e_1619. e_1619: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q52,q26,q25,p16) is replaced by e_2479: 0=(3*q25 + q26)*p16 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 : *** Garbage collection starting *** GC 884 5-Oct-2003 00:06:29, 120 ms (0%), 2122468 occupied, 22877405 free *** Garbage collection starting *** GC 885 5-Oct-2003 00:06:32, 130 ms (0%), 2123542 occupied, 22876331 free *** Garbage collection starting *** GC 886 5-Oct-2003 00:06:36, 130 ms (0%), 2124390 occupied, 22875483 free *** Garbage collection starting *** GC 887 5-Oct-2003 00:06:39, 130 ms (0%), 2124808 occupied, 22875065 free *** Garbage collection starting *** GC 888 5-Oct-2003 00:06:42, 120 ms (0%), 2125374 occupied, 22874499 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_1878 and e_2479. e_2479: 0=(3*q25 + q26)*p16 is replaced by e_1422: 0=p16*q26 e_1422 is a consequence of e_1663. 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 : *** Garbage collection starting *** GC 889 5-Oct-2003 00:06:46, 120 ms (0%), 2123730 occupied, 22876143 free *** Garbage collection starting *** GC 890 5-Oct-2003 00:06:49, 130 ms (0%), 2124458 occupied, 22875414 free *** Garbage collection starting *** GC 891 5-Oct-2003 00:06:53, 130 ms (0%), 2124840 occupied, 22875032 free *** Garbage collection starting *** GC 892 5-Oct-2003 00:06:56, 120 ms (0%), 2125286 occupied, 22874586 free *** Garbage collection starting *** GC 893 5-Oct-2003 00:06:59, 130 ms (0%), 2125544 occupied, 22874328 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 894 5-Oct-2003 00:07:11, 130 ms (0%), 2130259 occupied, 22869542 free *** Garbage collection starting *** GC 895 5-Oct-2003 00:07:23, 130 ms (0%), 2150939 occupied, 22848855 free *** Garbage collection starting *** GC 896 5-Oct-2003 00:07:36, 130 ms (0%), 2174620 occupied, 22825174 free *** Garbage collection starting *** GC 897 5-Oct-2003 00:07:48, 140 ms (0%), 2199662 occupied, 22800081 free *** Garbage collection starting *** GC 898 5-Oct-2003 00:08:00, 130 ms (0%), 2123507 occupied, 22876366 free Eliminate q52 from e_709 and e_1020. e_1020: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q52,q26,q25,q1,p20) is replaced by e_2374: 0=(q1 - q26)*p20 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 : *** Garbage collection starting *** GC 899 5-Oct-2003 00:08:06, 130 ms (0%), 2123846 occupied, 22876027 free *** Garbage collection starting *** GC 900 5-Oct-2003 00:08:09, 130 ms (0%), 2124972 occupied, 22874901 free *** Garbage collection starting *** GC 901 5-Oct-2003 00:08:12, 130 ms (0%), 2125610 occupied, 22874263 free *** Garbage collection starting *** GC 902 5-Oct-2003 00:08:16, 130 ms (0%), 2125810 occupied, 22874062 free *** Garbage collection starting *** GC 903 5-Oct-2003 00:08:19, 120 ms (0%), 2126238 occupied, 22873634 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_1306 and e_2374. e_2374: 0=(q1 - q26)*p20 is replaced by e_644: 0=p20*q1 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 : *** Garbage collection starting *** GC 904 5-Oct-2003 00:08:23, 130 ms (0%), 2123444 occupied, 22876428 free *** Garbage collection starting *** GC 905 5-Oct-2003 00:08:26, 130 ms (0%), 2123774 occupied, 22876098 free *** Garbage collection starting *** GC 906 5-Oct-2003 00:08:29, 130 ms (0%), 2124222 occupied, 22875650 free *** Garbage collection starting *** GC 907 5-Oct-2003 00:08:33, 120 ms (0%), 2124658 occupied, 22875214 free *** Garbage collection starting *** GC 908 5-Oct-2003 00:08:36, 120 ms (0%), 2125074 occupied, 22874798 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_644 and e_1025. e_1025: 0=(q1 + 3*q25)*p20 is replaced by e_2556: 0=p20*q25 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 : *** Garbage collection starting *** GC 909 5-Oct-2003 00:08:40, 130 ms (0%), 2123584 occupied, 22876288 free *** Garbage collection starting *** GC 910 5-Oct-2003 00:08:43, 120 ms (0%), 2123946 occupied, 22875926 free *** Garbage collection starting *** GC 911 5-Oct-2003 00:08:46, 130 ms (0%), 2124396 occupied, 22875476 free *** Garbage collection starting *** GC 912 5-Oct-2003 00:08:50, 130 ms (0%), 2124826 occupied, 22875046 free *** Garbage collection starting *** GC 913 5-Oct-2003 00:08:53, 120 ms (0%), 2125250 occupied, 22874622 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_2556 and e_709. e_709: 0=(q25 - q52)*p20 is replaced by e_2558: 0=p20*q52 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 : *** Garbage collection starting *** GC 914 5-Oct-2003 00:08:57, 130 ms (0%), 2123724 occupied, 22876147 free *** Garbage collection starting *** GC 915 5-Oct-2003 00:09:00, 130 ms (0%), 2124056 occupied, 22875815 free *** Garbage collection starting *** GC 916 5-Oct-2003 00:09:04, 130 ms (0%), 2124516 occupied, 22875355 free *** Garbage collection starting *** GC 917 5-Oct-2003 00:09:07, 130 ms (0%), 2124948 occupied, 22874923 free *** Garbage collection starting *** GC 918 5-Oct-2003 00:09:10, 120 ms (0%), 2125432 occupied, 22874439 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_1451 and e_2521. e_2521: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q15,q13,p11,p9) is replaced by e_2560: 0=p11*q13 - 8*p9*q15 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 : *** Garbage collection starting *** GC 919 5-Oct-2003 00:09:20, 120 ms (0%), 2124182 occupied, 22875689 free *** Garbage collection starting *** GC 920 5-Oct-2003 00:09:23, 130 ms (0%), 2125062 occupied, 22874809 free *** Garbage collection starting *** GC 921 5-Oct-2003 00:09:27, 130 ms (0%), 2125546 occupied, 22874325 free *** Garbage collection starting *** GC 922 5-Oct-2003 00:09:30, 130 ms (0%), 2125794 occupied, 22874077 free *** Garbage collection starting *** GC 923 5-Oct-2003 00:09:33, 120 ms (0%), 2126166 occupied, 22873705 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_1451 and e_1721. e_1721: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q30,q28,q15,p10,p9) is replaced by e_2563: 3 terms, 6 factors, with derivatives of functions of all variables: (q32,q28,q15,p10,p9) 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 : *** Garbage collection starting *** GC 924 5-Oct-2003 00:09:43, 130 ms (0%), 2124672 occupied, 22875197 free *** Garbage collection starting *** GC 925 5-Oct-2003 00:09:46, 130 ms (0%), 2125442 occupied, 22874427 free *** Garbage collection starting *** GC 926 5-Oct-2003 00:09:50, 130 ms (0%), 2125986 occupied, 22873883 free *** Garbage collection starting *** GC 927 5-Oct-2003 00:09:53, 130 ms (0%), 2126174 occupied, 22873695 free *** Garbage collection starting *** GC 928 5-Oct-2003 00:09:56, 120 ms (0%), 2126324 occupied, 22873545 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 929 5-Oct-2003 00:10:09, 140 ms (0%), 2200569 occupied, 22799191 free *** Garbage collection starting *** GC 930 5-Oct-2003 00:10:21, 130 ms (0%), 2179374 occupied, 22820410 free *** Garbage collection starting *** GC 931 5-Oct-2003 00:10:33, 130 ms (0%), 2167094 occupied, 22832703 free *** Garbage collection starting *** GC 932 5-Oct-2003 00:10:46, 130 ms (0%), 2166587 occupied, 22833198 free Eliminate q30 from e_1451 and e_1886. e_1886: 0=p11*q28 - p9*q30 is replaced by e_2567: 0=2*p11*q28 + 5*p9*q15 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 : *** Garbage collection starting *** GC 933 5-Oct-2003 00:10:50, 130 ms (0%), 2125654 occupied, 22874219 free *** Garbage collection starting *** GC 934 5-Oct-2003 00:10:54, 130 ms (0%), 2126298 occupied, 22873575 free *** Garbage collection starting *** GC 935 5-Oct-2003 00:10:57, 130 ms (0%), 2126696 occupied, 22873177 free *** Garbage collection starting *** GC 936 5-Oct-2003 00:11:00, 130 ms (0%), 2126844 occupied, 22873029 free *** Garbage collection starting *** GC 937 5-Oct-2003 00:11:04, 130 ms (0%), 2126954 occupied, 22872919 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_2560 and e_2567. e_2567: 0=2*p11*q28 + 5*p9*q15 is replaced by e_2577: 0=(5*q13 + 16*q28)*p11 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 : *** Garbage collection starting *** GC 938 5-Oct-2003 00:11:13, 130 ms (0%), 2125738 occupied, 22874135 free *** Garbage collection starting *** GC 939 5-Oct-2003 00:11:17, 120 ms (0%), 2126316 occupied, 22873557 free *** Garbage collection starting *** GC 940 5-Oct-2003 00:11:20, 120 ms (0%), 2126530 occupied, 22873343 free *** Garbage collection starting *** GC 941 5-Oct-2003 00:11:23, 130 ms (0%), 2126576 occupied, 22873297 free *** Garbage collection starting *** GC 942 5-Oct-2003 00:11:27, 130 ms (0%), 2126930 occupied, 22872943 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q38 from e_2349 and e_2316. e_2316: 0=p10*q38 + p20*q9 is replaced by e_2580: 0=q9*(2*p16 - p20) 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 : *** Garbage collection starting *** GC 943 5-Oct-2003 00:11:33, 130 ms (0%), 2125598 occupied, 22874274 free *** Garbage collection starting *** GC 944 5-Oct-2003 00:11:36, 120 ms (0%), 2126190 occupied, 22873682 free *** Garbage collection starting *** GC 945 5-Oct-2003 00:11:40, 120 ms (0%), 2126504 occupied, 22873368 free *** Garbage collection starting *** GC 946 5-Oct-2003 00:11:43, 130 ms (0%), 2126888 occupied, 22872984 free *** Garbage collection starting *** GC 947 5-Oct-2003 00:11:47, 130 ms (0%), 2127582 occupied, 22872290 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_2580 and e_2362. e_2362: 3 terms, 6 factors, with derivatives of functions of all variables: (q9,q6,p20,p16,p9) is replaced by e_2582: 0=p9*q6 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 1 term 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 1 term 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 1 term 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 : *** Garbage collection starting *** GC 948 5-Oct-2003 00:11:53, 130 ms (0%), 2125332 occupied, 22874540 free *** Garbage collection starting *** GC 949 5-Oct-2003 00:11:56, 130 ms (0%), 2125730 occupied, 22874142 free *** Garbage collection starting *** GC 950 5-Oct-2003 00:12:00, 130 ms (0%), 2126058 occupied, 22873814 free *** Garbage collection starting *** GC 951 5-Oct-2003 00:12:03, 130 ms (0%), 2126568 occupied, 22873304 free *** Garbage collection starting *** GC 952 5-Oct-2003 00:12:07, 130 ms (0%), 2126962 occupied, 22872910 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_1880 and e_1673. e_1673: 0=p16*q27 - 2*p8*q50 is replaced by e_1738: 0=(2*q24 + q50)*p8 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 : *** Garbage collection starting *** GC 953 5-Oct-2003 00:12:15, 130 ms (0%), 2125706 occupied, 22874165 free *** Garbage collection starting *** GC 954 5-Oct-2003 00:12:19, 120 ms (0%), 2126316 occupied, 22873555 free *** Garbage collection starting *** GC 955 5-Oct-2003 00:12:22, 130 ms (0%), 2126804 occupied, 22873067 free *** Garbage collection starting *** GC 956 5-Oct-2003 00:12:26, 130 ms (0%), 2127194 occupied, 22872677 free *** Garbage collection starting *** GC 957 5-Oct-2003 00:12:29, 130 ms (0%), 2127308 occupied, 22872563 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_149 and e_84. e_84: 0=p20*q27 - 4*p8*q35 is replaced by e_2208: 0=(q35 + q6)*p8 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 : *** Garbage collection starting *** GC 958 5-Oct-2003 00:12:34, 130 ms (0%), 2126148 occupied, 22873725 free *** Garbage collection starting *** GC 959 5-Oct-2003 00:12:38, 130 ms (0%), 2126548 occupied, 22873325 free *** Garbage collection starting *** GC 960 5-Oct-2003 00:12:41, 120 ms (0%), 2126868 occupied, 22873005 free *** Garbage collection starting *** GC 961 5-Oct-2003 00:12:44, 130 ms (0%), 2127166 occupied, 22872707 free *** Garbage collection starting *** GC 962 5-Oct-2003 00:12:48, 120 ms (0%), 2127750 occupied, 22872123 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q49 from e_1310 and e_1585. e_1585: 3 terms, 6 factors, with derivatives of functions of all variables: (q49,q38,p11,p9) is replaced by e_96: 3 terms, 6 factors, with derivatives of functions of all variables: (q38,q20,p11,p9) 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 : *** Garbage collection starting *** GC 963 5-Oct-2003 00:12:55, 120 ms (0%), 2125942 occupied, 22873930 free *** Garbage collection starting *** GC 964 5-Oct-2003 00:12:58, 130 ms (0%), 2126916 occupied, 22872955 free *** Garbage collection starting *** GC 965 5-Oct-2003 00:13:02, 130 ms (0%), 2127370 occupied, 22872501 free *** Garbage collection starting *** GC 966 5-Oct-2003 00:13:06, 120 ms (0%), 2127794 occupied, 22872077 free *** Garbage collection starting *** GC 967 5-Oct-2003 00:13:09, 140 ms (0%), 2128316 occupied, 22871555 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q38 from e_96 and e_2418. e_2418: 0=p11*q38 + p9*q35 + p9*q38 is replaced by e_1026: 0=4*p11*q20 + p9*q35 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 : *** Garbage collection starting *** GC 968 5-Oct-2003 00:13:15, 130 ms (0%), 2126088 occupied, 22873785 free *** Garbage collection starting *** GC 969 5-Oct-2003 00:13:19, 130 ms (0%), 2126436 occupied, 22873437 free *** Garbage collection starting *** GC 970 5-Oct-2003 00:13:23, 130 ms (0%), 2126548 occupied, 22873325 free *** Garbage collection starting *** GC 971 5-Oct-2003 00:13:26, 120 ms (0%), 2126660 occupied, 22873213 free *** Garbage collection starting *** GC 972 5-Oct-2003 00:13:30, 130 ms (0%), 2126744 occupied, 22873129 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q35 from e_1026 and e_1648. e_1648: 0=p11*q50 + p9*q35 + p9*q50 is replaced by e_2607: 3 terms, 6 factors, with derivatives of functions of all variables: (q50,q20,p11,p9) 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 : *** Garbage collection starting *** GC 973 5-Oct-2003 00:13:34, 130 ms (0%), 2125992 occupied, 22873884 free *** Garbage collection starting *** GC 974 5-Oct-2003 00:13:38, 130 ms (0%), 2127010 occupied, 22872865 free *** Garbage collection starting *** GC 975 5-Oct-2003 00:13:41, 130 ms (0%), 2127534 occupied, 22872341 free *** Garbage collection starting *** GC 976 5-Oct-2003 00:13:45, 120 ms (0%), 2128192 occupied, 22871683 free *** Garbage collection starting *** GC 977 5-Oct-2003 00:13:48, 130 ms (0%), 2128416 occupied, 22871459 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_2281 and e_1925. e_1925: 5 terms, 10 factors, with derivatives of functions of all variables: (q48,q45,q39,q8,q3,p11,p10) is replaced by e_2331: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q39,q8,q3,p11,p10) 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 : *** Garbage collection starting *** GC 978 5-Oct-2003 00:13:58, 130 ms (0%), 2125774 occupied, 22874101 free *** Garbage collection starting *** GC 979 5-Oct-2003 00:14:02, 130 ms (0%), 2126718 occupied, 22873157 free *** Garbage collection starting *** GC 980 5-Oct-2003 00:14:05, 120 ms (0%), 2127104 occupied, 22872771 free *** Garbage collection starting *** GC 981 5-Oct-2003 00:14:08, 130 ms (0%), 2127260 occupied, 22872615 free *** Garbage collection starting *** GC 982 5-Oct-2003 00:14:12, 130 ms (0%), 2127680 occupied, 22872195 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 983 5-Oct-2003 00:14:25, 140 ms (0%), 2213717 occupied, 22786035 free *** Garbage collection starting *** GC 984 5-Oct-2003 00:14:38, 130 ms (0%), 2217064 occupied, 22782691 free *** Garbage collection starting *** GC 985 5-Oct-2003 00:14:51, 130 ms (0%), 2146810 occupied, 22852988 free *** Garbage collection starting *** GC 986 5-Oct-2003 00:15:04, 130 ms (0%), 2180764 occupied, 22819024 free *** Garbage collection starting *** GC 987 5-Oct-2003 00:15:17, 130 ms (0%), 2212236 occupied, 22787526 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2517 we get the alternative equations : 0=p16 0=q17 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2571 : 0=p16 e_736,e_1663,e_1878,e_1839,e_2197,e_1654,e_2332,e_2346,e_2338,e_574,e_1924, e_2312,e_2397,e_2390,e_2401,e_2406,e_2519,e_2161,e_1338,e_2514,e_1427,e_1430, e_2240,e_2224 are consequences of e_2571 Step 1203: Hot list of urgent steps : The list of inequalities got extended by: p20 The lexicographical ordering of unknowns is changed because p20 has to be non-zero, giving p20 a low priority. Old ordering: 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,p20,p16,p11,p10,p9,p8 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,p11,p10,p9,p8,p20 e_1364,e_2014,e_735 are consequences of e_2572 e_2573 is a consequence of e_2345.e_1596 is a consequence of e_2573 e_1337 is a consequence of e_2576 e_2588 is a consequence of e_1437. Substitution of p16 found in e_2571 : p16=0 Step 1204: Hot list 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 q26 found in e_1306 : q26=0 Step 1205: Hot list 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_2603 is a consequence of e_1779. e_2604 is a consequence of e_881. e_2437 is a consequence of e_881. e_2608 is a consequence of e_1779. e_2609 is a consequence of e_1779. Substitution of q45 found in e_1421 : q45=0 Step 1206: Hot list 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 q11 found in e_2136 : q11=0 Step 1207: Hot list 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 q18 found in e_1624 : q18=0 Step 1208: Hot list 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_1606 is a consequence of e_2344. Substitution of q16 found in e_1779 : q16=0 Step 1209: Hot list 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 28 terms e_1648 is a consequence of e_2403. e_2606 is a consequence of e_2344. e_2464 is a consequence of e_2344. e_2610 is a consequence of e_2344. e_2614 is a consequence of e_2403. Substitution of q39 found in e_2345 : q39=0 Step 1210: Hot list 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_836 is a consequence of e_2344. Substitution of q48 found in e_881 : q48=0 Step 1211: Hot list 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_1478 is a consequence of e_2344. e_2261 is a consequence of e_2613. e_2294 is a consequence of e_2615. Substitution of q19 found in e_2403 : q19=0 Step 1212: Hot list 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 q40 found in e_2461 : q40=0 Step 1213: Hot list 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_2484 : q12=0 Step 1214: Hot list 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_2363 is a consequence of e_996. e_2370 is a consequence of e_996. Substitution of q59 found in e_2508 : q59=0 Step 1215: Hot list 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_996 : q33=0 Step 1216: Hot list 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_1849 is a consequence of e_2613. e_1404 is a consequence of e_2615. Substitution of q21 found in e_2344 : q21=0 Step 1217: Hot list 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 24 terms Substitution of q1 found in e_644 : q1=0 Step 1218: Hot list 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 q25 found in e_2556 : q25=0 Step 1219: Hot list 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 q52 found in e_2558 : q52=0 Step 1220: Hot list 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 26 terms Substitution of q9 found in e_2572 : q9=0 Step 1221: Hot list 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 25 terms e_2592 is a consequence of e_2585. *** Garbage collection starting *** GC 988 5-Oct-2003 00:15:20, 130 ms (0%), 2130966 occupied, 22868907 free Substitution of q7 found in e_2576 : q7=0 Step 1222: Hot list 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 25 terms e_2596 is a consequence of e_2362. Substitution of q4 by an expression in q2 found in e_2159 : q4= - q2 Step 1223: Hot list 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 25 terms e_1435 is a consequence of e_640. e_2611 is a consequence of e_640. Substitution of q36 by an expression in q10 found in e_2423 : q36= - q10 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 : The list of inequalities got extended by: An expression with 21 terms Substitution of q53 by an expression in q23, q10 found in e_640 : 7 factors in 3 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 23 terms e_1649 is a consequence of e_1447. Substitution of q23 by an expression in q22, q3, q2 found in e_2498 : 10 factors in 4 terms Step 1226: Hot list 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 23 terms e_2234 is a consequence of e_1839. Substitution of q22 by an expression in q8 found in e_2295 : q22= - q8 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 24 terms e_2418 is a consequence of e_1600. Substitution of q10 by an expression in q8, q5 found in e_2443 : q10= - q5 - q8 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 : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q8 by an expression in q5, q3, q2 found in e_2283 : q8= - 3*q2 + 3*q3 - q5 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 : The list of inequalities got extended by: An expression with 28 terms e_2639 is a consequence of e_2575. Substitution of q27 by an expression in q38, p8, p20 found in e_91 : 4*p8*q38 q27=---------- p20 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 28 terms e_1648 is a consequence of e_2600. e_2614 is a consequence of e_2610. Substitution of q5 by an expression in q37, p11, p20 found in e_2335 : p11*q37 q5=--------- p20 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 29 terms Substitution of q55 by an expression in q58, p9, p20 found in e_2583 : 1 - ---*p9*q58 2 q55=--------------- p20 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 29 terms *** Garbage collection starting *** GC 989 5-Oct-2003 00:15:24, 130 ms (0%), 2156450 occupied, 22843418 free Substitution of q2 by an expression in q38, p10, p20 found in e_2566 : p10*q38 q2=--------- p20 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 29 terms e_2338 is a consequence of e_2346 Substitution of q28 by an expression in q58, p9, p20 found in e_1939 : 5 - ---*p9*q58 2 q28=--------------- p20 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 : The list of inequalities got extended by: An expression with 24 terms Substitution of q49 by an expression in q56, q20, p8, p20 found in e_1684 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 25 terms Substitution of q42 by an expression in q58, q56, p9, p20 found in e_2340 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 28 terms e_2659 is a consequence of e_2658. e_2646 is a consequence of e_2658. e_2649 is a consequence of e_2658. Substitution of q13 by an expression in q56, p9, p20 found in e_2645 : 3 - ---*p9*q56 2 q13=--------------- p20 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 : 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 q57 by an expression in q43, p11, p9, p20 found in e_1691 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 27 terms e_2599,e_2282,e_1925 are consequences of e_2471 Substitution of q54 by an expression in q38, q37, p8, p20 found in e_2643 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 25 terms e_1792 is a consequence of e_1600 e_2558 is a consequence of e_1600. e_2406 is a consequence of e_1600. e_2406 is a consequence of e_2568. Substitution of q3 by an expression in q38, q37, p10, p9, p20 found in e_2600 : 8 factors in 3 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 : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 25 terms e_1659 is a consequence of e_1668 Substitution of q20 by an expression in q58, q56, p8, p20 found in e_1685 : 8 factors in 3 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 : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q29 by an expression in q56, q43, q14, p10, p20 found in e_2425 : 8 factors in 4 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 : *** Garbage collection starting *** GC 990 5-Oct-2003 00:15:27, 130 ms (0%), 2177770 occupied, 22822094 free The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 31 terms Substitution of q32 by an expression in q56, q43, q30, q14, p9, p20 found in e_2400 : 11 factors in 5 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 : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q31 by an expression in q58, q56, q43, q14, p11, p9, p20 found in e_2442 : 13 factors in 5 terms Step 1244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2425 is a consequence of e_1776. 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 1 term e_1776 is a consequence of e_1925 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 1 term e_2599 is a consequence of e_1600. 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 3 terms e_2643 is a consequence of e_1600. 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 1 term 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 2 terms e_2370 is a consequence of e_1600. Step 1251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2566 is a consequence of e_2575. 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 1 term Step 1255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term Step 1263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms Step 1271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 3 terms e_2423 is a consequence of e_2575. Step 1273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 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 e_2224 is a consequence of e_2575. 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 e_1685 is a consequence of e_2574. 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 e_2620 is a consequence of e_2575. 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 e_2621 is a consequence of e_2575. 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 e_2390 is a consequence of e_2575. Step 1290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2623 is a consequence of e_2575. 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_2624 is a consequence of e_2575. 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 e_2519 is a consequence of e_2575. 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 2 terms e_2694 is a consequence of e_2575. 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 e_2695 is a consequence of e_1669. 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 1 term Step 1298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2437 is a consequence of e_2575. 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 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_1430 is a consequence of e_2346. 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 1 term Step 1310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 991 5-Oct-2003 00:15:31, 130 ms (0%), 2179738 occupied, 22820129 free shortening by 1 term Step 1313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 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 : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 39 terms Substitution of q30 by an expression in q58, q43, p11, p9, p20 found in e_1691 : 13 factors in 5 terms Step 1318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms Substitution of q44 by an expression in q56, q43, q15, p11, p9, p20 found in e_2370 : 15 factors in 5 terms Step 1319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 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 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 2 terms Step 1327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2694 is a consequence of e_2423. 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 2 terms Step 1330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term 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 1 term 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 1 term Step 1334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms Step 1344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 2 terms Step 1349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 1 term Step 1361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2621 is a consequence of e_2617. 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 e_2636 is a consequence of e_1668. 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 2 terms 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 3 terms 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 2 terms 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 3 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 1 term Step 1387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 26 terms e_1792 is a consequence of e_2159. Substitution of q15 by an expression in q58, q56, q43, p11, p9, p20 found in e_2676 : 16 factors in 5 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 1 term 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 : *** Garbage collection starting *** GC 992 5-Oct-2003 00:15:34, 130 ms (0%), 2178908 occupied, 22820958 free shortening by 1 term e_2723 is a consequence of e_2623. Step 1390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 46 terms The list of inequalities got extended by: An expression with 50 terms Substitution of q14 by an expression in q58, q56, q43, p11, p10, p20 found in e_1949 : 18 factors in 5 terms 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 e_2599 is a consequence of e_2680. 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 : The list of inequalities got extended by: An expression with 53 terms Substitution of q17 by an expression in q58, q56, q47, q43, p11, p10, p20 found in e_2558 : 17 factors in 5 terms Step 1397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 1403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 1407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 : shortening by 3 terms Step 1409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 : shortening by 3 terms 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 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 1419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 2 terms 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 3 terms 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 : shortening by 3 terms 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 1 term 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 : shortening by 3 terms 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 : shortening by 3 terms Step 1442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 2 terms 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 2 terms 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 : shortening by 1 term 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 : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 2 terms Step 1451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1648 is a consequence of e_1614. Step 1458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2433 is a consequence of e_1668. Step 1471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 993 5-Oct-2003 00:15:38, 130 ms (0%), 2176124 occupied, 22823739 free shortening by 1 term Step 1473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2640 is a consequence of e_2686 Step 1484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2695 is a consequence of e_2641. Step 1485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2517 is a consequence of e_2511. Step 1486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2153 is a consequence of e_1600. Step 1487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2167 is a consequence of e_1600. Step 1488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2637 is a consequence of e_1668. Step 1499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term Step 1509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_2686 and e_1427. e_1427: 0=(q38 - q50)*p11 is replaced by e_2136: 0=p11*q50 e_2136 is a consequence of e_2724. Step 1515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q24 from e_2511 and e_2557. e_2557: 0=(4*q24 + q38)*p9 is replaced by e_2479: 0=p9*q38 e_2641 is a consequence of e_2479 Step 1516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2621 is a consequence of e_1668. Step 1520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2675 is a consequence of e_1668. Step 1522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q50 from e_2717 and e_1687. e_1687: 0=(q38 - q50)*p9 is replaced by e_2677: 0=p9*q38 e_2677 is a consequence of e_2479. Step 1523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q50 from e_2724 and e_1606. e_1606: 0=(q37 + q50)*p11 is replaced by e_2571: 0=p11*q37 e_2571 is a consequence of e_1925. Step 1524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_2658 and e_2647. e_2647: 0=(q56 - 3*q58)*p9 is replaced by e_2676: 0=p9*q58 e_2676 is a consequence of e_2346. Step 1525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_2658 and e_996. e_996: 0=(q56 + 3*q58)*p9 is replaced by e_2599: 0=p9*q58 e_2599 is a consequence of e_2346. Step 1526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_2346 and e_2010. e_2010: 0=(4*q47 + 3*q58)*p9 is replaced by e_2716: 0=p9*q47 Step 1527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 1531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 994 5-Oct-2003 00:15:42, 130 ms (0%), 2175058 occupied, 22824803 free shortening by 1 term Step 1536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less 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_2346 and e_2605. e_2605: 0=(2*q43 + q58)*p9 is replaced by e_1338: 0=p9*q43 e_2153,e_2167,e_2623,e_2708,e_2680,e_2558,e_2695,e_2517,e_2617,e_1905 are consequences of e_1338 Step 1538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2602 is a consequence of e_2679. Step 1543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 2 terms Step 1548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 3 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 : --- Algebraic length reduction of equations : shortening by 3 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 : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 2 terms 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 2 terms 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 2 terms 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 e_2694 is a consequence of e_2374. 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 1 term e_2303 is a consequence of e_1691. 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 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 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 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 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 1 term 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 1 term 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 1 term 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 1 term 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 e_2519 is a consequence of e_2374. 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 e_2720 is a consequence of e_2374. 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 : --- Length reducing decoupling steps : Eliminate q43 from e_1437 and e_1830. e_1830: 0=(3*q43 + 2*q47)*p8 is replaced by e_2639: 0=p8*q47 e_2639 is a consequence of e_2581. 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 : --- Length reducing decoupling steps : Eliminate q34 from e_2362 and e_2608. e_2608: 0=(q34 + 3*q38)*p10 is replaced by e_1306: 0=p10*q38 e_1306 is a consequence of e_2575. 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 : --- Length reducing decoupling steps : Eliminate q24 from e_2316 and e_1738. e_1738: 0=(2*q24 + q50)*p8 is replaced by e_2714: 0=p8*q50 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 995 5-Oct-2003 00:15:46, 130 ms (0%), 2213095 occupied, 22786666 free Eliminate q58 from e_1669 and e_1668. e_1669: 0=(q56 + q58)*p8 is replaced by e_2643: 0=p8*q56 e_2627,e_1691 are consequences of e_2643 Step 1608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2646 is a consequence of e_2153. Step 1609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q46 by an expression in q58, q38, q24, q6, p8, p20 found in e_1939 : 12 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 32 terms Substitution of q50 by an expression in q58, q35, q24, q6, p8, p20 found in e_2401 : 12 factors in 5 terms Step 1613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms Substitution of q51 by an expression in q58, q34, q24, q6, p8, p20 found in e_2744 : 12 factors in 5 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 1 term 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 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 1 term Step 1627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2640 is a consequence of e_2374. Step 1633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1691 is a consequence of e_2374. Step 1642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2706 is a consequence of e_996. Step 1647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2566 is a consequence of e_1939. Step 1651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2604 is a consequence of e_2582. 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 e_2689 is a consequence of e_2582. 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 e_1310 is a consequence of e_2374. 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 1 term e_2732 is a consequence of e_2645. Step 1661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2740 is a consequence of e_2374. Step 1665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2620 is a consequence of e_2153. Step 1670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2711 is a consequence of e_2153. Step 1671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2136 is a consequence of e_2153. Step 1672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1427 is a consequence of e_2374. 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 : *** Garbage collection starting *** GC 996 5-Oct-2003 00:15:50, 130 ms (0%), 2166986 occupied, 22832881 free shortening by 1 term Step 1674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2643 and e_1668. e_1668: 0=(q56 - q58)*p8 is replaced by e_2567: 0=p8*q58 e_2557,e_2374,e_2153 are consequences of e_2567 Step 1676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q38 from e_2724 and e_2471. e_2471: 0=(q37 - 4*q38)*p8 is replaced by e_2659: 0=p8*q37 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 : --- Length reducing decoupling steps : Eliminate q38 from e_2724 and e_149. e_149: 0=(q38 + q6)*p8 is replaced by e_2508: 0=p8*q6 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 : --- Length reducing decoupling steps : Eliminate q6 from e_2508 and e_2677. e_2677: 0=(q34 + q6)*p8 is replaced by e_2698: 0=p8*q34 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 q34 from e_2698 and e_92. e_92: 0=(q34 + 3*q38)*p8 is replaced by e_2579: 0=p8*q38 e_2579 is a consequence of e_2724. Step 1683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q6 from e_2508 and e_2208. e_2208: 0=(q35 + q6)*p8 is replaced by e_2704: 0=p8*q35 e_2704 is a consequence of e_2676. Step 1684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1338 and e_2594. e_2594: 0=(q43 + q56 + q58)*p9 is replaced by e_2694: 0=(q56 + q58)*p9 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2658 and e_2694. e_2694: 0=(q56 + q58)*p9 is replaced by e_2024: 0=p9*q58 e_2024 is a consequence of e_2346. Step 1686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_1600 and e_2638. e_2638: 2 2 0=p10 *q38 - 5*p9 *q37 is replaced by e_2340: 0=p10*q38 e_2340 is a consequence of e_2575. Step 1687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q37 from e_1600 and e_2625. e_2625: 2 2 0=p10 *q38 - p9 *q37 is replaced by e_2619: 0=p10*q38 e_2619 is a consequence of e_2575. Step 1688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2721 and e_2679. e_2721: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q58,q56,q43,p11) is replaced by e_2626: 0=(6*q43 + q56)*p11 Step 1689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2626 and e_2679. e_2679: 0=(3*q43 - q56 - q58)*p11 is replaced by e_2675: 0=(9*q43 - q58)*p11 Step 1690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2626 and e_2589. e_2589: 0=(2*q43 - 2*q47 - q56)*p11 is replaced by e_2642: 0=(4*q43 - q47)*p11 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 1 term 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 1 term 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 1 term Step 1694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 997 5-Oct-2003 00:15:54, 130 ms (0%), 2178314 occupied, 22821472 free Eliminate q56 from e_2218 and e_1924. e_1924: 3 terms, 6 factors, with derivatives of functions of all variables: (q58,q56,q43,p11,p10) is replaced by e_91: 3 terms, 6 factors, with derivatives of functions of all variables: (q58,q43,p11,p10) Step 1695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_91 and e_574. e_91: 3 terms, 6 factors, with derivatives of functions of all variables: (q58,q43,p11,p10) is replaced by e_2640: 0=p11*q43 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 : shortening by 2 terms 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 : shortening by 2 terms 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 : shortening by 2 terms Step 1711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Length reducing decoupling steps : Eliminate q43 from e_2640 and e_2642. e_2642: 0=(4*q43 - q47)*p11 is replaced by e_2647: 0=p11*q47 Step 1738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 998 5-Oct-2003 00:15:58, 130 ms (0%), 2160828 occupied, 22839039 free 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 1 term Step 1753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 q43 from e_2640 and e_2675. e_2675: 0=(9*q43 - q58)*p11 is replaced by e_2297: 0=p11*q58 Step 1758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2450 is a consequence of e_2282. Step 1764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2700,e_1729,e_2624,e_2706,e_2690,e_2449,e_2604,e_2689,e_2282 are consequences of e_640 Step 1795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1020 is a consequence of e_2565. Step 1796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2153 is a consequence of e_2565. Step 1797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2739 is a consequence of e_640. Step 1806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2645 is a consequence of e_640. Step 1807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2673 is a consequence of e_2565. Step 1808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 999 5-Oct-2003 00:16:01, 130 ms (0%), 2156058 occupied, 22843811 free --- Length reducing decoupling steps : Eliminate q56 from e_640 and e_2626. e_2626: 0=(6*q43 + q56)*p11 is replaced by e_2442: 0=p11*q43 e_2442 is a consequence of e_2640. Step 1809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2565 and e_2443. e_2443: 0=(4*q47 - 7*q58)*p10 is replaced by e_2433: 0=p10*q47 Step 1810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q47 from e_2433 and e_2639. e_2639: 0=(2*q47 + q58)*p10 is replaced by e_2592: 0=p10*q58 e_2592 is a consequence of e_2565. Step 1811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2565 and e_2374. e_2374: 0=(3*q56 - 2*q58)*p10 is replaced by e_2617: 0=p10*q56 Step 1812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_1691. e_1691: 0=p10*(33*q56 + 17*q58) is replaced by e_2732: 0=p10*q58 e_2732 is a consequence of e_2565. Step 1813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_1738. e_1738: 0=(4*q43 - q56)*p10 is replaced by e_1905: 0=p10*q43 Step 1814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2556. e_2556: 0=(3*q43 + q58)*p10 is replaced by e_2708: 0=p10*q58 e_2708 is a consequence of e_2565. Step 1815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2707. e_2707: 0=(q43 + q56)*p10 is replaced by e_2731: 0=p10*q56 e_2731 is a consequence of e_2617. Step 1816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2340. e_2340: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q58,q56,q43,p10) is replaced by e_2392: 0=(11*q56 - 5*q58)*p10 Step 1817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2392. e_2392: 0=(11*q56 - 5*q58)*p10 is replaced by e_2730: 0=p10*q58 e_2730 is a consequence of e_2565. Step 1818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2600. e_2600: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q58,q56,q43,p10) is replaced by e_91: 0=(11*q56 - 5*q58)*p10 Step 1819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_91. e_91: 0=(11*q56 - 5*q58)*p10 is replaced by e_2729: 0=p10*q58 e_2729 is a consequence of e_2565. Step 1820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2621. e_2621: 0=(q43 + 2*q56 - 5*q58)*p10 is replaced by e_2159: 0=(2*q56 - 5*q58)*p10 Step 1821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2159. e_2159: 0=(2*q56 - 5*q58)*p10 is replaced by e_2671: 0=p10*q58 e_2671 is a consequence of e_2565. Step 1822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2677. e_2677: 0=(q43 - q56 + 6*q58)*p10 is replaced by e_2711: 0=(q56 - 6*q58)*p10 Step 1823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2711. e_2711: 0=(q56 - 6*q58)*p10 is replaced by e_2448: 0=p10*q58 e_2448 is a consequence of e_2565. Step 1824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2471. e_2471: 0=(2*q43 - 2*q56 - q58)*p10 is replaced by e_2675: 0=(2*q56 + q58)*p10 Step 1825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2675. e_2675: 0=(2*q56 + q58)*p10 is replaced by e_2696: 0=p10*q58 e_2696 is a consequence of e_2565. Step 1826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2010. e_2010: 0=(q43 - q56 - 2*q58)*p10 is replaced by e_2680: 0=(q56 + 2*q58)*p10 Step 1827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2680. e_2680: 0=(q56 + 2*q58)*p10 is replaced by e_2599: 0=p10*q58 e_2599 is a consequence of e_2565. Step 1828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2720. e_2720: 0=(4*q43 - q56 + q58)*p10 is replaced by e_1830: 0=(q56 - q58)*p10 Step 1829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_1830. e_1830: 0=(q56 - q58)*p10 is replaced by e_2338: 0=p10*q58 e_2338 is a consequence of e_2565. Step 1830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1905 and e_2301. e_2301: 0=(4*q43 - q56 - q58)*p10 is replaced by e_2391: 0=(q56 + q58)*p10 Step 1831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2617 and e_2391. e_2391: 0=(q56 + q58)*p10 is replaced by e_1596: 0=p10*q58 e_1596 is a consequence of e_2565. Step 1832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 1000 5-Oct-2003 00:16:07, 130 ms (0%), 2159583 occupied, 22840285 free factorizing e_2686 we get the alternative equations : 0=p11 0=q38 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2767 : 0=p11 e_2395,e_2585,e_1925,e_2725,e_2622,e_2569,e_2640,e_2647,e_2297,e_640 are consequences of e_2767 Step 1833: Hot list of urgent steps : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: g0035*p10 + g0036*p9 The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 31 terms e_2744 is a consequence of e_2575. e_2719 is a consequence of e_2575. e_2736 is a consequence of e_2265. Substitution of p11 found in e_2767 : p11=0 Step 1834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q43 from e_1338 and e_2576. e_2576: 0=(q43 + q58)*p9 is replaced by e_2198: 0=p9*q58 e_2198 is a consequence of e_2346. Step 1835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_2283 we get the alternative equations : 0=p10 0=q37 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_2641 : 0=p10 e_2611,e_2507,e_2574,e_2575,e_2362,e_2623,e_2718,e_2565,e_2433,e_2617,e_1905 are consequences of e_2641 Step 1836: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p10,p9,p8,p20 New ordering: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p10,p8,p9,p20 The list of inequalities got extended by: An expression with 22 terms e_2578 is a consequence of e_1600.e_2659 is a consequence of e_2578 Substitution of p10 found in e_2641 : p10=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 30 terms Substitution of q41 found in e_2265 : q41=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 21 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q6 found in e_2582 : q6=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 15 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q58 found in e_2346 : q58=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 13 terms 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 q56 found in e_2658 : q56=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 8 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q37 found in e_1600 : q37=0 Step 1842: Hot list 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 10 terms Substitution of q24 found in e_2511 : q24=0 Step 1843: Hot list 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 Substitution of q34 found in e_2498 : q34=0 Step 1844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q35 found in e_1654 : q35=0 Step 1845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q47,q43,q38,p8,p9,p20 New ordering: q47,q38,q43,p8,p9,p20 The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 3 terms Substitution of q38 found in e_2479 : q38=0 Step 1846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p8 found in e_1437 : p8=0 Step 1847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 3*g0083*p9 + g0097*p20 Substitution of q47 found in e_2716 : q47=0 Step 1848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q43=0 because of the non-vanishing expression: q43 The list of inequalities got extended by: g0028*p20 + g0032*p9 p20 Time: 0 ms Time: 0 ms Time: 10 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: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p10,p9,p8,p20 New ordering: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p9,p8,p10,p20 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2641 : 0=q37 e_2212,e_1600,e_2659 are consequences of e_2641 Step 1849: 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 30 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q37 found in e_2641 : q37=0 Step 1850: Hot list 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 q41 found in e_2507 : q41=0 Step 1851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q35 found in e_2574 : q35=0 Step 1852: Hot list 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 25 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q38 found in e_2575 : q38=0 Step 1853: Hot list 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 q34 found in e_2362 : q34=0 Step 1854: Hot list 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 23 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q6 found in e_2623 : q6=0 Step 1855: Hot list 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 13 terms Substitution of q24 found in e_2718 : q24=0 Step 1856: Hot list 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 16 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q58 found in e_2565 : q58=0 Step 1857: Hot list 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 Substitution of q47 found in e_2433 : q47=0 Step 1858: Hot list 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 q43 The list of inequalities got extended by: q56 The list of inequalities got extended by: 3*g0083*p9 + g0097*p20 Substitution of q56 found in e_2617 : q56=0 leads to a contradiction in : 0=q43 - q56 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p11,p10,p9,p8,p20 New ordering: q58,q56,q47,q43,q41,q38,q37,q35,q34,q24,q6,p10,p9,p8,p11,p20 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2767 : 0=q38 e_1614,e_2244,e_2575,e_2479,e_2724 are consequences of e_2767 Step 1859: Hot list of urgent steps : The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q38 found in e_2767 : q38=0 Step 1860: Hot list 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 q41 found in e_2395 : q41=0 Step 1861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 29 terms Substitution of q34 found in e_2585 : q34=0 Step 1862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q37 found in e_1925 : q37=0 Step 1863: Hot list 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 22 terms Substitution of q35 found in e_2725 : q35=0 Step 1864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q6 found in e_2622 : q6=0 Step 1865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q24 found in e_2569 : q24=0 Step 1866: Hot list 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 24 terms The list of inequalities got extended by: An expression with 13 terms e_2598 is a consequence of e_2297. Substitution of q43 found in e_2640 : q43=0 Step 1867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q47 found in e_2647 : q47=0 Step 1868: Hot list 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 10 terms q56 The list of inequalities got extended by: An expression with 4 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: q58,q56,p10,p9,p8,p11,p20 New ordering: q58,q56,p9,p8,p10,p11,p20 Substitution of q58 found in e_2297 : q58=0 Step 1869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0034*p11 + g0035*p10 The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 3 terms Substitution of p9 found in e_2658 : p9=0 Step 1870: Hot list 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: 3*g0084*p20 + 2*g0096*p11 Substitution of p8 found in e_2643 : p8=0 Step 1871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q56=0 because of the non-vanishing expression: q56 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: 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,p20,p16,p11,p10,p9,p8 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,p20,p11,p10,p9,p8,p16 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2571 : 0=q17 e_2227 is a consequence of e_2571 Step 1872: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms Substitution of q17 found in e_2571 : q17=0 Step 1873: Hot list 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 31 terms Substitution of q1 found in e_736 : q1=0 Step 1874: Hot list 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 q26 found in e_1663 : q26=0 Step 1875: Hot list 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 q25 found in e_1878 : q25=0 Step 1876: Hot list 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 q52 found in e_1839 : q52=0 Step 1877: Hot list 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_2391 is a consequence of e_1654. e_2389 is a consequence of e_2312. e_1729 is a consequence of e_2312. e_2433 is a consequence of e_1654. e_2449 is a consequence of e_1654. Substitution of q45 found in e_2197 : q45=0 Step 1878: Hot list 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_1289 is a consequence of e_2240. Substitution of q16 found in e_1654 : q16=0 Step 1879: Hot list 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 q18 found in e_2332 : q18=0 Step 1880: Hot list 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 q12 found in e_2346 : q12=0 Step 1881: Hot list 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 *** Garbage collection starting *** GC 1001 5-Oct-2003 00:16:16, 60 ms (0%), 1371178 occupied, 23628755 free Substitution of q11 found in e_2338 : q11=0 Step 1882: Hot list 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 found in e_574 : q40=0 Step 1883: Hot list 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 22 terms e_2386 is a consequence of e_2406. e_1761 is a consequence of e_2240. e_2023 is a consequence of e_2240. e_2115 is a consequence of e_2240. e_2450 is a consequence of e_2406. Substitution of q39 found in e_1924 : q39=0 Step 1884: Hot list 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_1979 is a consequence of e_2240. Substitution of q48 found in e_2312 : q48=0 Step 1885: Hot list 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_2560 is a consequence of e_2161. Substitution of q13 found in e_2397 : q13=0 Step 1886: Hot list 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 q22 found in e_2390 : q22=0 Step 1887: Hot list 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_2401 : q42=0 Step 1888: Hot list 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_2285 is a consequence of e_2240. e_1911 is a consequence of e_2359. e_2267 is a consequence of e_1673. Substitution of q19 found in e_2406 : q19=0 Step 1889: Hot list 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_2488 is a consequence of e_1776. Substitution of q14 found in e_2519 : q14=0 Step 1890: Hot list 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_2563 is a consequence of e_2075. Substitution of q15 found in e_2161 : q15=0 Step 1891: Hot list 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 q44 found in e_1338 : q44=0 Step 1892: Hot list 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_2559 is a consequence of e_1427. e_2521 is a consequence of e_1427. Substitution of q59 found in e_2514 : q59=0 Step 1893: Hot list 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 q33 found in e_1427 : q33=0 Step 1894: Hot list 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 q23 found in e_1430 : q23=0 Step 1895: Hot list 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_1781 is a consequence of e_2359. e_2028 is a consequence of e_1673. Substitution of q21 found in e_2240 : q21=0 Step 1896: Hot list 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 q53 found in e_2224 : q53=0 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 : The list of inequalities got extended by: An expression with 17 terms Substitution of q49 by an expression in q47, p8, p16 found in e_1865 : - 3*p8*q47 q49=------------- p16 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 : The list of inequalities got extended by: An expression with 17 terms Substitution of q27 by an expression in q24, p8, p16 found in e_1880 : - 4*p8*q24 q27=------------- p16 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 17 terms e_2450 is a consequence of e_1977. e_1924 is a consequence of e_2361. Substitution of q8 by an expression in q51, p10, p16 found in e_1760 : p10*q51 q8=--------- p16 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 17 terms e_1447 is a consequence of e_1583. e_1272 is a consequence of e_2361. Substitution of q10 by an expression in q51, p9, p16 found in e_1977 : p9*q51 q10=-------- p16 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 17 terms *** Garbage collection starting *** GC 1002 5-Oct-2003 00:16:19, 60 ms (0%), 1388280 occupied, 23611653 free Substitution of q5 by an expression in q51, p11, p16 found in e_2361 : p11*q51 q5=--------- p16 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 : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q36 by an expression in q7, p20, p16 found in e_2357 : 1 ---*p20*q7 2 q36=------------ p16 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 : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 27 terms e_2014 is a consequence of e_735. e_1364 is a consequence of e_735. e_2580 is a consequence of e_735. Substitution of q9 by an expression in q38, p10, p16 found in e_2349 : 1 - ---*p10*q38 2 q9=---------------- p16 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 : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q51 by an expression in q43, q24, p8, p16 found in e_261 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 19 terms e_2525,e_2450,e_1924 are consequences of e_1760 Substitution of q54 by an expression in q43, q24, p8, p16 found in e_1289 : 9 factors in 3 terms Step 1906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms e_1659 is a consequence of e_1668 Substitution of q20 by an expression in q47, q43, p8, p16 found in e_1868 : 8 factors in 3 terms Step 1907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q4 by an expression in q34, q7, p20, p11, p16 found in e_2419 : 10 factors in 3 terms Step 1908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q28 by an expression in q55, q43, p20, p9, p16 found in e_2530 : 12 factors in 4 terms Step 1909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 26 terms e_2563 is a consequence of e_1289 *** Garbage collection starting *** GC 1003 5-Oct-2003 00:16:22, 70 ms (0%), 1427694 occupied, 23572239 free Substitution of q2 by an expression in q34, q7, p20, p11, p16 found in e_1720 : 12 factors in 4 terms Step 1910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 38 terms Substitution of q57 by an expression in q58, q43, p11, p9, p16 found in e_2538 : 18 factors in 5 terms 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 25 terms Substitution of q50 by an expression in q47, q46, q43, q24, p8, p16 found in e_1872 : 15 factors in 5 terms Step 1912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 1919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 1 term 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 1 term Step 1925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 e_2538 is a consequence of e_2433. 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 2 terms e_2647 is a consequence of e_2433. Step 1928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms Step 1940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 1943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 1948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 1951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 1955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 : --- Algebraic length reduction of equations : shortening by 1 term e_2710 is a consequence of e_1669. 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 e_2733 is a consequence of e_2728. 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 : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 26 terms e_2739 is a consequence of e_2723. e_2735 is a consequence of e_2723. e_2736 is a consequence of e_2723. *** Garbage collection starting *** GC 1004 5-Oct-2003 00:16:26, 60 ms (0%), 1443058 occupied, 23556871 free Substitution of q7 by an expression in q34, p11, p10, p16 found in e_2734 : 10 factors in 3 terms Step 1975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term 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 1 term Step 1982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 2 terms Step 1994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 1996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 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 2 terms 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 2 terms 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 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 2 terms Step 2032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 2038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms e_2652 is a consequence of e_2728. Step 2042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 2047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 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 : *** Garbage collection starting *** GC 1005 5-Oct-2003 00:16:30, 70 ms (0%), 1433494 occupied, 23566434 free 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 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 : --- Length reducing decoupling steps : Eliminate q35 from e_2711 and e_2286. e_2286: 0=(q35 + q38)*p10 is replaced by e_2673: 0=p10*q38 e_2673 is a consequence of e_735. 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 : --- Length reducing decoupling steps : Eliminate q47 from e_1669 and e_1668. e_1668: 0=(q43 - q47)*p8 is replaced by e_2643: 0=p8*q43 e_2114,e_2615,e_2630 are consequences of e_2643 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_2471,e_2282,e_1925,e_2708 are consequences of e_2740 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 e_1694 is a consequence of e_2643. 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 e_2660 is a consequence of e_2643. 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 2 terms Step 2094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 2105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : --- 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 : shortening by 1 term Step 2133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2525 is a consequence of e_2643. 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 e_2660 is a consequence of e_2643. Step 2143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1786,e_2721 are consequences of e_1447 Step 2144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 1006 5-Oct-2003 00:16:33, 60 ms (0%), 1433310 occupied, 23566622 free --- 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 2 terms Step 2147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms Step 2156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2680 is a consequence of e_2643. Step 2160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 e_2704 is a consequence of e_2643. 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_2705 is a consequence of e_2737. 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 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 e_2028 is a consequence of e_2643. e_2028 is a consequence of e_2617. 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 e_2620 is a consequence of e_2643. 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 2 terms e_2714 is a consequence of e_2643. e_2714 is a consequence of e_2617. Step 2172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2662 is a consequence of e_2643. e_2662 is a consequence of e_2617. 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 2 terms e_2580 is a consequence of e_2643. e_2580 is a consequence of e_2617. 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_2372 is a consequence of e_2643. 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 2 terms e_2433 is a consequence of e_2643. Step 2176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 2179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 2181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2361 is a consequence of e_2643. Step 2182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 2189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2615 is a consequence of e_2643. Step 2193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 e_2192 is a consequence of e_2391. 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 : shortening by 1 term Step 2197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2707 is a consequence of e_2643. Step 2207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2663 is a consequence of e_2643. Step 2208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2630 is a consequence of e_2643. 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 1 term e_1924 is a consequence of e_2643. Step 2210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term 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 : shortening by 1 term e_1659 is a consequence of e_2643. Step 2218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2705 is a consequence of e_2643. Step 2223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_321 is a consequence of e_2643. Step 2231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1684 is a consequence of e_2643. Step 2232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1878 is a consequence of e_2643. Step 2234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2681 is a consequence of e_2643. Step 2240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2425 is a consequence of e_2643. Step 2241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 29 terms e_1822 is a consequence of e_2643. e_1694 is a consequence of e_2643. e_2471 is a consequence of e_2643. e_2733 is a consequence of e_2643. e_2672 is a consequence of e_2643. e_2641 is a consequence of e_2643. e_2442 is a consequence of e_2643. e_2658 is a consequence of e_2643. Substitution of q3 by an expression in q43, p11, p10, p8, p16 found in e_2719 : 11 factors in 3 terms Step 2243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2682 is a consequence of e_2643. 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 1 term e_2361 is a consequence of e_2643. 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 e_1654 is a consequence of e_2643. Step 2249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 45 terms Substitution of q35 by an expression in q46, q38, q24, q6, p20, p16 found in e_2563 : 16 factors in 5 terms 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 : *** Garbage collection starting *** GC 1007 5-Oct-2003 00:16:37, 60 ms (0%), 1416870 occupied, 23583062 free --- Algebraic length reduction of equations : shortening by 1 term Step 2254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2636 is a consequence of e_2284. Step 2258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2630 is a consequence of e_1672. Step 2263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2655 is a consequence of e_2288. Step 2266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2735 is a consequence of e_1445. 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 q38 from e_2715 and e_2725. e_2725: 0=(4*q24 + q38)*p9 is replaced by e_2198: 0=p9*q24 e_2198 is a consequence of e_2709. 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 : Eliminate q38 from e_2599 and e_92. e_92: 0=(q34 + 3*q38)*p8 is replaced by e_2594: 0=p8*q34 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 1008 5-Oct-2003 00:16:41, 80 ms (0%), 1446776 occupied, 23553110 free Eliminate q31 from e_836 and e_2234. e_2234: 0=(2*q29 - q31 + 2*q32)*p9 is replaced by e_84: 0=(q29 + q32)*p9 Step 2270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 1009 5-Oct-2003 00:16:46, 60 ms (0%), 1419581 occupied, 23580282 free Eliminate q43 from e_1977 and e_2691. e_1977: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q43,q32,p10,p9,p16) is replaced by e_2586: 0=p9*q32 Step 2272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1886 is a consequence of e_2633. Step 2279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2705 is a consequence of e_2666. 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 : Eliminate q32 from e_2586 and e_84. e_84: 0=(q29 + q32)*p9 is replaced by e_2660: 0=p9*q29 Step 2282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1786 is a consequence of e_2716. Step 2283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q29 from e_2660 and e_1478. e_1478: 0=(q29 + q55)*p9 is replaced by e_2495: 0=p9*q55 Step 2285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2652,e_1780,e_2617,e_2716 are consequences of e_2673 Step 2287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 48 terms Substitution of q32 by an expression in q56, q43, q30, p11, p10, p16 found in e_1694 : 16 factors in 5 terms Step 2299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 2310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 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 2 terms Step 2319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2745 is a consequence of e_2643. Step 2326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_2629 and e_2528. e_2528: 0=(q29 - q30 - q31)*p11 is replaced by e_2357: 0=(q29 - q31)*p11 Step 2331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1010 5-Oct-2003 00:16:50, 70 ms (0%), 1418250 occupied, 23581682 free shortening by 1 term Step 2332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2737 and e_2698. e_2698: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q56,q55,p20 ,p20,p9,p16) is replaced by e_1600: (#) 4 terms, 5 factors, with derivatives of functions of all variables: 2 2 (q55,p20 ,p20,p16 ,p16) Step 2333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2737 and e_2372. e_2372: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q56,q55,p20 ,p20,p9,p16) is replaced by e_1364: 2 2 0=q55*(24*p16 - p20 ) Step 2334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_1853 and e_2648. e_2648: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q58,q55,p20 ,p20,p9,p16) is replaced by e_2556: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 2 (q55,p20 ,p20,p16 ,p16) Step 2335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_1853 and e_2647. e_2647: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q58,q55,p20 ,p20,p9,p16) is replaced by e_2725: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 2 (q55,p20 ,p20,p16 ,p16) Step 2336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1011 5-Oct-2003 00:16:55, 70 ms (0%), 1444727 occupied, 23555170 free Eliminate q58 from e_2663 and e_2726. e_2663: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q58,q43,q31,p11 ,p11,p9,p16) is replaced by e_92: 0=p11*q31 Step 2337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_92 and e_2357. e_2357: 0=(q29 - q31)*p11 is replaced by e_1668: 0=p11*q29 Step 2343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2628 is a consequence of e_1427. Step 2346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2732 is a consequence of e_1427. Step 2347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 0 terms Step 2351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2419 is a consequence of e_2684. Step 2353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2530 is a consequence of e_644. 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2532 and e_2691. e_2691: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q58,q56,q43,p11 ,p11,p10,p9 ,p9) is replaced by e_1830: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q56,q43,p11 ,p11,p10,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2684 and e_2656. e_2656: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q58,q56,q43,p11 ,p11,p10 ,p10,p9) is replaced by e_2705: (#) 6 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q56,q43,p11 ,p11,p10 ,p10) e_2705 is a consequence of e_2722. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1012 5-Oct-2003 00:16:59, 70 ms (0%), 1427700 occupied, 23572162 free Eliminate q58 from e_644 and e_2651. e_2651: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q58,q43,q29,p11,p10,p9,p16) is replaced by e_84: 0=p10*q29 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2742 and e_2695. e_2695: (#) 5 terms, 11 factors, with derivatives of functions of all variables: 2 (q58,q56,q43,p11,p10 ,p10,p9) is replaced by e_2348: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q58,q43,p11,p10,p9) e_2348 is a consequence of e_644. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1013 5-Oct-2003 00:17:05, 70 ms (0%), 1438178 occupied, 23561708 free Eliminate q56 from e_1592 and e_1422. e_1422: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q56,q47,q43,q30,q29,p20,p10,p16) is replaced by e_2666: 6 terms, 12 factors, with derivatives of functions of all variables: (q58,q47,q43,q30,q29,p20,p10,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1014 5-Oct-2003 00:17:11, 70 ms (0%), 1421722 occupied, 23578150 free Eliminate q58 from e_2299 and e_2002. e_2002: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q56,q43,q31,q29,p20,p11,p10,p16) is replaced by e_2716: 4 terms, 8 factors, with derivatives of functions of all variables: (q56,q43,q29,p20,p10,p16) 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2716 and e_1592. e_2716: 4 terms, 8 factors, with derivatives of functions of all variables: (q56,q43,q29,p20,p10,p16) is replaced by e_2706: 0=p10*q43 - 2*p16*q29 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 : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 48 terms e_1668 is a consequence of e_84. e_2660 is a consequence of e_84. e_2660 is a consequence of e_2673. Substitution of q29 by an expression in q43, p10, p16 found in e_2706 : 1 ---*p10*q43 2 q29=------------- p16 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 e_2721 is a consequence of e_321 Step 2365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1684 is a consequence of e_84. Step 2366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2520 is a consequence of e_2664. Step 2373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 2377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 2380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 1 term 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 3 terms e_2371 is a consequence of e_84. Step 2384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms Step 2396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 1 term Step 2400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 1 term e_2571 is a consequence of e_2593 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 1 term 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 2 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 1 term 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 1 term 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 2 terms Step 2410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 50 terms Substitution of q31 by an expression in q58, q55, p20, p10, p16 found in e_2614 : 12 factors in 4 terms Step 2413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms Step 2419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2565 is a consequence of e_2589. Step 2421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1822,e_2630 are consequences of e_2372 Step 2422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2198 is a consequence of e_2261. Step 2424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1977 is a consequence of e_2730. Step 2436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1015 5-Oct-2003 00:17:15, 60 ms (0%), 1421980 occupied, 23577891 free Eliminate q56 from e_2286 and e_2732. e_2732: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q56,q55,p20 ,p20,p11,p16 ,p16) is replaced by e_2419: (#) 4 terms, 5 factors, with derivatives of functions of all variables: 2 2 (q55,p20 ,p20,p16 ,p16) Step 2442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q47 from e_2648 and e_2663. e_2663: 3 terms, 6 factors, with derivatives of functions of all variables: (q56,q47,q30,p20,p10,p9) is replaced by e_2530: 0=3*p20*q30 + 2*p9*q56 Step 2443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2530 and e_1663. e_1663: 3 terms, 6 factors, with derivatives of functions of all variables: (q56,q30,p20,p9,p16) is replaced by e_2705: 0=q30*(8*p16 - p20) 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2530 and e_1886. e_1886: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q56,q55,q30,p20 ,p20,p9,p16) is replaced by e_1425: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q55,q30,p20 ,p20,p16) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2532 and e_2688. e_2688: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q58,q56,q55,q30,p20 ,p20,p9,p16) is replaced by e_2568: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q56,q55,q30,p20 ,p20,p9,p16) 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2530 and e_2568. e_2568: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q56,q55,q30,p20 ,p20,p9,p16) is replaced by e_2738: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q55,q30,p20 ,p20,p16) e_2738 is a consequence of e_1425. 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2286 and e_2680. e_2680: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q56,q55,q47,p20 ,p20,p11,p10,p16) is replaced by e_1478: 0=2*p10*q47 + p20*q55 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1478 and e_2727. e_2727: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q55,q47,p20 ,p20,p10,p16) is replaced by e_2695: 0=q47*(4*p16 - p20)*p10 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 : --- Length reducing decoupling steps : Eliminate q47 from e_2648 and e_1478. e_1478: 0=2*p10*q47 + p20*q55 is replaced by e_1422: 0=(q30 + 2*q55)*p20 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2737 and e_2716. e_2716: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q58,q56,q55,p20 ,p20,p11,p9,p16) is replaced by e_1668: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q58,q55,p20 ,p20,p11,p9,p16 ,p16) 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 : --- Length reducing decoupling steps : Eliminate q56 from e_2530 and e_2737. e_2737: 3 terms, 6 factors, with derivatives of functions of all variables: (q56,q55,p20,p9,p16) is replaced by e_2660: 3 terms, 6 factors, with derivatives of functions of all variables: (q55,q30,p20,p16) 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1422 and e_2286. e_2286: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q56,q55,p20 ,p20,p11,p16) is replaced by e_2677: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q56,q30,p20 ,p20,p11,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1016 5-Oct-2003 00:17:21, 70 ms (0%), 1413061 occupied, 23586869 free Eliminate q58 from e_1853 and e_2605. e_2605: 6 terms, 12 factors, with derivatives of functions of all variables: (q58,q55,q47,q30,p20,p11,p9,p16) is replaced by e_2721: 5 terms, 10 factors, with derivatives of functions of all variables: (q55,q47,q30,p20,p11,p16) 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1422 and e_2400. e_2400: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q58,q56,q55,q30,p20 ,p20,p11,p9,p16) is replaced by e_1427: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q58,q56,q30,p20 ,p20,p11,p9,p16) 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 : --- Length reducing decoupling steps : Eliminate q55 from e_1422 and e_2653. e_2653: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q58,q55,q47,p20 ,p20,p11,p10,p9,p16) is replaced by e_2714: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q58,q47,q30,p20 ,p20,p11,p10,p9,p16) 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_2261 we get the alternative equations : 0=p11 0=q55 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2787 : 0=p11 e_2425,e_2284,e_2395,e_2659,e_1447,e_2713,e_2028,e_2689,e_2629,e_2580 are consequences of e_2787 Step 2459: Hot list of urgent steps : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: g0035*p10 + g0036*p9 The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 38 terms e_2686 is a consequence of e_2657. e_1654 is a consequence of e_1925. e_2614 is a consequence of e_735. e_2449 is a consequence of e_735. e_2538 is a consequence of e_2265. e_2636 is a consequence of e_1445. e_2649 is a consequence of e_2620. Substitution of p11 found in e_2787 : p11=0 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 e_2717 is a consequence of e_2297 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 e_2746 is a consequence of e_2712. 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 e_2569 is a consequence of e_2633. Step 2463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2695 is a consequence of e_2650 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 : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 40 terms e_2733 is a consequence of e_1776. e_2720 is a consequence of e_2495. *** Garbage collection starting *** GC 1017 5-Oct-2003 00:17:28, 70 ms (0%), 1415045 occupied, 23584887 free Substitution of q30 by an expression in q55, p20, p16 found in e_2707 : 9 factors in 3 terms Step 2468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms e_1868 is a consequence of e_2690 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 2 terms e_2631 is a consequence of e_2297. 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 0 terms e_2656 is a consequence of e_2297. 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 0 terms e_2651 is a consequence of e_2297. 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 e_1780,e_2297 are consequences of e_1886 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 e_2589 is a consequence of e_1786 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 3 terms e_2556,e_2725,e_2665,e_2663,e_1600,e_1364,e_2724,e_2391,e_2697,e_2690,e_1776, e_2495,e_1886,e_1786 are consequences of e_2568 Step 2480: Hot list 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 The list of inequalities got extended by: An expression with 31 terms Substitution of q55 found in e_2568 : q55=0 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2712 and e_2532. e_2532: 0=(q56 - q58)*p9 is replaced by e_2738: 0=p9*q56 e_2738 is a consequence of e_2633. 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1445 we get the alternative equations : 0=p9 0=q46 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_2737 : 0=p9 e_2265,e_2582,e_2709,e_2701,e_2715,e_2710,e_2673,e_2633,e_2712,e_1729 are consequences of e_2737 Step 2483: Hot list of urgent steps : 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: q58,q56,q47,q46,q43,q41,q38,q37,q34,q24,q6,p20,p10,p9,p8,p16 New ordering: q58,q56,q47,q46,q43,q41,q38,q37,q34,q24,q6,p20,p9,p8,p10,p16 The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 25 terms e_2706 is a consequence of e_2650.e_1669 is a consequence of e_2706 e_2595 is a consequence of e_2288.e_1672 is a consequence of e_2595 Substitution of p9 found in e_2737 : p9=0 Step 2484: Hot list 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 24 terms Substitution of q46 found in e_2288 : q46=0 Step 2485: Hot list 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_2507 : q41=0 Step 2486: Hot list 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 16 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q38 found in e_735 : q38=0 Step 2487: Hot list 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 13 terms The list of inequalities got extended by: An expression with 13 terms e_2286 is a consequence of e_2639. Substitution of q24 found in e_2702 : q24=0 Step 2488: Hot list 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 9 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q34 found in e_1925 : q34=0 Step 2489: Hot list 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 8 terms The list of inequalities got extended by: An expression with 10 terms e_2739 is a consequence of e_2657.e_2289 is a consequence of e_2739 Substitution of q6 found in e_2639 : q6=0 Step 2490: Hot list 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 Substitution of q37 found in e_2657 : q37=0 Step 2491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q43 found in e_84 : q43=0 Step 2492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 2 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q56 found in e_321 : q56=0 Step 2493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p8 q47 The list of inequalities got extended by: g0028*p20 + g0031*p10 The list of inequalities got extended by: An expression with 3 terms Substitution of q58 found in e_2372 : q58=0 Step 2494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q47=0 because of the non-vanishing expression: q47 Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q58,q56,q47,q46,q43,q41,q38,q37,q34,q24,q6,p20,p10,p9,p8,p16 New ordering: q58,q56,q47,q46,q43,q41,q38,q37,q34,q24,q6,p20,p10,p8,p9,p16 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_2737 : 0=q46 e_2745,e_1672,e_2288 are consequences of e_2737 Step 2495: 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 30 terms Substitution of q46 found in e_2737 : q46=0 Step 2496: Hot list 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_2265 : q41=0 Step 2497: Hot list 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 19 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q6 found in e_2582 : q6=0 Step 2498: Hot list 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 15 terms The list of inequalities got extended by: An expression with 16 terms e_2605 is a consequence of e_2715. Substitution of q24 found in e_2709 : q24=0 Step 2499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 14 terms e_2739 is a consequence of e_2710.e_2657,e_2289 are consequences of e_2739 Substitution of q34 found in e_2701 : q34=0 Step 2500: Hot list 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 The list of inequalities got extended by: An expression with 12 terms Substitution of q38 found in e_2715 : q38=0 Step 2501: Hot list 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 Substitution of q37 found in e_2710 : q37=0 Step 2502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q43 found in e_2673 : q43=0 Step 2503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 2 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q56 found in e_2633 : q56=0 Step 2504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p8 q47 The list of inequalities got extended by: p10 The list of inequalities got extended by: g0028*p20 + g0031*p10 + g0032*p9 The list of inequalities got extended by: An expression with 3 terms Substitution of q58 found in e_2712 : q58=0 Step 2505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q47=0 because of the non-vanishing expression: q47 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q58,q56,q55,q47,q46,q43,q41,q38,q37,q34,q30,q24,q6,p20,p11,p10,p9, p8,p16 New ordering: q58,q56,q55,q47,q46,q43,q41,q38,q37,q34,q30,q24,q6,p20,p10,p9,p8, p11,p16 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_2787 : 0=q55 e_2556,e_2725,e_1600,e_1364,e_2419,e_2589,e_1780,e_1776,e_2495 are consequences of e_2787 Step 2506: 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 30 terms The list of inequalities got extended by: An expression with 45 terms e_2633 is a consequence of e_2629. e_2686 is a consequence of e_2629.e_2234 is a consequence of e_1654 e_2538 is a consequence of e_2425. Substitution of q55 found in e_2787 : q55=0 Step 2507: Hot list 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 44 terms Substitution of q46 found in e_2284 : q46=0 Step 2508: Hot list 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 q41 found in e_2395 : q41=0 Step 2509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q38 found in e_2659 : q38=0 Step 2510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q34 found in e_1447 : q34=0 Step 2511: Hot list 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 16 terms The list of inequalities got extended by: An expression with 15 terms e_1924 is a consequence of e_2028. Substitution of q24 found in e_2713 : q24=0 Step 2512: Hot list 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 15 terms The list of inequalities got extended by: An expression with 14 terms e_1880 is a consequence of e_2689.e_2392,e_2710,e_2657,e_2289 are consequences of e_1880 Substitution of q6 found in e_2028 : q6=0 Step 2513: Hot list 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 13 terms Substitution of q37 found in e_2689 : q37=0 Step 2514: Hot list 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 21 terms e_2695 is a consequence of e_2648 e_1669,e_2614,e_2648 are consequences of e_261 e_2593,e_2498,e_321,e_2530 are consequences of e_2677 e_2630 is a consequence of e_2425. Substitution of q30 found in e_2629 : q30=0 Step 2515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q43 found in e_2580 : q43=0 Step 2516: Hot list 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: g0049*q56 + g0050*q58 p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q58,q56,q47,p20,p10,p9,p8,p11,p16 New ordering: q58,q56,q47,p20,p9,p8,p10,p11,p16 e_2714 is a consequence of e_2372. e_2357 is a consequence of e_2372.e_2729,e_2425,e_2670,e_2726,e_2661,e_1654 are consequences of e_2357 Substitution of q47 found in e_261 : q47=0 Step 2517: Hot list 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: q56 The list of inequalities got extended by: q58 Substitution of q58 found in e_2372 : q58=0 leads to a contradiction in : 0=q56 + q58 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: p5 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2599 : 0=q22 e_2390 is a consequence of e_2599 Step 2518: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms e_166,e_696,e_1186 are consequences of e_1614 *** Garbage collection starting *** GC 1018 5-Oct-2003 00:17:38, 50 ms (0%), 1373039 occupied, 23626908 free Substitution of q22 found in e_2599 : q22=0 Step 2519: Hot list 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 q54 found in e_96 : q54=0 Step 2520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_2431 is a consequence of e_1666. e_2477 is a consequence of e_1666. Substitution of q33 found in e_3 : q33=0 Step 2521: Hot list 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 q18 found in e_2198 : q18=0 Step 2522: Hot list 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 q26 found in e_2208 : q26=0 Step 2523: Hot list 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 q11 found in e_1896 : q11=0 Step 2524: Hot list 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 q46 found in e_2334 : q46=0 Step 2525: Hot list 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_1417 is a consequence of e_1932. e_1417 is a consequence of e_1878. e_1742 is a consequence of e_1932. Substitution of q52 found in e_2192 : q52=0 Step 2526: Hot list 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_2220 is a consequence of e_2386. e_2371 is a consequence of e_2386. Substitution of q25 found in e_1932 : q25=0 Step 2527: Hot list 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 q41 found in e_2348 : q41=0 Step 2528: Hot list 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 q13 found in e_2367 : q13=0 Step 2529: Hot list 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 q15 found in e_2380 : q15=0 Step 2530: Hot list 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 q43 found in e_2385 : q43=0 Step 2531: Hot list 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 28 terms Substitution of q1 found in e_2386 : q1=0 Step 2532: Hot list 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_2512 is a consequence of e_2392. e_2106 is a consequence of e_2392. e_2014 is a consequence of e_2392. Substitution of q16 found in e_1729 : q16=0 Step 2533: Hot list 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 20 terms Substitution of q39 found in e_2389 : q39=0 Step 2534: Hot list 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_690 is a consequence of e_2301. e_2528 is a consequence of e_2301. e_1649 is a consequence of e_2301. e_584 is a consequence of e_2439. e_2515 is a consequence of e_2301. Substitution of q49 found in e_2391 : q49=0 Step 2535: Hot list 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_2532 is a consequence of e_1830. e_2559 is a consequence of e_2372. e_2560 is a consequence of e_2372. e_2540 is a consequence of e_1830. e_1822 is a consequence of e_1600. e_735 is a consequence of e_1600. Substitution of q45 found in e_2392 : q45=0 Step 2536: Hot list 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 q17 found in e_2398 : q17=0 Step 2537: Hot list 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_2574 is a consequence of e_1908. e_2575 is a consequence of e_1614. Substitution of q50 found in e_2400 : q50=0 Step 2538: Hot list 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_2595 is a consequence of e_2527. Substitution of q19 found in e_1830 : q19=0 Step 2539: Hot list 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 q12 found in e_2297 : q12=0 Step 2540: Hot list 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 q47 found in e_2439 : q47=0 Step 2541: Hot list 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_2597 is a consequence of e_1600. e_2326 is a consequence of e_2524. Substitution of q48 found in e_2372 : q48=0 Step 2542: Hot list 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_2194 is a consequence of e_2562. Substitution of q20 found in e_2301 : q20=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 14 terms Substitution of q40 found in e_2498 : q40=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 13 terms Substitution of q59 found in e_1666 : q59=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 12 terms Substitution of q42 found in e_1722 : q42=0 Step 2546: Hot list 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_3 is a consequence of e_2562. Substitution of q27 found in e_1614 : q27=0 Step 2547: Hot list 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 q24 found in e_2562 : q24=0 Step 2548: Hot list 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_2519 is a consequence of e_1792 e_1608 is a consequence of e_1792. Substitution of q44 by an expression in q14 found in e_1026 : 1 q44=---*q14 3 Step 2549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 1019 5-Oct-2003 00:17:41, 60 ms (0%), 1390027 occupied, 23609915 free The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q14 found in e_1792 : q14=0 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 : The list of inequalities got extended by: An expression with 12 terms e_2592 is a consequence of e_2427. Substitution of q53 by an expression in q23, q21 found in e_2426 : 7 factors in 3 terms Step 2551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q23 by an expression in q21 found in e_2427 : 1 q23= - ---*q21 4 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 : The list of inequalities got extended by: An expression with 11 terms e_2380 is a consequence of e_1742. e_2385 is a consequence of e_1742. e_2075 is a consequence of e_1742. e_2361 is a consequence of e_2254. e_1977 is a consequence of e_1600. e_1760 is a consequence of e_2275. Substitution of q51 by an expression in q21, p16, p5 found in e_2336 : p16*q21 q51=--------- p5 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 : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 11 terms e_1917 is a consequence of e_1600. e_2335 is a consequence of e_2254. e_1326 is a consequence of e_2275. Substitution of q37 by an expression in q21, p20, p5 found in e_2154 : p20*q21 q37=--------- p5 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 27 terms e_2389 is a consequence of e_2531. e_1404 is a consequence of e_2531. Substitution of q28 by an expression in q30, p9, p5 found in e_2309 : 2 ---*p9*q30 9 q28=------------ p5 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 16 terms The list of inequalities got extended by: An expression with 27 terms e_1649 is a consequence of e_2528. e_2524 is a consequence of e_2275. e_584 is a consequence of e_2254. e_2515 is a consequence of e_2275. Substitution of q10 by an expression in q21, p9, p5 found in e_1600 : p9*q21 q10=-------- p5 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 27 terms e_2527 is a consequence of e_2254. e_2557 is a consequence of e_2254. Substitution of q8 by an expression in q21, p10, p5 found in e_2275 : p10*q21 q8=--------- p5 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q5 by an expression in q21, p11, p5 found in e_2254 : p11*q21 q5=--------- p5 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 : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q29 by an expression in q57, q55, p10, p5 found in e_1995 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q38 by an expression in q9, q6, p20, p16, p9, p5 found in e_1916 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 32 terms *** Garbage collection starting *** GC 1020 5-Oct-2003 00:17:45, 60 ms (0%), 1409891 occupied, 23590049 free Substitution of q32 by an expression in q57, q31, p11, p9, p5 found in e_1925 : 8 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 35 terms Substitution of q34 by an expression in q21, q7, q4, q2, p20, p5 found in e_1732 : 10 factors in 5 terms 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 1 term 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 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term Step 2569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 : shortening by 1 term Step 2572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 2590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 37 terms e_2352 is a consequence of e_2591. Substitution of q36 by an expression in q7, p11, p9, p5 found in e_1447 : 14 factors in 4 terms Step 2606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1021 5-Oct-2003 00:17:48, 70 ms (0%), 1417573 occupied, 23582366 free shortening by 2 terms Step 2629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2335 is a consequence of e_2513. Step 2630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 40 terms Substitution of q31 by an expression in q57, p11, p10, p5 found in e_1896 : 8 factors in 3 terms Step 2635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 40 terms e_2540 is a consequence of e_2531. e_1916 is a consequence of e_2531. e_1732 is a consequence of e_2531. e_2597 is a consequence of e_2531. Substitution of q55 by an expression in q30, p9, p5 found in e_2511 : 2 ---*p9*q30 9 q55=------------ p5 Step 2642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 Step 2646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 40 terms e_2254 is a consequence of e_2459. e_2505 is a consequence of e_2513. e_2605 is a consequence of e_1430. e_1780 is a consequence of e_2349. Substitution of q35 by an expression in q9, p16, p5 found in e_735 : - 2*p16*q9 q35=------------- p5 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 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 2 terms Step 2659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 3 terms 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 2 terms 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 : --- 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 2 terms 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 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 2 terms Step 2670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms 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 1 term Step 2678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1022 5-Oct-2003 00:17:52, 60 ms (0%), 1435593 occupied, 23564347 free 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 2 terms 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 2 terms 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 3 terms 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 1 term e_2540 is a consequence of e_2531. 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 e_2511 is a consequence of e_2531. 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 1 term 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 1 term 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_2585 is a consequence of e_2531. 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_2626 is a consequence of e_2531. Step 2701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 Step 2708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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_2567 is a consequence of e_2459. 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_1422 is a consequence of e_1430. Step 2712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 3 terms 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 2 terms e_2589 is a consequence of e_2459. 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 2 terms e_2596 is a consequence of e_2227. 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 2 terms e_2519 is a consequence of e_2459. 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 2 terms 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 2 terms 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 2 terms Step 2729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 2 terms 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 e_2516 is a consequence of e_2349. 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 2 terms e_2539 is a consequence of e_2606. 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 2 terms 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 2 terms 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 4 terms 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 4 terms e_2617 is a consequence of e_2620. 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 2 terms Step 2751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 3 terms 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 2 terms e_2562 is a consequence of e_2614. 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 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 4 terms 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 2 terms 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 3 terms 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 3 terms 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 2 terms 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 e_2523 is a consequence of e_2349. Step 2771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1427,e_1923,e_2540 are consequences of e_2624 Step 2785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2626 is a consequence of e_2516. Step 2787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 1 term Step 2797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 1023 5-Oct-2003 00:17:56, 60 ms (0%), 1426473 occupied, 23573468 free 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 1 term Step 2804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Length reducing decoupling steps : Eliminate q56 from e_696 and e_2340. e_2340: 0=(q56 - q58)*p9 is replaced by e_2599: 0=p9*q58 e_2599 is a consequence of e_1977. 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 : --- Length reducing decoupling steps : Eliminate q30 from e_2516 and e_2012. e_2516: 0=p11*q6 + 18*p8*q30 is replaced by e_1776: 0=p11*q6 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 1 term Step 2810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2334 is a consequence of e_2606. 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 4 terms e_2527,e_2510,e_2625,e_2596,e_2606,e_2355 are consequences of e_2375 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_2174 is a consequence of e_2567. 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 11 terms 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 4 terms 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 3 terms 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 3 terms 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 : *** Garbage collection starting *** GC 1024 5-Oct-2003 00:18:01, 70 ms (0%), 1429107 occupied, 23570834 free shortening by 5 terms Step 2821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 3 terms 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 3 terms Step 2826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 6 terms Step 2829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms 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 6 terms 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 4 terms 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 6 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 3 terms 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 4 terms 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 3 terms 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 3 terms 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 3 terms 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 6 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1025 5-Oct-2003 00:18:06, 70 ms (0%), 1460248 occupied, 23539643 free Eliminate q9 from e_2624 and e_2610. e_2610: 2 0=4*p16 *q9 + p20*p5*q6 is replaced by e_1427: 0=p20*q6 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2391. e_2391: 0=(q2 + q21 + q4)*p8*p20 is replaced by e_1722: 0=p20*p8*q4 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2223. e_2223: (#) 5 terms, 11 factors, with derivatives of functions of all variables: 2 (q21,q4,q2,p20 ,p20,p16) is replaced by e_1925: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q4,q2,p20 ,p20,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1026 5-Oct-2003 00:18:12, 70 ms (0%), 1460610 occupied, 23539269 free Eliminate q57 from e_2265 and e_2378. e_2378: 7 terms, 28 factors, with derivatives of functions of all variables: 2 3 2 (q57,q30,p11 ,p11,p10,p5 ,p5 ,p5) is replaced by e_2146: 0=q30*(3*p10 - p11 + p5) 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2616 and e_2515. e_2515: 5 terms, 25 factors, with derivatives of functions of all variables: 3 4 3 (q57,q30,p11 ,p11,p10,p5 ,p5 ,p5) is replaced by e_2505: 0=q30*(p11 - p5) 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2265 and e_2297. e_2297: 6 terms, 30 factors, with derivatives of functions of all variables: 3 2 3 2 (q57,q30,p11 ,p11 ,p11,p10,p5 ,p5 ,p5) is replaced by e_1896: 0=q30*(4*p10 - 5*p11) 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 : *** Garbage collection starting *** GC 1027 5-Oct-2003 00:18:17, 70 ms (0%), 1422413 occupied, 23577528 free shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2265 and e_2426. e_2426: 7 terms, 35 factors, with derivatives of functions of all variables: 3 2 4 3 2 (q57,q30,p11 ,p11 ,p11,p10,p5 ,p5 ,p5 ,p5) is replaced by e_2600: 0=q30*(p10 - p11 + p5) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1916 and e_1404. e_1404: 4 terms, 8 factors, with derivatives of functions of all variables: (q58,q57,q30,p20,p16,p11) is replaced by e_1780: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q30,p20,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1028 5-Oct-2003 00:18:23, 60 ms (0%), 1433858 occupied, 23566010 free Eliminate q56 from e_2542 and e_2615. e_2615: 5 terms, 10 factors, with derivatives of functions of all variables: (q58,q56,q30,p20,p11,p5) is replaced by e_2534: 3 terms, 6 factors, with derivatives of functions of all variables: (q58,q30,p20,p11,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1029 5-Oct-2003 00:18:29, 70 ms (0%), 1426628 occupied, 23573266 free Eliminate q57 from e_2392 and e_2371. e_2371: 4 terms, 20 factors, with derivatives of functions of all variables: 2 4 3 (q57,q6,p11 ,p10,p8,p5 ,p5 ,p5) is replaced by e_2518: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q6,p11,p10,p5 ,p5) 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 2 terms 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 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1030 5-Oct-2003 00:18:35, 70 ms (0%), 1451721 occupied, 23548152 free Eliminate q6 from e_2385 and e_2390. e_2390: 4 terms, 20 factors, with derivatives of functions of all variables: 2 4 3 (q57,q6,p11 ,p10,p8,p5 ,p5 ,p5) is replaced by e_2357: 0=p11*q57*p8*(p10 + p5) 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 : --- Length reducing decoupling steps : Eliminate q57 from e_2357 and e_2400. e_2400: 3 terms, 12 factors, with derivatives of functions of all variables: 3 (q57,q6,p11,p10,p8,p5 ,p5) is replaced by e_2594: 0=q6 e_2628,e_2404,e_2389,e_2385,e_2299,e_2405,e_1776,e_1427 are consequences of e_2594 Step 2854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 38 terms Substitution of q6 found in e_2594 : q6=0 Step 2855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_1587. e_1587: 4 terms, 12 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p10,p5) is replaced by e_1209: 0=p10*p20*q4 + p16*p5*q2 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2335. e_2335: 4 terms, 12 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p10,p5) is replaced by e_1849: 2 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,p20,p16,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q4 from e_1849 and e_1209. e_1849: 2 terms, 6 factors, with derivatives of functions of all variables: (q4,q2,p20,p16,p10,p5) is replaced by e_2516: 0=p16*q2 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 1 term Step 2862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 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 1 term 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1031 5-Oct-2003 00:18:40, 70 ms (0%), 1425952 occupied, 23573920 free Eliminate q21 from e_2557 and e_1186. e_1186: 4 terms, 12 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p11,p5) is replaced by e_2527: 0=q4*(p11*p20 - 2*p16*p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2614. e_2614: (#) 7 terms, 15 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p11,p10,p5) is replaced by e_1608: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q4,q2,p20,p11,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_1760. e_1760: 5 terms, 15 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p9,p5) is replaced by e_2524: 4 terms, 12 factors, with derivatives of functions of all variables: (q4,q2,p20,p16,p9,p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2606. e_2606: 6 terms, 18 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p10,p5) is replaced by e_2601: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q4,p20,p16,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q7 from e_2512 and e_2014. e_2014: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q7,q3,q2,p11,p10,p9,p5 ,p5) is replaced by e_2439: 0=p10*q2 - p10*q3 - p5*q3 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2593. e_2593: 7 terms, 21 factors, with derivatives of functions of all variables: (q21,q4,q2,p20,p16,p11,p5) is replaced by e_584: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q4,p20,p16,p11,p5) *** Garbage collection starting *** GC 1032 5-Oct-2003 00:18:46, 60 ms (0%), 1420080 occupied, 23579860 free 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 : --- Length reducing decoupling steps : Eliminate q7 from e_2512 and e_2075. e_2075: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q7,q3,q2,p11,p10,p9,p5 ,p5) is replaced by e_2619: 4 terms, 8 factors, with derivatives of functions of all variables: (q3,q2,p10,p9,p5) 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 : --- Length reducing decoupling steps : Eliminate q3 from e_2619 and e_2427. e_2427: 5 terms, 15 factors, with derivatives of functions of all variables: (q7,q3,q2,p11,p10,p9,p5) is replaced by e_2498: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q7,q2,p11,p10,p9,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1033 5-Oct-2003 00:18:52, 70 ms (0%), 1452867 occupied, 23547009 free *** Garbage collection starting *** GC 1034 5-Oct-2003 00:18:58, 70 ms (0%), 1460510 occupied, 23539369 free Eliminate q57 from e_2265 and e_2165. e_2165: 8 terms, 40 factors, with derivatives of functions of all variables: 2 4 3 2 (q58,q57,q56,p20,p11 ,p11,p10,p5 ,p5 ,p5 ,p5) is replaced by e_1026: 4 terms, 8 factors, with derivatives of functions of all variables: (q58,q56,p11,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1026 and e_2602. e_2602: 7 terms, 28 factors, with derivatives of functions of all variables: 3 2 (q58,q57,q56,p20,p11,p10,p5 ,p5 ,p5) is replaced by e_2613: 6 terms, 24 factors, with derivatives of functions of all variables: 3 2 (q57,q56,p20,p11,p10,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1035 5-Oct-2003 00:19:04, 70 ms (0%), 1443401 occupied, 23556485 free Eliminate q57 from e_2240 and e_2511. e_2240: 6 terms, 30 factors, with derivatives of functions of all variables: 2 4 3 (q57,q56,q30,p20,p11 ,p11,p10,p5 ,p5 ,p5) is replaced by e_1600: 0=q56*(p10 + 4*p5) 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 : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 39 terms e_696 is a consequence of e_2375. Substitution of q56 by an expression in q57, p20, p16, p10, p5 found in e_2484 : 12 factors in 3 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1036 5-Oct-2003 00:19:10, 70 ms (0%), 1423862 occupied, 23576013 free Eliminate q57 from e_690 and e_2542. e_2542: 5 terms, 20 factors, with derivatives of functions of all variables: 2 (q57,q30,p20,p16,p11,p10,p5 ,p5) is replaced by e_1720: (#) 3 terms, 10 factors, with derivatives of functions of all variables: 2 (q30,p20,p16,p11,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1037 5-Oct-2003 00:19:16, 70 ms (0%), 1430741 occupied, 23569142 free Eliminate q58 from e_2623 and e_1096. e_1096: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q58,q57,q30,p20,p16,p10 ,p10,p5 ,p5) is replaced by e_1670: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q57,q30,p20,p16,p10 ,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1038 5-Oct-2003 00:19:22, 70 ms (0%), 1430452 occupied, 23569429 free Eliminate q58 from e_2623 and e_1995. e_1995: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q58,q57,p20,p16,p11,p10 ,p10,p5 ,p5) is replaced by e_2367: (#) 4 terms, 13 factors, with derivatives of functions of all variables: (q57,p20,p16,p11,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2623 and e_1738. e_1738: 7 terms, 35 factors, with derivatives of functions of all variables: 2 2 3 2 (q58,q57,p20,p16,p11 ,p10 ,p10,p5 ,p5 ,p5) is replaced by e_2603: (#) 6 terms, 25 factors, with derivatives of functions of all variables: 2 2 2 (q57,p20,p16,p11 ,p10 ,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1039 5-Oct-2003 00:19:28, 60 ms (0%), 1452517 occupied, 23547370 free Eliminate q58 from e_2568 and e_2540. e_2540: 8 terms, 40 factors, with derivatives of functions of all variables: 2 4 3 2 (q58,q57,p20,p16,p11 ,p11,p10,p5 ,p5 ,p5 ,p5) is replaced by e_2610: (#) 8 terms, 33 factors, with derivatives of functions of all variables: 2 3 2 (q57,p20,p16,p11 ,p11,p10,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1040 5-Oct-2003 00:19:35, 60 ms (0%), 1449968 occupied, 23549903 free Eliminate q21 from e_2557 and e_2355. e_2355: 6 terms, 18 factors, with derivatives of functions of all variables: (q21,q4,q3,q2,p20,p16,p10,p5) is replaced by e_2450: 3 terms, 9 factors, with derivatives of functions of all variables: (q4,q3,p20,p16,p10,p5) Step 2887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2223 and e_2419. e_2419: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q7,q4,q3,p20,p16) is replaced by e_2378: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q7,q3,p20,p16) 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 : --- Length reducing decoupling steps : Eliminate q4 from e_2223 and e_2607. e_2607: 5 terms, 15 factors, with derivatives of functions of all variables: (q21,q4,q3,p20,p16,p10,p5) is replaced by e_2630: 4 terms, 12 factors, with derivatives of functions of all variables: (q21,q3,p20,p16,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2378 and e_1583. e_2378: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q7,q3,p20,p16) is replaced by e_1792: 4 terms, 8 factors, with derivatives of functions of all variables: (q7,q3,q2,p20,p16) 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 : *** Garbage collection starting *** GC 1041 5-Oct-2003 00:19:42, 70 ms (0%), 1424771 occupied, 23575170 free --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_2334. e_2334: 7 terms, 21 factors, with derivatives of functions of all variables: (q21,q7,q4,q2,p20,p16,p11,p5) is replaced by e_2426: 3 terms, 9 factors, with derivatives of functions of all variables: (q7,q4,p20,p16,p11,p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2557 and e_1326. e_1326: 8 terms, 24 factors, with derivatives of functions of all variables: (q21,q7,q4,q2,p20,p16,p11,p5) is replaced by e_2326: 4 terms, 12 factors, with derivatives of functions of all variables: (q7,q4,p20,p16,p11,p5) 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 : --- Length reducing decoupling steps : Eliminate q7 from e_2426 and e_2326. e_2426: 3 terms, 9 factors, with derivatives of functions of all variables: (q7,q4,p20,p16,p11,p5) is replaced by e_735: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q4,p20,p16,p11,p5) 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 : --- Length reducing decoupling steps : Eliminate q58 from e_1916 and e_2372. e_2372: 6 terms, 24 factors, with derivatives of functions of all variables: 2 (q58,q57,q30,p20,p16,p11,p10,p5 ,p5) is replaced by e_2508: 6 terms, 24 factors, with derivatives of functions of all variables: 2 (q57,q30,p20,p16,p11,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_2348 and e_2336. e_2336: 10 terms, 20 factors, with derivatives of functions of all variables: (q21,q7,q4,q3,q2,p11,p9,p5) is replaced by e_2543: 6 terms, 12 factors, with derivatives of functions of all variables: (q7,q4,q3,q2,p11,p9,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1042 5-Oct-2003 00:19:49, 60 ms (0%), 1440283 occupied, 23559608 free Eliminate q57 from e_690 and e_1923. e_1923: 9 terms, 45 factors, with derivatives of functions of all variables: 2 4 3 2 (q58,q57,q30,p20,p16,p11 ,p10,p5 ,p5 ,p5 ,p5) is replaced by e_2371: 6 terms, 30 factors, with derivatives of functions of all variables: 2 4 3 2 (q58,q30,p20,p16,p11 ,p10,p5 ,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1043 5-Oct-2003 00:19:56, 70 ms (0%), 1447020 occupied, 23552865 free Eliminate q21 from e_1627 and e_2608. e_1627: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q21,q4,q3,p20,p11,p5) is replaced by e_2507: 0=(2*q2 - q3 + q4)*p20 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1044 5-Oct-2003 00:20:04, 70 ms (0%), 1430224 occupied, 23569654 free Eliminate q3 from e_2619 and e_2590. e_2590: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q7,q3,q2,p11 ,p11,p9,p5 ,p5) is replaced by e_2390: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q7,q2,p11 ,p11,p10,p9,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate q4 from e_2507 and e_2596. e_2596: 6 terms, 18 factors, with derivatives of functions of all variables: (q21,q4,q3,q2,p20,p16,p11,p10,p5) is replaced by e_2547: 6 terms, 18 factors, with derivatives of functions of all variables: (q21,q3,q2,p20,p16,p11,p10,p5) 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 q4 from e_2507 and e_2625. e_2625: 7 terms, 21 factors, with derivatives of functions of all variables: (q21,q4,q3,q2,p20,p16,p10,p9,p5) is replaced by e_2400: 7 terms, 21 factors, with derivatives of functions of all variables: (q21,q3,q2,p20,p16,p10,p9,p5) 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 q3 from e_2619 and e_2558. e_2558: 11 terms, 22 factors, with derivatives of functions of all variables: (q21,q7,q4,q3,q2,p11,p10,p9,p5) is replaced by e_1427: 10 terms, 20 factors, with derivatives of functions of all variables: (q21,q7,q4,q2,p11,p10,p9,p5) 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 : *** Garbage collection starting *** GC 1045 5-Oct-2003 00:20:13, 60 ms (0%), 1431920 occupied, 23567962 free Eliminate q21 from e_2557 and e_2510. e_2510: 7 terms, 35 factors, with derivatives of functions of all variables: 2 3 2 (q57,q21,q4,q2,p20,p11 ,p10,p8,p5 ,p5 ,p5) is replaced by e_1776: 4 terms, 20 factors, with derivatives of functions of all variables: 2 3 2 (q57,q4,p20,p11 ,p10,p8,p5 ,p5 ,p5) Step 2903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q57 from e_2357 and e_2405. e_2405: 3 terms, 15 factors, with derivatives of functions of all variables: 2 3 (q57,q4,p20,p11 ,p10,p8,p5 ,p5) is replaced by e_2299: 0=p20*q4 e_2574,e_1722,e_2012 are consequences of e_2299 Step 2905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 2909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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_1732 is a consequence of e_2299. 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 e_2561 is a consequence of e_2299. 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_2361 is a consequence of e_2299. Step 2915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 2918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1830 is a consequence of e_2606 Step 2920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2592 is a consequence of e_2614. Step 2923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 2926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_2299 and e_2507. e_2507: 0=(2*q2 - q3 + q4)*p20 is replaced by e_2540: 0=(2*q2 - q3)*p20 Step 2930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q3 from e_2540 and e_2014. e_2540: 0=(2*q2 - q3)*p20 is replaced by e_1822: 0=p20*q2 e_2165,e_1754,e_1447,e_2614 are consequences of e_1822 Step 2931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 2934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_1822 and e_2014. e_2014: 0=(q2 - 2*q3)*p20 is replaced by e_2632: 0=p20*q3 Step 2935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q3 from e_2632 and e_2461. e_2461: 0=(2*q2 + q21 - 2*q3)*p20 is replaced by e_2615: 0=(2*q2 + q21)*p20 Step 2940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q2 from e_1822 and e_2615. e_2615: 0=(2*q2 + q21)*p20 is replaced by e_1923: 0=p20*q21 e_2297,e_2575,e_2612,e_1326,e_2394,e_2539 are consequences of e_1923 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 : --- Length reducing decoupling steps : Eliminate q21 from e_1923 and e_2557. e_2557: 0=(q2 + q21 + 2*q4)*p20 is replaced by e_2518: 0=(q2 + 2*q4)*p20 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 : --- Length reducing decoupling steps : Eliminate q2 from e_1822 and e_2518. e_2518: 0=(q2 + 2*q4)*p20 is replaced by e_2590: 0=p20*q4 e_2590 is a consequence of e_2299. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1046 5-Oct-2003 00:20:20, 60 ms (0%), 1421736 occupied, 23578146 free Eliminate q57 from e_690 and e_1026. e_1026: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 (q58,q57,p20,p16,p11,p10 ,p10,p5 ,p5) is replaced by e_2596: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q58,q30,p16,p11,p10 ,p10,p5 ,p5) Step 2944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q57 from e_690 and e_2301. e_2301: 7 terms, 28 factors, with derivatives of functions of all variables: 3 (q58,q57,p20,p16,p11,p10,p5 ,p5) is replaced by e_1776: 4 terms, 16 factors, with derivatives of functions of all variables: 3 (q58,q30,p16,p11,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1047 5-Oct-2003 00:20:32, 60 ms (0%), 1422367 occupied, 23577519 free --- Factorization to subcases leading to substitutions : factorizing e_2375 we get the alternative equations : 0=q57 0=p9 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2677 : 0=q57 e_2194,e_2610,e_2603,e_2613,e_2589,e_2275,e_2609,e_2352,e_2367,e_2506,e_2318, e_2290,e_2265,e_1600,e_2611,e_2357,e_2432,e_2567 are consequences of e_2677 Step 2948: 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 15 terms The list of inequalities got extended by: An expression with 28 terms e_2629 is a consequence of e_2167. e_2426 is a consequence of e_2167. e_2372 is a consequence of e_1947. e_1326 is a consequence of e_1947. e_2612 is a consequence of e_2167. Substitution of q57 found in e_2677 : q57=0 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 e_2301 is a consequence of e_1731. e_2301 is a consequence of e_1947. 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 2 terms e_1776 is a consequence of e_2167. 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 28 terms e_1404 is a consequence of e_1731. e_1404 is a consequence of e_1947. e_2378 is a consequence of e_1947. e_1722 is a consequence of e_1947. e_1722 is a consequence of e_2531. e_2574 is a consequence of e_1947. e_2574 is a consequence of e_2562. e_2336 is a consequence of e_1947. e_2336 is a consequence of e_1849. e_2394 is a consequence of e_1947. e_2539 is a consequence of e_1947. e_2615 is a consequence of e_1947. e_2385 is a consequence of e_1947. Substitution of q58 by an expression in q30, p16, p11, p5 found in e_2012 : - 3*p11*p16*q30 q58=------------------ 2 p5 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 2 terms e_1587 is a consequence of e_2167. 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 3 terms e_2595 is a consequence of e_2167. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1048 5-Oct-2003 00:20:40, 60 ms (0%), 1409884 occupied, 23590043 free --- Factorization to subcases leading to substitutions : factorizing e_2531 we get the alternative equations : 0=q30 0=p9 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_735 : 0=q30 e_2146,e_2600,e_2398,e_2505,e_1896,e_2334,e_1849,e_2461,e_2562,e_2167,e_1947, e_1731 are consequences of e_735 Step 2957: 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 13 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q30 found in e_735 : q30=0 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_2227 we get the alternative equations : 0=p11 0=q9 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_2620 : 0=p11 e_2559 is a consequence of e_2620 Step 2959: Hot list of urgent steps : The list of inequalities got extended by: g0035*p10 + g0036*p9 + g0039*p5 The list of inequalities got extended by: An expression with 9 terms 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_2244,e_1451,e_1430,e_2459,e_1908,e_2513,e_2624 are consequences of e_2527 e_1732 is a consequence of e_2601 e_584,e_1337,e_2591,e_2606,e_2601 are consequences of e_1760 Substitution of p11 found in e_2620 : p11=0 Step 2960: Hot list 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 The list of inequalities got extended by: An expression with 16 terms Substitution of q9 found in e_2527 : q9=0 Step 2961: Hot list 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 6 terms The list of inequalities got extended by: An expression with 12 terms e_727 is a consequence of e_2267. e_1186 is a consequence of e_2544. Substitution of q7 found in e_1760 : q7=0 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 : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 12 terms e_2309 is a consequence of e_2267. e_2309 is a consequence of e_2389. e_1649 is a consequence of e_2267. e_1649 is a consequence of e_2632. e_2605 is a consequence of e_2267. e_2561 is a consequence of e_2267. e_1830 is a consequence of e_2267. Substitution of q4 by an expression in q3, p9, p5 found in e_2326 : - p9*q3 q4=---------- p5 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 : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q3 by an expression in q21, q2, p10, p5 found in e_2361 : 8 factors in 3 terms Step 2964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 8 terms q21 The lexicographical ordering of unknowns is changed because q21 has to be non-zero, giving q21 a low priority. Old ordering: q21,q2,p20,p16,p10,p9,p8,p5 New ordering: q2,q21,p20,p16,p10,p9,p8,p5 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_1447 is a consequence of e_1923. e_1754 is a consequence of e_1742. e_2220 is a consequence of e_1742. e_696 is a consequence of e_1923. e_2267 is a consequence of e_2528. e_2174 is a consequence of e_2544. e_2524 is a consequence of e_2528. e_2254 is a consequence of e_2528. Substitution of q2 by an expression in q21, p10, p5 found in e_2618 : 11 factors in 3 terms Step 2965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p20 The lexicographical ordering of unknowns is changed because p20 has to be non-zero, giving p20 a low priority. Old ordering: q21,p20,p16,p10,p9,p8,p5 New ordering: q21,p16,p10,p9,p8,p20,p5 The list of inequalities got extended by: An expression with 6 terms Substitution of p16 found in e_1742 : p16=0 Step 2966: Hot list 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 6 terms The list of inequalities got extended by: g0035*p10 + g0039*p5 The list of inequalities got extended by: An expression with 5 terms e_1706 is a consequence of e_2544. Substitution of p9 found in e_2528 : p9=0 Step 2967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p20=0 because of the non-vanishing expression: p20 The list of inequalities got extended by: An expression with 5 terms p10 p5 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q21,p10,p8,p20,p5 New ordering: q21,p8,p20,p10,p5 Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q21,q9,q7,q4,q3,q2,p20,p16,p11,p10,p9,p8,p5 New ordering: q21,q9,q7,q4,q3,q2,p20,p16,p10,p9,p8,p11,p5 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_2620 : 0=q9 e_2244,e_1451,e_2349,e_1430,e_2459,e_1908,e_2513,e_2624 are consequences of e_2620 Step 2968: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q9 found in e_2620 : q9=0 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 22 terms e_1822 is a consequence of e_2591. e_2516 is a consequence of e_2606. Substitution of q2 by an expression in q7, p10, p11, p5 found in e_2573 : 9 factors in 4 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1049 5-Oct-2003 00:20:45, 40 ms (0%), 1231870 occupied, 23768048 free --- Factorization to subcases leading to substitutions : factorizing e_2528 we get the alternative equations : 0=p9 0=q21 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1.2.1. CRACK is now called with the new equation e_2524 : 0=p9 Step 2971: Hot list of urgent steps : The list of inequalities got extended by: g0034*p11 + g0035*p10 + g0039*p5 The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 19 terms e_2390,e_2498,e_2106,e_1186,e_1337,e_2591,e_2606 are consequences of e_727 e_2174 is a consequence of e_727. e_1608 is a consequence of e_727. e_1760 is a consequence of e_727. e_2628 is a consequence of e_727. Substitution of p9 found in e_2524 : p9=0 Step 2972: Hot list 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 5 terms The list of inequalities got extended by: An expression with 10 terms e_2299,e_2311 are consequences of e_2267 Substitution of q7 found in e_727 : q7=0 Step 2973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 4 terms q21 The lexicographical ordering of unknowns is changed because q21 has to be non-zero, giving q21 a low priority. Old ordering: q21,q4,q3,p20,p16,p10,p8,p11,p5 New ordering: q4,q3,q21,p20,p16,p10,p8,p11,p5 The list of inequalities got extended by: q4 The lexicographical ordering of unknowns is changed because q4 has to be non-zero, giving q4 a low priority. Old ordering: q4,q3,q21,p20,p16,p10,p8,p11,p5 New ordering: q3,q4,q21,p20,p16,p10,p8,p11,p5 The list of inequalities got extended by: An expression with 8 terms Substitution of q4 found in e_2267 : q4=0 leads to a contradiction in : 0=q21 + q4 Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q21,q7,q4,q3,p20,p16,p10,p9,p8,p11,p5 New ordering: q21,q7,q4,q3,p20,p16,p10,p8,p9,p11,p5 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.1.2.2. CRACK is now called with the new equation e_2524 : 0=q21 e_2559,e_1742,e_1923 are consequences of e_2524 Step 2974: 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 7 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q21 found in e_2524 : q21=0 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 : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q4 by an expression in q7, q3, p9, p11 found in e_2377 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 11 terms q7 The lexicographical ordering of unknowns is changed because q7 has to be non-zero, giving q7 a low priority. Old ordering: q7,q3,p20,p16,p10,p8,p9,p11,p5 New ordering: q3,q7,p20,p16,p10,p8,p9,p11,p5 The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 24 terms e_2632 is a consequence of e_2591. e_2389 is a consequence of e_2606. e_2299 is a consequence of e_2591. e_2311 is a consequence of e_2606. Substitution of q3 by an expression in q7, p10, p9, p11, p5 found in e_2588 : 16 factors in 5 terms Step 2977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p8 found in e_1337 : p8=0 Step 2978: Hot list 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: p11 - p5 - p9 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: q7,p20,p16,p10,p9,p11,p5 New ordering: q7,p20,p10,p16,p9,p11,p5 Substitution of p20 found in e_2591 : p20=0 Step 2979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0034*p11 + g0036*p9 + g0039*p5 The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 13 terms Substitution of p10 found in e_2512 : p10=0 leads to a contradiction in : 0=2*p10 + p11 - p5 - p9 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: 20 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q30,q21,q9,q7,q4,q3,q2,p20,p16,p11,p10,p9,p8,p5 New ordering: q30,q21,q9,q7,q4,q3,q2,p20,p16,p10,p9,p8,p11,p5 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: q30,q21,q9,q7,q4,q3,q2,p20,p16,p10,p9,p8,p11,p5 New ordering: q30,q21,q9,q7,q4,q3,q2,p20,p16,p9,p8,p10,p11,p5 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: q30,q21,q9,q7,q4,q3,q2,p20,p16,p9,p8,p10,p11,p5 New ordering: q21,q9,q7,q4,q3,q2,q30,p20,p16,p9,p8,p10,p11,p5 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_735 : 0=p9 e_1430,e_2528 are consequences of e_735 Step 2980: Hot list of urgent steps : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: g0034*p11 + g0035*p10 + g0039*p5 The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 22 terms e_2244,e_2349,e_2227,e_2459,e_1908,e_2513,e_2624 are consequences of e_2620 e_2527 is a consequence of e_2505. e_1732 is a consequence of e_1849.e_2106,e_1337,e_2591,e_2606 are consequences of e_584 e_2361 is a consequence of e_584. e_2605 is a consequence of e_584. e_2524 is a consequence of e_584. Substitution of p9 found in e_735 : p9=0 Step 2981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p8 found in e_2562 : p8=0 Step 2982: Hot list 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 7 terms The list of inequalities got extended by: p16 Substitution of p20 found in e_2167 : p20=0 Step 2983: Hot list 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 The list of inequalities got extended by: An expression with 5 terms e_2628 is a consequence of e_2505. Substitution of q21 found in e_1742 : q21=0 Step 2984: Hot list 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 12 terms e_2601 is a consequence of e_2311. e_2519 is a consequence of e_2389. e_2523 is a consequence of e_2389. e_2523 is a consequence of e_2334. e_1417 is a consequence of e_584. e_727 is a consequence of e_584. e_2254 is a consequence of e_584. e_2267 is a consequence of e_584. Substitution of q2 found in e_2516 : q2=0 Step 2985: Hot list 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 11 terms Substitution of q3 found in e_2389 : q3=0 Step 2986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0051*q30 + g0072*q9 + g0074*q7 The list of inequalities got extended by: An expression with 10 terms e_2326 is a consequence of e_584. e_2561 is a consequence of e_584. e_1608 is a consequence of e_584. e_1608 is a consequence of e_2505. e_1186 is a consequence of e_584. e_1186 is a consequence of e_2505. e_2174 is a consequence of e_584. Substitution of q4 found in e_2311 : q4=0 Step 2987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p16=0 because of the non-vanishing expression: p16 The list of inequalities got extended by: An expression with 7 terms p5 The list of inequalities got extended by: p11 The list of inequalities got extended by: p10 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 50 ms The list of inequalities got extended by: q57 The lexicographical ordering of unknowns is changed because q57 has to be non-zero, giving q57 a low priority. Old ordering: q58,q57,q30,q21,q9,q7,q4,q3,q2,p20,p16,p11,p10,p9,p8,p5 New ordering: q58,q30,q21,q9,q7,q4,q3,q2,q57,p20,p16,p11,p10,p9,p8,p5 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_2677 : 0=p9 e_1430,e_2531,e_2528,e_1977 are consequences of e_2677 Step 2988: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: g0034*p11 + g0035*p10 + g0039*p5 The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 30 terms e_2244,e_2349,e_2227,e_2459,e_1908,e_2513,e_2624 are consequences of e_2378 e_2372 is a consequence of e_1731. e_2336 is a consequence of e_1731. Substitution of p9 found in e_2677 : p9=0 Step 2989: Hot list 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 26 terms Substitution of q9 found in e_2378 : q9=0 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 : *** Garbage collection starting *** GC 1050 5-Oct-2003 00:20:55, 50 ms (0%), 1265508 occupied, 23734437 free The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 29 terms Substitution of q4 by an expression in q7, q2, p11, p5 found in e_1849 : 12 factors in 4 terms Step 2991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 2992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_584 is a consequence of e_1731. 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 1 term 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 : shortening by 2 terms e_2326 is a consequence of e_1947. 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 1 term 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 27 terms e_2527 is a consequence of e_1731 e_1830 is a consequence of e_1731. e_1830 is a consequence of e_2516. e_2383 is a consequence of e_1731. e_2383 is a consequence of e_1822. e_2628 is a consequence of e_1731. e_2629 is a consequence of e_1731. e_2335 is a consequence of e_1731. e_2335 is a consequence of e_1822. e_1583 is a consequence of e_1731. e_1583 is a consequence of e_2516. Substitution of q7 by an expression in q2, p11, p5 found in e_2544 : 1 - ---*p11*q2 2 q7=--------------- p5 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 1 term 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 : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 40 terms Substitution of q2 by an expression in q21, q3, p11, p10, p5 found in e_2514 : 10 factors in 4 terms 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 e_2618 is a consequence of e_2632. 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 2 terms e_1706 is a consequence of e_1742. 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 6 terms 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 3 terms 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 4 terms 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 3 terms 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 4 terms 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 : --- Length reducing decoupling steps : Eliminate p10 from e_2567 and e_2611. e_2611: 0=p11*(p10 + p5)*p10 is replaced by e_2614: 0=p10*p11 e_2523 is a consequence of e_2614 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 : --- Length reducing decoupling steps : Eliminate p10 from e_2567 and e_2609. e_2609: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 3 2 (p11 ,p10 ,p10,p5 ,p5 ,p5) is replaced by e_2165: 4 terms, 12 factors, with derivatives of functions of all variables: 2 3 2 (p11 ,p10,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2585. e_2585: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q30,q57,p11,p10,p5) is replaced by e_2450: 0=(q30 + q57)*p10 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2592. e_2592: 3 terms, 9 factors, with derivatives of functions of all variables: 2 2 (q21,q3,p11,p10 ,p10,p5 ) is replaced by e_2419: 2 2 0=p10 *q21 + 2*p5 *q3 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 : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 40 terms e_2622 is a consequence of e_1923. e_2515 is a consequence of e_1742. e_1731 is a consequence of e_2614. Substitution of q3 by an expression in q21, p10, p5 found in e_2419 : 1 2 - ---*p10 *q21 2 q3=----------------- 2 p5 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_1947. e_1947: (#) 6 terms, 10 factors, with derivatives of functions of all variables: 3 2 3 2 (q21,p11,p10 ,p10 ,p10,p5 ,p5 ,p5) is replaced by e_2631: 0=q21*p10*(p10 - p5)*(p10 + p5) 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2542. e_2542: (#) 3 terms, 11 factors, with derivatives of functions of all variables: 2 3 2 3 (q21,p11 ,p10 ,p10 ,p10,p5 ,p5) is replaced by e_2633: 0=q21*p10*(p10 - p5)*(p10 + p5) e_2633 is a consequence of e_2631. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1051 5-Oct-2003 00:20:59, 50 ms (0%), 1275282 occupied, 23724625 free Eliminate p10 from e_2567 and e_2391. e_2391: (#) 8 terms, 34 factors, with derivatives of functions of all variables: 3 2 3 2 4 3 2 (q21,p11 ,p11 ,p11,p10 ,p10 ,p10,p5 ,p5 ,p5 ,p5) is replaced by e_2634: (#) 5 terms, 22 factors, with derivatives of functions of all variables: 3 2 2 4 3 2 (q21,p11 ,p11 ,p11,p10 ,p10,p5 ,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate p10 from e_2567 and e_2540. e_2540: (#) 10 terms, 61 factors, with derivatives of functions of all variables: 4 3 2 3 2 5 4 3 2 (q21,p11 ,p11 ,p11 ,p11,p10 ,p10 ,p10,p5 ,p5 ,p5 ,p5 ,p5) is replaced by e_2635: (#) 7 terms, 43 factors, with derivatives of functions of all variables: 4 3 2 2 5 4 3 2 (q21,p11 ,p11 ,p11 ,p11,p10 ,p10,p5 ,p5 ,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2635. e_2635: (#) 7 terms, 43 factors, with derivatives of functions of all variables: 4 3 2 2 5 4 3 2 (q21,p11 ,p11 ,p11 ,p11,p10 ,p10,p5 ,p5 ,p5 ,p5 ,p5) is replaced by e_2636: (#) 6 terms, 31 factors, with derivatives of functions of all variables: 3 2 2 4 3 2 (q21,p11 ,p11 ,p11,p10 ,p10,p5 ,p5 ,p5 ,p5) Step 3023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2636. e_2636: (#) 6 terms, 31 factors, with derivatives of functions of all variables: 3 2 2 4 3 2 (q21,p11 ,p11 ,p11,p10 ,p10,p5 ,p5 ,p5 ,p5) is replaced by e_2637: (#) 5 terms, 21 factors, with derivatives of functions of all variables: 2 2 3 2 (q21,p11 ,p11,p10 ,p10,p5 ,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2637. e_2637: (#) 5 terms, 21 factors, with derivatives of functions of all variables: 2 2 3 2 (q21,p11 ,p11,p10 ,p10,p5 ,p5 ,p5) is replaced by e_2638: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q21,p11,p10 ,p10,p5 ,p5) 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 : --- Length reducing decoupling steps : Eliminate p10 from e_2567 and e_2638. e_2638: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q21,p11,p10 ,p10,p5 ,p5) is replaced by e_2639: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q21,p11,p10,p5) 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_1422. e_1422: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q30,q57,p11,p10,p5 ,p5) is replaced by e_2641: 0=p10*q30 - p5*q30 + p5*q57 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 : --- Length reducing decoupling steps : Eliminate p11 from e_2614 and e_2352. e_2352: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (p20,p16,p11,p10,p5 ) is replaced by e_2642: 0=3*p16 - p20 Step 3028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q58,q30,q21,q57,p20,p16,p11,p10,p8,p5 New ordering: q58,q30,q21,q57,p20,p11,p10,p8,p16,p5 The list of inequalities got extended by: p20 The lexicographical ordering of unknowns is changed because p20 has to be non-zero, giving p20 a low priority. Old ordering: q58,q30,q21,q57,p20,p11,p10,p8,p16,p5 New ordering: q58,q30,q21,q57,p11,p10,p8,p20,p16,p5 The list of inequalities got extended by: p11 q58 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q58,q30,q21,q57,p11,p10,p8,p20,p16,p5 New ordering: q58,q30,q21,q57,p10,p8,p11,p20,p16,p5 The lexicographical ordering of unknowns is changed because q58 has to be non-zero, giving q58 a low priority. Old ordering: q58,q30,q21,q57,p10,p8,p11,p20,p16,p5 New ordering: q30,q21,q58,q57,p10,p8,p11,p20,p16,p5 The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 39 terms e_2643 is a consequence of e_2614. e_2643 is a consequence of e_2479. e_2644 is a consequence of e_2614. 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: q30,q21,q58,q57,p10,p8,p11,p20,p16,p5 New ordering: q21,q30,q58,q57,p10,p8,p11,p20,p16,p5 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: q21,q30,q58,q57,p10,p8,p11,p20,p16,p5 New ordering: q21,q30,q58,q57,p8,p10,p11,p20,p16,p5 Substitution of p20 by an expression in p16 found in e_2642 : p20=3*p16 Step 3029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p8 found in e_2479 : p8=0 Step 3030: Hot list 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 3 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q21 found in e_1742 : q21=0 Step 3031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p10=0 because of the non-vanishing expression: p10 The list of inequalities got extended by: An expression with 7 terms p5 The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q30,q58,q57,p10,p11,p16,p5 New ordering: q30,q58,q57,p10,p16,p11,p5 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: q30,q58,q57,p10,p16,p11,p5 New ordering: q30,q58,q57,p16,p10,p11,p5 The list of inequalities got extended by: g0082*q58 + g0083*q57 The list of inequalities got extended by: An expression with 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 Time: 120 ms The list of inequalities got extended by: p21 The lexicographical ordering of unknowns is changed because p21 has to be non-zero, giving p21 a low priority. Old ordering: 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,p21,p20,p16,p11,p10,p9,p8,p5 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,p20,p16,p11,p10,p9,p8,p5,p21 New level : 1.1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2153 : 0=q30 Step 3032: 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 28 terms e_2498 is a consequence of e_2212. *** Garbage collection starting *** GC 1052 5-Oct-2003 00:21:06, 70 ms (0%), 1396157 occupied, 23603767 free Substitution of q30 found in e_2153 : q30=0 Step 3033: Hot list 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_1614 is a consequence of e_1606. e_2459 is a consequence of e_1606. e_2344 is a consequence of e_1816. e_2240 is a consequence of e_1816. Substitution of q45 found in e_1422 : q45=0 Step 3034: Hot list 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_2286 is a consequence of e_2511. Substitution of q52 found in e_996 : q52=0 Step 3035: Hot list 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 23 terms e_2416 is a consequence of e_2405. e_2436 is a consequence of e_2405. e_2393 is a consequence of e_1671. Substitution of q39 found in e_1425 : q39=0 Step 3036: Hot list 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_1331,e_868 are consequences of e_2218 e_1347 is a consequence of e_2076 Substitution of q40 found in e_1427 : q40=0 Step 3037: Hot list 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 21 terms Substitution of q36 found in e_1588 : q36=0 Step 3038: Hot list 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_728 is a consequence of e_735. Substitution of q48 found in e_1606 : q48=0 Step 3039: Hot list 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 19 terms Substitution of q55 found in e_584 : q55=0 Step 3040: Hot list 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 18 terms Substitution of q57 found in e_1649 : q57=0 Step 3041: Hot list 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 q54 found in e_1908 : q54=0 Step 3042: Hot list 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 q18 found in e_1847 : q18=0 Step 3043: Hot list 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_2383 is a consequence of e_1849. e_1947 is a consequence of e_1849.e_166,e_696,e_1186 are consequences of e_2378 e_2446 is a consequence of e_2369. e_2232 is a consequence of e_1849. Substitution of q12 found in e_1404 : q12=0 Step 3044: Hot list 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_2450 is a consequence of e_2377.e_2077,e_2409 are consequences of e_2309 e_2282 is a consequence of e_2377. Substitution of q41 found in e_1849 : q41=0 Step 3045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 23 terms e_1853 is a consequence of e_2326. Substitution of q28 found in e_2212 : q28=0 Step 3046: Hot list 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 q46 found in e_2146 : q46=0 Step 3047: Hot list 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_2488 is a consequence of e_2511. e_2488 is a consequence of e_1878. Substitution of q26 found in e_1861 : q26=0 Step 3048: Hot list 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_2421 is a consequence of e_2309. Substitution of q49 found in e_1583 : q49=0 Step 3049: Hot list 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_736,e_2386,e_2388,e_2414,e_1508 are consequences of e_2244 e_2260 is a consequence of e_1671. Substitution of q16 found in e_1816 : q16=0 Step 3050: Hot list 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_1761 is a consequence of e_2179. Substitution of q15 found in e_2326 : q15=0 Step 3051: Hot list 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_1425 is a consequence of e_690. e_2209 is a consequence of e_690. Substitution of q13 found in e_2179 : q13=0 Step 3052: Hot list 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 q11 found in e_1995 : q11=0 Step 3053: Hot list 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_1687 is a consequence of e_2309. e_1828 is a consequence of e_2378. e_1648 is a consequence of e_2377. Substitution of q50 found in e_2254 : q50=0 Step 3054: Hot list 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_2311 is a consequence of e_2378. e_2379 is a consequence of e_2076. e_1847 is a consequence of e_2218. e_2297 is a consequence of e_2362. e_2371 is a consequence of e_2120. *** Garbage collection starting *** GC 1053 5-Oct-2003 00:21:09, 60 ms (0%), 1418727 occupied, 23581196 free Substitution of q51 found in e_1822 : q51=0 Step 3055: Hot list 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 q53 found in e_735 : q53=0 Step 3056: Hot list 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_644 is a consequence of e_2275.e_1338 is a consequence of e_644 e_1337,e_2357 are consequences of e_2445 e_2182,e_2444 are consequences of e_2420 Substitution of q42 found in e_2256 : q42=0 Step 3057: Hot list 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 q44 found in e_2275 : q44=0 Step 3058: Hot list 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_166 is a consequence of e_2436. Substitution of q17 found in e_2404 : q17=0 Step 3059: Hot list 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_1947 is a consequence of e_2420. e_2422 is a consequence of e_1671. e_2252 is a consequence of e_1451. Substitution of q19 found in e_2405 : q19=0 Step 3060: Hot list 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_1908 is a consequence of e_2369. e_2459 is a consequence of e_2369. e_1949 is a consequence of e_2369. e_1885 is a consequence of e_2369. e_2450 is a consequence of e_2378. e_2409 is a consequence of e_2369. e_1690 is a consequence of e_2377. e_2282 is a consequence of e_2369. e_1849 is a consequence of e_2369. e_2384 is a consequence of e_2369. Substitution of q22 found in e_2394 : q22=0 Step 3061: Hot list 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_2024 is a consequence of e_2244. e_2396 is a consequence of e_2244. Substitution of q25 found in e_2511 : q25=0 Step 3062: Hot list 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_2426 is a consequence of e_2420. e_2427 is a consequence of e_2420. e_836 is a consequence of e_2420. e_1897 is a consequence of e_2076. e_1979 is a consequence of e_2362. e_1671 is a consequence of e_2218. e_2290 is a consequence of e_2159. Substitution of q21 found in e_2120 : q21=0 Step 3063: Hot list 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 18 terms e_2423 is a consequence of e_2445. e_2434 is a consequence of e_2362. e_2146 is a consequence of e_2159. e_2273 is a consequence of e_2076. e_2411 is a consequence of e_2362. Substitution of q10 found in e_2218 : q10=0 Step 3064: Hot list 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 17 terms e_1451 is a consequence of e_2362. e_1694 is a consequence of e_2159. e_2497 is a consequence of e_2362. Substitution of q5 found in e_2076 : q5=0 Step 3065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 16 terms e_1289 is a consequence of e_2244. e_2527 is a consequence of e_2159. e_2501 is a consequence of e_2445. Substitution of q8 found in e_2362 : q8=0 Step 3066: Hot list 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 19 terms e_2355 is a consequence of e_2378. e_2428 is a consequence of e_1722. Substitution of q37 found in e_2159 : q37=0 Step 3067: Hot list 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 18 terms e_2077 is a consequence of e_2369. e_2529 is a consequence of e_2378. e_2418 is a consequence of e_2309. e_2530 is a consequence of e_2369. e_2531 is a consequence of e_2331. Substitution of q35 found in e_2377 : q35=0 Step 3068: Hot list 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_2392 is a consequence of e_2369. e_1583 is a consequence of e_2309. Substitution of q27 found in e_2378 : q27=0 Step 3069: Hot list 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_1729 is a consequence of e_2309. e_996 is a consequence of e_2309. Substitution of q9 found in e_2369 : q9=0 Step 3070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 16 terms e_2028 is a consequence of e_1911. e_2425 is a consequence of e_1911. e_1706 is a consequence of e_1911. Substitution of q38 found in e_2309 : q38=0 Step 3071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q1 found in e_2244 : q1=0 Step 3072: Hot list 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 14 terms e_1186 is a consequence of e_2420. e_2462 is a consequence of e_2420. Substitution of q7 found in e_2445 : q7=0 Step 3073: Hot list 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 13 terms e_2353 is a consequence of e_2420. e_2467 is a consequence of e_2420. e_2502 is a consequence of e_2368. e_2475 is a consequence of e_2478. e_2351 is a consequence of e_2443. e_2002 is a consequence of e_2443. Substitution of q3 found in e_2430 : q3=0 Step 3074: Hot list 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_2493 is a consequence of e_2478. Substitution of q23 found in e_2420 : q23=0 Step 3075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 1054 5-Oct-2003 00:21:13, 60 ms (0%), 1404343 occupied, 23595584 free --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 6 terms e_2439 is a consequence of e_2385. Substitution of q47 by an expression in q43 found in e_1905 : q47=q43 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms e_2429 is a consequence of e_2435. Substitution of q58 by an expression in q56 found in e_1722 : q58=q56 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 : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 13 terms e_166 is a consequence of e_2404 e_1830 is a consequence of e_2404. Substitution of q29 by an expression in q59, p10, p21 found in e_2184 : p10*q59 q29=--------- p21 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 10 terms The list of inequalities got extended by: An expression with 13 terms e_2274 is a consequence of e_2404. e_1447 is a consequence of e_2404. e_2382 is a consequence of e_2404. e_2395 is a consequence of e_2404. e_2024 is a consequence of e_2404. e_2396 is a consequence of e_2404. e_2511 is a consequence of e_2404. e_2427 is a consequence of e_2404. e_2405 is a consequence of e_2404. Substitution of q2 by an expression in q59, p10, p5, p21 found in e_2422 : - p10*p5*q59 q2=--------------- 2 p21 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 : The list of inequalities got extended by: An expression with 10 terms e_2218 is a consequence of e_2411. Substitution of q14 by an expression in q59, p5, p21 found in e_2195 : p5*q59 q14=-------- p21 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms e_2438 is a consequence of e_2435. e_1781 is a consequence of e_2435. e_2486 is a consequence of e_2435. e_1776 is a consequence of e_2435. e_1939 is a consequence of e_2435. e_1963 is a consequence of e_2435. Substitution of q34 by an expression in q56, p9, p21 found in e_2140 : - p9*q56 q34=----------- p21 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 : The list of inequalities got extended by: An expression with 6 terms e_2385 is a consequence of e_2411. e_2540 is a consequence of e_2275. e_2541 is a consequence of e_2275. e_2542 is a consequence of e_2275. Substitution of q43 by an expression in q59, p16, p21 found in e_2182 : 2*p16*q59 q43=----------- p21 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 6 terms q59 The lexicographical ordering of unknowns is changed because q59 has to be non-zero, giving q59 a low priority. Old ordering: q59,q56,q33,q32,q31,q24,q20,q6,q4,p20,p16,p11,p10,p9,p8,p5,p21 New ordering: q56,q33,q32,q31,q24,q20,q6,q4,q59,p20,p16,p11,p10,p9,p8,p5,p21 e_1729 is a consequence of e_2546. Substitution of q56 by an expression in q59, p20, p21 found in e_2275 : p20*q59 q56=--------- p21 Step 3083: Hot list 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: g0034*p11 + g0036*p9 + g0039*p5 The list of inequalities got extended by: An expression with 10 terms e_1186 is a consequence of e_1430. e_2475 is a consequence of e_2411. e_2351 is a consequence of e_2411. e_736 is a consequence of e_2435. e_2115 is a consequence of e_2161. e_728 is a consequence of e_2435. e_1738 is a consequence of e_2161. Substitution of p10 found in e_2404 : p10=0 Step 3084: Hot list 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: g0034*p11 + g0036*p9 e_2379 is a consequence of e_2368. e_2400 is a consequence of e_1508. e_2420 is a consequence of e_2353. e_2493 is a consequence of e_2373. e_2430 is a consequence of e_2353. e_2002 is a consequence of e_2373.e_2462,e_1508,e_2443,e_2368,e_2244 are consequences of e_1855 e_2161 is a consequence of e_1855. e_2260 is a consequence of e_1816. *** Garbage collection starting *** GC 1055 5-Oct-2003 00:21:17, 70 ms (0%), 1427533 occupied, 23572390 free e_2372 is a consequence of e_1855. e_1606 is a consequence of e_2393. Substitution of p5 found in e_2411 : p5=0 Step 3085: Hot list 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 6 terms e_1337 is a consequence of e_1911. e_2505 is a consequence of e_2435. e_2256 is a consequence of e_2435. e_2429 is a consequence of e_2435. e_2429 is a consequence of e_1338. e_2444 is a consequence of e_2435. Substitution of q4 found in e_1855 : q4=0 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 : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 7 terms e_2581 is a consequence of e_2582 e_2583 is a consequence of e_2582. e_2587 is a consequence of e_2582. e_2590 is a consequence of e_2378. Substitution of q31 by an expression in q33, q59, p11, p21 found in e_2187 : p11*q33 - p11*q59 q31=------------------- p21 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 8 terms e_2115 is a consequence of e_2378. e_1761 is a consequence of e_2591. Substitution of q32 by an expression in q33, q59, p11, p9, p21 found in e_2214 : 7 factors in 3 terms 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 e_2558 is a consequence of e_2309. 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 e_2559 is a consequence of e_2539. 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 : An algebraic length reduction (11 ) was prevented to avoid a cycle. shortening by 1 term e_2573 is a consequence of e_2539. 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 e_2574 is a consequence of e_2539. 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 e_2575 is a consequence of e_2435. 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 e_2603 is a consequence of e_2590. 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 : 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 e_2462 is a consequence of e_2435. Step 3108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 1056 5-Oct-2003 00:21:20, 60 ms (0%), 1432079 occupied, 23567846 free --- Algebraic length reduction of equations : shortening by 1 term e_2024 is a consequence of e_2435. 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 1 term 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 e_2218 is a consequence of e_2435. Step 3116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1776 is a consequence of e_2274. Step 3118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1939 is a consequence of e_1430. Step 3119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2535 is a consequence of e_1911. 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 e_2536 is a consequence of e_2560. e_2536 is a consequence of e_2435. Step 3123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2537 is a consequence of e_2435. 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 1 term e_2538 is a consequence of e_2435. 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 1 term 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 1 term e_2589,e_2588,e_2586,e_2437,e_1096,e_1417,e_1691,e_584,e_2161,e_2411,e_2429, e_2274,e_1659,e_1858,e_1911,e_1364,e_2435,e_2385 are consequences of e_2548 Step 3128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q33,q24,q20,q6,q59,p20,p16,p11,p9,p8,p21 New ordering: q33,q24,q20,q6,q59,p20,p16,p9,p8,p11,p21 The list of inequalities got extended by: q33 The lexicographical ordering of unknowns is changed because q33 has to be non-zero, giving q33 a low priority. Old ordering: q33,q24,q20,q6,q59,p20,p16,p9,p8,p11,p21 New ordering: q24,q20,q6,q33,q59,p20,p16,p9,p8,p11,p21 The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q24,q20,q6,q33,q59,p20,p16,p9,p8,p11,p21 New ordering: q24,q20,q6,q33,q59,p20,p16,p8,p9,p11,p21 The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 7 terms e_2590 is a consequence of e_2560. e_2590 is a consequence of e_2378.e_2496,e_1422,e_2465,e_2121,e_2223,e_735, e_1338,e_2576,e_2580 are consequences of e_2590 e_2549 is a consequence of e_2445.e_2421 is a consequence of e_2549 Substitution of p9 found in e_2548 : p9=0 leads to a contradiction in : 0=p11 + p9 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: p4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2384 : 0=q22 e_2324,e_2303 are consequences of e_2384 Step 3129: Hot list of urgent steps : The list of inequalities got extended by: An expression with 32 terms e_2386 is a consequence of e_1478. e_2388 is a consequence of e_2260.e_2103,e_1404,e_2346,e_2389 are consequences of e_1406 Substitution of q22 found in e_2384 : q22=0 Step 3130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_1855 is a consequence of e_1406. e_1417 is a consequence of e_2385. e_1949 is a consequence of e_2260. Substitution of q27 found in e_1478 : q27=0 Step 3131: Hot list 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 q54 found in e_1671 : q54=0 Step 3132: Hot list 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_2349 is a consequence of e_2114. Substitution of q26 found in e_1911 : q26=0 Step 3133: Hot list 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_1853 : q11=0 Step 3134: Hot list 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_1780 : q33=0 Step 3135: Hot list 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 q16 found in e_2012 : q16=0 Step 3136: Hot list 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_2218 is a consequence of e_2114. e_2218 is a consequence of e_1839. e_2318 is a consequence of e_2114. e_2339 is a consequence of e_2114. e_1754 is a consequence of e_2114. Substitution of q25 found in e_1897 : q25=0 Step 3137: Hot list 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_1412 is a consequence of e_2391. Substitution of q20 found in e_690 : q20=0 Step 3138: Hot list 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 q46 found in e_2165 : q46=0 Step 3139: Hot list 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 q18 found in e_2267 : q18=0 Step 3140: Hot list 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_2416 is a consequence of e_1406. e_1939 is a consequence of e_1406. e_2419 is a consequence of e_1406. e_2420 is a consequence of e_1671. Substitution of q41 found in e_2252 : q41=0 Step 3141: Hot list 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_2023 is a consequence of e_2182. e_2317 is a consequence of e_1415. e_2414 is a consequence of e_2333. Substitution of q52 found in e_2114 : q52=0 Step 3142: Hot list 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_1430 is a consequence of e_1911 e_1427,e_574 are consequences of e_2109 e_1822,e_1585 are consequences of e_1981 e_1331,e_2349 are consequences of e_1867 Substitution of q19 found in e_2363 : q19=0 Step 3143: Hot list 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_2415 is a consequence of e_2412 Substitution of q13 found in e_2232 : q13=0 Step 3144: Hot list 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_2302,e_1669,e_1583,e_2391,e_2372,e_2373,e_2301 are consequences of e_1309 *** Garbage collection starting *** GC 1057 5-Oct-2003 00:21:26, 70 ms (0%), 1420448 occupied, 23579482 free Substitution of q50 found in e_2260 : q50=0 Step 3145: Hot list 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_1738 is a consequence of e_1309. Substitution of q15 found in e_2369 : q15=0 Step 3146: Hot list 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_2275 is a consequence of e_2387 e_2417 is a consequence of e_2412. Substitution of q17 found in e_2378 : q17=0 Step 3147: Hot list 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_1648 is a consequence of e_1309. e_1608 is a consequence of e_1309. Substitution of q24 found in e_2385 : q24=0 Step 3148: Hot list 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_2441 is a consequence of e_1671. e_2443 is a consequence of e_2442. Substitution of q12 found in e_1406 : q12=0 Step 3149: Hot list 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_2269,e_1421,e_1422,e_2197,e_2194,e_2357,e_1096 are consequences of e_2115 e_1606,e_881,e_2312 are consequences of e_2201 e_2450 is a consequence of e_1911. e_2451 is a consequence of e_2109. e_2452 is a consequence of e_1981. Substitution of q21 found in e_2161 : q21=0 Step 3150: Hot list 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 28 terms e_2227 is a consequence of e_1867. e_2327 is a consequence of e_2109. Substitution of q37 found in e_1911 : q37=0 Step 3151: Hot list 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_2414 is a consequence of e_1867. Substitution of q40 found in e_2109 : q40=0 Step 3152: Hot list 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_2349 is a consequence of e_2412. e_2367 is a consequence of e_1867. Substitution of q51 found in e_1981 : q51=0 Step 3153: Hot list 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 27 terms Substitution of q10 found in e_1867 : q10=0 Step 3154: Hot list 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_2373 is a consequence of e_2324. e_2303 is a consequence of e_2324. e_2121 is a consequence of e_2324. e_2372 is a consequence of e_2324. e_2375 is a consequence of e_1309. e_1690 is a consequence of e_1830. e_858 is a consequence of e_2387. e_2358 is a consequence of e_2324. Substitution of q43 found in e_2412 : q43=0 Step 3155: Hot list 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_2353 is a consequence of e_1331. e_2378 is a consequence of e_1923. e_1648 is a consequence of e_2324. Substitution of q49 found in e_1309 : q49=0 Step 3156: Hot list 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_1430 is a consequence of e_2256. e_1026 is a consequence of e_2408. e_1406 is a consequence of e_2324. Substitution of q44 found in e_2387 : q44=0 Step 3157: Hot list 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_1583 is a consequence of e_2324. Substitution of q59 found in e_1830 : q59=0 Step 3158: Hot list 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_2281 is a consequence of e_2201. e_2086 is a consequence of e_2201. e_2311 is a consequence of e_2201. Substitution of q45 found in e_2115 : q45=0 Step 3159: Hot list 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_2197 is a consequence of e_735.e_1347,e_1891,e_2114,e_2363,e_2255 are consequences of e_2222 Substitution of q48 found in e_2201 : q48=0 Step 3160: Hot list 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_1664 is a consequence of e_1730. Substitution of q47 found in e_2324 : q47=0 Step 3161: Hot list 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 15 terms e_1447 is a consequence of e_2456. Substitution of q5 found in e_2222 : q5=0 Step 3162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 1058 5-Oct-2003 00:21:30, 70 ms (0%), 1443070 occupied, 23556859 free The list of inequalities got extended by: An expression with 11 terms e_1730 is a consequence of e_2391. e_2256 is a consequence of e_1096.e_2391,e_1096,e_1792 are consequences of e_2399 Substitution of q42 by an expression in q14 found in e_2408 : q42=q14 Step 3163: Hot list 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 10 terms Substitution of q14 found in e_2399 : q14=0 Step 3164: Hot list 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_735 is a consequence of e_574. e_2234 is a consequence of e_1331. e_2366 is a consequence of e_2365. Substitution of q53 by an expression in q23 found in e_1364 : q53= - q23 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 : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 26 terms e_2076 is a consequence of e_1924. e_1289 is a consequence of e_1425. e_1614 is a consequence of e_2345. Substitution of q8 by an expression in q39, p10, p4 found in e_1761 : p10*q39 q8=--------- p4 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 11 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q38 by an expression in q36, q7, p20, p16, p4 found in e_1626 : 7 factors in 3 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q32 by an expression in q31, q30, p9, p4 found in e_2266 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 29 terms *** Garbage collection starting *** GC 1059 5-Oct-2003 00:21:34, 70 ms (0%), 1458656 occupied, 23541273 free Substitution of q34 by an expression in q36, q7, p20, p4 found in e_2020 : - p20*q36 - p20*q7 q34=--------------------- p4 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q29 by an expression in q55, q3, p21, p10, p4 found in e_1805 : p10*q55 + p21*q3 q29=------------------ p4 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 : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q3 by an expression in q36, q23, p10, p4 found in e_2188 : 7 factors in 3 terms 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 1 term 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 1 term 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 : shortening by 1 term 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 2 terms 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 1 term 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 1 term 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 2 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 1 term 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 2 terms 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 2 terms Step 3190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms Step 3196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 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 1 term 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 1 term 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 1 term e_2353 is a consequence of e_1694. Step 3205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 1060 5-Oct-2003 00:21:37, 70 ms (0%), 1454860 occupied, 23545066 free --- Algebraic length reduction of equations : shortening by 1 term Step 3229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 3235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term 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 1 term Step 3243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term 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 1 term e_1478 is a consequence of e_2485. 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 1 term Step 3250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2353 is a consequence of e_1588. Step 3261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 36 terms *** Garbage collection starting *** GC 1061 5-Oct-2003 00:21:42, 70 ms (0%), 1464362 occupied, 23535562 free Substitution of q31 by an expression in q55, q7, p21, p11, p10, p4 found in e_2023 : 9 factors in 4 terms 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 2 terms e_2431 is a consequence of e_2441 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 4 terms Step 3271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 3274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- 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 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 2 terms Step 3288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 3292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 3300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 3311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : shortening by 2 terms 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 3 terms 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 2 terms 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 2 terms Step 3317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 4 terms 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 4 terms Step 3322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms 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 : *** Garbage collection starting *** GC 1062 5-Oct-2003 00:21:47, 70 ms (0%), 1460544 occupied, 23539382 free shortening by 1 term Step 3324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms Step 3346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms 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 2 terms Step 3351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 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 Step 3365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_1828 and e_2194. e_2194: 0=(16*q56 + 5*q58)*p21 is replaced by e_2427: 0=p21*q58 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2427 and e_1722. e_1722: 0=(q56 - q58)*p21 is replaced by e_2074: 0=p21*q56 e_2074 is a consequence of e_1828. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1063 5-Oct-2003 00:21:51, 70 ms (0%), 1484560 occupied, 23515301 free *** Garbage collection starting *** GC 1064 5-Oct-2003 00:21:56, 80 ms (0%), 1598520 occupied, 23401344 free *** Garbage collection starting *** GC 1065 5-Oct-2003 00:22:02, 80 ms (0%), 1561252 occupied, 23438624 free *** Garbage collection starting *** GC 1066 5-Oct-2003 00:22:07, 70 ms (0%), 1533854 occupied, 23466003 free *** Garbage collection starting *** GC 1067 5-Oct-2003 00:22:12, 80 ms (0%), 1512140 occupied, 23487713 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2345 we get the alternative equations : 0=p20 0=q39 New level : 1.1.1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2625 : 0=p20 e_2412,e_2172,e_2454,e_2255,e_640,e_2182,e_1923 are consequences of e_2625 Step 3374: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q58,q57,q56,q55,q39,q36,q35,q30,q28,q23,q9,q7,q6,q4,q2,q1,p21,p20, p16,p11,p10,p9,p8,p5,p4 New ordering: q58,q57,q56,q55,q39,q36,q35,q30,q28,q23,q9,q7,q6,q4,q2,q1,p21,p20, p11,p10,p9,p8,p5,p16,p4 The list of inequalities got extended by: An expression with 32 terms e_2470,e_584 are consequences of e_1626 e_2480 is a consequence of e_1924.e_2285,e_2458,e_2457,e_1848,e_1422,e_2453, e_2358,e_1596,e_1951,e_1691,e_2455,e_2456,e_1979,e_1425 are consequences of e_2480 e_2481 is a consequence of e_1614.e_1632 is a consequence of e_1780 e_2090,e_1608,e_1627,e_1671,e_1447 are consequences of e_2384 e_1805 is a consequence of e_2289. e_2194 is a consequence of e_2384. e_2391 is a consequence of e_2384. Substitution of p20 found in e_2625 : p20=0 Step 3375: Hot list 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 31 terms Substitution of q1 found in e_736 : q1=0 Step 3376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 29 terms Substitution of q39 found in e_1924 : q39=0 Step 3377: Hot list 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 17 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q23 found in e_1331 : q23=0 Step 3378: Hot list 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 12 terms The list of inequalities got extended by: An expression with 21 terms e_2174,e_2212,e_1036 are consequences of e_2408 e_1585 is a consequence of e_1364. e_2479 is a consequence of e_2494. e_2552 is a consequence of e_2408. e_2553 is a consequence of e_2551. e_2556 is a consequence of e_2408.e_2549,e_1694 are consequences of e_2557 e_2565 is a consequence of e_2557. e_2569 is a consequence of e_2557. e_2575 is a consequence of e_2557. e_2576 is a consequence of e_2557. Substitution of q55 found in e_1626 : q55=0 Step 3379: Hot list 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 20 terms e_2370 is a consequence of e_2384. e_2578 is a consequence of e_2408. e_2554 is a consequence of e_2384. e_1911 is a consequence of e_2289. e_2346 is a consequence of e_2289. e_2579 is a consequence of e_2384.e_2540 is a consequence of e_1722 *** Garbage collection starting *** GC 1068 5-Oct-2003 00:22:16, 70 ms (0%), 1480249 occupied, 23519676 free Substitution of q6 found in e_1780 : q6=0 Step 3380: Hot list 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 19 terms e_2570 is a consequence of e_2557. e_1406 is a consequence of e_2557.e_2382,e_2395,e_2396,e_2397,e_2400,e_1729, e_1592,e_2442 are consequences of e_2580 e_2488 is a consequence of e_2289. e_1587 is a consequence of e_1722. Substitution of q35 found in e_2384 : q35=0 Step 3381: Hot list 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 e_2188 is a consequence of e_2289. e_1404 is a consequence of e_2289. e_1722 is a consequence of e_2289. e_2548 is a consequence of e_2408. e_2547 is a consequence of e_2544. e_2529 is a consequence of e_2289. e_2530 is a consequence of e_2289. e_2526 is a consequence of e_2289. e_2526 is a consequence of e_2496. Substitution of q2 found in e_2302 : q2=0 Step 3382: Hot list 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 17 terms e_2562 is a consequence of e_2557. e_2581 is a consequence of e_2557. e_2559 is a consequence of e_2557. e_2567 is a consequence of e_2557. e_2564 is a consequence of e_2557. e_2563 is a consequence of e_2557. e_2582 is a consequence of e_2557. e_2572 is a consequence of e_2557. e_2571 is a consequence of e_2557. Substitution of q28 found in e_2408 : q28=0 Step 3383: Hot list 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 15 terms e_1649,e_2544,e_2551 are consequences of e_2443 e_2546 is a consequence of e_2443. e_2545 is a consequence of e_2443. e_2573 is a consequence of e_2443. e_2506 is a consequence of e_1364. e_2508 is a consequence of e_2289. e_2469 is a consequence of e_2289. e_2566 is a consequence of e_2443. e_2558 is a consequence of e_2234. e_2568 is a consequence of e_2443. e_2560 is a consequence of e_2443. e_2577 is a consequence of e_2443. e_2561 is a consequence of e_2443. e_2574 is a consequence of e_2443. Substitution of q30 found in e_2557 : q30=0 Step 3384: Hot list 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 14 terms e_2550 is a consequence of e_1412 e_2510 is a consequence of e_2367. e_1891 is a consequence of e_2367. e_2524 is a consequence of e_1412. Substitution of q9 found in e_2580 : q9=0 Step 3385: Hot list 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 13 terms e_2555 is a consequence of e_1412. e_2505 is a consequence of e_1934. Substitution of q57 found in e_2443 : q57=0 Step 3386: Hot list 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 12 terms e_2109,e_2483,e_2485,e_2509,e_2074,e_2496,e_2363,e_2417,e_1583,e_1648,e_1614, e_1588,e_2289,e_2367,e_2300 are consequences of e_2385 e_2486 is a consequence of e_2385. e_2489 is a consequence of e_2385. e_2532 is a consequence of e_2385. e_2542 is a consequence of e_2385. e_2533 is a consequence of e_2385. Substitution of q4 found in e_1412 : q4=0 Step 3387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0082*q58 + g0084*q56 The list of inequalities got extended by: An expression with 3 terms q7 The list of inequalities got extended by: q36 The list of inequalities got extended by: p5 The list of inequalities got extended by: An expression with 8 terms Substitution of q36 found in e_2385 : q36=0 leads to a contradiction in : 0=q36 - q7 Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: p20 The lexicographical ordering of unknowns is changed because p20 has to be non-zero, giving p20 a low priority. Old ordering: q58,q57,q56,q55,q39,q36,q35,q30,q28,q23,q9,q7,q6,q4,q2,q1,p21,p20, p16,p11,p10,p9,p8,p5,p4 New ordering: q58,q57,q56,q55,q39,q36,q35,q30,q28,q23,q9,q7,q6,q4,q2,q1,p21,p16, p11,p10,p9,p8,p5,p20,p4 New level : 1.1.1.1.1.1.1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_2625 : 0=q39 e_2285,e_2458,e_2457,e_1848,e_1422,e_2453,e_2358,e_1596,e_1951,e_1741,e_1691, e_2455,e_2456,e_1979,e_1425,e_1924 are consequences of e_2625 Step 3388: 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 21 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q39 found in e_2625 : q39=0 Step 3389: Hot list 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 33 terms Substitution of q1 found in e_2182 : q1=0 Step 3390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q9 found in e_1923 : q9=0 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 11 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 32 terms e_2256 is a consequence of e_2441. e_1648 is a consequence of e_2255. Substitution of q23 by an expression in q7 found in e_640 : 1 q23=---*q7 4 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 33 terms e_2311 is a consequence of e_1828. Substitution of q28 by an expression in q56, p9, p20, p4 found in e_2263 : - p4*q56 + p9*q56 q28=-------------------- p20 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 33 terms e_1828 is a consequence of e_584. Substitution of q56 by an expression in q55, p20, p4 found in e_2487 : p20*q55 q56=--------- p4 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 35 terms *** Garbage collection starting *** GC 1069 5-Oct-2003 00:22:21, 50 ms (0%), 1335267 occupied, 23664680 free Substitution of q30 by an expression in q58, q55, p10, p20, p4 found in e_2521 : 11 factors in 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 : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 37 terms Substitution of q2 by an expression in q36, q7, p10, p4 found in e_2454 : 10 factors in 4 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 2 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 1 term 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 : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term e_2617 is a consequence of e_1730. Step 3400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 Step 3410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms 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 3 terms 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 2 terms 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 37 terms e_2485 is a consequence of e_2465. e_2482 is a consequence of e_2465. e_2482 is a consequence of e_1671. e_2443 is a consequence of e_2465. e_2443 is a consequence of e_1627. e_2369 is a consequence of e_2465. e_2369 is a consequence of e_2090. e_1364 is a consequence of e_2465. e_1780 is a consequence of e_2465. Substitution of q7 by an expression in q35, p5, p20 found in e_2493 : - 4*p5*q35 q7=------------- p20 Step 3421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 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 2 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 1 term Step 3428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 4 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 4 terms 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 2 terms e_1759 is a consequence of e_1588. Step 3432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 38 terms Substitution of q6 by an expression in q36, q35, p16, p20, p4 found in e_2615 : 11 factors in 3 terms Step 3434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 1070 5-Oct-2003 00:22:24, 60 ms (0%), 1360161 occupied, 23639785 free shortening by 2 terms Step 3437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 39 terms Substitution of q4 by an expression in q36, p16, p10, p20, p4 found in e_2318 : 10 factors in 3 terms Step 3438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 49 terms e_2502 is a consequence of e_1588. e_2616 is a consequence of e_1614. Substitution of q35 by an expression in q36, p16, p10, p20, p4 found in e_2345 : 9 factors in 3 terms 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 e_2632 is a consequence of e_584. Step 3441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 2 terms 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 2 terms 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 5 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 1 term Step 3453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 1 term 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 2 terms 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 2 terms Step 3459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 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 1 term 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 2 terms 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 1 term 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 1 term 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 4 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 1 term Step 3472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 2 terms Step 3481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2596 is a consequence of e_2613 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_1759 is a consequence of e_2594. 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 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 1 term 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 1 term 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 2 terms e_2598 is a consequence of e_1338 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 1 term e_2586 is a consequence of e_2594. 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 1 term e_2499 is a consequence of e_2600. 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 1 term 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 1 term 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 1 term Step 3496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2456 is a consequence of e_2613. Step 3497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2256 is a consequence of e_2613. Step 3499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 : shortening by 2 terms Step 3507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 1 term Step 3511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 1071 5-Oct-2003 00:22:27, 60 ms (0%), 1367611 occupied, 23632335 free shortening by 2 terms 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 e_1722 is a consequence of e_2594. Step 3523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 4 terms e_2546,e_2501,e_2570,e_2594 are consequences of e_1729 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 e_2609,e_1780,e_2600,e_2604,e_1614 are consequences of e_2621 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 e_2571 is a consequence of e_2396 Step 3529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2542,e_2535,e_2533,e_1741,e_2624,e_2534,e_2311,e_2622,e_2074,e_2285,e_2453, e_2623,e_2516,e_2555,e_2632,e_1596,e_1848,e_2457,e_2358,e_2458,e_2630,e_2631, e_2625,e_1923,e_1422,e_2382,e_2614,e_2626,e_2629,e_2576,e_1347,e_2521,e_2591, e_2502,e_2627,e_2553,e_2318,e_1911,e_1648,e_2551,e_2364,e_2573,e_1588,e_2613, e_1338,e_1729,e_2621,e_2396 are consequences of e_2426 Step 3530: Hot list 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 11 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q36 found in e_2426 : q36=0 Step 3531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q58 from e_2171 and e_1744. e_2171: 0=(p20*q55 - p4*q58)*(p4 - p9) is replaced by e_640: 0=q55*(p4 - p9) e_2174,e_1036,e_2263 are consequences of e_640 Step 3536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 3 terms Step 3539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1072 5-Oct-2003 00:22:31, 60 ms (0%), 1339193 occupied, 23660753 free shortening by 1 term Step 3544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 2 terms Step 3548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 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 2 terms 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 2 terms Step 3560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2522 and e_2369. e_2369: 2 terms, 6 factors, with derivatives of functions of all variables: (q58,q55,p10,p5,p20,p4) is replaced by e_2499: 0=q55*(3*p10 - 4*p5) e_2499 is a consequence of e_2520. Step 3562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2522 and e_1754. e_1754: 4 terms, 12 factors, with derivatives of functions of all variables: (q58,q55,p10,p9,p20,p4) is replaced by e_2617: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q55,p10,p9,p4) Step 3563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1073 5-Oct-2003 00:22:34, 60 ms (0%), 1383026 occupied, 23616863 free Eliminate q58 from e_2522 and e_2557. e_2557: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 (q58,q57,q55,p10 ,p10,p20,p4) is replaced by e_2554: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q57,q55,p10 ,p10,p4) Step 3564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q57 from e_2554 and e_1309. e_2554: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q57,q55,p10 ,p10,p4) is replaced by e_2456: 0=p10*q55 e_2470 is a consequence of e_2456 Step 3565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 22 terms e_2618 is a consequence of e_584. e_2545 is a consequence of e_2456. e_2109 is a consequence of e_2456. e_2592 is a consequence of e_2456. Substitution of q57 by an expression in q55, p11, p10, p9, p4 found in e_2468 : 14 factors in 5 terms Step 3573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 2 terms Step 3586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 3 terms Step 3598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 3601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms Step 3605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 4 terms Step 3609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2613 is a consequence of e_640. 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 3 terms 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 2 terms Step 3615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 3619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 3 terms 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 3 terms 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 3 terms 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 3 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 4 terms 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 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 4 terms 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 2 terms 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 3 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 2 terms Step 3635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2516,e_2397 are consequences of e_1364 Step 3638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms e_2559 is a consequence of e_1364. Step 3647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms e_2510 is a consequence of e_1364. Step 3650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 3651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 3654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1074 5-Oct-2003 00:22:37, 60 ms (0%), 1361011 occupied, 23638868 free *** Garbage collection starting *** GC 1075 5-Oct-2003 00:22:40, 60 ms (0%), 1363952 occupied, 23635924 free *** Garbage collection starting *** GC 1076 5-Oct-2003 00:22:44, 50 ms (0%), 1358708 occupied, 23641175 free *** Garbage collection starting *** GC 1077 5-Oct-2003 00:22:47, 50 ms (0%), 1356899 occupied, 23642976 free *** Garbage collection starting *** GC 1078 5-Oct-2003 00:22:51, 60 ms (0%), 1339423 occupied, 23660457 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1364 we get the alternative equations : 0=q55 0=p9 0=p11 New level : 1.1.1.1.1.1.1.1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_2691 : 0=q55 e_2577,e_1036,e_2508,e_2174,e_2513,e_2624,e_2535,e_2443,e_2629,e_2614,e_1422, e_2625,e_1848,e_2542,e_2171,e_2489,e_2311,e_1741,e_2518,e_1648,e_2627,e_2632, e_2453,e_2182,e_1347,e_2586,e_2364,e_2318,e_2591,e_2525,e_2617,e_1588,e_2074, e_2378,e_2520,e_640,e_2414,e_584,e_2209,e_2456 are consequences of e_2691 Step 3656: Hot list of urgent steps : The list of inequalities got extended by: p10 q58 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q58,q55,p21,p16,p11,p10,p9,p8,p5,p20,p4 New ordering: q58,q55,p21,p16,p11,p9,p8,p5,p10,p20,p4 The lexicographical ordering of unknowns is changed because q58 has to be non-zero, giving q58 a low priority. Old ordering: q58,q55,p21,p16,p11,p9,p8,p5,p10,p20,p4 New ordering: q55,q58,p21,p16,p11,p9,p8,p5,p10,p20,p4 The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q55,q58,p21,p16,p11,p9,p8,p5,p10,p20,p4 New ordering: q55,q58,p21,p16,p11,p8,p5,p9,p10,p20,p4 The list of inequalities got extended by: An expression with 7 terms Substitution of q55 found in e_2691 : q55=0 leads to a contradiction in : 9 factors in 3 terms Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q58,q55,p21,p16,p11,p10,p9,p8,p5,p20,p4 New ordering: q58,q55,p21,p16,p11,p10,p8,p5,p9,p20,p4 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: q58,q55,p21,p16,p11,p10,p8,p5,p9,p20,p4 New ordering: q58,q55,p21,p11,p10,p8,p5,p16,p9,p20,p4 The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q58,q55,p21,p11,p10,p8,p5,p16,p9,p20,p4 New ordering: q58,q55,p21,p10,p8,p5,p11,p16,p9,p20,p4 The list of inequalities got extended by: p5 The list of inequalities got extended by: q55 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: q58,q55,p21,p10,p8,p5,p11,p16,p9,p20,p4 New ordering: q58,q55,p21,p8,p10,p5,p11,p16,p9,p20,p4 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 140 ms The list of inequalities got extended by: p15 The lexicographical ordering of unknowns is changed because p15 has to be non-zero, giving p15 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,p21,p20,p16,p15,p11,p10,p9,p8,p5,p4 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,p21,p20,p16,p11,p10,p9,p8,p5,p4,p15 New level : 1.1.1.1.1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_2413 : 0=q39 e_1596,e_1951,e_1741,e_1425,e_2345,e_1924 are consequences of e_2413 Step 3657: Hot list of urgent steps : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q39 found in e_2413 : q39=0 Step 3658: Hot list 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_2159 is a consequence of e_858. Substitution of q52 found in e_868 : q52=0 Step 3659: Hot list 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_1821 is a consequence of e_2122. e_2234 is a consequence of e_1518. Substitution of q45 found in e_1430 : q45=0 Step 3660: Hot list 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 1079 5-Oct-2003 00:22:59, 50 ms (0%), 1431388 occupied, 23568559 free The list of inequalities got extended by: An expression with 22 terms Substitution of q57 found in e_1585 : q57=0 Step 3661: Hot list 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_1614 : q54=0 Step 3662: Hot list 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_1729 is a consequence of e_1606. e_1729 is a consequence of e_1632. Substitution of q53 found in e_1627 : q53=0 Step 3663: Hot list 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_1347 is a consequence of e_2200 Substitution of q48 found in e_1632 : q48=0 Step 3664: Hot list 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 18 terms Substitution of q55 found in e_1592 : q55=0 Step 3665: Hot list 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_1795 is a consequence of e_2313. e_1950 is a consequence of e_2200. e_2320 is a consequence of e_2001. e_1454 is a consequence of e_2268. e_2230 is a consequence of e_1289. Substitution of q40 found in e_1608 : q40=0 Step 3666: Hot list 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 16 terms Substitution of q36 found in e_1417 : q36=0 Step 3667: Hot list 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 q49 found in e_1855 : q49=0 Step 3668: Hot list 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 e_1096 is a consequence of e_2153. e_1406 is a consequence of e_1732. Substitution of q12 found in e_1742 : q12=0 Step 3669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms e_2211 is a consequence of e_1878. Substitution of q26 found in e_858 : q26=0 Step 3670: Hot list 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 q18 found in e_1830 : q18=0 Step 3671: Hot list 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_2373 is a consequence of e_1351. e_1383 is a consequence of e_1351. Substitution of q44 found in e_1882 : q44=0 Step 3672: Hot list 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 q42 found in e_1351 : q42=0 Step 3673: Hot list 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 29 terms e_1687 is a consequence of e_2200. e_2382 is a consequence of e_2313. e_1326 is a consequence of e_2268. Substitution of q8 found in e_2001 : q8=0 Step 3674: Hot list 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 e_2335 is a consequence of e_2268. e_2383 is a consequence of e_2313. e_2350 is a consequence of e_2313. Substitution of q5 found in e_2200 : q5=0 Step 3675: Hot list 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_2154 is a consequence of e_2268. *** Garbage collection starting *** GC 1080 5-Oct-2003 00:23:03, 70 ms (0%), 1454150 occupied, 23545791 free Substitution of q21 found in e_2313 : q21=0 Step 3676: Hot list 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 Substitution of q37 found in e_2268 : q37=0 Step 3677: Hot list 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 q59 found in e_2380 : q59=0 Step 3678: Hot list 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_2336 is a consequence of e_2334. e_2361 is a consequence of e_2284. e_1760 is a consequence of e_2288. e_1822 is a consequence of e_2146. Substitution of q51 by an expression in q46 found in e_2062 : 1 q51= - ---*q46 2 Step 3679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms e_1995 is a consequence of e_2179. e_2208 is a consequence of e_1032.e_2338,e_2176,e_2136,e_1703,e_1896,e_2220 are consequences of e_2279 Substitution of q11 by an expression in q13, p4, p15 found in e_1984 : - 2*p4*q13 q11=------------- p15 Step 3680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 13 terms e_2146 is a consequence of e_2254.e_2137,e_697,e_2288,e_2284,e_2334,e_2165, e_1445,e_1383 are consequences of e_1823 e_1882 is a consequence of e_1823. e_1351 is a consequence of e_1823. Substitution of q46 by an expression in q50, p4, p15 found in e_1441 : 10 factors in 3 terms Step 3681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 14 terms e_1923 is a consequence of e_2254. Substitution of q35 by an expression in q50, p11, p10, p15 found in e_2069 : 8 factors in 3 terms Step 3682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 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 q29 by an expression in q31, q14, p10, p15 found in e_2376 : 10 factors in 3 terms Step 3683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 1081 5-Oct-2003 00:23:07, 70 ms (0%), 1461408 occupied, 23538535 free The list of inequalities got extended by: An expression with 15 terms Substitution of q43 by an expression in q47, p4, p15 found in e_2354 : - p15*q47 + p4*q47 q43=--------------------- p15 Step 3684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 18 terms Substitution of q34 by an expression in q38, q19, q7, p20, p4, p15 found in e_2275 : 18 factors in 5 terms Step 3685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1082 5-Oct-2003 00:23:10, 80 ms (0%), 1472780 occupied, 23527166 free shortening by 1 term Step 3729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2367 is a consequence of e_1337. Step 3736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_858 is a consequence of e_2122. Step 3738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 27 terms e_2332 is a consequence of e_2168. e_1624 is a consequence of e_2178. e_1751 is a consequence of e_304. e_1751 is a consequence of e_2019. e_2055 is a consequence of e_304. e_2055 is a consequence of e_1657. e_2198 is a consequence of e_304. e_2146 is a consequence of e_304. Substitution of q10 by an expression in q19, p11, p15 found in e_2267 : p11*q19 q10=--------- p15 Step 3740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2406 is a consequence of e_304. e_2406 is a consequence of e_2363. Step 3742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1425 is a consequence of e_2122. Step 3748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1741 is a consequence of e_1823. Step 3749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2424 is a consequence of e_2254. Step 3757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2471 is a consequence of e_2254. Step 3788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1083 5-Oct-2003 00:23:15, 80 ms (0%), 1465794 occupied, 23534151 free shortening by 1 term Step 3814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 27 terms e_1904 is a consequence of e_2363. e_1730 is a consequence of e_2178. e_2226 is a consequence of e_2019. e_2368 is a consequence of e_1657. e_2368 is a consequence of e_2233. Substitution of q50 by an expression in q19, p16, p15 found in e_2380 : 2 - ---*p16*q19 3 q50=---------------- p15 Step 3819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 3853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1084 5-Oct-2003 00:23:19, 70 ms (0%), 1472368 occupied, 23527575 free shortening by 2 terms Step 3868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1592 is a consequence of e_2306. Step 3874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2477 is a consequence of e_1792. Step 3899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2289 is a consequence of e_2471. Step 3908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2274,e_1700,e_2077,e_2284,e_697,e_2366,e_2435,e_2470 are consequences of e_2211 Step 3918: Hot list 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 24 terms e_1898 is a consequence of e_2176. *** Garbage collection starting *** GC 1085 5-Oct-2003 00:23:23, 70 ms (0%), 1471068 occupied, 23528874 free Substitution of q38 found in e_2211 : q38=0 Step 3919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1830 is a consequence of e_1792. Step 3931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 3950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_744 is a consequence of e_2425. Step 3959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1454 is a consequence of e_1451. Step 3968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2359,e_2218,e_2389 are consequences of e_2383 Step 3969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1086 5-Oct-2003 00:23:28, 70 ms (0%), 1461880 occupied, 23538064 free shortening by 1 term Step 3971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2285 is a consequence of e_2383. e_2285 is a consequence of e_1657. Step 3972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2341 is a consequence of e_2446. Step 3975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 3982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2430 is a consequence of e_2383. Step 3983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1087 5-Oct-2003 00:23:33, 80 ms (0%), 1599189 occupied, 23400682 free Eliminate q6 from e_2446 and e_1437. e_1437: 0=(2*q24 - q6)*p11 is replaced by e_2114: 0=p11*q24 Step 3984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q19 from e_2178 and e_2169. e_2169: 0=(2*q16 - q19)*p5 is replaced by e_1828: 0=p5*q16 Step 3988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_2241 and e_1435. e_1435: 0=(2*q1 - q25)*p20 is replaced by e_2161: 0=p20*q1 Step 3990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q1 from e_2161 and e_1025. e_1025: 0=(q1 + 3*q25)*p20 is replaced by e_1417: 0=p20*q25 e_1417 is a consequence of e_2241. Step 3991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1088 5-Oct-2003 00:23:39, 70 ms (0%), 1553613 occupied, 23446260 free Eliminate q19 from e_2363 and e_1364. e_1364: 0=(q19 + q23)*p4 is replaced by e_1691: 0=p4*q23 Step 3992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q58 from e_2395 and e_1722. e_2395: 0=(16*q56 + 5*q58)*p21 is replaced by e_2338: 0=p21*q56 Step 3995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 3996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q56 from e_2338 and e_1722. e_1722: 0=(q56 - q58)*p21 is replaced by e_2152: 0=p21*q58 Step 3997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1089 5-Oct-2003 00:23:45, 80 ms (0%), 1560834 occupied, 23439063 free *** Garbage collection starting *** GC 1090 5-Oct-2003 00:23:51, 80 ms (0%), 1565971 occupied, 23433913 free *** Garbage collection starting *** GC 1091 5-Oct-2003 00:23:58, 80 ms (0%), 1575051 occupied, 23424841 free *** Garbage collection starting *** GC 1092 5-Oct-2003 00:24:04, 80 ms (0%), 1585322 occupied, 23414560 free *** Garbage collection starting *** GC 1093 5-Oct-2003 00:24:11, 80 ms (0%), 1596493 occupied, 23403389 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_2279 we get the alternative equations : 0=p4 0=q13 New level : 1.1.1.1.1.1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_2525 : 0=p4 e_1478,e_1780,e_2012,e_1897,e_690,e_2252,e_2363,e_2201,e_1968,e_1691 are consequences of e_2525 Step 3998: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 12 terms e_1454 is a consequence of e_2261.e_2257,e_1674,e_1849,e_2348,e_1738,e_2194, e_1338 are consequences of e_2218 e_1768,e_1209,e_2153,e_1614,e_2359 are consequences of e_2403 e_1976 is a consequence of e_1828. e_984 is a consequence of e_3.e_2396 is a consequence of e_2392 e_2280,e_1309,e_2230,e_2392 are consequences of e_2113 *** Garbage collection starting *** GC 1094 5-Oct-2003 00:24:14, 80 ms (0%), 1491539 occupied, 23508399 free Substitution of p4 found in e_2525 : p4=0 Step 3999: Hot list 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 q41 found in e_2218 : q41=0 Step 4000: Hot list 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 q22 found in e_2403 : q22=0 Step 4001: Hot list 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_380 is a consequence of e_1880. Substitution of q47 found in e_2113 : q47=0 Step 4002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 24 terms Substitution of q3 by an expression in q23, p10, p15 found in e_2341 : - p10*q23 q3=------------ p15 Step 4003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms e_1435 is a consequence of e_2352. e_1435 is a consequence of e_2165. e_1608 is a consequence of e_2165. e_1608 is a consequence of e_2179. e_697 is a consequence of e_2352. e_2285 is a consequence of e_2165. Substitution of q17 by an expression in q13, p5, p15 found in e_1986 : - 4*p5*q13 q17=------------- p15 Step 4004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 26 terms e_2430 is a consequence of e_2352. e_2430 is a consequence of e_2165. e_2001 is a consequence of e_2165. e_2001 is a consequence of e_1032. e_2412 is a consequence of e_2165. e_2412 is a consequence of e_2179. e_1881 is a consequence of e_2352. e_2231 is a consequence of e_2165. e_2269 is a consequence of e_2165. e_2293 is a consequence of e_2352. e_2293 is a consequence of e_2165. e_2284 is a consequence of e_2352. e_2284 is a consequence of e_2165. Substitution of q15 by an expression in q13, p5, p15 found in e_1863 : - 2*p5*q13 q15=------------- p15 Step 4005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 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 q14 by an expression in q23, q13, p21, p5, p15 found in e_2477 : 7 factors in 3 terms Step 4006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 32 terms *** Garbage collection starting *** GC 1095 5-Oct-2003 00:24:18, 70 ms (0%), 1503735 occupied, 23496203 free Substitution of q31 by an expression in q13, q7, p21, p11, p10, p15 found in e_1624 : 9 factors in 4 terms Step 4007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q56 by an expression in q58, q28, q13, p20, p9, p15 found in e_2289 : 18 factors in 5 terms Step 4008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1738 is a consequence of e_2229. Step 4009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2218 is a consequence of e_2165. Step 4023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2403 is a consequence of e_2165. Step 4024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1096 5-Oct-2003 00:24:22, 70 ms (0%), 1500981 occupied, 23498958 free shortening by 1 term Step 4102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1738 is a consequence of e_1880. Step 4118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 4160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 33 terms e_2136 is a consequence of e_2179. e_1674 is a consequence of e_2179. Substitution of q58 by an expression in q13, p20, p9, p15 found in e_2447 : 8 factors in 3 terms Step 4170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1097 5-Oct-2003 00:24:26, 70 ms (0%), 1497345 occupied, 23502592 free shortening by 2 terms Step 4195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2113 is a consequence of e_2387 Step 4210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_574 is a consequence of e_2387. Step 4211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2294 is a consequence of e_1880. Step 4213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2403 is a consequence of e_1880. Step 4214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2288 is a consequence of e_1880. Step 4218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2493 is a consequence of e_1880. Step 4225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2320 is a consequence of e_1880. Step 4226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2527 is a consequence of e_1880. Step 4227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2494 is a consequence of e_1880. Step 4229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1976 is a consequence of e_2354. Step 4230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1338 is a consequence of e_1880. Step 4235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2012 is a consequence of e_1880. Step 4236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2367 is a consequence of e_2229. Step 4249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2411 is a consequence of e_2439. Step 4252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1819 is a consequence of e_1700. Step 4254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_1720 is a consequence of e_2229. Step 4258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1674 is a consequence of e_2354. Step 4261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1435 is a consequence of e_1025. Step 4279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1849 is a consequence of e_1025. Step 4280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2422 is a consequence of e_1032. Step 4282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1098 5-Oct-2003 00:24:30, 70 ms (0%), 1487981 occupied, 23511959 free shortening by 1 term Step 4291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1099 5-Oct-2003 00:24:36, 70 ms (0%), 1487623 occupied, 23512319 free shortening by 1 term Step 4310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1981,e_2489,e_2146,e_2406 are consequences of e_2409 Step 4317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1760 is a consequence of e_2488. Step 4318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1209 is a consequence of e_2488. e_1209 is a consequence of e_1700. Step 4319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_2077 is a consequence of e_2488. Step 4320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2176 is a consequence of e_2409. Step 4322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2527 is a consequence of e_2387. Step 4325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2289 is a consequence of e_2488. Step 4331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_2366 is a consequence of e_2488. Step 4332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2012 is a consequence of e_2492. Step 4337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_2528,e_2494,e_1700,e_2387,e_2488,e_2409 are consequences of e_2516 Step 4340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1441 is a consequence of e_2516. Step 4342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2463 is a consequence of e_2516. Step 4343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2208 is a consequence of e_2516. Step 4344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2286 is a consequence of e_2516. Step 4345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2465 is a consequence of e_2516. Step 4346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1897 is a consequence of e_2516. Step 4347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_1632 and e_1600. e_1632: 0=(23*q13 - 9*q28)*p9 is replaced by e_690: 0=p9*q13 Step 4348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 34 terms e_2396 is a consequence of e_2516. e_1592 is a consequence of e_2352. e_2491 is a consequence of e_1032. Substitution of q32 by an expression in q13, p11, p10, p15 found in e_1720 : 8 factors in 3 terms Step 4356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 1100 5-Oct-2003 00:24:41, 80 ms (0%), 1481481 occupied, 23518462 free --- Algebraic length reduction of equations : shortening by 2 terms Step 4357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 4360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 4370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1435 is a consequence of e_2352. Step 4371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_2479 is a consequence of e_2404 Step 4378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 35 terms e_2220 is a consequence of e_2516. e_1780 is a consequence of e_2352. e_1437 is a consequence of e_1032. e_2503 is a consequence of e_2179. Substitution of q30 by an expression in q13, p11, p10, p15 found in e_2502 : 8 factors in 3 terms Step 4383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 4414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q13 from e_690 and e_1600. e_1600: 0=(2*q13 - q28)*p9 is replaced by e_2055: 0=p9*q28 Step 4415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1101 5-Oct-2003 00:24:48, 70 ms (0%), 1482926 occupied, 23516952 free *** Garbage collection starting *** GC 1102 5-Oct-2003 00:25:00, 70 ms (0%), 1497411 occupied, 23502462 free Eliminate q7 from e_1880 and e_1951. e_1951: 0=(q19 + q23 - q7)*p20 is replaced by e_2299: 0=(q19 + q23)*p20 Step 4416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q19 from e_2168 and e_2299. e_2299: 0=(q19 + q23)*p20 is replaced by e_2493: 0=p20*q23 e_2529,e_1025 are consequences of e_2493 Step 4417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q24 from e_1863 and e_2532. e_2532: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q6,p20,p16) is replaced by e_2320: 0=q6*(2*p16 - 3*p20) Step 4418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q24 from e_1863 and e_2321. e_2321: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q6,p20,p16) is replaced by e_2501: 0=q6*(p16 - p20) Step 4419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1103 5-Oct-2003 00:25:11, 70 ms (0%), 1489619 occupied, 23510260 free *** Garbage collection starting *** GC 1104 5-Oct-2003 00:25:24, 70 ms (0%), 1502037 occupied, 23497839 free *** Garbage collection starting *** GC 1105 5-Oct-2003 00:25:38, 70 ms (0%), 1487042 occupied, 23512828 free *** Garbage collection starting *** GC 1106 5-Oct-2003 00:25:53, 70 ms (0%), 1490943 occupied, 23508925 free *** Garbage collection starting *** GC 1107 5-Oct-2003 00:26:10, 80 ms (0%), 1483913 occupied, 23515964 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_690 we get the alternative equations : 0=q13 0=p9 New level : 1.1.1.1.1.1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_2561 : 0=q13 e_2401,e_1209,e_744,e_2489,e_2096,e_1760,e_2363,e_2455,e_1624,e_2480,e_2406, e_2484,e_2395,e_2192,e_2499,e_2354,e_2504,e_2267,e_2234,e_2179,e_1032,e_2165, e_2352,e_2516 are consequences of e_2561 Step 4420: Hot list of urgent steps : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q13 found in e_2561 : q13=0 Step 4421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 4423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1108 5-Oct-2003 00:26:17, 70 ms (0%), 1477018 occupied, 23522861 free Eliminate q23 from e_2316 and e_2418. e_2418: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q23,q7,q2,p11,p10,p9,p5,p15 ,p15) is replaced by e_2237: 6 terms, 12 factors, with derivatives of functions of all variables: (q7,q2,p11,p9,p5,p15) Step 4424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_2390 and e_2415. e_2415: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q7,q2,p11,p5,p15) is replaced by e_2392: 5 terms, 10 factors, with derivatives of functions of all variables: (q7,q2,p11,p10,p5,p15) ***** PREMATURE STOP DUE TO TIME CONSTRAINT! Time: 207840 ms plus GC time: 2190 ms 4: Time: 0 ms 5: 5: n Time: 0 ms 6: Quitting