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: "bu243-31-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 N2f1b0t6s14w3. ####### The equation: f =D f *f*p1 + D f*D D f*p3 + D f*f *p5 + D D f *p7 + D D f*D f*p4 + D f *f*p2 t 2 x 2 1 2 2 x 1 2 2x 1 2 1 1 x + D f*f *p6 + f *p8 1 x 3x It's symmetry: f =D f *f*q1 + D f *D D f*q29 + D f *f *q44 + D f *D f*f*q3 s 2 5x 2 4x 1 2 2 4x x 2 3x 2 + D f *D D f *q45 + D f *D f*f*q4 + D f *f *q51 + D f *D f *f*q9 2 3x 1 2 x 2 3x 1 2 3x 2x 2 2x 2 x + D f *D f*D D f*q25 + D f *D f*f *q40 + D f *D D f *q60 2 2x 2 1 2 2 2x 2 x 2 2x 1 2 2x + D f *D D f*D f*q24 + D f *D f *f*q10 + D f *D f*f *q39 + D f *f *q65 2 2x 1 2 1 2 2x 1 x 2 2x 1 x 2 2x 3x 2 2 2 + (D f ) *D D f*q21 + (D f ) *f *q36 + D f *(D f) *f*q14 + D f *D f*D D f *q49 2 x 1 2 2 x x 2 x 2 2 x 2 1 2 x + D f *D f*D f*f*q15 + D f *D f*f *q55 + D f *D D f *q70 2 x 2 1 2 x 2 2x 2 x 1 2 3x + D f *D D f *D f*q50 + D f *D D f*D f *q22 + D f *D f *f*q7 2 x 1 2 x 1 2 x 1 2 1 x 2 x 1 2x 2 + D f *D f *f *q37 + D f *(D f) *f*q16 + D f *D f*f *q56 + D f *f *q68 2 x 1 x x 2 x 1 2 x 1 2x 2 x 4x 3 3 2 2 + (D f) *D D f*q17 + (D f) *f *q32 + (D f) *D D f *q57 + (D f) *D D f*D f*q19 2 1 2 2 x 2 1 2 2x 2 1 2 1 2 2 2 + (D f) *D f *f*q11 + (D f) *D f*f *q34 + (D f) *f *q62 + D f*D D f *q73 2 1 x 2 1 x 2 3x 2 1 2 4x + D f*D D f *D f*q58 + D f*D D f *D f *q47 + D f*D D f*D f *q27 2 1 2 2x 1 2 1 2 x 1 x 2 1 2 1 2x 2 + D f*D D f*(D f) *q18 - D f*D D f*f *f*q30 + D f*D f *f*q5 + D f*D f *f *q42 2 1 2 1 2 1 2 x 2 1 3x 2 1 2x x 2 + D f*D f *D f*f*q12 + D f*D f *f *q53 + D f*(D f) *f *q33 + D f*D f*f *q63 2 1 x 1 2 1 x 2x 2 1 x 2 1 3x + D f*f *q71 + D D f *q82 + D D f *D f*q74 + D D f *D f *q69 2 5x 1 2 6x 1 2 4x 1 1 2 3x 1 x 2 + D D f *D D f*f*q78 + D D f *D f *q61 + D D f *(D f) *q59 1 2 2x 1 2 1 2 2x 1 2x 1 2 2x 1 + D D f *f *f*q77 - D D f *D D f*f *q81 + D D f *D f *q46 1 2 2x x 1 2 x 1 2 x 1 2 x 1 3x + D D f *D f *D f*q48 - D D f *f *f*q79 + D D f*D f *q28 1 2 x 1 x 1 1 2 x 2x 1 2 1 4x 2 3 + D D f*D f *D f*q26 + D D f*(D f ) *q23 + D D f*(D f) *q20 1 2 1 2x 1 1 2 1 x 1 2 1 - D D f*D f*f *f*q31 - D D f*f *f*q76 + D D f*f *f *q80 + D f *f*q2 1 2 1 x 1 2 3x 1 2 2x x 1 5x + D f *f *q43 + D f *D f*f*q6 + D f *f *q52 + D f *D f *f*q8 1 4x x 1 3x 1 1 3x 2x 1 2x 1 x 2 2 + D f *D f*f *q41 + D f *f *q66 + (D f ) *f *q38 + D f *(D f) *f*q13 1 2x 1 x 1 2x 3x 1 x x 1 x 1 3 2 + D f *D f*f *q54 + D f *f *q67 + (D f) *f *q35 + (D f) *f *q64 1 x 1 2x 1 x 4x 1 x 1 3x + D f*f *q72 + f *q83 + f *f *f*q75 1 5x 7x 3x x {q82,q81,q80,q79,q78,q77,q76,q74,q73,q71,q70,q69,q68,q65,q63,q62,q61,q60,q59,q58 ,q57,q56,q55,q53,q51,q50,q49,q48,q47,q46,q45,q44,q42,q40,q39,q37,q36,q34,q33,q32 ,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q12,q11 ,q10,q9,q7,q5,q4,q3,q1,p7,p5,p4,p3,p1} {q82,q81,q80,q79,q78,q77,q76,q74,q73,q72,q70,q69,q67,q66,q64,q63,q61,q60,q59,q58 ,q57,q56,q54,q53,q52,q50,q49,q48,q47,q46,q45,q43,q42,q41,q39,q38,q37,q35,q34,q33 ,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q13,q12,q11 ,q10,q8,q7,q6,q5,q4,q2,p7,p6,p4,p3,p2} {q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68,q67,q66,q65,q64,q63,q62 ,q61,q60,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,p6, p5,p4,p3,p2,p1} {q83,q82,q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68,q67,q66,q65,q64 ,q63,q62,q61,q60,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} {p8,p7,p6,p5,p4,p3,p2,p1} Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(f,t)=D D f *p7 + f *p8 1 2 2x 3x df(f,s)=D D f *q82 + f *q83 1 2 6x 7x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(f,t)=D D f *p7 + f *p8 1 2 2x 3x df(f,s)=D f *f*q1 + D f *D D f*q29 + D f *f *q44 + D f *D D f *q45 2 5x 2 4x 1 2 2 4x x 2 3x 1 2 x + D f *f *q51 + D f *D D f *q60 + D f *f *q65 + D f *D D f *q70 2 3x 2x 2 2x 1 2 2x 2 2x 3x 2 x 1 2 3x + D f *f *q68 + D f*D D f *q73 + D f*f *q71 + D D f *D f*q74 2 x 4x 2 1 2 4x 2 5x 1 2 4x 1 + D D f *D f *q69 + D D f *D f *q61 + D D f *D f *q46 1 2 3x 1 x 1 2 2x 1 2x 1 2 x 1 3x + D D f*D f *q28 + D f *f*q2 + D f *f *q43 + D f *f *q52 1 2 1 4x 1 5x 1 4x x 1 3x 2x + D f *f *q66 + D f *f *q67 + D f*f *q72 1 2x 3x 1 x 4x 1 5x *** Garbage collection starting *** GC 1 31-Oct-2003 15:29:44, 10 ms (0%), 1041414 occupied, 23958538 free Pairing now degree 2 terms from the system with degree 1 terms from the symmetry df(f,t)=D f *f*p1 + D f*D D f*p3 + D f*f *p5 + D D f*D f*p4 + D f *f*p2 2 x 2 1 2 2 x 1 2 1 1 x + D f*f *p6 1 x df(f,s)=D D f *q82 + f *q83 1 2 6x 7x *** Garbage collection starting *** GC 2 31-Oct-2003 15:30:01, 20 ms (0%), 943072 occupied, 24056880 free Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry df(f,t)=D D f *p7 + f *p8 1 2 2x 3x df(f,s)=D f *D f*f*q3 + D f *D f*f*q4 + D f *D f *f*q9 + D f *D f*D D f*q25 2 3x 2 2 3x 1 2 2x 2 x 2 2x 2 1 2 + D f *D f*f *q40 + D f *D D f*D f*q24 + D f *D f *f*q10 2 2x 2 x 2 2x 1 2 1 2 2x 1 x 2 2 + D f *D f*f *q39 + (D f ) *D D f*q21 + (D f ) *f *q36 2 2x 1 x 2 x 1 2 2 x x + D f *D f*D D f *q49 + D f *D f*f *q55 + D f *D D f *D f*q50 2 x 2 1 2 x 2 x 2 2x 2 x 1 2 x 1 + D f *D D f*D f *q22 + D f *D f *f*q7 + D f *D f *f *q37 2 x 1 2 1 x 2 x 1 2x 2 x 1 x x 2 2 + D f *D f*f *q56 + (D f) *D D f *q57 + (D f) *f *q62 2 x 1 2x 2 1 2 2x 2 3x + D f*D D f *D f*q58 + D f*D D f *D f *q47 + D f*D D f*D f *q27 2 1 2 2x 1 2 1 2 x 1 x 2 1 2 1 2x + D f*D f *f*q5 + D f*D f *f *q42 + D f*D f *f *q53 2 1 3x 2 1 2x x 2 1 x 2x 2 + D f*D f*f *q63 + D D f *D D f*f*q78 + D D f *(D f) *q59 2 1 3x 1 2 2x 1 2 1 2 2x 1 + D D f *f *f*q77 - D D f *D D f*f *q81 + D D f *D f *D f*q48 1 2 2x x 1 2 x 1 2 x 1 2 x 1 x 1 2 - D D f *f *f*q79 + D D f*D f *D f*q26 + D D f*(D f ) *q23 1 2 x 2x 1 2 1 2x 1 1 2 1 x - D D f*f *f*q76 + D D f*f *f *q80 + D f *D f*f*q6 + D f *D f *f*q8 1 2 3x 1 2 2x x 1 3x 1 1 2x 1 x 2 2 + D f *D f*f *q41 + (D f ) *f *q38 + D f *D f*f *q54 + (D f) *f *q64 1 2x 1 x 1 x x 1 x 1 2x 1 3x + f *f *f*q75 3x x *** Garbage collection starting *** GC 3 31-Oct-2003 15:30:07, 20 ms (0%), 987612 occupied, 24012340 free *** Garbage collection starting *** GC 4 31-Oct-2003 15:30:10, 20 ms (0%), 1124858 occupied, 23875094 free *** Garbage collection starting *** GC 5 31-Oct-2003 15:30:13, 20 ms (0%), 1259002 occupied, 23740950 free *** Garbage collection starting *** GC 6 31-Oct-2003 15:30:16, 20 ms (0%), 1390430 occupied, 23609522 free *** Garbage collection starting *** GC 7 31-Oct-2003 15:30:21, 30 ms (0%), 1520340 occupied, 23479612 free *** Garbage collection starting *** GC 8 31-Oct-2003 15:31:25, 40 ms (0%), 1874288 occupied, 23125663 free *** Garbage collection starting *** GC 9 31-Oct-2003 15:33:37, 60 ms (0%), 2041612 occupied, 22958339 free *** Garbage collection starting *** GC 10 31-Oct-2003 15:35:49, 60 ms (0%), 2195282 occupied, 22804669 free *** Garbage collection starting *** GC 11 31-Oct-2003 15:38:02, 60 ms (0%), 2355498 occupied, 22644453 free *** Garbage collection starting *** GC 12 31-Oct-2003 15:40:14, 70 ms (0%), 2520370 occupied, 22479581 free *** Garbage collection starting *** GC 13 31-Oct-2003 15:42:27, 70 ms (0%), 2671898 occupied, 22328053 free *** Garbage collection starting *** GC 14 31-Oct-2003 15:44:40, 80 ms (0%), 2827708 occupied, 22172240 free *** Garbage collection starting *** GC 15 31-Oct-2003 15:46:52, 80 ms (0%), 2982272 occupied, 22017676 free *** Garbage collection starting *** GC 16 31-Oct-2003 15:49:05, 110 ms (0%), 3135100 occupied, 21864848 free *** Garbage collection starting *** GC 17 31-Oct-2003 15:51:18, 100 ms (0%), 3289568 occupied, 21710379 free *** Garbage collection starting *** GC 18 31-Oct-2003 15:53:32, 100 ms (0%), 3433596 occupied, 21566351 free *** Garbage collection starting *** GC 19 31-Oct-2003 15:55:45, 100 ms (0%), 3581294 occupied, 21418653 free *** Garbage collection starting *** GC 20 31-Oct-2003 15:57:59, 110 ms (0%), 3731920 occupied, 21268027 free *** Garbage collection starting *** GC 21 31-Oct-2003 16:00:12, 130 ms (0%), 3879174 occupied, 21120773 free *** Garbage collection starting *** GC 22 31-Oct-2003 16:02:26, 120 ms (0%), 4022642 occupied, 20977305 free *** Garbage collection starting *** GC 23 31-Oct-2003 16:04:40, 120 ms (0%), 4166176 occupied, 20833771 free *** Garbage collection starting *** GC 24 31-Oct-2003 16:06:54, 120 ms (0%), 4306608 occupied, 20693339 free *** Garbage collection starting *** GC 25 31-Oct-2003 16:09:08, 130 ms (0%), 4446710 occupied, 20553237 free *** Garbage collection starting *** GC 26 31-Oct-2003 16:11:23, 140 ms (0%), 4585332 occupied, 20414615 free *** Garbage collection starting *** GC 27 31-Oct-2003 16:13:38, 160 ms (0%), 4724902 occupied, 20275045 free *** Garbage collection starting *** GC 28 31-Oct-2003 16:15:53, 150 ms (0%), 4856480 occupied, 20143467 free *** Garbage collection starting *** GC 29 31-Oct-2003 16:18:09, 150 ms (0%), 4989634 occupied, 20010312 free *** Garbage collection starting *** GC 30 31-Oct-2003 16:20:26, 150 ms (0%), 5123468 occupied, 19876478 free *** Garbage collection starting *** GC 31 31-Oct-2003 16:22:43, 190 ms (0%), 5257344 occupied, 19742602 free *** Garbage collection starting *** GC 32 31-Oct-2003 16:25:02, 160 ms (0%), 5391600 occupied, 19608346 free *** Garbage collection starting *** GC 33 31-Oct-2003 16:27:22, 170 ms (0%), 5523132 occupied, 19476814 free *** Garbage collection starting *** GC 34 31-Oct-2003 16:29:43, 190 ms (0%), 5653540 occupied, 19346406 free *** Garbage collection starting *** GC 35 31-Oct-2003 16:32:27, 190 ms (0%), 5964644 occupied, 19035302 free *** Garbage collection starting *** GC 36 31-Oct-2003 16:36:53, 200 ms (0%), 6318224 occupied, 18681722 free Pairing now degree 2 terms from the system with degree 2 terms from the symmetry df(f,t)=D f *f*p1 + D f*D D f*p3 + D f*f *p5 + D D f*D f*p4 + D f *f*p2 2 x 2 1 2 2 x 1 2 1 1 x + D f*f *p6 1 x df(f,s)=D f *f*q1 + D f *D D f*q29 + D f *f *q44 + D f *D D f *q45 2 5x 2 4x 1 2 2 4x x 2 3x 1 2 x + D f *f *q51 + D f *D D f *q60 + D f *f *q65 + D f *D D f *q70 2 3x 2x 2 2x 1 2 2x 2 2x 3x 2 x 1 2 3x + D f *f *q68 + D f*D D f *q73 + D f*f *q71 + D D f *D f*q74 2 x 4x 2 1 2 4x 2 5x 1 2 4x 1 + D D f *D f *q69 + D D f *D f *q61 + D D f *D f *q46 1 2 3x 1 x 1 2 2x 1 2x 1 2 x 1 3x + D D f*D f *q28 + D f *f*q2 + D f *f *q43 + D f *f *q52 1 2 1 4x 1 5x 1 4x x 1 3x 2x + D f *f *q66 + D f *f *q67 + D f*f *q72 1 2x 3x 1 x 4x 1 5x *** Garbage collection starting *** GC 37 31-Oct-2003 16:39:07, 20 ms (0%), 1034704 occupied, 23965248 free *** Garbage collection starting *** GC 38 31-Oct-2003 16:40:08, 30 ms (0%), 1358470 occupied, 23641482 free *** Garbage collection starting *** GC 39 31-Oct-2003 16:42:51, 40 ms (0%), 1594152 occupied, 23405797 free *** Garbage collection starting *** GC 40 31-Oct-2003 16:44:49, 20 ms (0%), 1081596 occupied, 23918356 free Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(f,t)=D D f *p7 + f *p8 1 2 2x 3x 2 2 df(f,s)=D f *(D f) *f*q14 + D f *D f*D f*f*q15 + D f *(D f) *f*q16 2 x 2 2 x 2 1 2 x 1 3 3 2 + (D f) *D D f*q17 + (D f) *f *q32 + (D f) *D D f*D f*q19 2 1 2 2 x 2 1 2 1 2 2 2 + (D f) *D f *f*q11 + (D f) *D f*f *q34 + D f*D D f*(D f) *q18 2 1 x 2 1 x 2 1 2 1 2 - D f*D D f*f *f*q30 + D f*D f *D f*f*q12 + D f*(D f) *f *q33 2 1 2 x 2 1 x 1 2 1 x 3 2 + D D f*(D f) *q20 - D D f*D f*f *f*q31 + D f *(D f) *f*q13 1 2 1 1 2 1 x 1 x 1 3 + (D f) *f *q35 1 x *** Garbage collection starting *** GC 41 31-Oct-2003 16:45:03, 20 ms (0%), 1054618 occupied, 23945334 free *** Garbage collection starting *** GC 42 31-Oct-2003 16:45:07, 20 ms (0%), 1213952 occupied, 23786000 free *** Garbage collection starting *** GC 43 31-Oct-2003 16:46:07, 30 ms (0%), 1390328 occupied, 23609624 free *** Garbage collection starting *** GC 44 31-Oct-2003 16:47:12, 40 ms (0%), 1515330 occupied, 23484622 free *** Garbage collection starting *** GC 45 31-Oct-2003 16:48:19, 40 ms (0%), 1636718 occupied, 23363234 free *** Garbage collection starting *** GC 46 31-Oct-2003 16:49:28, 50 ms (0%), 1760556 occupied, 23239396 free *** Garbage collection starting *** GC 47 31-Oct-2003 16:50:39, 50 ms (0%), 1880872 occupied, 23119080 free *** Garbage collection starting *** GC 48 31-Oct-2003 16:51:53, 50 ms (0%), 1999666 occupied, 23000286 free *** Garbage collection starting *** GC 49 31-Oct-2003 16:53:11, 50 ms (0%), 2113424 occupied, 22886528 free *** Garbage collection starting *** GC 50 31-Oct-2003 16:54:44, 70 ms (0%), 2327060 occupied, 22672892 free Pairing now degree 2 terms from the system with degree 3 terms from the symmetry *** Garbage collection starting *** GC 51 31-Oct-2003 16:57:36, 10 ms (0%), 987330 occupied, 24012622 free df(f,t)=D f *f*p1 + D f*D D f*p3 + D f*f *p5 + D D f*D f*p4 + D f *f*p2 2 x 2 1 2 2 x 1 2 1 1 x + D f*f *p6 1 x df(f,s)=D f *D f*f*q3 + D f *D f*f*q4 + D f *D f *f*q9 + D f *D f*D D f*q25 2 3x 2 2 3x 1 2 2x 2 x 2 2x 2 1 2 + D f *D f*f *q40 + D f *D D f*D f*q24 + D f *D f *f*q10 2 2x 2 x 2 2x 1 2 1 2 2x 1 x 2 2 + D f *D f*f *q39 + (D f ) *D D f*q21 + (D f ) *f *q36 2 2x 1 x 2 x 1 2 2 x x + D f *D f*D D f *q49 + D f *D f*f *q55 + D f *D D f *D f*q50 2 x 2 1 2 x 2 x 2 2x 2 x 1 2 x 1 + D f *D D f*D f *q22 + D f *D f *f*q7 + D f *D f *f *q37 2 x 1 2 1 x 2 x 1 2x 2 x 1 x x 2 2 + D f *D f*f *q56 + (D f) *D D f *q57 + (D f) *f *q62 2 x 1 2x 2 1 2 2x 2 3x + D f*D D f *D f*q58 + D f*D D f *D f *q47 + D f*D D f*D f *q27 2 1 2 2x 1 2 1 2 x 1 x 2 1 2 1 2x + D f*D f *f*q5 + D f*D f *f *q42 + D f*D f *f *q53 2 1 3x 2 1 2x x 2 1 x 2x 2 + D f*D f*f *q63 + D D f *D D f*f*q78 + D D f *(D f) *q59 2 1 3x 1 2 2x 1 2 1 2 2x 1 + D D f *f *f*q77 - D D f *D D f*f *q81 + D D f *D f *D f*q48 1 2 2x x 1 2 x 1 2 x 1 2 x 1 x 1 2 - D D f *f *f*q79 + D D f*D f *D f*q26 + D D f*(D f ) *q23 1 2 x 2x 1 2 1 2x 1 1 2 1 x - D D f*f *f*q76 + D D f*f *f *q80 + D f *D f*f*q6 + D f *D f *f*q8 1 2 3x 1 2 2x x 1 3x 1 1 2x 1 x 2 2 + D f *D f*f *q41 + (D f ) *f *q38 + D f *D f*f *q54 + (D f) *f *q64 1 2x 1 x 1 x x 1 x 1 2x 1 3x + f *f *f*q75 3x x *** Garbage collection starting *** GC 52 31-Oct-2003 16:57:40, 20 ms (0%), 1119554 occupied, 23880398 free *** Garbage collection starting *** GC 53 31-Oct-2003 16:58:01, 30 ms (0%), 1328888 occupied, 23671064 free *** Garbage collection starting *** GC 54 31-Oct-2003 16:59:15, 30 ms (0%), 1479012 occupied, 23520940 free *** Garbage collection starting *** GC 55 31-Oct-2003 17:01:04, 40 ms (0%), 1705844 occupied, 23294108 free *** Garbage collection starting *** GC 56 31-Oct-2003 17:03:19, 50 ms (0%), 1800256 occupied, 23199696 free *** Garbage collection starting *** GC 57 31-Oct-2003 17:06:03, 60 ms (0%), 2092784 occupied, 22907166 free *** Garbage collection starting *** GC 58 31-Oct-2003 17:09:23, 60 ms (0%), 2103012 occupied, 22896938 free *** Garbage collection starting *** GC 59 31-Oct-2003 17:11:58, 20 ms (0%), 1139758 occupied, 23860194 free Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry df(f,t)=D f *f*p1 + D f*D D f*p3 + D f*f *p5 + D D f*D f*p4 + D f *f*p2 2 x 2 1 2 2 x 1 2 1 1 x + D f*f *p6 1 x 2 2 df(f,s)=D f *(D f) *f*q14 + D f *D f*D f*f*q15 + D f *(D f) *f*q16 2 x 2 2 x 2 1 2 x 1 3 3 2 + (D f) *D D f*q17 + (D f) *f *q32 + (D f) *D D f*D f*q19 2 1 2 2 x 2 1 2 1 2 2 2 + (D f) *D f *f*q11 + (D f) *D f*f *q34 + D f*D D f*(D f) *q18 2 1 x 2 1 x 2 1 2 1 2 - D f*D D f*f *f*q30 + D f*D f *D f*f*q12 + D f*(D f) *f *q33 2 1 2 x 2 1 x 1 2 1 x 3 2 + D D f*(D f) *q20 - D D f*D f*f *f*q31 + D f *(D f) *f*q13 1 2 1 1 2 1 x 1 x 1 3 + (D f) *f *q35 1 x *** Garbage collection starting *** GC 60 31-Oct-2003 17:13:27, 20 ms (0%), 1046538 occupied, 23953414 free *** Garbage collection starting *** GC 61 31-Oct-2003 17:13:48, 20 ms (0%), 1243258 occupied, 23756694 free *** Garbage collection starting *** GC 62 31-Oct-2003 17:14:45, 10 ms (0%), 1181614 occupied, 23818338 free Now crack is called. *** Garbage collection starting *** GC 63 31-Oct-2003 17:16:35, 20 ms (0%), 1191132 occupied, 23808820 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 72 terms The list of inequalities got extended by: An expression with 72 terms *** Garbage collection starting *** GC 64 31-Oct-2003 17:18:18, 20 ms (0%), 1157700 occupied, 23842252 free The list of inequalities got extended by: An expression with 87 terms The list of inequalities got extended by: An expression with 83 terms The list of inequalities got extended by: An expression with 8 terms *** Garbage collection starting *** GC 65 31-Oct-2003 17:18:19, 20 ms (0%), 1194199 occupied, 23805753 free *** Garbage collection starting *** GC 66 31-Oct-2003 17:18:25, 30 ms (0%), 1240959 occupied, 23758993 free *** Garbage collection starting *** GC 67 31-Oct-2003 17:18:27, 20 ms (0%), 1298819 occupied, 23701133 free *** Garbage collection starting *** GC 68 31-Oct-2003 17:19:27, 30 ms (0%), 1338037 occupied, 23661915 free *** Garbage collection starting *** GC 69 31-Oct-2003 17:20:29, 30 ms (0%), 1394509 occupied, 23605443 free *** Garbage collection starting *** GC 70 31-Oct-2003 17:21:24, 20 ms (0%), 1296433 occupied, 23703519 free *** Garbage collection starting *** GC 71 31-Oct-2003 17:21:25, 20 ms (0%), 1270885 occupied, 23729067 free *** Garbage collection starting *** GC 72 31-Oct-2003 17:22:35, 30 ms (0%), 1403639 occupied, 23596310 free *** Garbage collection starting *** GC 73 31-Oct-2003 17:23:43, 40 ms (0%), 1425231 occupied, 23574718 free *** Garbage collection starting *** GC 74 31-Oct-2003 17:24:51, 40 ms (0%), 1520249 occupied, 23479700 free *** Garbage collection starting *** GC 75 31-Oct-2003 17:25:59, 30 ms (0%), 1574031 occupied, 23425918 free *** Garbage collection starting *** GC 76 31-Oct-2003 17:27:07, 40 ms (0%), 1641157 occupied, 23358792 free *** Garbage collection starting *** GC 77 31-Oct-2003 17:28:15, 40 ms (0%), 1692949 occupied, 23307000 free *** Garbage collection starting *** GC 78 31-Oct-2003 17:29:23, 40 ms (0%), 1780613 occupied, 23219334 free *** Garbage collection starting *** GC 79 31-Oct-2003 17:30:30, 50 ms (0%), 1844271 occupied, 23155676 free *** Garbage collection starting *** GC 80 31-Oct-2003 17:31:37, 60 ms (0%), 1892967 occupied, 23106980 free *** Garbage collection starting *** GC 81 31-Oct-2003 17:32:45, 50 ms (0%), 1973285 occupied, 23026662 free *** Garbage collection starting *** GC 82 31-Oct-2003 17:33:52, 50 ms (0%), 2031665 occupied, 22968282 free *** Garbage collection starting *** GC 83 31-Oct-2003 17:34:59, 50 ms (0%), 2106979 occupied, 22892968 free *** Garbage collection starting *** GC 84 31-Oct-2003 17:36:06, 60 ms (0%), 2162467 occupied, 22837480 free *** Garbage collection starting *** GC 85 31-Oct-2003 17:37:13, 60 ms (0%), 2232951 occupied, 22766996 free *** Garbage collection starting *** GC 86 31-Oct-2003 17:38:20, 60 ms (0%), 2283377 occupied, 22716570 free *** Garbage collection starting *** GC 87 31-Oct-2003 17:39:27, 60 ms (0%), 2347337 occupied, 22652610 free *** Garbage collection starting *** GC 88 31-Oct-2003 17:40:34, 70 ms (0%), 2393873 occupied, 22606074 free *** Garbage collection starting *** GC 89 31-Oct-2003 17:41:41, 70 ms (0%), 2463599 occupied, 22536322 free *** Garbage collection starting *** GC 90 31-Oct-2003 17:42:48, 70 ms (0%), 2519923 occupied, 22479998 free *** Garbage collection starting *** GC 91 31-Oct-2003 17:43:55, 80 ms (0%), 2583443 occupied, 22416478 free *** Garbage collection starting *** GC 92 31-Oct-2003 17:45:01, 70 ms (0%), 2645287 occupied, 22354634 free *** Garbage collection starting *** GC 93 31-Oct-2003 17:46:08, 70 ms (0%), 2705417 occupied, 22294504 free *** Garbage collection starting *** GC 94 31-Oct-2003 17:47:15, 80 ms (0%), 2761007 occupied, 22238914 free *** Garbage collection starting *** GC 95 31-Oct-2003 17:48:22, 90 ms (0%), 2812229 occupied, 22187692 free *** Garbage collection starting *** GC 96 31-Oct-2003 17:49:28, 80 ms (0%), 2860121 occupied, 22139800 free *** Garbage collection starting *** GC 97 31-Oct-2003 17:50:35, 80 ms (0%), 2921135 occupied, 22078786 free *** Garbage collection starting *** GC 98 31-Oct-2003 17:51:43, 80 ms (0%), 2966891 occupied, 22033030 free *** Garbage collection starting *** GC 99 31-Oct-2003 17:52:50, 90 ms (0%), 3019101 occupied, 21980820 free *** Garbage collection starting *** GC 100 31-Oct-2003 17:53:57, 90 ms (0%), 3063907 occupied, 21936014 free *** Garbage collection starting *** GC 101 31-Oct-2003 17:55:03, 100 ms (0%), 3284109 occupied, 21715812 free *** Garbage collection starting *** GC 102 31-Oct-2003 17:56:22, 100 ms (0%), 3441741 occupied, 21558180 free *** Garbage collection starting *** GC 103 31-Oct-2003 17:57:44, 30 ms (0%), 1374473 occupied, 23625479 free *** Garbage collection starting *** GC 104 31-Oct-2003 17:58:45, 40 ms (0%), 1419765 occupied, 23580187 free *** Garbage collection starting *** GC 105 31-Oct-2003 17:59:24, 30 ms (0%), 1346683 occupied, 23653269 free *** Garbage collection starting *** GC 106 31-Oct-2003 17:59:48, 30 ms (0%), 1431023 occupied, 23568929 free *** Garbage collection starting *** GC 107 31-Oct-2003 18:00:49, 30 ms (0%), 1440783 occupied, 23559169 free *** Garbage collection starting *** GC 108 31-Oct-2003 18:01:49, 30 ms (0%), 1505277 occupied, 23494675 free *** Garbage collection starting *** GC 109 31-Oct-2003 18:02:50, 40 ms (0%), 1588961 occupied, 23410991 free *** Garbage collection starting *** GC 110 31-Oct-2003 18:03:51, 40 ms (0%), 1650793 occupied, 23349159 free *** Garbage collection starting *** GC 111 31-Oct-2003 18:04:51, 50 ms (0%), 1730675 occupied, 23269277 free *** Garbage collection starting *** GC 112 31-Oct-2003 18:05:51, 50 ms (0%), 1788243 occupied, 23211709 free *** Garbage collection starting *** GC 113 31-Oct-2003 18:06:52, 50 ms (0%), 1863027 occupied, 23136925 free *** Garbage collection starting *** GC 114 31-Oct-2003 18:07:52, 50 ms (0%), 1946479 occupied, 23053473 free *** Garbage collection starting *** GC 115 31-Oct-2003 18:08:52, 60 ms (0%), 1997723 occupied, 23002229 free *** Garbage collection starting *** GC 116 31-Oct-2003 18:09:52, 50 ms (0%), 2074199 occupied, 22925753 free *** Garbage collection starting *** GC 117 31-Oct-2003 18:10:52, 50 ms (0%), 2142401 occupied, 22857551 free *** Garbage collection starting *** GC 118 31-Oct-2003 18:11:53, 60 ms (0%), 2207825 occupied, 22792127 free *** Garbage collection starting *** GC 119 31-Oct-2003 18:12:53, 70 ms (0%), 2275353 occupied, 22724599 free *** Garbage collection starting *** GC 120 31-Oct-2003 18:13:53, 60 ms (0%), 2339509 occupied, 22660443 free *** Garbage collection starting *** GC 121 31-Oct-2003 18:14:52, 70 ms (0%), 2409899 occupied, 22590053 free *** Garbage collection starting *** GC 122 31-Oct-2003 18:15:52, 70 ms (0%), 2468565 occupied, 22531387 free *** Garbage collection starting *** GC 123 31-Oct-2003 18:16:53, 80 ms (0%), 2539713 occupied, 22460239 free *** Garbage collection starting *** GC 124 31-Oct-2003 18:17:53, 90 ms (0%), 2595483 occupied, 22404469 free *** Garbage collection starting *** GC 125 31-Oct-2003 18:18:53, 70 ms (0%), 2653169 occupied, 22346783 free *** Garbage collection starting *** GC 126 31-Oct-2003 18:19:54, 70 ms (0%), 2720751 occupied, 22279201 free *** Garbage collection starting *** GC 127 31-Oct-2003 18:20:54, 80 ms (0%), 2779843 occupied, 22220109 free *** Garbage collection starting *** GC 128 31-Oct-2003 18:21:55, 70 ms (0%), 2844845 occupied, 22155107 free *** Garbage collection starting *** GC 129 31-Oct-2003 18:22:55, 80 ms (0%), 2906499 occupied, 22093453 free *** Garbage collection starting *** GC 130 31-Oct-2003 18:23:56, 80 ms (0%), 2960281 occupied, 22039671 free *** Garbage collection starting *** GC 131 31-Oct-2003 18:24:57, 80 ms (0%), 3018769 occupied, 21981183 free *** Garbage collection starting *** GC 132 31-Oct-2003 18:25:27, 90 ms (0%), 3275139 occupied, 21724813 free *** Garbage collection starting *** GC 133 31-Oct-2003 18:26:59, 30 ms (0%), 1288665 occupied, 23711287 free *** Garbage collection starting *** GC 134 31-Oct-2003 18:27:01, 30 ms (0%), 1379395 occupied, 23620557 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 : f*D f 2 8x D D f*D f 1 2 2 7x f *D f x 2 7x D D f *D f 1 2 x 2 6x f *D f 2x 2 6x D D f *D f 1 2 2x 2 5x f *D f 3x 2 5x D D f *D f 1 2 3x 2 4x f *D f 4x 2 4x D D f *D f 1 2 4x 2 3x f *D f 5x 2 3x D D f *D f 1 2 5x 2 2x f *D f 6x 2 2x D D f *D f 1 2 6x 2 x f *D f 7x 2 x D D f *D f 1 2 7x 2 f *D f 8x 2 D f*D D f 1 1 2 7x D f *D D f 1 x 1 2 6x D f *D D f 1 2x 1 2 5x D f *D D f 1 3x 1 2 4x D f *D D f 1 4x 1 2 3x D f *D D f 1 5x 1 2 2x D f *D D f 1 6x 1 2 x D f *D D f 1 7x 1 2 f*D f 1 8x f *D f x 1 7x f *D f 2x 1 6x f *D f 3x 1 5x f *D f 4x 1 4x f *D f 5x 1 3x f *D f 6x 1 2x f *D f 7x 1 x f *D f 8x 1 *** Garbage collection starting *** GC 135 31-Oct-2003 18:27:05, 20 ms (0%), 1278013 occupied, 23721939 free *** Garbage collection starting *** GC 136 31-Oct-2003 18:27:06, 20 ms (0%), 1293855 occupied, 23706097 free Separation of e_4 yields (e_35 e_20 e_34 e_13 e_33 e_28 e_27 e_22 e_21 e_19 e_16 e_12 e_9 e_6 e_32 e_14 e_26 e_17 e_31 e_25 e_24 e_18 e_11 e_8 e_30 e_23 e_15 e_7 e_29 e_10) Step 2: separation w.r.t. x linear independent expressions : 3 f*(D f) *D f 2 2 2x 2 f*D f*(D f) *D f 1 2 2 2x 2 f*(D f) *D f*D f 1 2 2 2x 3 f*(D f) *D f 1 2 2x 2 2 f*(D f) *(D f ) 2 2 x 2 f*D f*D f*(D f ) 1 2 2 x 2 2 f*(D f) *(D f ) 1 2 x 3 D D f*(D f) *D f 1 2 2 2 x 3 f *(D f) *D f x 2 2 x 2 D f*D D f*(D f) *D f 1 1 2 2 2 x 2 f*D f *(D f) *D f 1 x 2 2 x 2 f *D f*(D f) *D f x 1 2 2 x 2 (D f) *D D f*D f*D f 1 1 2 2 2 x f*f *D D f*D f*D f x 1 2 2 2 x f*D f*D f *D f*D f 1 1 x 2 2 x 2 f *(D f) *D f*D f x 1 2 2 x 3 (D f) *D D f*D f 1 1 2 2 x f*f *D f*D D f*D f x 1 1 2 2 x 2 f*(D f) *D f *D f 1 1 x 2 x 3 f *(D f) *D f x 1 2 x 4 D D f *(D f) 1 2 x 2 4 f *(D f) 2x 2 3 D f*D D f *(D f) 1 1 2 x 2 3 D f *D D f*(D f) 1 x 1 2 2 3 f*D f *(D f) 1 2x 2 3 f *D f *(D f) x 1 x 2 3 f *D f*(D f) 2x 1 2 2 f*D D f*D D f *(D f) 1 2 1 2 x 2 2 2 (D f) *D D f *(D f) 1 1 2 x 2 2 f*f *D D f *(D f) x 1 2 x 2 2 D f*D f *D D f*(D f) 1 1 x 1 2 2 2 f*f *D D f*(D f) 2x 1 2 2 2 f*D f*D f *(D f) 1 1 2x 2 2 2 f*(D f ) *(D f) 1 x 2 2 f *D f*D f *(D f) x 1 1 x 2 2 2 f *(D f) *(D f) 2x 1 2 2 f*f *f *(D f) x 2x 2 f*D f*D D f*D D f *D f 1 1 2 1 2 x 2 3 (D f) *D D f *D f 1 1 2 x 2 f*f *D f*D D f *D f x 1 1 2 x 2 2 (D f) *D f *D D f*D f 1 1 x 1 2 2 f*f *D f *D D f*D f x 1 x 1 2 2 f*f *D f*D D f*D f 2x 1 1 2 2 2 f*(D f) *D f *D f 1 1 2x 2 2 f*D f*(D f ) *D f 1 1 x 2 2 f *(D f) *D f *D f x 1 1 x 2 3 f *(D f) *D f 2x 1 2 f*f *f *D f*D f x 2x 1 2 2 f*(D f) *D D f*D D f 1 1 2 1 2 x 4 (D f) *D D f 1 1 2 x 2 f*f *(D f) *D D f x 1 1 2 x 3 (D f) *D f *D D f 1 1 x 1 2 f*f *D f*D f *D D f x 1 1 x 1 2 2 f*f *(D f) *D D f 2x 1 1 2 3 f*(D f) *D f 1 1 2x 2 2 f*(D f) *(D f ) 1 1 x 3 f *(D f) *D f x 1 1 x 4 f *(D f) 2x 1 2 f*f *f *(D f) x 2x 1 *** Garbage collection starting *** GC 137 31-Oct-2003 18:27:10, 30 ms (0%), 1411951 occupied, 23588001 free *** Garbage collection starting *** GC 138 31-Oct-2003 18:27:18, 20 ms (0%), 1289539 occupied, 23710413 free *** Garbage collection starting *** GC 139 31-Oct-2003 18:27:19, 30 ms (0%), 1297379 occupied, 23702573 free Separation of e_1 yields (e_92 e_72 e_44 e_39 e_89 e_69 e_91 e_90 e_71 e_67 e_66 e_61 e_55 e_50 e_47 e_45 e_88 e_85 e_76 e_70 e_65 e_58 e_56 e_42 e_38 e_84 e_73 e_68 e_64 e_57 e_43 e_37 e_36 e_86 e_83 e_60 e_54 e_53 e_87 e_80 e_63 e_62 e_49 e_46 e_40 e_82 e_77 e_74 e_59 e_79 e_51 e_41 e_81 e_75 e_52 e_48 e_78) Step 3: separation w.r.t. x linear independent expressions : 2 f*(D f) *D f 2 2 4x f*D f*D f*D f 1 2 2 4x 2 f*(D f) *D f 1 2 4x f*D f*D f *D f 2 2 x 2 3x f*D f*D f *D f 1 2 x 2 3x 2 D D f*(D f) *D f 1 2 2 2 3x 2 f *(D f) *D f x 2 2 3x D f*D D f*D f*D f 1 1 2 2 2 3x f*D f *D f*D f 1 x 2 2 3x f *D f*D f*D f x 1 2 2 3x 2 (D f) *D D f*D f 1 1 2 2 3x f*f *D D f*D f x 1 2 2 3x f*D f*D f *D f 1 1 x 2 3x 2 f *(D f) *D f x 1 2 3x 2 f*D f*(D f ) 2 2 2x 2 f*D f*(D f ) 1 2 2x 2 f*(D f ) *D f 2 x 2 2x D D f*D f*D f *D f 1 2 2 2 x 2 2x f *D f*D f *D f x 2 2 x 2 2x D f*D D f*D f *D f 1 1 2 2 x 2 2x f*D f *D f *D f 1 x 2 x 2 2x f *D f*D f *D f x 1 2 x 2 2x 2 D D f *(D f) *D f 1 2 x 2 2 2x 2 f *(D f) *D f 2x 2 2 2x D f*D D f *D f*D f 1 1 2 x 2 2 2x D f *D D f*D f*D f 1 x 1 2 2 2 2x f*D f *D f*D f 1 2x 2 2 2x f *D f *D f*D f x 1 x 2 2 2x f *D f*D f*D f 2x 1 2 2 2x f*D D f*D D f *D f 1 2 1 2 x 2 2x 2 (D f) *D D f *D f 1 1 2 x 2 2x f*f *D D f *D f x 1 2 x 2 2x D f*D f *D D f*D f 1 1 x 1 2 2 2x f*f *D D f*D f 2x 1 2 2 2x f*D f*D f *D f 1 1 2x 2 2x 2 f*(D f ) *D f 1 x 2 2x f *D f*D f *D f x 1 1 x 2 2x 2 f *(D f) *D f 2x 1 2 2x f*f *f *D f x 2x 2 2x 3 D D f*(D f ) 1 2 2 x 3 f *(D f ) x 2 x 2 D D f *D f*(D f ) 1 2 x 2 2 x 2 f *D f*(D f ) 2x 2 2 x 2 D f*D D f *(D f ) 1 1 2 x 2 x 2 D f *D D f*(D f ) 1 x 1 2 2 x 2 f*D f *(D f ) 1 2x 2 x 2 f *D f *(D f ) x 1 x 2 x 2 f *D f*(D f ) 2x 1 2 x 2 D D f *(D f) *D f 1 2 2x 2 2 x 2 f *(D f) *D f 3x 2 2 x D f*D D f *D f*D f 1 1 2 2x 2 2 x D f *D D f *D f*D f 1 x 1 2 x 2 2 x D f *D D f*D f*D f 1 2x 1 2 2 2 x f*D f *D f*D f 1 3x 2 2 x f *D f *D f*D f x 1 2x 2 2 x f *D f *D f*D f 2x 1 x 2 2 x f *D f*D f*D f 3x 1 2 2 x f*D D f*D D f *D f 1 2 1 2 2x 2 x 2 (D f) *D D f *D f 1 1 2 2x 2 x f*f *D D f *D f x 1 2 2x 2 x f *D D f*D D f *D f x 1 2 1 2 x 2 x D f*D f *D D f *D f 1 1 x 1 2 x 2 x f*f *D D f *D f 2x 1 2 x 2 x D f*D f *D D f*D f 1 1 2x 1 2 2 x 2 (D f ) *D D f*D f 1 x 1 2 2 x f*f *D D f*D f 3x 1 2 2 x f *f *D D f*D f x 2x 1 2 2 x f*D f*D f *D f 1 1 3x 2 x f*D f *D f *D f 1 x 1 2x 2 x f *D f*D f *D f x 1 1 2x 2 x 2 f *(D f ) *D f x 1 x 2 x f *D f*D f *D f 2x 1 1 x 2 x 2 f *(D f) *D f 3x 1 2 x f*f *f *D f x 3x 2 x 3 D D f *(D f) 1 2 3x 2 3 f *(D f) 4x 2 2 D f*D D f *(D f) 1 1 2 3x 2 2 D f *D D f *(D f) 1 x 1 2 2x 2 2 D f *D D f *(D f) 1 2x 1 2 x 2 2 D f *D D f*(D f) 1 3x 1 2 2 2 f*D f *(D f) 1 4x 2 2 f *D f *(D f) x 1 3x 2 2 f *D f *(D f) 2x 1 2x 2 2 f *D f *(D f) 3x 1 x 2 2 f *D f*(D f) 4x 1 2 f*D D f*D D f *D f 1 2 1 2 3x 2 2 (D f) *D D f *D f 1 1 2 3x 2 f*f *D D f *D f x 1 2 3x 2 f*D D f *D D f *D f 1 2 x 1 2 2x 2 f *D D f*D D f *D f x 1 2 1 2 2x 2 D f*D f *D D f *D f 1 1 x 1 2 2x 2 f*f *D D f *D f 2x 1 2 2x 2 f *D D f*D D f *D f 2x 1 2 1 2 x 2 D f*D f *D D f *D f 1 1 2x 1 2 x 2 2 (D f ) *D D f *D f 1 x 1 2 x 2 f*f *D D f *D f 3x 1 2 x 2 f *f *D D f *D f x 2x 1 2 x 2 D f*D f *D D f*D f 1 1 3x 1 2 2 D f *D f *D D f*D f 1 x 1 2x 1 2 2 f*f *D D f*D f 4x 1 2 2 f *f *D D f*D f x 3x 1 2 2 f*D f*D f *D f 1 1 4x 2 f*D f *D f *D f 1 x 1 3x 2 f *D f*D f *D f x 1 1 3x 2 2 f*(D f ) *D f 1 2x 2 f *D f *D f *D f x 1 x 1 2x 2 f *D f*D f *D f 2x 1 1 2x 2 2 f *(D f ) *D f 2x 1 x 2 f *D f*D f *D f 3x 1 1 x 2 2 f *(D f) *D f 4x 1 2 f*f *f *D f x 4x 2 f*f *f *D f 2x 3x 2 f*D f*D D f*D D f 1 1 2 1 2 3x 3 (D f) *D D f 1 1 2 3x f*f *D f*D D f x 1 1 2 3x f*D f*D D f *D D f 1 1 2 x 1 2 2x f*D f *D D f*D D f 1 x 1 2 1 2 2x f *D f*D D f*D D f x 1 1 2 1 2 2x 2 (D f) *D f *D D f 1 1 x 1 2 2x f*f *D f *D D f x 1 x 1 2 2x f*f *D f*D D f 2x 1 1 2 2x f*D f *D D f*D D f 1 2x 1 2 1 2 x f *D f *D D f*D D f x 1 x 1 2 1 2 x f *D f*D D f*D D f 2x 1 1 2 1 2 x 2 (D f) *D f *D D f 1 1 2x 1 2 x f*f *D f *D D f x 1 2x 1 2 x 2 D f*(D f ) *D D f 1 1 x 1 2 x f*f *D f *D D f 2x 1 x 1 2 x f*f *D f*D D f 3x 1 1 2 x f *f *D f*D D f x 2x 1 1 2 x 2 (D f) *D f *D D f 1 1 3x 1 2 f*f *D f *D D f x 1 3x 1 2 D f*D f *D f *D D f 1 1 x 1 2x 1 2 f*f *D f *D D f 2x 1 2x 1 2 3 (D f ) *D D f 1 x 1 2 f*f *D f *D D f 3x 1 x 1 2 f *f *D f *D D f x 2x 1 x 1 2 f*f *D f*D D f 4x 1 1 2 f *f *D f*D D f x 3x 1 1 2 2 f*(D f) *D f 1 1 4x f*D f*D f *D f 1 1 x 1 3x 2 f *(D f) *D f x 1 1 3x 2 f*D f*(D f ) 1 1 2x 2 f*(D f ) *D f 1 x 1 2x f *D f*D f *D f x 1 1 x 1 2x 2 f *(D f) *D f 2x 1 1 2x f*f *f *D f x 2x 1 2x 3 f *(D f ) x 1 x 2 f *D f*(D f ) 2x 1 1 x 2 f *(D f) *D f 3x 1 1 x f*f *f *D f x 3x 1 x 3 f *(D f) 4x 1 f*f *f *D f x 4x 1 f*f *f *D f 2x 3x 1 *** Garbage collection starting *** GC 140 31-Oct-2003 18:27:21, 30 ms (0%), 1334605 occupied, 23665347 free *** Garbage collection starting *** GC 141 31-Oct-2003 18:27:30, 30 ms (0%), 1456369 occupied, 23543582 free *** Garbage collection starting *** GC 142 31-Oct-2003 18:27:54, 40 ms (0%), 1540681 occupied, 23459270 free *** Garbage collection starting *** GC 143 31-Oct-2003 18:28:32, 30 ms (0%), 1638019 occupied, 23361932 free *** Garbage collection starting *** GC 144 31-Oct-2003 18:29:26, 40 ms (0%), 1745611 occupied, 23254340 free *** Garbage collection starting *** GC 145 31-Oct-2003 18:30:37, 40 ms (0%), 1867211 occupied, 23132740 free *** Garbage collection starting *** GC 146 31-Oct-2003 18:32:04, 50 ms (0%), 1980353 occupied, 23019598 free *** Garbage collection starting *** GC 147 31-Oct-2003 18:33:46, 60 ms (0%), 2076821 occupied, 22923130 free *** Garbage collection starting *** GC 148 31-Oct-2003 18:35:40, 50 ms (0%), 2120453 occupied, 22879498 free *** Garbage collection starting *** GC 149 31-Oct-2003 18:37:47, 60 ms (0%), 2234545 occupied, 22765406 free *** Garbage collection starting *** GC 150 31-Oct-2003 18:40:05, 80 ms (0%), 2353031 occupied, 22646920 free *** Garbage collection starting *** GC 151 31-Oct-2003 18:42:33, 70 ms (0%), 2454867 occupied, 22545083 free *** Garbage collection starting *** GC 152 31-Oct-2003 18:45:14, 70 ms (0%), 2576635 occupied, 22423315 free *** Garbage collection starting *** GC 153 31-Oct-2003 18:48:10, 70 ms (0%), 2665883 occupied, 22334067 free *** Garbage collection starting *** GC 154 31-Oct-2003 18:51:16, 80 ms (0%), 2751133 occupied, 22248817 free *** Garbage collection starting *** GC 155 31-Oct-2003 18:54:33, 90 ms (0%), 2813433 occupied, 22186517 free *** Garbage collection starting *** GC 156 31-Oct-2003 18:57:58, 80 ms (0%), 2909361 occupied, 22090589 free *** Garbage collection starting *** GC 157 31-Oct-2003 19:01:32, 90 ms (0%), 3014471 occupied, 21985479 free *** Garbage collection starting *** GC 158 31-Oct-2003 19:05:17, 90 ms (0%), 3094175 occupied, 21905775 free *** Garbage collection starting *** GC 159 31-Oct-2003 19:09:13, 100 ms (0%), 3188779 occupied, 21811171 free *** Garbage collection starting *** GC 160 31-Oct-2003 19:13:23, 100 ms (0%), 3275007 occupied, 21724942 free *** Garbage collection starting *** GC 161 31-Oct-2003 19:17:46, 110 ms (0%), 3355503 occupied, 21644446 free *** Garbage collection starting *** GC 162 31-Oct-2003 19:22:16, 110 ms (0%), 3436355 occupied, 21563594 free *** Garbage collection starting *** GC 163 31-Oct-2003 19:26:57, 110 ms (0%), 3531885 occupied, 21468064 free *** Garbage collection starting *** GC 164 31-Oct-2003 19:31:47, 110 ms (0%), 3621975 occupied, 21377974 free *** Garbage collection starting *** GC 165 31-Oct-2003 19:31:53, 20 ms (0%), 1325309 occupied, 23674643 free *** Garbage collection starting *** GC 166 31-Oct-2003 19:31:54, 20 ms (0%), 1334451 occupied, 23665501 free *** Garbage collection starting *** GC 167 31-Oct-2003 19:31:55, 30 ms (0%), 1343825 occupied, 23656127 free *** Garbage collection starting *** GC 168 31-Oct-2003 19:31:56, 30 ms (0%), 1351549 occupied, 23648403 free *** Garbage collection starting *** GC 169 31-Oct-2003 19:31:58, 30 ms (0%), 1361469 occupied, 23638483 free *** Garbage collection starting *** GC 170 31-Oct-2003 19:31:59, 30 ms (0%), 1375491 occupied, 23624461 free *** Garbage collection starting *** GC 171 31-Oct-2003 19:32:00, 30 ms (0%), 1387341 occupied, 23612611 free *** Garbage collection starting *** GC 172 31-Oct-2003 19:32:01, 30 ms (0%), 1389465 occupied, 23610487 free Separation of e_2 yields (e_244 e_170 e_132 e_106 e_242 e_165 e_243 e_144 e_205 e_169 e_161 e_160 e_159 e_136 e_133 e_111 e_204 e_98 e_158 e_157 e_131 e_130 e_200 e_180 e_222 e_121 e_239 e_234 e_230 e_207 e_203 e_196 e_166 e_163 e_127 e_119 e_115 e_103 e_146 e_108 e_229 e_228 e_215 e_214 e_201 e_186 e_172 e_168 e_167 e_162 e_151 e_141 e_135 e_124 e_102 e_94 e_221 e_198 e_195 e_184 e_174 e_123 e_100 e_96 e_241 e_238 e_231 e_225 e_202 e_187 e_164 e_147 e_134 e_129 e_105 e_104 e_97 e_93 e_206 e_197 e_156 e_138 e_128 e_99 e_237 e_236 e_233 e_227 e_193 e_183 e_177 e_150 e_148 e_117 e_114 e_113 e_240 e_232 e_226 e_220 e_191 e_154 e_152 e_143 e_125 e_101 e_219 e_218 e_212 e_210 e_209 e_199 e_194 e_192 e_181 e_178 e_155 e_153 e_145 e_122 e_109 e_107 e_216 e_213 e_139 e_120 e_188 e_185 e_137 e_126 e_235 e_189 e_179 e_173 e_171 e_142 e_110 e_95 e_223 e_217 e_182 e_175 e_140 e_118 e_211 e_149 e_116 e_112 e_208 e_190 e_224 e_176) Step 4: separation w.r.t. x linear independent expressions : f*D f*D f 2 2 6x f*D f*D f 1 2 6x f*D f *D f 2 x 2 5x D D f*D f*D f 1 2 2 2 5x f *D f*D f x 2 2 5x D f*D D f*D f 1 1 2 2 5x f*D f *D f 1 x 2 5x f *D f*D f x 1 2 5x f*D f *D f 2 2x 2 4x D D f*D f *D f 1 2 2 x 2 4x f *D f *D f x 2 x 2 4x D D f *D f*D f 1 2 x 2 2 4x f *D f*D f 2x 2 2 4x D f*D D f *D f 1 1 2 x 2 4x D f *D D f*D f 1 x 1 2 2 4x f*D f *D f 1 2x 2 4x f *D f *D f x 1 x 2 4x f *D f*D f 2x 1 2 4x 2 f*(D f ) 2 3x D D f*D f *D f 1 2 2 2x 2 3x f *D f *D f x 2 2x 2 3x D D f *D f *D f 1 2 x 2 x 2 3x f *D f *D f 2x 2 x 2 3x D D f *D f*D f 1 2 2x 2 2 3x f *D f*D f 3x 2 2 3x D f*D D f *D f 1 1 2 2x 2 3x D f *D D f *D f 1 x 1 2 x 2 3x D f *D D f*D f 1 2x 1 2 2 3x f*D f *D f 1 3x 2 3x f *D f *D f x 1 2x 2 3x f *D f *D f 2x 1 x 2 3x f *D f*D f 3x 1 2 3x 2 D D f *(D f ) 1 2 x 2 2x 2 f *(D f ) 2x 2 2x D D f *D f *D f 1 2 2x 2 x 2 2x f *D f *D f 3x 2 x 2 2x D D f *D f*D f 1 2 3x 2 2 2x f *D f*D f 4x 2 2 2x D f*D D f *D f 1 1 2 3x 2 2x D f *D D f *D f 1 x 1 2 2x 2 2x D f *D D f *D f 1 2x 1 2 x 2 2x D f *D D f*D f 1 3x 1 2 2 2x f*D f *D f 1 4x 2 2x f *D f *D f x 1 3x 2 2x f *D f *D f 2x 1 2x 2 2x f *D f *D f 3x 1 x 2 2x f *D f*D f 4x 1 2 2x 2 D D f *(D f ) 1 2 3x 2 x 2 f *(D f ) 4x 2 x D D f *D f*D f 1 2 4x 2 2 x f *D f*D f 5x 2 2 x D f*D D f *D f 1 1 2 4x 2 x D f *D D f *D f 1 x 1 2 3x 2 x D f *D D f *D f 1 2x 1 2 2x 2 x D f *D D f *D f 1 3x 1 2 x 2 x D f *D D f*D f 1 4x 1 2 2 x f*D f *D f 1 5x 2 x f *D f *D f x 1 4x 2 x f *D f *D f 2x 1 3x 2 x f *D f *D f 3x 1 2x 2 x f *D f *D f 4x 1 x 2 x f *D f*D f 5x 1 2 x 2 D D f *(D f) 1 2 5x 2 2 f *(D f) 6x 2 D f*D D f *D f 1 1 2 5x 2 D f *D D f *D f 1 x 1 2 4x 2 D f *D D f *D f 1 2x 1 2 3x 2 D f *D D f *D f 1 3x 1 2 2x 2 D f *D D f *D f 1 4x 1 2 x 2 D f *D D f*D f 1 5x 1 2 2 f*D f *D f 1 6x 2 f *D f *D f x 1 5x 2 f *D f *D f 2x 1 4x 2 f *D f *D f 3x 1 3x 2 f *D f *D f 4x 1 2x 2 f *D f *D f 5x 1 x 2 f *D f*D f 6x 1 2 f*D D f*D D f 1 2 1 2 5x 2 (D f) *D D f 1 1 2 5x f*f *D D f x 1 2 5x f*D D f *D D f 1 2 x 1 2 4x f *D D f*D D f x 1 2 1 2 4x D f*D f *D D f 1 1 x 1 2 4x f*f *D D f 2x 1 2 4x f*D D f *D D f 1 2 2x 1 2 3x D D f*D D f *D D f 1 2 1 2 x 1 2 3x f *D D f *D D f x 1 2 x 1 2 3x f *D D f*D D f 2x 1 2 1 2 3x D f*D f *D D f 1 1 2x 1 2 3x 2 (D f ) *D D f 1 x 1 2 3x f*f *D D f 3x 1 2 3x f *f *D D f x 2x 1 2 3x f *D D f *D D f 2x 1 2 x 1 2 2x f *D D f*D D f 3x 1 2 1 2 2x D f*D f *D D f 1 1 3x 1 2 2x D f *D f *D D f 1 x 1 2x 1 2 2x f*f *D D f 4x 1 2 2x f *f *D D f x 3x 1 2 2x f *D D f*D D f 4x 1 2 1 2 x D f*D f *D D f 1 1 4x 1 2 x D f *D f *D D f 1 x 1 3x 1 2 x 2 (D f ) *D D f 1 2x 1 2 x f*f *D D f 5x 1 2 x f *f *D D f x 4x 1 2 x f *f *D D f 2x 3x 1 2 x D f*D f *D D f 1 1 5x 1 2 D f *D f *D D f 1 x 1 4x 1 2 D f *D f *D D f 1 2x 1 3x 1 2 f*f *D D f 6x 1 2 f *f *D D f x 5x 1 2 f *f *D D f 2x 4x 1 2 f*D f*D f 1 1 6x f*D f *D f 1 x 1 5x f *D f*D f x 1 1 5x f*D f *D f 1 2x 1 4x f *D f *D f x 1 x 1 4x f *D f*D f 2x 1 1 4x 2 f*(D f ) 1 3x f *D f *D f x 1 2x 1 3x f *D f *D f 2x 1 x 1 3x f *D f*D f 3x 1 1 3x 2 f *(D f ) 2x 1 2x f *D f *D f 3x 1 x 1 2x f *D f*D f 4x 1 1 2x 2 f *(D f ) 4x 1 x f *D f*D f 5x 1 1 x 2 f *(D f) 6x 1 f*f *f x 6x f*f *f 2x 5x f*f *f 3x 4x f *f *f x 2x 4x *** Garbage collection starting *** GC 173 31-Oct-2003 19:32:02, 20 ms (0%), 1372299 occupied, 23627653 free *** Garbage collection starting *** GC 174 31-Oct-2003 19:32:09, 30 ms (0%), 1498675 occupied, 23501276 free *** Garbage collection starting *** GC 175 31-Oct-2003 19:32:26, 40 ms (0%), 1614307 occupied, 23385644 free *** Garbage collection starting *** GC 176 31-Oct-2003 19:32:55, 50 ms (0%), 1746327 occupied, 23253624 free *** Garbage collection starting *** GC 177 31-Oct-2003 19:33:36, 50 ms (0%), 1855513 occupied, 23144438 free *** Garbage collection starting *** GC 178 31-Oct-2003 19:34:31, 50 ms (0%), 1958277 occupied, 23041674 free *** Garbage collection starting *** GC 179 31-Oct-2003 19:35:39, 60 ms (0%), 2100537 occupied, 22899414 free *** Garbage collection starting *** GC 180 31-Oct-2003 19:37:01, 60 ms (0%), 2202725 occupied, 22797225 free *** Garbage collection starting *** GC 181 31-Oct-2003 19:38:32, 60 ms (0%), 2337495 occupied, 22662455 free *** Garbage collection starting *** GC 182 31-Oct-2003 19:40:14, 60 ms (0%), 2398577 occupied, 22601370 free *** Garbage collection starting *** GC 183 31-Oct-2003 19:42:09, 80 ms (0%), 2510863 occupied, 22489083 free *** Garbage collection starting *** GC 184 31-Oct-2003 19:44:13, 80 ms (0%), 2613431 occupied, 22386513 free *** Garbage collection starting *** GC 185 31-Oct-2003 19:46:25, 80 ms (0%), 2739823 occupied, 22260121 free *** Garbage collection starting *** GC 186 31-Oct-2003 19:48:47, 80 ms (0%), 2826877 occupied, 22173067 free *** Garbage collection starting *** GC 187 31-Oct-2003 19:51:17, 100 ms (0%), 2944089 occupied, 22055855 free *** Garbage collection starting *** GC 188 31-Oct-2003 19:53:56, 90 ms (0%), 3018753 occupied, 21981191 free *** Garbage collection starting *** GC 189 31-Oct-2003 19:56:45, 90 ms (0%), 3093413 occupied, 21906531 free *** Garbage collection starting *** GC 190 31-Oct-2003 19:59:44, 100 ms (0%), 3187443 occupied, 21812501 free *** Garbage collection starting *** GC 191 31-Oct-2003 20:02:54, 100 ms (0%), 3287627 occupied, 21712316 free *** Garbage collection starting *** GC 192 31-Oct-2003 20:06:14, 100 ms (0%), 3407485 occupied, 21592458 free *** Garbage collection starting *** GC 193 31-Oct-2003 20:09:42, 120 ms (0%), 3513749 occupied, 21486194 free *** Garbage collection starting *** GC 194 31-Oct-2003 20:12:53, 30 ms (0%), 1355725 occupied, 23644227 free *** Garbage collection starting *** GC 195 31-Oct-2003 20:12:54, 30 ms (0%), 1365299 occupied, 23634651 free *** Garbage collection starting *** GC 196 31-Oct-2003 20:12:55, 30 ms (0%), 1367839 occupied, 23632111 free *** Garbage collection starting *** GC 197 31-Oct-2003 20:12:56, 30 ms (0%), 1383501 occupied, 23616449 free *** Garbage collection starting *** GC 198 31-Oct-2003 20:12:57, 30 ms (0%), 1385899 occupied, 23614051 free *** Garbage collection starting *** GC 199 31-Oct-2003 20:12:58, 30 ms (0%), 1401773 occupied, 23598177 free *** Garbage collection starting *** GC 200 31-Oct-2003 20:12:59, 30 ms (0%), 1407329 occupied, 23592621 free *** Garbage collection starting *** GC 201 31-Oct-2003 20:13:00, 30 ms (0%), 1414529 occupied, 23585421 free *** Garbage collection starting *** GC 202 31-Oct-2003 20:13:01, 40 ms (0%), 1421827 occupied, 23578123 free Separation of e_3 yields (e_373 e_311 e_296 e_263 e_372 e_304 e_289 e_310 e_298 e_297 e_295 e_266 e_248 e_294 e_368 e_305 e_290 e_370 e_355 e_341 e_340 e_273 e_269 e_257 e_253 e_371 e_369 e_262 e_261 e_350 e_342 e_324 e_301 e_292 e_280 e_367 e_366 e_323 e_322 e_317 e_309 e_303 e_249 e_246 e_312 e_299 e_247 e_365 e_362 e_345 e_337 e_326 e_286 e_285 e_275 e_260 e_364 e_360 e_349 e_348 e_325 e_307 e_306 e_293 e_291 e_272 e_268 e_254 e_250 e_245 e_359 e_358 e_352 e_331 e_327 e_318 e_300 e_284 e_278 e_276 e_274 e_356 e_339 e_336 e_335 e_308 e_302 e_279 e_265 e_251 e_361 e_258 e_363 e_354 e_288 e_267 e_264 e_259 e_333 e_329 e_338 e_252 e_357 e_316 e_351 e_255 e_347 e_319 e_321 e_283 e_281 e_353 e_346 e_332 e_256 e_313 e_282 e_287 e_343 e_334 e_320 e_315 e_270 e_328 e_314 e_277 e_271 e_344 e_330) Step 5: 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 : 368 total no of terms : 5744 total no of factors : 11488 368 equations in 0 variables: e_344(36),e_330(36),e_277(35),e_271(35),e_328(34),e_314(34),e_343(33), e_334(33),e_320(33),e_315(33),e_270(33),e_287(32),e_313(31),e_282(31), e_353(30),e_346(30),e_332(30),e_256(30),e_321(29),e_283(29),e_281(29), e_224(28),e_176(28),e_347(28),e_319(28),e_351(27),e_255(27),e_208(26), e_190(26),e_357(26),e_316(26),e_211(25),e_149(25),e_116(25),e_112(25), e_338(25),e_252(25),e_223(24),e_217(24),e_182(24),e_175(24),e_140(24), e_118(24),e_333(24),e_329(24),e_235(23),e_189(23),e_179(23),e_173(23), e_171(23),e_142(23),e_110(23),e_95(23),e_363(23),e_354(23),e_288(23), e_267(23),e_264(23),e_259(23),e_188(22),e_185(22),e_137(22),e_126(22), e_361(22),e_258(22),e_216(21),e_213(21),e_139(21),e_120(21),e_356(21), e_339(21),e_336(21),e_335(21),e_308(21),e_302(21),e_279(21),e_265(21), e_251(21),e_219(20),e_218(20),e_212(20),e_210(20),e_209(20),e_199(20), e_194(20),e_192(20),e_181(20),e_178(20),e_155(20),e_153(20),e_145(20), e_122(20),e_109(20),e_107(20),e_359(20),e_358(20),e_352(20),e_331(20), e_327(20),e_318(20),e_300(20),e_284(20),e_278(20),e_276(20),e_274(20), e_240(19),e_232(19),e_226(19),e_220(19),e_191(19),e_154(19),e_152(19), e_143(19),e_125(19),e_101(19),e_364(19),e_360(19),e_349(19),e_348(19), e_325(19),e_307(19),e_306(19),e_293(19),e_291(19),e_272(19),e_268(19), e_254(19),e_250(19),e_245(19),e_237(18),e_236(18),e_233(18),e_227(18), e_193(18),e_183(18),e_177(18),e_150(18),e_148(18),e_117(18),e_114(18), e_113(18),e_365(18),e_362(18),e_345(18),e_337(18),e_326(18),e_286(18), e_285(18),e_275(18),e_260(18),e_206(17),e_197(17),e_156(17),e_138(17), e_128(17),e_99(17),e_312(17),e_299(17),e_247(17),e_29(16),e_10(16), e_241(16),e_238(16),e_231(16),e_225(16),e_202(16),e_187(16),e_164(16), e_147(16),e_134(16),e_129(16),e_105(16),e_104(16),e_97(16),e_93(16), e_367(16),e_366(16),e_323(16),e_322(16),e_317(16),e_309(16),e_303(16), e_249(16),e_246(16),e_30(15),e_23(15),e_15(15),e_7(15),e_221(15), e_198(15),e_195(15),e_184(15),e_174(15),e_123(15),e_100(15),e_96(15), e_350(15),e_342(15),e_324(15),e_301(15),e_292(15),e_280(15),e_31(14), e_25(14),e_24(14),e_18(14),e_11(14),e_8(14),e_78(14),e_229(14), e_228(14),e_215(14),e_214(14),e_201(14),e_186(14),e_172(14),e_168(14), e_167(14),e_162(14),e_151(14),e_141(14),e_135(14),e_124(14),e_102(14), e_94(14),e_371(14),e_369(14),e_262(14),e_261(14),e_26(13),e_17(13), e_81(13),e_75(13),e_52(13),e_48(13),e_146(13),e_108(13),e_370(13), e_355(13),e_341(13),e_340(13),e_273(13),e_269(13),e_257(13),e_253(13), e_32(12),e_14(12),e_79(12),e_51(12),e_41(12),e_239(12),e_234(12), e_230(12),e_207(12),e_203(12),e_196(12),e_166(12),e_163(12),e_127(12), e_119(12),e_115(12),e_103(12),e_368(12),e_305(12),e_290(12),e_82(11), e_77(11),e_74(11),e_59(11),e_222(11),e_121(11),e_294(11),e_87(10), e_80(10),e_63(10),e_62(10),e_49(10),e_46(10),e_40(10),e_200(10), e_180(10),e_266(10),e_248(10),e_33(9),e_28(9),e_27(9),e_22(9),e_21(9), e_19(9),e_16(9),e_12(9),e_9(9),e_6(9),e_158(9),e_157(9),e_131(9), e_130(9),e_86(8),e_83(8),e_60(8),e_54(8),e_53(8),e_204(8),e_98(8), e_295(8),e_34(7),e_13(7),e_84(7),e_73(7),e_68(7),e_64(7),e_57(7), e_43(7),e_37(7),e_36(7),e_205(7),e_169(7),e_161(7),e_160(7),e_159(7), e_136(7),e_133(7),e_111(7),e_88(6),e_85(6),e_76(6),e_70(6),e_65(6), e_58(6),e_56(6),e_42(6),e_38(6),e_243(6),e_144(6),e_310(6),e_298(6), e_297(6),e_91(5),e_90(5),e_71(5),e_67(5),e_66(5),e_61(5),e_55(5), e_50(5),e_47(5),e_45(5),e_242(5),e_165(5),e_372(5),e_304(5),e_289(5), e_89(4),e_69(4),e_244(3),e_170(3),e_132(3),e_106(3),e_373(3),e_311(3), e_296(3),e_263(3),e_35(2),e_20(2),e_92(2),e_72(2),e_44(2),e_39(2) 91 constants : p1,p2,p3,p4,p5,p6,p7,p8,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,q60,q61,q62,q63,q64,q65,q66,q67,q68, q69,q70,q71,q72,q73,q74,q75,q76,q77,q78,q79, q80,q81,q82,q83 old input: w Enter a list of equations, like e2,e5,e35; from: e_39,e_44,e_72,e_92,e_20,e_35,e_263,e_296,e_311,e_373,e_106,e_132,e_170,e_244, e_69,e_89,e_289,e_304,e_372,e_165,e_242,e_45,e_47,e_50,e_55,e_61,e_66,e_67,e_71, e_90,e_91,e_297,e_298,e_310,e_144,e_243,e_38,e_42,e_56,e_58,e_65,e_70,e_76,e_85, e_88,e_111,e_133,e_136,e_159,e_160,e_161,e_169,e_205,e_36,e_37,e_43,e_57,e_64, e_68,e_73,e_84,e_13,e_34,e_295,e_98,e_204,e_53,e_54,e_60,e_83,e_86,e_130,e_131, e_157,e_158,e_6,e_9,e_12,e_16,e_19,e_21,e_22,e_27,e_28,e_33,e_248,e_266,e_180, e_200,e_40,e_46,e_49,e_62,e_63,e_80,e_87,e_294,e_121,e_222,e_59,e_74,e_77,e_82, e_290,e_305,e_368,e_103,e_115,e_119,e_127,e_163,e_166,e_196,e_203,e_207,e_230, e_234,e_239,e_41,e_51,e_79,e_14,e_32,e_253,e_257,e_269,e_273,e_340,e_341,e_355, e_370,e_108,e_146,e_48,e_52,e_75,e_81,e_17,e_26,e_261,e_262,e_369,e_371,e_94, e_102,e_124,e_135,e_141,e_151,e_162,e_167,e_168,e_172,e_186,e_201,e_214,e_215, e_228,e_229,e_78,e_8,e_11,e_18,e_24,e_25,e_31,e_280,e_292,e_301,e_324,e_342, e_350,e_96,e_100,e_123,e_174,e_184,e_195,e_198,e_221,e_7,e_15,e_23,e_30,e_246, e_249,e_303,e_309,e_317,e_322,e_323,e_366,e_367,e_93,e_97,e_104,e_105,e_129, e_134,e_147,e_164,e_187,e_202,e_225,e_231,e_238,e_241,e_10,e_29,e_247,e_299, e_312,e_99,e_128,e_138,e_156,e_197,e_206,e_260,e_275,e_285,e_286,e_326,e_337, e_345,e_362,e_365,e_113,e_114,e_117,e_148,e_150,e_177,e_183,e_193,e_227,e_233, e_236,e_237,e_245,e_250,e_254,e_268,e_272,e_291,e_293,e_306,e_307,e_325,e_348, e_349,e_360,e_364,e_101,e_125,e_143,e_152,e_154,e_191,e_220,e_226,e_232,e_240, e_274,e_276,e_278,e_284,e_300,e_318,e_327,e_331,e_352,e_358,e_359,e_107,e_109, e_122,e_145,e_153,e_155,e_178,e_181,e_192,e_194,e_199,e_209,e_210,e_212,e_218, e_219,e_251,e_265,e_279,e_302,e_308,e_335,e_336,e_339,e_356,e_120,e_139,e_213, e_216,e_258,e_361,e_126,e_137,e_185,e_188,e_259,e_264,e_267,e_288,e_354,e_363, e_95,e_110,e_142,e_171,e_173,e_179,e_189,e_235,e_329,e_333,e_118,e_140,e_175, e_182,e_217,e_223,e_252,e_338,e_112,e_116,e_149,e_211,e_316,e_357,e_190,e_208, e_255,e_351,e_319,e_347,e_176,e_224,e_281,e_283,e_321,e_256,e_332,e_346,e_353, e_282,e_313,e_287,e_270,e_315,e_320,e_334,e_343,e_314,e_328,e_271,e_277,e_330, e_344 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 *** Garbage collection starting *** GC 203 31-Oct-2003 20:13:04, 30 ms (0%), 1407049 occupied, 23592901 free 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 6: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 7: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_381 is a consequence of e_377. Step 8: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 9: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 10: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 11: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : --- Algebraic length reduction of equations : shortening by 2 terms Step 13: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_405 is a consequence of e_395. 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 2 terms e_406 is a consequence of e_395. 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 2 terms 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 : *** Garbage collection starting *** GC 204 31-Oct-2003 20:13:09, 30 ms (0%), 1355927 occupied, 23644023 free --- 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 2 terms 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 2 terms 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 2 terms 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 2 terms Step 22: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_427 is a consequence of e_417. 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 2 terms e_428 is a consequence of e_417. 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 2 terms 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 2 terms Step 28: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms e_440 is a consequence of e_436. 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 2 terms Step 31: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 32: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 34: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 35: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 41: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 42: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 43: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 1 term Step 45: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 205 31-Oct-2003 20:13:11, 30 ms (0%), 1353843 occupied, 23646107 free shortening by 1 term Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms 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 : shortening by 2 terms e_2 is a consequence of e_377. 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 2 terms Step 51: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms e_375 is a consequence of e_377. 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 3 terms e_376 is a consequence of e_377. 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 3 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 : shortening by 1 term Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 57: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 3 terms e_385 is a consequence of e_395. Step 59: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_386 is a consequence of e_395. 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 2 terms 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 : shortening by 2 terms Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 206 31-Oct-2003 20:13:12, 40 ms (0%), 1352717 occupied, 23647233 free shortening by 2 terms Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 : shortening by 3 terms Step 67: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_402 is a consequence of e_373. 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 : shortening by 3 terms e_403 is a consequence of e_373. 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 2 terms Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 3 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 2 terms e_42 is a consequence of e_311. 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 207 31-Oct-2003 20:13:13, 40 ms (0%), 1358617 occupied, 23641332 free shortening by 2 terms 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 2 terms 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 2 terms 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 3 terms e_416 is a consequence of e_311. 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 3 terms e_91 is a consequence of e_311. Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms 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 2 terms 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 2 terms Step 93: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_85 is a consequence of e_426. 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 2 terms Step 98: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 208 31-Oct-2003 20:13:14, 30 ms (0%), 1349135 occupied, 23650814 free shortening by 3 terms Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 2 terms Step 104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_444 is a consequence of e_79. 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 3 terms e_88 is a consequence of e_79. Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 2 terms e_452 is a consequence of e_426. 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 2 terms 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 2 terms Step 116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_22 is a consequence of e_426. 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 : *** Garbage collection starting *** GC 209 31-Oct-2003 20:13:15, 40 ms (0%), 1347405 occupied, 23652544 free shortening by 3 terms e_32 is a consequence of e_426. 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 3 terms e_13 is a consequence of e_79. 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 3 terms e_464 is a consequence of e_79. Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 210 31-Oct-2003 20:13:16, 30 ms (0%), 1347721 occupied, 23652228 free shortening by 2 terms Step 127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 211 31-Oct-2003 20:13:17, 30 ms (0%), 1347867 occupied, 23652082 free shortening by 1 term Step 132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 212 31-Oct-2003 20:13:18, 40 ms (0%), 1349051 occupied, 23650898 free shortening by 4 terms 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 3 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 3 terms Step 137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 : shortening by 3 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 213 31-Oct-2003 20:13:19, 40 ms (0%), 1347135 occupied, 23652815 free shortening by 1 term Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 2 terms 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 3 terms Step 145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 214 31-Oct-2003 20:13:20, 30 ms (0%), 1345893 occupied, 23654057 free shortening by 1 term Step 148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 215 31-Oct-2003 20:13:21, 30 ms (0%), 1348519 occupied, 23651431 free *** Garbage collection starting *** GC 216 31-Oct-2003 20:13:22, 30 ms (0%), 1350099 occupied, 23649851 free shortening by 5 terms Step 149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms e_358 is a consequence of e_45. 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 217 31-Oct-2003 20:13:23, 30 ms (0%), 1347663 occupied, 23652287 free shortening by 7 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 5 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 : shortening by 1 term Step 155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 218 31-Oct-2003 20:13:24, 30 ms (0%), 1345607 occupied, 23654342 free shortening by 5 terms e_421 is a consequence of e_389. 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 : shortening by 1 term Step 159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 219 31-Oct-2003 20:13:25, 30 ms (0%), 1344409 occupied, 23655541 free shortening by 3 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 : shortening by 3 terms Step 164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 220 31-Oct-2003 20:13:26, 30 ms (0%), 1346741 occupied, 23653209 free *** Garbage collection starting *** GC 221 31-Oct-2003 20:13:26, 30 ms (0%), 1346759 occupied, 23653191 free *** Garbage collection starting *** GC 222 31-Oct-2003 20:13:27, 30 ms (0%), 1346837 occupied, 23653113 free *** Garbage collection starting *** GC 223 31-Oct-2003 20:13:28, 30 ms (0%), 1346933 occupied, 23653017 free *** Garbage collection starting *** GC 224 31-Oct-2003 20:13:28, 30 ms (0%), 1347029 occupied, 23652921 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 225 31-Oct-2003 20:13:29, 40 ms (0%), 1471586 occupied, 23528283 free *** Garbage collection starting *** GC 226 31-Oct-2003 20:13:30, 40 ms (0%), 1539440 occupied, 23460346 free *** Garbage collection starting *** GC 227 31-Oct-2003 20:13:31, 40 ms (0%), 1600461 occupied, 23399366 free *** Garbage collection starting *** GC 228 31-Oct-2003 20:13:32, 40 ms (0%), 1653684 occupied, 23346107 free *** Garbage collection starting *** GC 229 31-Oct-2003 20:13:33, 50 ms (0%), 1702466 occupied, 23297267 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_31 we get the alternative equations : 0=p3 0=2*q11 - q15 + q30 New level : 1. CRACK is now called with the new equation e_66 : 0=p3 Step 165: Hot list of urgent steps : The list of inequalities got extended by: An expression with 71 terms The list of inequalities got extended by: An expression with 71 terms The list of inequalities got extended by: An expression with 86 terms The list of inequalities got extended by: An expression with 7 terms *** Garbage collection starting *** GC 230 31-Oct-2003 20:13:35, 30 ms (0%), 1399840 occupied, 23600108 free Substitution of p3 found in e_66 : p3=0 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 : *** Garbage collection starting *** GC 231 31-Oct-2003 20:13:36, 30 ms (0%), 1477454 occupied, 23522491 free --- 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 : shortening by 2 terms 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 : shortening by 2 terms Step 170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms 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 2 terms Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 1 term Step 188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 232 31-Oct-2003 20:13:38, 40 ms (0%), 1475422 occupied, 23524523 free shortening by 1 term Step 193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 233 31-Oct-2003 20:13:39, 40 ms (0%), 1476550 occupied, 23523395 free *** Garbage collection starting *** GC 234 31-Oct-2003 20:13:40, 40 ms (0%), 1478594 occupied, 23521351 free *** Garbage collection starting *** GC 235 31-Oct-2003 20:13:42, 30 ms (0%), 1482104 occupied, 23517841 free *** Garbage collection starting *** GC 236 31-Oct-2003 20:13:43, 40 ms (0%), 1482936 occupied, 23517009 free 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 237 31-Oct-2003 20:13:44, 40 ms (0%), 1477010 occupied, 23522935 free shortening by 1 term Step 196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 238 31-Oct-2003 20:13:45, 40 ms (0%), 1475520 occupied, 23524425 free shortening by 1 term Step 201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 239 31-Oct-2003 20:13:46, 40 ms (0%), 1475244 occupied, 23524701 free shortening by 1 term 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 : *** Garbage collection starting *** GC 240 31-Oct-2003 20:13:47, 40 ms (0%), 1476228 occupied, 23523717 free shortening by 4 terms 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 2 terms Step 206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 241 31-Oct-2003 20:13:48, 40 ms (0%), 1474440 occupied, 23525505 free shortening by 4 terms Step 218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 242 31-Oct-2003 20:13:49, 40 ms (0%), 1476006 occupied, 23523939 free 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 1 term 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 243 31-Oct-2003 20:13:50, 40 ms (0%), 1474754 occupied, 23525191 free *** Garbage collection starting *** GC 244 31-Oct-2003 20:13:51, 40 ms (0%), 1476420 occupied, 23523525 free *** Garbage collection starting *** GC 245 31-Oct-2003 20:13:52, 40 ms (0%), 1476596 occupied, 23523349 free shortening by 5 terms 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 : *** Garbage collection starting *** GC 246 31-Oct-2003 20:13:53, 30 ms (0%), 1475368 occupied, 23524577 free shortening by 2 terms Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 247 31-Oct-2003 20:13:53, 40 ms (0%), 1475640 occupied, 23524304 free *** Garbage collection starting *** GC 248 31-Oct-2003 20:13:54, 40 ms (0%), 1475724 occupied, 23524220 free *** Garbage collection starting *** GC 249 31-Oct-2003 20:13:55, 40 ms (0%), 1475740 occupied, 23524204 free *** Garbage collection starting *** GC 250 31-Oct-2003 20:13:55, 30 ms (0%), 1475758 occupied, 23524186 free *** Garbage collection starting *** GC 251 31-Oct-2003 20:13:56, 30 ms (0%), 1475788 occupied, 23524156 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 252 31-Oct-2003 20:13:57, 40 ms (0%), 1702343 occupied, 23297336 free *** Garbage collection starting *** GC 253 31-Oct-2003 20:13:58, 50 ms (0%), 1827955 occupied, 23171681 free *** Garbage collection starting *** GC 254 31-Oct-2003 20:14:00, 40 ms (0%), 1675759 occupied, 23323947 free *** Garbage collection starting *** GC 255 31-Oct-2003 20:14:01, 50 ms (0%), 1809393 occupied, 23190305 free *** Garbage collection starting *** GC 256 31-Oct-2003 20:14:02, 40 ms (0%), 1648126 occupied, 23351715 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_438 we get the alternative equations : 0=p2 0=q17 New level : 1.1. CRACK is now called with the new equation e_528 : 0=p2 Step 223: Hot list of urgent steps : The list of inequalities got extended by: An expression with 70 terms The list of inequalities got extended by: An expression with 85 terms The list of inequalities got extended by: An expression with 6 terms e_692 is a consequence of e_687. *** Garbage collection starting *** GC 257 31-Oct-2003 20:14:03, 50 ms (0%), 1541021 occupied, 23458920 free Substitution of p2 found in e_528 : p2=0 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 : *** Garbage collection starting *** GC 258 31-Oct-2003 20:14:05, 40 ms (0%), 1601759 occupied, 23398176 free --- Algebraic length reduction of equations : shortening by 1 term Step 225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 259 31-Oct-2003 20:14:07, 50 ms (0%), 1602509 occupied, 23397425 free 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 : *** Garbage collection starting *** GC 260 31-Oct-2003 20:14:09, 40 ms (0%), 1606809 occupied, 23393125 free shortening by 1 term Step 241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 261 31-Oct-2003 20:14:12, 50 ms (0%), 1604355 occupied, 23395580 free shortening by 1 term Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 1 term Step 269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : 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 1 term 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 1 term Step 283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 1 term *** Garbage collection starting *** GC 262 31-Oct-2003 20:14:14, 50 ms (0%), 1601981 occupied, 23397954 free Step 286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 1 term Step 295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 263 31-Oct-2003 20:14:16, 50 ms (0%), 1601617 occupied, 23398319 free 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 : *** Garbage collection starting *** GC 264 31-Oct-2003 20:14:18, 40 ms (0%), 1605559 occupied, 23394377 free *** Garbage collection starting *** GC 265 31-Oct-2003 20:14:20, 40 ms (0%), 1606129 occupied, 23393807 free *** Garbage collection starting *** GC 266 31-Oct-2003 20:14:21, 40 ms (0%), 1606443 occupied, 23393493 free shortening by 2 terms Step 321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 267 31-Oct-2003 20:14:23, 40 ms (0%), 1602623 occupied, 23397313 free shortening by 1 term Step 330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 2 terms 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 2 terms 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 2 terms Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 268 31-Oct-2003 20:14:25, 40 ms (0%), 1601525 occupied, 23398411 free shortening by 2 terms Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 269 31-Oct-2003 20:14:27, 40 ms (0%), 1605195 occupied, 23394740 free *** Garbage collection starting *** GC 270 31-Oct-2003 20:14:28, 40 ms (0%), 1605889 occupied, 23394046 free *** Garbage collection starting *** GC 271 31-Oct-2003 20:14:30, 40 ms (0%), 1606415 occupied, 23393520 free shortening by 4 terms Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 272 31-Oct-2003 20:14:31, 40 ms (0%), 1602703 occupied, 23397231 free *** Garbage collection starting *** GC 273 31-Oct-2003 20:14:32, 40 ms (0%), 1604139 occupied, 23395795 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 3 terms Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 274 31-Oct-2003 20:14:34, 40 ms (0%), 1602657 occupied, 23397278 free shortening by 5 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 : shortening by 1 term Step 356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 275 31-Oct-2003 20:14:35, 40 ms (0%), 1600633 occupied, 23399302 free shortening by 4 terms Step 366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 276 31-Oct-2003 20:14:36, 40 ms (0%), 1600229 occupied, 23399706 free shortening by 3 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 2 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 : shortening by 2 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 277 31-Oct-2003 20:14:38, 50 ms (0%), 1600205 occupied, 23399730 free shortening by 1 term Step 372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 278 31-Oct-2003 20:14:39, 40 ms (0%), 1599639 occupied, 23400296 free shortening by 3 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 : 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 : shortening by 6 terms Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 279 31-Oct-2003 20:14:39, 40 ms (0%), 1599325 occupied, 23400611 free *** Garbage collection starting *** GC 280 31-Oct-2003 20:14:40, 40 ms (0%), 1600881 occupied, 23399055 free *** Garbage collection starting *** GC 281 31-Oct-2003 20:14:41, 40 ms (0%), 1601003 occupied, 23398933 free shortening by 7 terms Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : *** Garbage collection starting *** GC 282 31-Oct-2003 20:14:42, 40 ms (0%), 1599125 occupied, 23400812 free *** Garbage collection starting *** GC 283 31-Oct-2003 20:14:43, 40 ms (0%), 1599229 occupied, 23400708 free *** Garbage collection starting *** GC 284 31-Oct-2003 20:14:43, 40 ms (0%), 1599253 occupied, 23400684 free *** Garbage collection starting *** GC 285 31-Oct-2003 20:14:44, 40 ms (0%), 1599315 occupied, 23400622 free *** Garbage collection starting *** GC 286 31-Oct-2003 20:14:45, 50 ms (0%), 1599379 occupied, 23400558 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 287 31-Oct-2003 20:14:46, 40 ms (0%), 1674213 occupied, 23325656 free *** Garbage collection starting *** GC 288 31-Oct-2003 20:14:48, 50 ms (0%), 1711497 occupied, 23288341 free *** Garbage collection starting *** GC 289 31-Oct-2003 20:14:49, 40 ms (0%), 1745357 occupied, 23254464 free *** Garbage collection starting *** GC 290 31-Oct-2003 20:14:50, 50 ms (0%), 1773628 occupied, 23226158 free *** Garbage collection starting *** GC 291 31-Oct-2003 20:14:52, 50 ms (0%), 1800007 occupied, 23199756 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_687 we get the alternative equations : 0=p1 0=q12 New level : 1.1.1. CRACK is now called with the new equation e_882 : 0=p1 e_437,e_684,e_685,e_686,e_688,e_689 are consequences of e_882 Step 379: Hot list of urgent steps : The list of inequalities got extended by: An expression with 70 terms The list of inequalities got extended by: An expression with 84 terms The list of inequalities got extended by: An expression with 5 terms e_841 is a consequence of e_701. e_875 is a consequence of e_885. e_955 is a consequence of e_953. e_990 is a consequence of e_961. e_1046 is a consequence of e_1029. e_1054 is a consequence of e_992. *** Garbage collection starting *** GC 292 31-Oct-2003 20:14:54, 40 ms (0%), 1641127 occupied, 23358804 free Substitution of p1 found in e_882 : p1=0 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 : *** Garbage collection starting *** GC 293 31-Oct-2003 20:14:55, 50 ms (0%), 1705889 occupied, 23294039 free --- Algebraic length reduction of equations : shortening by 1 term 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 : 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 : shortening by 1 term Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 294 31-Oct-2003 20:14:57, 60 ms (0%), 1707427 occupied, 23292503 free shortening by 1 term Step 392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : An algebraic length reduction (11 ) was prevented to avoid a cycle. 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 : shortening by 1 term Step 422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : *** Garbage collection starting *** GC 295 31-Oct-2003 20:14:59, 50 ms (0%), 1709095 occupied, 23290834 free --- Algebraic length reduction of equations : shortening by 1 term Step 427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_878 is a consequence of e_885. Step 445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 296 31-Oct-2003 20:15:02, 60 ms (0%), 1703141 occupied, 23296788 free 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 e_1125 is a consequence of e_885. 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 *** Garbage collection starting *** GC 297 31-Oct-2003 20:15:04, 50 ms (0%), 1702003 occupied, 23297926 free 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 : shortening by 1 term Step 512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term *** Garbage collection starting *** GC 298 31-Oct-2003 20:15:06, 50 ms (0%), 1701413 occupied, 23298515 free Step 524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 299 31-Oct-2003 20:15:08, 50 ms (0%), 1705073 occupied, 23294854 free *** Garbage collection starting *** GC 300 31-Oct-2003 20:15:10, 40 ms (0%), 1706429 occupied, 23293498 free *** Garbage collection starting *** GC 301 31-Oct-2003 20:15:12, 60 ms (0%), 1707045 occupied, 23292882 free *** Garbage collection starting *** GC 302 31-Oct-2003 20:15:14, 50 ms (0%), 1707469 occupied, 23292458 free *** Garbage collection starting *** GC 303 31-Oct-2003 20:15:16, 50 ms (0%), 1707779 occupied, 23292148 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 304 31-Oct-2003 20:15:18, 60 ms (0%), 1976952 occupied, 23022598 free Eliminate q16 from e_950 and e_755. e_755: 0=(2*q16 - q31)*p4 is replaced by e_730: 0=p4*q31 Step 526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 305 31-Oct-2003 20:15:20, 50 ms (0%), 1705253 occupied, 23294676 free shortening by 1 term Step 530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 306 31-Oct-2003 20:15:22, 50 ms (0%), 1702671 occupied, 23297258 free 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 2 terms Step 538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 307 31-Oct-2003 20:15:23, 40 ms (0%), 1702571 occupied, 23297357 free 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 2 terms Step 544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 2 terms 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 : *** Garbage collection starting *** GC 308 31-Oct-2003 20:15:25, 50 ms (0%), 1702511 occupied, 23297415 free *** Garbage collection starting *** GC 309 31-Oct-2003 20:15:27, 50 ms (0%), 1704609 occupied, 23295317 free 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 310 31-Oct-2003 20:15:29, 40 ms (0%), 1705841 occupied, 23294087 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 : shortening by 1 term Step 587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1109 is a consequence of e_1142. 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 : 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 1 term Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1093 is a consequence of e_144. 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 : 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 : *** Garbage collection starting *** GC 311 31-Oct-2003 20:15:31, 50 ms (0%), 1701943 occupied, 23297984 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 312 31-Oct-2003 20:15:33, 50 ms (0%), 1698507 occupied, 23301421 free 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 : *** Garbage collection starting *** GC 313 31-Oct-2003 20:15:35, 40 ms (0%), 1698765 occupied, 23301162 free shortening by 1 term *** Garbage collection starting *** GC 314 31-Oct-2003 20:15:36, 50 ms (0%), 1698969 occupied, 23300956 free Step 664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 315 31-Oct-2003 20:15:38, 50 ms (0%), 1699165 occupied, 23300763 free shortening by 2 terms 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 4 terms 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 e_539 is a consequence of e_992. 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 : *** Garbage collection starting *** GC 316 31-Oct-2003 20:15:39, 50 ms (0%), 1700703 occupied, 23299225 free shortening by 4 terms 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 3 terms 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 : *** Garbage collection starting *** GC 317 31-Oct-2003 20:15:41, 50 ms (0%), 1696979 occupied, 23302950 free shortening by 3 terms Step 674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 3 terms 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 : *** Garbage collection starting *** GC 318 31-Oct-2003 20:15:42, 40 ms (0%), 1696615 occupied, 23303314 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 319 31-Oct-2003 20:15:43, 50 ms (0%), 1697811 occupied, 23302118 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 320 31-Oct-2003 20:15:45, 50 ms (0%), 1696513 occupied, 23303416 free shortening by 3 terms e_1059 is a consequence of e_1037. Step 681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 5 terms 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 : *** Garbage collection starting *** GC 321 31-Oct-2003 20:15:46, 50 ms (0%), 1697219 occupied, 23302710 free shortening by 3 terms 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 7 terms 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 322 31-Oct-2003 20:15:47, 50 ms (0%), 1695459 occupied, 23304469 free *** Garbage collection starting *** GC 323 31-Oct-2003 20:15:47, 50 ms (0%), 1695565 occupied, 23304363 free *** Garbage collection starting *** GC 324 31-Oct-2003 20:15:48, 50 ms (0%), 1695641 occupied, 23304287 free *** Garbage collection starting *** GC 325 31-Oct-2003 20:15:49, 50 ms (0%), 1695725 occupied, 23304203 free *** Garbage collection starting *** GC 326 31-Oct-2003 20:15:50, 40 ms (0%), 1695813 occupied, 23304115 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_978 and e_961. e_961: 0=(q15 - q30)*p7 is replaced by e_1084: 0=p7*q30 e_1084 is a consequence of e_1104. 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 : *** Garbage collection starting *** GC 327 31-Oct-2003 20:15:51, 50 ms (0%), 1696017 occupied, 23303912 free *** Garbage collection starting *** GC 328 31-Oct-2003 20:15:51, 40 ms (0%), 1696053 occupied, 23303876 free *** Garbage collection starting *** GC 329 31-Oct-2003 20:15:52, 50 ms (0%), 1696213 occupied, 23303716 free *** Garbage collection starting *** GC 330 31-Oct-2003 20:15:53, 50 ms (0%), 1696403 occupied, 23303526 free *** Garbage collection starting *** GC 331 31-Oct-2003 20:15:54, 40 ms (0%), 1696629 occupied, 23303300 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_947 and e_861. e_861: 0=(q15 - q30)*p4 is replaced by e_1076: 0=p4*q30 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 : *** Garbage collection starting *** GC 332 31-Oct-2003 20:15:55, 60 ms (0%), 1695695 occupied, 23304234 free *** Garbage collection starting *** GC 333 31-Oct-2003 20:15:56, 60 ms (0%), 1695799 occupied, 23304130 free *** Garbage collection starting *** GC 334 31-Oct-2003 20:15:57, 50 ms (0%), 1695863 occupied, 23304066 free *** Garbage collection starting *** GC 335 31-Oct-2003 20:15:58, 50 ms (0%), 1695937 occupied, 23303992 free *** Garbage collection starting *** GC 336 31-Oct-2003 20:15:58, 50 ms (0%), 1696025 occupied, 23303904 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 337 31-Oct-2003 20:16:00, 70 ms (0%), 1837173 occupied, 23162616 free *** Garbage collection starting *** GC 338 31-Oct-2003 20:16:02, 60 ms (0%), 1913298 occupied, 23086373 free *** Garbage collection starting *** GC 339 31-Oct-2003 20:16:04, 50 ms (0%), 1739618 occupied, 23260283 free *** Garbage collection starting *** GC 340 31-Oct-2003 20:16:05, 50 ms (0%), 1853592 occupied, 23146167 free *** Garbage collection starting *** GC 341 31-Oct-2003 20:16:07, 60 ms (0%), 1923848 occupied, 23075819 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_950 we get the alternative equations : 0=p4 0=q16 New level : 1.1.1.1. CRACK is now called with the new equation e_1274 : 0=p4 e_38,e_61,e_551,e_547,e_690,e_947,e_948,e_802,e_730,e_768,e_1076 are consequences of e_1274 Step 691: Hot list of urgent steps : The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 83 terms The list of inequalities got extended by: An expression with 4 terms e_1075 is a consequence of e_851. e_1143 is a consequence of e_1072. e_982 is a consequence of e_398. e_49 is a consequence of e_1072. *** Garbage collection starting *** GC 342 31-Oct-2003 20:16:09, 60 ms (0%), 1723193 occupied, 23276733 free e_998 is a consequence of e_1021. Substitution of p4 found in e_1274 : p4=0 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 : *** Garbage collection starting *** GC 343 31-Oct-2003 20:16:10, 50 ms (0%), 1766459 occupied, 23233468 free --- Algebraic length reduction of equations : shortening by 1 term Step 693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 344 31-Oct-2003 20:16:12, 70 ms (0%), 1775861 occupied, 23224063 free shortening by 1 term Step 712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 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 : 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 e_1406 is a consequence of e_772. 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 : *** Garbage collection starting *** GC 345 31-Oct-2003 20:16:14, 60 ms (0%), 1769863 occupied, 23230058 free 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 e_1249 is a consequence of e_993. 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 e_1273 is a consequence of e_1383. 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 e_1267 is a consequence of e_1246. 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 e_1266 is a consequence of e_1289. Step 775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : An algebraic length reduction (11 ) was prevented to avoid a cycle. 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 : *** Garbage collection starting *** GC 346 31-Oct-2003 20:16:17, 60 ms (0%), 1771791 occupied, 23228133 free 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 : 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 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 : shortening by 1 term Step 842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 347 31-Oct-2003 20:16:19, 60 ms (0%), 1764097 occupied, 23235829 free shortening by 1 term Step 843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 e_1048 is a consequence of e_1129. 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 : *** Garbage collection starting *** GC 348 31-Oct-2003 20:16:21, 60 ms (0%), 1766803 occupied, 23233123 free *** Garbage collection starting *** GC 349 31-Oct-2003 20:16:23, 50 ms (0%), 1768171 occupied, 23231754 free *** Garbage collection starting *** GC 350 31-Oct-2003 20:16:25, 50 ms (0%), 1769029 occupied, 23230896 free 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 : *** Garbage collection starting *** GC 351 31-Oct-2003 20:16:27, 60 ms (0%), 1764455 occupied, 23235471 free shortening by 1 term Step 860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1406 is a consequence of e_1100. Step 862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1149 is a consequence of e_1100. 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 e_831 is a consequence of e_1100. 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 e_1418 is a consequence of e_1415. 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 e_1425 is a consequence of e_1100. 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 e_1207 is a consequence of e_1116. 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 e_1213 is a consequence of e_852. 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 : shortening by 1 term 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 1 term Step 886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term Step 894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_191 is a consequence of e_848. 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 1 term 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 1 term e_1347 is a consequence of e_1234. 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 e_743 is a consequence of e_1343. 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 e_1349 is a consequence of e_1318. Step 899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- 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 : *** Garbage collection starting *** GC 352 31-Oct-2003 20:16:29, 50 ms (0%), 1760793 occupied, 23239132 free shortening by 1 term Step 912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 353 31-Oct-2003 20:16:31, 50 ms (0%), 1761209 occupied, 23238716 free shortening by 1 term 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 : An algebraic length reduction (11 ) was prevented to avoid a cycle. shortening by 1 term Step 916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 354 31-Oct-2003 20:16:33, 60 ms (0%), 1760247 occupied, 23239680 free *** Garbage collection starting *** GC 355 31-Oct-2003 20:16:35, 50 ms (0%), 1762183 occupied, 23237744 free shortening by 2 terms Step 918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 356 31-Oct-2003 20:16:37, 60 ms (0%), 1762841 occupied, 23237086 free shortening by 1 term Step 919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 1 term 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 3 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 : *** Garbage collection starting *** GC 357 31-Oct-2003 20:16:39, 50 ms (0%), 1760007 occupied, 23239919 free shortening by 3 terms Step 924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 2 terms 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 3 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 : shortening by 6 terms Step 929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms 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 : *** Garbage collection starting *** GC 358 31-Oct-2003 20:16:40, 50 ms (0%), 1759173 occupied, 23240753 free shortening by 5 terms 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 7 terms 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 : *** Garbage collection starting *** GC 359 31-Oct-2003 20:16:41, 60 ms (0%), 1759655 occupied, 23240270 free *** Garbage collection starting *** GC 360 31-Oct-2003 20:16:42, 50 ms (0%), 1759721 occupied, 23240204 free *** Garbage collection starting *** GC 361 31-Oct-2003 20:16:42, 50 ms (0%), 1759881 occupied, 23240044 free *** Garbage collection starting *** GC 362 31-Oct-2003 20:16:43, 50 ms (0%), 1759997 occupied, 23239928 free *** Garbage collection starting *** GC 363 31-Oct-2003 20:16:44, 50 ms (0%), 1760155 occupied, 23239770 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q31 from e_1100 and e_1117. e_1117: 0=(2*q16 - q31)*p7 is replaced by e_1071: 0=p7*q16 e_1071 is a consequence of e_77. 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 364 31-Oct-2003 20:16:45, 50 ms (0%), 1759561 occupied, 23240364 free *** Garbage collection starting *** GC 365 31-Oct-2003 20:16:46, 40 ms (0%), 1759665 occupied, 23240260 free *** Garbage collection starting *** GC 366 31-Oct-2003 20:16:47, 60 ms (0%), 1759857 occupied, 23240068 free *** Garbage collection starting *** GC 367 31-Oct-2003 20:16:48, 50 ms (0%), 1760077 occupied, 23239848 free *** Garbage collection starting *** GC 368 31-Oct-2003 20:16:49, 50 ms (0%), 1760299 occupied, 23239626 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_1090 and e_1013. e_1013: 0=(2*q15 - q30)*p5 is replaced by e_1047: 0=p5*q30 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 : *** Garbage collection starting *** GC 369 31-Oct-2003 20:16:50, 50 ms (0%), 1758959 occupied, 23240966 free *** Garbage collection starting *** GC 370 31-Oct-2003 20:16:51, 50 ms (0%), 1759129 occupied, 23240796 free *** Garbage collection starting *** GC 371 31-Oct-2003 20:16:51, 50 ms (0%), 1759273 occupied, 23240652 free *** Garbage collection starting *** GC 372 31-Oct-2003 20:16:52, 50 ms (0%), 1759417 occupied, 23240508 free *** Garbage collection starting *** GC 373 31-Oct-2003 20:16:53, 50 ms (0%), 1759571 occupied, 23240354 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_919 and e_995. e_995: 0=(3*q16 - q31)*p5 is replaced by e_1257: 0=p5*q31 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 : *** Garbage collection starting *** GC 374 31-Oct-2003 20:16:54, 60 ms (0%), 1758991 occupied, 23240934 free *** Garbage collection starting *** GC 375 31-Oct-2003 20:16:55, 50 ms (0%), 1759131 occupied, 23240794 free *** Garbage collection starting *** GC 376 31-Oct-2003 20:16:56, 50 ms (0%), 1759309 occupied, 23240616 free *** Garbage collection starting *** GC 377 31-Oct-2003 20:16:57, 60 ms (0%), 1759443 occupied, 23240482 free *** Garbage collection starting *** GC 378 31-Oct-2003 20:16:58, 50 ms (0%), 1759605 occupied, 23240320 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 379 31-Oct-2003 20:17:00, 50 ms (0%), 1864734 occupied, 23135093 free *** Garbage collection starting *** GC 380 31-Oct-2003 20:17:02, 70 ms (0%), 1918572 occupied, 23081154 free *** Garbage collection starting *** GC 381 31-Oct-2003 20:17:05, 50 ms (0%), 1844774 occupied, 23155062 free *** Garbage collection starting *** GC 382 31-Oct-2003 20:17:07, 60 ms (0%), 1910688 occupied, 23089077 free *** Garbage collection starting *** GC 383 31-Oct-2003 20:17:09, 50 ms (0%), 1827844 occupied, 23171998 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1292 we get the alternative equations : 0=p6 0=q8 New level : 1.1.1.1.1. CRACK is now called with the new equation e_1332 : 0=p6 e_1222,e_1064,e_1380,e_1399,e_1169,e_450,e_694,e_618,e_538,e_952,e_953,e_962, e_829,e_729,e_1199,e_1206,e_734,e_985,e_720,e_727,e_1376,e_716,e_812,e_1021 are consequences of e_1332 Step 936: Hot list of urgent steps : The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 82 terms The list of inequalities got extended by: g0317*p8 + g0318*p7 + g0320*p5 e_1230 is a consequence of e_1236. e_977 is a consequence of e_1266. e_1262 is a consequence of e_1263. e_1259 is a consequence of e_1212. e_1076 is a consequence of e_1264. e_710 is a consequence of e_1212. *** Garbage collection starting *** GC 384 31-Oct-2003 20:17:11, 50 ms (0%), 1788696 occupied, 23211225 free Substitution of p6 found in e_1332 : p6=0 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 1 term 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 1 term 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 : shortening by 1 term Step 940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 385 31-Oct-2003 20:17:12, 60 ms (0%), 1810144 occupied, 23189775 free --- Algebraic length reduction of equations : shortening by 1 term Step 942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1249 is a consequence of e_690. 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 : *** Garbage collection starting *** GC 386 31-Oct-2003 20:17:15, 50 ms (0%), 1805836 occupied, 23194084 free *** Garbage collection starting *** GC 387 31-Oct-2003 20:17:17, 50 ms (0%), 1806526 occupied, 23193394 free *** Garbage collection starting *** GC 388 31-Oct-2003 20:17:18, 60 ms (0%), 1807168 occupied, 23192752 free *** Garbage collection starting *** GC 389 31-Oct-2003 20:17:20, 60 ms (0%), 1807340 occupied, 23192580 free shortening by 2 terms Step 947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1323 is a consequence of e_1263. 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 e_1324 is a consequence of e_1113. 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 Step 953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : An algebraic length reduction (11 ) was prevented to avoid a cycle. 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 Step 961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 390 31-Oct-2003 20:17:22, 50 ms (0%), 1803378 occupied, 23196541 free 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 2 terms Step 964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 391 31-Oct-2003 20:17:24, 60 ms (0%), 1804796 occupied, 23195123 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 2 terms Step 968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1004 is a consequence of e_1236. Step 971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms Step 975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_1206 is a consequence of e_1236. Step 976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 392 31-Oct-2003 20:17:26, 50 ms (0%), 1802838 occupied, 23197076 free shortening by 1 term Step 979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 393 31-Oct-2003 20:17:28, 60 ms (0%), 1802562 occupied, 23197357 free shortening by 1 term Step 981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 394 31-Oct-2003 20:17:30, 60 ms (0%), 1802184 occupied, 23197736 free shortening by 2 terms Step 985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 395 31-Oct-2003 20:17:32, 60 ms (0%), 1802024 occupied, 23197897 free shortening by 2 terms 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 3 terms Step 992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 396 31-Oct-2003 20:17:34, 60 ms (0%), 1801188 occupied, 23198733 free shortening by 3 terms Step 997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 8 terms Step 1002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 397 31-Oct-2003 20:17:35, 60 ms (0%), 1801912 occupied, 23198009 free shortening by 4 terms Step 1003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 398 31-Oct-2003 20:17:37, 60 ms (0%), 1800666 occupied, 23199252 free *** Garbage collection starting *** GC 399 31-Oct-2003 20:17:38, 50 ms (0%), 1800864 occupied, 23199054 free *** Garbage collection starting *** GC 400 31-Oct-2003 20:17:39, 50 ms (0%), 1801030 occupied, 23198888 free *** Garbage collection starting *** GC 401 31-Oct-2003 20:17:40, 50 ms (0%), 1801230 occupied, 23198688 free *** Garbage collection starting *** GC 402 31-Oct-2003 20:17:40, 50 ms (0%), 1801428 occupied, 23198490 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_985 and e_1297. e_1297: 0=(q26 + q48)*p5 is replaced by e_1513: 0=p5*q26 e_1513 is a consequence of e_1021. 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 403 31-Oct-2003 20:17:42, 50 ms (0%), 1799982 occupied, 23199939 free *** Garbage collection starting *** GC 404 31-Oct-2003 20:17:42, 50 ms (0%), 1800246 occupied, 23199675 free *** Garbage collection starting *** GC 405 31-Oct-2003 20:17:43, 50 ms (0%), 1800248 occupied, 23199673 free *** Garbage collection starting *** GC 406 31-Oct-2003 20:17:44, 50 ms (0%), 1800288 occupied, 23199633 free *** Garbage collection starting *** GC 407 31-Oct-2003 20:17:45, 50 ms (0%), 1800524 occupied, 23199397 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_985 and e_1138. e_1138: 0=(2*q26 - q48)*p5 is replaced by e_1514: 0=p5*q26 e_1514 is a consequence of e_1021. 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 : *** Garbage collection starting *** GC 408 31-Oct-2003 20:17:46, 60 ms (0%), 1800644 occupied, 23199277 free *** Garbage collection starting *** GC 409 31-Oct-2003 20:17:47, 60 ms (0%), 1801546 occupied, 23198375 free *** Garbage collection starting *** GC 410 31-Oct-2003 20:17:48, 50 ms (0%), 1802428 occupied, 23197493 free *** Garbage collection starting *** GC 411 31-Oct-2003 20:17:49, 50 ms (0%), 1802852 occupied, 23197069 free *** Garbage collection starting *** GC 412 31-Oct-2003 20:17:50, 50 ms (0%), 1803272 occupied, 23196649 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q38 from e_1228 and e_398. e_398: 0=(q22 + 2*q38)*p5 is replaced by e_1515: 0=p5*q22 e_1515 is a consequence of e_1431. 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 : *** Garbage collection starting *** GC 413 31-Oct-2003 20:17:51, 60 ms (0%), 1800964 occupied, 23198955 free *** Garbage collection starting *** GC 414 31-Oct-2003 20:17:52, 50 ms (0%), 1801900 occupied, 23198019 free *** Garbage collection starting *** GC 415 31-Oct-2003 20:17:52, 50 ms (0%), 1802282 occupied, 23197637 free *** Garbage collection starting *** GC 416 31-Oct-2003 20:17:53, 50 ms (0%), 1802608 occupied, 23197311 free *** Garbage collection starting *** GC 417 31-Oct-2003 20:17:54, 60 ms (0%), 1802728 occupied, 23197191 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_807 and e_1397. e_1397: 0=(q24 + q41)*p5 is replaced by e_1516: 0=p5*q41 e_1516 is a consequence of e_1116. 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 418 31-Oct-2003 20:17:55, 60 ms (0%), 1801214 occupied, 23198707 free *** Garbage collection starting *** GC 419 31-Oct-2003 20:17:56, 50 ms (0%), 1801520 occupied, 23198401 free *** Garbage collection starting *** GC 420 31-Oct-2003 20:17:57, 60 ms (0%), 1801676 occupied, 23198245 free *** Garbage collection starting *** GC 421 31-Oct-2003 20:17:58, 50 ms (0%), 1801886 occupied, 23198035 free *** Garbage collection starting *** GC 422 31-Oct-2003 20:17:59, 50 ms (0%), 1802102 occupied, 23197819 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_1116 and e_831. e_831: 0=(2*q41 + q50)*p5 is replaced by e_1517: 0=p5*q50 e_1517 is a consequence of e_1430. 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 423 31-Oct-2003 20:18:00, 60 ms (0%), 1799590 occupied, 23200331 free *** Garbage collection starting *** GC 424 31-Oct-2003 20:18:01, 50 ms (0%), 1799854 occupied, 23200067 free *** Garbage collection starting *** GC 425 31-Oct-2003 20:18:02, 60 ms (0%), 1799898 occupied, 23200023 free *** Garbage collection starting *** GC 426 31-Oct-2003 20:18:02, 50 ms (0%), 1799948 occupied, 23199973 free *** Garbage collection starting *** GC 427 31-Oct-2003 20:18:03, 50 ms (0%), 1800346 occupied, 23199575 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1321 and e_1401. e_1401: 0=(2*q27 - q47)*p5 is replaced by e_1518: 0=p5*q27 e_1518 is a consequence of e_1283. 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 428 31-Oct-2003 20:18:04, 60 ms (0%), 1800566 occupied, 23199355 free *** Garbage collection starting *** GC 429 31-Oct-2003 20:18:05, 50 ms (0%), 1801502 occupied, 23198419 free *** Garbage collection starting *** GC 430 31-Oct-2003 20:18:06, 60 ms (0%), 1802132 occupied, 23197789 free *** Garbage collection starting *** GC 431 31-Oct-2003 20:18:07, 60 ms (0%), 1802444 occupied, 23197477 free *** Garbage collection starting *** GC 432 31-Oct-2003 20:18:08, 50 ms (0%), 1802928 occupied, 23196993 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q7 from e_1303 and e_1237. e_1237: 0=(q7 + q79)*p5 is replaced by e_1519: 0=p5*q79 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 433 31-Oct-2003 20:18:09, 60 ms (0%), 1801642 occupied, 23198279 free *** Garbage collection starting *** GC 434 31-Oct-2003 20:18:10, 50 ms (0%), 1801794 occupied, 23198127 free *** Garbage collection starting *** GC 435 31-Oct-2003 20:18:11, 60 ms (0%), 1801986 occupied, 23197935 free *** Garbage collection starting *** GC 436 31-Oct-2003 20:18:12, 60 ms (0%), 1802196 occupied, 23197725 free *** Garbage collection starting *** GC 437 31-Oct-2003 20:18:12, 60 ms (0%), 1802472 occupied, 23197449 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1519 and e_1039. e_1039: 0=(3*q76 + q79)*p5 is replaced by e_1521: 0=p5*q76 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 438 31-Oct-2003 20:18:14, 60 ms (0%), 1801812 occupied, 23198109 free *** Garbage collection starting *** GC 439 31-Oct-2003 20:18:14, 50 ms (0%), 1801974 occupied, 23197947 free *** Garbage collection starting *** GC 440 31-Oct-2003 20:18:15, 50 ms (0%), 1802164 occupied, 23197757 free *** Garbage collection starting *** GC 441 31-Oct-2003 20:18:16, 50 ms (0%), 1802372 occupied, 23197549 free *** Garbage collection starting *** GC 442 31-Oct-2003 20:18:17, 50 ms (0%), 1802616 occupied, 23197305 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1521 and e_1251. e_1251: 0=(q10 + q76)*p5 is replaced by e_1523: 0=p5*q10 e_1523 is a consequence of e_1271. Step 1015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 443 31-Oct-2003 20:18:18, 50 ms (0%), 1799704 occupied, 23200216 free *** Garbage collection starting *** GC 444 31-Oct-2003 20:18:19, 60 ms (0%), 1799780 occupied, 23200140 free *** Garbage collection starting *** GC 445 31-Oct-2003 20:18:20, 60 ms (0%), 1800044 occupied, 23199876 free *** Garbage collection starting *** GC 446 31-Oct-2003 20:18:21, 60 ms (0%), 1800408 occupied, 23199512 free *** Garbage collection starting *** GC 447 31-Oct-2003 20:18:22, 50 ms (0%), 1800964 occupied, 23198956 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1521 and e_421. e_421: 0=(q7 - q76)*p5 is replaced by e_1524: 0=p5*q7 e_1524 is a consequence of e_1303. Step 1016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 448 31-Oct-2003 20:18:23, 60 ms (0%), 1800860 occupied, 23199060 free *** Garbage collection starting *** GC 449 31-Oct-2003 20:18:24, 50 ms (0%), 1801912 occupied, 23198008 free *** Garbage collection starting *** GC 450 31-Oct-2003 20:18:24, 50 ms (0%), 1802242 occupied, 23197678 free *** Garbage collection starting *** GC 451 31-Oct-2003 20:18:25, 50 ms (0%), 1802842 occupied, 23197078 free *** Garbage collection starting *** GC 452 31-Oct-2003 20:18:26, 50 ms (0%), 1803084 occupied, 23196836 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1519 and e_838. e_838: 0=(2*q7 - q79)*p5 is replaced by e_1525: 0=p5*q7 e_1525 is a consequence of e_1303. 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 : *** Garbage collection starting *** GC 453 31-Oct-2003 20:18:27, 60 ms (0%), 1801550 occupied, 23198370 free *** Garbage collection starting *** GC 454 31-Oct-2003 20:18:28, 60 ms (0%), 1802158 occupied, 23197762 free *** Garbage collection starting *** GC 455 31-Oct-2003 20:18:29, 50 ms (0%), 1802244 occupied, 23197676 free *** Garbage collection starting *** GC 456 31-Oct-2003 20:18:30, 50 ms (0%), 1802468 occupied, 23197452 free *** Garbage collection starting *** GC 457 31-Oct-2003 20:18:31, 50 ms (0%), 1802508 occupied, 23197412 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 458 31-Oct-2003 20:18:33, 70 ms (0%), 1864450 occupied, 23135396 free Eliminate q76 from e_1521 and e_47. e_47: 0=(q25 + q42 + q76)*p5 is replaced by e_1526: 0=(q25 + q42)*p5 e_1526 is a consequence of e_1227. 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 : *** Garbage collection starting *** GC 459 31-Oct-2003 20:18:35, 60 ms (0%), 1800320 occupied, 23199601 free *** Garbage collection starting *** GC 460 31-Oct-2003 20:18:35, 60 ms (0%), 1800816 occupied, 23199105 free *** Garbage collection starting *** GC 461 31-Oct-2003 20:18:36, 50 ms (0%), 1801372 occupied, 23198548 free *** Garbage collection starting *** GC 462 31-Oct-2003 20:18:37, 60 ms (0%), 1801996 occupied, 23197925 free *** Garbage collection starting *** GC 463 31-Oct-2003 20:18:38, 50 ms (0%), 1802688 occupied, 23197232 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1519 and e_1417. e_1417: 0=(2*q42 + q49 + q79)*p5 is replaced by e_1527: 0=(2*q42 + q49)*p5 e_1527 is a consequence of e_1291. 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 : *** Garbage collection starting *** GC 464 31-Oct-2003 20:18:39, 60 ms (0%), 1801054 occupied, 23198867 free *** Garbage collection starting *** GC 465 31-Oct-2003 20:18:40, 50 ms (0%), 1802136 occupied, 23197785 free *** Garbage collection starting *** GC 466 31-Oct-2003 20:18:41, 60 ms (0%), 1802498 occupied, 23197423 free *** Garbage collection starting *** GC 467 31-Oct-2003 20:18:42, 50 ms (0%), 1802952 occupied, 23196969 free *** Garbage collection starting *** GC 468 31-Oct-2003 20:18:43, 60 ms (0%), 1803074 occupied, 23196847 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_807 and e_1112. e_1112: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q81,q50,q24,p5) is replaced by e_1528: 0=(2*q50 - 3*q81)*p5 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 : *** Garbage collection starting *** GC 469 31-Oct-2003 20:18:44, 60 ms (0%), 1800408 occupied, 23199513 free *** Garbage collection starting *** GC 470 31-Oct-2003 20:18:45, 50 ms (0%), 1801430 occupied, 23198491 free *** Garbage collection starting *** GC 471 31-Oct-2003 20:18:45, 60 ms (0%), 1801986 occupied, 23197935 free *** Garbage collection starting *** GC 472 31-Oct-2003 20:18:46, 60 ms (0%), 1802256 occupied, 23197665 free *** Garbage collection starting *** GC 473 31-Oct-2003 20:18:47, 50 ms (0%), 1802366 occupied, 23197555 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1430 and e_1528. e_1528: 0=(2*q50 - 3*q81)*p5 is replaced by e_1531: 0=p5*q81 e_1531 is a consequence of e_1066. 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 : *** Garbage collection starting *** GC 474 31-Oct-2003 20:18:48, 60 ms (0%), 1801614 occupied, 23198307 free *** Garbage collection starting *** GC 475 31-Oct-2003 20:18:49, 50 ms (0%), 1801966 occupied, 23197955 free *** Garbage collection starting *** GC 476 31-Oct-2003 20:18:50, 50 ms (0%), 1802124 occupied, 23197797 free *** Garbage collection starting *** GC 477 31-Oct-2003 20:18:51, 50 ms (0%), 1802312 occupied, 23197609 free *** Garbage collection starting *** GC 478 31-Oct-2003 20:18:52, 50 ms (0%), 1802536 occupied, 23197385 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q37 from e_743 and e_1149. e_1149: 0=(2*q21 + q37 + 3*q80)*p5 is replaced by e_1532: 0=(q21 + 2*q80)*p5 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 : *** Garbage collection starting *** GC 479 31-Oct-2003 20:18:53, 50 ms (0%), 1800626 occupied, 23199295 free *** Garbage collection starting *** GC 480 31-Oct-2003 20:18:54, 50 ms (0%), 1800892 occupied, 23199029 free *** Garbage collection starting *** GC 481 31-Oct-2003 20:18:55, 60 ms (0%), 1801162 occupied, 23198759 free *** Garbage collection starting *** GC 482 31-Oct-2003 20:18:56, 50 ms (0%), 1801316 occupied, 23198605 free *** Garbage collection starting *** GC 483 31-Oct-2003 20:18:57, 60 ms (0%), 1801544 occupied, 23198377 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 484 31-Oct-2003 20:18:59, 70 ms (0%), 1881728 occupied, 23118083 free *** Garbage collection starting *** GC 485 31-Oct-2003 20:19:02, 60 ms (0%), 1830936 occupied, 23168955 free Eliminate q34 from e_1113 and e_1129. e_1129: 3 terms, 6 factors, with derivatives of functions of all variables: (q58,q34,q19,p8,p7,p5) is replaced by e_1535: 0=p5*q58 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 : *** Garbage collection starting *** GC 486 31-Oct-2003 20:19:04, 60 ms (0%), 1801582 occupied, 23198338 free *** Garbage collection starting *** GC 487 31-Oct-2003 20:19:05, 50 ms (0%), 1801766 occupied, 23198155 free *** Garbage collection starting *** GC 488 31-Oct-2003 20:19:05, 50 ms (0%), 1801946 occupied, 23197975 free *** Garbage collection starting *** GC 489 31-Oct-2003 20:19:06, 50 ms (0%), 1802150 occupied, 23197771 free *** Garbage collection starting *** GC 490 31-Oct-2003 20:19:07, 50 ms (0%), 1802398 occupied, 23197523 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_1537 and e_1113. e_1113: 0=p7*q34 + p8*q19 is replaced by e_1540: 0=p7*q18 + p8*q19 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 : *** Garbage collection starting *** GC 491 31-Oct-2003 20:19:09, 70 ms (0%), 1799734 occupied, 23200186 free *** Garbage collection starting *** GC 492 31-Oct-2003 20:19:10, 50 ms (0%), 1800028 occupied, 23199892 free *** Garbage collection starting *** GC 493 31-Oct-2003 20:19:11, 50 ms (0%), 1800100 occupied, 23199820 free *** Garbage collection starting *** GC 494 31-Oct-2003 20:19:12, 60 ms (0%), 1800460 occupied, 23199460 free *** Garbage collection starting *** GC 495 31-Oct-2003 20:19:13, 60 ms (0%), 1801370 occupied, 23198550 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q35 from e_987 and e_690. e_690: 0=p7*q35 + p8*q20 is replaced by e_1543: 0=p7*q18 - 3*p8*q20 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 : *** Garbage collection starting *** GC 496 31-Oct-2003 20:19:15, 60 ms (0%), 1800570 occupied, 23199351 free *** Garbage collection starting *** GC 497 31-Oct-2003 20:19:16, 60 ms (0%), 1801406 occupied, 23198515 free *** Garbage collection starting *** GC 498 31-Oct-2003 20:19:16, 50 ms (0%), 1802082 occupied, 23197839 free *** Garbage collection starting *** GC 499 31-Oct-2003 20:19:17, 50 ms (0%), 1802542 occupied, 23197379 free *** Garbage collection starting *** GC 500 31-Oct-2003 20:19:18, 60 ms (0%), 1802822 occupied, 23197099 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 501 31-Oct-2003 20:19:21, 70 ms (0%), 1892470 occupied, 23107321 free Eliminate q73 from e_1410 and e_1134. e_1134: 5 terms, 10 factors, with derivatives of functions of all variables: (q74,q73,q72,q43,q29,p8,p7) is replaced by e_1546: 4 terms, 8 factors, with derivatives of functions of all variables: (q74,q72,q43,q29,p8,p7) 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 : *** Garbage collection starting *** GC 502 31-Oct-2003 20:19:23, 60 ms (0%), 1801296 occupied, 23198626 free *** Garbage collection starting *** GC 503 31-Oct-2003 20:19:23, 50 ms (0%), 1802092 occupied, 23197830 free *** Garbage collection starting *** GC 504 31-Oct-2003 20:19:24, 60 ms (0%), 1802348 occupied, 23197574 free *** Garbage collection starting *** GC 505 31-Oct-2003 20:19:25, 50 ms (0%), 1802442 occupied, 23197480 free *** Garbage collection starting *** GC 506 31-Oct-2003 20:19:26, 50 ms (0%), 1802770 occupied, 23197152 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 507 31-Oct-2003 20:19:29, 60 ms (0%), 1894791 occupied, 23105003 free *** Garbage collection starting *** GC 508 31-Oct-2003 20:19:32, 70 ms (0%), 1876320 occupied, 23123497 free *** Garbage collection starting *** GC 509 31-Oct-2003 20:19:34, 50 ms (0%), 1852548 occupied, 23147308 free *** Garbage collection starting *** GC 510 31-Oct-2003 20:19:37, 60 ms (0%), 1827701 occupied, 23172191 free Eliminate q73 from e_1410 and e_1067. e_1067: 4 terms, 8 factors, with derivatives of functions of all variables: (q73,q72,q43,q1,p8,p7) is replaced by e_1551: 3 terms, 6 factors, with derivatives of functions of all variables: (q43,q29,q1,p8,p7) 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 : *** Garbage collection starting *** GC 511 31-Oct-2003 20:19:38, 60 ms (0%), 1801238 occupied, 23198682 free *** Garbage collection starting *** GC 512 31-Oct-2003 20:19:39, 50 ms (0%), 1802232 occupied, 23197689 free *** Garbage collection starting *** GC 513 31-Oct-2003 20:19:40, 60 ms (0%), 1802664 occupied, 23197256 free *** Garbage collection starting *** GC 514 31-Oct-2003 20:19:41, 60 ms (0%), 1803244 occupied, 23196677 free *** Garbage collection starting *** GC 515 31-Oct-2003 20:19:42, 50 ms (0%), 1803426 occupied, 23196494 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_878 and e_850. e_850: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q32,q17,p8,p7,p5) is replaced by e_1555: 0=(3*q21 - 2*q57)*p5 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 : *** Garbage collection starting *** GC 516 31-Oct-2003 20:19:44, 60 ms (0%), 1801390 occupied, 23198532 free *** Garbage collection starting *** GC 517 31-Oct-2003 20:19:45, 60 ms (0%), 1801836 occupied, 23198086 free *** Garbage collection starting *** GC 518 31-Oct-2003 20:19:45, 60 ms (0%), 1802252 occupied, 23197670 free *** Garbage collection starting *** GC 519 31-Oct-2003 20:19:46, 50 ms (0%), 1802374 occupied, 23197548 free *** Garbage collection starting *** GC 520 31-Oct-2003 20:19:47, 60 ms (0%), 1802542 occupied, 23197380 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q57 from e_1555 and e_1025. e_1025: 3 terms, 6 factors, with derivatives of functions of all variables: (q57,q32,q19,p7,p5) is replaced by e_227: 3 terms, 6 factors, with derivatives of functions of all variables: (q32,q21,q19,p7,p5) 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 : *** Garbage collection starting *** GC 521 31-Oct-2003 20:19:48, 50 ms (0%), 1800294 occupied, 23199628 free *** Garbage collection starting *** GC 522 31-Oct-2003 20:19:49, 50 ms (0%), 1802064 occupied, 23197858 free *** Garbage collection starting *** GC 523 31-Oct-2003 20:19:50, 60 ms (0%), 1802228 occupied, 23197694 free *** Garbage collection starting *** GC 524 31-Oct-2003 20:19:51, 60 ms (0%), 1802416 occupied, 23197506 free *** Garbage collection starting *** GC 525 31-Oct-2003 20:19:52, 50 ms (0%), 1802646 occupied, 23197276 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_878 and e_769. e_769: 3 terms, 6 factors, with derivatives of functions of all variables: (q49,q32,q17,p8,p7,p5) is replaced by e_1016: 0=(3*q21 - q49)*p5 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 : *** Garbage collection starting *** GC 526 31-Oct-2003 20:19:53, 60 ms (0%), 1801910 occupied, 23198012 free *** Garbage collection starting *** GC 527 31-Oct-2003 20:19:54, 50 ms (0%), 1802200 occupied, 23197722 free *** Garbage collection starting *** GC 528 31-Oct-2003 20:19:55, 50 ms (0%), 1802446 occupied, 23197476 free *** Garbage collection starting *** GC 529 31-Oct-2003 20:19:56, 50 ms (0%), 1802524 occupied, 23197398 free *** Garbage collection starting *** GC 530 31-Oct-2003 20:19:57, 60 ms (0%), 1802842 occupied, 23197079 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1016 and e_684. e_684: 0=(9*q21 - 4*q25 - q49)*p5 is replaced by e_551: 0=(3*q21 - 2*q25)*p5 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 : *** Garbage collection starting *** GC 531 31-Oct-2003 20:19:58, 60 ms (0%), 1801954 occupied, 23197968 free *** Garbage collection starting *** GC 532 31-Oct-2003 20:19:59, 40 ms (0%), 1802352 occupied, 23197570 free *** Garbage collection starting *** GC 533 31-Oct-2003 20:20:00, 60 ms (0%), 1803032 occupied, 23196890 free *** Garbage collection starting *** GC 534 31-Oct-2003 20:20:01, 60 ms (0%), 1803326 occupied, 23196596 free *** Garbage collection starting *** GC 535 31-Oct-2003 20:20:01, 50 ms (0%), 1803514 occupied, 23196408 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1546. e_1546: 4 terms, 8 factors, with derivatives of functions of all variables: (q74,q72,q43,q29,p8,p7) is replaced by e_1117: 3 terms, 6 factors, with derivatives of functions of all variables: (q74,q72,q1,p8,p7) 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 : *** Garbage collection starting *** GC 536 31-Oct-2003 20:20:03, 60 ms (0%), 1801554 occupied, 23198368 free *** Garbage collection starting *** GC 537 31-Oct-2003 20:20:04, 50 ms (0%), 1802742 occupied, 23197180 free *** Garbage collection starting *** GC 538 31-Oct-2003 20:20:05, 60 ms (0%), 1803208 occupied, 23196714 free *** Garbage collection starting *** GC 539 31-Oct-2003 20:20:06, 50 ms (0%), 1803496 occupied, 23196426 free *** Garbage collection starting *** GC 540 31-Oct-2003 20:20:06, 60 ms (0%), 1803596 occupied, 23196326 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1240 and e_1118. e_1118: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q9,q8,q7,p8,p7) is replaced by e_926: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q7,q4,p8,p7) 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 : *** Garbage collection starting *** GC 541 31-Oct-2003 20:20:08, 60 ms (0%), 1801618 occupied, 23198304 free *** Garbage collection starting *** GC 542 31-Oct-2003 20:20:09, 50 ms (0%), 1801814 occupied, 23198108 free *** Garbage collection starting *** GC 543 31-Oct-2003 20:20:10, 50 ms (0%), 1802028 occupied, 23197894 free *** Garbage collection starting *** GC 544 31-Oct-2003 20:20:10, 50 ms (0%), 1802298 occupied, 23197624 free *** Garbage collection starting *** GC 545 31-Oct-2003 20:20:11, 50 ms (0%), 1802550 occupied, 23197372 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_926. e_926: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q7,q4,p8,p7) is replaced by e_1267: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q7,q5,q4,p8,p7) 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 : *** Garbage collection starting *** GC 546 31-Oct-2003 20:20:13, 60 ms (0%), 1800936 occupied, 23198986 free *** Garbage collection starting *** GC 547 31-Oct-2003 20:20:14, 60 ms (0%), 1801018 occupied, 23198904 free *** Garbage collection starting *** GC 548 31-Oct-2003 20:20:15, 50 ms (0%), 1801416 occupied, 23198506 free *** Garbage collection starting *** GC 549 31-Oct-2003 20:20:16, 50 ms (0%), 1802166 occupied, 23197756 free *** Garbage collection starting *** GC 550 31-Oct-2003 20:20:17, 50 ms (0%), 1802762 occupied, 23197160 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 551 31-Oct-2003 20:20:20, 70 ms (0%), 1903843 occupied, 23095951 free Eliminate q73 from e_1410 and e_472. e_472: 6 terms, 12 factors, with derivatives of functions of all variables: (q83,q73,q72,q71,q43,q29,p8,p7,p5) is replaced by e_1434: 5 terms, 10 factors, with derivatives of functions of all variables: (q83,q72,q71,q43,q29,p8,p7,p5) 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 : *** Garbage collection starting *** GC 552 31-Oct-2003 20:20:22, 70 ms (0%), 1801108 occupied, 23198814 free *** Garbage collection starting *** GC 553 31-Oct-2003 20:20:23, 60 ms (0%), 1801378 occupied, 23198543 free *** Garbage collection starting *** GC 554 31-Oct-2003 20:20:24, 50 ms (0%), 1802682 occupied, 23197240 free *** Garbage collection starting *** GC 555 31-Oct-2003 20:20:25, 50 ms (0%), 1803482 occupied, 23196440 free *** Garbage collection starting *** GC 556 31-Oct-2003 20:20:25, 60 ms (0%), 1803828 occupied, 23196094 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 557 31-Oct-2003 20:20:28, 60 ms (0%), 1807843 occupied, 23192076 free *** Garbage collection starting *** GC 558 31-Oct-2003 20:20:31, 60 ms (0%), 1818853 occupied, 23181058 free *** Garbage collection starting *** GC 559 31-Oct-2003 20:20:34, 70 ms (0%), 1830807 occupied, 23169077 free *** Garbage collection starting *** GC 560 31-Oct-2003 20:20:36, 60 ms (0%), 1840948 occupied, 23158935 free Eliminate q47 from e_1506 and e_1346. e_1346: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q53,q47,q8,p8,p7) is replaced by e_1424: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q53,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 561 31-Oct-2003 20:20:38, 60 ms (0%), 1801894 occupied, 23198029 free *** Garbage collection starting *** GC 562 31-Oct-2003 20:20:39, 60 ms (0%), 1803228 occupied, 23196694 free *** Garbage collection starting *** GC 563 31-Oct-2003 20:20:40, 50 ms (0%), 1803586 occupied, 23196337 free *** Garbage collection starting *** GC 564 31-Oct-2003 20:20:41, 60 ms (0%), 1803786 occupied, 23196136 free *** Garbage collection starting *** GC 565 31-Oct-2003 20:20:42, 60 ms (0%), 1803840 occupied, 23196082 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 566 31-Oct-2003 20:20:45, 70 ms (0%), 1820495 occupied, 23179413 free Eliminate q47 from e_1506 and e_1509. e_1509: 8 terms, 16 factors, with derivatives of functions of all variables: (q54,q47,q41,q27,q26,q23,q22,q8,p8,p7) is replaced by e_1155: 7 terms, 14 factors, with derivatives of functions of all variables: (q54,q41,q27,q26,q23,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 567 31-Oct-2003 20:20:46, 50 ms (0%), 1802572 occupied, 23197351 free *** Garbage collection starting *** GC 568 31-Oct-2003 20:20:47, 50 ms (0%), 1802834 occupied, 23197089 free *** Garbage collection starting *** GC 569 31-Oct-2003 20:20:48, 60 ms (0%), 1803110 occupied, 23196813 free *** Garbage collection starting *** GC 570 31-Oct-2003 20:20:48, 50 ms (0%), 1803388 occupied, 23196535 free *** Garbage collection starting *** GC 571 31-Oct-2003 20:20:49, 60 ms (0%), 1803664 occupied, 23196259 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1363 and e_1296. e_1296: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q77,q76,q10,q7,p8,p7) is replaced by e_1315: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q76,q10,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 572 31-Oct-2003 20:20:50, 50 ms (0%), 1801912 occupied, 23198011 free *** Garbage collection starting *** GC 573 31-Oct-2003 20:20:51, 50 ms (0%), 1802178 occupied, 23197745 free *** Garbage collection starting *** GC 574 31-Oct-2003 20:20:52, 50 ms (0%), 1803068 occupied, 23196855 free *** Garbage collection starting *** GC 575 31-Oct-2003 20:20:53, 60 ms (0%), 1803700 occupied, 23196223 free *** Garbage collection starting *** GC 576 31-Oct-2003 20:20:54, 60 ms (0%), 1804346 occupied, 23195577 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1363 and e_1164. e_1164: 5 terms, 10 factors, with derivatives of functions of all variables: (q77,q76,q75,q10,q7,p8,p7) is replaced by e_1084: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q10,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 577 31-Oct-2003 20:20:56, 50 ms (0%), 1802314 occupied, 23197608 free *** Garbage collection starting *** GC 578 31-Oct-2003 20:20:57, 60 ms (0%), 1803610 occupied, 23196312 free *** Garbage collection starting *** GC 579 31-Oct-2003 20:20:58, 50 ms (0%), 1804496 occupied, 23195426 free *** Garbage collection starting *** GC 580 31-Oct-2003 20:20:59, 50 ms (0%), 1804746 occupied, 23195176 free *** Garbage collection starting *** GC 581 31-Oct-2003 20:20:59, 50 ms (0%), 1805090 occupied, 23194832 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_539 and e_804. e_804: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q77,q75,q9,q8,p8,p7) is replaced by e_1214: 5 terms, 10 factors, with derivatives of functions of all variables: (q77,q75,q9,q8,q4,p8,p7) 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 : *** Garbage collection starting *** GC 582 31-Oct-2003 20:21:01, 60 ms (0%), 1803292 occupied, 23196631 free *** Garbage collection starting *** GC 583 31-Oct-2003 20:21:02, 50 ms (0%), 1804092 occupied, 23195831 free *** Garbage collection starting *** GC 584 31-Oct-2003 20:21:03, 60 ms (0%), 1804288 occupied, 23195635 free *** Garbage collection starting *** GC 585 31-Oct-2003 20:21:04, 50 ms (0%), 1804484 occupied, 23195439 free *** Garbage collection starting *** GC 586 31-Oct-2003 20:21:05, 50 ms (0%), 1804668 occupied, 23195255 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_539 and e_1328. e_1328: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q76,q75,q9,q8,p8,p7) is replaced by e_1435: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q9,q8,q4,p8,p7) 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 : *** Garbage collection starting *** GC 587 31-Oct-2003 20:21:07, 60 ms (0%), 1802402 occupied, 23197521 free *** Garbage collection starting *** GC 588 31-Oct-2003 20:21:08, 60 ms (0%), 1802684 occupied, 23197239 free *** Garbage collection starting *** GC 589 31-Oct-2003 20:21:09, 50 ms (0%), 1802936 occupied, 23196987 free *** Garbage collection starting *** GC 590 31-Oct-2003 20:21:10, 50 ms (0%), 1803064 occupied, 23196859 free *** Garbage collection starting *** GC 591 31-Oct-2003 20:21:11, 60 ms (0%), 1803306 occupied, 23196617 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1435 and e_799. e_799: 5 terms, 10 factors, with derivatives of functions of all variables: (q79,q76,q75,q9,q8,p8,p7) is replaced by e_1421: 3 terms, 6 factors, with derivatives of functions of all variables: (q79,q9,q4,p8,p7) 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 : *** Garbage collection starting *** GC 592 31-Oct-2003 20:21:13, 60 ms (0%), 1802618 occupied, 23197305 free *** Garbage collection starting *** GC 593 31-Oct-2003 20:21:13, 50 ms (0%), 1803420 occupied, 23196503 free *** Garbage collection starting *** GC 594 31-Oct-2003 20:21:14, 60 ms (0%), 1804336 occupied, 23195587 free *** Garbage collection starting *** GC 595 31-Oct-2003 20:21:15, 60 ms (0%), 1804768 occupied, 23195155 free *** Garbage collection starting *** GC 596 31-Oct-2003 20:21:16, 50 ms (0%), 1805276 occupied, 23194647 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1084 and e_1315. e_1315: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q76,q10,q7,q3,p8,p7) is replaced by e_848: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q75,q10,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 597 31-Oct-2003 20:21:18, 60 ms (0%), 1803568 occupied, 23196355 free *** Garbage collection starting *** GC 598 31-Oct-2003 20:21:19, 50 ms (0%), 1804638 occupied, 23195285 free *** Garbage collection starting *** GC 599 31-Oct-2003 20:21:20, 50 ms (0%), 1805170 occupied, 23194753 free *** Garbage collection starting *** GC 600 31-Oct-2003 20:21:21, 50 ms (0%), 1805318 occupied, 23194605 free *** Garbage collection starting *** GC 601 31-Oct-2003 20:21:21, 50 ms (0%), 1805438 occupied, 23194485 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_1425 and e_712. e_712: 5 terms, 10 factors, with derivatives of functions of all variables: (q74,q73,q71,q44,q28,p8,p7) is replaced by e_922: 5 terms, 10 factors, with derivatives of functions of all variables: (q73,q72,q71,q44,q28,p8,p7) 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 : *** Garbage collection starting *** GC 602 31-Oct-2003 20:21:23, 50 ms (0%), 1802606 occupied, 23197317 free *** Garbage collection starting *** GC 603 31-Oct-2003 20:21:24, 60 ms (0%), 1802898 occupied, 23197025 free *** Garbage collection starting *** GC 604 31-Oct-2003 20:21:25, 50 ms (0%), 1803178 occupied, 23196745 free *** Garbage collection starting *** GC 605 31-Oct-2003 20:21:26, 50 ms (0%), 1803456 occupied, 23196467 free *** Garbage collection starting *** GC 606 31-Oct-2003 20:21:27, 50 ms (0%), 1803678 occupied, 23196245 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_227 and e_878. e_227: 3 terms, 6 factors, with derivatives of functions of all variables: (q32,q21,q19,p7,p5) is replaced by e_1349: 0=p7*q19 + 3*p8*q17 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 : *** Garbage collection starting *** GC 607 31-Oct-2003 20:21:29, 60 ms (0%), 1802614 occupied, 23197308 free *** Garbage collection starting *** GC 608 31-Oct-2003 20:21:30, 60 ms (0%), 1803032 occupied, 23196889 free *** Garbage collection starting *** GC 609 31-Oct-2003 20:21:31, 50 ms (0%), 1804054 occupied, 23195867 free *** Garbage collection starting *** GC 610 31-Oct-2003 20:21:31, 60 ms (0%), 1804776 occupied, 23195145 free *** Garbage collection starting *** GC 611 31-Oct-2003 20:21:32, 60 ms (0%), 1805250 occupied, 23194671 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_1349 and e_1124. e_1124: 0=p7*q19 - p8*q34 is replaced by e_1017: 0=(3*q17 + q34)*p8 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 : *** Garbage collection starting *** GC 612 31-Oct-2003 20:21:34, 60 ms (0%), 1803808 occupied, 23196115 free *** Garbage collection starting *** GC 613 31-Oct-2003 20:21:35, 50 ms (0%), 1804964 occupied, 23194959 free *** Garbage collection starting *** GC 614 31-Oct-2003 20:21:36, 50 ms (0%), 1805398 occupied, 23194525 free *** Garbage collection starting *** GC 615 31-Oct-2003 20:21:37, 60 ms (0%), 1805624 occupied, 23194299 free *** Garbage collection starting *** GC 616 31-Oct-2003 20:21:37, 50 ms (0%), 1805782 occupied, 23194141 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 617 31-Oct-2003 20:21:40, 70 ms (0%), 1836683 occupied, 23163211 free *** Garbage collection starting *** GC 618 31-Oct-2003 20:21:43, 80 ms (0%), 1857697 occupied, 23142177 free *** Garbage collection starting *** GC 619 31-Oct-2003 20:21:46, 60 ms (0%), 1876595 occupied, 23123242 free *** Garbage collection starting *** GC 620 31-Oct-2003 20:21:48, 60 ms (0%), 1891081 occupied, 23108731 free Eliminate q73 from e_1410 and e_1399. e_1399: 8 terms, 16 factors, with derivatives of functions of all variables: (q83,q73,q72,q70,q67,q52,q44,q29,p8,p7,p5) is replaced by e_1110: 6 terms, 12 factors, with derivatives of functions of all variables: (q83,q70,q67,q52,q44,q29,p8,p7,p5) Step 1048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 621 31-Oct-2003 20:21:50, 60 ms (0%), 1804110 occupied, 23195812 free *** Garbage collection starting *** GC 622 31-Oct-2003 20:21:50, 50 ms (0%), 1804436 occupied, 23195487 free *** Garbage collection starting *** GC 623 31-Oct-2003 20:21:51, 50 ms (0%), 1804706 occupied, 23195217 free *** Garbage collection starting *** GC 624 31-Oct-2003 20:21:52, 50 ms (0%), 1804988 occupied, 23194935 free *** Garbage collection starting *** GC 625 31-Oct-2003 20:21:53, 50 ms (0%), 1805280 occupied, 23194643 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1022. e_1022: 8 terms, 16 factors, with derivatives of functions of all variables: (q76,q71,q63,q62,q57,q42,q25,q7,p8,p7,p5) is replaced by e_1119: 6 terms, 12 factors, with derivatives of functions of all variables: (q71,q62,q57,q42,q25,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 626 31-Oct-2003 20:21:54, 70 ms (0%), 1804198 occupied, 23195725 free *** Garbage collection starting *** GC 627 31-Oct-2003 20:21:55, 60 ms (0%), 1804450 occupied, 23195473 free *** Garbage collection starting *** GC 628 31-Oct-2003 20:21:56, 50 ms (0%), 1804646 occupied, 23195277 free *** Garbage collection starting *** GC 629 31-Oct-2003 20:21:57, 50 ms (0%), 1805396 occupied, 23194527 free *** Garbage collection starting *** GC 630 31-Oct-2003 20:21:58, 60 ms (0%), 1806014 occupied, 23193909 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1267 and e_1421. e_1421: 3 terms, 6 factors, with derivatives of functions of all variables: (q79,q9,q4,p8,p7) is replaced by e_1231: 0=(3*q5 - 2*q7 + q79)*p8 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 : *** Garbage collection starting *** GC 631 31-Oct-2003 20:21:59, 60 ms (0%), 1803768 occupied, 23196155 free *** Garbage collection starting *** GC 632 31-Oct-2003 20:22:00, 50 ms (0%), 1804968 occupied, 23194955 free *** Garbage collection starting *** GC 633 31-Oct-2003 20:22:01, 60 ms (0%), 1805702 occupied, 23194221 free *** Garbage collection starting *** GC 634 31-Oct-2003 20:22:02, 50 ms (0%), 1805974 occupied, 23193949 free *** Garbage collection starting *** GC 635 31-Oct-2003 20:22:03, 60 ms (0%), 1806284 occupied, 23193639 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1422 and e_1500. e_1500: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q64,q58,q54,q47,q41,q26,q24,q8,p8,p7) is replaced by e_1256: 6 terms, 12 factors, with derivatives of functions of all variables: (q54,q47,q41,q26,q24,q8,p8,p7) 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 : *** Garbage collection starting *** GC 636 31-Oct-2003 20:22:05, 60 ms (0%), 1804240 occupied, 23195683 free *** Garbage collection starting *** GC 637 31-Oct-2003 20:22:06, 50 ms (0%), 1805926 occupied, 23193997 free *** Garbage collection starting *** GC 638 31-Oct-2003 20:22:07, 50 ms (0%), 1806304 occupied, 23193619 free *** Garbage collection starting *** GC 639 31-Oct-2003 20:22:08, 50 ms (0%), 1806416 occupied, 23193507 free *** Garbage collection starting *** GC 640 31-Oct-2003 20:22:09, 50 ms (0%), 1806614 occupied, 23193309 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 641 31-Oct-2003 20:22:11, 70 ms (0%), 1869095 occupied, 23130752 free *** Garbage collection starting *** GC 642 31-Oct-2003 20:22:14, 60 ms (0%), 1900246 occupied, 23099564 free *** Garbage collection starting *** GC 643 31-Oct-2003 20:22:17, 60 ms (0%), 1867364 occupied, 23132475 free *** Garbage collection starting *** GC 644 31-Oct-2003 20:22:20, 50 ms (0%), 1809080 occupied, 23190839 free Eliminate q47 from e_1506 and e_1256. e_1256: 6 terms, 12 factors, with derivatives of functions of all variables: (q54,q47,q41,q26,q24,q8,p8,p7) is replaced by e_1383: 6 terms, 12 factors, with derivatives of functions of all variables: (q54,q41,q26,q24,q22,q8,p8,p7) 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 645 31-Oct-2003 20:22:21, 50 ms (0%), 1804726 occupied, 23195196 free *** Garbage collection starting *** GC 646 31-Oct-2003 20:22:22, 50 ms (0%), 1805004 occupied, 23194918 free *** Garbage collection starting *** GC 647 31-Oct-2003 20:22:23, 60 ms (0%), 1805288 occupied, 23194634 free *** Garbage collection starting *** GC 648 31-Oct-2003 20:22:24, 50 ms (0%), 1805544 occupied, 23194378 free *** Garbage collection starting *** GC 649 31-Oct-2003 20:22:25, 60 ms (0%), 1805656 occupied, 23194266 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1434. e_1434: 5 terms, 10 factors, with derivatives of functions of all variables: (q83,q72,q71,q43,q29,p8,p7,p5) is replaced by e_1244: 5 terms, 10 factors, with derivatives of functions of all variables: (q83,q72,q71,q29,q1,p8,p7,p5) 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 : *** Garbage collection starting *** GC 650 31-Oct-2003 20:22:27, 60 ms (0%), 1804028 occupied, 23195895 free *** Garbage collection starting *** GC 651 31-Oct-2003 20:22:28, 50 ms (0%), 1804324 occupied, 23195599 free *** Garbage collection starting *** GC 652 31-Oct-2003 20:22:29, 60 ms (0%), 1804754 occupied, 23195169 free *** Garbage collection starting *** GC 653 31-Oct-2003 20:22:30, 60 ms (0%), 1805570 occupied, 23194352 free *** Garbage collection starting *** GC 654 31-Oct-2003 20:22:31, 60 ms (0%), 1806308 occupied, 23193614 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1422 and e_1356. e_1356: 6 terms, 12 factors, with derivatives of functions of all variables: (q78,q64,q59,q58,q41,q8,p8,p7) is replaced by e_1012: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q41,q24,q8,p8,p7) Step 1054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 655 31-Oct-2003 20:22:32, 60 ms (0%), 1804300 occupied, 23195623 free *** Garbage collection starting *** GC 656 31-Oct-2003 20:22:33, 50 ms (0%), 1805290 occupied, 23194633 free *** Garbage collection starting *** GC 657 31-Oct-2003 20:22:34, 50 ms (0%), 1806372 occupied, 23193551 free *** Garbage collection starting *** GC 658 31-Oct-2003 20:22:35, 60 ms (0%), 1806858 occupied, 23193065 free *** Garbage collection starting *** GC 659 31-Oct-2003 20:22:36, 60 ms (0%), 1807136 occupied, 23192787 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1010. e_1010: 6 terms, 12 factors, with derivatives of functions of all variables: (q79,q77,q76,q10,q9,q7,p8,p7) is replaced by e_1234: 6 terms, 12 factors, with derivatives of functions of all variables: (q77,q76,q10,q9,q7,q4,p8,p7) Step 1056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 660 31-Oct-2003 20:22:39, 60 ms (0%), 1804182 occupied, 23195740 free *** Garbage collection starting *** GC 661 31-Oct-2003 20:22:40, 50 ms (0%), 1806080 occupied, 23193842 free *** Garbage collection starting *** GC 662 31-Oct-2003 20:22:41, 50 ms (0%), 1806278 occupied, 23193644 free *** Garbage collection starting *** GC 663 31-Oct-2003 20:22:42, 50 ms (0%), 1806534 occupied, 23193388 free *** Garbage collection starting *** GC 664 31-Oct-2003 20:22:42, 50 ms (0%), 1806802 occupied, 23193120 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1363 and e_729. e_729: 5 terms, 10 factors, with derivatives of functions of all variables: (q77,q76,q10,q9,q7,p8,p7) is replaced by e_1490: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q9,q7,q3,p8,p7) Step 1058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 665 31-Oct-2003 20:22:45, 60 ms (0%), 1804504 occupied, 23195419 free *** Garbage collection starting *** GC 666 31-Oct-2003 20:22:46, 60 ms (0%), 1804762 occupied, 23195161 free *** Garbage collection starting *** GC 667 31-Oct-2003 20:22:46, 50 ms (0%), 1804786 occupied, 23195137 free *** Garbage collection starting *** GC 668 31-Oct-2003 20:22:47, 60 ms (0%), 1805466 occupied, 23194457 free *** Garbage collection starting *** GC 669 31-Oct-2003 20:22:48, 50 ms (0%), 1806228 occupied, 23193695 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 670 31-Oct-2003 20:22:51, 60 ms (0%), 1882188 occupied, 23117643 free Eliminate q10 from e_1490 and e_848. e_848: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q75,q10,q7,q3,p8,p7) is replaced by e_694: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q75,q9,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 671 31-Oct-2003 20:22:52, 60 ms (0%), 1805514 occupied, 23194409 free *** Garbage collection starting *** GC 672 31-Oct-2003 20:22:53, 50 ms (0%), 1806480 occupied, 23193443 free *** Garbage collection starting *** GC 673 31-Oct-2003 20:22:54, 50 ms (0%), 1807132 occupied, 23192790 free *** Garbage collection starting *** GC 674 31-Oct-2003 20:22:55, 60 ms (0%), 1807388 occupied, 23192534 free *** Garbage collection starting *** GC 675 31-Oct-2003 20:22:56, 60 ms (0%), 1807720 occupied, 23192202 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1490 and e_1084. e_1084: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q10,q7,q3,p8,p7) is replaced by e_1470: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q9,q7,q3,p8,p7) 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 676 31-Oct-2003 20:22:58, 50 ms (0%), 1805378 occupied, 23194545 free *** Garbage collection starting *** GC 677 31-Oct-2003 20:22:59, 50 ms (0%), 1806714 occupied, 23193209 free *** Garbage collection starting *** GC 678 31-Oct-2003 20:23:00, 60 ms (0%), 1807020 occupied, 23192903 free *** Garbage collection starting *** GC 679 31-Oct-2003 20:23:01, 60 ms (0%), 1807236 occupied, 23192687 free *** Garbage collection starting *** GC 680 31-Oct-2003 20:23:02, 50 ms (0%), 1807490 occupied, 23192433 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1419. e_1419: 6 terms, 12 factors, with derivatives of functions of all variables: (q79,q77,q76,q10,q8,q7,p8,p7) is replaced by e_1507: 6 terms, 12 factors, with derivatives of functions of all variables: (q77,q76,q10,q8,q7,q4,p8,p7) 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 : *** Garbage collection starting *** GC 681 31-Oct-2003 20:23:04, 50 ms (0%), 1805054 occupied, 23194869 free *** Garbage collection starting *** GC 682 31-Oct-2003 20:23:05, 50 ms (0%), 1805364 occupied, 23194559 free *** Garbage collection starting *** GC 683 31-Oct-2003 20:23:06, 60 ms (0%), 1805438 occupied, 23194485 free *** Garbage collection starting *** GC 684 31-Oct-2003 20:23:07, 50 ms (0%), 1805978 occupied, 23193945 free *** Garbage collection starting *** GC 685 31-Oct-2003 20:23:08, 50 ms (0%), 1806876 occupied, 23193047 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1363 and e_1508. e_1508: 5 terms, 10 factors, with derivatives of functions of all variables: (q77,q76,q10,q8,q7,p8,p7) is replaced by e_1513: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q8,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 686 31-Oct-2003 20:23:10, 60 ms (0%), 1805598 occupied, 23194324 free *** Garbage collection starting *** GC 687 31-Oct-2003 20:23:11, 50 ms (0%), 1806784 occupied, 23193138 free *** Garbage collection starting *** GC 688 31-Oct-2003 20:23:12, 50 ms (0%), 1807238 occupied, 23192684 free *** Garbage collection starting *** GC 689 31-Oct-2003 20:23:12, 50 ms (0%), 1807764 occupied, 23192158 free *** Garbage collection starting *** GC 690 31-Oct-2003 20:23:13, 50 ms (0%), 1808000 occupied, 23191922 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1513 and e_1490. e_1490: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q9,q7,q3,p8,p7) is replaced by e_1397: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 691 31-Oct-2003 20:23:15, 70 ms (0%), 1806316 occupied, 23193607 free *** Garbage collection starting *** GC 692 31-Oct-2003 20:23:16, 50 ms (0%), 1807016 occupied, 23192907 free *** Garbage collection starting *** GC 693 31-Oct-2003 20:23:17, 50 ms (0%), 1807334 occupied, 23192589 free *** Garbage collection starting *** GC 694 31-Oct-2003 20:23:18, 50 ms (0%), 1807558 occupied, 23192365 free *** Garbage collection starting *** GC 695 31-Oct-2003 20:23:19, 50 ms (0%), 1807820 occupied, 23192103 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1397 and e_538. e_538: 4 terms, 8 factors, with derivatives of functions of all variables: (q79,q9,q7,q3,p8,p7) is replaced by e_1518: 4 terms, 8 factors, with derivatives of functions of all variables: (q79,q8,q7,q3,p8,p7) 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 696 31-Oct-2003 20:23:21, 60 ms (0%), 1805460 occupied, 23194463 free *** Garbage collection starting *** GC 697 31-Oct-2003 20:23:22, 60 ms (0%), 1805750 occupied, 23194173 free *** Garbage collection starting *** GC 698 31-Oct-2003 20:23:23, 50 ms (0%), 1805794 occupied, 23194129 free *** Garbage collection starting *** GC 699 31-Oct-2003 20:23:24, 60 ms (0%), 1806474 occupied, 23193449 free *** Garbage collection starting *** GC 700 31-Oct-2003 20:23:25, 50 ms (0%), 1807292 occupied, 23192631 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1518 and e_584. e_584: 5 terms, 10 factors, with derivatives of functions of all variables: (q79,q10,q8,q7,q6,p8,p7) is replaced by e_1251: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q7,q6,q3,p8,p7) 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 701 31-Oct-2003 20:23:27, 60 ms (0%), 1805964 occupied, 23193959 free *** Garbage collection starting *** GC 702 31-Oct-2003 20:23:28, 50 ms (0%), 1806994 occupied, 23192929 free *** Garbage collection starting *** GC 703 31-Oct-2003 20:23:29, 60 ms (0%), 1807890 occupied, 23192033 free *** Garbage collection starting *** GC 704 31-Oct-2003 20:23:30, 50 ms (0%), 1808080 occupied, 23191843 free *** Garbage collection starting *** GC 705 31-Oct-2003 20:23:31, 60 ms (0%), 1808326 occupied, 23191597 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1251 and e_1513. e_1513: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q8,q7,q3,p8,p7) is replaced by e_1525: 4 terms, 8 factors, with derivatives of functions of all variables: (q8,q7,q6,q3,p8,p7) 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 706 31-Oct-2003 20:23:33, 50 ms (0%), 1806980 occupied, 23192943 free *** Garbage collection starting *** GC 707 31-Oct-2003 20:23:34, 50 ms (0%), 1807598 occupied, 23192325 free *** Garbage collection starting *** GC 708 31-Oct-2003 20:23:35, 50 ms (0%), 1807820 occupied, 23192102 free *** Garbage collection starting *** GC 709 31-Oct-2003 20:23:36, 50 ms (0%), 1808066 occupied, 23191857 free *** Garbage collection starting *** GC 710 31-Oct-2003 20:23:37, 50 ms (0%), 1808334 occupied, 23191589 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1525 and e_1518. e_1518: 4 terms, 8 factors, with derivatives of functions of all variables: (q79,q8,q7,q3,p8,p7) is replaced by e_1112: 4 terms, 8 factors, with derivatives of functions of all variables: (q79,q7,q6,q3,p8,p7) 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 711 31-Oct-2003 20:23:39, 50 ms (0%), 1805900 occupied, 23194023 free *** Garbage collection starting *** GC 712 31-Oct-2003 20:23:40, 60 ms (0%), 1806048 occupied, 23193875 free *** Garbage collection starting *** GC 713 31-Oct-2003 20:23:41, 60 ms (0%), 1806306 occupied, 23193617 free *** Garbage collection starting *** GC 714 31-Oct-2003 20:23:42, 60 ms (0%), 1807334 occupied, 23192589 free *** Garbage collection starting *** GC 715 31-Oct-2003 20:23:43, 60 ms (0%), 1808060 occupied, 23191863 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1525 and e_1397. e_1397: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q7,q3,p8,p7) is replaced by e_1149: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 716 31-Oct-2003 20:23:45, 50 ms (0%), 1806420 occupied, 23193502 free *** Garbage collection starting *** GC 717 31-Oct-2003 20:23:46, 50 ms (0%), 1807626 occupied, 23192296 free *** Garbage collection starting *** GC 718 31-Oct-2003 20:23:47, 50 ms (0%), 1808310 occupied, 23191612 free *** Garbage collection starting *** GC 719 31-Oct-2003 20:23:48, 50 ms (0%), 1808804 occupied, 23191118 free *** Garbage collection starting *** GC 720 31-Oct-2003 20:23:49, 50 ms (0%), 1808976 occupied, 23190946 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_1470. e_1470: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q9,q7,q3,p8,p7) is replaced by e_993: 5 terms, 10 factors, with derivatives of functions of all variables: (q76,q75,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 721 31-Oct-2003 20:23:51, 50 ms (0%), 1807004 occupied, 23192919 free *** Garbage collection starting *** GC 722 31-Oct-2003 20:23:52, 60 ms (0%), 1807336 occupied, 23192587 free *** Garbage collection starting *** GC 723 31-Oct-2003 20:23:53, 60 ms (0%), 1807564 occupied, 23192359 free *** Garbage collection starting *** GC 724 31-Oct-2003 20:23:54, 50 ms (0%), 1807846 occupied, 23192077 free *** Garbage collection starting *** GC 725 31-Oct-2003 20:23:55, 50 ms (0%), 1808030 occupied, 23191893 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_694. e_694: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q75,q9,q7,q3,p8,p7) is replaced by e_690: 5 terms, 10 factors, with derivatives of functions of all variables: (q78,q75,q7,q6,q3,p8,p7) 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 726 31-Oct-2003 20:23:57, 50 ms (0%), 1806320 occupied, 23193603 free *** Garbage collection starting *** GC 727 31-Oct-2003 20:23:58, 50 ms (0%), 1806576 occupied, 23193347 free *** Garbage collection starting *** GC 728 31-Oct-2003 20:23:59, 60 ms (0%), 1807590 occupied, 23192333 free *** Garbage collection starting *** GC 729 31-Oct-2003 20:24:00, 60 ms (0%), 1808236 occupied, 23191687 free *** Garbage collection starting *** GC 730 31-Oct-2003 20:24:01, 50 ms (0%), 1808772 occupied, 23191151 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1068. e_1068: 6 terms, 12 factors, with derivatives of functions of all variables: (q70,q67,q45,q43,q29,q28,p8,p7) is replaced by e_1549: 6 terms, 12 factors, with derivatives of functions of all variables: (q70,q67,q45,q29,q28,q1,p8,p7) 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 731 31-Oct-2003 20:24:03, 50 ms (0%), 1807524 occupied, 23192399 free *** Garbage collection starting *** GC 732 31-Oct-2003 20:24:04, 50 ms (0%), 1808900 occupied, 23191023 free *** Garbage collection starting *** GC 733 31-Oct-2003 20:24:05, 50 ms (0%), 1809666 occupied, 23190257 free *** Garbage collection starting *** GC 734 31-Oct-2003 20:24:06, 50 ms (0%), 1810062 occupied, 23189861 free *** Garbage collection starting *** GC 735 31-Oct-2003 20:24:07, 60 ms (0%), 1810182 occupied, 23189741 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q82 from e_986 and e_1000. e_1000: 5 terms, 10 factors, with derivatives of functions of all variables: (q82,q74,q71,q44,q2,p8,p7,p5) is replaced by e_1550: 5 terms, 10 factors, with derivatives of functions of all variables: (q74,q71,q44,q28,q2,p8,p7) Step 1074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 736 31-Oct-2003 20:24:08, 60 ms (0%), 1807244 occupied, 23192678 free *** Garbage collection starting *** GC 737 31-Oct-2003 20:24:09, 50 ms (0%), 1807512 occupied, 23192410 free *** Garbage collection starting *** GC 738 31-Oct-2003 20:24:10, 50 ms (0%), 1807750 occupied, 23192172 free *** Garbage collection starting *** GC 739 31-Oct-2003 20:24:11, 50 ms (0%), 1808016 occupied, 23191906 free *** Garbage collection starting *** GC 740 31-Oct-2003 20:24:12, 60 ms (0%), 1808084 occupied, 23191838 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_1550 and e_1425. e_1425: 5 terms, 10 factors, with derivatives of functions of all variables: (q74,q72,q71,q44,q28,p8,p7) is replaced by e_769: 5 terms, 10 factors, with derivatives of functions of all variables: (q72,q71,q44,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 741 31-Oct-2003 20:24:14, 60 ms (0%), 1806282 occupied, 23193641 free *** Garbage collection starting *** GC 742 31-Oct-2003 20:24:14, 60 ms (0%), 1807354 occupied, 23192569 free *** Garbage collection starting *** GC 743 31-Oct-2003 20:24:15, 50 ms (0%), 1808136 occupied, 23191787 free *** Garbage collection starting *** GC 744 31-Oct-2003 20:24:16, 60 ms (0%), 1808560 occupied, 23191363 free *** Garbage collection starting *** GC 745 31-Oct-2003 20:24:17, 60 ms (0%), 1809066 occupied, 23190857 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q72 from e_769 and e_922. e_922: 5 terms, 10 factors, with derivatives of functions of all variables: (q73,q72,q71,q44,q28,p8,p7) is replaced by e_1546: 5 terms, 10 factors, with derivatives of functions of all variables: (q73,q71,q44,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 746 31-Oct-2003 20:24:19, 60 ms (0%), 1807624 occupied, 23192298 free *** Garbage collection starting *** GC 747 31-Oct-2003 20:24:19, 50 ms (0%), 1808460 occupied, 23191462 free *** Garbage collection starting *** GC 748 31-Oct-2003 20:24:20, 60 ms (0%), 1808788 occupied, 23191134 free *** Garbage collection starting *** GC 749 31-Oct-2003 20:24:21, 50 ms (0%), 1808914 occupied, 23191008 free *** Garbage collection starting *** GC 750 31-Oct-2003 20:24:22, 50 ms (0%), 1809154 occupied, 23190768 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1383 and e_1255. e_1255: 6 terms, 12 factors, with derivatives of functions of all variables: (q54,q50,q41,q26,q24,q8,p8,p7) is replaced by e_1258: 0=(q22 - q50)*p7 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 : *** Garbage collection starting *** GC 751 31-Oct-2003 20:24:24, 60 ms (0%), 1807972 occupied, 23191951 free *** Garbage collection starting *** GC 752 31-Oct-2003 20:24:25, 60 ms (0%), 1808300 occupied, 23191623 free *** Garbage collection starting *** GC 753 31-Oct-2003 20:24:26, 70 ms (0%), 1808520 occupied, 23191403 free *** Garbage collection starting *** GC 754 31-Oct-2003 20:24:27, 50 ms (0%), 1808628 occupied, 23191295 free *** Garbage collection starting *** GC 755 31-Oct-2003 20:24:28, 60 ms (0%), 1809176 occupied, 23190747 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1274. e_1274: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q56,q50,q9,p8,p7) is replaced by e_926: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q56,q22,q9,p8,p7) 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 756 31-Oct-2003 20:24:29, 60 ms (0%), 1806816 occupied, 23193107 free *** Garbage collection starting *** GC 757 31-Oct-2003 20:24:30, 60 ms (0%), 1807920 occupied, 23192003 free *** Garbage collection starting *** GC 758 31-Oct-2003 20:24:31, 50 ms (0%), 1808484 occupied, 23191439 free *** Garbage collection starting *** GC 759 31-Oct-2003 20:24:32, 60 ms (0%), 1809020 occupied, 23190903 free *** Garbage collection starting *** GC 760 31-Oct-2003 20:24:33, 50 ms (0%), 1809320 occupied, 23190603 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 761 31-Oct-2003 20:24:36, 70 ms (0%), 1893501 occupied, 23106316 free *** Garbage collection starting *** GC 762 31-Oct-2003 20:24:39, 60 ms (0%), 1882926 occupied, 23116900 free Eliminate q47 from e_1506 and e_1501. e_1501: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q59,q58,q48,q47,q26,q24,q23,q22,q8,p8,p7) is replaced by e_950: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q59,q58,q48,q26,q24,q23,q8,p8,p7) 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 763 31-Oct-2003 20:24:41, 50 ms (0%), 1807400 occupied, 23192523 free *** Garbage collection starting *** GC 764 31-Oct-2003 20:24:42, 50 ms (0%), 1808528 occupied, 23191394 free *** Garbage collection starting *** GC 765 31-Oct-2003 20:24:43, 60 ms (0%), 1809236 occupied, 23190686 free *** Garbage collection starting *** GC 766 31-Oct-2003 20:24:44, 60 ms (0%), 1809454 occupied, 23190468 free *** Garbage collection starting *** GC 767 31-Oct-2003 20:24:45, 60 ms (0%), 1809690 occupied, 23190231 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1332. e_1332: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q64,q59,q58,q54,q48,q47,q38,q24,q22,p8,p7) is replaced by e_541: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q64,q59,q58,q54,q48,q38,q24,p8,p7) 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 768 31-Oct-2003 20:24:46, 60 ms (0%), 1807594 occupied, 23192328 free *** Garbage collection starting *** GC 769 31-Oct-2003 20:24:47, 50 ms (0%), 1807898 occupied, 23192024 free *** Garbage collection starting *** GC 770 31-Oct-2003 20:24:48, 60 ms (0%), 1808112 occupied, 23191810 free *** Garbage collection starting *** GC 771 31-Oct-2003 20:24:49, 60 ms (0%), 1808320 occupied, 23191602 free *** Garbage collection starting *** GC 772 31-Oct-2003 20:24:50, 50 ms (0%), 1808988 occupied, 23190934 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1422 and e_541. e_541: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q64,q59,q58,q54,q48,q38,q24,p8,p7) is replaced by e_961: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q54,q48,q38,p8,p7) 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 773 31-Oct-2003 20:24:51, 60 ms (0%), 1807178 occupied, 23192744 free *** Garbage collection starting *** GC 774 31-Oct-2003 20:24:52, 60 ms (0%), 1808116 occupied, 23191806 free *** Garbage collection starting *** GC 775 31-Oct-2003 20:24:53, 50 ms (0%), 1808852 occupied, 23191070 free *** Garbage collection starting *** GC 776 31-Oct-2003 20:24:54, 50 ms (0%), 1809532 occupied, 23190390 free *** Garbage collection starting *** GC 777 31-Oct-2003 20:24:54, 60 ms (0%), 1809734 occupied, 23190188 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q64 from e_961 and e_727. e_961: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q54,q48,q38,p8,p7) is replaced by e_1418: 0=(2*q38 - q54 - q8)*p7 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 : *** Garbage collection starting *** GC 778 31-Oct-2003 20:24:57, 50 ms (0%), 1808174 occupied, 23191749 free *** Garbage collection starting *** GC 779 31-Oct-2003 20:24:57, 50 ms (0%), 1809062 occupied, 23190861 free *** Garbage collection starting *** GC 780 31-Oct-2003 20:24:58, 50 ms (0%), 1809284 occupied, 23190639 free *** Garbage collection starting *** GC 781 31-Oct-2003 20:24:59, 50 ms (0%), 1809416 occupied, 23190507 free *** Garbage collection starting *** GC 782 31-Oct-2003 20:25:00, 50 ms (0%), 1809572 occupied, 23190351 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1449. e_1449: 7 terms, 14 factors, with derivatives of functions of all variables: (q54,q48,q41,q38,q26,q23,q8,p8,p7) is replaced by e_1296: 5 terms, 10 factors, with derivatives of functions of all variables: (q48,q41,q38,q26,q23,p8,p7) 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 : *** Garbage collection starting *** GC 783 31-Oct-2003 20:25:02, 60 ms (0%), 1807632 occupied, 23192290 free *** Garbage collection starting *** GC 784 31-Oct-2003 20:25:03, 50 ms (0%), 1807928 occupied, 23191994 free *** Garbage collection starting *** GC 785 31-Oct-2003 20:25:04, 50 ms (0%), 1808238 occupied, 23191684 free *** Garbage collection starting *** GC 786 31-Oct-2003 20:25:05, 50 ms (0%), 1808478 occupied, 23191444 free *** Garbage collection starting *** GC 787 31-Oct-2003 20:25:06, 50 ms (0%), 1808638 occupied, 23191284 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_727. e_727: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q54,q48,q8,p8,p7) is replaced by e_1164: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q48,q38,q8,p8,p7) 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 : *** Garbage collection starting *** GC 788 31-Oct-2003 20:25:08, 60 ms (0%), 1807284 occupied, 23192639 free *** Garbage collection starting *** GC 789 31-Oct-2003 20:25:09, 50 ms (0%), 1807882 occupied, 23192041 free *** Garbage collection starting *** GC 790 31-Oct-2003 20:25:10, 50 ms (0%), 1808842 occupied, 23191081 free *** Garbage collection starting *** GC 791 31-Oct-2003 20:25:10, 60 ms (0%), 1809572 occupied, 23190351 free *** Garbage collection starting *** GC 792 31-Oct-2003 20:25:11, 60 ms (0%), 1810110 occupied, 23189813 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1383. e_1383: 6 terms, 12 factors, with derivatives of functions of all variables: (q54,q41,q26,q24,q22,q8,p8,p7) is replaced by e_804: 5 terms, 10 factors, with derivatives of functions of all variables: (q41,q38,q26,q24,q22,p8,p7) 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 : *** Garbage collection starting *** GC 793 31-Oct-2003 20:25:13, 60 ms (0%), 1807492 occupied, 23192431 free *** Garbage collection starting *** GC 794 31-Oct-2003 20:25:14, 60 ms (0%), 1809174 occupied, 23190749 free *** Garbage collection starting *** GC 795 31-Oct-2003 20:25:15, 50 ms (0%), 1809972 occupied, 23189951 free *** Garbage collection starting *** GC 796 31-Oct-2003 20:25:16, 60 ms (0%), 1810354 occupied, 23189569 free *** Garbage collection starting *** GC 797 31-Oct-2003 20:25:17, 60 ms (0%), 1810468 occupied, 23189455 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1456. e_1456: 10 terms, 20 factors, with derivatives of functions of all variables: (q70,q55,q54,q50,q47,q43,q38,q36,q9,q8,p7,p5) is replaced by e_1328: 7 terms, 14 factors, with derivatives of functions of all variables: (q70,q55,q50,q47,q43,q36,q9,p7,p5) 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 : *** Garbage collection starting *** GC 798 31-Oct-2003 20:25:19, 60 ms (0%), 1808346 occupied, 23191577 free *** Garbage collection starting *** GC 799 31-Oct-2003 20:25:20, 60 ms (0%), 1808646 occupied, 23191277 free *** Garbage collection starting *** GC 800 31-Oct-2003 20:25:21, 50 ms (0%), 1809366 occupied, 23190557 free *** Garbage collection starting *** GC 801 31-Oct-2003 20:25:22, 60 ms (0%), 1810404 occupied, 23189519 free *** Garbage collection starting *** GC 802 31-Oct-2003 20:25:23, 60 ms (0%), 1810626 occupied, 23189297 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 803 31-Oct-2003 20:25:26, 60 ms (0%), 1825510 occupied, 23174396 free *** Garbage collection starting *** GC 804 31-Oct-2003 20:25:29, 70 ms (0%), 1841600 occupied, 23158292 free *** Garbage collection starting *** GC 805 31-Oct-2003 20:25:31, 50 ms (0%), 1856060 occupied, 23143816 free *** Garbage collection starting *** GC 806 31-Oct-2003 20:25:34, 60 ms (0%), 1870775 occupied, 23129057 free Eliminate q50 from e_1258 and e_1328. e_1328: 7 terms, 14 factors, with derivatives of functions of all variables: (q70,q55,q50,q47,q43,q36,q9,p7,p5) is replaced by e_1243: 7 terms, 14 factors, with derivatives of functions of all variables: (q70,q55,q47,q43,q36,q22,q9,p7,p5) 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 : *** Garbage collection starting *** GC 807 31-Oct-2003 20:25:36, 50 ms (0%), 1808714 occupied, 23191209 free *** Garbage collection starting *** GC 808 31-Oct-2003 20:25:37, 60 ms (0%), 1809020 occupied, 23190903 free *** Garbage collection starting *** GC 809 31-Oct-2003 20:25:38, 50 ms (0%), 1809366 occupied, 23190557 free *** Garbage collection starting *** GC 810 31-Oct-2003 20:25:39, 60 ms (0%), 1809658 occupied, 23190265 free *** Garbage collection starting *** GC 811 31-Oct-2003 20:25:40, 50 ms (0%), 1809920 occupied, 23190003 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1243. e_1243: 7 terms, 14 factors, with derivatives of functions of all variables: (q70,q55,q47,q43,q36,q22,q9,p7,p5) is replaced by e_1239: 5 terms, 10 factors, with derivatives of functions of all variables: (q70,q55,q43,q36,q9,p7,p5) 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 3 terms Step 1091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 812 31-Oct-2003 20:25:41, 60 ms (0%), 1808236 occupied, 23191688 free *** Garbage collection starting *** GC 813 31-Oct-2003 20:25:42, 50 ms (0%), 1808528 occupied, 23191396 free *** Garbage collection starting *** GC 814 31-Oct-2003 20:25:43, 50 ms (0%), 1808796 occupied, 23191128 free *** Garbage collection starting *** GC 815 31-Oct-2003 20:25:44, 50 ms (0%), 1808992 occupied, 23190932 free *** Garbage collection starting *** GC 816 31-Oct-2003 20:25:45, 60 ms (0%), 1809126 occupied, 23190798 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1442. e_1442: 7 terms, 14 factors, with derivatives of functions of all variables: (q62,q58,q53,q47,q42,q27,q8,p8,p7) is replaced by e_996: 7 terms, 14 factors, with derivatives of functions of all variables: (q62,q58,q53,q42,q27,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 817 31-Oct-2003 20:25:47, 50 ms (0%), 1808938 occupied, 23190986 free *** Garbage collection starting *** GC 818 31-Oct-2003 20:25:48, 50 ms (0%), 1809828 occupied, 23190096 free *** Garbage collection starting *** GC 819 31-Oct-2003 20:25:49, 50 ms (0%), 1810534 occupied, 23189390 free *** Garbage collection starting *** GC 820 31-Oct-2003 20:25:50, 60 ms (0%), 1810852 occupied, 23189072 free *** Garbage collection starting *** GC 821 31-Oct-2003 20:25:50, 50 ms (0%), 1811348 occupied, 23188576 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1155. e_1155: 7 terms, 14 factors, with derivatives of functions of all variables: (q54,q41,q27,q26,q23,q22,q8,p8,p7) is replaced by e_1315: 6 terms, 12 factors, with derivatives of functions of all variables: (q41,q38,q27,q26,q23,q22,p8,p7) 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 822 31-Oct-2003 20:25:53, 50 ms (0%), 1808804 occupied, 23191120 free *** Garbage collection starting *** GC 823 31-Oct-2003 20:25:54, 60 ms (0%), 1810006 occupied, 23189918 free *** Garbage collection starting *** GC 824 31-Oct-2003 20:25:55, 50 ms (0%), 1810970 occupied, 23188954 free *** Garbage collection starting *** GC 825 31-Oct-2003 20:25:56, 60 ms (0%), 1811570 occupied, 23188354 free *** Garbage collection starting *** GC 826 31-Oct-2003 20:25:57, 60 ms (0%), 1811828 occupied, 23188096 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_804 and e_1315. e_1315: 6 terms, 12 factors, with derivatives of functions of all variables: (q41,q38,q27,q26,q23,q22,p8,p7) is replaced by e_1111: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q24,q23,q22,p8,p7) 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 : *** Garbage collection starting *** GC 827 31-Oct-2003 20:25:59, 60 ms (0%), 1808344 occupied, 23191580 free *** Garbage collection starting *** GC 828 31-Oct-2003 20:26:00, 50 ms (0%), 1810036 occupied, 23189888 free *** Garbage collection starting *** GC 829 31-Oct-2003 20:26:01, 50 ms (0%), 1810344 occupied, 23189580 free *** Garbage collection starting *** GC 830 31-Oct-2003 20:26:01, 60 ms (0%), 1810630 occupied, 23189294 free *** Garbage collection starting *** GC 831 31-Oct-2003 20:26:02, 50 ms (0%), 1810900 occupied, 23189024 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1443. e_1443: 7 terms, 14 factors, with derivatives of functions of all variables: (q64,q58,q54,q48,q41,q26,q8,p8,p7) is replaced by e_1216: 6 terms, 12 factors, with derivatives of functions of all variables: (q64,q58,q48,q41,q38,q26,p8,p7) 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 832 31-Oct-2003 20:26:04, 50 ms (0%), 1809136 occupied, 23190788 free *** Garbage collection starting *** GC 833 31-Oct-2003 20:26:05, 50 ms (0%), 1809406 occupied, 23190518 free *** Garbage collection starting *** GC 834 31-Oct-2003 20:26:06, 60 ms (0%), 1809538 occupied, 23190386 free *** Garbage collection starting *** GC 835 31-Oct-2003 20:26:07, 50 ms (0%), 1810232 occupied, 23189692 free *** Garbage collection starting *** GC 836 31-Oct-2003 20:26:08, 50 ms (0%), 1811132 occupied, 23188792 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_1296 and e_1216. e_1216: 6 terms, 12 factors, with derivatives of functions of all variables: (q64,q58,q48,q41,q38,q26,p8,p7) is replaced by e_1347: 4 terms, 8 factors, with derivatives of functions of all variables: (q64,q58,q38,q23,p8,p7) 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 : *** Garbage collection starting *** GC 837 31-Oct-2003 20:26:10, 60 ms (0%), 1808580 occupied, 23191344 free *** Garbage collection starting *** GC 838 31-Oct-2003 20:26:11, 60 ms (0%), 1809868 occupied, 23190056 free *** Garbage collection starting *** GC 839 31-Oct-2003 20:26:12, 60 ms (0%), 1810804 occupied, 23189120 free *** Garbage collection starting *** GC 840 31-Oct-2003 20:26:13, 60 ms (0%), 1811230 occupied, 23188694 free *** Garbage collection starting *** GC 841 31-Oct-2003 20:26:14, 60 ms (0%), 1811618 occupied, 23188306 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1251 and e_1416. e_1416: 4 terms, 8 factors, with derivatives of functions of all variables: (q77,q76,q10,q6,p8,p7) is replaced by e_1333: 4 terms, 8 factors, with derivatives of functions of all variables: (q77,q76,q7,q3,p8,p7) e_1333 is a consequence of e_1363. 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 : *** Garbage collection starting *** GC 842 31-Oct-2003 20:26:16, 60 ms (0%), 1810046 occupied, 23189878 free *** Garbage collection starting *** GC 843 31-Oct-2003 20:26:17, 60 ms (0%), 1811090 occupied, 23188834 free *** Garbage collection starting *** GC 844 31-Oct-2003 20:26:18, 60 ms (0%), 1811344 occupied, 23188580 free *** Garbage collection starting *** GC 845 31-Oct-2003 20:26:19, 60 ms (0%), 1811508 occupied, 23188416 free *** Garbage collection starting *** GC 846 31-Oct-2003 20:26:20, 60 ms (0%), 1811758 occupied, 23188166 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_539 and e_1406. e_1406: 4 terms, 8 factors, with derivatives of functions of all variables: (q78,q75,q9,q5,p8,p7) is replaced by e_1351: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q5,q4,p8,p7) 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 : *** Garbage collection starting *** GC 847 31-Oct-2003 20:26:21, 60 ms (0%), 1808806 occupied, 23191118 free *** Garbage collection starting *** GC 848 31-Oct-2003 20:26:22, 60 ms (0%), 1808968 occupied, 23190956 free *** Garbage collection starting *** GC 849 31-Oct-2003 20:26:23, 60 ms (0%), 1809192 occupied, 23190732 free *** Garbage collection starting *** GC 850 31-Oct-2003 20:26:24, 50 ms (0%), 1809640 occupied, 23190284 free *** Garbage collection starting *** GC 851 31-Oct-2003 20:26:25, 50 ms (0%), 1810462 occupied, 23189462 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1351. e_1351: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q8,q5,q4,p8,p7) is replaced by e_1022: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q7,q5,q4,p8,p7) e_1022 is a consequence of e_1267. 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 : *** Garbage collection starting *** GC 852 31-Oct-2003 20:26:27, 60 ms (0%), 1809574 occupied, 23190350 free *** Garbage collection starting *** GC 853 31-Oct-2003 20:26:28, 60 ms (0%), 1810724 occupied, 23189200 free *** Garbage collection starting *** GC 854 31-Oct-2003 20:26:29, 50 ms (0%), 1811396 occupied, 23188528 free *** Garbage collection starting *** GC 855 31-Oct-2003 20:26:30, 50 ms (0%), 1811732 occupied, 23188192 free *** Garbage collection starting *** GC 856 31-Oct-2003 20:26:31, 50 ms (0%), 1812004 occupied, 23187920 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_1117 and e_1444. e_1444: 7 terms, 14 factors, with derivatives of functions of all variables: (q74,q72,q70,q69,q67,q52,q45,p8,p7) is replaced by e_1421: 6 terms, 12 factors, with derivatives of functions of all variables: (q70,q69,q67,q52,q45,q1,p8,p7) 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 : *** Garbage collection starting *** GC 857 31-Oct-2003 20:26:33, 60 ms (0%), 1810772 occupied, 23189152 free *** Garbage collection starting *** GC 858 31-Oct-2003 20:26:34, 60 ms (0%), 1811482 occupied, 23188442 free *** Garbage collection starting *** GC 859 31-Oct-2003 20:26:35, 60 ms (0%), 1811744 occupied, 23188180 free *** Garbage collection starting *** GC 860 31-Oct-2003 20:26:36, 60 ms (0%), 1812026 occupied, 23187898 free *** Garbage collection starting *** GC 861 31-Oct-2003 20:26:37, 50 ms (0%), 1812148 occupied, 23187776 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1429 and e_1439. e_1439: 7 terms, 14 factors, with derivatives of functions of all variables: (q77,q63,q58,q57,q42,q25,q10,p8,p7) is replaced by e_388: 6 terms, 12 factors, with derivatives of functions of all variables: (q63,q58,q42,q25,q10,q3,p8,p7) 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 : *** Garbage collection starting *** GC 862 31-Oct-2003 20:26:38, 50 ms (0%), 1809508 occupied, 23190416 free *** Garbage collection starting *** GC 863 31-Oct-2003 20:26:39, 60 ms (0%), 1810264 occupied, 23189660 free *** Garbage collection starting *** GC 864 31-Oct-2003 20:26:40, 60 ms (0%), 1811090 occupied, 23188834 free *** Garbage collection starting *** GC 865 31-Oct-2003 20:26:41, 60 ms (0%), 1811758 occupied, 23188166 free *** Garbage collection starting *** GC 866 31-Oct-2003 20:26:42, 50 ms (0%), 1812118 occupied, 23187806 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_993 and e_1363. e_1363: 4 terms, 8 factors, with derivatives of functions of all variables: (q77,q76,q7,q3,p8,p7) is replaced by e_1006: 4 terms, 8 factors, with derivatives of functions of all variables: (q77,q75,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 867 31-Oct-2003 20:26:44, 70 ms (0%), 1809610 occupied, 23190313 free *** Garbage collection starting *** GC 868 31-Oct-2003 20:26:45, 50 ms (0%), 1810974 occupied, 23188949 free *** Garbage collection starting *** GC 869 31-Oct-2003 20:26:46, 60 ms (0%), 1811420 occupied, 23188503 free *** Garbage collection starting *** GC 870 31-Oct-2003 20:26:47, 50 ms (0%), 1811736 occupied, 23188187 free *** Garbage collection starting *** GC 871 31-Oct-2003 20:26:48, 50 ms (0%), 1811870 occupied, 23188053 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_982. e_982: 7 terms, 14 factors, with derivatives of functions of all variables: (q73,q55,q47,q40,q27,q25,q9,p8,p7,p5) is replaced by e_1275: 7 terms, 14 factors, with derivatives of functions of all variables: (q73,q55,q40,q27,q25,q22,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 872 31-Oct-2003 20:26:51, 60 ms (0%), 1809840 occupied, 23190084 free *** Garbage collection starting *** GC 873 31-Oct-2003 20:26:52, 50 ms (0%), 1810160 occupied, 23189764 free *** Garbage collection starting *** GC 874 31-Oct-2003 20:26:53, 60 ms (0%), 1810454 occupied, 23189470 free *** Garbage collection starting *** GC 875 31-Oct-2003 20:26:54, 60 ms (0%), 1810706 occupied, 23189218 free *** Garbage collection starting *** GC 876 31-Oct-2003 20:26:55, 50 ms (0%), 1811318 occupied, 23188606 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 877 31-Oct-2003 20:26:58, 70 ms (0%), 1863191 occupied, 23136670 free *** Garbage collection starting *** GC 878 31-Oct-2003 20:27:01, 70 ms (0%), 1892348 occupied, 23107474 free *** Garbage collection starting *** GC 879 31-Oct-2003 20:27:04, 80 ms (0%), 1854483 occupied, 23145397 free Eliminate q64 from e_1164 and e_1012. e_1164: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q48,q38,q8,p8,p7) is replaced by e_1235: 5 terms, 10 factors, with derivatives of functions of all variables: (q48,q41,q38,q24,q8,p8,p7) 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 : *** Garbage collection starting *** GC 880 31-Oct-2003 20:27:06, 50 ms (0%), 1809410 occupied, 23190513 free *** Garbage collection starting *** GC 881 31-Oct-2003 20:27:07, 50 ms (0%), 1810452 occupied, 23189470 free *** Garbage collection starting *** GC 882 31-Oct-2003 20:27:08, 50 ms (0%), 1811314 occupied, 23188609 free *** Garbage collection starting *** GC 883 31-Oct-2003 20:27:09, 50 ms (0%), 1811862 occupied, 23188061 free *** Garbage collection starting *** GC 884 31-Oct-2003 20:27:10, 50 ms (0%), 1812216 occupied, 23187707 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_926 and e_1424. e_926: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q56,q22,q9,p8,p7) is replaced by e_934: 4 terms, 8 factors, with derivatives of functions of all variables: (q56,q53,q9,q8,p8,p7) Step 1105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 885 31-Oct-2003 20:27:13, 50 ms (0%), 1810062 occupied, 23189862 free *** Garbage collection starting *** GC 886 31-Oct-2003 20:27:14, 50 ms (0%), 1810352 occupied, 23189572 free *** Garbage collection starting *** GC 887 31-Oct-2003 20:27:15, 50 ms (0%), 1810482 occupied, 23189442 free *** Garbage collection starting *** GC 888 31-Oct-2003 20:27:16, 50 ms (0%), 1810626 occupied, 23189298 free *** Garbage collection starting *** GC 889 31-Oct-2003 20:27:17, 50 ms (0%), 1811308 occupied, 23188616 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1076. e_1076: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q54,q50,q41,q39,q24,q9,q4,p8,p7,p5) is replaced by e_734: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q54,q41,q39,q24,q22,q9,q4,p8,p7,p5) 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 : *** Garbage collection starting *** GC 890 31-Oct-2003 20:27:19, 60 ms (0%), 1810524 occupied, 23189400 free *** Garbage collection starting *** GC 891 31-Oct-2003 20:27:20, 60 ms (0%), 1810824 occupied, 23189100 free *** Garbage collection starting *** GC 892 31-Oct-2003 20:27:21, 60 ms (0%), 1811134 occupied, 23188790 free *** Garbage collection starting *** GC 893 31-Oct-2003 20:27:22, 50 ms (0%), 1812714 occupied, 23187210 free *** Garbage collection starting *** GC 894 31-Oct-2003 20:27:23, 50 ms (0%), 1812992 occupied, 23186932 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1102. e_1102: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q64,q58,q56,q50,q39,q24,q9,p8,p7,p5) is replaced by e_1241: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q64,q58,q56,q39,q24,q22,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 895 31-Oct-2003 20:27:25, 60 ms (0%), 1810566 occupied, 23189358 free *** Garbage collection starting *** GC 896 31-Oct-2003 20:27:26, 50 ms (0%), 1810884 occupied, 23189040 free *** Garbage collection starting *** GC 897 31-Oct-2003 20:27:27, 60 ms (0%), 1811196 occupied, 23188728 free *** Garbage collection starting *** GC 898 31-Oct-2003 20:27:28, 50 ms (0%), 1812710 occupied, 23187214 free *** Garbage collection starting *** GC 899 31-Oct-2003 20:27:29, 50 ms (0%), 1812894 occupied, 23187030 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 900 31-Oct-2003 20:27:32, 70 ms (0%), 1875202 occupied, 23124636 free *** Garbage collection starting *** GC 901 31-Oct-2003 20:27:35, 70 ms (0%), 1836767 occupied, 23163127 free *** Garbage collection starting *** GC 902 31-Oct-2003 20:27:38, 60 ms (0%), 1887018 occupied, 23112823 free *** Garbage collection starting *** GC 903 31-Oct-2003 20:27:41, 70 ms (0%), 1860771 occupied, 23139107 free Eliminate q76 from e_1420 and e_1381. e_1381: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q77,q76,q59,q57,q42,q39,q26,q25,p8,p7) is replaced by e_1206: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q77,q63,q59,q57,q42,q39,q26,q25,p8,p7) 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 : *** Garbage collection starting *** GC 904 31-Oct-2003 20:27:43, 60 ms (0%), 1810940 occupied, 23188984 free *** Garbage collection starting *** GC 905 31-Oct-2003 20:27:44, 50 ms (0%), 1811066 occupied, 23188857 free *** Garbage collection starting *** GC 906 31-Oct-2003 20:27:45, 50 ms (0%), 1811874 occupied, 23188050 free *** Garbage collection starting *** GC 907 31-Oct-2003 20:27:46, 50 ms (0%), 1812630 occupied, 23187294 free *** Garbage collection starting *** GC 908 31-Oct-2003 20:27:47, 50 ms (0%), 1813178 occupied, 23186746 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1295. e_1295: 12 terms, 24 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q57,q50,q49,q40,q36,q27,q22,q9,p8,p7,p5) is replaced by e_1010: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q57,q49,q40,q36,q27,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 909 31-Oct-2003 20:27:49, 50 ms (0%), 1811058 occupied, 23188866 free *** Garbage collection starting *** GC 910 31-Oct-2003 20:27:50, 50 ms (0%), 1811374 occupied, 23188550 free *** Garbage collection starting *** GC 911 31-Oct-2003 20:27:51, 60 ms (0%), 1811694 occupied, 23188230 free *** Garbage collection starting *** GC 912 31-Oct-2003 20:27:52, 60 ms (0%), 1812640 occupied, 23187284 free *** Garbage collection starting *** GC 913 31-Oct-2003 20:27:53, 50 ms (0%), 1813552 occupied, 23186372 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1293. e_1293: 12 terms, 24 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q55,q50,q40,q29,q27,q25,q22,q9,p8,p7,p5) is replaced by e_1234: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q55,q40,q29,q27,q25,q22,q9,p8,p7,p5) 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 914 31-Oct-2003 20:27:55, 60 ms (0%), 1811258 occupied, 23188664 free *** Garbage collection starting *** GC 915 31-Oct-2003 20:27:56, 60 ms (0%), 1811562 occupied, 23188360 free *** Garbage collection starting *** GC 916 31-Oct-2003 20:27:57, 60 ms (0%), 1811896 occupied, 23188026 free *** Garbage collection starting *** GC 917 31-Oct-2003 20:27:58, 50 ms (0%), 1813110 occupied, 23186812 free *** Garbage collection starting *** GC 918 31-Oct-2003 20:27:59, 50 ms (0%), 1813620 occupied, 23186302 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 919 31-Oct-2003 20:28:02, 80 ms (0%), 1882999 occupied, 23116827 free Eliminate q76 from e_1420 and e_1467. e_1467: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q76,q63,q57,q56,q49,q42,q28,q27,q25,q21,q7,p8,p7,p5) is replaced by e_1326: 9 terms, 18 factors, with derivatives of functions of all variables: (q80,q56,q49,q42,q28,q27,q25,q21,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 920 31-Oct-2003 20:28:03, 60 ms (0%), 1811306 occupied, 23188618 free *** Garbage collection starting *** GC 921 31-Oct-2003 20:28:04, 50 ms (0%), 1811626 occupied, 23188298 free *** Garbage collection starting *** GC 922 31-Oct-2003 20:28:05, 60 ms (0%), 1811940 occupied, 23187984 free *** Garbage collection starting *** GC 923 31-Oct-2003 20:28:07, 60 ms (0%), 1813284 occupied, 23186640 free *** Garbage collection starting *** GC 924 31-Oct-2003 20:28:08, 50 ms (0%), 1813626 occupied, 23186298 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1093. e_1093: 12 terms, 24 factors, with derivatives of functions of all variables: (q79,q77,q76,q71,q63,q57,q55,q49,q40,q25,q10,q7,p8,p7,p5) is replaced by e_962: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q77,q71,q57,q55,q49,q40,q25,q10,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 925 31-Oct-2003 20:28:10, 50 ms (0%), 1811292 occupied, 23188631 free *** Garbage collection starting *** GC 926 31-Oct-2003 20:28:11, 50 ms (0%), 1811608 occupied, 23188315 free *** Garbage collection starting *** GC 927 31-Oct-2003 20:28:12, 60 ms (0%), 1811926 occupied, 23187997 free *** Garbage collection starting *** GC 928 31-Oct-2003 20:28:13, 60 ms (0%), 1813018 occupied, 23186905 free *** Garbage collection starting *** GC 929 31-Oct-2003 20:28:14, 60 ms (0%), 1813318 occupied, 23186605 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q75 from e_1307 and e_1358. e_1358: 8 terms, 16 factors, with derivatives of functions of all variables: (q75,q72,q64,q63,q58,q41,q24,q9,p8,p7,p5) is replaced by e_953: 7 terms, 14 factors, with derivatives of functions of all variables: (q72,q63,q58,q41,q24,q9,q4,p8,p7,p5) 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 : *** Garbage collection starting *** GC 930 31-Oct-2003 20:28:16, 60 ms (0%), 1811418 occupied, 23188506 free *** Garbage collection starting *** GC 931 31-Oct-2003 20:28:17, 50 ms (0%), 1811730 occupied, 23188194 free *** Garbage collection starting *** GC 932 31-Oct-2003 20:28:18, 60 ms (0%), 1812048 occupied, 23187876 free *** Garbage collection starting *** GC 933 31-Oct-2003 20:28:19, 60 ms (0%), 1812380 occupied, 23187544 free *** Garbage collection starting *** GC 934 31-Oct-2003 20:28:20, 50 ms (0%), 1812854 occupied, 23187070 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_836 and e_14. e_14: 8 terms, 16 factors, with derivatives of functions of all variables: (q73,q62,q58,q55,q49,q40,q25,q9,p8,p7,p5) is replaced by e_1492: 8 terms, 16 factors, with derivatives of functions of all variables: (q73,q58,q57,q55,q49,q40,q25,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 935 31-Oct-2003 20:28:22, 60 ms (0%), 1811440 occupied, 23188484 free *** Garbage collection starting *** GC 936 31-Oct-2003 20:28:23, 60 ms (0%), 1811748 occupied, 23188176 free *** Garbage collection starting *** GC 937 31-Oct-2003 20:28:24, 60 ms (0%), 1812084 occupied, 23187840 free *** Garbage collection starting *** GC 938 31-Oct-2003 20:28:25, 50 ms (0%), 1812490 occupied, 23187434 free *** Garbage collection starting *** GC 939 31-Oct-2003 20:28:26, 60 ms (0%), 1812938 occupied, 23186986 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1429 and e_1206. e_1206: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q77,q63,q59,q57,q42,q39,q26,q25,p8,p7) is replaced by e_1495: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q63,q59,q57,q42,q39,q26,q25,q3,p8,p7) 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 : *** Garbage collection starting *** GC 940 31-Oct-2003 20:28:29, 70 ms (0%), 1811560 occupied, 23188364 free *** Garbage collection starting *** GC 941 31-Oct-2003 20:28:30, 60 ms (0%), 1812246 occupied, 23187678 free *** Garbage collection starting *** GC 942 31-Oct-2003 20:28:31, 60 ms (0%), 1812804 occupied, 23187120 free *** Garbage collection starting *** GC 943 31-Oct-2003 20:28:32, 60 ms (0%), 1813322 occupied, 23186602 free *** Garbage collection starting *** GC 944 31-Oct-2003 20:28:33, 50 ms (0%), 1813884 occupied, 23186040 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1426 and e_854. e_854: 8 terms, 16 factors, with derivatives of functions of all variables: (q77,q74,q63,q59,q58,q39,q26,q7,p8,p7,p5) is replaced by e_729: 7 terms, 14 factors, with derivatives of functions of all variables: (q74,q63,q58,q39,q26,q7,q6,p8,p7,p5) 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 : *** Garbage collection starting *** GC 945 31-Oct-2003 20:28:35, 50 ms (0%), 1811758 occupied, 23188166 free *** Garbage collection starting *** GC 946 31-Oct-2003 20:28:36, 50 ms (0%), 1812072 occupied, 23187852 free *** Garbage collection starting *** GC 947 31-Oct-2003 20:28:37, 60 ms (0%), 1812370 occupied, 23187554 free *** Garbage collection starting *** GC 948 31-Oct-2003 20:28:38, 50 ms (0%), 1813132 occupied, 23186792 free *** Garbage collection starting *** GC 949 31-Oct-2003 20:28:39, 50 ms (0%), 1814092 occupied, 23185832 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 950 31-Oct-2003 20:28:42, 50 ms (0%), 1819948 occupied, 23179967 free *** Garbage collection starting *** GC 951 31-Oct-2003 20:28:45, 60 ms (0%), 1833227 occupied, 23166679 free *** Garbage collection starting *** GC 952 31-Oct-2003 20:28:48, 60 ms (0%), 1839941 occupied, 23159950 free *** Garbage collection starting *** GC 953 31-Oct-2003 20:28:51, 60 ms (0%), 1849294 occupied, 23150580 free Eliminate q47 from e_1506 and e_1451. e_1451: 10 terms, 20 factors, with derivatives of functions of all variables: (q75,q62,q58,q55,q47,q42,q40,q27,q8,q5,p8,p7) is replaced by e_1494: 10 terms, 20 factors, with derivatives of functions of all variables: (q75,q62,q58,q55,q42,q40,q27,q22,q8,q5,p8,p7) Step 1119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 954 31-Oct-2003 20:28:54, 50 ms (0%), 1812116 occupied, 23187808 free *** Garbage collection starting *** GC 955 31-Oct-2003 20:28:55, 60 ms (0%), 1813006 occupied, 23186918 free *** Garbage collection starting *** GC 956 31-Oct-2003 20:28:56, 60 ms (0%), 1814232 occupied, 23185692 free *** Garbage collection starting *** GC 957 31-Oct-2003 20:28:57, 50 ms (0%), 1814622 occupied, 23185302 free *** Garbage collection starting *** GC 958 31-Oct-2003 20:28:58, 60 ms (0%), 1814932 occupied, 23184992 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1505. e_1505: 9 terms, 18 factors, with derivatives of functions of all variables: (q83,q70,q67,q66,q60,q51,q45,q43,q29,p8,p7,p5) is replaced by e_1484: 8 terms, 16 factors, with derivatives of functions of all variables: (q83,q70,q67,q66,q60,q51,q45,q1,p8,p7,p5) 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 : *** Garbage collection starting *** GC 959 31-Oct-2003 20:29:01, 70 ms (0%), 1812194 occupied, 23187730 free *** Garbage collection starting *** GC 960 31-Oct-2003 20:29:02, 60 ms (0%), 1812512 occupied, 23187412 free *** Garbage collection starting *** GC 961 31-Oct-2003 20:29:03, 60 ms (0%), 1812820 occupied, 23187104 free *** Garbage collection starting *** GC 962 31-Oct-2003 20:29:04, 60 ms (0%), 1813130 occupied, 23186794 free *** Garbage collection starting *** GC 963 31-Oct-2003 20:29:05, 50 ms (0%), 1814654 occupied, 23185270 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q83 from e_1008 and e_1484. e_1484: 8 terms, 16 factors, with derivatives of functions of all variables: (q83,q70,q67,q66,q60,q51,q45,q1,p8,p7,p5) is replaced by e_1393: 8 terms, 16 factors, with derivatives of functions of all variables: (q70,q67,q66,q65,q60,q51,q45,q1,p8,p7) 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 : *** Garbage collection starting *** GC 964 31-Oct-2003 20:29:06, 60 ms (0%), 1813540 occupied, 23186384 free *** Garbage collection starting *** GC 965 31-Oct-2003 20:29:08, 50 ms (0%), 1814332 occupied, 23185591 free *** Garbage collection starting *** GC 966 31-Oct-2003 20:29:09, 60 ms (0%), 1814618 occupied, 23185305 free *** Garbage collection starting *** GC 967 31-Oct-2003 20:29:10, 60 ms (0%), 1814774 occupied, 23185149 free *** Garbage collection starting *** GC 968 31-Oct-2003 20:29:11, 50 ms (0%), 1815084 occupied, 23184839 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1452. e_1452: 10 terms, 20 factors, with derivatives of functions of all variables: (q73,q70,q69,q67,q66,q61,q52,q45,q43,q29,p8,p7) is replaced by e_1053: 10 terms, 20 factors, with derivatives of functions of all variables: (q73,q70,q69,q67,q66,q61,q52,q45,q29,q1,p8,p7) 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 3 terms 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 : *** Garbage collection starting *** GC 969 31-Oct-2003 20:29:12, 60 ms (0%), 1811842 occupied, 23188082 free *** Garbage collection starting *** GC 970 31-Oct-2003 20:29:13, 60 ms (0%), 1811968 occupied, 23187956 free *** Garbage collection starting *** GC 971 31-Oct-2003 20:29:14, 50 ms (0%), 1812308 occupied, 23187616 free *** Garbage collection starting *** GC 972 31-Oct-2003 20:29:15, 60 ms (0%), 1813082 occupied, 23186841 free *** Garbage collection starting *** GC 973 31-Oct-2003 20:29:17, 60 ms (0%), 1813756 occupied, 23186168 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1494. e_1494: 10 terms, 20 factors, with derivatives of functions of all variables: (q75,q62,q58,q55,q42,q40,q27,q22,q8,q5,p8,p7) is replaced by e_952: 9 terms, 18 factors, with derivatives of functions of all variables: (q75,q62,q58,q55,q42,q40,q27,q22,q7,p8,p7) 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 : *** Garbage collection starting *** GC 974 31-Oct-2003 20:29:18, 60 ms (0%), 1812608 occupied, 23187316 free *** Garbage collection starting *** GC 975 31-Oct-2003 20:29:19, 60 ms (0%), 1814036 occupied, 23185888 free *** Garbage collection starting *** GC 976 31-Oct-2003 20:29:20, 50 ms (0%), 1814638 occupied, 23185286 free *** Garbage collection starting *** GC 977 31-Oct-2003 20:29:21, 60 ms (0%), 1815216 occupied, 23184708 free *** Garbage collection starting *** GC 978 31-Oct-2003 20:29:22, 60 ms (0%), 1815418 occupied, 23184506 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q69 from e_1556 and e_1453. e_1453: 10 terms, 20 factors, with derivatives of functions of all variables: (q71,q69,q68,q67,q66,q61,q51,q46,q44,q28,p8,p7) is replaced by e_1478: 10 terms, 20 factors, with derivatives of functions of all variables: (q71,q68,q67,q66,q61,q51,q46,q44,q43,q28,p8,p7) 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 : *** Garbage collection starting *** GC 979 31-Oct-2003 20:29:24, 60 ms (0%), 1814072 occupied, 23185852 free *** Garbage collection starting *** GC 980 31-Oct-2003 20:29:25, 60 ms (0%), 1814712 occupied, 23185212 free *** Garbage collection starting *** GC 981 31-Oct-2003 20:29:26, 60 ms (0%), 1814918 occupied, 23185006 free *** Garbage collection starting *** GC 982 31-Oct-2003 20:29:28, 60 ms (0%), 1815218 occupied, 23184706 free *** Garbage collection starting *** GC 983 31-Oct-2003 20:29:29, 50 ms (0%), 1815382 occupied, 23184542 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_1550 and e_1151. e_1151: 10 terms, 20 factors, with derivatives of functions of all variables: (q74,q71,q69,q68,q65,q61,q52,q46,q44,q28,p8,p7) is replaced by e_1488: 7 terms, 14 factors, with derivatives of functions of all variables: (q69,q68,q65,q61,q52,q46,q2,p8,p7) 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 : *** Garbage collection starting *** GC 984 31-Oct-2003 20:29:30, 60 ms (0%), 1812772 occupied, 23187151 free *** Garbage collection starting *** GC 985 31-Oct-2003 20:29:31, 60 ms (0%), 1813574 occupied, 23186349 free *** Garbage collection starting *** GC 986 31-Oct-2003 20:29:32, 60 ms (0%), 1814404 occupied, 23185518 free *** Garbage collection starting *** GC 987 31-Oct-2003 20:29:33, 60 ms (0%), 1814972 occupied, 23184950 free *** Garbage collection starting *** GC 988 31-Oct-2003 20:29:34, 60 ms (0%), 1815530 occupied, 23184392 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q69 from e_1101 and e_1488. e_1101: 6 terms, 12 factors, with derivatives of functions of all variables: (q69,q68,q66,q61,q52,q46,p8,p7) is replaced by e_618: 6 terms, 12 factors, with derivatives of functions of all variables: (q68,q66,q65,q61,q46,q2,p8,p7) 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 : *** Garbage collection starting *** GC 989 31-Oct-2003 20:29:36, 60 ms (0%), 1813980 occupied, 23185944 free *** Garbage collection starting *** GC 990 31-Oct-2003 20:29:37, 50 ms (0%), 1815116 occupied, 23184808 free *** Garbage collection starting *** GC 991 31-Oct-2003 20:29:38, 50 ms (0%), 1815652 occupied, 23184272 free *** Garbage collection starting *** GC 992 31-Oct-2003 20:29:39, 50 ms (0%), 1815762 occupied, 23184162 free *** Garbage collection starting *** GC 993 31-Oct-2003 20:29:40, 60 ms (0%), 1815916 occupied, 23184008 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q68 from e_618 and e_1488. e_1488: 7 terms, 14 factors, with derivatives of functions of all variables: (q69,q68,q65,q61,q52,q46,q2,p8,p7) is replaced by e_848: 7 terms, 14 factors, with derivatives of functions of all variables: (q69,q66,q65,q61,q52,q46,q2,p8,p7) 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 : *** Garbage collection starting *** GC 994 31-Oct-2003 20:29:42, 60 ms (0%), 1813266 occupied, 23186657 free *** Garbage collection starting *** GC 995 31-Oct-2003 20:29:43, 50 ms (0%), 1813556 occupied, 23186367 free *** Garbage collection starting *** GC 996 31-Oct-2003 20:29:44, 50 ms (0%), 1813652 occupied, 23186271 free *** Garbage collection starting *** GC 997 31-Oct-2003 20:29:45, 60 ms (0%), 1813868 occupied, 23186055 free *** Garbage collection starting *** GC 998 31-Oct-2003 20:29:46, 50 ms (0%), 1814482 occupied, 23185440 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 999 31-Oct-2003 20:29:49, 70 ms (0%), 1841484 occupied, 23158410 free *** Garbage collection starting *** GC 1000 31-Oct-2003 20:29:52, 60 ms (0%), 1860285 occupied, 23139595 free *** Garbage collection starting *** GC 1001 31-Oct-2003 20:29:55, 60 ms (0%), 1877273 occupied, 23122565 free *** Garbage collection starting *** GC 1002 31-Oct-2003 20:29:58, 70 ms (0%), 1889639 occupied, 23110169 free Eliminate q50 from e_1258 and e_1474. e_1474: 14 terms, 28 factors, with derivatives of functions of all variables: (q66,q56,q53,q52,q50,q47,q42,q39,q37,q27,q24,q22,q10,q7,p8,p7,p5) is replaced by e_1388: 13 terms, 26 factors, with derivatives of functions of all variables: (q66,q56,q53,q52,q47,q42,q39,q37,q27,q24,q22,q10,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1003 31-Oct-2003 20:30:00, 50 ms (0%), 1813894 occupied, 23186030 free *** Garbage collection starting *** GC 1004 31-Oct-2003 20:30:01, 50 ms (0%), 1814210 occupied, 23185714 free *** Garbage collection starting *** GC 1005 31-Oct-2003 20:30:02, 60 ms (0%), 1814526 occupied, 23185398 free *** Garbage collection starting *** GC 1006 31-Oct-2003 20:30:03, 60 ms (0%), 1815032 occupied, 23184892 free *** Garbage collection starting *** GC 1007 31-Oct-2003 20:30:04, 50 ms (0%), 1815594 occupied, 23184330 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1388. e_1388: 13 terms, 26 factors, with derivatives of functions of all variables: (q66,q56,q53,q52,q47,q42,q39,q37,q27,q24,q22,q10,q7,p8,p7,p5) is replaced by e_1364: 12 terms, 24 factors, with derivatives of functions of all variables: (q66,q56,q53,q52,q42,q39,q37,q27,q24,q22,q10,q7,p8,p7,p5) 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 1008 31-Oct-2003 20:30:07, 50 ms (0%), 1813892 occupied, 23186032 free *** Garbage collection starting *** GC 1009 31-Oct-2003 20:30:08, 60 ms (0%), 1814206 occupied, 23185718 free *** Garbage collection starting *** GC 1010 31-Oct-2003 20:30:09, 50 ms (0%), 1814522 occupied, 23185402 free *** Garbage collection starting *** GC 1011 31-Oct-2003 20:30:10, 60 ms (0%), 1815270 occupied, 23184654 free *** Garbage collection starting *** GC 1012 31-Oct-2003 20:30:11, 50 ms (0%), 1815866 occupied, 23184058 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1013 31-Oct-2003 20:30:14, 60 ms (0%), 1852276 occupied, 23147605 free Eliminate q54 from e_1418 and e_1472. e_1472: 14 terms, 28 factors, with derivatives of functions of all variables: (q78,q64,q58,q54,q47,q43,q41,q39,q38,q29,q24,q10,q8,q4,p8,p7,p5) is replaced by e_1380: 13 terms, 26 factors, with derivatives of functions of all variables: (q78,q64,q58,q47,q43,q41,q39,q38,q29,q24,q10,q8,q4,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1014 31-Oct-2003 20:30:17, 80 ms (0%), 1814188 occupied, 23185735 free *** Garbage collection starting *** GC 1015 31-Oct-2003 20:30:18, 60 ms (0%), 1814488 occupied, 23185436 free *** Garbage collection starting *** GC 1016 31-Oct-2003 20:30:19, 50 ms (0%), 1814824 occupied, 23185099 free *** Garbage collection starting *** GC 1017 31-Oct-2003 20:30:20, 60 ms (0%), 1815852 occupied, 23184071 free *** Garbage collection starting *** GC 1018 31-Oct-2003 20:30:21, 60 ms (0%), 1816420 occupied, 23183503 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1422 and e_1380. e_1380: 13 terms, 26 factors, with derivatives of functions of all variables: (q78,q64,q58,q47,q43,q41,q39,q38,q29,q24,q10,q8,q4,p8,p7,p5) is replaced by e_1461: 10 terms, 20 factors, with derivatives of functions of all variables: (q47,q43,q41,q39,q38,q29,q24,q10,q8,q4,p8,p7,p5) 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 1019 31-Oct-2003 20:30:24, 60 ms (0%), 1814020 occupied, 23185902 free *** Garbage collection starting *** GC 1020 31-Oct-2003 20:30:25, 60 ms (0%), 1814344 occupied, 23185578 free *** Garbage collection starting *** GC 1021 31-Oct-2003 20:30:27, 50 ms (0%), 1814670 occupied, 23185252 free *** Garbage collection starting *** GC 1022 31-Oct-2003 20:30:28, 60 ms (0%), 1815512 occupied, 23184410 free *** Garbage collection starting *** GC 1023 31-Oct-2003 20:30:29, 50 ms (0%), 1816388 occupied, 23183534 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1476. e_1476: 14 terms, 28 factors, with derivatives of functions of all variables: (q80,q76,q63,q57,q56,q49,q44,q42,q40,q37,q25,q9,q7,q3,p8,p7,p5) is replaced by e_1465: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q56,q49,q44,q42,q40,q37,q25,q9,q7,q3,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1024 31-Oct-2003 20:30:32, 60 ms (0%), 1814068 occupied, 23185855 free *** Garbage collection starting *** GC 1025 31-Oct-2003 20:30:33, 60 ms (0%), 1814392 occupied, 23185531 free *** Garbage collection starting *** GC 1026 31-Oct-2003 20:30:34, 60 ms (0%), 1814708 occupied, 23185215 free *** Garbage collection starting *** GC 1027 31-Oct-2003 20:30:35, 60 ms (0%), 1815006 occupied, 23184917 free *** Garbage collection starting *** GC 1028 31-Oct-2003 20:30:36, 60 ms (0%), 1816274 occupied, 23183649 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1114. e_1114: 14 terms, 28 factors, with derivatives of functions of all variables: (q80,q76,q68,q63,q62,q57,q56,q55,q49,q42,q37,q25,q21,q7,p8,p7,p5) is replaced by e_1084: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q68,q62,q57,q56,q55,q49,q42,q37,q25,q21,q7,p8,p7,p5) 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 1029 31-Oct-2003 20:30:39, 60 ms (0%), 1814140 occupied, 23185783 free *** Garbage collection starting *** GC 1030 31-Oct-2003 20:30:40, 50 ms (0%), 1814466 occupied, 23185457 free *** Garbage collection starting *** GC 1031 31-Oct-2003 20:30:41, 60 ms (0%), 1814776 occupied, 23185147 free *** Garbage collection starting *** GC 1032 31-Oct-2003 20:30:42, 60 ms (0%), 1815120 occupied, 23184803 free *** Garbage collection starting *** GC 1033 31-Oct-2003 20:30:43, 60 ms (0%), 1816398 occupied, 23183525 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1006 and e_1362. e_1362: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q79,q77,q75,q68,q51,p8,p7,p5) is replaced by e_1222: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q79,q68,q51,q6,q3,p8,p7,p5) 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 1034 31-Oct-2003 20:30:46, 60 ms (0%), 1814050 occupied, 23185873 free *** Garbage collection starting *** GC 1035 31-Oct-2003 20:30:47, 50 ms (0%), 1814382 occupied, 23185541 free *** Garbage collection starting *** GC 1036 31-Oct-2003 20:30:48, 60 ms (0%), 1814710 occupied, 23185213 free *** Garbage collection starting *** GC 1037 31-Oct-2003 20:30:49, 50 ms (0%), 1815028 occupied, 23184895 free *** Garbage collection starting *** GC 1038 31-Oct-2003 20:30:50, 60 ms (0%), 1816132 occupied, 23183791 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1222. e_1222: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q79,q68,q51,q6,q3,p8,p7,p5) is replaced by e_1498: 5 terms, 10 factors, with derivatives of functions of all variables: (q80,q68,q51,q7,q3,p8,p7,p5) 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 1039 31-Oct-2003 20:30:53, 50 ms (0%), 1813598 occupied, 23186324 free *** Garbage collection starting *** GC 1040 31-Oct-2003 20:30:54, 60 ms (0%), 1813922 occupied, 23186000 free *** Garbage collection starting *** GC 1041 31-Oct-2003 20:30:55, 60 ms (0%), 1814240 occupied, 23185682 free *** Garbage collection starting *** GC 1042 31-Oct-2003 20:30:56, 60 ms (0%), 1814564 occupied, 23185358 free *** Garbage collection starting *** GC 1043 31-Oct-2003 20:30:57, 60 ms (0%), 1816166 occupied, 23183756 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_836 and e_1143. e_1143: 6 terms, 12 factors, with derivatives of functions of all variables: (q73,q62,q57,q40,q27,q9,p8,p7,p5) is replaced by e_1469: 6 terms, 12 factors, with derivatives of functions of all variables: (q73,q55,q49,q40,q27,q9,p8,p7,p5) 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 1044 31-Oct-2003 20:30:59, 70 ms (0%), 1814392 occupied, 23185530 free *** Garbage collection starting *** GC 1045 31-Oct-2003 20:31:00, 60 ms (0%), 1814714 occupied, 23185208 free *** Garbage collection starting *** GC 1046 31-Oct-2003 20:31:02, 50 ms (0%), 1815038 occupied, 23184884 free *** Garbage collection starting *** GC 1047 31-Oct-2003 20:31:03, 60 ms (0%), 1815354 occupied, 23184568 free *** Garbage collection starting *** GC 1048 31-Oct-2003 20:31:04, 50 ms (0%), 1816802 occupied, 23183120 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q73 from e_1469 and e_1492. e_1492: 8 terms, 16 factors, with derivatives of functions of all variables: (q73,q58,q57,q55,q49,q40,q25,q9,p8,p7,p5) is replaced by e_1489: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q55,q49,q40,q27,q25,p8,p7) Step 1138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1049 31-Oct-2003 20:31:06, 70 ms (0%), 1814018 occupied, 23185903 free *** Garbage collection starting *** GC 1050 31-Oct-2003 20:31:07, 60 ms (0%), 1814328 occupied, 23185592 free *** Garbage collection starting *** GC 1051 31-Oct-2003 20:31:08, 60 ms (0%), 1814636 occupied, 23185284 free *** Garbage collection starting *** GC 1052 31-Oct-2003 20:31:09, 60 ms (0%), 1814922 occupied, 23184998 free *** Garbage collection starting *** GC 1053 31-Oct-2003 20:31:11, 60 ms (0%), 1815950 occupied, 23183970 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1496. e_1496: 14 terms, 28 factors, with derivatives of functions of all variables: (q78,q70,q60,q58,q57,q55,q50,q49,q40,q36,q25,q22,q21,q9,p8,p7,p5) is replaced by e_1499: 12 terms, 24 factors, with derivatives of functions of all variables: (q78,q70,q60,q58,q57,q55,q49,q40,q36,q25,q21,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1054 31-Oct-2003 20:31:14, 70 ms (0%), 1814526 occupied, 23185396 free *** Garbage collection starting *** GC 1055 31-Oct-2003 20:31:15, 60 ms (0%), 1814842 occupied, 23185080 free *** Garbage collection starting *** GC 1056 31-Oct-2003 20:31:16, 60 ms (0%), 1815170 occupied, 23184752 free *** Garbage collection starting *** GC 1057 31-Oct-2003 20:31:17, 60 ms (0%), 1815494 occupied, 23184428 free *** Garbage collection starting *** GC 1058 31-Oct-2003 20:31:18, 60 ms (0%), 1816700 occupied, 23183222 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1059 31-Oct-2003 20:31:21, 70 ms (0%), 1877689 occupied, 23122140 free Eliminate q47 from e_1506 and e_1461. e_1461: 10 terms, 20 factors, with derivatives of functions of all variables: (q47,q43,q41,q39,q38,q29,q24,q10,q8,q4,p8,p7,p5) is replaced by e_1297: 10 terms, 20 factors, with derivatives of functions of all variables: (q43,q41,q39,q38,q29,q24,q22,q10,q8,q4,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1060 31-Oct-2003 20:31:23, 60 ms (0%), 1814966 occupied, 23184954 free *** Garbage collection starting *** GC 1061 31-Oct-2003 20:31:24, 50 ms (0%), 1815292 occupied, 23184627 free *** Garbage collection starting *** GC 1062 31-Oct-2003 20:31:26, 50 ms (0%), 1815606 occupied, 23184314 free *** Garbage collection starting *** GC 1063 31-Oct-2003 20:31:27, 60 ms (0%), 1817066 occupied, 23182854 free *** Garbage collection starting *** GC 1064 31-Oct-2003 20:31:28, 60 ms (0%), 1817346 occupied, 23182574 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1065 31-Oct-2003 20:31:31, 60 ms (0%), 1883350 occupied, 23116471 free *** Garbage collection starting *** GC 1066 31-Oct-2003 20:31:34, 60 ms (0%), 1874018 occupied, 23125820 free *** Garbage collection starting *** GC 1067 31-Oct-2003 20:31:37, 60 ms (0%), 1864847 occupied, 23135026 free *** Garbage collection starting *** GC 1068 31-Oct-2003 20:31:40, 70 ms (0%), 1857430 occupied, 23142450 free Eliminate q73 from e_1469 and e_1275. e_1469: 6 terms, 12 factors, with derivatives of functions of all variables: (q73,q55,q49,q40,q27,q9,p8,p7,p5) is replaced by e_1508: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q49,q40,q27,q25,q22,p8,p7) 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 1069 31-Oct-2003 20:31:42, 60 ms (0%), 1814940 occupied, 23184983 free *** Garbage collection starting *** GC 1070 31-Oct-2003 20:31:44, 60 ms (0%), 1815266 occupied, 23184657 free *** Garbage collection starting *** GC 1071 31-Oct-2003 20:31:45, 60 ms (0%), 1815898 occupied, 23184025 free *** Garbage collection starting *** GC 1072 31-Oct-2003 20:31:46, 60 ms (0%), 1816382 occupied, 23183541 free *** Garbage collection starting *** GC 1073 31-Oct-2003 20:31:47, 50 ms (0%), 1816912 occupied, 23183011 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_1508 and e_1489. e_1489: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q55,q49,q40,q27,q25,p8,p7) is replaced by e_1138: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q40,q27,q25,q22,p8,p7) 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 : *** Garbage collection starting *** GC 1074 31-Oct-2003 20:31:49, 70 ms (0%), 1815312 occupied, 23184611 free *** Garbage collection starting *** GC 1075 31-Oct-2003 20:31:50, 50 ms (0%), 1816272 occupied, 23183651 free *** Garbage collection starting *** GC 1076 31-Oct-2003 20:31:51, 50 ms (0%), 1816782 occupied, 23183141 free *** Garbage collection starting *** GC 1077 31-Oct-2003 20:31:52, 50 ms (0%), 1817296 occupied, 23182627 free *** Garbage collection starting *** GC 1078 31-Oct-2003 20:31:53, 60 ms (0%), 1817594 occupied, 23182329 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_1508 and e_1275. e_1275: 7 terms, 14 factors, with derivatives of functions of all variables: (q73,q55,q40,q27,q25,q22,q9,p8,p7,p5) is replaced by e_1514: 7 terms, 14 factors, with derivatives of functions of all variables: (q73,q49,q40,q27,q25,q22,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1079 31-Oct-2003 20:31:55, 60 ms (0%), 1815370 occupied, 23184553 free *** Garbage collection starting *** GC 1080 31-Oct-2003 20:31:56, 50 ms (0%), 1815706 occupied, 23184217 free *** Garbage collection starting *** GC 1081 31-Oct-2003 20:31:57, 60 ms (0%), 1816032 occupied, 23183891 free *** Garbage collection starting *** GC 1082 31-Oct-2003 20:31:58, 50 ms (0%), 1816496 occupied, 23183426 free *** Garbage collection starting *** GC 1083 31-Oct-2003 20:32:00, 60 ms (0%), 1817598 occupied, 23182324 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1242. e_1242: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q62,q58,q50,q42,q40,q36,q27,q9,q7,q5,p8,p7) is replaced by e_398: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q62,q58,q42,q40,q36,q27,q22,q9,q7,q5,p8,p7) 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 : *** Garbage collection starting *** GC 1084 31-Oct-2003 20:32:03, 60 ms (0%), 1815442 occupied, 23184481 free *** Garbage collection starting *** GC 1085 31-Oct-2003 20:32:04, 50 ms (0%), 1816164 occupied, 23183759 free *** Garbage collection starting *** GC 1086 31-Oct-2003 20:32:05, 50 ms (0%), 1817478 occupied, 23182445 free *** Garbage collection starting *** GC 1087 31-Oct-2003 20:32:06, 60 ms (0%), 1817834 occupied, 23182089 free *** Garbage collection starting *** GC 1088 31-Oct-2003 20:32:07, 60 ms (0%), 1818408 occupied, 23181515 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1089 31-Oct-2003 20:32:10, 70 ms (0%), 1887252 occupied, 23112580 free Eliminate q10 from e_1240 and e_1297. e_1297: 10 terms, 20 factors, with derivatives of functions of all variables: (q43,q41,q39,q38,q29,q24,q22,q10,q8,q4,p8,p7,p5) is replaced by e_1515: 10 terms, 20 factors, with derivatives of functions of all variables: (q43,q41,q39,q38,q29,q24,q22,q9,q8,q4,p8,p7,p5) 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 1090 31-Oct-2003 20:32:12, 50 ms (0%), 1815998 occupied, 23183924 free *** Garbage collection starting *** GC 1091 31-Oct-2003 20:32:13, 60 ms (0%), 1816340 occupied, 23183582 free *** Garbage collection starting *** GC 1092 31-Oct-2003 20:32:14, 50 ms (0%), 1816644 occupied, 23183278 free *** Garbage collection starting *** GC 1093 31-Oct-2003 20:32:15, 60 ms (0%), 1817950 occupied, 23181972 free *** Garbage collection starting *** GC 1094 31-Oct-2003 20:32:16, 60 ms (0%), 1818472 occupied, 23181450 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1459. e_1459: 11 terms, 22 factors, with derivatives of functions of all variables: (q79,q77,q76,q63,q57,q53,q47,q42,q27,q10,q7,p8,p7) is replaced by e_1490: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q77,q57,q53,q47,q42,q27,q25,q10,q7,p8,p7) 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 1095 31-Oct-2003 20:32:19, 60 ms (0%), 1815738 occupied, 23184184 free *** Garbage collection starting *** GC 1096 31-Oct-2003 20:32:20, 60 ms (0%), 1816364 occupied, 23183559 free *** Garbage collection starting *** GC 1097 31-Oct-2003 20:32:21, 60 ms (0%), 1817536 occupied, 23182387 free *** Garbage collection starting *** GC 1098 31-Oct-2003 20:32:22, 50 ms (0%), 1817832 occupied, 23182091 free *** Garbage collection starting *** GC 1099 31-Oct-2003 20:32:23, 60 ms (0%), 1818284 occupied, 23181639 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1446 and e_1490. e_1490: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q77,q57,q53,q47,q42,q27,q25,q10,q7,p8,p7) is replaced by e_1516: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q57,q53,q49,q47,q42,q27,q25,q10,p8,p7) 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 1100 31-Oct-2003 20:32:26, 60 ms (0%), 1815832 occupied, 23184091 free *** Garbage collection starting *** GC 1101 31-Oct-2003 20:32:27, 60 ms (0%), 1816326 occupied, 23183597 free *** Garbage collection starting *** GC 1102 31-Oct-2003 20:32:28, 60 ms (0%), 1816858 occupied, 23183065 free *** Garbage collection starting *** GC 1103 31-Oct-2003 20:32:29, 50 ms (0%), 1817246 occupied, 23182677 free *** Garbage collection starting *** GC 1104 31-Oct-2003 20:32:31, 60 ms (0%), 1817842 occupied, 23182081 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1457. e_1457: 11 terms, 22 factors, with derivatives of functions of all variables: (q79,q77,q76,q63,q59,q54,q48,q41,q26,q10,q7,p8,p7) is replaced by e_831: 11 terms, 22 factors, with derivatives of functions of all variables: (q77,q76,q63,q59,q54,q48,q41,q26,q10,q7,q4,p8,p7) Step 1149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 1105 31-Oct-2003 20:32:33, 60 ms (0%), 1815368 occupied, 23184555 free *** Garbage collection starting *** GC 1106 31-Oct-2003 20:32:34, 60 ms (0%), 1815602 occupied, 23184321 free *** Garbage collection starting *** GC 1107 31-Oct-2003 20:32:35, 60 ms (0%), 1816518 occupied, 23183405 free *** Garbage collection starting *** GC 1108 31-Oct-2003 20:32:36, 60 ms (0%), 1817276 occupied, 23182647 free *** Garbage collection starting *** GC 1109 31-Oct-2003 20:32:38, 60 ms (0%), 1817532 occupied, 23182391 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1454. e_1454: 11 terms, 22 factors, with derivatives of functions of all variables: (q79,q77,q63,q59,q56,q48,q41,q39,q26,q7,q6,p8,p7) is replaced by e_1401: 11 terms, 22 factors, with derivatives of functions of all variables: (q77,q63,q59,q56,q48,q41,q39,q26,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1110 31-Oct-2003 20:32:40, 60 ms (0%), 1816210 occupied, 23183713 free *** Garbage collection starting *** GC 1111 31-Oct-2003 20:32:41, 60 ms (0%), 1816438 occupied, 23183485 free *** Garbage collection starting *** GC 1112 31-Oct-2003 20:32:43, 60 ms (0%), 1817796 occupied, 23182127 free *** Garbage collection starting *** GC 1113 31-Oct-2003 20:32:44, 50 ms (0%), 1818500 occupied, 23181423 free *** Garbage collection starting *** GC 1114 31-Oct-2003 20:32:45, 50 ms (0%), 1819054 occupied, 23180869 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1267 and e_398. e_398: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q62,q58,q42,q40,q36,q27,q22,q9,q7,q5,p8,p7) is replaced by e_538: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q62,q58,q42,q40,q36,q27,q22,q7,q5,q4,p8,p7) 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 : *** Garbage collection starting *** GC 1115 31-Oct-2003 20:32:48, 60 ms (0%), 1816326 occupied, 23183597 free *** Garbage collection starting *** GC 1116 31-Oct-2003 20:32:49, 60 ms (0%), 1816902 occupied, 23183021 free *** Garbage collection starting *** GC 1117 31-Oct-2003 20:32:50, 50 ms (0%), 1818150 occupied, 23181773 free *** Garbage collection starting *** GC 1118 31-Oct-2003 20:32:52, 60 ms (0%), 1819096 occupied, 23180827 free *** Garbage collection starting *** GC 1119 31-Oct-2003 20:32:53, 60 ms (0%), 1819336 occupied, 23180587 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_804 and e_1515. e_1515: 10 terms, 20 factors, with derivatives of functions of all variables: (q43,q41,q39,q38,q29,q24,q22,q9,q8,q4,p8,p7,p5) is replaced by e_1237: 10 terms, 20 factors, with derivatives of functions of all variables: (q43,q39,q38,q29,q26,q24,q22,q9,q8,q4,p8,p7,p5) Step 1153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1120 31-Oct-2003 20:32:55, 60 ms (0%), 1816660 occupied, 23183261 free *** Garbage collection starting *** GC 1121 31-Oct-2003 20:32:57, 50 ms (0%), 1817014 occupied, 23182907 free *** Garbage collection starting *** GC 1122 31-Oct-2003 20:32:58, 60 ms (0%), 1817318 occupied, 23182603 free *** Garbage collection starting *** GC 1123 31-Oct-2003 20:32:59, 50 ms (0%), 1818552 occupied, 23181369 free *** Garbage collection starting *** GC 1124 31-Oct-2003 20:33:00, 60 ms (0%), 1819100 occupied, 23180821 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_836 and e_1010. e_1010: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q57,q49,q40,q36,q27,q9,p8,p7,p5) is replaced by e_1520: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q58,q57,q55,q49,q40,q36,q27,q9,p8,p7,p5) 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 1125 31-Oct-2003 20:33:03, 60 ms (0%), 1816676 occupied, 23183247 free *** Garbage collection starting *** GC 1126 31-Oct-2003 20:33:04, 60 ms (0%), 1817012 occupied, 23182911 free *** Garbage collection starting *** GC 1127 31-Oct-2003 20:33:05, 50 ms (0%), 1817330 occupied, 23182593 free *** Garbage collection starting *** GC 1128 31-Oct-2003 20:33:06, 60 ms (0%), 1817658 occupied, 23182265 free *** Garbage collection starting *** GC 1129 31-Oct-2003 20:33:08, 60 ms (0%), 1818866 occupied, 23181057 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q70 from e_1239 and e_1520. e_1520: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q58,q57,q55,q49,q40,q36,q27,q9,p8,p7,p5) is replaced by e_1039: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q58,q57,q55,q49,q43,q40,q36,q27,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1130 31-Oct-2003 20:33:10, 50 ms (0%), 1816818 occupied, 23183104 free *** Garbage collection starting *** GC 1131 31-Oct-2003 20:33:11, 60 ms (0%), 1817138 occupied, 23182784 free *** Garbage collection starting *** GC 1132 31-Oct-2003 20:33:12, 60 ms (0%), 1817476 occupied, 23182446 free *** Garbage collection starting *** GC 1133 31-Oct-2003 20:33:14, 60 ms (0%), 1817786 occupied, 23182136 free *** Garbage collection starting *** GC 1134 31-Oct-2003 20:33:15, 60 ms (0%), 1818592 occupied, 23181330 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_994 and e_962. e_962: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q77,q71,q57,q55,q49,q40,q25,q10,q7,p8,p7,p5) is replaced by e_1522: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q71,q62,q57,q55,q49,q40,q25,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1135 31-Oct-2003 20:33:17, 60 ms (0%), 1816850 occupied, 23183071 free *** Garbage collection starting *** GC 1136 31-Oct-2003 20:33:18, 60 ms (0%), 1817174 occupied, 23182747 free *** Garbage collection starting *** GC 1137 31-Oct-2003 20:33:20, 60 ms (0%), 1817506 occupied, 23182415 free *** Garbage collection starting *** GC 1138 31-Oct-2003 20:33:21, 50 ms (0%), 1817800 occupied, 23182121 free *** Garbage collection starting *** GC 1139 31-Oct-2003 20:33:22, 50 ms (0%), 1818116 occupied, 23181805 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q71 from e_1119 and e_1522. e_1522: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q71,q62,q57,q55,q49,q40,q25,q7,p8,p7,p5) is replaced by e_584: 8 terms, 16 factors, with derivatives of functions of all variables: (q77,q57,q55,q49,q42,q40,q25,q7,p8,p7) 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 2 terms Step 1158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1140 31-Oct-2003 20:33:25, 60 ms (0%), 1816412 occupied, 23183510 free *** Garbage collection starting *** GC 1141 31-Oct-2003 20:33:26, 60 ms (0%), 1816732 occupied, 23183190 free *** Garbage collection starting *** GC 1142 31-Oct-2003 20:33:27, 50 ms (0%), 1817052 occupied, 23182870 free *** Garbage collection starting *** GC 1143 31-Oct-2003 20:33:28, 50 ms (0%), 1817354 occupied, 23182568 free *** Garbage collection starting *** GC 1144 31-Oct-2003 20:33:29, 50 ms (0%), 1817598 occupied, 23182324 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_1550 and e_986. e_986: 4 terms, 8 factors, with derivatives of functions of all variables: (q82,q74,q71,q28,p7,p5) is replaced by e_421: 4 terms, 8 factors, with derivatives of functions of all variables: (q82,q44,q28,q2,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1145 31-Oct-2003 20:33:32, 60 ms (0%), 1816176 occupied, 23183747 free *** Garbage collection starting *** GC 1146 31-Oct-2003 20:33:33, 60 ms (0%), 1816504 occupied, 23183419 free *** Garbage collection starting *** GC 1147 31-Oct-2003 20:33:34, 50 ms (0%), 1816836 occupied, 23183087 free *** Garbage collection starting *** GC 1148 31-Oct-2003 20:33:35, 60 ms (0%), 1817154 occupied, 23182769 free *** Garbage collection starting *** GC 1149 31-Oct-2003 20:33:36, 50 ms (0%), 1817264 occupied, 23182659 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q82 from e_421 and e_1207. e_1207: 7 terms, 14 factors, with derivatives of functions of all variables: (q82,q69,q68,q46,q44,q29,q28,p8,p7,p5) is replaced by e_1526: 7 terms, 14 factors, with derivatives of functions of all variables: (q69,q68,q46,q44,q29,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1150 31-Oct-2003 20:33:38, 60 ms (0%), 1817142 occupied, 23182781 free *** Garbage collection starting *** GC 1151 31-Oct-2003 20:33:39, 50 ms (0%), 1818080 occupied, 23181843 free *** Garbage collection starting *** GC 1152 31-Oct-2003 20:33:41, 50 ms (0%), 1818964 occupied, 23180959 free *** Garbage collection starting *** GC 1153 31-Oct-2003 20:33:42, 60 ms (0%), 1819584 occupied, 23180339 free *** Garbage collection starting *** GC 1154 31-Oct-2003 20:33:43, 60 ms (0%), 1819930 occupied, 23179993 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q82 from e_1007 and e_1042. e_1042: 10 terms, 20 factors, with derivatives of functions of all variables: (q82,q69,q68,q65,q61,q51,q46,q45,q44,q29,p8,p7,p5) is replaced by e_1417: 10 terms, 20 factors, with derivatives of functions of all variables: (q69,q68,q65,q61,q60,q51,q46,q45,q44,q29,p8,p7) 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 : *** Garbage collection starting *** GC 1155 31-Oct-2003 20:33:45, 60 ms (0%), 1817580 occupied, 23182343 free *** Garbage collection starting *** GC 1156 31-Oct-2003 20:33:46, 60 ms (0%), 1819162 occupied, 23180761 free *** Garbage collection starting *** GC 1157 31-Oct-2003 20:33:47, 60 ms (0%), 1819450 occupied, 23180473 free *** Garbage collection starting *** GC 1158 31-Oct-2003 20:33:49, 50 ms (0%), 1819556 occupied, 23180367 free *** Garbage collection starting *** GC 1159 31-Oct-2003 20:33:50, 60 ms (0%), 1819782 occupied, 23180141 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1160 31-Oct-2003 20:33:53, 70 ms (0%), 1863444 occupied, 23136431 free *** Garbage collection starting *** GC 1161 31-Oct-2003 20:33:56, 60 ms (0%), 1817937 occupied, 23181986 free Eliminate q50 from e_1258 and e_1299. e_1299: 15 terms, 30 factors, with derivatives of functions of all variables: (q78,q62,q60,q58,q55,q50,q45,q40,q29,q27,q25,q24,q22,q21,q9,p8,p7,p5) is replaced by e_1527: 13 terms, 26 factors, with derivatives of functions of all variables: (q78,q62,q60,q58,q55,q45,q40,q29,q27,q25,q24,q21,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1162 31-Oct-2003 20:33:58, 60 ms (0%), 1817598 occupied, 23182325 free *** Garbage collection starting *** GC 1163 31-Oct-2003 20:34:00, 60 ms (0%), 1817940 occupied, 23181983 free *** Garbage collection starting *** GC 1164 31-Oct-2003 20:34:01, 50 ms (0%), 1818250 occupied, 23181673 free *** Garbage collection starting *** GC 1165 31-Oct-2003 20:34:02, 60 ms (0%), 1818566 occupied, 23181357 free *** Garbage collection starting *** GC 1166 31-Oct-2003 20:34:03, 50 ms (0%), 1818860 occupied, 23181063 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1167 31-Oct-2003 20:34:06, 70 ms (0%), 1871845 occupied, 23128016 free Eliminate q78 from e_1422 and e_1460. e_1460: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q76,q75,q64,q62,q43,q41,q40,q29,q27,q24,p8,p7,p5) is replaced by e_1518: 11 terms, 22 factors, with derivatives of functions of all variables: (q76,q75,q64,q62,q58,q43,q41,q40,q29,q27,q24,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1168 31-Oct-2003 20:34:09, 60 ms (0%), 1817692 occupied, 23182231 free *** Garbage collection starting *** GC 1169 31-Oct-2003 20:34:10, 50 ms (0%), 1818030 occupied, 23181893 free *** Garbage collection starting *** GC 1170 31-Oct-2003 20:34:12, 50 ms (0%), 1818368 occupied, 23181555 free *** Garbage collection starting *** GC 1171 31-Oct-2003 20:34:13, 60 ms (0%), 1818634 occupied, 23181289 free *** Garbage collection starting *** GC 1172 31-Oct-2003 20:34:14, 60 ms (0%), 1818866 occupied, 23181057 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_1551 and e_1074. e_1074: 11 terms, 22 factors, with derivatives of functions of all variables: (q83,q72,q70,q68,q67,q65,q60,q52,q45,q43,q29,p8,p7,p5) is replaced by e_1529: 11 terms, 22 factors, with derivatives of functions of all variables: (q83,q72,q70,q68,q67,q65,q60,q52,q45,q29,q1,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1173 31-Oct-2003 20:34:17, 60 ms (0%), 1817744 occupied, 23182178 free *** Garbage collection starting *** GC 1174 31-Oct-2003 20:34:18, 50 ms (0%), 1818062 occupied, 23181860 free *** Garbage collection starting *** GC 1175 31-Oct-2003 20:34:19, 60 ms (0%), 1818402 occupied, 23181520 free *** Garbage collection starting *** GC 1176 31-Oct-2003 20:34:20, 60 ms (0%), 1818732 occupied, 23181190 free *** Garbage collection starting *** GC 1177 31-Oct-2003 20:34:22, 60 ms (0%), 1819274 occupied, 23180647 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q48 from e_1235 and e_950. e_950: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q59,q58,q48,q26,q24,q23,q8,p8,p7) is replaced by e_1530: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q59,q58,q41,q38,q26,q24,q23,p8,p7) 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 1178 31-Oct-2003 20:34:23, 50 ms (0%), 1817814 occupied, 23182108 free *** Garbage collection starting *** GC 1179 31-Oct-2003 20:34:24, 50 ms (0%), 1818434 occupied, 23181488 free *** Garbage collection starting *** GC 1180 31-Oct-2003 20:34:26, 60 ms (0%), 1819344 occupied, 23180578 free *** Garbage collection starting *** GC 1181 31-Oct-2003 20:34:27, 60 ms (0%), 1820178 occupied, 23179744 free *** Garbage collection starting *** GC 1182 31-Oct-2003 20:34:28, 60 ms (0%), 1820526 occupied, 23179396 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_804 and e_1530. e_1530: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q59,q58,q41,q38,q26,q24,q23,p8,p7) is replaced by e_1528: 7 terms, 14 factors, with derivatives of functions of all variables: (q78,q59,q58,q38,q24,q23,q22,p8,p7) 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 : *** Garbage collection starting *** GC 1183 31-Oct-2003 20:34:30, 50 ms (0%), 1817874 occupied, 23182048 free *** Garbage collection starting *** GC 1184 31-Oct-2003 20:34:32, 60 ms (0%), 1819014 occupied, 23180908 free *** Garbage collection starting *** GC 1185 31-Oct-2003 20:34:33, 60 ms (0%), 1820222 occupied, 23179700 free *** Garbage collection starting *** GC 1186 31-Oct-2003 20:34:34, 60 ms (0%), 1820484 occupied, 23179438 free *** Garbage collection starting *** GC 1187 31-Oct-2003 20:34:35, 60 ms (0%), 1820598 occupied, 23179324 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q82 from e_421 and e_1077. e_1077: 11 terms, 22 factors, with derivatives of functions of all variables: (q82,q74,q70,q69,q68,q65,q60,q51,q46,q44,q28,p8,p7,p5) is replaced by e_1531: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q70,q69,q68,q65,q60,q51,q46,q44,q28,q2,p8,p7) 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 1188 31-Oct-2003 20:34:38, 70 ms (0%), 1818144 occupied, 23181778 free *** Garbage collection starting *** GC 1189 31-Oct-2003 20:34:39, 60 ms (0%), 1819776 occupied, 23180146 free *** Garbage collection starting *** GC 1190 31-Oct-2003 20:34:40, 60 ms (0%), 1820070 occupied, 23179852 free *** Garbage collection starting *** GC 1191 31-Oct-2003 20:34:41, 70 ms (0%), 1820204 occupied, 23179718 free *** Garbage collection starting *** GC 1192 31-Oct-2003 20:34:43, 60 ms (0%), 1820470 occupied, 23179452 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q69 from e_1556 and e_1531. e_1531: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q70,q69,q68,q65,q60,q51,q46,q44,q28,q2,p8,p7) is replaced by e_1397: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q70,q68,q65,q60,q51,q46,q44,q43,q28,q2,p8,p7) 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 1193 31-Oct-2003 20:34:44, 50 ms (0%), 1818552 occupied, 23181369 free *** Garbage collection starting *** GC 1194 31-Oct-2003 20:34:46, 60 ms (0%), 1819268 occupied, 23180653 free *** Garbage collection starting *** GC 1195 31-Oct-2003 20:34:47, 60 ms (0%), 1819662 occupied, 23180259 free *** Garbage collection starting *** GC 1196 31-Oct-2003 20:34:48, 60 ms (0%), 1820030 occupied, 23179891 free *** Garbage collection starting *** GC 1197 31-Oct-2003 20:34:49, 50 ms (0%), 1820386 occupied, 23179535 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_1465. e_1465: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q56,q49,q44,q42,q40,q37,q25,q9,q7,q3,p8,p7,p5) is replaced by e_1533: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q56,q49,q44,q42,q40,q37,q25,q7,q6,q3,p8,p7,p5) 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 1198 31-Oct-2003 20:34:51, 60 ms (0%), 1818610 occupied, 23181312 free *** Garbage collection starting *** GC 1199 31-Oct-2003 20:34:52, 50 ms (0%), 1818948 occupied, 23180974 free *** Garbage collection starting *** GC 1200 31-Oct-2003 20:34:54, 50 ms (0%), 1819272 occupied, 23180650 free *** Garbage collection starting *** GC 1201 31-Oct-2003 20:34:55, 50 ms (0%), 1819698 occupied, 23180224 free *** Garbage collection starting *** GC 1202 31-Oct-2003 20:34:56, 50 ms (0%), 1820582 occupied, 23179340 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q75 from e_1307 and e_1518. e_1518: 11 terms, 22 factors, with derivatives of functions of all variables: (q76,q75,q64,q62,q58,q43,q41,q40,q29,q27,q24,p8,p7,p5) is replaced by e_1534: 11 terms, 22 factors, with derivatives of functions of all variables: (q76,q64,q62,q58,q43,q41,q40,q29,q27,q24,q4,p8,p7,p5) 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 1203 31-Oct-2003 20:34:59, 50 ms (0%), 1818618 occupied, 23181303 free *** Garbage collection starting *** GC 1204 31-Oct-2003 20:35:01, 50 ms (0%), 1818938 occupied, 23180983 free *** Garbage collection starting *** GC 1205 31-Oct-2003 20:35:02, 60 ms (0%), 1819268 occupied, 23180653 free *** Garbage collection starting *** GC 1206 31-Oct-2003 20:35:03, 60 ms (0%), 1819570 occupied, 23180351 free *** Garbage collection starting *** GC 1207 31-Oct-2003 20:35:04, 60 ms (0%), 1820510 occupied, 23179411 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_1508 and e_1234. e_1234: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q55,q40,q29,q27,q25,q22,q9,p8,p7,p5) is replaced by e_1129: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) 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 1208 31-Oct-2003 20:35:07, 50 ms (0%), 1818696 occupied, 23181225 free *** Garbage collection starting *** GC 1209 31-Oct-2003 20:35:08, 60 ms (0%), 1819038 occupied, 23180883 free *** Garbage collection starting *** GC 1210 31-Oct-2003 20:35:10, 60 ms (0%), 1819380 occupied, 23180541 free *** Garbage collection starting *** GC 1211 31-Oct-2003 20:35:11, 60 ms (0%), 1819684 occupied, 23180237 free *** Garbage collection starting *** GC 1212 31-Oct-2003 20:35:12, 60 ms (0%), 1820536 occupied, 23179385 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q70 from e_1421 and e_1529. e_1529: 11 terms, 22 factors, with derivatives of functions of all variables: (q83,q72,q70,q68,q67,q65,q60,q52,q45,q29,q1,p8,p7,p5) is replaced by e_1536: 10 terms, 20 factors, with derivatives of functions of all variables: (q83,q72,q69,q68,q65,q60,q52,q45,q29,q1,p8,p7,p5) 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 1213 31-Oct-2003 20:35:15, 50 ms (0%), 1818786 occupied, 23181136 free *** Garbage collection starting *** GC 1214 31-Oct-2003 20:35:16, 50 ms (0%), 1819132 occupied, 23180790 free *** Garbage collection starting *** GC 1215 31-Oct-2003 20:35:17, 60 ms (0%), 1819448 occupied, 23180474 free *** Garbage collection starting *** GC 1216 31-Oct-2003 20:35:18, 60 ms (0%), 1819776 occupied, 23180146 free *** Garbage collection starting *** GC 1217 31-Oct-2003 20:35:20, 60 ms (0%), 1820648 occupied, 23179274 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q58 from e_1138 and e_1129. e_1129: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q58,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) is replaced by e_1470: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q57,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) 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 1218 31-Oct-2003 20:35:21, 60 ms (0%), 1819074 occupied, 23180847 free *** Garbage collection starting *** GC 1219 31-Oct-2003 20:35:23, 50 ms (0%), 1819402 occupied, 23180519 free *** Garbage collection starting *** GC 1220 31-Oct-2003 20:35:24, 50 ms (0%), 1819734 occupied, 23180187 free *** Garbage collection starting *** GC 1221 31-Oct-2003 20:35:25, 50 ms (0%), 1820028 occupied, 23179893 free *** Garbage collection starting *** GC 1222 31-Oct-2003 20:35:26, 60 ms (0%), 1821306 occupied, 23178615 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_836 and e_1470. e_1470: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q62,q57,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) is replaced by e_1538: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q70,q57,q55,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) Step 1174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1223 31-Oct-2003 20:35:29, 60 ms (0%), 1818338 occupied, 23181583 free *** Garbage collection starting *** GC 1224 31-Oct-2003 20:35:31, 50 ms (0%), 1818664 occupied, 23181256 free *** Garbage collection starting *** GC 1225 31-Oct-2003 20:35:32, 60 ms (0%), 1818992 occupied, 23180928 free *** Garbage collection starting *** GC 1226 31-Oct-2003 20:35:33, 60 ms (0%), 1819330 occupied, 23180590 free *** Garbage collection starting *** GC 1227 31-Oct-2003 20:35:34, 60 ms (0%), 1820172 occupied, 23179748 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_1508 and e_1539. e_1539: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q57,q55,q49,q40,q29,q27,q25,q9,p8,p7,p5) is replaced by e_1113: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q70,q57,q49,q40,q29,q27,q25,q22,q9,p8,p7,p5) 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 1228 31-Oct-2003 20:35:37, 60 ms (0%), 1819134 occupied, 23180788 free *** Garbage collection starting *** GC 1229 31-Oct-2003 20:35:38, 60 ms (0%), 1819474 occupied, 23180448 free *** Garbage collection starting *** GC 1230 31-Oct-2003 20:35:39, 60 ms (0%), 1819802 occupied, 23180120 free *** Garbage collection starting *** GC 1231 31-Oct-2003 20:35:41, 60 ms (0%), 1820112 occupied, 23179810 free *** Garbage collection starting *** GC 1232 31-Oct-2003 20:35:42, 60 ms (0%), 1821122 occupied, 23178800 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1233 31-Oct-2003 20:35:45, 70 ms (0%), 1880892 occupied, 23118959 free Eliminate q70 from e_1393 and e_1008. e_1008: 7 terms, 14 factors, with derivatives of functions of all variables: (q83,q70,q67,q65,q60,q51,q45,p8,p7,p5) is replaced by e_1541: 7 terms, 14 factors, with derivatives of functions of all variables: (q83,q67,q66,q65,q60,q45,q1,p8,p7,p5) 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 1234 31-Oct-2003 20:35:47, 50 ms (0%), 1819362 occupied, 23180560 free *** Garbage collection starting *** GC 1235 31-Oct-2003 20:35:48, 50 ms (0%), 1819690 occupied, 23180232 free *** Garbage collection starting *** GC 1236 31-Oct-2003 20:35:49, 60 ms (0%), 1820024 occupied, 23179898 free *** Garbage collection starting *** GC 1237 31-Oct-2003 20:35:50, 50 ms (0%), 1820306 occupied, 23179616 free *** Garbage collection starting *** GC 1238 31-Oct-2003 20:35:52, 60 ms (0%), 1821896 occupied, 23178026 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_450. e_450: 16 terms, 32 factors, with derivatives of functions of all variables: (q80,q79,q76,q63,q57,q56,q49,q44,q42,q40,q39,q37,q36,q25,q10,q9,p8,p7,p5) is replaced by e_1542: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q79,q56,q49,q44,q42,q40,q39,q37,q36,q25,q10,q9,p8,p7,p5) Step 1178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1239 31-Oct-2003 20:35:54, 60 ms (0%), 1819530 occupied, 23180392 free *** Garbage collection starting *** GC 1240 31-Oct-2003 20:35:55, 60 ms (0%), 1819874 occupied, 23180048 free *** Garbage collection starting *** GC 1241 31-Oct-2003 20:35:56, 60 ms (0%), 1820208 occupied, 23179714 free *** Garbage collection starting *** GC 1242 31-Oct-2003 20:35:58, 50 ms (0%), 1820732 occupied, 23179190 free *** Garbage collection starting *** GC 1243 31-Oct-2003 20:35:59, 50 ms (0%), 1821746 occupied, 23178175 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1244 31-Oct-2003 20:36:02, 70 ms (0%), 1886694 occupied, 23113134 free *** Garbage collection starting *** GC 1245 31-Oct-2003 20:36:05, 50 ms (0%), 1886907 occupied, 23112918 free *** Garbage collection starting *** GC 1246 31-Oct-2003 20:36:09, 80 ms (0%), 1821197 occupied, 23178724 free Eliminate q78 from e_1422 and e_1466. e_1466: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q78,q76,q75,q67,q64,q62,q52,q41,q40,q27,q24,p8,p7,p5) is replaced by e_694: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q76,q75,q67,q64,q62,q58,q52,q41,q40,q27,q24,p8,p7,p5) 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 1247 31-Oct-2003 20:36:11, 50 ms (0%), 1819874 occupied, 23180046 free *** Garbage collection starting *** GC 1248 31-Oct-2003 20:36:12, 60 ms (0%), 1820218 occupied, 23179702 free *** Garbage collection starting *** GC 1249 31-Oct-2003 20:36:13, 60 ms (0%), 1820534 occupied, 23179386 free *** Garbage collection starting *** GC 1250 31-Oct-2003 20:36:15, 60 ms (0%), 1821660 occupied, 23178260 free *** Garbage collection starting *** GC 1251 31-Oct-2003 20:36:16, 50 ms (0%), 1822294 occupied, 23177626 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1386. e_1386: 12 terms, 24 factors, with derivatives of functions of all variables: (q79,q77,q76,q74,q63,q59,q56,q50,q39,q24,q10,q7,p8,p7,p5) is replaced by e_1544: 12 terms, 24 factors, with derivatives of functions of all variables: (q77,q76,q74,q63,q59,q56,q50,q39,q24,q10,q7,q4,p8,p7,p5) Step 1180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1252 31-Oct-2003 20:36:19, 60 ms (0%), 1819296 occupied, 23180626 free *** Garbage collection starting *** GC 1253 31-Oct-2003 20:36:20, 60 ms (0%), 1819644 occupied, 23180278 free *** Garbage collection starting *** GC 1254 31-Oct-2003 20:36:21, 50 ms (0%), 1819946 occupied, 23179976 free *** Garbage collection starting *** GC 1255 31-Oct-2003 20:36:23, 50 ms (0%), 1821238 occupied, 23178684 free *** Garbage collection starting *** GC 1256 31-Oct-2003 20:36:24, 60 ms (0%), 1821684 occupied, 23178238 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1342 and e_1545. e_1545: 11 terms, 22 factors, with derivatives of functions of all variables: (q77,q76,q74,q63,q59,q56,q50,q39,q24,q10,q7,p8,p7,p5) is replaced by e_1134: 11 terms, 22 factors, with derivatives of functions of all variables: (q77,q74,q63,q59,q56,q50,q39,q26,q24,q10,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1257 31-Oct-2003 20:36:27, 50 ms (0%), 1820044 occupied, 23179877 free *** Garbage collection starting *** GC 1258 31-Oct-2003 20:36:28, 60 ms (0%), 1820370 occupied, 23179551 free *** Garbage collection starting *** GC 1259 31-Oct-2003 20:36:30, 60 ms (0%), 1820706 occupied, 23179215 free *** Garbage collection starting *** GC 1260 31-Oct-2003 20:36:31, 50 ms (0%), 1821016 occupied, 23178905 free *** Garbage collection starting *** GC 1261 31-Oct-2003 20:36:32, 60 ms (0%), 1821334 occupied, 23178587 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q77 from e_1426 and e_1134. e_1134: 11 terms, 22 factors, with derivatives of functions of all variables: (q77,q74,q63,q59,q56,q50,q39,q26,q24,q10,q7,p8,p7,p5) is replaced by e_1547: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q63,q59,q56,q50,q39,q26,q24,q10,q7,q6,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1262 31-Oct-2003 20:36:35, 60 ms (0%), 1820194 occupied, 23179727 free *** Garbage collection starting *** GC 1263 31-Oct-2003 20:36:37, 60 ms (0%), 1820526 occupied, 23179395 free *** Garbage collection starting *** GC 1264 31-Oct-2003 20:36:38, 60 ms (0%), 1820878 occupied, 23179043 free *** Garbage collection starting *** GC 1265 31-Oct-2003 20:36:39, 50 ms (0%), 1821088 occupied, 23178833 free *** Garbage collection starting *** GC 1266 31-Oct-2003 20:36:40, 60 ms (0%), 1821338 occupied, 23178583 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1251 and e_1547. e_1547: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q63,q59,q56,q50,q39,q26,q24,q10,q7,q6,p8,p7,p5) is replaced by e_1548: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q63,q59,q56,q50,q39,q26,q24,q7,q6,q3,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1267 31-Oct-2003 20:36:44, 60 ms (0%), 1820322 occupied, 23179600 free *** Garbage collection starting *** GC 1268 31-Oct-2003 20:36:45, 60 ms (0%), 1820678 occupied, 23179244 free *** Garbage collection starting *** GC 1269 31-Oct-2003 20:36:46, 60 ms (0%), 1821004 occupied, 23178918 free *** Garbage collection starting *** GC 1270 31-Oct-2003 20:36:48, 50 ms (0%), 1821394 occupied, 23178528 free *** Garbage collection starting *** GC 1271 31-Oct-2003 20:36:49, 60 ms (0%), 1822314 occupied, 23177608 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q74 from e_729 and e_1548. e_1548: 11 terms, 22 factors, with derivatives of functions of all variables: (q74,q63,q59,q56,q50,q39,q26,q24,q7,q6,q3,p8,p7,p5) is replaced by e_1068: 11 terms, 22 factors, with derivatives of functions of all variables: (q63,q59,q58,q56,q50,q39,q26,q24,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1272 31-Oct-2003 20:36:52, 60 ms (0%), 1820234 occupied, 23179687 free *** Garbage collection starting *** GC 1273 31-Oct-2003 20:36:53, 50 ms (0%), 1820454 occupied, 23179467 free *** Garbage collection starting *** GC 1274 31-Oct-2003 20:36:55, 60 ms (0%), 1821252 occupied, 23178669 free *** Garbage collection starting *** GC 1275 31-Oct-2003 20:36:56, 50 ms (0%), 1822278 occupied, 23177643 free *** Garbage collection starting *** GC 1276 31-Oct-2003 20:36:57, 60 ms (0%), 1822924 occupied, 23176997 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1389. e_1389: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q80,q79,q78,q76,q59,q57,q42,q39,q26,q25,q10,q7,p8,p7) is replaced by e_1000: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q80,q79,q78,q63,q59,q57,q42,q39,q26,q25,q10,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1277 31-Oct-2003 20:37:01, 60 ms (0%), 1820394 occupied, 23179526 free *** Garbage collection starting *** GC 1278 31-Oct-2003 20:37:02, 60 ms (0%), 1820644 occupied, 23179276 free *** Garbage collection starting *** GC 1279 31-Oct-2003 20:37:03, 60 ms (0%), 1821956 occupied, 23177964 free *** Garbage collection starting *** GC 1280 31-Oct-2003 20:37:05, 60 ms (0%), 1822638 occupied, 23177282 free *** Garbage collection starting *** GC 1281 31-Oct-2003 20:37:06, 60 ms (0%), 1822820 occupied, 23177100 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1282 31-Oct-2003 20:37:09, 70 ms (0%), 1854689 occupied, 23145187 free *** Garbage collection starting *** GC 1283 31-Oct-2003 20:37:13, 60 ms (0%), 1877287 occupied, 23122557 free Eliminate q50 from e_1258 and e_977. e_977: 17 terms, 34 factors, with derivatives of functions of all variables: (q78,q62,q58,q54,q53,q52,q50,q47,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7,p5) is replaced by e_1067: 16 terms, 32 factors, with derivatives of functions of all variables: (q78,q62,q58,q54,q53,q52,q47,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1284 31-Oct-2003 20:37:15, 60 ms (0%), 1821068 occupied, 23178852 free *** Garbage collection starting *** GC 1285 31-Oct-2003 20:37:17, 60 ms (0%), 1821412 occupied, 23178508 free *** Garbage collection starting *** GC 1286 31-Oct-2003 20:37:18, 50 ms (0%), 1821734 occupied, 23178186 free *** Garbage collection starting *** GC 1287 31-Oct-2003 20:37:19, 60 ms (0%), 1822608 occupied, 23177312 free *** Garbage collection starting *** GC 1288 31-Oct-2003 20:37:21, 60 ms (0%), 1823128 occupied, 23176792 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1067. e_1067: 16 terms, 32 factors, with derivatives of functions of all variables: (q78,q62,q58,q54,q53,q52,q47,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7,p5) is replaced by e_1552: 15 terms, 30 factors, with derivatives of functions of all variables: (q78,q62,q58,q54,q53,q52,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1289 31-Oct-2003 20:37:23, 60 ms (0%), 1821072 occupied, 23178848 free *** Garbage collection starting *** GC 1290 31-Oct-2003 20:37:25, 60 ms (0%), 1821398 occupied, 23178522 free *** Garbage collection starting *** GC 1291 31-Oct-2003 20:37:26, 50 ms (0%), 1821736 occupied, 23178184 free *** Garbage collection starting *** GC 1292 31-Oct-2003 20:37:27, 50 ms (0%), 1822016 occupied, 23177904 free *** Garbage collection starting *** GC 1293 31-Oct-2003 20:37:29, 50 ms (0%), 1822328 occupied, 23177592 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q70 from e_1239 and e_1499. e_1499: 12 terms, 24 factors, with derivatives of functions of all variables: (q78,q70,q60,q58,q57,q55,q49,q40,q36,q25,q21,q9,p8,p7,p5) is replaced by e_1553: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q60,q58,q57,q55,q49,q43,q40,q25,q21,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1294 31-Oct-2003 20:37:32, 60 ms (0%), 1820818 occupied, 23179103 free *** Garbage collection starting *** GC 1295 31-Oct-2003 20:37:34, 60 ms (0%), 1821160 occupied, 23178761 free *** Garbage collection starting *** GC 1296 31-Oct-2003 20:37:35, 60 ms (0%), 1821492 occupied, 23178429 free *** Garbage collection starting *** GC 1297 31-Oct-2003 20:37:36, 50 ms (0%), 1821818 occupied, 23178103 free *** Garbage collection starting *** GC 1298 31-Oct-2003 20:37:38, 60 ms (0%), 1822112 occupied, 23177809 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q75 from e_1307 and e_694. e_694: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q76,q75,q67,q64,q62,q58,q52,q41,q40,q27,q24,p8,p7,p5) is replaced by e_1355: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q76,q67,q64,q62,q58,q52,q41,q40,q27,q24,q4,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1299 31-Oct-2003 20:37:40, 60 ms (0%), 1821208 occupied, 23178713 free *** Garbage collection starting *** GC 1300 31-Oct-2003 20:37:42, 60 ms (0%), 1821548 occupied, 23178373 free *** Garbage collection starting *** GC 1301 31-Oct-2003 20:37:43, 50 ms (0%), 1821864 occupied, 23178057 free *** Garbage collection starting *** GC 1302 31-Oct-2003 20:37:44, 60 ms (0%), 1822474 occupied, 23177447 free *** Garbage collection starting *** GC 1303 31-Oct-2003 20:37:46, 60 ms (0%), 1822572 occupied, 23177349 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q64 from e_1347 and e_1241. e_1241: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q64,q58,q56,q39,q24,q22,q9,p8,p7,p5) is replaced by e_850: 8 terms, 16 factors, with derivatives of functions of all variables: (q72,q56,q39,q38,q24,q23,q22,q9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 1304 31-Oct-2003 20:37:49, 60 ms (0%), 1821108 occupied, 23178812 free *** Garbage collection starting *** GC 1305 31-Oct-2003 20:37:50, 60 ms (0%), 1821434 occupied, 23178485 free *** Garbage collection starting *** GC 1306 31-Oct-2003 20:37:52, 50 ms (0%), 1821760 occupied, 23178159 free *** Garbage collection starting *** GC 1307 31-Oct-2003 20:37:53, 60 ms (0%), 1822076 occupied, 23177843 free *** Garbage collection starting *** GC 1308 31-Oct-2003 20:37:54, 60 ms (0%), 1822306 occupied, 23177613 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1495 and e_1000. e_1000: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q80,q79,q78,q63,q59,q57,q42,q39,q26,q25,q10,q7,p8,p7) is replaced by e_1450: 8 terms, 16 factors, with derivatives of functions of all variables: (q81,q80,q79,q42,q25,q10,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1309 31-Oct-2003 20:37:57, 60 ms (0%), 1814746 occupied, 23185176 free *** Garbage collection starting *** GC 1310 31-Oct-2003 20:37:58, 50 ms (0%), 1815164 occupied, 23184758 free *** Garbage collection starting *** GC 1311 31-Oct-2003 20:37:59, 50 ms (0%), 1816124 occupied, 23183798 free *** Garbage collection starting *** GC 1312 31-Oct-2003 20:38:00, 50 ms (0%), 1817104 occupied, 23182818 free *** Garbage collection starting *** GC 1313 31-Oct-2003 20:38:01, 50 ms (0%), 1817662 occupied, 23182260 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1450. e_1450: 8 terms, 16 factors, with derivatives of functions of all variables: (q81,q80,q79,q42,q25,q10,q7,q3,p8,p7) is replaced by e_1423: 8 terms, 16 factors, with derivatives of functions of all variables: (q81,q80,q42,q25,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1314 31-Oct-2003 20:38:04, 60 ms (0%), 1814276 occupied, 23185646 free *** Garbage collection starting *** GC 1315 31-Oct-2003 20:38:05, 50 ms (0%), 1815656 occupied, 23184266 free *** Garbage collection starting *** GC 1316 31-Oct-2003 20:38:06, 60 ms (0%), 1816448 occupied, 23183474 free *** Garbage collection starting *** GC 1317 31-Oct-2003 20:38:07, 50 ms (0%), 1816880 occupied, 23183042 free *** Garbage collection starting *** GC 1318 31-Oct-2003 20:38:08, 50 ms (0%), 1817006 occupied, 23182916 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1319 31-Oct-2003 20:38:11, 50 ms (0%), 1823616 occupied, 23176299 free *** Garbage collection starting *** GC 1320 31-Oct-2003 20:38:15, 60 ms (0%), 1825056 occupied, 23174858 free *** Garbage collection starting *** GC 1321 31-Oct-2003 20:38:18, 80 ms (0%), 1832189 occupied, 23167714 free *** Garbage collection starting *** GC 1322 31-Oct-2003 20:38:22, 50 ms (0%), 1842561 occupied, 23157335 free *** Garbage collection starting *** GC 1323 31-Oct-2003 20:38:25, 50 ms (0%), 1856932 occupied, 23142952 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_1303 we get the alternative equations : 0=p5 0=q7 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_982 : 0=p5 e_1400,e_1227,e_1291,e_743,e_1532,e_1555,e_1016,e_551,e_489,e_949,e_851,e_791, e_1080,e_1219,e_1072,e_919,e_1090,e_1175,e_616,e_487,e_1033,e_971,e_1215,e_1066, e_1408,e_1411,e_1047,e_1257,e_1271,e_1097,e_1212,e_1163,e_1264,e_1283,e_1321, e_1431,e_1430,e_1073,e_979,e_1341,e_191,e_1116,e_807,e_1228,e_1011,e_1128,e_1350 ,e_1021,e_985,e_1199,e_1519,e_1521,e_1535 are consequences of e_982 Step 1195: Hot list of urgent steps : The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 81 terms The list of inequalities got extended by: g0317*p8 + g0318*p7 e_1004 is a consequence of e_1164. e_753 is a consequence of e_1164. *** Garbage collection starting *** GC 1324 31-Oct-2003 20:38:27, 70 ms (0%), 1815451 occupied, 23184471 free Substitution of p5 found in e_982 : p5=0 Step 1196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1325 31-Oct-2003 20:38:28, 60 ms (0%), 1811355 occupied, 23188566 free shortening by 5 terms Step 1205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1326 31-Oct-2003 20:38:29, 60 ms (0%), 1811237 occupied, 23188684 free *** Garbage collection starting *** GC 1327 31-Oct-2003 20:38:30, 60 ms (0%), 1812523 occupied, 23187398 free *** Garbage collection starting *** GC 1328 31-Oct-2003 20:38:31, 60 ms (0%), 1813239 occupied, 23186682 free *** Garbage collection starting *** GC 1329 31-Oct-2003 20:38:32, 60 ms (0%), 1813547 occupied, 23186374 free *** Garbage collection starting *** GC 1330 31-Oct-2003 20:38:32, 60 ms (0%), 1813817 occupied, 23186104 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1356 and e_1462. e_1462: 4 terms, 8 factors, with derivatives of functions of all variables: (q72,q71,q44,q2,p8,p7) is replaced by e_1346: 4 terms, 8 factors, with derivatives of functions of all variables: (q72,q71,q28,q2,p8,p7) Step 1215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1331 31-Oct-2003 20:38:34, 60 ms (0%), 1811657 occupied, 23188264 free *** Garbage collection starting *** GC 1332 31-Oct-2003 20:38:35, 50 ms (0%), 1812761 occupied, 23187160 free *** Garbage collection starting *** GC 1333 31-Oct-2003 20:38:36, 70 ms (0%), 1813179 occupied, 23186742 free *** Garbage collection starting *** GC 1334 31-Oct-2003 20:38:37, 60 ms (0%), 1813845 occupied, 23186076 free *** Garbage collection starting *** GC 1335 31-Oct-2003 20:38:37, 50 ms (0%), 1814115 occupied, 23185806 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1452. e_1452: 7 terms, 14 factors, with derivatives of functions of all variables: (q55,q49,q40,q36,q25,q21,q9,p8,p7) is replaced by e_1361: 5 terms, 10 factors, with derivatives of functions of all variables: (q49,q40,q36,q25,q21,p8,p7) Step 1216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1336 31-Oct-2003 20:38:39, 60 ms (0%), 1813029 occupied, 23186892 free *** Garbage collection starting *** GC 1337 31-Oct-2003 20:38:39, 60 ms (0%), 1813731 occupied, 23186190 free *** Garbage collection starting *** GC 1338 31-Oct-2003 20:38:40, 50 ms (0%), 1813891 occupied, 23186030 free *** Garbage collection starting *** GC 1339 31-Oct-2003 20:38:41, 60 ms (0%), 1814333 occupied, 23185588 free *** Garbage collection starting *** GC 1340 31-Oct-2003 20:38:42, 70 ms (0%), 1814469 occupied, 23185452 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1440. e_1440: 7 terms, 14 factors, with derivatives of functions of all variables: (q76,q64,q63,q59,q39,q26,q10,p8,p7) is replaced by e_1432: 5 terms, 10 factors, with derivatives of functions of all variables: (q64,q59,q39,q26,q10,p8,p7) Step 1217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1341 31-Oct-2003 20:38:42, 60 ms (0%), 1812955 occupied, 23186966 free *** Garbage collection starting *** GC 1342 31-Oct-2003 20:38:43, 60 ms (0%), 1814031 occupied, 23185890 free *** Garbage collection starting *** GC 1343 31-Oct-2003 20:38:44, 60 ms (0%), 1814287 occupied, 23185634 free *** Garbage collection starting *** GC 1344 31-Oct-2003 20:38:45, 50 ms (0%), 1814587 occupied, 23185334 free *** Garbage collection starting *** GC 1345 31-Oct-2003 20:38:46, 70 ms (0%), 1814813 occupied, 23185108 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_836. e_836: 5 terms, 10 factors, with derivatives of functions of all variables: (q62,q57,q55,q49,q9,p8,p7) is replaced by e_704: 5 terms, 10 factors, with derivatives of functions of all variables: (q62,q57,q49,q36,q9,p8,p7) Step 1218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1346 31-Oct-2003 20:38:46, 70 ms (0%), 1813167 occupied, 23186754 free *** Garbage collection starting *** GC 1347 31-Oct-2003 20:38:47, 70 ms (0%), 1814095 occupied, 23185826 free *** Garbage collection starting *** GC 1348 31-Oct-2003 20:38:48, 50 ms (0%), 1814633 occupied, 23185288 free *** Garbage collection starting *** GC 1349 31-Oct-2003 20:38:49, 50 ms (0%), 1814801 occupied, 23185120 free *** Garbage collection starting *** GC 1350 31-Oct-2003 20:38:50, 60 ms (0%), 1815015 occupied, 23184906 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1453. e_1453: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q58,q57,q55,q49,q40,q36,q27,q9,p8,p7) is replaced by e_1329: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q58,q57,q49,q40,q36,q27,q9,p8,p7) Step 1219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1351 31-Oct-2003 20:38:51, 70 ms (0%), 1813261 occupied, 23186660 free *** Garbage collection starting *** GC 1352 31-Oct-2003 20:38:52, 50 ms (0%), 1814475 occupied, 23185446 free *** Garbage collection starting *** GC 1353 31-Oct-2003 20:38:53, 60 ms (0%), 1815283 occupied, 23184638 free *** Garbage collection starting *** GC 1354 31-Oct-2003 20:38:54, 50 ms (0%), 1815721 occupied, 23184200 free *** Garbage collection starting *** GC 1355 31-Oct-2003 20:38:54, 60 ms (0%), 1815895 occupied, 23184026 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1376 and e_1352. e_1352: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q62,q58,q55,q50,q40,q27,q25,q9,p8,p7) is replaced by e_1282: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q50,q40,q27,q25,q9,p8,p7) Step 1220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1356 31-Oct-2003 20:38:55, 60 ms (0%), 1814413 occupied, 23185508 free *** Garbage collection starting *** GC 1357 31-Oct-2003 20:38:56, 60 ms (0%), 1814925 occupied, 23184996 free *** Garbage collection starting *** GC 1358 31-Oct-2003 20:38:57, 70 ms (0%), 1815127 occupied, 23184794 free *** Garbage collection starting *** GC 1359 31-Oct-2003 20:38:58, 70 ms (0%), 1815541 occupied, 23184380 free *** Garbage collection starting *** GC 1360 31-Oct-2003 20:38:58, 60 ms (0%), 1815933 occupied, 23183988 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1282. e_1282: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q50,q40,q27,q25,q9,p8,p7) is replaced by e_1456: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q40,q27,q25,q22,q9,p8,p7) Step 1221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1361 31-Oct-2003 20:38:59, 60 ms (0%), 1814327 occupied, 23185594 free *** Garbage collection starting *** GC 1362 31-Oct-2003 20:39:00, 60 ms (0%), 1815139 occupied, 23184782 free *** Garbage collection starting *** GC 1363 31-Oct-2003 20:39:01, 60 ms (0%), 1815731 occupied, 23184190 free *** Garbage collection starting *** GC 1364 31-Oct-2003 20:39:02, 60 ms (0%), 1816243 occupied, 23183678 free *** Garbage collection starting *** GC 1365 31-Oct-2003 20:39:02, 50 ms (0%), 1816363 occupied, 23183558 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1456. e_1456: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q40,q27,q25,q22,q9,p8,p7) is replaced by e_1328: 5 terms, 10 factors, with derivatives of functions of all variables: (q40,q36,q27,q25,q22,p8,p7) Step 1222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1366 31-Oct-2003 20:39:03, 70 ms (0%), 1814349 occupied, 23185572 free *** Garbage collection starting *** GC 1367 31-Oct-2003 20:39:04, 60 ms (0%), 1815189 occupied, 23184732 free *** Garbage collection starting *** GC 1368 31-Oct-2003 20:39:05, 60 ms (0%), 1815437 occupied, 23184484 free *** Garbage collection starting *** GC 1369 31-Oct-2003 20:39:06, 60 ms (0%), 1815785 occupied, 23184136 free *** Garbage collection starting *** GC 1370 31-Oct-2003 20:39:06, 70 ms (0%), 1816059 occupied, 23183862 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1292 and e_1571. e_1571: 6 terms, 12 factors, with derivatives of functions of all variables: (q81,q80,q42,q25,q6,q3,p8,p7) is replaced by e_1272: 6 terms, 12 factors, with derivatives of functions of all variables: (q81,q42,q25,q7,q6,q3,p8,p7) Step 1223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1371 31-Oct-2003 20:39:07, 50 ms (0%), 1814203 occupied, 23185717 free *** Garbage collection starting *** GC 1372 31-Oct-2003 20:39:08, 60 ms (0%), 1815103 occupied, 23184817 free *** Garbage collection starting *** GC 1373 31-Oct-2003 20:39:09, 60 ms (0%), 1815829 occupied, 23184091 free *** Garbage collection starting *** GC 1374 31-Oct-2003 20:39:10, 60 ms (0%), 1816299 occupied, 23183621 free *** Garbage collection starting *** GC 1375 31-Oct-2003 20:39:10, 60 ms (0%), 1816713 occupied, 23183207 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1356 and e_1013. e_1013: 6 terms, 12 factors, with derivatives of functions of all variables: (q69,q68,q46,q44,q29,q2,p8,p7) is replaced by e_1473: 6 terms, 12 factors, with derivatives of functions of all variables: (q69,q68,q46,q29,q28,q2,p8,p7) Step 1224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1376 31-Oct-2003 20:39:11, 50 ms (0%), 1814979 occupied, 23184943 free *** Garbage collection starting *** GC 1377 31-Oct-2003 20:39:12, 70 ms (0%), 1816283 occupied, 23183639 free *** Garbage collection starting *** GC 1378 31-Oct-2003 20:39:13, 70 ms (0%), 1816855 occupied, 23183067 free *** Garbage collection starting *** GC 1379 31-Oct-2003 20:39:14, 60 ms (0%), 1817161 occupied, 23182761 free *** Garbage collection starting *** GC 1380 31-Oct-2003 20:39:15, 60 ms (0%), 1817311 occupied, 23182611 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1381. e_1381: 6 terms, 12 factors, with derivatives of functions of all variables: (q49,q40,q27,q25,q22,q9,p8,p7) is replaced by e_1442: 6 terms, 12 factors, with derivatives of functions of all variables: (q49,q36,q27,q25,q22,q9,p8,p7) Step 1225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1381 31-Oct-2003 20:39:16, 70 ms (0%), 1815805 occupied, 23184114 free *** Garbage collection starting *** GC 1382 31-Oct-2003 20:39:16, 60 ms (0%), 1816259 occupied, 23183660 free *** Garbage collection starting *** GC 1383 31-Oct-2003 20:39:17, 60 ms (0%), 1816497 occupied, 23183422 free *** Garbage collection starting *** GC 1384 31-Oct-2003 20:39:18, 50 ms (0%), 1816873 occupied, 23183046 free *** Garbage collection starting *** GC 1385 31-Oct-2003 20:39:19, 70 ms (0%), 1817411 occupied, 23182508 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1508. e_1508: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q49,q40,q27,q25,q22,p8,p7) is replaced by e_1155: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q49,q36,q27,q25,q22,p8,p7) Step 1226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1386 31-Oct-2003 20:39:20, 50 ms (0%), 1815167 occupied, 23184755 free *** Garbage collection starting *** GC 1387 31-Oct-2003 20:39:20, 50 ms (0%), 1816291 occupied, 23183631 free *** Garbage collection starting *** GC 1388 31-Oct-2003 20:39:21, 60 ms (0%), 1816805 occupied, 23183117 free *** Garbage collection starting *** GC 1389 31-Oct-2003 20:39:22, 60 ms (0%), 1817453 occupied, 23182469 free *** Garbage collection starting *** GC 1390 31-Oct-2003 20:39:23, 60 ms (0%), 1817769 occupied, 23182153 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1155. e_1155: 6 terms, 12 factors, with derivatives of functions of all variables: (q55,q49,q36,q27,q25,q22,p8,p7) is replaced by e_1315: 6 terms, 12 factors, with derivatives of functions of all variables: (q49,q36,q27,q25,q22,q9,p8,p7) e_1315 is a consequence of e_1442. Step 1227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1391 31-Oct-2003 20:39:24, 70 ms (0%), 1816309 occupied, 23183613 free *** Garbage collection starting *** GC 1392 31-Oct-2003 20:39:25, 60 ms (0%), 1816931 occupied, 23182991 free *** Garbage collection starting *** GC 1393 31-Oct-2003 20:39:25, 50 ms (0%), 1817159 occupied, 23182763 free *** Garbage collection starting *** GC 1394 31-Oct-2003 20:39:26, 70 ms (0%), 1817507 occupied, 23182415 free *** Garbage collection starting *** GC 1395 31-Oct-2003 20:39:27, 70 ms (0%), 1817775 occupied, 23182147 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1376 and e_1362. e_1362: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q62,q58,q55,q40,q27,q25,q24,q21,q9,p8,p7) is replaced by e_1330: 7 terms, 14 factors, with derivatives of functions of all variables: (q55,q40,q27,q25,q24,q21,q9,p8,p7) Step 1228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1396 31-Oct-2003 20:39:28, 60 ms (0%), 1815195 occupied, 23184727 free *** Garbage collection starting *** GC 1397 31-Oct-2003 20:39:29, 60 ms (0%), 1815847 occupied, 23184075 free *** Garbage collection starting *** GC 1398 31-Oct-2003 20:39:30, 60 ms (0%), 1816533 occupied, 23183389 free *** Garbage collection starting *** GC 1399 31-Oct-2003 20:39:30, 70 ms (0%), 1817217 occupied, 23182705 free *** Garbage collection starting *** GC 1400 31-Oct-2003 20:39:31, 60 ms (0%), 1817573 occupied, 23182349 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1517. e_1517: 10 terms, 20 factors, with derivatives of functions of all variables: (q77,q76,q63,q59,q54,q48,q41,q26,q10,q7,p8,p7) is replaced by e_755: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q63,q59,q54,q48,q41,q26,q10,q7,p8,p7) Step 1229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1401 31-Oct-2003 20:39:32, 70 ms (0%), 1815997 occupied, 23183925 free *** Garbage collection starting *** GC 1402 31-Oct-2003 20:39:33, 50 ms (0%), 1817213 occupied, 23182709 free *** Garbage collection starting *** GC 1403 31-Oct-2003 20:39:34, 60 ms (0%), 1817795 occupied, 23182127 free *** Garbage collection starting *** GC 1404 31-Oct-2003 20:39:35, 80 ms (0%), 1817981 occupied, 23181941 free *** Garbage collection starting *** GC 1405 31-Oct-2003 20:39:35, 70 ms (0%), 1818219 occupied, 23181703 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1330. e_1330: 7 terms, 14 factors, with derivatives of functions of all variables: (q55,q40,q27,q25,q24,q21,q9,p8,p7) is replaced by e_218: 6 terms, 12 factors, with derivatives of functions of all variables: (q40,q36,q27,q25,q24,q21,p8,p7) Step 1230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1406 31-Oct-2003 20:39:36, 60 ms (0%), 1816669 occupied, 23183253 free *** Garbage collection starting *** GC 1407 31-Oct-2003 20:39:37, 50 ms (0%), 1817185 occupied, 23182737 free *** Garbage collection starting *** GC 1408 31-Oct-2003 20:39:38, 70 ms (0%), 1817675 occupied, 23182247 free *** Garbage collection starting *** GC 1409 31-Oct-2003 20:39:39, 70 ms (0%), 1818267 occupied, 23181655 free *** Garbage collection starting *** GC 1410 31-Oct-2003 20:39:40, 50 ms (0%), 1818481 occupied, 23181441 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_218. e_218: 6 terms, 12 factors, with derivatives of functions of all variables: (q40,q36,q27,q25,q24,q21,p8,p7) is replaced by e_1345: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q25,q24,q22,q21,p8,p7) Step 1231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1411 31-Oct-2003 20:39:41, 60 ms (0%), 1815291 occupied, 23184631 free *** Garbage collection starting *** GC 1412 31-Oct-2003 20:39:42, 60 ms (0%), 1816547 occupied, 23183375 free *** Garbage collection starting *** GC 1413 31-Oct-2003 20:39:42, 60 ms (0%), 1817381 occupied, 23182541 free *** Garbage collection starting *** GC 1414 31-Oct-2003 20:39:43, 60 ms (0%), 1817877 occupied, 23182045 free *** Garbage collection starting *** GC 1415 31-Oct-2003 20:39:44, 50 ms (0%), 1818015 occupied, 23181907 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q73 from e_1423 and e_1206. e_1206: 7 terms, 14 factors, with derivatives of functions of all variables: (q73,q71,q70,q69,q68,q51,q46,p8,p7) is replaced by e_1438: 6 terms, 12 factors, with derivatives of functions of all variables: (q70,q69,q68,q51,q46,q2,p8,p7) Step 1232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1416 31-Oct-2003 20:39:45, 60 ms (0%), 1816615 occupied, 23183307 free *** Garbage collection starting *** GC 1417 31-Oct-2003 20:39:46, 70 ms (0%), 1818277 occupied, 23181645 free *** Garbage collection starting *** GC 1418 31-Oct-2003 20:39:47, 50 ms (0%), 1818669 occupied, 23181253 free *** Garbage collection starting *** GC 1419 31-Oct-2003 20:39:47, 70 ms (0%), 1818899 occupied, 23181023 free *** Garbage collection starting *** GC 1420 31-Oct-2003 20:39:48, 60 ms (0%), 1819087 occupied, 23180835 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1138. e_1138: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q40,q27,q25,q22,p8,p7) is replaced by e_227: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q36,q27,q25,q22,p8,p7) Step 1233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1421 31-Oct-2003 20:39:49, 70 ms (0%), 1816523 occupied, 23183399 free *** Garbage collection starting *** GC 1422 31-Oct-2003 20:39:50, 50 ms (0%), 1817115 occupied, 23182807 free *** Garbage collection starting *** GC 1423 31-Oct-2003 20:39:51, 50 ms (0%), 1817789 occupied, 23182133 free *** Garbage collection starting *** GC 1424 31-Oct-2003 20:39:52, 60 ms (0%), 1818455 occupied, 23181467 free *** Garbage collection starting *** GC 1425 31-Oct-2003 20:39:53, 70 ms (0%), 1818801 occupied, 23181121 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q75 from e_1497 and e_1441. e_1441: 7 terms, 14 factors, with derivatives of functions of all variables: (q75,q63,q62,q58,q40,q27,q8,p8,p7) is replaced by e_1416: 6 terms, 12 factors, with derivatives of functions of all variables: (q63,q58,q40,q27,q8,q5,p8,p7) Step 1234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1426 31-Oct-2003 20:39:54, 60 ms (0%), 1816917 occupied, 23183004 free *** Garbage collection starting *** GC 1427 31-Oct-2003 20:39:54, 50 ms (0%), 1818287 occupied, 23181633 free *** Garbage collection starting *** GC 1428 31-Oct-2003 20:39:55, 70 ms (0%), 1818939 occupied, 23180981 free *** Garbage collection starting *** GC 1429 31-Oct-2003 20:39:56, 60 ms (0%), 1819223 occupied, 23180697 free *** Garbage collection starting *** GC 1430 31-Oct-2003 20:39:57, 60 ms (0%), 1819553 occupied, 23180367 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1416. e_1416: 6 terms, 12 factors, with derivatives of functions of all variables: (q63,q58,q40,q27,q8,q5,p8,p7) is replaced by e_1333: 5 terms, 10 factors, with derivatives of functions of all variables: (q63,q58,q40,q27,q7,p8,p7) Step 1235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1431 31-Oct-2003 20:39:58, 70 ms (0%), 1816585 occupied, 23183337 free *** Garbage collection starting *** GC 1432 31-Oct-2003 20:39:59, 70 ms (0%), 1817807 occupied, 23182115 free *** Garbage collection starting *** GC 1433 31-Oct-2003 20:40:00, 50 ms (0%), 1818157 occupied, 23181765 free *** Garbage collection starting *** GC 1434 31-Oct-2003 20:40:00, 70 ms (0%), 1818437 occupied, 23181485 free *** Garbage collection starting *** GC 1435 31-Oct-2003 20:40:01, 50 ms (0%), 1818939 occupied, 23180983 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1442 and e_227. e_227: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q36,q27,q25,q22,p8,p7) is replaced by e_1351: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q36,q27,q25,q22,q9,p8,p7) Step 1236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1436 31-Oct-2003 20:40:02, 60 ms (0%), 1817347 occupied, 23182574 free *** Garbage collection starting *** GC 1437 31-Oct-2003 20:40:03, 70 ms (0%), 1818169 occupied, 23181752 free *** Garbage collection starting *** GC 1438 31-Oct-2003 20:40:04, 60 ms (0%), 1818961 occupied, 23180960 free *** Garbage collection starting *** GC 1439 31-Oct-2003 20:40:05, 70 ms (0%), 1819239 occupied, 23180682 free *** Garbage collection starting *** GC 1440 31-Oct-2003 20:40:06, 60 ms (0%), 1819801 occupied, 23180120 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1376 and e_538. e_538: 11 terms, 22 factors, with derivatives of functions of all variables: (q78,q62,q58,q42,q40,q36,q27,q22,q7,q5,q4,p8,p7) is replaced by e_1022: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q40,q36,q27,q22,q7,q5,q4,p8,p7) Step 1237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1441 31-Oct-2003 20:40:07, 70 ms (0%), 1817843 occupied, 23182078 free *** Garbage collection starting *** GC 1442 31-Oct-2003 20:40:07, 60 ms (0%), 1819447 occupied, 23180474 free *** Garbage collection starting *** GC 1443 31-Oct-2003 20:40:08, 60 ms (0%), 1819905 occupied, 23180016 free *** Garbage collection starting *** GC 1444 31-Oct-2003 20:40:09, 60 ms (0%), 1820231 occupied, 23179690 free *** Garbage collection starting *** GC 1445 31-Oct-2003 20:40:10, 60 ms (0%), 1820363 occupied, 23179558 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1105. e_1105: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q76,q63,q59,q53,q48,q39,q26,q24,q23,q10,p8,p7) is replaced by e_1444: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q53,q48,q39,q26,q24,q23,q10,p8,p7) Step 1238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1446 31-Oct-2003 20:40:11, 50 ms (0%), 1817589 occupied, 23182333 free *** Garbage collection starting *** GC 1447 31-Oct-2003 20:40:12, 60 ms (0%), 1819055 occupied, 23180867 free *** Garbage collection starting *** GC 1448 31-Oct-2003 20:40:13, 50 ms (0%), 1819787 occupied, 23180135 free *** Garbage collection starting *** GC 1449 31-Oct-2003 20:40:14, 60 ms (0%), 1820071 occupied, 23179851 free *** Garbage collection starting *** GC 1450 31-Oct-2003 20:40:14, 50 ms (0%), 1820489 occupied, 23179433 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1101 and e_1464. e_1464: 11 terms, 22 factors, with derivatives of functions of all variables: (q81,q80,q79,q78,q76,q56,q53,q49,q48,q23,q21,p8,p7) is replaced by e_1439: 10 terms, 20 factors, with derivatives of functions of all variables: (q81,q79,q78,q76,q56,q53,q49,q48,q23,q21,p8,p7) Step 1239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1451 31-Oct-2003 20:40:15, 70 ms (0%), 1818187 occupied, 23181735 free *** Garbage collection starting *** GC 1452 31-Oct-2003 20:40:16, 60 ms (0%), 1819455 occupied, 23180467 free *** Garbage collection starting *** GC 1453 31-Oct-2003 20:40:17, 50 ms (0%), 1820063 occupied, 23179859 free *** Garbage collection starting *** GC 1454 31-Oct-2003 20:40:18, 60 ms (0%), 1820481 occupied, 23179441 free *** Garbage collection starting *** GC 1455 31-Oct-2003 20:40:19, 70 ms (0%), 1820679 occupied, 23179243 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1292 and e_1451. e_1451: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q56,q49,q42,q27,q25,q21,q7,p8,p7) is replaced by e_1363: 8 terms, 16 factors, with derivatives of functions of all variables: (q56,q49,q42,q27,q25,q21,q7,q3,p8,p7) Step 1240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1456 31-Oct-2003 20:40:20, 60 ms (0%), 1818115 occupied, 23181807 free *** Garbage collection starting *** GC 1457 31-Oct-2003 20:40:21, 60 ms (0%), 1819935 occupied, 23179987 free *** Garbage collection starting *** GC 1458 31-Oct-2003 20:40:22, 70 ms (0%), 1820167 occupied, 23179755 free *** Garbage collection starting *** GC 1459 31-Oct-2003 20:40:23, 60 ms (0%), 1820737 occupied, 23179185 free *** Garbage collection starting *** GC 1460 31-Oct-2003 20:40:23, 70 ms (0%), 1820977 occupied, 23178945 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1022. e_1022: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q40,q36,q27,q22,q7,q5,q4,p8,p7) is replaced by e_1178: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q36,q27,q25,q22,q7,q5,q4,p8,p7) Step 1241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1461 31-Oct-2003 20:40:24, 60 ms (0%), 1818539 occupied, 23181382 free *** Garbage collection starting *** GC 1462 31-Oct-2003 20:40:25, 70 ms (0%), 1819615 occupied, 23180306 free *** Garbage collection starting *** GC 1463 31-Oct-2003 20:40:26, 50 ms (0%), 1820191 occupied, 23179730 free *** Garbage collection starting *** GC 1464 31-Oct-2003 20:40:27, 50 ms (0%), 1820745 occupied, 23179176 free *** Garbage collection starting *** GC 1465 31-Oct-2003 20:40:28, 60 ms (0%), 1821225 occupied, 23178696 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1274 and e_1329. e_1329: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q58,q57,q49,q40,q36,q27,q9,p8,p7) is replaced by e_1500: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q40,q36,q27,q25,p8,p7) Step 1242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1466 31-Oct-2003 20:40:29, 70 ms (0%), 1818577 occupied, 23181345 free *** Garbage collection starting *** GC 1467 31-Oct-2003 20:40:30, 60 ms (0%), 1820063 occupied, 23179859 free *** Garbage collection starting *** GC 1468 31-Oct-2003 20:40:31, 60 ms (0%), 1821067 occupied, 23178855 free *** Garbage collection starting *** GC 1469 31-Oct-2003 20:40:32, 60 ms (0%), 1821261 occupied, 23178661 free *** Garbage collection starting *** GC 1470 31-Oct-2003 20:40:33, 60 ms (0%), 1821505 occupied, 23178417 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1500. e_1500: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q40,q36,q27,q25,p8,p7) is replaced by e_1256: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q36,q27,q25,q22,p8,p7) Step 1243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1471 31-Oct-2003 20:40:34, 60 ms (0%), 1818879 occupied, 23181043 free *** Garbage collection starting *** GC 1472 31-Oct-2003 20:40:34, 60 ms (0%), 1819193 occupied, 23180729 free *** Garbage collection starting *** GC 1473 31-Oct-2003 20:40:35, 60 ms (0%), 1819855 occupied, 23180067 free *** Garbage collection starting *** GC 1474 31-Oct-2003 20:40:36, 50 ms (0%), 1820463 occupied, 23179459 free *** Garbage collection starting *** GC 1475 31-Oct-2003 20:40:37, 60 ms (0%), 1821123 occupied, 23178799 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1442 and e_1256. e_1256: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q49,q36,q27,q25,q22,p8,p7) is replaced by e_1434: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q36,q27,q25,q22,q9,p8,p7) e_1434 is a consequence of e_1351. 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 : *** Garbage collection starting *** GC 1476 31-Oct-2003 20:40:38, 50 ms (0%), 1819577 occupied, 23180344 free *** Garbage collection starting *** GC 1477 31-Oct-2003 20:40:39, 70 ms (0%), 1820463 occupied, 23179458 free *** Garbage collection starting *** GC 1478 31-Oct-2003 20:40:40, 60 ms (0%), 1821093 occupied, 23178828 free *** Garbage collection starting *** GC 1479 31-Oct-2003 20:40:41, 60 ms (0%), 1821321 occupied, 23178600 free *** Garbage collection starting *** GC 1480 31-Oct-2003 20:40:42, 60 ms (0%), 1821483 occupied, 23178438 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1488. e_1488: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q58,q57,q55,q49,q40,q25,q21,q9,p8,p7) is replaced by e_1303: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q58,q57,q49,q40,q36,q25,q21,q9,p8,p7) 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 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 : *** Garbage collection starting *** GC 1481 31-Oct-2003 20:40:43, 60 ms (0%), 1818291 occupied, 23181631 free *** Garbage collection starting *** GC 1482 31-Oct-2003 20:40:44, 60 ms (0%), 1819909 occupied, 23180013 free *** Garbage collection starting *** GC 1483 31-Oct-2003 20:40:45, 60 ms (0%), 1820251 occupied, 23179671 free *** Garbage collection starting *** GC 1484 31-Oct-2003 20:40:46, 60 ms (0%), 1821001 occupied, 23178921 free *** Garbage collection starting *** GC 1485 31-Oct-2003 20:40:47, 60 ms (0%), 1821219 occupied, 23178703 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1361 and e_1535. e_1535: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q58,q57,q49,q40,q25,q21,q9,p8,p7) is replaced by e_1521: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q58,q57,q40,q36,q25,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1486 31-Oct-2003 20:40:48, 60 ms (0%), 1819401 occupied, 23180521 free *** Garbage collection starting *** GC 1487 31-Oct-2003 20:40:49, 70 ms (0%), 1820529 occupied, 23179393 free *** Garbage collection starting *** GC 1488 31-Oct-2003 20:40:50, 70 ms (0%), 1821157 occupied, 23178765 free *** Garbage collection starting *** GC 1489 31-Oct-2003 20:40:51, 70 ms (0%), 1821713 occupied, 23178209 free *** Garbage collection starting *** GC 1490 31-Oct-2003 20:40:52, 60 ms (0%), 1822237 occupied, 23177685 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1274 and e_1521. e_1521: 8 terms, 16 factors, with derivatives of functions of all variables: (q78,q58,q57,q40,q36,q25,q21,q9,p8,p7) is replaced by e_1519: 8 terms, 16 factors, with derivatives of functions of all variables: (q58,q57,q40,q36,q27,q25,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1491 31-Oct-2003 20:40:53, 50 ms (0%), 1819663 occupied, 23180255 free *** Garbage collection starting *** GC 1492 31-Oct-2003 20:40:53, 60 ms (0%), 1821103 occupied, 23178815 free *** Garbage collection starting *** GC 1493 31-Oct-2003 20:40:54, 60 ms (0%), 1822123 occupied, 23177795 free *** Garbage collection starting *** GC 1494 31-Oct-2003 20:40:55, 70 ms (0%), 1822303 occupied, 23177615 free *** Garbage collection starting *** GC 1495 31-Oct-2003 20:40:56, 80 ms (0%), 1822495 occupied, 23177423 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1519. e_1519: 8 terms, 16 factors, with derivatives of functions of all variables: (q58,q57,q40,q36,q27,q25,q21,q9,p8,p7) is replaced by e_1199: 8 terms, 16 factors, with derivatives of functions of all variables: (q58,q57,q36,q27,q25,q22,q21,q9,p8,p7) 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 3 terms 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 : *** Garbage collection starting *** GC 1496 31-Oct-2003 20:40:57, 60 ms (0%), 1819171 occupied, 23180751 free *** Garbage collection starting *** GC 1497 31-Oct-2003 20:40:58, 50 ms (0%), 1819525 occupied, 23180397 free *** Garbage collection starting *** GC 1498 31-Oct-2003 20:40:59, 60 ms (0%), 1820221 occupied, 23179701 free *** Garbage collection starting *** GC 1499 31-Oct-2003 20:41:00, 60 ms (0%), 1820853 occupied, 23179068 free *** Garbage collection starting *** GC 1500 31-Oct-2003 20:41:01, 60 ms (0%), 1821597 occupied, 23178324 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q58 from e_985 and e_1351. e_1351: 7 terms, 14 factors, with derivatives of functions of all variables: (q58,q57,q36,q27,q25,q22,q9,p8,p7) is replaced by e_807: 6 terms, 12 factors, with derivatives of functions of all variables: (q36,q27,q25,q22,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1501 31-Oct-2003 20:41:02, 60 ms (0%), 1820097 occupied, 23179824 free *** Garbage collection starting *** GC 1502 31-Oct-2003 20:41:03, 60 ms (0%), 1821289 occupied, 23178632 free *** Garbage collection starting *** GC 1503 31-Oct-2003 20:41:04, 60 ms (0%), 1822283 occupied, 23177638 free *** Garbage collection starting *** GC 1504 31-Oct-2003 20:41:05, 70 ms (0%), 1822797 occupied, 23177124 free *** Garbage collection starting *** GC 1505 31-Oct-2003 20:41:06, 60 ms (0%), 1823021 occupied, 23176900 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_1345 and e_807. e_807: 6 terms, 12 factors, with derivatives of functions of all variables: (q36,q27,q25,q22,q21,q9,p8,p7) is replaced by e_1116: 6 terms, 12 factors, with derivatives of functions of all variables: (q36,q25,q24,q22,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1506 31-Oct-2003 20:41:07, 60 ms (0%), 1820359 occupied, 23179563 free *** Garbage collection starting *** GC 1507 31-Oct-2003 20:41:08, 60 ms (0%), 1821987 occupied, 23177935 free *** Garbage collection starting *** GC 1508 31-Oct-2003 20:41:09, 60 ms (0%), 1822271 occupied, 23177651 free *** Garbage collection starting *** GC 1509 31-Oct-2003 20:41:09, 60 ms (0%), 1822567 occupied, 23177355 free *** Garbage collection starting *** GC 1510 31-Oct-2003 20:41:10, 70 ms (0%), 1823069 occupied, 23176853 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1292 and e_1450. e_1450: 9 terms, 18 factors, with derivatives of functions of all variables: (q80,q56,q49,q42,q40,q37,q25,q6,q3,p8,p7) is replaced by e_191: 9 terms, 18 factors, with derivatives of functions of all variables: (q56,q49,q42,q40,q37,q25,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1511 31-Oct-2003 20:41:11, 70 ms (0%), 1820719 occupied, 23179202 free *** Garbage collection starting *** GC 1512 31-Oct-2003 20:41:12, 60 ms (0%), 1821751 occupied, 23178170 free *** Garbage collection starting *** GC 1513 31-Oct-2003 20:41:13, 70 ms (0%), 1822503 occupied, 23177418 free *** Garbage collection starting *** GC 1514 31-Oct-2003 20:41:14, 70 ms (0%), 1822899 occupied, 23177022 free *** Garbage collection starting *** GC 1515 31-Oct-2003 20:41:15, 70 ms (0%), 1823395 occupied, 23176526 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1280. e_1280: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q76,q63,q59,q56,q49,q42,q26,q24,q23,q22,q21,q7,p8,p7) is replaced by e_1341: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q56,q49,q42,q26,q24,q23,q22,q21,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1516 31-Oct-2003 20:41:16, 70 ms (0%), 1820895 occupied, 23179027 free *** Garbage collection starting *** GC 1517 31-Oct-2003 20:41:17, 50 ms (0%), 1822509 occupied, 23177413 free *** Garbage collection starting *** GC 1518 31-Oct-2003 20:41:18, 60 ms (0%), 1823373 occupied, 23176549 free *** Garbage collection starting *** GC 1519 31-Oct-2003 20:41:19, 50 ms (0%), 1823575 occupied, 23176347 free *** Garbage collection starting *** GC 1520 31-Oct-2003 20:41:20, 60 ms (0%), 1823761 occupied, 23176161 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1301. e_1301: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q76,q63,q59,q53,q48,q41,q39,q37,q26,q10,q8,q6,p8,p7) is replaced by e_979: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q53,q48,q41,q39,q37,q26,q10,q8,q6,p8,p7) 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 : *** Garbage collection starting *** GC 1521 31-Oct-2003 20:41:21, 60 ms (0%), 1821117 occupied, 23178805 free *** Garbage collection starting *** GC 1522 31-Oct-2003 20:41:22, 60 ms (0%), 1821503 occupied, 23178419 free *** Garbage collection starting *** GC 1523 31-Oct-2003 20:41:23, 60 ms (0%), 1822167 occupied, 23177755 free *** Garbage collection starting *** GC 1524 31-Oct-2003 20:41:24, 70 ms (0%), 1822895 occupied, 23177027 free *** Garbage collection starting *** GC 1525 31-Oct-2003 20:41:25, 60 ms (0%), 1823557 occupied, 23176365 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q75 from e_1497 and e_952. e_952: 9 terms, 18 factors, with derivatives of functions of all variables: (q75,q62,q58,q55,q42,q40,q27,q22,q7,p8,p7) is replaced by e_1073: 7 terms, 14 factors, with derivatives of functions of all variables: (q55,q42,q40,q27,q22,q7,q5,p8,p7) 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 : *** Garbage collection starting *** GC 1526 31-Oct-2003 20:41:26, 70 ms (0%), 1821239 occupied, 23178683 free *** Garbage collection starting *** GC 1527 31-Oct-2003 20:41:27, 60 ms (0%), 1822389 occupied, 23177533 free *** Garbage collection starting *** GC 1528 31-Oct-2003 20:41:28, 60 ms (0%), 1823337 occupied, 23176585 free *** Garbage collection starting *** GC 1529 31-Oct-2003 20:41:29, 50 ms (0%), 1823977 occupied, 23175945 free *** Garbage collection starting *** GC 1530 31-Oct-2003 20:41:30, 60 ms (0%), 1824171 occupied, 23175751 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1376 and e_1507. e_1507: 14 terms, 28 factors, with derivatives of functions of all variables: (q78,q62,q58,q54,q53,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7) is replaced by e_1430: 11 terms, 22 factors, with derivatives of functions of all variables: (q54,q53,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1531 31-Oct-2003 20:41:32, 60 ms (0%), 1821333 occupied, 23178589 free *** Garbage collection starting *** GC 1532 31-Oct-2003 20:41:33, 70 ms (0%), 1821811 occupied, 23178111 free *** Garbage collection starting *** GC 1533 31-Oct-2003 20:41:34, 70 ms (0%), 1823441 occupied, 23176481 free *** Garbage collection starting *** GC 1534 31-Oct-2003 20:41:35, 60 ms (0%), 1823865 occupied, 23176057 free *** Garbage collection starting *** GC 1535 31-Oct-2003 20:41:36, 60 ms (0%), 1824307 occupied, 23175615 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1292 and e_1341. e_1341: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q56,q49,q42,q26,q24,q23,q22,q21,q7,p8,p7) is replaced by e_1431: 10 terms, 20 factors, with derivatives of functions of all variables: (q56,q49,q42,q26,q24,q23,q22,q21,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1536 31-Oct-2003 20:41:37, 70 ms (0%), 1821889 occupied, 23178031 free *** Garbage collection starting *** GC 1537 31-Oct-2003 20:41:38, 60 ms (0%), 1822801 occupied, 23177119 free *** Garbage collection starting *** GC 1538 31-Oct-2003 20:41:39, 60 ms (0%), 1823455 occupied, 23176465 free *** Garbage collection starting *** GC 1539 31-Oct-2003 20:41:40, 60 ms (0%), 1823939 occupied, 23175981 free *** Garbage collection starting *** GC 1540 31-Oct-2003 20:41:41, 60 ms (0%), 1824421 occupied, 23175499 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1356 and e_1058. e_1058: 10 terms, 20 factors, with derivatives of functions of all variables: (q74,q70,q68,q65,q60,q51,q46,q44,q43,q2,p8,p7) is replaced by e_1321: 10 terms, 20 factors, with derivatives of functions of all variables: (q74,q70,q68,q65,q60,q51,q46,q43,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1541 31-Oct-2003 20:41:42, 70 ms (0%), 1822157 occupied, 23177764 free *** Garbage collection starting *** GC 1542 31-Oct-2003 20:41:43, 60 ms (0%), 1823755 occupied, 23176166 free *** Garbage collection starting *** GC 1543 31-Oct-2003 20:41:44, 60 ms (0%), 1824595 occupied, 23175326 free *** Garbage collection starting *** GC 1544 31-Oct-2003 20:41:45, 80 ms (0%), 1824857 occupied, 23175064 free *** Garbage collection starting *** GC 1545 31-Oct-2003 20:41:46, 50 ms (0%), 1825085 occupied, 23174836 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_1356 and e_1478. e_1478: 10 terms, 20 factors, with derivatives of functions of all variables: (q71,q68,q67,q66,q61,q51,q46,q44,q43,q28,p8,p7) is replaced by e_1283: 10 terms, 20 factors, with derivatives of functions of all variables: (q71,q68,q67,q66,q61,q51,q46,q43,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1546 31-Oct-2003 20:41:48, 60 ms (0%), 1822427 occupied, 23177495 free *** Garbage collection starting *** GC 1547 31-Oct-2003 20:41:49, 60 ms (0%), 1824145 occupied, 23175777 free *** Garbage collection starting *** GC 1548 31-Oct-2003 20:41:50, 60 ms (0%), 1824355 occupied, 23175567 free *** Garbage collection starting *** GC 1549 31-Oct-2003 20:41:51, 60 ms (0%), 1824829 occupied, 23175093 free *** Garbage collection starting *** GC 1550 31-Oct-2003 20:41:52, 60 ms (0%), 1825097 occupied, 23174825 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q70 from e_1438 and e_1321. e_1321: 10 terms, 20 factors, with derivatives of functions of all variables: (q74,q70,q68,q65,q60,q51,q46,q43,q28,q2,p8,p7) is replaced by e_1264: 9 terms, 18 factors, with derivatives of functions of all variables: (q74,q69,q68,q65,q60,q51,q46,q43,q28,p8,p7) Step 1261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1551 31-Oct-2003 20:41:53, 70 ms (0%), 1821827 occupied, 23178095 free *** Garbage collection starting *** GC 1552 31-Oct-2003 20:41:54, 70 ms (0%), 1822889 occupied, 23177033 free *** Garbage collection starting *** GC 1553 31-Oct-2003 20:41:55, 70 ms (0%), 1823637 occupied, 23176285 free *** Garbage collection starting *** GC 1554 31-Oct-2003 20:41:56, 50 ms (0%), 1824187 occupied, 23175735 free *** Garbage collection starting *** GC 1555 31-Oct-2003 20:41:57, 60 ms (0%), 1824727 occupied, 23175195 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1295 and e_1029. e_1029: 10 terms, 20 factors, with derivatives of functions of all variables: (q63,q59,q58,q56,q50,q39,q24,q7,q6,q3,p8,p7) is replaced by e_1212: 10 terms, 20 factors, with derivatives of functions of all variables: (q59,q58,q56,q50,q39,q26,q24,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1556 31-Oct-2003 20:41:58, 60 ms (0%), 1822877 occupied, 23177043 free *** Garbage collection starting *** GC 1557 31-Oct-2003 20:41:59, 60 ms (0%), 1824199 occupied, 23175721 free *** Garbage collection starting *** GC 1558 31-Oct-2003 20:42:00, 70 ms (0%), 1824995 occupied, 23174925 free *** Garbage collection starting *** GC 1559 31-Oct-2003 20:42:01, 70 ms (0%), 1825185 occupied, 23174735 free *** Garbage collection starting *** GC 1560 31-Oct-2003 20:42:02, 60 ms (0%), 1825401 occupied, 23174519 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q68 from e_618 and e_1283. e_1283: 10 terms, 20 factors, with derivatives of functions of all variables: (q71,q68,q67,q66,q61,q51,q46,q43,q28,q2,p8,p7) is replaced by e_1097: 9 terms, 18 factors, with derivatives of functions of all variables: (q71,q67,q66,q65,q51,q46,q43,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1561 31-Oct-2003 20:42:03, 70 ms (0%), 1823043 occupied, 23176879 free *** Garbage collection starting *** GC 1562 31-Oct-2003 20:42:04, 60 ms (0%), 1823599 occupied, 23176323 free *** Garbage collection starting *** GC 1563 31-Oct-2003 20:42:05, 50 ms (0%), 1824229 occupied, 23175693 free *** Garbage collection starting *** GC 1564 31-Oct-2003 20:42:06, 60 ms (0%), 1825125 occupied, 23174797 free *** Garbage collection starting *** GC 1565 31-Oct-2003 20:42:07, 60 ms (0%), 1825595 occupied, 23174327 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1496. e_1496: 15 terms, 30 factors, with derivatives of functions of all variables: (q80,q79,q76,q63,q59,q53,q48,q42,q41,q39,q38,q37,q26,q8,q7,p8,p7) is replaced by e_1271: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q79,q53,q48,q42,q41,q39,q38,q37,q26,q8,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1566 31-Oct-2003 20:42:09, 50 ms (0%), 1823279 occupied, 23176643 free *** Garbage collection starting *** GC 1567 31-Oct-2003 20:42:10, 60 ms (0%), 1824241 occupied, 23175681 free *** Garbage collection starting *** GC 1568 31-Oct-2003 20:42:11, 70 ms (0%), 1825235 occupied, 23174687 free *** Garbage collection starting *** GC 1569 31-Oct-2003 20:42:12, 60 ms (0%), 1825925 occupied, 23173997 free *** Garbage collection starting *** GC 1570 31-Oct-2003 20:42:13, 70 ms (0%), 1826141 occupied, 23173781 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1265. e_1265: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q50,q47,q42,q38,q37,q36,q27,q24,q10,p8,p7) is replaced by e_1257: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q47,q42,q38,q37,q36,q27,q24,q22,q10,p8,p7) 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 : *** Garbage collection starting *** GC 1571 31-Oct-2003 20:42:15, 60 ms (0%), 1823461 occupied, 23176462 free *** Garbage collection starting *** GC 1572 31-Oct-2003 20:42:16, 50 ms (0%), 1824437 occupied, 23175486 free *** Garbage collection starting *** GC 1573 31-Oct-2003 20:42:17, 60 ms (0%), 1825355 occupied, 23174568 free *** Garbage collection starting *** GC 1574 31-Oct-2003 20:42:18, 70 ms (0%), 1825489 occupied, 23174434 free *** Garbage collection starting *** GC 1575 31-Oct-2003 20:42:19, 60 ms (0%), 1825909 occupied, 23174014 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1257. e_1257: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q47,q42,q38,q37,q36,q27,q24,q22,q10,p8,p7) is replaced by e_1047: 10 terms, 20 factors, with derivatives of functions of all variables: (q55,q54,q42,q38,q37,q36,q27,q24,q22,q10,p8,p7) 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 : *** Garbage collection starting *** GC 1576 31-Oct-2003 20:42:20, 60 ms (0%), 1823841 occupied, 23176081 free *** Garbage collection starting *** GC 1577 31-Oct-2003 20:42:21, 60 ms (0%), 1824371 occupied, 23175551 free *** Garbage collection starting *** GC 1578 31-Oct-2003 20:42:22, 70 ms (0%), 1825135 occupied, 23174786 free *** Garbage collection starting *** GC 1579 31-Oct-2003 20:42:23, 80 ms (0%), 1825859 occupied, 23174062 free *** Garbage collection starting *** GC 1580 31-Oct-2003 20:42:24, 70 ms (0%), 1826187 occupied, 23173734 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1047. e_1047: 10 terms, 20 factors, with derivatives of functions of all variables: (q55,q54,q42,q38,q37,q36,q27,q24,q22,q10,p8,p7) is replaced by e_1411: 9 terms, 18 factors, with derivatives of functions of all variables: (q54,q42,q38,q37,q27,q24,q22,q10,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1581 31-Oct-2003 20:42:26, 70 ms (0%), 1824043 occupied, 23175881 free *** Garbage collection starting *** GC 1582 31-Oct-2003 20:42:27, 70 ms (0%), 1825291 occupied, 23174633 free *** Garbage collection starting *** GC 1583 31-Oct-2003 20:42:28, 50 ms (0%), 1826321 occupied, 23173603 free *** Garbage collection starting *** GC 1584 31-Oct-2003 20:42:29, 60 ms (0%), 1826807 occupied, 23173117 free *** Garbage collection starting *** GC 1585 31-Oct-2003 20:42:30, 80 ms (0%), 1826987 occupied, 23172937 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1411. e_1411: 9 terms, 18 factors, with derivatives of functions of all variables: (q54,q42,q38,q37,q27,q24,q22,q10,q9,p8,p7) is replaced by e_1408: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q37,q27,q24,q22,q10,q9,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1586 31-Oct-2003 20:42:31, 60 ms (0%), 1824257 occupied, 23175667 free *** Garbage collection starting *** GC 1587 31-Oct-2003 20:42:32, 70 ms (0%), 1825641 occupied, 23174283 free *** Garbage collection starting *** GC 1588 31-Oct-2003 20:42:33, 50 ms (0%), 1826209 occupied, 23173715 free *** Garbage collection starting *** GC 1589 31-Oct-2003 20:42:34, 60 ms (0%), 1826427 occupied, 23173497 free *** Garbage collection starting *** GC 1590 31-Oct-2003 20:42:35, 70 ms (0%), 1826545 occupied, 23173379 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1240 and e_1408. e_1408: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q37,q27,q24,q22,q10,q9,q8,p8,p7) is replaced by e_1066: 8 terms, 16 factors, with derivatives of functions of all variables: (q42,q37,q27,q24,q22,q9,q8,q4,p8,p7) 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 : *** Garbage collection starting *** GC 1591 31-Oct-2003 20:42:36, 60 ms (0%), 1824517 occupied, 23175407 free *** Garbage collection starting *** GC 1592 31-Oct-2003 20:42:38, 70 ms (0%), 1825183 occupied, 23174741 free *** Garbage collection starting *** GC 1593 31-Oct-2003 20:42:39, 60 ms (0%), 1826135 occupied, 23173789 free *** Garbage collection starting *** GC 1594 31-Oct-2003 20:42:40, 60 ms (0%), 1826945 occupied, 23172979 free *** Garbage collection starting *** GC 1595 31-Oct-2003 20:42:41, 60 ms (0%), 1827153 occupied, 23172771 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1222. e_1222: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q50,q47,q39,q38,q37,q36,q27,q24,q7,p8,p7) is replaced by e_1215: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q47,q39,q38,q37,q36,q27,q24,q22,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1596 31-Oct-2003 20:42:42, 70 ms (0%), 1824865 occupied, 23175058 free *** Garbage collection starting *** GC 1597 31-Oct-2003 20:42:43, 70 ms (0%), 1825687 occupied, 23174236 free *** Garbage collection starting *** GC 1598 31-Oct-2003 20:42:44, 60 ms (0%), 1827027 occupied, 23172896 free *** Garbage collection starting *** GC 1599 31-Oct-2003 20:42:45, 60 ms (0%), 1827309 occupied, 23172614 free *** Garbage collection starting *** GC 1600 31-Oct-2003 20:42:46, 70 ms (0%), 1828057 occupied, 23171866 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1215. e_1215: 11 terms, 22 factors, with derivatives of functions of all variables: (q55,q54,q47,q39,q38,q37,q36,q27,q24,q22,q7,p8,p7) is replaced by e_971: 10 terms, 20 factors, with derivatives of functions of all variables: (q55,q54,q39,q38,q37,q36,q27,q24,q22,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1601 31-Oct-2003 20:42:48, 50 ms (0%), 1825091 occupied, 23174833 free *** Garbage collection starting *** GC 1602 31-Oct-2003 20:42:49, 60 ms (0%), 1825855 occupied, 23174069 free *** Garbage collection starting *** GC 1603 31-Oct-2003 20:42:50, 60 ms (0%), 1826753 occupied, 23173171 free shortening by 1 term Step 1273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 1604 31-Oct-2003 20:42:51, 60 ms (0%), 1824167 occupied, 23175756 free *** Garbage collection starting *** GC 1605 31-Oct-2003 20:42:52, 50 ms (0%), 1824415 occupied, 23175508 free *** Garbage collection starting *** GC 1606 31-Oct-2003 20:42:53, 70 ms (0%), 1824705 occupied, 23175218 free 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 : *** Garbage collection starting *** GC 1607 31-Oct-2003 20:42:54, 70 ms (0%), 1824551 occupied, 23175372 free *** Garbage collection starting *** GC 1608 31-Oct-2003 20:42:55, 60 ms (0%), 1825047 occupied, 23174876 free *** Garbage collection starting *** GC 1609 31-Oct-2003 20:42:56, 60 ms (0%), 1826557 occupied, 23173365 free 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 : *** Garbage collection starting *** GC 1610 31-Oct-2003 20:42:58, 70 ms (0%), 1824301 occupied, 23175622 free *** Garbage collection starting *** GC 1611 31-Oct-2003 20:42:59, 70 ms (0%), 1824785 occupied, 23175138 free 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 : *** Garbage collection starting *** GC 1612 31-Oct-2003 20:43:00, 50 ms (0%), 1824413 occupied, 23175510 free *** Garbage collection starting *** GC 1613 31-Oct-2003 20:43:01, 60 ms (0%), 1824917 occupied, 23175006 free 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 : *** Garbage collection starting *** GC 1614 31-Oct-2003 20:43:02, 70 ms (0%), 1824313 occupied, 23175610 free *** Garbage collection starting *** GC 1615 31-Oct-2003 20:43:03, 80 ms (0%), 1824799 occupied, 23175124 free 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 : *** Garbage collection starting *** GC 1616 31-Oct-2003 20:43:04, 70 ms (0%), 1825493 occupied, 23174430 free *** Garbage collection starting *** GC 1617 31-Oct-2003 20:43:06, 70 ms (0%), 1826839 occupied, 23173084 free 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 : *** Garbage collection starting *** GC 1618 31-Oct-2003 20:43:07, 60 ms (0%), 1824697 occupied, 23175226 free *** Garbage collection starting *** GC 1619 31-Oct-2003 20:43:08, 60 ms (0%), 1826115 occupied, 23173807 free 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 : *** Garbage collection starting *** GC 1620 31-Oct-2003 20:43:09, 60 ms (0%), 1824887 occupied, 23175036 free *** Garbage collection starting *** GC 1621 31-Oct-2003 20:43:10, 60 ms (0%), 1827213 occupied, 23172710 free 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 : *** Garbage collection starting *** GC 1622 31-Oct-2003 20:43:11, 60 ms (0%), 1824609 occupied, 23175314 free *** Garbage collection starting *** GC 1623 31-Oct-2003 20:43:13, 60 ms (0%), 1825113 occupied, 23174810 free 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 : *** Garbage collection starting *** GC 1624 31-Oct-2003 20:43:14, 60 ms (0%), 1825121 occupied, 23174802 free *** Garbage collection starting *** GC 1625 31-Oct-2003 20:43:15, 60 ms (0%), 1825581 occupied, 23174342 free 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 : *** Garbage collection starting *** GC 1626 31-Oct-2003 20:43:16, 60 ms (0%), 1824971 occupied, 23174952 free 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 : *** Garbage collection starting *** GC 1627 31-Oct-2003 20:43:17, 60 ms (0%), 1824923 occupied, 23175000 free *** Garbage collection starting *** GC 1628 31-Oct-2003 20:43:18, 70 ms (0%), 1825429 occupied, 23174494 free shortening by 1 term Step 1286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1629 31-Oct-2003 20:43:20, 50 ms (0%), 1824759 occupied, 23175164 free *** Garbage collection starting *** GC 1630 31-Oct-2003 20:43:21, 60 ms (0%), 1825259 occupied, 23174664 free shortening by 1 term Step 1288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1631 31-Oct-2003 20:43:22, 60 ms (0%), 1825159 occupied, 23174764 free *** Garbage collection starting *** GC 1632 31-Oct-2003 20:43:23, 70 ms (0%), 1826131 occupied, 23173792 free shortening by 1 term Step 1289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1633 31-Oct-2003 20:43:24, 60 ms (0%), 1825421 occupied, 23174502 free *** Garbage collection starting *** GC 1634 31-Oct-2003 20:43:25, 50 ms (0%), 1826953 occupied, 23172970 free shortening by 2 terms Step 1290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1635 31-Oct-2003 20:43:27, 70 ms (0%), 1825113 occupied, 23174810 free shortening by 1 term Step 1291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1636 31-Oct-2003 20:43:28, 60 ms (0%), 1824987 occupied, 23174936 free *** Garbage collection starting *** GC 1637 31-Oct-2003 20:43:29, 70 ms (0%), 1825481 occupied, 23174442 free 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 4 terms 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 : *** Garbage collection starting *** GC 1638 31-Oct-2003 20:43:30, 60 ms (0%), 1824887 occupied, 23175035 free *** Garbage collection starting *** GC 1639 31-Oct-2003 20:43:31, 60 ms (0%), 1825367 occupied, 23174555 free shortening by 1 term Step 1295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1640 31-Oct-2003 20:43:33, 60 ms (0%), 1825257 occupied, 23174667 free shortening by 1 term Step 1296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1641 31-Oct-2003 20:43:34, 60 ms (0%), 1824935 occupied, 23174989 free *** Garbage collection starting *** GC 1642 31-Oct-2003 20:43:35, 60 ms (0%), 1825457 occupied, 23174467 free *** Garbage collection starting *** GC 1643 31-Oct-2003 20:43:36, 70 ms (0%), 1827429 occupied, 23172494 free shortening by 1 term Step 1297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1644 31-Oct-2003 20:43:37, 60 ms (0%), 1825391 occupied, 23174533 free 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 : *** Garbage collection starting *** GC 1645 31-Oct-2003 20:43:39, 70 ms (0%), 1824693 occupied, 23175230 free *** Garbage collection starting *** GC 1646 31-Oct-2003 20:43:40, 70 ms (0%), 1825187 occupied, 23174736 free shortening by 1 term Step 1299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1647 31-Oct-2003 20:43:41, 50 ms (0%), 1825241 occupied, 23174683 free *** Garbage collection starting *** GC 1648 31-Oct-2003 20:43:42, 80 ms (0%), 1826463 occupied, 23173461 free 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 : *** Garbage collection starting *** GC 1649 31-Oct-2003 20:43:43, 80 ms (0%), 1825445 occupied, 23174479 free 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 : *** Garbage collection starting *** GC 1650 31-Oct-2003 20:43:45, 70 ms (0%), 1824751 occupied, 23175173 free *** Garbage collection starting *** GC 1651 31-Oct-2003 20:43:46, 60 ms (0%), 1825257 occupied, 23174667 free 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 : *** Garbage collection starting *** GC 1652 31-Oct-2003 20:43:47, 80 ms (0%), 1825333 occupied, 23174591 free *** Garbage collection starting *** GC 1653 31-Oct-2003 20:43:48, 70 ms (0%), 1825831 occupied, 23174093 free shortening by 1 term Step 1303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1654 31-Oct-2003 20:43:50, 60 ms (0%), 1825503 occupied, 23174420 free 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 : *** Garbage collection starting *** GC 1655 31-Oct-2003 20:43:51, 70 ms (0%), 1825227 occupied, 23174696 free *** Garbage collection starting *** GC 1656 31-Oct-2003 20:43:52, 60 ms (0%), 1825737 occupied, 23174186 free 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 : *** Garbage collection starting *** GC 1657 31-Oct-2003 20:43:53, 70 ms (0%), 1825377 occupied, 23174547 free *** Garbage collection starting *** GC 1658 31-Oct-2003 20:43:55, 70 ms (0%), 1825827 occupied, 23174097 free 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 : *** Garbage collection starting *** GC 1659 31-Oct-2003 20:43:56, 70 ms (0%), 1825559 occupied, 23174365 free 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 : *** Garbage collection starting *** GC 1660 31-Oct-2003 20:43:57, 60 ms (0%), 1825277 occupied, 23174647 free *** Garbage collection starting *** GC 1661 31-Oct-2003 20:43:58, 60 ms (0%), 1825773 occupied, 23174151 free 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 : *** Garbage collection starting *** GC 1662 31-Oct-2003 20:44:00, 60 ms (0%), 1825565 occupied, 23174357 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 1663 31-Oct-2003 20:44:01, 60 ms (0%), 1825295 occupied, 23174629 free *** Garbage collection starting *** GC 1664 31-Oct-2003 20:44:02, 60 ms (0%), 1825805 occupied, 23174119 free 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 : *** Garbage collection starting *** GC 1665 31-Oct-2003 20:44:03, 70 ms (0%), 1825457 occupied, 23174467 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 1666 31-Oct-2003 20:44:05, 70 ms (0%), 1825505 occupied, 23174419 free *** Garbage collection starting *** GC 1667 31-Oct-2003 20:44:06, 70 ms (0%), 1826075 occupied, 23173848 free shortening by 3 terms 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 1668 31-Oct-2003 20:44:07, 60 ms (0%), 1825577 occupied, 23174347 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 : *** Garbage collection starting *** GC 1669 31-Oct-2003 20:44:08, 50 ms (0%), 1825473 occupied, 23174450 free *** Garbage collection starting *** GC 1670 31-Oct-2003 20:44:10, 60 ms (0%), 1825983 occupied, 23173939 free 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 : *** Garbage collection starting *** GC 1671 31-Oct-2003 20:44:11, 70 ms (0%), 1825361 occupied, 23174563 free shortening by 2 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 : *** Garbage collection starting *** GC 1672 31-Oct-2003 20:44:12, 70 ms (0%), 1825097 occupied, 23174827 free *** Garbage collection starting *** GC 1673 31-Oct-2003 20:44:13, 60 ms (0%), 1825607 occupied, 23174316 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 1674 31-Oct-2003 20:44:15, 70 ms (0%), 1825407 occupied, 23174516 free *** Garbage collection starting *** GC 1675 31-Oct-2003 20:44:16, 70 ms (0%), 1825863 occupied, 23174060 free shortening by 3 terms Step 1317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1676 31-Oct-2003 20:44:17, 60 ms (0%), 1825503 occupied, 23174421 free shortening by 6 terms Step 1318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1677 31-Oct-2003 20:44:18, 70 ms (0%), 1825011 occupied, 23174913 free *** Garbage collection starting *** GC 1678 31-Oct-2003 20:44:20, 60 ms (0%), 1825549 occupied, 23174375 free shortening by 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 : *** Garbage collection starting *** GC 1679 31-Oct-2003 20:44:21, 60 ms (0%), 1825169 occupied, 23174755 free *** Garbage collection starting *** GC 1680 31-Oct-2003 20:44:22, 50 ms (0%), 1825551 occupied, 23174373 free shortening by 3 terms Step 1321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1681 31-Oct-2003 20:44:23, 60 ms (0%), 1825365 occupied, 23174559 free *** Garbage collection starting *** GC 1682 31-Oct-2003 20:44:25, 70 ms (0%), 1826621 occupied, 23173303 free *** Garbage collection starting *** GC 1683 31-Oct-2003 20:44:26, 60 ms (0%), 1827805 occupied, 23172119 free *** Garbage collection starting *** GC 1684 31-Oct-2003 20:44:27, 60 ms (0%), 1828529 occupied, 23171395 free *** Garbage collection starting *** GC 1685 31-Oct-2003 20:44:28, 60 ms (0%), 1829171 occupied, 23170753 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1291 and e_1559. e_1559: 11 terms, 22 factors, with derivatives of functions of all variables: (q81,q80,q78,q77,q76,q59,q57,q42,q39,q26,q25,p8,p7) is replaced by e_1563: 9 terms, 18 factors, with derivatives of functions of all variables: (q81,q78,q76,q59,q57,q42,q39,q26,q25,p8,p7) 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 : *** Garbage collection starting *** GC 1686 31-Oct-2003 20:44:31, 70 ms (0%), 1826043 occupied, 23173880 free *** Garbage collection starting *** GC 1687 31-Oct-2003 20:44:32, 60 ms (0%), 1826523 occupied, 23173400 free *** Garbage collection starting *** GC 1688 31-Oct-2003 20:44:33, 60 ms (0%), 1827985 occupied, 23171938 free *** Garbage collection starting *** GC 1689 31-Oct-2003 20:44:35, 50 ms (0%), 1828863 occupied, 23171060 free *** Garbage collection starting *** GC 1690 31-Oct-2003 20:44:36, 60 ms (0%), 1829005 occupied, 23170918 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1074. e_1074: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q76,q63,q59,q54,q53,q41,q38,q37,q26,q23,p8,p7) is replaced by e_1564: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q54,q53,q41,q38,q37,q26,q23,p8,p7) 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 : *** Garbage collection starting *** GC 1691 31-Oct-2003 20:44:37, 70 ms (0%), 1826467 occupied, 23173457 free *** Garbage collection starting *** GC 1692 31-Oct-2003 20:44:39, 60 ms (0%), 1828101 occupied, 23171823 free *** Garbage collection starting *** GC 1693 31-Oct-2003 20:44:40, 50 ms (0%), 1828895 occupied, 23171029 free *** Garbage collection starting *** GC 1694 31-Oct-2003 20:44:41, 70 ms (0%), 1829209 occupied, 23170715 free *** Garbage collection starting *** GC 1695 31-Oct-2003 20:44:42, 60 ms (0%), 1829599 occupied, 23170325 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1234. e_1234: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q76,q63,q57,q56,q55,q40,q37,q36,q25,q21,p8,p7) is replaced by e_1565: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q56,q55,q40,q37,q36,q25,q21,p8,p7) 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 : *** Garbage collection starting *** GC 1696 31-Oct-2003 20:44:44, 60 ms (0%), 1826719 occupied, 23173205 free *** Garbage collection starting *** GC 1697 31-Oct-2003 20:44:45, 70 ms (0%), 1827951 occupied, 23171973 free *** Garbage collection starting *** GC 1698 31-Oct-2003 20:44:46, 60 ms (0%), 1829089 occupied, 23170834 free *** Garbage collection starting *** GC 1699 31-Oct-2003 20:44:48, 60 ms (0%), 1829441 occupied, 23170482 free *** Garbage collection starting *** GC 1700 31-Oct-2003 20:44:49, 70 ms (0%), 1829771 occupied, 23170152 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1033 and e_1444. e_1444: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q53,q48,q39,q26,q24,q23,q10,p8,p7) is replaced by e_1566: 8 terms, 16 factors, with derivatives of functions of all variables: (q53,q48,q39,q26,q24,q23,q10,q6,p8,p7) 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 : *** Garbage collection starting *** GC 1701 31-Oct-2003 20:44:51, 60 ms (0%), 1826981 occupied, 23172943 free *** Garbage collection starting *** GC 1702 31-Oct-2003 20:44:52, 60 ms (0%), 1828377 occupied, 23171547 free *** Garbage collection starting *** GC 1703 31-Oct-2003 20:44:54, 70 ms (0%), 1829643 occupied, 23170281 free *** Garbage collection starting *** GC 1704 31-Oct-2003 20:44:55, 60 ms (0%), 1830519 occupied, 23169405 free *** Garbage collection starting *** GC 1705 31-Oct-2003 20:44:56, 70 ms (0%), 1830839 occupied, 23169085 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1169 and e_704. e_704: 5 terms, 10 factors, with derivatives of functions of all variables: (q62,q57,q49,q36,q9,p8,p7) is replaced by e_1567: 5 terms, 10 factors, with derivatives of functions of all variables: (q62,q57,q40,q27,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1706 31-Oct-2003 20:44:58, 60 ms (0%), 1826515 occupied, 23173409 free shortening by 1 term Step 1327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1707 31-Oct-2003 20:44:59, 60 ms (0%), 1822009 occupied, 23177914 free *** Garbage collection starting *** GC 1708 31-Oct-2003 20:45:00, 70 ms (0%), 1822555 occupied, 23177368 free *** Garbage collection starting *** GC 1709 31-Oct-2003 20:45:01, 60 ms (0%), 1823791 occupied, 23176132 free *** Garbage collection starting *** GC 1710 31-Oct-2003 20:45:02, 60 ms (0%), 1824511 occupied, 23175412 free *** Garbage collection starting *** GC 1711 31-Oct-2003 20:45:03, 60 ms (0%), 1825221 occupied, 23174702 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_1563. e_1563: 9 terms, 18 factors, with derivatives of functions of all variables: (q81,q78,q76,q59,q57,q42,q39,q26,q25,p8,p7) is replaced by e_769: 9 terms, 18 factors, with derivatives of functions of all variables: (q81,q78,q63,q59,q57,q42,q39,q26,q25,p8,p7) 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 : *** Garbage collection starting *** GC 1712 31-Oct-2003 20:45:04, 70 ms (0%), 1823359 occupied, 23176564 free *** Garbage collection starting *** GC 1713 31-Oct-2003 20:45:05, 50 ms (0%), 1825081 occupied, 23174841 free *** Garbage collection starting *** GC 1714 31-Oct-2003 20:45:06, 50 ms (0%), 1826177 occupied, 23173745 free *** Garbage collection starting *** GC 1715 31-Oct-2003 20:45:07, 50 ms (0%), 1826741 occupied, 23173181 free *** Garbage collection starting *** GC 1716 31-Oct-2003 20:45:08, 60 ms (0%), 1827539 occupied, 23172383 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1077. e_1077: 9 terms, 18 factors, with derivatives of functions of all variables: (q79,q53,q48,q41,q39,q26,q10,q7,q6,p8,p7) is replaced by e_1425: 9 terms, 18 factors, with derivatives of functions of all variables: (q53,q48,q41,q39,q26,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1717 31-Oct-2003 20:45:09, 50 ms (0%), 1823753 occupied, 23176170 free shortening by 3 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 : *** Garbage collection starting *** GC 1718 31-Oct-2003 20:45:10, 60 ms (0%), 1822717 occupied, 23177206 free *** Garbage collection starting *** GC 1719 31-Oct-2003 20:45:11, 60 ms (0%), 1823757 occupied, 23176166 free *** Garbage collection starting *** GC 1720 31-Oct-2003 20:45:11, 70 ms (0%), 1825065 occupied, 23174858 free *** Garbage collection starting *** GC 1721 31-Oct-2003 20:45:12, 60 ms (0%), 1825783 occupied, 23174140 free *** Garbage collection starting *** GC 1722 31-Oct-2003 20:45:13, 60 ms (0%), 1826797 occupied, 23173126 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1495 and e_769. e_769: 9 terms, 18 factors, with derivatives of functions of all variables: (q81,q78,q63,q59,q57,q42,q39,q26,q25,p8,p7) is replaced by e_1290: 9 terms, 18 factors, with derivatives of functions of all variables: (q81,q63,q59,q57,q42,q39,q26,q25,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1723 31-Oct-2003 20:45:14, 70 ms (0%), 1823991 occupied, 23175932 free *** Garbage collection starting *** GC 1724 31-Oct-2003 20:45:15, 60 ms (0%), 1825455 occupied, 23174468 free *** Garbage collection starting *** GC 1725 31-Oct-2003 20:45:16, 60 ms (0%), 1826635 occupied, 23173288 free *** Garbage collection starting *** GC 1726 31-Oct-2003 20:45:17, 50 ms (0%), 1827347 occupied, 23172576 free *** Garbage collection starting *** GC 1727 31-Oct-2003 20:45:18, 50 ms (0%), 1827831 occupied, 23172091 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_971. e_971: 10 terms, 20 factors, with derivatives of functions of all variables: (q55,q54,q39,q38,q37,q36,q27,q24,q22,q7,p8,p7) is replaced by e_684: 9 terms, 18 factors, with derivatives of functions of all variables: (q54,q39,q38,q37,q27,q24,q22,q9,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1728 31-Oct-2003 20:45:20, 70 ms (0%), 1824159 occupied, 23175764 free *** Garbage collection starting *** GC 1729 31-Oct-2003 20:45:21, 60 ms (0%), 1824739 occupied, 23175183 free *** Garbage collection starting *** GC 1730 31-Oct-2003 20:45:22, 50 ms (0%), 1826183 occupied, 23173739 free *** Garbage collection starting *** GC 1731 31-Oct-2003 20:45:22, 50 ms (0%), 1827025 occupied, 23172897 free *** Garbage collection starting *** GC 1732 31-Oct-2003 20:45:23, 50 ms (0%), 1827655 occupied, 23172267 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_684. e_684: 9 terms, 18 factors, with derivatives of functions of all variables: (q54,q39,q38,q37,q27,q24,q22,q9,q7,p8,p7) is replaced by e_1550: 8 terms, 16 factors, with derivatives of functions of all variables: (q39,q37,q27,q24,q22,q9,q8,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1733 31-Oct-2003 20:45:24, 50 ms (0%), 1824561 occupied, 23175359 free *** Garbage collection starting *** GC 1734 31-Oct-2003 20:45:25, 70 ms (0%), 1825493 occupied, 23174427 free *** Garbage collection starting *** GC 1735 31-Oct-2003 20:45:26, 50 ms (0%), 1826781 occupied, 23173139 free *** Garbage collection starting *** GC 1736 31-Oct-2003 20:45:27, 50 ms (0%), 1827489 occupied, 23172431 free *** Garbage collection starting *** GC 1737 31-Oct-2003 20:45:28, 60 ms (0%), 1827653 occupied, 23172267 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1550. e_1550: 8 terms, 16 factors, with derivatives of functions of all variables: (q39,q37,q27,q24,q22,q9,q8,q7,p8,p7) is replaced by e_1398: 8 terms, 16 factors, with derivatives of functions of all variables: (q39,q37,q27,q24,q22,q9,q7,q5,p8,p7) 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 : *** Garbage collection starting *** GC 1738 31-Oct-2003 20:45:29, 60 ms (0%), 1824895 occupied, 23175026 free shortening by 1 term 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 : *** Garbage collection starting *** GC 1739 31-Oct-2003 20:45:30, 80 ms (0%), 1823983 occupied, 23175940 free *** Garbage collection starting *** GC 1740 31-Oct-2003 20:45:31, 60 ms (0%), 1824667 occupied, 23175255 free *** Garbage collection starting *** GC 1741 31-Oct-2003 20:45:32, 60 ms (0%), 1826085 occupied, 23173837 free *** Garbage collection starting *** GC 1742 31-Oct-2003 20:45:33, 60 ms (0%), 1827151 occupied, 23172771 free *** Garbage collection starting *** GC 1743 31-Oct-2003 20:45:34, 60 ms (0%), 1827737 occupied, 23172185 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1033 and e_1000. e_1000: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q79,q42,q41,q39,q38,q37,q26,q7,q6,p8,p7) is replaced by e_1071: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q42,q41,q39,q38,q37,q26,q10,q7,q6,p8,p7) 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 : *** Garbage collection starting *** GC 1744 31-Oct-2003 20:45:35, 70 ms (0%), 1825197 occupied, 23174726 free *** Garbage collection starting *** GC 1745 31-Oct-2003 20:45:36, 60 ms (0%), 1826357 occupied, 23173566 free *** Garbage collection starting *** GC 1746 31-Oct-2003 20:45:37, 60 ms (0%), 1827285 occupied, 23172638 free *** Garbage collection starting *** GC 1747 31-Oct-2003 20:45:38, 60 ms (0%), 1827985 occupied, 23171938 free *** Garbage collection starting *** GC 1748 31-Oct-2003 20:45:39, 50 ms (0%), 1828623 occupied, 23171299 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1033 and e_1241. e_1241: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q79,q42,q40,q39,q37,q36,q25,q10,q3,p8,p7) is replaced by e_1526: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q42,q40,q39,q37,q36,q25,q10,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1749 31-Oct-2003 20:45:40, 70 ms (0%), 1825541 occupied, 23174381 free *** Garbage collection starting *** GC 1750 31-Oct-2003 20:45:41, 60 ms (0%), 1827105 occupied, 23172816 free *** Garbage collection starting *** GC 1751 31-Oct-2003 20:45:42, 60 ms (0%), 1828185 occupied, 23171736 free *** Garbage collection starting *** GC 1752 31-Oct-2003 20:45:43, 70 ms (0%), 1828637 occupied, 23171284 free *** Garbage collection starting *** GC 1753 31-Oct-2003 20:45:44, 60 ms (0%), 1829599 occupied, 23170322 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1526. e_1526: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q42,q40,q39,q37,q36,q25,q10,q6,q3,p8,p7) is replaced by e_1397: 10 terms, 20 factors, with derivatives of functions of all variables: (q42,q40,q39,q37,q36,q25,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1754 31-Oct-2003 20:45:45, 60 ms (0%), 1825851 occupied, 23174071 free *** Garbage collection starting *** GC 1755 31-Oct-2003 20:45:46, 80 ms (0%), 1827305 occupied, 23172615 free *** Garbage collection starting *** GC 1756 31-Oct-2003 20:45:47, 60 ms (0%), 1828225 occupied, 23171695 free *** Garbage collection starting *** GC 1757 31-Oct-2003 20:45:48, 60 ms (0%), 1829101 occupied, 23170819 free *** Garbage collection starting *** GC 1758 31-Oct-2003 20:45:49, 60 ms (0%), 1829569 occupied, 23170351 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1112 and e_1071. e_1071: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q42,q41,q39,q38,q37,q26,q10,q7,q6,p8,p7) is replaced by e_1401: 10 terms, 20 factors, with derivatives of functions of all variables: (q42,q41,q39,q38,q37,q26,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1759 31-Oct-2003 20:45:50, 70 ms (0%), 1826143 occupied, 23173779 free *** Garbage collection starting *** GC 1760 31-Oct-2003 20:45:51, 60 ms (0%), 1827515 occupied, 23172407 free *** Garbage collection starting *** GC 1761 31-Oct-2003 20:45:52, 50 ms (0%), 1828899 occupied, 23171023 free *** Garbage collection starting *** GC 1762 31-Oct-2003 20:45:53, 60 ms (0%), 1829297 occupied, 23170625 free *** Garbage collection starting *** GC 1763 31-Oct-2003 20:45:54, 70 ms (0%), 1829711 occupied, 23170211 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1539. e_1539: 15 terms, 30 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q55,q54,q53,q50,q47,q41,q40,q26,q25,q22,q9,p8,p7) is replaced by e_1489: 14 terms, 28 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q55,q54,q53,q47,q41,q40,q26,q25,q22,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1764 31-Oct-2003 20:45:56, 60 ms (0%), 1826533 occupied, 23173388 free *** Garbage collection starting *** GC 1765 31-Oct-2003 20:45:57, 60 ms (0%), 1827947 occupied, 23171974 free *** Garbage collection starting *** GC 1766 31-Oct-2003 20:45:58, 50 ms (0%), 1829113 occupied, 23170808 free *** Garbage collection starting *** GC 1767 31-Oct-2003 20:45:59, 60 ms (0%), 1829879 occupied, 23170042 free *** Garbage collection starting *** GC 1768 31-Oct-2003 20:46:00, 60 ms (0%), 1830159 occupied, 23169762 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1489. e_1489: 14 terms, 28 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q55,q54,q53,q47,q41,q40,q26,q25,q22,q9,p8,p7) is replaced by e_1380: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q55,q54,q53,q41,q40,q26,q25,q22,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1769 31-Oct-2003 20:46:01, 60 ms (0%), 1826817 occupied, 23173103 free *** Garbage collection starting *** GC 1770 31-Oct-2003 20:46:02, 60 ms (0%), 1827807 occupied, 23172112 free *** Garbage collection starting *** GC 1771 31-Oct-2003 20:46:03, 60 ms (0%), 1828749 occupied, 23171169 free *** Garbage collection starting *** GC 1772 31-Oct-2003 20:46:04, 60 ms (0%), 1829491 occupied, 23170427 free *** Garbage collection starting *** GC 1773 31-Oct-2003 20:46:05, 70 ms (0%), 1829923 occupied, 23169995 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1008. e_1008: 15 terms, 30 factors, with derivatives of functions of all variables: (q75,q64,q63,q62,q54,q53,q47,q40,q39,q38,q37,q27,q26,q24,q8,p8,p7) is replaced by e_1417: 14 terms, 28 factors, with derivatives of functions of all variables: (q75,q64,q63,q62,q53,q47,q40,q39,q38,q37,q27,q26,q24,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1774 31-Oct-2003 20:46:06, 60 ms (0%), 1827125 occupied, 23172796 free *** Garbage collection starting *** GC 1775 31-Oct-2003 20:46:07, 50 ms (0%), 1828059 occupied, 23171862 free *** Garbage collection starting *** GC 1776 31-Oct-2003 20:46:08, 60 ms (0%), 1829061 occupied, 23170860 free *** Garbage collection starting *** GC 1777 31-Oct-2003 20:46:09, 60 ms (0%), 1829565 occupied, 23170356 free *** Garbage collection starting *** GC 1778 31-Oct-2003 20:46:10, 50 ms (0%), 1829899 occupied, 23170022 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1561. e_1561: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q55,q54,q50,q47,q38,q36,p8,p7) is replaced by e_1068: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q55,q54,q47,q38,q36,q22,p8,p7) 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 : *** Garbage collection starting *** GC 1779 31-Oct-2003 20:46:12, 70 ms (0%), 1827251 occupied, 23172669 free *** Garbage collection starting *** GC 1780 31-Oct-2003 20:46:13, 60 ms (0%), 1827833 occupied, 23172087 free *** Garbage collection starting *** GC 1781 31-Oct-2003 20:46:14, 60 ms (0%), 1829325 occupied, 23170595 free *** Garbage collection starting *** GC 1782 31-Oct-2003 20:46:15, 60 ms (0%), 1830135 occupied, 23169785 free *** Garbage collection starting *** GC 1783 31-Oct-2003 20:46:16, 60 ms (0%), 1830361 occupied, 23169559 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1068. e_1068: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q55,q54,q47,q38,q36,q22,p8,p7) is replaced by e_1053: 9 terms, 18 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q55,q54,q38,q36,p8,p7) 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 : *** Garbage collection starting *** GC 1784 31-Oct-2003 20:46:17, 50 ms (0%), 1827543 occupied, 23172375 free *** Garbage collection starting *** GC 1785 31-Oct-2003 20:46:18, 70 ms (0%), 1828231 occupied, 23171687 free *** Garbage collection starting *** GC 1786 31-Oct-2003 20:46:19, 50 ms (0%), 1829521 occupied, 23170397 free *** Garbage collection starting *** GC 1787 31-Oct-2003 20:46:20, 60 ms (0%), 1830123 occupied, 23169795 free *** Garbage collection starting *** GC 1788 31-Oct-2003 20:46:21, 60 ms (0%), 1830763 occupied, 23169155 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1053. e_1053: 9 terms, 18 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q55,q54,q38,q36,p8,p7) is replaced by e_1393: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q54,q38,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1789 31-Oct-2003 20:46:23, 60 ms (0%), 1827773 occupied, 23172148 free *** Garbage collection starting *** GC 1790 31-Oct-2003 20:46:24, 60 ms (0%), 1828583 occupied, 23171337 free *** Garbage collection starting *** GC 1791 31-Oct-2003 20:46:25, 60 ms (0%), 1830255 occupied, 23169665 free *** Garbage collection starting *** GC 1792 31-Oct-2003 20:46:26, 60 ms (0%), 1830853 occupied, 23169067 free *** Garbage collection starting *** GC 1793 31-Oct-2003 20:46:27, 60 ms (0%), 1831297 occupied, 23168623 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1393. e_1393: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q54,q38,q9,p8,p7) is replaced by e_1419: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q9,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1794 31-Oct-2003 20:46:28, 60 ms (0%), 1828021 occupied, 23171900 free *** Garbage collection starting *** GC 1795 31-Oct-2003 20:46:29, 60 ms (0%), 1828675 occupied, 23171245 free *** Garbage collection starting *** GC 1796 31-Oct-2003 20:46:30, 60 ms (0%), 1829705 occupied, 23170215 free *** Garbage collection starting *** GC 1797 31-Oct-2003 20:46:32, 60 ms (0%), 1830379 occupied, 23169541 free *** Garbage collection starting *** GC 1798 31-Oct-2003 20:46:33, 60 ms (0%), 1831071 occupied, 23168849 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1415 and e_1419. e_1419: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q9,q8,p8,p7) is replaced by e_1143: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q78,q77,q76,q75,q9,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1799 31-Oct-2003 20:46:34, 60 ms (0%), 1828303 occupied, 23171618 free *** Garbage collection starting *** GC 1800 31-Oct-2003 20:46:35, 60 ms (0%), 1829295 occupied, 23170625 free *** Garbage collection starting *** GC 1801 31-Oct-2003 20:46:36, 60 ms (0%), 1831371 occupied, 23168549 free *** Garbage collection starting *** GC 1802 31-Oct-2003 20:46:37, 50 ms (0%), 1831861 occupied, 23168059 free *** Garbage collection starting *** GC 1803 31-Oct-2003 20:46:39, 60 ms (0%), 1832211 occupied, 23167709 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_539 and e_1143. e_1143: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q78,q77,q76,q75,q9,q8,p8,p7) is replaced by e_1472: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q77,q76,q75,q9,q8,q4,p8,p7) Step 1348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1804 31-Oct-2003 20:46:40, 70 ms (0%), 1827937 occupied, 23171983 free *** Garbage collection starting *** GC 1805 31-Oct-2003 20:46:41, 60 ms (0%), 1828827 occupied, 23171093 free *** Garbage collection starting *** GC 1806 31-Oct-2003 20:46:42, 70 ms (0%), 1830363 occupied, 23169557 free *** Garbage collection starting *** GC 1807 31-Oct-2003 20:46:43, 70 ms (0%), 1830609 occupied, 23169311 free *** Garbage collection starting *** GC 1808 31-Oct-2003 20:46:44, 60 ms (0%), 1830797 occupied, 23169122 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1435 and e_472. e_472: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q77,q76,q9,q8,q4,p8,p7) is replaced by e_1501: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q77,q75,q9,q8,q4,p8,p7) 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 3 terms Step 1351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1809 31-Oct-2003 20:46:46, 70 ms (0%), 1828071 occupied, 23171849 free *** Garbage collection starting *** GC 1810 31-Oct-2003 20:46:47, 50 ms (0%), 1829775 occupied, 23170145 free *** Garbage collection starting *** GC 1811 31-Oct-2003 20:46:48, 60 ms (0%), 1830771 occupied, 23169149 free *** Garbage collection starting *** GC 1812 31-Oct-2003 20:46:49, 50 ms (0%), 1831287 occupied, 23168633 free *** Garbage collection starting *** GC 1813 31-Oct-2003 20:46:50, 50 ms (0%), 1831611 occupied, 23168309 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1430. e_1430: 11 terms, 22 factors, with derivatives of functions of all variables: (q54,q53,q42,q40,q38,q37,q36,q27,q22,q9,q7,p8,p7) is replaced by e_1462: 10 terms, 20 factors, with derivatives of functions of all variables: (q53,q42,q40,q37,q36,q27,q22,q9,q8,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1814 31-Oct-2003 20:46:52, 70 ms (0%), 1829215 occupied, 23170704 free 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 : *** Garbage collection starting *** GC 1815 31-Oct-2003 20:46:53, 80 ms (0%), 1828287 occupied, 23171633 free *** Garbage collection starting *** GC 1816 31-Oct-2003 20:46:54, 60 ms (0%), 1828817 occupied, 23171103 free *** Garbage collection starting *** GC 1817 31-Oct-2003 20:46:55, 70 ms (0%), 1830191 occupied, 23169728 free *** Garbage collection starting *** GC 1818 31-Oct-2003 20:46:57, 50 ms (0%), 1831457 occupied, 23168462 free *** Garbage collection starting *** GC 1819 31-Oct-2003 20:46:58, 70 ms (0%), 1832085 occupied, 23167834 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q40 from e_1328 and e_1413. e_1413: 9 terms, 18 factors, with derivatives of functions of all variables: (q56,q42,q40,q37,q36,q27,q22,q9,q7,p8,p7) is replaced by e_1249: 9 terms, 18 factors, with derivatives of functions of all variables: (q56,q42,q37,q36,q27,q25,q22,q9,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1820 31-Oct-2003 20:46:59, 70 ms (0%), 1829567 occupied, 23170353 free *** Garbage collection starting *** GC 1821 31-Oct-2003 20:47:00, 60 ms (0%), 1830739 occupied, 23169181 free *** Garbage collection starting *** GC 1822 31-Oct-2003 20:47:01, 60 ms (0%), 1832199 occupied, 23167720 free *** Garbage collection starting *** GC 1823 31-Oct-2003 20:47:03, 60 ms (0%), 1832749 occupied, 23167170 free *** Garbage collection starting *** GC 1824 31-Oct-2003 20:47:04, 70 ms (0%), 1832981 occupied, 23166938 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1275. e_1275: 16 terms, 32 factors, with derivatives of functions of all variables: (q78,q64,q58,q56,q55,q50,q47,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) is replaced by e_961: 15 terms, 30 factors, with derivatives of functions of all variables: (q78,q64,q58,q56,q55,q47,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1825 31-Oct-2003 20:47:05, 60 ms (0%), 1829967 occupied, 23169953 free *** Garbage collection starting *** GC 1826 31-Oct-2003 20:47:07, 60 ms (0%), 1831185 occupied, 23168732 free *** Garbage collection starting *** GC 1827 31-Oct-2003 20:47:08, 60 ms (0%), 1832297 occupied, 23167620 free *** Garbage collection starting *** GC 1828 31-Oct-2003 20:47:09, 70 ms (0%), 1833029 occupied, 23166888 free *** Garbage collection starting *** GC 1829 31-Oct-2003 20:47:10, 60 ms (0%), 1833645 occupied, 23166272 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_961. e_961: 15 terms, 30 factors, with derivatives of functions of all variables: (q78,q64,q58,q56,q55,q47,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) is replaced by e_861: 14 terms, 28 factors, with derivatives of functions of all variables: (q78,q64,q58,q56,q55,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1830 31-Oct-2003 20:47:12, 70 ms (0%), 1830299 occupied, 23169619 free *** Garbage collection starting *** GC 1831 31-Oct-2003 20:47:13, 60 ms (0%), 1831447 occupied, 23168470 free *** Garbage collection starting *** GC 1832 31-Oct-2003 20:47:14, 60 ms (0%), 1833259 occupied, 23166658 free *** Garbage collection starting *** GC 1833 31-Oct-2003 20:47:15, 70 ms (0%), 1833813 occupied, 23166104 free *** Garbage collection starting *** GC 1834 31-Oct-2003 20:47:16, 70 ms (0%), 1834185 occupied, 23165732 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1422 and e_861. e_861: 14 terms, 28 factors, with derivatives of functions of all variables: (q78,q64,q58,q56,q55,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) is replaced by e_1452: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q55,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1835 31-Oct-2003 20:47:18, 60 ms (0%), 1830429 occupied, 23169490 free *** Garbage collection starting *** GC 1836 31-Oct-2003 20:47:19, 60 ms (0%), 1831215 occupied, 23168704 free *** Garbage collection starting *** GC 1837 31-Oct-2003 20:47:20, 60 ms (0%), 1832337 occupied, 23167582 free *** Garbage collection starting *** GC 1838 31-Oct-2003 20:47:22, 60 ms (0%), 1832975 occupied, 23166944 free *** Garbage collection starting *** GC 1839 31-Oct-2003 20:47:23, 60 ms (0%), 1833679 occupied, 23166240 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1452. e_1452: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q55,q41,q39,q38,q37,q36,q24,q22,q10,q8,p8,p7) is replaced by e_1509: 10 terms, 20 factors, with derivatives of functions of all variables: (q56,q41,q39,q38,q37,q24,q22,q10,q9,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1840 31-Oct-2003 20:47:24, 70 ms (0%), 1830693 occupied, 23169225 free 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 : *** Garbage collection starting *** GC 1841 31-Oct-2003 20:47:26, 60 ms (0%), 1829803 occupied, 23170116 free *** Garbage collection starting *** GC 1842 31-Oct-2003 20:47:27, 60 ms (0%), 1830665 occupied, 23169254 free *** Garbage collection starting *** GC 1843 31-Oct-2003 20:47:28, 50 ms (0%), 1832251 occupied, 23167668 free *** Garbage collection starting *** GC 1844 31-Oct-2003 20:47:29, 70 ms (0%), 1833073 occupied, 23166846 free *** Garbage collection starting *** GC 1845 31-Oct-2003 20:47:31, 70 ms (0%), 1833569 occupied, 23166350 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_804 and e_1449. e_1449: 9 terms, 18 factors, with derivatives of functions of all variables: (q53,q41,q39,q38,q37,q24,q22,q10,q8,p8,p7) is replaced by e_1316: 9 terms, 18 factors, with derivatives of functions of all variables: (q53,q39,q38,q37,q26,q24,q22,q10,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1846 31-Oct-2003 20:47:32, 50 ms (0%), 1830985 occupied, 23168932 free *** Garbage collection starting *** GC 1847 31-Oct-2003 20:47:33, 70 ms (0%), 1832105 occupied, 23167812 free *** Garbage collection starting *** GC 1848 31-Oct-2003 20:47:35, 60 ms (0%), 1834003 occupied, 23165914 free *** Garbage collection starting *** GC 1849 31-Oct-2003 20:47:36, 60 ms (0%), 1834343 occupied, 23165574 free *** Garbage collection starting *** GC 1850 31-Oct-2003 20:47:37, 60 ms (0%), 1834523 occupied, 23165394 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1436 and e_950. e_950: 16 terms, 32 factors, with derivatives of functions of all variables: (q80,q79,q76,q64,q63,q59,q56,q53,q50,q49,q37,q26,q24,q23,q22,q21,p8,p7) is replaced by e_166: 14 terms, 28 factors, with derivatives of functions of all variables: (q80,q79,q64,q59,q56,q53,q50,q49,q37,q26,q24,q23,q22,q21,p8,p7) 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 : *** Garbage collection starting *** GC 1851 31-Oct-2003 20:47:39, 70 ms (0%), 1831395 occupied, 23168524 free *** Garbage collection starting *** GC 1852 31-Oct-2003 20:47:40, 70 ms (0%), 1831905 occupied, 23168014 free *** Garbage collection starting *** GC 1853 31-Oct-2003 20:47:42, 70 ms (0%), 1833375 occupied, 23166544 free *** Garbage collection starting *** GC 1854 31-Oct-2003 20:47:43, 60 ms (0%), 1834183 occupied, 23165736 free *** Garbage collection starting *** GC 1855 31-Oct-2003 20:47:44, 60 ms (0%), 1834419 occupied, 23165500 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1529. e_1529: 16 terms, 32 factors, with derivatives of functions of all variables: (q80,q79,q76,q63,q62,q57,q56,q53,q48,q47,q37,q27,q25,q23,q22,q21,p8,p7) is replaced by e_1387: 14 terms, 28 factors, with derivatives of functions of all variables: (q80,q79,q62,q57,q56,q53,q48,q47,q37,q27,q25,q23,q22,q21,p8,p7) 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 : *** Garbage collection starting *** GC 1856 31-Oct-2003 20:47:46, 60 ms (0%), 1831663 occupied, 23168257 free *** Garbage collection starting *** GC 1857 31-Oct-2003 20:47:47, 60 ms (0%), 1832185 occupied, 23167735 free *** Garbage collection starting *** GC 1858 31-Oct-2003 20:47:49, 60 ms (0%), 1833795 occupied, 23166125 free *** Garbage collection starting *** GC 1859 31-Oct-2003 20:47:50, 60 ms (0%), 1834373 occupied, 23165547 free *** Garbage collection starting *** GC 1860 31-Oct-2003 20:47:51, 60 ms (0%), 1834587 occupied, 23165333 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1861 31-Oct-2003 20:47:55, 60 ms (0%), 1847829 occupied, 23152074 free Eliminate q55 from e_1484 and e_1565. e_1565: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q56,q55,q40,q37,q36,q25,q21,p8,p7) is replaced by e_1440: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q56,q49,q37,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 1862 31-Oct-2003 20:47:56, 70 ms (0%), 1831767 occupied, 23168153 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 1863 31-Oct-2003 20:47:58, 60 ms (0%), 1830979 occupied, 23168940 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 1864 31-Oct-2003 20:47:59, 60 ms (0%), 1830703 occupied, 23169217 free 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 : *** Garbage collection starting *** GC 1865 31-Oct-2003 20:48:01, 70 ms (0%), 1830653 occupied, 23169267 free *** Garbage collection starting *** GC 1866 31-Oct-2003 20:48:02, 60 ms (0%), 1831287 occupied, 23168633 free 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 : *** Garbage collection starting *** GC 1867 31-Oct-2003 20:48:03, 70 ms (0%), 1831167 occupied, 23168753 free 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 : *** Garbage collection starting *** GC 1868 31-Oct-2003 20:48:05, 60 ms (0%), 1831091 occupied, 23168829 free 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 : *** Garbage collection starting *** GC 1869 31-Oct-2003 20:48:06, 60 ms (0%), 1830997 occupied, 23168923 free 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 : *** Garbage collection starting *** GC 1870 31-Oct-2003 20:48:08, 60 ms (0%), 1830963 occupied, 23168957 free 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 : *** Garbage collection starting *** GC 1871 31-Oct-2003 20:48:09, 60 ms (0%), 1830869 occupied, 23169051 free *** Garbage collection starting *** GC 1872 31-Oct-2003 20:48:11, 60 ms (0%), 1831611 occupied, 23168309 free 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 : *** Garbage collection starting *** GC 1873 31-Oct-2003 20:48:12, 70 ms (0%), 1831055 occupied, 23168865 free *** Garbage collection starting *** GC 1874 31-Oct-2003 20:48:13, 50 ms (0%), 1831953 occupied, 23167967 free *** Garbage collection starting *** GC 1875 31-Oct-2003 20:48:15, 60 ms (0%), 1832207 occupied, 23167713 free *** Garbage collection starting *** GC 1876 31-Oct-2003 20:48:16, 60 ms (0%), 1832289 occupied, 23167631 free *** Garbage collection starting *** GC 1877 31-Oct-2003 20:48:18, 60 ms (0%), 1832371 occupied, 23167549 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_799. e_799: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q50,q48,q47,q37,q23,q22,q21,q9,q6,q3,p8,p7) is replaced by e_1381: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q50,q48,q47,q37,q23,q22,q21,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1878 31-Oct-2003 20:48:21, 70 ms (0%), 1831939 occupied, 23167981 free *** Garbage collection starting *** GC 1879 31-Oct-2003 20:48:22, 50 ms (0%), 1832761 occupied, 23167159 free *** Garbage collection starting *** GC 1880 31-Oct-2003 20:48:24, 60 ms (0%), 1833861 occupied, 23166058 free *** Garbage collection starting *** GC 1881 31-Oct-2003 20:48:25, 70 ms (0%), 1833985 occupied, 23165934 free *** Garbage collection starting *** GC 1882 31-Oct-2003 20:48:27, 60 ms (0%), 1834177 occupied, 23165742 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q56 from e_1276 and e_1118. e_1118: 8 terms, 16 factors, with derivatives of functions of all variables: (q56,q48,q41,q39,q26,q7,q6,q3,p8,p7) is replaced by e_1508: 8 terms, 16 factors, with derivatives of functions of all variables: (q41,q39,q26,q24,q9,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1883 31-Oct-2003 20:48:29, 70 ms (0%), 1831803 occupied, 23168118 free *** Garbage collection starting *** GC 1884 31-Oct-2003 20:48:30, 50 ms (0%), 1832551 occupied, 23167370 free *** Garbage collection starting *** GC 1885 31-Oct-2003 20:48:32, 50 ms (0%), 1833443 occupied, 23166478 free *** Garbage collection starting *** GC 1886 31-Oct-2003 20:48:33, 60 ms (0%), 1834409 occupied, 23165512 free *** Garbage collection starting *** GC 1887 31-Oct-2003 20:48:35, 60 ms (0%), 1835115 occupied, 23164806 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_1155. e_1155: 7 terms, 14 factors, with derivatives of functions of all variables: (q41,q39,q26,q24,q9,q6,q3,p8,p7) is replaced by e_1315: 7 terms, 14 factors, with derivatives of functions of all variables: (q41,q39,q26,q24,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1888 31-Oct-2003 20:48:37, 60 ms (0%), 1832883 occupied, 23167037 free *** Garbage collection starting *** GC 1889 31-Oct-2003 20:48:38, 80 ms (0%), 1834423 occupied, 23165497 free *** Garbage collection starting *** GC 1890 31-Oct-2003 20:48:40, 70 ms (0%), 1836199 occupied, 23163721 free *** Garbage collection starting *** GC 1891 31-Oct-2003 20:48:41, 60 ms (0%), 1836915 occupied, 23163005 free *** Garbage collection starting *** GC 1892 31-Oct-2003 20:48:43, 50 ms (0%), 1837263 occupied, 23162657 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_1315 and e_1401. e_1401: 10 terms, 20 factors, with derivatives of functions of all variables: (q42,q41,q39,q38,q37,q26,q10,q7,q6,q3,p8,p7) is replaced by e_1362: 10 terms, 20 factors, with derivatives of functions of all variables: (q42,q39,q38,q37,q26,q24,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1893 31-Oct-2003 20:48:44, 60 ms (0%), 1833329 occupied, 23166592 free *** Garbage collection starting *** GC 1894 31-Oct-2003 20:48:46, 60 ms (0%), 1834701 occupied, 23165220 free *** Garbage collection starting *** GC 1895 31-Oct-2003 20:48:47, 80 ms (0%), 1835991 occupied, 23163930 free *** Garbage collection starting *** GC 1896 31-Oct-2003 20:48:49, 50 ms (0%), 1836591 occupied, 23163330 free *** Garbage collection starting *** GC 1897 31-Oct-2003 20:48:50, 70 ms (0%), 1837283 occupied, 23162638 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1448 and e_1564. e_1564: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q54,q53,q41,q38,q37,q26,q23,p8,p7) is replaced by e_1517: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q53,q48,q37,q23,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1898 31-Oct-2003 20:48:52, 70 ms (0%), 1833433 occupied, 23166488 free shortening by 3 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 : *** Garbage collection starting *** GC 1899 31-Oct-2003 20:48:54, 70 ms (0%), 1832637 occupied, 23167283 free shortening by 3 terms 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 : *** Garbage collection starting *** GC 1900 31-Oct-2003 20:48:55, 60 ms (0%), 1832391 occupied, 23167530 free 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 : *** Garbage collection starting *** GC 1901 31-Oct-2003 20:48:57, 80 ms (0%), 1832263 occupied, 23167658 free *** Garbage collection starting *** GC 1902 31-Oct-2003 20:48:59, 70 ms (0%), 1832911 occupied, 23167010 free 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 : *** Garbage collection starting *** GC 1903 31-Oct-2003 20:49:00, 60 ms (0%), 1832825 occupied, 23167096 free shortening by 1 term Step 1383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1904 31-Oct-2003 20:49:02, 60 ms (0%), 1832701 occupied, 23167220 free shortening by 1 term Step 1384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1905 31-Oct-2003 20:49:03, 70 ms (0%), 1832719 occupied, 23167202 free *** Garbage collection starting *** GC 1906 31-Oct-2003 20:49:05, 70 ms (0%), 1833745 occupied, 23166176 free *** Garbage collection starting *** GC 1907 31-Oct-2003 20:49:06, 60 ms (0%), 1833899 occupied, 23166022 free *** Garbage collection starting *** GC 1908 31-Oct-2003 20:49:08, 60 ms (0%), 1833999 occupied, 23165922 free *** Garbage collection starting *** GC 1909 31-Oct-2003 20:49:10, 70 ms (0%), 1834183 occupied, 23165738 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q53 from e_227 and e_1335. e_1335: 7 terms, 14 factors, with derivatives of functions of all variables: (q53,q49,q42,q40,q25,q9,q3,p8,p7) is replaced by e_1464: 7 terms, 14 factors, with derivatives of functions of all variables: (q42,q40,q27,q25,q9,q8,q3,p8,p7) 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 : *** Garbage collection starting *** GC 1910 31-Oct-2003 20:49:12, 70 ms (0%), 1833563 occupied, 23166358 free *** Garbage collection starting *** GC 1911 31-Oct-2003 20:49:14, 70 ms (0%), 1833997 occupied, 23165923 free *** Garbage collection starting *** GC 1912 31-Oct-2003 20:49:16, 60 ms (0%), 1834945 occupied, 23164975 free *** Garbage collection starting *** GC 1913 31-Oct-2003 20:49:17, 60 ms (0%), 1835081 occupied, 23164839 free *** Garbage collection starting *** GC 1914 31-Oct-2003 20:49:19, 60 ms (0%), 1835933 occupied, 23163987 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q53 from e_227 and e_538. e_538: 8 terms, 16 factors, with derivatives of functions of all variables: (q77,q57,q53,q49,q47,q42,q10,q8,p8,p7) is replaced by e_1451: 8 terms, 16 factors, with derivatives of functions of all variables: (q77,q57,q49,q47,q27,q25,q10,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1915 31-Oct-2003 20:49:21, 60 ms (0%), 1834103 occupied, 23165818 free *** Garbage collection starting *** GC 1916 31-Oct-2003 20:49:22, 60 ms (0%), 1834597 occupied, 23165324 free *** Garbage collection starting *** GC 1917 31-Oct-2003 20:49:24, 60 ms (0%), 1836691 occupied, 23163230 free *** Garbage collection starting *** GC 1918 31-Oct-2003 20:49:26, 60 ms (0%), 1837461 occupied, 23162460 free *** Garbage collection starting *** GC 1919 31-Oct-2003 20:49:27, 50 ms (0%), 1837931 occupied, 23161990 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 1920 31-Oct-2003 20:49:31, 70 ms (0%), 1859920 occupied, 23139976 free Eliminate q70 from e_1482 and e_1549. e_1482: 5 terms, 10 factors, with derivatives of functions of all variables: (q70,q67,q52,q44,q29,p8,p7) is replaced by e_1022: 5 terms, 10 factors, with derivatives of functions of all variables: (q52,q45,q44,q28,q1,p8,p7) Step 1387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1921 31-Oct-2003 20:49:33, 60 ms (0%), 1833893 occupied, 23166028 free *** Garbage collection starting *** GC 1922 31-Oct-2003 20:49:35, 70 ms (0%), 1834401 occupied, 23165520 free *** Garbage collection starting *** GC 1923 31-Oct-2003 20:49:36, 60 ms (0%), 1836247 occupied, 23163674 free *** Garbage collection starting *** GC 1924 31-Oct-2003 20:49:38, 60 ms (0%), 1836757 occupied, 23163163 free *** Garbage collection starting *** GC 1925 31-Oct-2003 20:49:40, 60 ms (0%), 1837077 occupied, 23162843 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q69 from e_1556 and e_1473. e_1556: 5 terms, 10 factors, with derivatives of functions of all variables: (q69,q68,q51,q43,q28,p8,p7) is replaced by e_1303: 5 terms, 10 factors, with derivatives of functions of all variables: (q51,q46,q43,q29,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1926 31-Oct-2003 20:49:42, 60 ms (0%), 1834315 occupied, 23165606 free *** Garbage collection starting *** GC 1927 31-Oct-2003 20:49:43, 80 ms (0%), 1835315 occupied, 23164606 free *** Garbage collection starting *** GC 1928 31-Oct-2003 20:49:45, 70 ms (0%), 1837489 occupied, 23162431 free *** Garbage collection starting *** GC 1929 31-Oct-2003 20:49:47, 50 ms (0%), 1838183 occupied, 23161737 free *** Garbage collection starting *** GC 1930 31-Oct-2003 20:49:48, 70 ms (0%), 1838549 occupied, 23161371 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q51 from e_1303 and e_1097. e_1097: 9 terms, 18 factors, with derivatives of functions of all variables: (q71,q67,q66,q65,q51,q46,q43,q28,q2,p8,p7) is replaced by e_1350: 9 terms, 18 factors, with derivatives of functions of all variables: (q71,q67,q66,q65,q46,q43,q29,q28,q2,p8,p7) 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 1931 31-Oct-2003 20:49:50, 70 ms (0%), 1835457 occupied, 23164464 free *** Garbage collection starting *** GC 1932 31-Oct-2003 20:49:52, 70 ms (0%), 1836659 occupied, 23163262 free *** Garbage collection starting *** GC 1933 31-Oct-2003 20:49:54, 70 ms (0%), 1838847 occupied, 23161074 free *** Garbage collection starting *** GC 1934 31-Oct-2003 20:49:55, 60 ms (0%), 1839359 occupied, 23160562 free *** Garbage collection starting *** GC 1935 31-Oct-2003 20:49:57, 60 ms (0%), 1839631 occupied, 23160290 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q51 from e_1303 and e_1163. e_1163: 7 terms, 14 factors, with derivatives of functions of all variables: (q74,q65,q60,q51,q46,q43,q28,p8,p7) is replaced by e_1128: 7 terms, 14 factors, with derivatives of functions of all variables: (q74,q65,q60,q43,q29,q28,q2,p8,p7) 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 : *** Garbage collection starting *** GC 1936 31-Oct-2003 20:49:59, 70 ms (0%), 1835741 occupied, 23164180 free *** Garbage collection starting *** GC 1937 31-Oct-2003 20:50:01, 60 ms (0%), 1836439 occupied, 23163482 free *** Garbage collection starting *** GC 1938 31-Oct-2003 20:50:03, 60 ms (0%), 1838425 occupied, 23161496 free *** Garbage collection starting *** GC 1939 31-Oct-2003 20:50:04, 60 ms (0%), 1839495 occupied, 23160426 free *** Garbage collection starting *** GC 1940 31-Oct-2003 20:50:06, 60 ms (0%), 1840281 occupied, 23159640 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1291 and e_1499. e_1499: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q80,q79,q78,q77,q59,q57,q42,q39,q27,q24,q23,q21,p8,p7) is replaced by e_1011: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q79,q78,q77,q76,q59,q57,q42,q39,q27,q24,q23,q21,p8,p7) 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 : *** Garbage collection starting *** GC 1941 31-Oct-2003 20:50:08, 80 ms (0%), 1836169 occupied, 23163752 free *** Garbage collection starting *** GC 1942 31-Oct-2003 20:50:10, 60 ms (0%), 1836675 occupied, 23163246 free *** Garbage collection starting *** GC 1943 31-Oct-2003 20:50:12, 50 ms (0%), 1838123 occupied, 23161797 free *** Garbage collection starting *** GC 1944 31-Oct-2003 20:50:14, 60 ms (0%), 1838989 occupied, 23160931 free *** Garbage collection starting *** GC 1945 31-Oct-2003 20:50:16, 70 ms (0%), 1839417 occupied, 23160503 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_1380. e_1380: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q55,q54,q53,q41,q40,q26,q25,q22,q9,p8,p7) is replaced by e_1228: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q54,q53,q41,q40,q36,q26,q25,q22,q9,p8,p7) Step 1392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1946 31-Oct-2003 20:50:17, 60 ms (0%), 1836641 occupied, 23163281 free shortening by 1 term Step 1393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1947 31-Oct-2003 20:50:19, 70 ms (0%), 1835821 occupied, 23164100 free *** Garbage collection starting *** GC 1948 31-Oct-2003 20:50:21, 80 ms (0%), 1836839 occupied, 23163081 free *** Garbage collection starting *** GC 1949 31-Oct-2003 20:50:23, 60 ms (0%), 1838195 occupied, 23161724 free *** Garbage collection starting *** GC 1950 31-Oct-2003 20:50:25, 60 ms (0%), 1839975 occupied, 23159944 free *** Garbage collection starting *** GC 1951 31-Oct-2003 20:50:27, 70 ms (0%), 1840487 occupied, 23159431 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q56 from e_934 and e_1351. e_1351: 12 terms, 24 factors, with derivatives of functions of all variables: (q64,q63,q62,q56,q54,q53,q41,q40,q27,q26,q22,q9,p8,p7) is replaced by e_807: 12 terms, 24 factors, with derivatives of functions of all variables: (q64,q63,q62,q54,q53,q41,q40,q27,q26,q22,q9,q8,p8,p7) 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 : *** Garbage collection starting *** GC 1952 31-Oct-2003 20:50:29, 70 ms (0%), 1836997 occupied, 23162925 free shortening by 1 term Step 1395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1953 31-Oct-2003 20:50:30, 70 ms (0%), 1836171 occupied, 23163751 free *** Garbage collection starting *** GC 1954 31-Oct-2003 20:50:32, 60 ms (0%), 1837073 occupied, 23162848 free *** Garbage collection starting *** GC 1955 31-Oct-2003 20:50:34, 70 ms (0%), 1838953 occupied, 23160967 free *** Garbage collection starting *** GC 1956 31-Oct-2003 20:50:36, 70 ms (0%), 1840751 occupied, 23159169 free *** Garbage collection starting *** GC 1957 31-Oct-2003 20:50:38, 70 ms (0%), 1842013 occupied, 23157906 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1450. e_1450: 11 terms, 22 factors, with derivatives of functions of all variables: (q64,q63,q62,q57,q54,q53,q41,q27,q26,q22,q8,p8,p7) is replaced by e_1280: 11 terms, 22 factors, with derivatives of functions of all variables: (q64,q63,q62,q57,q53,q41,q38,q27,q26,q22,q8,p8,p7) Step 1396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1958 31-Oct-2003 20:50:40, 60 ms (0%), 1837313 occupied, 23162609 free shortening by 1 term Step 1397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1959 31-Oct-2003 20:50:42, 70 ms (0%), 1836513 occupied, 23163409 free 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 : *** Garbage collection starting *** GC 1960 31-Oct-2003 20:50:44, 60 ms (0%), 1836359 occupied, 23163563 free 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 : *** Garbage collection starting *** GC 1961 31-Oct-2003 20:50:46, 50 ms (0%), 1836211 occupied, 23163711 free *** Garbage collection starting *** GC 1962 31-Oct-2003 20:50:47, 60 ms (0%), 1836747 occupied, 23163175 free 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 : *** Garbage collection starting *** GC 1963 31-Oct-2003 20:50:49, 60 ms (0%), 1836703 occupied, 23163219 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1964 31-Oct-2003 20:50:51, 70 ms (0%), 1836709 occupied, 23163213 free *** Garbage collection starting *** GC 1965 31-Oct-2003 20:50:53, 60 ms (0%), 1837789 occupied, 23162131 free 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 : *** Garbage collection starting *** GC 1966 31-Oct-2003 20:50:55, 60 ms (0%), 1836649 occupied, 23163272 free *** Garbage collection starting *** GC 1967 31-Oct-2003 20:50:57, 80 ms (0%), 1837203 occupied, 23162718 free 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 : *** Garbage collection starting *** GC 1968 31-Oct-2003 20:50:59, 70 ms (0%), 1836835 occupied, 23163085 free *** Garbage collection starting *** GC 1969 31-Oct-2003 20:51:01, 70 ms (0%), 1837345 occupied, 23162575 free *** Garbage collection starting *** GC 1970 31-Oct-2003 20:51:03, 70 ms (0%), 1839823 occupied, 23160096 free 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 : *** Garbage collection starting *** GC 1971 31-Oct-2003 20:51:05, 60 ms (0%), 1837169 occupied, 23162752 free *** Garbage collection starting *** GC 1972 31-Oct-2003 20:51:07, 70 ms (0%), 1837799 occupied, 23162122 free *** Garbage collection starting *** GC 1973 31-Oct-2003 20:51:09, 80 ms (0%), 1840455 occupied, 23159466 free *** Garbage collection starting *** GC 1974 31-Oct-2003 20:51:11, 60 ms (0%), 1842219 occupied, 23157701 free *** Garbage collection starting *** GC 1975 31-Oct-2003 20:51:13, 60 ms (0%), 1843249 occupied, 23156671 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q64 from e_1347 and e_1507. e_1507: 8 terms, 16 factors, with derivatives of functions of all variables: (q64,q63,q62,q59,q58,q57,q27,q24,p8,p7) is replaced by e_1215: 8 terms, 16 factors, with derivatives of functions of all variables: (q63,q62,q59,q57,q38,q27,q24,q23,p8,p7) 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 : *** Garbage collection starting *** GC 1976 31-Oct-2003 20:51:15, 70 ms (0%), 1837937 occupied, 23161984 free *** Garbage collection starting *** GC 1977 31-Oct-2003 20:51:17, 70 ms (0%), 1838527 occupied, 23161394 free *** Garbage collection starting *** GC 1978 31-Oct-2003 20:51:19, 60 ms (0%), 1842225 occupied, 23157696 free *** Garbage collection starting *** GC 1979 31-Oct-2003 20:51:21, 70 ms (0%), 1844335 occupied, 23155584 free *** Garbage collection starting *** GC 1980 31-Oct-2003 20:51:23, 60 ms (0%), 1846497 occupied, 23153419 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q76 from e_1420 and e_1492. e_1492: 13 terms, 26 factors, with derivatives of functions of all variables: (q76,q63,q57,q56,q53,q49,q48,q42,q39,q23,q22,q10,q7,p8,p7) is replaced by e_1251: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q53,q49,q48,q42,q39,q25,q23,q22,q10,q7,p8,p7) 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 : *** Garbage collection starting *** GC 1981 31-Oct-2003 20:51:26, 70 ms (0%), 1838341 occupied, 23161580 free *** Garbage collection starting *** GC 1982 31-Oct-2003 20:51:28, 50 ms (0%), 1838911 occupied, 23161010 free *** Garbage collection starting *** GC 1983 31-Oct-2003 20:51:30, 50 ms (0%), 1841543 occupied, 23158377 free *** Garbage collection starting *** GC 1984 31-Oct-2003 20:51:32, 60 ms (0%), 1843393 occupied, 23156525 free 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 : *** Garbage collection starting *** GC 1985 31-Oct-2003 20:51:34, 70 ms (0%), 1837837 occupied, 23162084 free *** Garbage collection starting *** GC 1986 31-Oct-2003 20:51:36, 60 ms (0%), 1838539 occupied, 23161382 free 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 : *** Garbage collection starting *** GC 1987 31-Oct-2003 20:51:38, 60 ms (0%), 1837589 occupied, 23162332 free *** Garbage collection starting *** GC 1988 31-Oct-2003 20:51:40, 70 ms (0%), 1838615 occupied, 23161304 free *** Garbage collection starting *** GC 1989 31-Oct-2003 20:51:42, 70 ms (0%), 1840559 occupied, 23159360 free shortening by 1 term Step 1408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 1990 31-Oct-2003 20:51:44, 60 ms (0%), 1838121 occupied, 23161798 free *** Garbage collection starting *** GC 1991 31-Oct-2003 20:51:46, 60 ms (0%), 1838971 occupied, 23160948 free *** Garbage collection starting *** GC 1992 31-Oct-2003 20:51:48, 60 ms (0%), 1844679 occupied, 23155239 free shortening by 1 term 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 : *** Garbage collection starting *** GC 1993 31-Oct-2003 20:51:50, 60 ms (0%), 1838099 occupied, 23161822 free *** Garbage collection starting *** GC 1994 31-Oct-2003 20:51:53, 70 ms (0%), 1838691 occupied, 23161230 free shortening by 2 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 : *** Garbage collection starting *** GC 1995 31-Oct-2003 20:51:55, 70 ms (0%), 1838119 occupied, 23161803 free shortening by 1 term 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 : *** Garbage collection starting *** GC 1996 31-Oct-2003 20:51:57, 70 ms (0%), 1838043 occupied, 23161879 free *** Garbage collection starting *** GC 1997 31-Oct-2003 20:51:59, 50 ms (0%), 1838711 occupied, 23161211 free *** Garbage collection starting *** GC 1998 31-Oct-2003 20:52:01, 60 ms (0%), 1839095 occupied, 23160827 free *** Garbage collection starting *** GC 1999 31-Oct-2003 20:52:03, 60 ms (0%), 1841047 occupied, 23158874 free 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 2 terms 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 : *** Garbage collection starting *** GC 2000 31-Oct-2003 20:52:05, 70 ms (0%), 1838407 occupied, 23161515 free *** Garbage collection starting *** GC 2001 31-Oct-2003 20:52:08, 70 ms (0%), 1838997 occupied, 23160925 free *** Garbage collection starting *** GC 2002 31-Oct-2003 20:52:10, 70 ms (0%), 1840871 occupied, 23159050 free *** Garbage collection starting *** GC 2003 31-Oct-2003 20:52:12, 70 ms (0%), 1841703 occupied, 23158218 free *** Garbage collection starting *** GC 2004 31-Oct-2003 20:52:14, 60 ms (0%), 1842667 occupied, 23157254 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1525 and e_616. e_616: 7 terms, 14 factors, with derivatives of functions of all variables: (q56,q53,q49,q21,q8,q7,q3,p8,p7) is replaced by e_791: 7 terms, 14 factors, with derivatives of functions of all variables: (q56,q53,q49,q21,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 2005 31-Oct-2003 20:52:17, 70 ms (0%), 1839383 occupied, 23160538 free 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 : *** Garbage collection starting *** GC 2006 31-Oct-2003 20:52:19, 60 ms (0%), 1838673 occupied, 23161249 free *** Garbage collection starting *** GC 2007 31-Oct-2003 20:52:21, 70 ms (0%), 1839833 occupied, 23160089 free *** Garbage collection starting *** GC 2008 31-Oct-2003 20:52:23, 60 ms (0%), 1841961 occupied, 23157961 free *** Garbage collection starting *** GC 2009 31-Oct-2003 20:52:25, 70 ms (0%), 1842969 occupied, 23156953 free *** Garbage collection starting *** GC 2010 31-Oct-2003 20:52:28, 60 ms (0%), 1843559 occupied, 23156363 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q56 from e_1407 and e_1175. e_1175: 7 terms, 14 factors, with derivatives of functions of all variables: (q56,q53,q48,q23,q10,q9,q6,p8,p7) is replaced by e_949: 7 terms, 14 factors, with derivatives of functions of all variables: (q48,q23,q10,q9,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 2011 31-Oct-2003 20:52:30, 70 ms (0%), 1839103 occupied, 23160819 free *** Garbage collection starting *** GC 2012 31-Oct-2003 20:52:33, 60 ms (0%), 1840157 occupied, 23159764 free *** Garbage collection starting *** GC 2013 31-Oct-2003 20:52:35, 60 ms (0%), 1842421 occupied, 23157500 free *** Garbage collection starting *** GC 2014 31-Oct-2003 20:52:37, 60 ms (0%), 1843133 occupied, 23156788 free *** Garbage collection starting *** GC 2015 31-Oct-2003 20:52:39, 60 ms (0%), 1843773 occupied, 23156148 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_1149 and e_489. e_489: 6 terms, 12 factors, with derivatives of functions of all variables: (q48,q23,q10,q9,q6,q3,p8,p7) is replaced by e_993: 6 terms, 12 factors, with derivatives of functions of all variables: (q48,q23,q10,q7,q6,q3,p8,p7) 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 : *** Garbage collection starting *** GC 2016 31-Oct-2003 20:52:42, 70 ms (0%), 1840229 occupied, 23159691 free 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 : *** Garbage collection starting *** GC 2017 31-Oct-2003 20:52:44, 80 ms (0%), 1839537 occupied, 23160385 free 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 : *** Garbage collection starting *** GC 2018 31-Oct-2003 20:52:47, 60 ms (0%), 1839425 occupied, 23160497 free *** Garbage collection starting *** GC 2019 31-Oct-2003 20:52:49, 60 ms (0%), 1839863 occupied, 23160059 free *** Garbage collection starting *** GC 2020 31-Oct-2003 20:52:51, 70 ms (0%), 1840759 occupied, 23159163 free 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 : *** Garbage collection starting *** GC 2021 31-Oct-2003 20:52:54, 70 ms (0%), 1839641 occupied, 23160280 free *** Garbage collection starting *** GC 2022 31-Oct-2003 20:52:56, 70 ms (0%), 1840493 occupied, 23159426 free *** Garbage collection starting *** GC 2023 31-Oct-2003 20:52:58, 60 ms (0%), 1842077 occupied, 23157842 free *** Garbage collection starting *** GC 2024 31-Oct-2003 20:53:00, 50 ms (0%), 1843009 occupied, 23156910 free *** Garbage collection starting *** GC 2025 31-Oct-2003 20:53:03, 70 ms (0%), 1843579 occupied, 23156340 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1080. e_1080: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q55,q54,q50,q47,q41,q38,q36,q24,q4,p8,p7) is replaced by e_743: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q55,q54,q47,q41,q38,q36,q24,q22,q4,p8,p7) Step 1422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2026 31-Oct-2003 20:53:06, 60 ms (0%), 1840875 occupied, 23159047 free *** Garbage collection starting *** GC 2027 31-Oct-2003 20:53:08, 60 ms (0%), 1841907 occupied, 23158015 free *** Garbage collection starting *** GC 2028 31-Oct-2003 20:53:10, 60 ms (0%), 1843959 occupied, 23155962 free *** Garbage collection starting *** GC 2029 31-Oct-2003 20:53:13, 70 ms (0%), 1844655 occupied, 23155266 free *** Garbage collection starting *** GC 2030 31-Oct-2003 20:53:15, 60 ms (0%), 1845701 occupied, 23154220 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_743. e_743: 13 terms, 26 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q55,q54,q47,q41,q38,q36,q24,q22,q4,p8,p7) is replaced by e_551: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q55,q54,q41,q38,q36,q24,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2031 31-Oct-2003 20:53:17, 60 ms (0%), 1841221 occupied, 23158701 free *** Garbage collection starting *** GC 2032 31-Oct-2003 20:53:20, 70 ms (0%), 1842005 occupied, 23157916 free *** Garbage collection starting *** GC 2033 31-Oct-2003 20:53:22, 60 ms (0%), 1844117 occupied, 23155802 free *** Garbage collection starting *** GC 2034 31-Oct-2003 20:53:24, 70 ms (0%), 1844861 occupied, 23155058 free *** Garbage collection starting *** GC 2035 31-Oct-2003 20:53:27, 60 ms (0%), 1845447 occupied, 23154472 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_551. e_551: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q55,q54,q41,q38,q36,q24,q4,p8,p7) is replaced by e_1227: 10 terms, 20 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q54,q41,q38,q24,q9,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2036 31-Oct-2003 20:53:29, 70 ms (0%), 1841533 occupied, 23158388 free 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 : *** Garbage collection starting *** GC 2037 31-Oct-2003 20:53:32, 70 ms (0%), 1840741 occupied, 23159181 free 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 : *** Garbage collection starting *** GC 2038 31-Oct-2003 20:53:35, 70 ms (0%), 1840663 occupied, 23159259 free *** Garbage collection starting *** GC 2039 31-Oct-2003 20:53:37, 60 ms (0%), 1841413 occupied, 23158509 free *** Garbage collection starting *** GC 2040 31-Oct-2003 20:53:39, 60 ms (0%), 1843453 occupied, 23156467 free *** Garbage collection starting *** GC 2041 31-Oct-2003 20:53:42, 60 ms (0%), 1843755 occupied, 23156165 free *** Garbage collection starting *** GC 2042 31-Oct-2003 20:53:44, 60 ms (0%), 1844683 occupied, 23155237 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1004. e_1004: 8 terms, 16 factors, with derivatives of functions of all variables: (q80,q79,q54,q48,q38,q9,q8,q4,p8,p7) is replaced by e_191: 7 terms, 14 factors, with derivatives of functions of all variables: (q80,q79,q48,q38,q9,q8,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2043 31-Oct-2003 20:53:47, 60 ms (0%), 1841819 occupied, 23158101 free *** Garbage collection starting *** GC 2044 31-Oct-2003 20:53:49, 60 ms (0%), 1842731 occupied, 23157189 free 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 : *** Garbage collection starting *** GC 2045 31-Oct-2003 20:53:52, 70 ms (0%), 1841029 occupied, 23158892 free shortening by 1 term Step 1429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2046 31-Oct-2003 20:53:54, 60 ms (0%), 1841073 occupied, 23158849 free *** Garbage collection starting *** GC 2047 31-Oct-2003 20:53:57, 60 ms (0%), 1841881 occupied, 23158041 free *** Garbage collection starting *** GC 2048 31-Oct-2003 20:53:59, 50 ms (0%), 1842317 occupied, 23157605 free *** Garbage collection starting *** GC 2049 31-Oct-2003 20:54:02, 60 ms (0%), 1843967 occupied, 23155955 free *** Garbage collection starting *** GC 2050 31-Oct-2003 20:54:04, 70 ms (0%), 1845003 occupied, 23154919 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1332 and e_1212. e_1212: 6 terms, 12 factors, with derivatives of functions of all variables: (q80,q79,q76,q75,q48,q38,p8,p7) is replaced by e_1524: 6 terms, 12 factors, with derivatives of functions of all variables: (q79,q77,q76,q75,q48,q38,p8,p7) 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 : *** Garbage collection starting *** GC 2051 31-Oct-2003 20:54:07, 60 ms (0%), 1842163 occupied, 23157757 free *** Garbage collection starting *** GC 2052 31-Oct-2003 20:54:09, 60 ms (0%), 1843141 occupied, 23156779 free *** Garbage collection starting *** GC 2053 31-Oct-2003 20:54:12, 60 ms (0%), 1844813 occupied, 23155107 free *** Garbage collection starting *** GC 2054 31-Oct-2003 20:54:14, 60 ms (0%), 1845665 occupied, 23154253 free *** Garbage collection starting *** GC 2055 31-Oct-2003 20:54:17, 70 ms (0%), 1845861 occupied, 23154057 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q80 from e_1332 and e_986. e_986: 11 terms, 22 factors, with derivatives of functions of all variables: (q80,q79,q78,q77,q76,q64,q62,q49,q41,q40,q36,p8,p7) is replaced by e_838: 11 terms, 22 factors, with derivatives of functions of all variables: (q79,q78,q77,q76,q75,q64,q62,q49,q41,q40,q36,p8,p7) 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 : *** Garbage collection starting *** GC 2056 31-Oct-2003 20:54:20, 70 ms (0%), 1841891 occupied, 23158030 free *** Garbage collection starting *** GC 2057 31-Oct-2003 20:54:22, 70 ms (0%), 1842733 occupied, 23157188 free *** Garbage collection starting *** GC 2058 31-Oct-2003 20:54:25, 60 ms (0%), 1844635 occupied, 23155286 free *** Garbage collection starting *** GC 2059 31-Oct-2003 20:54:28, 60 ms (0%), 1845305 occupied, 23154616 free *** Garbage collection starting *** GC 2060 31-Oct-2003 20:54:30, 70 ms (0%), 1845977 occupied, 23153944 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1415 and e_1513. e_1513: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q78,q77,q76,q64,q62,q49,q41,q40,q36,p8,p7) is replaced by e_47: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q77,q76,q75,q64,q62,q49,q41,q40,q36,p8,p7) Step 1434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2061 31-Oct-2003 20:54:33, 60 ms (0%), 1843021 occupied, 23156900 free *** Garbage collection starting *** GC 2062 31-Oct-2003 20:54:35, 60 ms (0%), 1843991 occupied, 23155929 free *** Garbage collection starting *** GC 2063 31-Oct-2003 20:54:38, 80 ms (0%), 1846291 occupied, 23153627 free *** Garbage collection starting *** GC 2064 31-Oct-2003 20:54:41, 70 ms (0%), 1846917 occupied, 23153001 free *** Garbage collection starting *** GC 2065 31-Oct-2003 20:54:43, 60 ms (0%), 1847435 occupied, 23152483 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1011. e_1011: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q79,q78,q77,q76,q59,q57,q42,q39,q27,q24,q23,q21,p8,p7) is replaced by e_1010: 13 terms, 26 factors, with derivatives of functions of all variables: (q81,q78,q77,q76,q59,q57,q42,q39,q27,q24,q23,q21,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2066 31-Oct-2003 20:54:46, 70 ms (0%), 1842791 occupied, 23157128 free *** Garbage collection starting *** GC 2067 31-Oct-2003 20:54:49, 60 ms (0%), 1843735 occupied, 23156183 free *** Garbage collection starting *** GC 2068 31-Oct-2003 20:54:51, 80 ms (0%), 1844777 occupied, 23155140 free *** Garbage collection starting *** GC 2069 31-Oct-2003 20:54:54, 70 ms (0%), 1845727 occupied, 23154190 free *** Garbage collection starting *** GC 2070 31-Oct-2003 20:54:56, 70 ms (0%), 1846147 occupied, 23153770 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q50 from e_1258 and e_1134. e_1134: 14 terms, 28 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q54,q50,q47,q41,q40,q37,q26,q25,q24,q5,p8,p7) is replaced by e_1461: 14 terms, 28 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q54,q47,q41,q40,q37,q26,q25,q24,q22,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2071 31-Oct-2003 20:55:00, 60 ms (0%), 1843583 occupied, 23156337 free shortening by 1 term 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 : *** Garbage collection starting *** GC 2072 31-Oct-2003 20:55:03, 70 ms (0%), 1842901 occupied, 23157017 free *** Garbage collection starting *** GC 2073 31-Oct-2003 20:55:06, 60 ms (0%), 1843955 occupied, 23155963 free *** Garbage collection starting *** GC 2074 31-Oct-2003 20:55:08, 60 ms (0%), 1845215 occupied, 23154701 free *** Garbage collection starting *** GC 2075 31-Oct-2003 20:55:11, 60 ms (0%), 1846173 occupied, 23153743 free *** Garbage collection starting *** GC 2076 31-Oct-2003 20:55:14, 70 ms (0%), 1846415 occupied, 23153501 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1477. e_1477: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q54,q47,q41,q40,q38,q37,q25,q24,q5,p8,p7) is replaced by e_1460: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q54,q41,q40,q38,q37,q25,q24,q22,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2077 31-Oct-2003 20:55:16, 60 ms (0%), 1844333 occupied, 23155587 free *** Garbage collection starting *** GC 2078 31-Oct-2003 20:55:19, 60 ms (0%), 1845713 occupied, 23154207 free *** Garbage collection starting *** GC 2079 31-Oct-2003 20:55:22, 70 ms (0%), 1847319 occupied, 23152599 free *** Garbage collection starting *** GC 2080 31-Oct-2003 20:55:25, 60 ms (0%), 1847673 occupied, 23152245 free *** Garbage collection starting *** GC 2081 31-Oct-2003 20:55:27, 70 ms (0%), 1847939 occupied, 23151979 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q54 from e_1418 and e_1460. e_1460: 13 terms, 26 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q54,q41,q40,q38,q37,q25,q24,q22,q5,p8,p7) is replaced by e_1454: 12 terms, 24 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q41,q40,q37,q25,q24,q22,q8,q5,p8,p7) Step 1440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2082 31-Oct-2003 20:55:30, 70 ms (0%), 1844659 occupied, 23155260 free *** Garbage collection starting *** GC 2083 31-Oct-2003 20:55:33, 60 ms (0%), 1846093 occupied, 23153825 free *** Garbage collection starting *** GC 2084 31-Oct-2003 20:55:36, 70 ms (0%), 1847465 occupied, 23152452 free *** Garbage collection starting *** GC 2085 31-Oct-2003 20:55:39, 60 ms (0%), 1847953 occupied, 23151964 free *** Garbage collection starting *** GC 2086 31-Oct-2003 20:55:41, 60 ms (0%), 1848125 occupied, 23151792 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1454. e_1454: 12 terms, 24 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q41,q40,q37,q25,q24,q22,q8,q5,p8,p7) is replaced by e_1520: 12 terms, 24 factors, with derivatives of functions of all variables: (q64,q63,q58,q55,q41,q40,q37,q25,q24,q22,q7,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2087 31-Oct-2003 20:55:44, 70 ms (0%), 1845023 occupied, 23154894 free shortening by 1 term 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 : *** Garbage collection starting *** GC 2088 31-Oct-2003 20:55:47, 70 ms (0%), 1844309 occupied, 23155611 free shortening by 1 term 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 : *** Garbage collection starting *** GC 2089 31-Oct-2003 20:55:50, 70 ms (0%), 1844269 occupied, 23155651 free *** Garbage collection starting *** GC 2090 31-Oct-2003 20:55:53, 70 ms (0%), 1845405 occupied, 23154515 free *** Garbage collection starting *** GC 2091 31-Oct-2003 20:55:56, 70 ms (0%), 1846955 occupied, 23152965 free *** Garbage collection starting *** GC 2092 31-Oct-2003 20:55:59, 70 ms (0%), 1847873 occupied, 23152047 free *** Garbage collection starting *** GC 2093 31-Oct-2003 20:56:02, 70 ms (0%), 1848317 occupied, 23151603 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q55 from e_926 and e_919. e_919: 10 terms, 20 factors, with derivatives of functions of all variables: (q64,q63,q55,q41,q40,q37,q36,q24,q22,q5,p8,p7) is replaced by e_1531: 9 terms, 18 factors, with derivatives of functions of all variables: (q64,q63,q41,q40,q37,q24,q22,q9,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2094 31-Oct-2003 20:56:05, 70 ms (0%), 1845353 occupied, 23154567 free *** Garbage collection starting *** GC 2095 31-Oct-2003 20:56:07, 70 ms (0%), 1846593 occupied, 23153327 free *** Garbage collection starting *** GC 2096 31-Oct-2003 20:56:10, 70 ms (0%), 1848623 occupied, 23151297 free *** Garbage collection starting *** GC 2097 31-Oct-2003 20:56:13, 60 ms (0%), 1849019 occupied, 23150901 free *** Garbage collection starting *** GC 2098 31-Oct-2003 20:56:16, 60 ms (0%), 1849227 occupied, 23150693 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1219 and e_1531. e_1531: 9 terms, 18 factors, with derivatives of functions of all variables: (q64,q63,q41,q40,q37,q24,q22,q9,q5,p8,p7) is replaced by e_1459: 9 terms, 18 factors, with derivatives of functions of all variables: (q64,q58,q41,q40,q37,q22,q10,q9,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2099 31-Oct-2003 20:56:19, 70 ms (0%), 1845755 occupied, 23154165 free shortening by 1 term Step 1446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2100 31-Oct-2003 20:56:22, 70 ms (0%), 1845095 occupied, 23154824 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 2101 31-Oct-2003 20:56:25, 60 ms (0%), 1850939 occupied, 23148980 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2102 31-Oct-2003 20:56:28, 60 ms (0%), 1845371 occupied, 23154549 free *** Garbage collection starting *** GC 2103 31-Oct-2003 20:56:31, 70 ms (0%), 1847113 occupied, 23152806 free *** Garbage collection starting *** GC 2104 31-Oct-2003 20:56:34, 60 ms (0%), 1848427 occupied, 23151492 free *** Garbage collection starting *** GC 2105 31-Oct-2003 20:56:37, 70 ms (0%), 1849057 occupied, 23150862 free *** Garbage collection starting *** GC 2106 31-Oct-2003 20:56:40, 60 ms (0%), 1849217 occupied, 23150702 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_1530 and e_1474. e_1474: 9 terms, 18 factors, with derivatives of functions of all variables: (q76,q64,q62,q58,q41,q40,q27,q24,q4,p8,p7) is replaced by e_996: 9 terms, 18 factors, with derivatives of functions of all variables: (q76,q64,q41,q40,q37,q27,q24,q22,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2107 31-Oct-2003 20:56:43, 70 ms (0%), 1846239 occupied, 23153681 free *** Garbage collection starting *** GC 2108 31-Oct-2003 20:56:46, 70 ms (0%), 1847869 occupied, 23152050 free shortening by 1 term 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 : *** Garbage collection starting *** GC 2109 31-Oct-2003 20:56:49, 70 ms (0%), 1845649 occupied, 23154271 free *** Garbage collection starting *** GC 2110 31-Oct-2003 20:56:52, 60 ms (0%), 1846911 occupied, 23153008 free *** Garbage collection starting *** GC 2111 31-Oct-2003 20:56:55, 60 ms (0%), 1848429 occupied, 23151490 free *** Garbage collection starting *** GC 2112 31-Oct-2003 20:56:58, 90 ms (0%), 1849295 occupied, 23150624 free *** Garbage collection starting *** GC 2113 31-Oct-2003 20:57:02, 60 ms (0%), 1849643 occupied, 23150276 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q47 from e_1506 and e_1417. e_1417: 14 terms, 28 factors, with derivatives of functions of all variables: (q75,q64,q63,q62,q53,q47,q40,q39,q38,q37,q27,q26,q24,q8,p8,p7) is replaced by e_1466: 14 terms, 28 factors, with derivatives of functions of all variables: (q75,q64,q63,q62,q53,q40,q39,q38,q37,q27,q26,q24,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 2114 31-Oct-2003 20:57:05, 70 ms (0%), 1846899 occupied, 23153021 free shortening by 1 term 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 : *** Garbage collection starting *** GC 2115 31-Oct-2003 20:57:08, 70 ms (0%), 1846191 occupied, 23153728 free *** Garbage collection starting *** GC 2116 31-Oct-2003 20:57:11, 60 ms (0%), 1847883 occupied, 23152036 free *** Garbage collection starting *** GC 2117 31-Oct-2003 20:57:14, 60 ms (0%), 1849587 occupied, 23150331 free *** Garbage collection starting *** GC 2118 31-Oct-2003 20:57:17, 70 ms (0%), 1850203 occupied, 23149715 free *** Garbage collection starting *** GC 2119 31-Oct-2003 20:57:20, 60 ms (0%), 1850839 occupied, 23149079 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_1530 and e_1386. e_1386: 13 terms, 26 factors, with derivatives of functions of all variables: (q75,q64,q63,q62,q53,q40,q39,q38,q37,q27,q23,q22,q8,p8,p7) is replaced by e_1544: 13 terms, 26 factors, with derivatives of functions of all variables: (q75,q64,q63,q58,q53,q40,q39,q38,q37,q27,q23,q22,q8,p8,p7) Step 1453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2120 31-Oct-2003 20:57:24, 70 ms (0%), 1846773 occupied, 23153146 free *** Garbage collection starting *** GC 2121 31-Oct-2003 20:57:27, 70 ms (0%), 1848351 occupied, 23151566 free *** Garbage collection starting *** GC 2122 31-Oct-2003 20:57:30, 60 ms (0%), 1850127 occupied, 23149790 free *** Garbage collection starting *** GC 2123 31-Oct-2003 20:57:33, 50 ms (0%), 1850647 occupied, 23149270 free *** Garbage collection starting *** GC 2124 31-Oct-2003 20:57:36, 70 ms (0%), 1850819 occupied, 23149098 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q64 from e_1347 and e_1465. e_1465: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q64,q63,q58,q53,q40,q39,q37,q27,q23,q8,p8,p7) is replaced by e_1547: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q63,q58,q53,q40,q39,q38,q37,q27,q23,q8,p8,p7) 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 : *** Garbage collection starting *** GC 2125 31-Oct-2003 20:57:40, 70 ms (0%), 1847827 occupied, 23152092 free *** Garbage collection starting *** GC 2126 31-Oct-2003 20:57:43, 70 ms (0%), 1849569 occupied, 23150349 free *** Garbage collection starting *** GC 2127 31-Oct-2003 20:57:46, 60 ms (0%), 1850889 occupied, 23149029 free *** Garbage collection starting *** GC 2128 31-Oct-2003 20:57:49, 60 ms (0%), 1851713 occupied, 23148205 free *** Garbage collection starting *** GC 2129 31-Oct-2003 20:57:53, 70 ms (0%), 1851977 occupied, 23147941 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1333 and e_1547. e_1547: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q63,q58,q53,q40,q39,q38,q37,q27,q23,q8,p8,p7) is replaced by e_1548: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q58,q53,q40,q39,q38,q37,q27,q23,q8,q7,p8,p7) 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 : *** Garbage collection starting *** GC 2130 31-Oct-2003 20:57:56, 70 ms (0%), 1848023 occupied, 23151896 free *** Garbage collection starting *** GC 2131 31-Oct-2003 20:57:59, 70 ms (0%), 1849839 occupied, 23150079 free *** Garbage collection starting *** GC 2132 31-Oct-2003 20:58:02, 70 ms (0%), 1851285 occupied, 23148633 free *** Garbage collection starting *** GC 2133 31-Oct-2003 20:58:06, 70 ms (0%), 1851965 occupied, 23147953 free *** Garbage collection starting *** GC 2134 31-Oct-2003 20:58:09, 60 ms (0%), 1852443 occupied, 23147475 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1548. e_1548: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q58,q53,q40,q39,q38,q37,q27,q23,q8,q7,p8,p7) is replaced by e_848: 11 terms, 22 factors, with derivatives of functions of all variables: (q75,q58,q53,q40,q39,q38,q37,q27,q23,q7,q5,p8,p7) 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 : *** Garbage collection starting *** GC 2135 31-Oct-2003 20:58:13, 60 ms (0%), 1849133 occupied, 23150785 free *** Garbage collection starting *** GC 2136 31-Oct-2003 20:58:16, 60 ms (0%), 1850181 occupied, 23149736 free *** Garbage collection starting *** GC 2137 31-Oct-2003 20:58:19, 70 ms (0%), 1851341 occupied, 23148576 free *** Garbage collection starting *** GC 2138 31-Oct-2003 20:58:22, 70 ms (0%), 1851745 occupied, 23148172 free *** Garbage collection starting *** GC 2139 31-Oct-2003 20:58:26, 60 ms (0%), 1852523 occupied, 23147394 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1037 and e_1439. e_1439: 10 terms, 20 factors, with derivatives of functions of all variables: (q81,q79,q78,q76,q56,q53,q49,q48,q23,q21,p8,p7) is replaced by e_1522: 10 terms, 20 factors, with derivatives of functions of all variables: (q81,q78,q77,q56,q53,q49,q48,q23,q21,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2140 31-Oct-2003 20:58:30, 80 ms (0%), 1847593 occupied, 23152326 free *** Garbage collection starting *** GC 2141 31-Oct-2003 20:58:34, 70 ms (0%), 1848259 occupied, 23151660 free *** Garbage collection starting *** GC 2142 31-Oct-2003 20:58:37, 70 ms (0%), 1849189 occupied, 23150730 free *** Garbage collection starting *** GC 2143 31-Oct-2003 20:58:40, 60 ms (0%), 1851081 occupied, 23148838 free *** Garbage collection starting *** GC 2144 31-Oct-2003 20:58:44, 70 ms (0%), 1851393 occupied, 23148526 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q49 from e_1169 and e_47. e_47: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q77,q76,q75,q64,q62,q49,q41,q40,q36,p8,p7) is replaced by e_1515: 10 terms, 20 factors, with derivatives of functions of all variables: (q78,q77,q76,q75,q64,q62,q41,q40,q27,q9,p8,p7) 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 : *** Garbage collection starting *** GC 2145 31-Oct-2003 20:58:48, 70 ms (0%), 1849219 occupied, 23150700 free 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 : *** Garbage collection starting *** GC 2146 31-Oct-2003 20:58:51, 70 ms (0%), 1848533 occupied, 23151385 free *** Garbage collection starting *** GC 2147 31-Oct-2003 20:58:55, 60 ms (0%), 1849597 occupied, 23150320 free *** Garbage collection starting *** GC 2148 31-Oct-2003 20:58:58, 70 ms (0%), 1851283 occupied, 23148634 free *** Garbage collection starting *** GC 2149 31-Oct-2003 20:59:01, 70 ms (0%), 1852211 occupied, 23147706 free *** Garbage collection starting *** GC 2150 31-Oct-2003 20:59:05, 60 ms (0%), 1852831 occupied, 23147086 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q78 from e_1376 and e_1114. e_1114: 9 terms, 18 factors, with derivatives of functions of all variables: (q78,q77,q76,q75,q64,q62,q57,q41,q27,p8,p7) is replaced by e_1271: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q76,q75,q64,q62,q58,q57,q41,q27,p8,p7) 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 : *** Garbage collection starting *** GC 2151 31-Oct-2003 20:59:09, 90 ms (0%), 1849875 occupied, 23150042 free 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 : *** Garbage collection starting *** GC 2152 31-Oct-2003 20:59:12, 70 ms (0%), 1849221 occupied, 23150697 free *** Garbage collection starting *** GC 2153 31-Oct-2003 20:59:16, 60 ms (0%), 1850907 occupied, 23149009 free *** Garbage collection starting *** GC 2154 31-Oct-2003 20:59:19, 70 ms (0%), 1852309 occupied, 23147607 free *** Garbage collection starting *** GC 2155 31-Oct-2003 20:59:23, 60 ms (0%), 1852619 occupied, 23147297 free *** Garbage collection starting *** GC 2156 31-Oct-2003 20:59:26, 60 ms (0%), 1853109 occupied, 23146807 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_962 and e_1494. e_1494: 10 terms, 20 factors, with derivatives of functions of all variables: (q58,q57,q37,q27,q25,q24,q22,q21,q10,q7,p8,p7) is replaced by e_1557: 10 terms, 20 factors, with derivatives of functions of all variables: (q58,q57,q37,q26,q25,q24,q23,q21,q10,q7,p8,p7) 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 : *** Garbage collection starting *** GC 2157 31-Oct-2003 20:59:30, 70 ms (0%), 1850057 occupied, 23149862 free *** Garbage collection starting *** GC 2158 31-Oct-2003 20:59:34, 60 ms (0%), 1850961 occupied, 23148958 free *** Garbage collection starting *** GC 2159 31-Oct-2003 20:59:37, 60 ms (0%), 1852897 occupied, 23147021 free *** Garbage collection starting *** GC 2160 31-Oct-2003 20:59:41, 70 ms (0%), 1853807 occupied, 23146111 free *** Garbage collection starting *** GC 2161 31-Oct-2003 20:59:45, 60 ms (0%), 1854063 occupied, 23145855 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 2162 31-Oct-2003 20:59:49, 50 ms (0%), 1857376 occupied, 23142539 free Eliminate q48 from e_993 and e_1251. e_1251: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q53,q49,q48,q42,q39,q25,q23,q22,q10,q7,p8,p7) is replaced by e_1490: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q53,q49,q42,q39,q25,q22,q10,q7,q6,q3,p8,p7) 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 2 terms 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 : *** Garbage collection starting *** GC 2163 31-Oct-2003 20:59:53, 80 ms (0%), 1850535 occupied, 23149383 free 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 : *** Garbage collection starting *** GC 2164 31-Oct-2003 20:59:57, 70 ms (0%), 1849541 occupied, 23150378 free *** Garbage collection starting *** GC 2165 31-Oct-2003 21:00:01, 90 ms (0%), 1850203 occupied, 23149716 free *** Garbage collection starting *** GC 2166 31-Oct-2003 21:00:04, 60 ms (0%), 1852263 occupied, 23147655 free *** Garbage collection starting *** GC 2167 31-Oct-2003 21:00:08, 70 ms (0%), 1853587 occupied, 23146331 free *** Garbage collection starting *** GC 2168 31-Oct-2003 21:00:12, 70 ms (0%), 1854181 occupied, 23145737 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1416 and e_1222. e_1222: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q79,q64,q63,q59,q58,q53,q37,q26,q24,q23,q22,p8,p7) is replaced by e_1470: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q79,q64,q59,q53,q47,q37,q26,q24,q23,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 2169 31-Oct-2003 21:00:17, 60 ms (0%), 1850915 occupied, 23149004 free shortening by 2 terms Step 1470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 2170 31-Oct-2003 21:00:20, 70 ms (0%), 1850181 occupied, 23149738 free *** Garbage collection starting *** GC 2171 31-Oct-2003 21:00:24, 60 ms (0%), 1850943 occupied, 23148976 free *** Garbage collection starting *** GC 2172 31-Oct-2003 21:00:28, 70 ms (0%), 1852711 occupied, 23147208 free *** Garbage collection starting *** GC 2173 31-Oct-2003 21:00:32, 60 ms (0%), 1853863 occupied, 23146056 free *** Garbage collection starting *** GC 2174 31-Oct-2003 21:00:35, 60 ms (0%), 1854475 occupied, 23145444 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q64 from e_1330 and e_1559. e_1559: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q64,q59,q53,q48,q47,q37,q26,q24,q22,p8,p7) is replaced by e_1074: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q54,q53,q48,q47,q37,q26,q24,q22,q8,p8,p7) 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 : *** Garbage collection starting *** GC 2175 31-Oct-2003 21:00:39, 70 ms (0%), 1851721 occupied, 23148198 free *** Garbage collection starting *** GC 2176 31-Oct-2003 21:00:43, 70 ms (0%), 1853505 occupied, 23146413 free *** Garbage collection starting *** GC 2177 31-Oct-2003 21:00:47, 60 ms (0%), 1855015 occupied, 23144903 free *** Garbage collection starting *** GC 2178 31-Oct-2003 21:00:51, 60 ms (0%), 1855849 occupied, 23144069 free *** Garbage collection starting *** GC 2179 31-Oct-2003 21:00:55, 60 ms (0%), 1857027 occupied, 23142890 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1247 and e_1074. e_1074: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q54,q53,q48,q47,q37,q26,q24,q22,q8,p8,p7) is replaced by e_1234: 10 terms, 20 factors, with derivatives of functions of all variables: (q54,q53,q48,q47,q37,q26,q24,q22,q8,q7,p8,p7) 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 2180 31-Oct-2003 21:00:59, 70 ms (0%), 1852359 occupied, 23147560 free *** Garbage collection starting *** GC 2181 31-Oct-2003 21:01:03, 80 ms (0%), 1853907 occupied, 23146011 free *** Garbage collection starting *** GC 2182 31-Oct-2003 21:01:07, 70 ms (0%), 1855451 occupied, 23144467 free *** Garbage collection starting *** GC 2183 31-Oct-2003 21:01:11, 60 ms (0%), 1856517 occupied, 23143401 free *** Garbage collection starting *** GC 2184 31-Oct-2003 21:01:14, 50 ms (0%), 1857041 occupied, 23142877 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1121 and e_1408. e_1408: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q79,q63,q62,q58,q57,q56,q37,q27,q25,q22,q21,p8,p7) is replaced by e_1444: 12 terms, 24 factors, with derivatives of functions of all variables: (q80,q79,q62,q57,q56,q50,q37,q27,q25,q22,q21,q9,p8,p7) 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 : *** Garbage collection starting *** GC 2185 31-Oct-2003 21:01:19, 60 ms (0%), 1852809 occupied, 23147106 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 2186 31-Oct-2003 21:01:23, 70 ms (0%), 1852033 occupied, 23147887 free *** Garbage collection starting *** GC 2187 31-Oct-2003 21:01:27, 70 ms (0%), 1853347 occupied, 23146572 free *** Garbage collection starting *** GC 2188 31-Oct-2003 21:01:31, 60 ms (0%), 1855283 occupied, 23144636 free *** Garbage collection starting *** GC 2189 31-Oct-2003 21:01:35, 70 ms (0%), 1855643 occupied, 23144276 free *** Garbage collection starting *** GC 2190 31-Oct-2003 21:01:39, 60 ms (0%), 1856013 occupied, 23143906 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q62 from e_1320 and e_704. e_704: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q62,q57,q56,q50,q49,q37,q27,q25,q22,p8,p7) is replaced by e_1568: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q56,q55,q50,q49,q37,q27,q25,q22,q9,p8,p7) 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 : *** Garbage collection starting *** GC 2191 31-Oct-2003 21:01:43, 60 ms (0%), 1853243 occupied, 23146676 free *** Garbage collection starting *** GC 2192 31-Oct-2003 21:01:47, 70 ms (0%), 1855093 occupied, 23144825 free *** Garbage collection starting *** GC 2193 31-Oct-2003 21:01:51, 70 ms (0%), 1856629 occupied, 23143287 free *** Garbage collection starting *** GC 2194 31-Oct-2003 21:01:55, 80 ms (0%), 1857389 occupied, 23142526 free *** Garbage collection starting *** GC 2195 31-Oct-2003 21:01:59, 70 ms (0%), 1857817 occupied, 23142098 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q79 from e_1324 and e_1568. e_1568: 10 terms, 20 factors, with derivatives of functions of all variables: (q79,q56,q55,q50,q49,q37,q27,q25,q22,q9,p8,p7) is replaced by e_1569: 10 terms, 20 factors, with derivatives of functions of all variables: (q56,q55,q50,q49,q37,q27,q25,q22,q10,q9,p8,p7) 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 : *** Garbage collection starting *** GC 2196 31-Oct-2003 21:02:04, 70 ms (0%), 1853729 occupied, 23146189 free *** Garbage collection starting *** GC 2197 31-Oct-2003 21:02:08, 70 ms (0%), 1855447 occupied, 23144467 free *** Garbage collection starting *** GC 2198 31-Oct-2003 21:02:12, 70 ms (0%), 1858513 occupied, 23141401 free *** Garbage collection starting *** GC 2199 31-Oct-2003 21:02:16, 60 ms (0%), 1859925 occupied, 23139989 free *** Garbage collection starting *** GC 2200 31-Oct-2003 21:02:20, 60 ms (0%), 1861157 occupied, 23138757 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q63 from e_1416 and e_1129. e_1129: 17 terms, 34 factors, with derivatives of functions of all variables: (q64,q63,q62,q59,q58,q57,q56,q53,q50,q49,q48,q47,q37,q26,q25,q23,q21,p8,p7) is replaced by e_1570: 17 terms, 34 factors, with derivatives of functions of all variables: (q64,q62,q59,q58,q57,q56,q53,q50,q49,q48,q47,q37,q26,q25,q23,q21,q8,p8,p7) 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 : *** Garbage collection starting *** GC 2201 31-Oct-2003 21:02:25, 70 ms (0%), 1854101 occupied, 23145818 free 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 : *** Garbage collection starting *** GC 2202 31-Oct-2003 21:02:29, 70 ms (0%), 1853393 occupied, 23146525 free shortening by 2 terms 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 : *** Garbage collection starting *** GC 2203 31-Oct-2003 21:02:33, 80 ms (0%), 1853365 occupied, 23146554 free shortening by 3 terms 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 3 terms 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 : *** Garbage collection starting *** GC 2204 31-Oct-2003 21:02:35, 70 ms (0%), 1840439 occupied, 23159483 free *** Garbage collection starting *** GC 2205 31-Oct-2003 21:02:37, 70 ms (0%), 1841615 occupied, 23158307 free *** Garbage collection starting *** GC 2206 31-Oct-2003 21:02:38, 60 ms (0%), 1843697 occupied, 23156225 free *** Garbage collection starting *** GC 2207 31-Oct-2003 21:02:39, 60 ms (0%), 1845175 occupied, 23154747 free *** Garbage collection starting *** GC 2208 31-Oct-2003 21:02:41, 60 ms (0%), 1846249 occupied, 23153673 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_1538 and e_398. e_398: 8 terms, 16 factors, with derivatives of functions of all variables: (q76,q64,q41,q40,q39,q24,q5,q4,p8,p7) is replaced by e_1546: 8 terms, 16 factors, with derivatives of functions of all variables: (q76,q64,q40,q26,q9,q8,q5,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2209 31-Oct-2003 21:02:45, 60 ms (0%), 1841441 occupied, 23158481 free 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 : *** Garbage collection starting *** GC 2210 31-Oct-2003 21:02:46, 50 ms (0%), 1840977 occupied, 23158945 free *** Garbage collection starting *** GC 2211 31-Oct-2003 21:02:48, 70 ms (0%), 1842239 occupied, 23157683 free *** Garbage collection starting *** GC 2212 31-Oct-2003 21:02:49, 50 ms (0%), 1844681 occupied, 23155240 free *** Garbage collection starting *** GC 2213 31-Oct-2003 21:02:50, 60 ms (0%), 1845853 occupied, 23154068 free *** Garbage collection starting *** GC 2214 31-Oct-2003 21:02:52, 60 ms (0%), 1846955 occupied, 23152965 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_1220 and e_1025. e_1025: 7 terms, 14 factors, with derivatives of functions of all variables: (q75,q64,q40,q26,q8,q5,q4,p8,p7) is replaced by e_1385: 7 terms, 14 factors, with derivatives of functions of all variables: (q75,q64,q40,q26,q7,q5,q4,p8,p7) 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 : *** Garbage collection starting *** GC 2215 31-Oct-2003 21:02:53, 70 ms (0%), 1842671 occupied, 23157251 free *** Garbage collection starting *** GC 2216 31-Oct-2003 21:02:55, 60 ms (0%), 1843919 occupied, 23156003 free *** Garbage collection starting *** GC 2217 31-Oct-2003 21:02:56, 60 ms (0%), 1846531 occupied, 23153389 free *** Garbage collection starting *** GC 2218 31-Oct-2003 21:02:58, 50 ms (0%), 1848183 occupied, 23151736 free *** Garbage collection starting *** GC 2219 31-Oct-2003 21:02:59, 60 ms (0%), 1848903 occupied, 23151016 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 2220 31-Oct-2003 21:03:05, 90 ms (0%), 1857084 occupied, 23142826 free Eliminate q54 from e_1448 and e_755. e_755: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q63,q59,q54,q48,q41,q26,q10,q7,p8,p7) is replaced by e_1384: 9 terms, 18 factors, with derivatives of functions of all variables: (q77,q63,q59,q38,q26,q23,q10,q8,q7,p8,p7) 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 : *** Garbage collection starting *** GC 2221 31-Oct-2003 21:03:08, 60 ms (0%), 1843045 occupied, 23156877 free *** Garbage collection starting *** GC 2222 31-Oct-2003 21:03:09, 60 ms (0%), 1844189 occupied, 23155733 free *** Garbage collection starting *** GC 2223 31-Oct-2003 21:03:11, 70 ms (0%), 1846131 occupied, 23153788 free *** Garbage collection starting *** GC 2224 31-Oct-2003 21:03:12, 70 ms (0%), 1847629 occupied, 23152290 free *** Garbage collection starting *** GC 2225 31-Oct-2003 21:03:14, 60 ms (0%), 1850097 occupied, 23149818 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q56 from e_1093 and e_1476. e_1476: 10 terms, 20 factors, with derivatives of functions of all variables: (q56,q53,q42,q39,q37,q27,q24,q22,q10,q7,p8,p7) is replaced by e_1563: 10 terms, 20 factors, with derivatives of functions of all variables: (q53,q42,q38,q37,q27,q23,q22,q10,q9,q7,p8,p7) 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 : *** Garbage collection starting *** GC 2226 31-Oct-2003 21:03:19, 70 ms (0%), 1843349 occupied, 23156573 free *** Garbage collection starting *** GC 2227 31-Oct-2003 21:03:21, 60 ms (0%), 1844219 occupied, 23155703 free *** Garbage collection starting *** GC 2228 31-Oct-2003 21:03:22, 60 ms (0%), 1846391 occupied, 23153530 free *** Garbage collection starting *** GC 2229 31-Oct-2003 21:03:24, 60 ms (0%), 1850097 occupied, 23149823 free *** Garbage collection starting *** GC 2230 31-Oct-2003 21:03:25, 60 ms (0%), 1852877 occupied, 23147042 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_1240 and e_1563. e_1563: 10 terms, 20 factors, with derivatives of functions of all variables: (q53,q42,q38,q37,q27,q23,q22,q10,q9,q7,p8,p7) is replaced by e_1077: 10 terms, 20 factors, with derivatives of functions of all variables: (q53,q42,q38,q37,q27,q23,q22,q9,q7,q4,p8,p7) 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 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 : *** Garbage collection starting *** GC 2231 31-Oct-2003 21:03:27, 60 ms (0%), 1842955 occupied, 23156965 free 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 : *** Garbage collection starting *** GC 2232 31-Oct-2003 21:03:29, 70 ms (0%), 1843083 occupied, 23156839 free *** Garbage collection starting *** GC 2233 31-Oct-2003 21:03:30, 60 ms (0%), 1844011 occupied, 23155910 free *** Garbage collection starting *** GC 2234 31-Oct-2003 21:03:32, 60 ms (0%), 1846405 occupied, 23153514 free *** Garbage collection starting *** GC 2235 31-Oct-2003 21:03:34, 70 ms (0%), 1851499 occupied, 23148415 free *** Garbage collection starting *** GC 2236 31-Oct-2003 21:03:35, 60 ms (0%), 1854141 occupied, 23145771 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_962 and e_1532. e_1532: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q53,q50,q42,q39,q27,q24,q22,q21,q7,q3,p8,p7) is replaced by e_971: 11 terms, 22 factors, with derivatives of functions of all variables: (q56,q53,q50,q42,q39,q26,q25,q23,q22,q7,q3,p8,p7) 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 : *** Garbage collection starting *** GC 2237 31-Oct-2003 21:03:40, 70 ms (0%), 1844481 occupied, 23155441 free *** Garbage collection starting *** GC 2238 31-Oct-2003 21:03:42, 70 ms (0%), 1845767 occupied, 23154155 free *** Garbage collection starting *** GC 2239 31-Oct-2003 21:03:43, 80 ms (0%), 1848117 occupied, 23151805 free *** Garbage collection starting *** GC 2240 31-Oct-2003 21:03:45, 60 ms (0%), 1853103 occupied, 23146817 free *** Garbage collection starting *** GC 2241 31-Oct-2003 21:03:47, 70 ms (0%), 1854317 occupied, 23145603 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 2242 31-Oct-2003 21:03:54, 60 ms (0%), 1845336 occupied, 23154586 free *** Garbage collection starting *** GC 2243 31-Oct-2003 21:04:03, 50 ms (0%), 1847299 occupied, 23152623 free *** Garbage collection starting *** GC 2244 31-Oct-2003 21:04:15, 50 ms (0%), 1850292 occupied, 23149624 free --- Factorization to subcases leading to substitutions : factorizing e_946 we get the alternative equations : 0=p7 0=q3 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_1053 : 0=p7 e_1101,e_1037,e_1422,e_1420,e_1436,e_1376,e_1410,e_1418,e_926,e_1428,e_1291, e_1034,e_987,e_1248,e_829,e_1506,e_1537,e_1258,e_510,e_509,e_691,e_885,e_951, e_896,e_1104,e_978,e_77,e_954,e_772,e_1043,e_735,e_1100 are consequences of e_1053 Step 1491: Hot list of urgent steps : The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q83,q82,q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68, q67,q66,q65,q64,q63,q62,q61,q60,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,p8,p7 New ordering: q83,q82,q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68, q67,q66,q65,q64,q63,q62,q61,q60,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,p7,p8 e_1143 is a consequence of e_1393. e_218 is a consequence of e_1413. e_975 is a consequence of e_961. e_1252 is a consequence of e_852. e_1516 is a consequence of e_1446. e_1335 is a consequence of e_1457. e_1482 is a consequence of e_1430. e_1329 is a consequence of e_1446. Substitution of p7 found in e_1053 : p7=0 Step 1492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2245 31-Oct-2003 21:04:25, 60 ms (0%), 1820851 occupied, 23179073 free The list of inequalities got extended by: An expression with 80 terms The list of inequalities got extended by: An expression with 82 terms The list of inequalities got extended by: An expression with 66 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q11 found in e_705 : q11=0 Step 1493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 79 terms The list of inequalities got extended by: An expression with 81 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 65 terms Substitution of q15 found in e_1201 : q15=0 Step 1494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2246 31-Oct-2003 21:04:25, 60 ms (0%), 1875657 occupied, 23124262 free The list of inequalities got extended by: An expression with 78 terms The list of inequalities got extended by: An expression with 80 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 64 terms Substitution of q30 found in e_1136 : q30=0 Step 1495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 77 terms The list of inequalities got extended by: An expression with 79 terms The list of inequalities got extended by: An expression with 63 terms Substitution of q14 found in e_1108 : q14=0 Step 1496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 63 terms The list of inequalities got extended by: An expression with 76 terms *** Garbage collection starting *** GC 2247 31-Oct-2003 21:04:26, 70 ms (0%), 1856947 occupied, 23142969 free The list of inequalities got extended by: An expression with 78 terms The list of inequalities got extended by: An expression with 62 terms Substitution of q12 found in e_966 : q12=0 Step 1497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 75 terms The list of inequalities got extended by: An expression with 77 terms The list of inequalities got extended by: An expression with 61 terms Substitution of q16 found in e_1378 : q16=0 Step 1498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 74 terms The list of inequalities got extended by: An expression with 76 terms The list of inequalities got extended by: An expression with 60 terms Substitution of q31 found in e_1412 : q31=0 Step 1499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 60 terms *** Garbage collection starting *** GC 2248 31-Oct-2003 21:04:26, 60 ms (0%), 1853105 occupied, 23146811 free The list of inequalities got extended by: An expression with 73 terms The list of inequalities got extended by: An expression with 75 terms Substitution of q13 found in e_1427 : q13=0 Step 1500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 72 terms The list of inequalities got extended by: An expression with 74 terms Substitution of q17 found in e_1393 : q17=0 Step 1501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 71 terms The list of inequalities got extended by: An expression with 73 terms Substitution of q32 found in e_1419 : q32=0 Step 1502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 57 terms *** Garbage collection starting *** GC 2249 31-Oct-2003 21:04:26, 70 ms (0%), 1851751 occupied, 23148164 free The list of inequalities got extended by: An expression with 70 terms The list of inequalities got extended by: An expression with 72 terms Substitution of q20 found in e_1472 : q20=0 Step 1503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 71 terms Substitution of q19 found in e_472 : q19=0 Step 1504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 55 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q33 found in e_1501 : q33=0 Step 1505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 55 terms The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 69 terms Substitution of q35 found in e_541 : q35=0 Step 1506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2250 31-Oct-2003 21:04:27, 70 ms (0%), 1829685 occupied, 23170236 free The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 66 terms The list of inequalities got extended by: An expression with 68 terms Substitution of q18 found in e_1032 : q18=0 Step 1507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 67 terms Substitution of q8 found in e_1457 : q8=0 Step 1508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q9 found in e_1430 : q9=0 Step 1509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 63 terms The list of inequalities got extended by: An expression with 65 terms e_1323 is a consequence of e_961. e_994 is a consequence of e_961. e_1446 is a consequence of e_961. e_836 is a consequence of e_961. Substitution of q6 found in e_1413 : q6=0 Step 1510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2251 31-Oct-2003 21:04:27, 60 ms (0%), 1830397 occupied, 23169527 free The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 64 terms e_1381 is a consequence of e_1556. e_1097 is a consequence of e_1519. Substitution of q3 found in e_961 : q3=0 Step 1511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 63 terms Substitution of q2 found in e_861 : q2=0 Step 1512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 62 terms Substitution of q1 found in e_1509 : q1=0 Step 1513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 61 terms Substitution of q37 found in e_1529 : q37=0 Step 1514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 58 terms *** Garbage collection starting *** GC 2252 31-Oct-2003 21:04:28, 60 ms (0%), 1843309 occupied, 23156613 free The list of inequalities got extended by: An expression with 60 terms e_1496 is a consequence of e_1441. e_998 is a consequence of e_1191. Substitution of q23 found in e_1285 : q23=0 Step 1515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 48 terms The list of inequalities got extended by: An expression with 48 terms The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 59 terms Substitution of q4 found in e_852 : q4=0 Step 1516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 47 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 58 terms Substitution of q44 found in e_1414 : q44=0 Step 1517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 47 terms The list of inequalities got extended by: An expression with 55 terms The list of inequalities got extended by: An expression with 57 terms Substitution of q43 found in e_1453 : q43=0 Step 1518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 46 terms The list of inequalities got extended by: An expression with 46 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 56 terms e_1402 is a consequence of e_1155. Substitution of q57 found in e_1389 : q57=0 Step 1519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 55 terms Substitution of q49 found in e_166 : q49=0 Step 1520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 44 terms The list of inequalities got extended by: An expression with 44 terms *** Garbage collection starting *** GC 2253 31-Oct-2003 21:04:29, 60 ms (0%), 1830207 occupied, 23169715 free The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 54 terms e_1564 is a consequence of e_799. e_1434 is a consequence of e_799. e_1508 is a consequence of e_799. Substitution of q25 found in e_1155 : q25=0 Step 1521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 43 terms The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 53 terms Substitution of q64 found in e_1401 : q64=0 Step 1522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 43 terms The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 52 terms e_952 is a consequence of e_1029. e_950 is a consequence of e_1383. Substitution of q5 found in e_712 : q5=0 Step 1523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 51 terms e_1571 is a consequence of e_1519. e_1505 is a consequence of e_1566. Substitution of q62 found in e_1443 : q62=0 Step 1524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 48 terms The list of inequalities got extended by: An expression with 50 terms e_1206 is a consequence of e_1191. Substitution of q48 found in e_1216 : q48=0 Step 1525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 47 terms The list of inequalities got extended by: An expression with 49 terms e_1380 is a consequence of e_1383. e_1473 is a consequence of e_1029. Substitution of q26 found in e_1191 : q26=0 Step 1526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 46 terms The list of inequalities got extended by: An expression with 48 terms Substitution of q59 found in e_1441 : q59=0 Step 1527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 45 terms The list of inequalities got extended by: An expression with 47 terms Substitution of q22 found in e_1507 : q22=0 Step 1528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: An expression with 37 terms *** Garbage collection starting *** GC 2254 31-Oct-2003 21:04:29, 60 ms (0%), 1821939 occupied, 23177982 free The list of inequalities got extended by: An expression with 44 terms The list of inequalities got extended by: An expression with 46 terms Substitution of q34 found in e_1017 : q34=0 Step 1529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 43 terms The list of inequalities got extended by: An expression with 45 terms e_1227 is a consequence of e_538. Substitution of q38 found in e_1293 : q38=0 Step 1530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 42 terms The list of inequalities got extended by: An expression with 44 terms e_1228 is a consequence of e_538. e_1450 is a consequence of e_1301. Substitution of q27 found in e_1387 : q27=0 Step 1531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 43 terms e_1080 is a consequence of e_1004. e_1297 is a consequence of e_1301. Substitution of q55 found in e_1566 : q55=0 Step 1532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 40 terms The list of inequalities got extended by: An expression with 42 terms e_1400 is a consequence of e_1321. Substitution of q40 found in e_1301 : q40=0 Step 1533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 39 terms The list of inequalities got extended by: An expression with 41 terms e_1280 is a consequence of e_979. e_551 is a consequence of e_1519. Substitution of q24 found in e_538 : q24=0 Step 1534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 38 terms The list of inequalities got extended by: An expression with 40 terms e_1257 is a consequence of e_1243. Substitution of q41 found in e_979 : q41=0 Step 1535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 37 terms The list of inequalities got extended by: An expression with 39 terms e_1016 is a consequence of e_1004. e_14 is a consequence of e_1004. e_1456 is a consequence of e_1363. Substitution of q58 found in e_1519 : q58=0 Step 1536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 38 terms e_1138 is a consequence of e_1455. Substitution of q75 found in e_6 : q75=0 Step 1537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 35 terms The list of inequalities got extended by: An expression with 37 terms e_1562 is a consequence of e_1455. e_616 is a consequence of e_1455. Substitution of q81 found in e_1556 : q81=0 Step 1538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 34 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q78 found in e_1455 : q78=0 Step 1539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 33 terms The list of inequalities got extended by: An expression with 35 terms Substitution of q66 found in e_1021 : q66=0 Step 1540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 32 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q70 found in e_1488 : q70=0 Step 1541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 31 terms The list of inequalities got extended by: An expression with 33 terms Substitution of q72 found in e_1565 : q72=0 Step 1542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 30 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q73 found in e_1275 : q73=0 Step 1543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 31 terms Substitution of q69 found in e_1163 : q69=0 Step 1544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 28 terms The list of inequalities got extended by: An expression with 30 terms Substitution of q65 found in e_1199 : q65=0 Step 1545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms *** Garbage collection starting *** GC 2255 31-Oct-2003 21:04:30, 50 ms (0%), 1806211 occupied, 23193713 free The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 29 terms e_1264 is a consequence of e_1431. Substitution of q71 found in e_1255 : q71=0 Step 1546: Hot list 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 24 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 28 terms Substitution of q74 found in e_1452 : q74=0 Step 1547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q39 found in e_1029 : q39=0 Step 1548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 26 terms e_1492 is a consequence of e_1304. Substitution of q77 found in e_1406 : q77=0 Step 1549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 25 terms e_1399 is a consequence of e_1051. e_1504 is a consequence of e_1462. Substitution of q76 found in e_1304 : q76=0 Step 1550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 24 terms e_753 is a consequence of e_1066. Substitution of q10 found in e_1449 : q10=0 Step 1551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q28 found in e_1282 : q28=0 Step 1552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms 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 22 terms e_1175 is a consequence of e_1047. Substitution of q29 found in e_1352 : q29=0 Step 1553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q21 found in e_799 : q21=0 Step 1554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 20 terms e_743 is a consequence of e_1363. Substitution of q54 found in e_1243 : q54=0 Step 1555: Hot list 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 15 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 19 terms e_191 is a consequence of e_949. e_1231 is a consequence of e_1051. e_1478 is a consequence of e_1351. e_1058 is a consequence of e_1351. e_1118 is a consequence of e_1066. Substitution of q7 found in e_1383 : q7=0 Step 1556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms 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 18 terms e_1256 is a consequence of e_1351. e_1124 is a consequence of e_949. Substitution of q63 found in e_1066 : q63=0 Step 1557: Hot list 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 15 terms The list of inequalities got extended by: An expression with 17 terms e_791 is a consequence of e_1363. Substitution of q50 found in e_1004 : q50=0 Step 1558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q47 found in e_1363 : q47=0 Step 1559: Hot list 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 13 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q36 found in e_1321 : q36=0 Step 1560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q52 found in e_1500 : q52=0 Step 1561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q67 found in e_1047 : q67=0 Step 1562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms 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 12 terms e_1499 is a consequence of e_1411. Substitution of q61 found in e_1265 : q61=0 Step 1563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q68 found in e_1431 : q68=0 Step 1564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 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 Substitution of q51 found in e_1535 : q51=0 Step 1565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 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 The list of inequalities got extended by: An expression with 9 terms e_489 is a consequence of e_1351. e_727 is a consequence of e_949. Substitution of q56 found in e_1549 : q56=0 Step 1566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms 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 8 terms e_1105 is a consequence of e_949. Substitution of q42 found in e_1351 : q42=0 Step 1567: Hot list 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 The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 7 terms Substitution of q79 found in e_1051 : q79=0 Step 1568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q80 found in e_1462 : q80=0 Step 1569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: g0168*q60 + g0182*q46 + g0183*q45 The list of inequalities got extended by: An expression with 5 terms Substitution of q53 found in e_949 : q53=0 Step 1570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0075*q82 + g0092*q60 + g0105*q45 The list of inequalities got extended by: g0003*q82 + g0020*q60 + g0033*q45 The list of inequalities got extended by: g0168*q60 + g0183*q45 The list of inequalities got extended by: An expression with 4 terms Substitution of q46 found in e_1411 : q46=0 Step 1571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0075*q82 + g0105*q45 The list of inequalities got extended by: g0003*q82 + g0033*q45 The list of inequalities got extended by: q45 The list of inequalities got extended by: q60 The list of inequalities got extended by: g0234*q83 + g0235*q82 + g0272*q45 Substitution of q60 found in e_807 : q60=0 leads to a contradiction in : 0=2*q45 - q60 Back to level : 1.1.1.1.1.1. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p7 New level : 1.1.1.1.1.1.2. CRACK is now called with the new equation e_1053 : 0=q3 Step 1572: Hot list of urgent steps : The list of inequalities got extended by: An expression with 82 terms The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 80 terms Substitution of q3 found in e_1053 : q3=0 Step 1573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2256 31-Oct-2003 21:04:31, 30 ms (0%), 1337846 occupied, 23662105 free The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 81 terms The list of inequalities got extended by: An expression with 66 terms The list of inequalities got extended by: An expression with 79 terms Substitution of q11 found in e_510 : q11=0 Step 1574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 66 terms The list of inequalities got extended by: An expression with 80 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 78 terms Substitution of q5 found in e_509 : q5=0 Step 1575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 65 terms *** Garbage collection starting *** GC 2257 31-Oct-2003 21:04:31, 30 ms (0%), 1336744 occupied, 23663205 free The list of inequalities got extended by: An expression with 79 terms The list of inequalities got extended by: An expression with 77 terms Substitution of q2 found in e_691 : q2=0 Step 1576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 78 terms The list of inequalities got extended by: An expression with 76 terms Substitution of q14 found in e_885 : q14=0 Step 1577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 63 terms The list of inequalities got extended by: An expression with 77 terms The list of inequalities got extended by: An expression with 75 terms Substitution of q1 found in e_951 : q1=0 Step 1578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2258 31-Oct-2003 21:04:32, 30 ms (0%), 1331694 occupied, 23668257 free The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 76 terms The list of inequalities got extended by: An expression with 74 terms Substitution of q12 found in e_896 : q12=0 Step 1579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 63 terms The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 75 terms The list of inequalities got extended by: An expression with 73 terms Substitution of q30 found in e_1104 : q30=0 Step 1580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 74 terms *** Garbage collection starting *** GC 2259 31-Oct-2003 21:04:32, 30 ms (0%), 1332126 occupied, 23667825 free The list of inequalities got extended by: An expression with 72 terms Substitution of q15 found in e_978 : q15=0 Step 1581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 73 terms The list of inequalities got extended by: An expression with 71 terms Substitution of q16 found in e_77 : q16=0 Step 1582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 72 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q4 found in e_954 : q4=0 Step 1583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 71 terms *** Garbage collection starting *** GC 2260 31-Oct-2003 21:04:32, 30 ms (0%), 1351760 occupied, 23648191 free The list of inequalities got extended by: An expression with 69 terms Substitution of q13 found in e_772 : q13=0 Step 1584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 70 terms The list of inequalities got extended by: An expression with 68 terms Substitution of q6 found in e_1043 : q6=0 Step 1585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 67 terms Substitution of q81 found in e_735 : q81=0 Step 1586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q31 found in e_1100 : q31=0 Step 1587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 2261 31-Oct-2003 21:04:33, 30 ms (0%), 1344052 occupied, 23655898 free The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q50 by an expression in q22 found in e_1258 : q50=q22 Step 1588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q80 by an expression in q7 found in e_1393 : q80= - 2*q7 Step 1589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q44 by an expression in q28 found in e_1356 : q44=q28 Step 1590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms *** Garbage collection starting *** GC 2262 31-Oct-2003 21:04:33, 30 ms (0%), 1354110 occupied, 23645841 free The list of inequalities got extended by: An expression with 66 terms Substitution of q43 by an expression in q29 found in e_994 : q43= - q29 Step 1591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q79 by an expression in q7 found in e_166 : q79=q7 Step 1592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms e_538 is a consequence of e_6. Substitution of q10 by an expression in q7 found in e_1206 : q10= - q7 Step 1593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q52 by an expression in q45 found in e_1022 : q52= - q45 Step 1594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms *** Garbage collection starting *** GC 2263 31-Oct-2003 21:04:34, 40 ms (0%), 1358806 occupied, 23641144 free The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q51 by an expression in q46 found in e_1303 : q51=q46 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 : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms e_1380 is a consequence of e_1540. Substitution of q33 by an expression in q19 found in e_1034 : q33= - q19 Step 1596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms e_1351 is a consequence of e_1540. Substitution of q20 by an expression in q19 found in e_829 : 1 q20= - ---*q19 3 Step 1597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms e_807 is a consequence of e_1228. Substitution of q35 by an expression in q18 found in e_987 : 1 q35= - ---*q18 3 Step 1598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms *** Garbage collection starting *** GC 2264 31-Oct-2003 21:04:35, 30 ms (0%), 1360150 occupied, 23639801 free The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q34 by an expression in q17 found in e_1248 : q34= - 3*q17 Step 1599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms e_1228 is a consequence of e_1349. Substitution of q18 by an expression in q17 found in e_1537 : q18= - 3*q17 Step 1600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q47 by an expression in q22 found in e_1506 : q47=q22 Step 1601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 67 terms Substitution of q73 by an expression in q72, q29 found in e_1410 : q73=2*q29 + q72 Step 1602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 70 terms *** Garbage collection starting *** GC 2265 31-Oct-2003 21:04:35, 30 ms (0%), 1352900 occupied, 23647050 free The list of inequalities got extended by: An expression with 68 terms Substitution of q54 by an expression in q38, q8 found in e_1418 : q54=2*q38 - q8 Step 1603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 58 terms The list of inequalities got extended by: An expression with 71 terms The list of inequalities got extended by: An expression with 69 terms Substitution of q55 by an expression in q36, q9 found in e_926 : q55=2*q36 - q9 Step 1604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 72 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q74 by an expression in q71, q28 found in e_1428 : q74=2*q28 - q71 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 : The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 73 terms The list of inequalities got extended by: An expression with 71 terms Substitution of q78 by an expression in q75, q8 found in e_1456 : q78= - q75 + 2*q8 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 : The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 74 terms The list of inequalities got extended by: An expression with 72 terms *** Garbage collection starting *** GC 2266 31-Oct-2003 21:04:36, 30 ms (0%), 1332866 occupied, 23667084 free Substitution of q42 by an expression in q25, q7 found in e_1508 : 5 q42= - q25 - ---*q7 2 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 : The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 75 terms The list of inequalities got extended by: An expression with 73 terms e_1255 is a consequence of e_1411 Substitution of q77 by an expression in q76, q7 found in e_1138 : q77= - 2*q7 + q76 Step 1608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 67 terms e_1175 is a consequence of e_791. e_949 is a consequence of e_1482. e_489 is a consequence of e_791.e_1482 is a consequence of e_1381 e_791 is a consequence of e_1016 e_1507 is a consequence of e_1420. Substitution of q7 found in e_1411 : q7=0 Step 1609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 65 terms e_1066 is a consequence of e_1492. Substitution of q9 found in e_1381 : q9=0 Step 1610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 53 terms *** Garbage collection starting *** GC 2267 31-Oct-2003 21:04:37, 30 ms (0%), 1372724 occupied, 23627226 free The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_1518 is a consequence of e_1335. e_1492 is a consequence of e_1459. Substitution of q8 found in e_1016 : q8=0 Step 1611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_1207 is a consequence of e_1547. Substitution of q56 by an expression in q53 found in e_1335 : q56=q53 Step 1612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_551 is a consequence of e_1516. Substitution of q49 by an expression in q21 found in e_1387 : q49=2*q21 Step 1613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_1124 is a consequence of e_975. e_1293 is a consequence of e_1571. Substitution of q48 by an expression in q23 found in e_1516 : q48=2*q23 Step 1614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms Substitution of q53 by an expression in q37 found in e_975 : q53=q37 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 : *** Garbage collection starting *** GC 2268 31-Oct-2003 21:04:37, 30 ms (0%), 1364802 occupied, 23635148 free The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 66 terms Substitution of q76 by an expression in q63, q57, q25 found in e_1420 : q76= - 2*q25 + 2*q57 - q63 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 : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 72 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q75 by an expression in q62, q58, q40 found in e_1497 : q75= - 2*q40 + q58 + 2*q62 Step 1617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 72 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q40 by an expression in q27 found in e_1274 : q40=q27 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 : The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 77 terms The list of inequalities got extended by: An expression with 75 terms Substitution of q63 by an expression in q59, q57, q39, q25 found in e_1470 : q63= - q25 + q39 + q57 - q59 Step 1619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 77 terms *** Garbage collection starting *** GC 2269 31-Oct-2003 21:04:38, 30 ms (0%), 1379800 occupied, 23620150 free The list of inequalities got extended by: An expression with 75 terms e_1068 is a consequence of e_1539. e_1476 is a consequence of e_1222. Substitution of q39 by an expression in q26 found in e_1436 : q39=q26 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 : The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 67 terms e_1222 is a consequence of e_1559. e_831 is a consequence of e_1559. Substitution of q59 by an expression in q57, q26, q25 found in e_1489 : q59=q25 + q26 - q57 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 : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_398 is a consequence of e_1408. e_1570 is a consequence of e_1000. Substitution of q62 by an expression in q58, q27 found in e_1559 : 1 q62=q27 - ---*q58 2 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms Substitution of q64 by an expression in q58, q24 found in e_1408 : 1 q64= - q24 + ---*q58 2 Step 1623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_735 is a consequence of e_1074. e_946 is a consequence of e_1241. Substitution of q41 by an expression in q24 found in e_1505 : q41= - q24 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms Substitution of q19 by an expression in q17, p8, p7 found in e_1349 : - 3*p8*q17 q19=------------- p7 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 54 terms *** Garbage collection starting *** GC 2270 31-Oct-2003 21:04:39, 40 ms (0%), 1387616 occupied, 23612335 free The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_1258 is a consequence of e_1281. Substitution of q17 by an expression in q32, p8, p7 found in e_1164 : p8*q32 q17=-------- p7 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_1539 is a consequence of e_77. e_1393 is a consequence of e_1398. Substitution of q25 by an expression in q27, p8, p7 found in e_1077 : p8*q27 q25=-------- p7 Step 1627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_885 is a consequence of e_1572. e_1444 is a consequence of e_704. Substitution of q37 by an expression in q21 found in e_1398 : q37= - 2*q21 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_1532 is a consequence of e_1425. Substitution of q36 by an expression in q21, p8, p7 found in e_1550 : - p8*q21 q36=----------- p7 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 63 terms e_772 is a consequence of e_1565. Substitution of q38 by an expression in q23, p8, p7 found in e_1074 : - p8*q23 q38=----------- p7 Step 1630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms Substitution of q58 by an expression in q24 found in e_1402 : q58=q24 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 : The list of inequalities got extended by: An expression with 54 terms *** Garbage collection starting *** GC 2271 31-Oct-2003 21:04:40, 30 ms (0%), 1365698 occupied, 23634252 free The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_509 is a consequence of e_77. e_1388 is a consequence of e_77. e_1572 is a consequence of e_691. e_962 is a consequence of e_1414. Substitution of q26 by an expression in q24, p8, p7 found in e_510 : - p8*q24 q26=----------- p7 Step 1632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_1043 is a consequence of e_684. e_1022 is a consequence of e_1446. e_978 is a consequence of e_954. Substitution of q23 by an expression in q21 found in e_691 : q23= - q21 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 : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms e_1323 is a consequence of e_1414. e_1446 is a consequence of e_684. e_1453 is a consequence of e_77. e_1008 is a consequence of e_77. Substitution of q21 by an expression in q22, p8, p7 found in e_1206 : 1 ---*p8*q22 2 q21=------------ p7 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 : The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 60 terms e_538 is a consequence of e_1414. e_77 is a consequence of e_1414.e_1414 is a consequence of e_1025 e_1215 is a consequence of e_1025. e_704 is a consequence of e_684. e_1129 is a consequence of e_1530. Substitution of q57 by an expression in q27, p8, p7 found in e_1568 : 1 ---*p8*q27 2 q57=------------ p7 Step 1635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 58 terms e_1425 is a consequence of e_1565. e_1241 is a consequence of e_1565. e_1526 is a consequence of e_951. e_1328 is a consequence of e_1216. e_1356 is a consequence of e_1051. e_1053 is a consequence of e_1565. e_1352 is a consequence of e_1565. e_1000 is a consequence of e_1565. e_1563 is a consequence of e_1565. e_1546 is a consequence of e_1565. e_985 is a consequence of e_1216. e_994 is a consequence of e_951.e_684 is a consequence of e_1530 e_954 is a consequence of e_1530. e_1071 is a consequence of e_1530. e_1104 is a consequence of e_1530. e_755 is a consequence of e_1216. e_737 is a consequence of e_896. e_922 is a consequence of e_896. e_1303 is a consequence of e_1345. Substitution of q27 by an expression in q24 found in e_1025 : q27=q24 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 : The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 60 terms *** Garbage collection starting *** GC 2272 31-Oct-2003 21:04:41, 30 ms (0%), 1378796 occupied, 23621153 free The list of inequalities got extended by: An expression with 58 terms Substitution of q71 by an expression in q72, q28, p8, p7 found in e_1346 : 7 factors in 3 terms Step 1637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 60 terms The list of inequalities got extended by: An expression with 58 terms Substitution of q28 by an expression in q29, p8, p7 found in e_1423 : - p8*q29 q28=----------- p7 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 : The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 59 terms Substitution of q69 by an expression in q68, q46 found in e_1341 : q69=2*q46 - q68 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 : The list of inequalities got extended by: An expression with 51 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 59 terms Substitution of q68 by an expression in q70, p8, p7 found in e_1438 : - p8*q70 q68=----------- p7 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 : The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 50 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 60 terms Substitution of q46 by an expression in q70, q67, p8, p7 found in e_1499 : 10 factors in 3 terms Step 1641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 54 terms The list of inequalities got extended by: An expression with 64 terms The list of inequalities got extended by: An expression with 62 terms Substitution of q65 by an expression in q72, q60, q29, p8, p7 found in e_1128 : 12 factors in 4 terms Step 1642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 53 terms The list of inequalities got extended by: An expression with 57 terms The list of inequalities got extended by: An expression with 67 terms The list of inequalities got extended by: An expression with 65 terms Substitution of q61 by an expression in q70, q67, q60, q45, p8, p7 found in e_1273 : 15 factors in 5 terms Step 1643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 3 terms Step 1646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : --- Length reducing decoupling steps : Eliminate q72 from e_836 and e_812. e_812: 2 2 0=(2*q29 + q72)*(p7 + p8 ) is replaced by e_1349: 2 2 0=q29*(p7 + p8 ) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1349 and e_831. e_831: 2 2 0=(q29 - q67)*(p7 + p8 ) is replaced by e_1164: 2 2 0=q67*(p7 + p8 ) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_1530 and e_1345. e_1345: 2 2 0=(q22 - 2*q24)*(p7 + p8 ) is replaced by e_1393: 2 2 0=q24*(p7 + p8 ) e_1393 is a consequence of e_1565. 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 : --- Length reducing decoupling steps : Eliminate q22 from e_1530 and e_1561. e_1561: 2 2 0=(q22 - q24)*(p7 + p8 ) is replaced by e_1077: 2 2 0=q24*(p7 + p8 ) e_1077 is a consequence of e_1565. 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 : --- Length reducing decoupling steps : Eliminate q22 from e_1530 and e_166. e_166: 2 2 0=(3*q22 + q24)*(p7 + p8 ) is replaced by e_885: 2 2 0=q24*(p7 + p8 ) e_885 is a consequence of e_1565. *** Garbage collection starting *** GC 2273 31-Oct-2003 21:04:42, 30 ms (0%), 1346189 occupied, 23653761 free 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 : --- Length reducing decoupling steps : Eliminate q22 from e_1530 and e_896. e_896: 2 2 0=(q22 + q24)*(p7 + p8 ) is replaced by e_1444: 2 2 0=q24*(p7 + p8 ) e_1444 is a consequence of e_1565. 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 : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. Eliminate q22 from e_1530 and e_1051. e_1051: 2 2 0=(5*q22 + 12*q24)*(p7 + p8 ) is replaced by e_1398: 2 2 0=q24*(p7 + p8 ) e_1398 is a consequence of e_1565. 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 : --- Length reducing decoupling steps : Eliminate q24 from e_1565 and e_1216. e_1216: 2 2 0=(q22 - 3*q24)*(p7 + p8 ) is replaced by e_1532: 2 2 0=q22*(p7 + p8 ) e_1532 is a consequence of e_1530. 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 : --- Length reducing decoupling steps : Eliminate q24 from e_1565 and e_951. e_951: 2 2 0=(q22 + 3*q24)*(p7 + p8 ) is replaced by e_1550: 2 2 0=q22*(p7 + p8 ) e_1550 is a consequence of e_1530. 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1349 and e_1505. e_1505: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q70,q67,q60,q29,p8 ,p7 ) is replaced by e_772: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q70,q67,q60,p8 ,p7 ) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_1349 and e_1163. e_1163: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q70,q67,q66,q60,q45,q29,p8 ,p7 ) is replaced by e_1074: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q70,q67,q66,q60,q45,p8 ,p7 ) 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 : --- Length reducing decoupling steps : Eliminate q72 from e_1350 and e_1313. e_1313: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q72,q70,q67,q66,q60,q29,p8 ,p7 ) is replaced by e_1402: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q70,q67,q66,q60,p8 ,p7 ) 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 : --- Length reducing decoupling steps : Eliminate q70 from e_1402 and e_1559. e_1559: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q72,q70,q67,q29,p8 ,p7 ) is replaced by e_1388: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q72,q66,q60,q29,p8 ,p7 ) 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_1467 we get the alternative equations : 0=p8 10 factors in 5 terms New level : 1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_1568 : 0=p8 e_977,e_1285,e_1350 are consequences of e_1568 Step 1665: Hot list of urgent steps : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 22 terms Substitution of p8 found in e_1568 : p8=0 Step 1666: Hot list 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 23 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q67 found in e_1425 : q67=0 Step 1667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 18 terms Substitution of q29 found in e_1241 : q29=0 Step 1668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q72 found in e_1526 : q72=0 Step 1669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q22 found in e_1328 : q22=0 Step 1670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 7 terms 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 q24 found in e_1356 : q24=0 Step 1671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q32 found in e_1053 : q32=0 Step 1672: Hot list 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 4 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q60 found in e_1546 : q60=0 Step 1673: Hot list 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 5 terms The list of inequalities got extended by: g0158*q70 - g0176*q45 + g0183*q45 e_954 is a consequence of e_1563. e_994 is a consequence of e_684. e_985 is a consequence of e_684. Substitution of q66 found in e_1000 : q66=0 Step 1674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0003*q82 + g0033*q45 + g0070*p7 The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: q45 The list of inequalities got extended by: q70 Substitution of q70 found in e_684 : q70=0 leads to a contradiction in : 0=2*q45 - q70 Back to level : 1.1.1.1.1.1.2. Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: p8 New level : 1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_1568 : 10 factors in 5 terms Step 1675: Hot list of urgent steps : The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 65 terms The list of inequalities got extended by: An expression with 78 terms The list of inequalities got extended by: An expression with 76 terms e_1526 is a consequence of e_1241. Substitution of q72 by an expression in q70, q67, q45, q29 found in e_1568 : 11 factors in 5 terms Step 1676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 69 terms The list of inequalities got extended by: An expression with 78 terms The list of inequalities got extended by: An expression with 92 terms The list of inequalities got extended by: An expression with 90 terms Substitution of q70 by an expression in q67, q66, q60, q45 found in e_1241 : 9 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 61 terms The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 76 terms The list of inequalities got extended by: An expression with 74 terms e_1000 is a consequence of e_684. Substitution of q67 by an expression in q66, q60, q45 found in e_1328 : 8 factors in 4 terms Step 1678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 62 terms The list of inequalities got extended by: An expression with 63 terms *** Garbage collection starting *** GC 2274 31-Oct-2003 21:04:44, 20 ms (0%), 1225587 occupied, 23774365 free The list of inequalities got extended by: An expression with 77 terms The list of inequalities got extended by: An expression with 75 terms Substitution of q60 by an expression in q66, p8, p7 found in e_1418 : 10 factors in 3 terms Step 1683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_1356,e_1410 are consequences of e_1346 Step 1684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms e_1175 is a consequence of e_1346. Step 1686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_1499 is a consequence of e_1346. Step 1687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 q45 from e_1341 and e_1537. e_1537: 2 2 0=(10*q45 - 23*q66)*(p7 + p8 ) is replaced by e_791: 2 2 0=q66*(p7 + p8 ) e_791 is a consequence of e_1346. 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 q66 from e_1346 and e_489. e_489: 2 2 0=(2*q29 + 3*q66)*(p7 + p8 ) is replaced by e_1507: 2 2 0=q29*(p7 + p8 ) e_1507 is a consequence of e_1349. Step 1691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : --- Substitution of <=1000 terms, no cases : --- Do one decoupling step : --- Any factorization : factorizing e_1281 we get the alternative equations : 2 2 0=p7 + p8 0=q32 New level : 1.1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_1518 : 2 2 0=p7 + p8 e_1565,e_1530,e_1349,e_1346,e_1341 are consequences of e_1518 Step 1692: Hot list of urgent steps : Step 1693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : --- Substitution of <=1000 terms, no cases : --- Do one decoupling step : --- Any factorization : --- Substitution of <=1000 terms : --- >>>>>>>>> Solution of level 1.1.1.1.1.1.2.2.1. : equations : e_1518 : 2 2 0=p7 + p8 Non-vanishing expressions: p8,p7 363 factors in 75 terms 373 factors in 77 terms 306 factors in 63 terms 299 factors in 62 terms g0317*p8 + g0318*p7 functions : q83, q82, q81=0 q80=0 q79=0 q78=0 q77=0 q76=0 q75=0 3 2 2 3 2 - ---*p7 *q66 - p8 *q29 - ---*p8 *q66 5 5 q74=---------------------------------------- p7*p8 3 2 2 3 2 - ---*p7 *q66 + p8 *q29 - ---*p8 *q66 5 5 q73=---------------------------------------- 2 p8 3 2 2 3 2 - ---*p7 *q66 - p8 *q29 - ---*p8 *q66 5 5 q72=---------------------------------------- 2 p8 3 2 2 3 2 ---*p7 *q66 - p8 *q29 + ---*p8 *q66 5 5 q71=------------------------------------- p7*p8 3 2 2 3 2 - ---*p7 *q66 + p8 *q45 - ---*p8 *q66 5 5 q70=---------------------------------------- 2 p8 3 2 2 3 2 - ---*p7 *q66 - p8 *q45 - ---*p8 *q66 5 5 q69=---------------------------------------- p7*p8 3 2 2 3 2 ---*p7 *q66 - p8 *q45 + ---*p8 *q66 5 5 q68=------------------------------------- p7*p8 3 2 2 3 2 - ---*p7 *q66 - p8 *q45 - ---*p8 *q66 5 5 q67=---------------------------------------- 2 p8 q66, 2 2 7 2 ---*p7 *q66 + ---*p8 *q66 5 5 q65=--------------------------- p7*p8 1 q64= - ---*q24 2 - p8*q24 q63=----------- p7 1 q62=---*q24 2 2 2 7 2 ---*p7 *q66 + ---*p8 *q66 5 5 q61=--------------------------- p7*p8 4 2 9 2 - ---*p7 *q66 - ---*p8 *q66 5 5 q60=------------------------------ 2 p8 1 - ---*p8*q24 2 q59=--------------- p7 q58=q24 1 ---*p8*q24 2 q57=------------ p7 - p8*q22 q56=----------- p7 2 - p8 *q22 q55=------------ 2 p7 2 p8 *q22 q54=--------- 2 p7 - p8*q22 q53=----------- p7 q52= - q45 - p8*q45 q51=----------- p7 q50=q22 p8*q22 q49=-------- p7 - p8*q22 q48=----------- p7 q47=q22 - p8*q45 q46=----------- p7 q45, - p8*q29 q44=----------- p7 q43= - q29 - p8*q24 q42=----------- p7 q41= - q24 q40=q24 - p8*q24 q39=----------- p7 1 2 ---*p8 *q22 2 q38=------------- 2 p7 - p8*q22 q37=----------- p7 1 2 - ---*p8 *q22 2 q36=---------------- 2 p7 p8*q32 q35=-------- p7 - 3*p8*q32 q34=------------- p7 2 3*p8 *q32 q33=----------- 2 p7 q32, q31=0 q30=0 q29, - p8*q29 q28=----------- p7 q27=q24 - p8*q24 q26=----------- p7 p8*q24 q25=-------- p7 q24, 1 - ---*p8*q22 2 q23=--------------- p7 q22, 1 ---*p8*q22 2 q21=------------ p7 2 p8 *q32 q20=--------- 2 p7 2 - 3*p8 *q32 q19=-------------- 2 p7 - 3*p8*q32 q18=------------- p7 p8*q32 q17=-------- p7 q16=0 q15=0 q14=0 q13=0 q12=0 q11=0 q10=0 q9=0 q8=0 q7=0 q6=0 q5=0 q4=0 q3=0 q2=0 q1=0 p8, p7, p6=0 p5=0 p4=0 p3=0 p2=0 p1=0 with 160 terms number of equations : 1 total no of terms : 2 total no of factors : 4 1 equation in 0 variables: e_1518(2a) 10 constants : p7,p8,q22,q24,q29,q32,q45,q66,q82,q83 The equation: 

f =D D f  *p7 + f  *p8
 t  1 2 2x       3x
The symmetry: 
                  2   2                     3                      2   2
f =(D f  *D D f*p7 *p8 *q29 - D f  *f *p7*p8 *q29 + D f  *D D f *p7 *p8 *q45
 s   2 4x  1 2                 2 4x  x               2 3x  1 2 x

                      3                            3
     - D f  *f  *p7*p8 *q45 + D f  *D f*D D f*p7*p8 *q24
        2 3x  2x               2 2x  2   1 2

                      2   2        4                  4
     + D f  *D f*f *p7 *p8 *q24 - ---*D f  *D D f  *p7 *q66
        2 2x  2   x                5   2 2x  1 2 2x

        9                  2   2                         2   2
     - ---*D f  *D D f  *p7 *p8 *q66 + D f  *D D f*D f*p7 *p8 *q24
        5   2 2x  1 2 2x                2 2x  1 2   1

                         3        2              3
     - D f  *D f*f *p7*p8 *q24 + ---*D f  *f  *p7 *p8*q66
        2 2x  1   x               5   2 2x  3x

        7                 3        1        2            3
     + ---*D f  *f  *p7*p8 *q66 + ---*(D f ) *D D f*p7*p8 *q22
        5   2 2x  3x               2    2 x    1 2

        1        2      4                            3
     - ---*(D f ) *f *p8 *q22 + D f *D f*D D f *p7*p8 *q22
        2    2 x    x            2 x  2   1 2 x

                      4        3                 4
     - D f *D f*f  *p8 *q22 - ---*D f *D D f  *p7 *q66
        2 x  2   2x            5   2 x  1 2 3x

                      2   2        3                 2   2
     + D f *D D f  *p7 *p8 *q45 - ---*D f *D D f  *p7 *p8 *q66
        2 x  1 2 3x                5   2 x  1 2 3x

                         2   2                         2   2
     + D f *D D f *D f*p7 *p8 *q22 + D f *D D f*D f *p7 *p8 *q22
        2 x  1 2 x  1                 2 x  1 2   1 x

                         3                         3
     - D f *D f *f *p7*p8 *q22 - D f *D f*f  *p7*p8 *q22
        2 x  1 x  x               2 x  1   2x

        3             3                        3        3                3
     + ---*D f *f  *p7 *p8*q66 - D f *f  *p7*p8 *q45 + ---*D f *f  *p7*p8 *q66
        5   2 x  4x               2 x  4x               5   2 x  4x

            3            3            3      2   2
     + (D f) *D D f*p7*p8 *q32 + (D f) *f *p7 *p8 *q32
         2     1 2                 2     x

        1       2              3              2             4
     + ---*(D f) *D D f  *p7*p8 *q24 - 3*(D f) *D D f*D f*p8 *q32
        2    2     1 2 2x                  2     1 2   1

              2             3        1       2       2   2
     - 3*(D f) *D f*f *p7*p8 *q32 + ---*(D f) *f  *p7 *p8 *q24
           2     1   x               2    2     3x

        3                4                     2   2
     - ---*D f*D D f  *p7 *q66 + D f*D D f  *p7 *p8 *q29
        5   2   1 2 4x            2   1 2 4x

        3                2   2                         2   2
     - ---*D f*D D f  *p7 *p8 *q66 + D f*D D f  *D f*p7 *p8 *q24
        5   2   1 2 4x                2   1 2 2x  1

                         2   2                         2   2
     + D f*D D f *D f *p7 *p8 *q22 + D f*D D f*D f  *p7 *p8 *q24
        2   1 2 x  1 x                2   1 2   1 2x

                        2      3                         3
     - 3*D f*D D f*(D f) *p7*p8 *q32 - D f*D f  *f *p7*p8 *q24
          2   1 2    1                  2   1 2x  x

                         3                  2      4
     - D f*D f *f  *p7*p8 *q22 + 3*D f*(D f) *f *p8 *q32
        2   1 x  2x                 2    1     x

                        3        3            3                       3
     - D f*D f*f  *p7*p8 *q24 + ---*D f*f  *p7 *p8*q66 - D f*f  *p7*p8 *q29
        2   1   3x               5   2   5x               2   5x

        3               3                 2   2        3                3
     + ---*D f*f  *p7*p8 *q66 + D D f  *p7 *p8 *q82 - ---*D D f  *D f*p7 *p8*q66
        5   2   5x               1 2 6x                5   1 2 4x  1

                        3        3                   3
     - D D f  *D f*p7*p8 *q29 - ---*D D f  *D f*p7*p8 *q66
        1 2 4x  1                5   1 2 4x  1

        3                 3                            3
     - ---*D D f  *D f *p7 *p8*q66 - D D f  *D f *p7*p8 *q45
        5   1 2 3x  1 x               1 2 3x  1 x

        3                    3        2                  3
     - ---*D D f  *D f *p7*p8 *q66 + ---*D D f  *D f  *p7 *p8*q66
        5   1 2 3x  1 x               5   1 2 2x  1 2x

        7                     3        1               2      3
     + ---*D D f  *D f  *p7*p8 *q66 - ---*D D f  *(D f) *p7*p8 *q24
        5   1 2 2x  1 2x               2   1 2 2x   1

                         3                            3
     - D D f *D f  *p7*p8 *q45 - D D f *D f *D f*p7*p8 *q22
        1 2 x  1 3x               1 2 x  1 x  1

                        3                            3
     - D D f*D f  *p7*p8 *q29 - D D f*D f  *D f*p7*p8 *q24
        1 2   1 4x               1 2   1 2x  1

        1              2      3                  3   4
     - ---*D D f*(D f ) *p7*p8 *q22 + D D f*(D f) *p8 *q32
        2   1 2    1 x                 1 2    1

                  2   2                   2   2                      2   2
     - D f  *f *p7 *p8 *q29 - D f  *f  *p7 *p8 *q45 - D f  *D f*f *p7 *p8 *q24
        1 4x  x                1 3x  2x                1 2x  1   x

                   2   2        1        2      4                      4
     + D f  *f  *p7 *p8 *q66 + ---*(D f ) *f *p8 *q22 + D f *D f*f  *p8 *q22
        1 2x  3x                2    1 x    x            1 x  1   2x

        3             4                  2   2        3             2   2
     - ---*D f *f  *p7 *q66 - D f *f  *p7 *p8 *q45 - ---*D f *f  *p7 *p8 *q66
        5   1 x  4x            1 x  4x                5   1 x  4x

            3         3        1       2       2   2        3            4
     + (D f) *f *p7*p8 *q32 - ---*(D f) *f  *p7 *p8 *q24 - ---*D f*f  *p7 *q66
         1     x               2    1     3x                5   1   5x

                 2   2        3            2   2             2   2         2   2
     - D f*f  *p7 *p8 *q29 - ---*D f*f  *p7 *p8 *q66 + f  *p7 *p8 *q83)/(p7 *p8
        1   5x                5   1   5x                7x

   )
And now in machine readable form:

The system: 

df(f(1),t)=d(1,d(2,df(f(1),x,2)))*p7 + df(f(1),x,3)*p8$
The symmetry: 
df(f(1),s)=(d(2,df(f(1),x,4))*d(1,d(2,f(1)))*p7**2*p8**2*q29 - d(2,df(f(1),x,4))
*df(f(1),x)*p7*p8**3*q29 + d(2,df(f(1),x,3))*d(1,d(2,df(f(1),x)))*p7**2*p8**2*
q45 - d(2,df(f(1),x,3))*df(f(1),x,2)*p7*p8**3*q45 + d(2,df(f(1),x,2))*d(2,f(1))*
d(1,d(2,f(1)))*p7*p8**3*q24 + d(2,df(f(1),x,2))*d(2,f(1))*df(f(1),x)*p7**2*p8**2
*q24 - 4/5*d(2,df(f(1),x,2))*d(1,d(2,df(f(1),x,2)))*p7**4*q66 - 9/5*d(2,df(f(1),
x,2))*d(1,d(2,df(f(1),x,2)))*p7**2*p8**2*q66 + d(2,df(f(1),x,2))*d(1,d(2,f(1)))*
d(1,f(1))*p7**2*p8**2*q24 - d(2,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p7*p8**3*q24 
+ 2/5*d(2,df(f(1),x,2))*df(f(1),x,3)*p7**3*p8*q66 + 7/5*d(2,df(f(1),x,2))*df(f(1
),x,3)*p7*p8**3*q66 + 1/2*d(2,df(f(1),x))**2*d(1,d(2,f(1)))*p7*p8**3*q22 - 1/2*d
(2,df(f(1),x))**2*df(f(1),x)*p8**4*q22 + d(2,df(f(1),x))*d(2,f(1))*d(1,d(2,df(f(
1),x)))*p7*p8**3*q22 - d(2,df(f(1),x))*d(2,f(1))*df(f(1),x,2)*p8**4*q22 - 3/5*d(
2,df(f(1),x))*d(1,d(2,df(f(1),x,3)))*p7**4*q66 + d(2,df(f(1),x))*d(1,d(2,df(f(1)
,x,3)))*p7**2*p8**2*q45 - 3/5*d(2,df(f(1),x))*d(1,d(2,df(f(1),x,3)))*p7**2*p8**2
*q66 + d(2,df(f(1),x))*d(1,d(2,df(f(1),x)))*d(1,f(1))*p7**2*p8**2*q22 + d(2,df(f
(1),x))*d(1,d(2,f(1)))*d(1,df(f(1),x))*p7**2*p8**2*q22 - d(2,df(f(1),x))*d(1,df(
f(1),x))*df(f(1),x)*p7*p8**3*q22 - d(2,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p7*p8
**3*q22 + 3/5*d(2,df(f(1),x))*df(f(1),x,4)*p7**3*p8*q66 - d(2,df(f(1),x))*df(f(1
),x,4)*p7*p8**3*q45 + 3/5*d(2,df(f(1),x))*df(f(1),x,4)*p7*p8**3*q66 + d(2,f(1))
**3*d(1,d(2,f(1)))*p7*p8**3*q32 + d(2,f(1))**3*df(f(1),x)*p7**2*p8**2*q32 + 1/2*
d(2,f(1))**2*d(1,d(2,df(f(1),x,2)))*p7*p8**3*q24 - 3*d(2,f(1))**2*d(1,d(2,f(1)))
*d(1,f(1))*p8**4*q32 - 3*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p7*p8**3*q32 + 1/2*d(
2,f(1))**2*df(f(1),x,3)*p7**2*p8**2*q24 - 3/5*d(2,f(1))*d(1,d(2,df(f(1),x,4)))*
p7**4*q66 + d(2,f(1))*d(1,d(2,df(f(1),x,4)))*p7**2*p8**2*q29 - 3/5*d(2,f(1))*d(1
,d(2,df(f(1),x,4)))*p7**2*p8**2*q66 + d(2,f(1))*d(1,d(2,df(f(1),x,2)))*d(1,f(1))
*p7**2*p8**2*q24 + d(2,f(1))*d(1,d(2,df(f(1),x)))*d(1,df(f(1),x))*p7**2*p8**2*
q22 + d(2,f(1))*d(1,d(2,f(1)))*d(1,df(f(1),x,2))*p7**2*p8**2*q24 - 3*d(2,f(1))*d
(1,d(2,f(1)))*d(1,f(1))**2*p7*p8**3*q32 - d(2,f(1))*d(1,df(f(1),x,2))*df(f(1),x)
*p7*p8**3*q24 - d(2,f(1))*d(1,df(f(1),x))*df(f(1),x,2)*p7*p8**3*q22 + 3*d(2,f(1)
)*d(1,f(1))**2*df(f(1),x)*p8**4*q32 - d(2,f(1))*d(1,f(1))*df(f(1),x,3)*p7*p8**3*
q24 + 3/5*d(2,f(1))*df(f(1),x,5)*p7**3*p8*q66 - d(2,f(1))*df(f(1),x,5)*p7*p8**3*
q29 + 3/5*d(2,f(1))*df(f(1),x,5)*p7*p8**3*q66 + d(1,d(2,df(f(1),x,6)))*p7**2*p8
**2*q82 - 3/5*d(1,d(2,df(f(1),x,4)))*d(1,f(1))*p7**3*p8*q66 - d(1,d(2,df(f(1),x,
4)))*d(1,f(1))*p7*p8**3*q29 - 3/5*d(1,d(2,df(f(1),x,4)))*d(1,f(1))*p7*p8**3*q66 
- 3/5*d(1,d(2,df(f(1),x,3)))*d(1,df(f(1),x))*p7**3*p8*q66 - d(1,d(2,df(f(1),x,3)
))*d(1,df(f(1),x))*p7*p8**3*q45 - 3/5*d(1,d(2,df(f(1),x,3)))*d(1,df(f(1),x))*p7*
p8**3*q66 + 2/5*d(1,d(2,df(f(1),x,2)))*d(1,df(f(1),x,2))*p7**3*p8*q66 + 7/5*d(1,
d(2,df(f(1),x,2)))*d(1,df(f(1),x,2))*p7*p8**3*q66 - 1/2*d(1,d(2,df(f(1),x,2)))*d
(1,f(1))**2*p7*p8**3*q24 - d(1,d(2,df(f(1),x)))*d(1,df(f(1),x,3))*p7*p8**3*q45 -
 d(1,d(2,df(f(1),x)))*d(1,df(f(1),x))*d(1,f(1))*p7*p8**3*q22 - d(1,d(2,f(1)))*d(
1,df(f(1),x,4))*p7*p8**3*q29 - d(1,d(2,f(1)))*d(1,df(f(1),x,2))*d(1,f(1))*p7*p8
**3*q24 - 1/2*d(1,d(2,f(1)))*d(1,df(f(1),x))**2*p7*p8**3*q22 + d(1,d(2,f(1)))*d(
1,f(1))**3*p8**4*q32 - d(1,df(f(1),x,4))*df(f(1),x)*p7**2*p8**2*q29 - d(1,df(f(1
),x,3))*df(f(1),x,2)*p7**2*p8**2*q45 - d(1,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p7
**2*p8**2*q24 + d(1,df(f(1),x,2))*df(f(1),x,3)*p7**2*p8**2*q66 + 1/2*d(1,df(f(1)
,x))**2*df(f(1),x)*p8**4*q22 + d(1,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p8**4*q22 
- 3/5*d(1,df(f(1),x))*df(f(1),x,4)*p7**4*q66 - d(1,df(f(1),x))*df(f(1),x,4)*p7**
2*p8**2*q45 - 3/5*d(1,df(f(1),x))*df(f(1),x,4)*p7**2*p8**2*q66 + d(1,f(1))**3*df
(f(1),x)*p7*p8**3*q32 - 1/2*d(1,f(1))**2*df(f(1),x,3)*p7**2*p8**2*q24 - 3/5*d(1,
f(1))*df(f(1),x,5)*p7**4*q66 - d(1,f(1))*df(f(1),x,5)*p7**2*p8**2*q29 - 3/5*d(1,
f(1))*df(f(1),x,5)*p7**2*p8**2*q66 + df(f(1),x,7)*p7**2*p8**2*q83)/(p7**2*p8**2)
$

Back to level : 1.1.1.1.1.1.2.2.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

  2     2
p7  + p8


New level : 1.1.1.1.1.1.2.2.2.
CRACK is now called with the new equation e_1518 : 
0=q32


Step 1694: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 67 terms

Substitution of q32 found in e_1518 : 
q32=0


Step 1695: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 53 terms

Substitution of q24 found in e_1565 : 
q24=0


Step 1696: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 32 terms

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 q22 found in e_1530 : 
q22=0


Step 1697: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 26 terms

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 q29 found in e_1349 : 
q29=0


Step 1698: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 8 terms

q45


Substitution of q66 found in e_1346 : 
q66=0


Step 1699: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q45=0

because of the non-vanishing expression:
q45


Back to level : 1.1.1.1.1.1.2.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.1.1.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.1.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.1.
Time: 0 ms

Time: 0 ms

Time: 60 ms

The list of inequalities got extended by: 

p5


New level : 1.1.1.1.1.2.
CRACK is now called with the new equation e_982 : 
0=q7


Step 1700: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 82 terms
*** Garbage collection starting 
*** GC 2275 31-Oct-2003 21:04:45, 30 ms (0%), 1348014 occupied, 23651935 free

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 81 terms

Substitution of q7 found in e_982 : 
q7=0


Step 1701: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 80 terms

Substitution of q11 found in e_489 : 
q11=0


Step 1702: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms
*** Garbage collection starting 
*** GC 2276 31-Oct-2003 21:04:46, 30 ms (0%), 1369032 occupied, 23630920 free

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q14 found in e_949 : 
q14=0


Step 1703: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q12 found in e_851 : 
q12=0


Step 1704: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 78 terms
*** Garbage collection starting 
*** GC 2277 31-Oct-2003 21:04:46, 30 ms (0%), 1379438 occupied, 23620513 free

The list of inequalities got extended by: 
An expression with 77 terms

e_1492 is a consequence of e_1519.
e_1301 is a consequence of e_1212.
Substitution of q5 found in e_791 : 
q5=0


Step 1705: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q3 found in e_1080 : 
q3=0


Step 1706: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 75 terms

e_1275 is a consequence of e_1215.
e_1496 is a consequence of e_1411.
Substitution of q9 found in e_1219 : 
q9=0


Step 1707: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 63 terms
*** Garbage collection starting 
*** GC 2278 31-Oct-2003 21:04:47, 40 ms (0%), 1362238 occupied, 23637714 free

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 74 terms

Substitution of q78 found in e_1072 : 
q78=0


Step 1708: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 73 terms

Substitution of q16 found in e_919 : 
q16=0


Step 1709: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 73 terms
*** Garbage collection starting 
*** GC 2279 31-Oct-2003 21:04:47, 30 ms (0%), 1385260 occupied, 23614690 free

The list of inequalities got extended by: 
An expression with 72 terms

Substitution of q15 found in e_1090 : 
q15=0


Step 1710: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

Substitution of q13 found in e_1175 : 
q13=0


Step 1711: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1349 is a consequence of e_487.
Substitution of q17 found in e_616 : 
q17=0


Step 1712: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 69 terms

e_1540 is a consequence of e_1033.
Substitution of q19 found in e_487 : 
q19=0


Step 1713: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2280 31-Oct-2003 21:04:48, 30 ms (0%), 1343870 occupied, 23656082 free

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 68 terms

e_1537 is a consequence of e_1248.
e_1543 is a consequence of e_971.
e_1236 is a consequence of e_1034.
Substitution of q18 found in e_1033 : 
q18=0


Step 1714: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 67 terms

e_829 is a consequence of e_1034.
Substitution of q20 found in e_971 : 
q20=0


Step 1715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 66 terms

e_1242 is a consequence of e_1264.
e_1489 is a consequence of e_1212.
e_1459 is a consequence of e_1519.
e_1297 is a consequence of e_1271.
Substitution of q6 found in e_1215 : 
q6=0


Step 1716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 54 terms
*** Garbage collection starting 
*** GC 2281 31-Oct-2003 21:04:48, 30 ms (0%), 1384392 occupied, 23615559 free

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 65 terms

Substitution of q81 found in e_1066 : 
q81=0


Step 1717: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 64 terms

e_1006 is a consequence of e_1264.
Substitution of q77 found in e_1408 : 
q77=0


Step 1718: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 63 terms

e_1240 is a consequence of e_1271.
Substitution of q4 found in e_1411 : 
q4=0


Step 1719: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 62 terms

Substitution of q30 found in e_1047 : 
q30=0


Step 1720: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2282 31-Oct-2003 21:04:49, 40 ms (0%), 1358198 occupied, 23641754 free

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 61 terms

Substitution of q31 found in e_1257 : 
q31=0


Step 1721: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 60 terms

Substitution of q10 found in e_1271 : 
q10=0


Step 1722: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 59 terms

Substitution of q1 found in e_1097 : 
q1=0


Step 1723: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 58 terms

e_539 is a consequence of e_1264.
e_1214 is a consequence of e_1264.
Substitution of q8 found in e_1212 : 
q8=0


Step 1724: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 47 terms
*** Garbage collection starting 
*** GC 2283 31-Oct-2003 21:04:50, 30 ms (0%), 1351402 occupied, 23648548 free

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 57 terms

Substitution of q2 found in e_1163 : 
q2=0


Step 1725: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 56 terms

e_1435 is a consequence of e_1521.
e_1524 is a consequence of e_1519.
e_1490 is a consequence of e_1521.
Substitution of q75 found in e_1264 : 
q75=0


Step 1726: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q27 found in e_1283 : 
q27=0


Step 1727: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 54 terms

e_1506 is a consequence of e_1431.
Substitution of q47 found in e_1321 : 
q47=0


Step 1728: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 53 terms

e_1258 is a consequence of e_1430.
*** Garbage collection starting 
*** GC 2284 31-Oct-2003 21:04:50, 30 ms (0%), 1355104 occupied, 23644848 free

Substitution of q22 found in e_1431 : 
q22=0


Step 1729: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 52 terms

Substitution of q50 found in e_1430 : 
q50=0


Step 1730: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 51 terms

Substitution of q39 found in e_1073 : 
q39=0


Step 1731: 
Hot list 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 42 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 50 terms

e_934 is a consequence of e_191.
Substitution of q53 found in e_979 : 
q53=0


Step 1732: 
Hot list 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 41 terms

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 49 terms

e_1424 is a consequence of e_1535.
*** Garbage collection starting 
*** GC 2285 31-Oct-2003 21:04:51, 30 ms (0%), 1349308 occupied, 23650643 free

Substitution of q63 found in e_1341 : 
q63=0


Step 1733: 
Hot list 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 40 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 48 terms

Substitution of q56 found in e_191 : 
q56=0


Step 1734: 
Hot list 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 48 terms

The list of inequalities got extended by: 
An expression with 47 terms

Substitution of q41 found in e_1116 : 
q41=0


Step 1735: 
Hot list 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 37 terms

The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 46 terms

e_1422 is a consequence of e_1307.
Substitution of q24 found in e_807 : 
q24=0


Step 1736: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 45 terms

e_1418 is a consequence of e_1011.
e_804 is a consequence of e_1021.
e_1235 is a consequence of e_985.
Substitution of q38 found in e_1228 : 
q38=0


Step 1737: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 44 terms

Substitution of q54 found in e_1011 : 
q54=0


Step 1738: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 34 terms
*** Garbage collection starting 
*** GC 2286 31-Oct-2003 21:04:52, 30 ms (0%), 1356378 occupied, 23643574 free

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 43 terms

e_1307 is a consequence of e_1535.
e_1012 is a consequence of e_1199.
Substitution of q64 found in e_1128 : 
q64=0


Step 1739: 
Hot list 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 33 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 42 terms

e_1111 is a consequence of e_1021.
e_1347 is a consequence of e_1535.
e_850 is a consequence of e_734.
Substitution of q23 found in e_1350 : 
q23=0


Step 1740: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 41 terms

e_1296 is a consequence of e_985.
e_1448 is a consequence of e_985.e_1551 is a consequence of e_1237

Substitution of q26 found in e_1021 : 
q26=0


Step 1741: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 41 terms

The list of inequalities got extended by: 
An expression with 40 terms

e_1454 is a consequence of e_1199.
Substitution of q48 found in e_985 : 
q48=0


Step 1742: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 40 terms

The list of inequalities got extended by: 
An expression with 39 terms

e_1428 is a consequence of e_1519.
e_1129 is a consequence of e_1521.
e_1470 is a consequence of e_1519.
e_1440 is a consequence of e_1521.
e_1515 is a consequence of e_1535.
e_1528 is a consequence of e_1535.
Substitution of q59 found in e_1199 : 
q59=0


Step 1743: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 38 terms

e_1234 is a consequence of e_1521.
e_1547 is a consequence of e_1426.
e_1545 is a consequence of e_1535.
e_1407 is a consequence of e_1535.
Substitution of q79 found in e_1519 : 
q79=0


Step 1744: 
Hot list 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 28 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 37 terms

e_1067 is a consequence of e_1504.
e_1290 is a consequence of e_1426.
Substitution of q76 found in e_1521 : 
q76=0


Step 1745: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 27 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1465 is a consequence of e_1426.
e_953 is a consequence of e_734.
*** Garbage collection starting 
*** GC 2287 31-Oct-2003 21:04:54, 30 ms (0%), 1336998 occupied, 23662953 free

e_388 is a consequence of e_1227.
Substitution of q58 found in e_1535 : 
q58=0


Step 1746: 
Hot list 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 36 terms

The list of inequalities got extended by: 
An expression with 35 terms

e_1117 is a consequence of e_1426.
Substitution of q72 found in e_734 : 
q72=0


Step 1747: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1550 is a consequence of e_769.
Substitution of q74 found in e_1426 : 
q74=0


Step 1748: 
Hot list 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 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1534 is a consequence of e_1441.
Substitution of q43 by an expression in 
q29 found in e_1237 : 
q43= - q29


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 : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

Substitution of q55 by an expression in 
q40 found in e_1400 : 
q55=q40


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1429 is a consequence of e_1420.e_1508 is a consequence of e_1291

e_1495 is a consequence of e_1420.
Substitution of q42 by an expression in 
q25 found in e_1227 : 
q42= - q25


Step 1751: 
Hot list 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 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1016 is a consequence of e_551.
Substitution of q49 by an expression in 
q25 found in e_1291 : 
q49=2*q25


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1504 is a consequence of e_1532.
Substitution of q37 by an expression in 
q21 found in e_743 : 
        1
q37= - ---*q21
        2


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1471 is a consequence of e_1463.
*** Garbage collection starting 
*** GC 2288 31-Oct-2003 21:04:55, 30 ms (0%), 1335344 occupied, 23664608 free

Substitution of q80 by an expression in 
q21 found in e_1532 : 
        1
q80= - ---*q21
        2


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1420 is a consequence of e_551.
Substitution of q57 by an expression in 
q21 found in e_1555 : 
     3
q57=---*q21
     2


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1385 is a consequence of e_831.
e_1516 is a consequence of e_831.
e_1529 is a consequence of e_831.
e_1010 is a consequence of e_1441.
Substitution of q25 by an expression in 
q21 found in e_551 : 
     3
q25=---*q21
     2


Step 1756: 
Hot list 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 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1479 is a consequence of e_1425.
e_1463 is a consequence of e_1468.
Substitution of q69 found in e_1241 : 
q69=0


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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

Substitution of q36 by an expression in 
q32, p8, p5 found in e_1233 : 
     3*p8*q32
q36=----------
        p5


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 : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

Substitution of q21 by an expression in 
q32, p7, p5 found in e_950 : 
     2*p7*q32
q21=----------
        p5


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 : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1539 is a consequence of e_831.
Substitution of q61 by an expression in 
q32, p7, p5 found in e_1538 : 
         5    2
      - ---*p7 *q32
         3
q61=----------------
            2
          p5


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 : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_694 is a consequence of e_831.
e_1487 is a consequence of e_831.
e_1384 is a consequence of e_831.
e_1458 is a consequence of e_1425.
Substitution of q28 by an expression in 
q32, p7, p5 found in e_1468 : 
          2
      - p7 *q32
q28=------------
          2
        p5


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 : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_977 is a consequence of e_831.
e_1389 is a consequence of e_831.
e_1513 is a consequence of e_831.
e_1450 is a consequence of e_831.
Substitution of q46 by an expression in 
q32, p7, p5 found in e_1425 : 
            2
      - 3*p7 *q32
q46=--------------
           2
         p5


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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms
*** Garbage collection starting 
*** GC 2289 31-Oct-2003 21:04:56, 40 ms (0%), 1329720 occupied, 23670231 free

The list of inequalities got extended by: 
An expression with 33 terms

e_1134 is a consequence of e_1530.
e_1441 is a consequence of e_1530.
e_996 is a consequence of e_831.
Substitution of q62 by an expression in 
q32, p8, p5 found in e_1077 : 
     3*p8*q32
q62=----------
        p5


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 : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1554 is a consequence of e_1530.
Substitution of q73 by an expression in 
q32, p8, p7, p5 found in e_838 : 
     6*p7*p8*q32
q73=-------------
           2
         p5


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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1514 is a consequence of e_831.
e_1025 is a consequence of e_831.
e_1461 is a consequence of e_831.
e_1138 is a consequence of e_831.
e_1462 is a consequence of e_1491.
e_1542 is a consequence of e_398.
Substitution of q40 by an expression in 
q32, p8, p5 found in e_1530 : 
     6*p8*q32
q40=----------
        p5


Step 1765: 
Hot list 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 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_1064 is a consequence of e_1169.
e_1355 is a consequence of e_1169.
Substitution of q67 found in e_720 : 
q67=0


Step 1766: 
Hot list 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 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

Substitution of q70 by an expression in 
q29 found in e_1239 : 
q70=4*q29


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 : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_1511 is a consequence of e_831.
e_1548 is a consequence of e_1480.
Substitution of q66 by an expression in 
q32, p8, p7, p5 found in e_716 : 7 factors in 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 : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_1421 is a consequence of e_1491.
e_1480 is a consequence of e_831.
Substitution of q52 by an expression in 
q32, p8, p7, p5 found in e_1169 : 
      - 3*p7*p8*q32
q52=----------------
            2
          p5


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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_1113 is a consequence of e_831.
e_1018 is a consequence of e_831.
e_995 is a consequence of e_831.
e_1410 is a consequence of e_831.
e_1491 is a consequence of e_986.
Substitution of q29 by an expression in 
q32, p8, p7, p5 found in e_1039 : 7 factors in 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_1549 is a consequence of e_831.
e_1527 is a consequence of e_1262.
Substitution of q45 by an expression in 
q32, p8, p7, p5 found in e_986 : 7 factors in 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 32 terms

e_962 is a consequence of e_831.
e_1262 is a consequence of e_831.
e_1483 is a consequence of e_831.
e_1445 is a consequence of e_831.
Substitution of q60 by an expression in 
q32, p8, p7, p5 found in e_1553 : 7 factors in 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 : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1447 is a consequence of e_831.
Substitution of q68 by an expression in 
q51, q32, p7, p5 found in e_1457 : 
       2         2
     p5 *q51 - p7 *q32
q68=-------------------
              2
            p5


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 : 
The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1259 is a consequence of e_831.
Substitution of q71 by an expression in 
q32, p8, p7, p5 found in e_541 : 10 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 35 terms

e_1546 is a consequence of e_831.
e_769 is a consequence of e_831.
Substitution of q44 by an expression in 
q32, p8, p7, p5 found in e_398 : 10 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1522 is a consequence of e_831.
*** Garbage collection starting 
*** GC 2290 31-Oct-2003 21:04:58, 40 ms (0%), 1319062 occupied, 23680889 free

e_1526 is a consequence of e_831.
e_1478 is a consequence of e_831.
e_1556 is a consequence of e_831.
Substitution of q51 by an expression in 
q32, p8, p7, p5 found in e_684 : 10 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 37 terms

e_1520 is a consequence of e_831.
e_618 is a consequence of e_831.
e_1417 is a consequence of e_831.
e_1397 is a consequence of e_831.
e_1393 is a consequence of e_831.
e_848 is a consequence of e_831.
Substitution of q65 by an expression in 
q32, p8, p7, p5 found in e_1499 : 10 factors in 3 terms

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 2 terms

Step 1778: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 37 terms

e_1383 is a consequence of e_831.
e_852 is a consequence of e_831.
Substitution of q82 found in e_1324 : 
q82=0


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 2 terms

e_1051 is a consequence of e_831.
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 2 terms

e_1121 is a consequence of e_831.
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

e_1329 is a consequence of e_831.
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 : An algebraic length reduction (11
) was prevented
to avoid a cycle.
shortening by 1 term

Step 1783: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 37 terms

e_1456 is a consequence of e_831.
Substitution of q83 by an expression in 
q32, p8, p5 found in e_1282 : 
      54    3
     ----*p8 *q32
      35
q83=--------------
           3
         p5


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1248 we get the alternative equations : 
0=p7


0=q34


New level : 1.1.1.1.1.2.1.
CRACK is now called with the new equation e_1345 : 
0=p7

e_1034,e_987,e_831 are consequences of e_1345

Step 1785: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 

g0112*q35 + g0113*q34 + g0114*q33


The list of inequalities got extended by: 

g0317*p8 + g0320*p5


The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 14 terms

Substitution of p7 found in e_1345 : 
p7=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1017 we get the alternative equations : 
0=p8


0=q34


New level : 1.1.1.1.1.2.1.1.
CRACK is now called with the new equation e_712 : 
0=p8

e_1263,e_1266 are consequences of e_712

Step 1787: 
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 5 terms

The list of inequalities got extended by: 
An expression with 4 terms

Substitution of p8 found in e_712 : 
p8=0



>>>>>>>>> Solution of level 1.1.1.1.1.2.1.1. : 
no equations


Non-vanishing expressions: p5

g0282*q35 + g0283*q34 + g0284*q33 + g0285*q32


g0193*q35 + g0194*q34 + g0195*q33 + g0196*q32 + g0229*p5


g0040*q34 + g0041*q33 + g0042*q32 + g0071*p5


g0112*q35 + g0113*q34 + g0114*q33


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0

q35, q34, q33, q32, 
q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0


p6=0

p5, 
p4=0


p3=0


p2=0


p1=0


with 91 terms
no equations
5 constants : p5,q32,q33,q34,q35
The equation: 

f =D f*f *p5
 t  2   x
The symmetry: 
        3               2                       2               3
f =(D f) *f *q32 + (D f) *D f*f *q34 + D f*(D f) *f *q33 + (D f) *f *q35
 s   2     x         2     1   x        2    1     x         1     x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5$
The symmetry: 
df(f(1),s)=d(2,f(1))**3*df(f(1),x)*q32 + d(2,f(1))**2*d(1,f(1))*df(f(1),x)*q34 +
 d(2,f(1))*d(1,f(1))**2*df(f(1),x)*q33 + d(1,f(1))**3*df(f(1),x)*q35$

Back to level : 1.1.1.1.1.2.1.
Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

p8


New level : 1.1.1.1.1.2.1.2.
CRACK is now called with the new equation e_712 : 
0=q34


Step 1788: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 

g0112*q35 + g0114*q33


The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 13 terms

Substitution of q34 found in e_712 : 
q34=0


Step 1789: 
Hot list 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: 

q35

The lexicographical ordering of unknowns is changed
because q35 has to be non-zero, giving q35 a low priority.
Old ordering: q35,q33,q32,p8,p5
New ordering: q33,q32,q35,p8,p5

The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 
An expression with 12 terms

Substitution of q33 found in e_1263 : 
q33=0


Step 1790: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q35=0

because of the non-vanishing expression:
q35


The list of inequalities got extended by: 
An expression with 11 terms

The list of inequalities got extended by: 
An expression with 11 terms

q32

The lexicographical ordering of unknowns is changed
because q32 has to be non-zero, giving q32 a low priority.
Old ordering: q32,q35,p8,p5
New ordering: q35,q32,p8,p5

Back to level : 1.1.1.1.1.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.1.2.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p7


New level : 1.1.1.1.1.2.2.
CRACK is now called with the new equation e_1345 : 
0=q34

e_1017 is a consequence of e_1345

Step 1791: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 36 terms

Substitution of q34 found in e_1345 : 
q34=0


Step 1792: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 20 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 35 terms

Substitution of q33 found in e_1034 : 
q33=0


Step 1793: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 34 terms

q32


Substitution of q35 found in e_987 : 
q35=0


Step 1794: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q32=0

because of the non-vanishing expression:
q32


Back to level : 1.1.1.1.1.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.
Time: 0 ms

Time: 0 ms

Time: 60 ms

The list of inequalities got extended by: 

p6

The lexicographical ordering of unknowns is changed
because p6 has to be non-zero, giving p6 a low priority.
Old ordering: q83,q82,q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68,
q67,q66,q65,q64,q63,q62,q61,q60,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,p8,p7,p6,p5
New ordering: q83,q82,q81,q80,q79,q78,q77,q76,q75,q74,q73,q72,q71,q70,q69,q68,
q67,q66,q65,q64,q63,q62,q61,q60,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,p8,p7,p5,p6

New level : 1.1.1.1.2.
CRACK is now called with the new equation e_1332 : 
0=q8


Step 1795: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 82 terms
*** Garbage collection starting 
*** GC 2291 31-Oct-2003 21:04:59, 40 ms (0%), 1335000 occupied, 23664950 free

Substitution of q8 found in e_1332 : 
q8=0


Step 1796: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 81 terms

Substitution of q17 found in e_450 : 
q17=0


Step 1797: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 66 terms
*** Garbage collection starting 
*** GC 2292 31-Oct-2003 21:05:00, 40 ms (0%), 1401958 occupied, 23597992 free

The list of inequalities got extended by: 
An expression with 80 terms

Substitution of q11 found in e_694 : 
q11=0


Step 1798: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q12 found in e_618 : 
q12=0


Step 1799: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q13 found in e_538 : 
q13=0


Step 1800: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 65 terms
*** Garbage collection starting 
*** GC 2293 31-Oct-2003 21:05:00, 30 ms (0%), 1391166 occupied, 23608784 free

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of q31 found in e_952 : 
q31=0


Step 1801: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q14 found in e_953 : 
q14=0


Step 1802: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 75 terms

Substitution of q30 found in e_962 : 
q30=0


Step 1803: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2294 31-Oct-2003 21:05:01, 40 ms (0%), 1350334 occupied, 23649616 free

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 74 terms

Substitution of q15 found in e_829 : 
q15=0


Step 1804: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 73 terms

Substitution of q16 found in e_729 : 
q16=0


Step 1805: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 72 terms
*** Garbage collection starting 
*** GC 2295 31-Oct-2003 21:05:01, 30 ms (0%), 1351500 occupied, 23648450 free

Substitution of q3 found in e_1199 : 
q3=0


Step 1806: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 71 terms

Substitution of q5 found in e_1206 : 
q5=0


Step 1807: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q77 found in e_734 : 
q77=0


Step 1808: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 57 terms
*** Garbage collection starting 
*** GC 2296 31-Oct-2003 21:05:02, 40 ms (0%), 1382850 occupied, 23617100 free

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 69 terms

e_1025 is a consequence of e_934.
e_695 is a consequence of e_753.
Substitution of q19 found in e_985 : 
q19=0


Step 1809: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 68 terms

e_1343 is a consequence of e_1226.
e_993 is a consequence of e_1129.
Substitution of q18 found in e_720 : 
q18=0


Step 1810: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 67 terms

e_1326 is a consequence of e_1234.
e_1246 is a consequence of e_1289.
Substitution of q20 found in e_727 : 
q20=0


Step 1811: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 54 terms
*** Garbage collection starting 
*** GC 2297 31-Oct-2003 21:05:02, 30 ms (0%), 1396554 occupied, 23603396 free

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q4 found in e_1376 : 
q4=0


Step 1812: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 65 terms

Substitution of q78 found in e_716 : 
q78=0


Step 1813: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 64 terms

Substitution of q6 found in e_812 : 
q6=0


Step 1814: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 63 terms
*** Garbage collection starting 
*** GC 2298 31-Oct-2003 21:05:03, 30 ms (0%), 1397464 occupied, 23602485 free

The list of inequalities got extended by: 
An expression with 63 terms

Substitution of q81 found in e_1021 : 
q81=0


Step 1815: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 62 terms
e_1219 is a consequence of e_1013

Substitution of q10 found in e_1271 : 
q10=0


Step 1816: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 61 terms

e_1071 is a consequence of e_1117.
e_1336 is a consequence of e_1117.
e_1073 is a consequence of e_1398.e_951 is a consequence of e_1272

e_979 is a consequence of e_1013.
Substitution of q7 found in e_1303 : 
q7=0


Step 1817: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 49 terms
*** Garbage collection starting 
*** GC 2299 31-Oct-2003 21:05:04, 30 ms (0%), 1405372 occupied, 23594577 free

The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 60 terms

e_1212 is a consequence of e_1117.
e_975 is a consequence of e_1117.e_691 is a consequence of e_1273

e_1258 is a consequence of e_1341.
e_1252 is a consequence of e_1341.
Substitution of q79 found in e_1398 : 
q79=0


Step 1818: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 59 terms

e_1110 is a consequence of e_1013.
e_1267 is a consequence of e_1273.
e_1111 is a consequence of e_1341.
e_996 is a consequence of e_1272.
e_1029 is a consequence of e_1341.
e_1265 is a consequence of e_1341.
e_1058 is a consequence of e_1273.
Substitution of q76 found in e_1117 : 
q76=0


Step 1819: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 58 terms

e_1235 is a consequence of e_1341.
e_1266 is a consequence of e_1341.
e_1397 is a consequence of e_1341.
e_1434 is a consequence of e_1272.
e_1010 is a consequence of e_1272.
e_1236 is a consequence of e_1272.
e_995 is a consequence of e_1272.
*** Garbage collection starting 
*** GC 2300 31-Oct-2003 21:05:05, 30 ms (0%), 1398492 occupied, 23601457 free

Substitution of q9 found in e_1013 : 
q9=0


Step 1820: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 57 terms

e_398 is a consequence of e_1341.
e_1418 is a consequence of e_1341.
e_953 is a consequence of e_1273.
e_1047 is a consequence of e_1273.
Substitution of q1 found in e_1272 : 
q1=0


Step 1821: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 56 terms

Substitution of q75 found in e_1341 : 
q75=0


Step 1822: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q2 found in e_1273 : 
q2=0


Step 1823: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q48 by an expression in 
q23 found in e_1064 : 
q48=3*q23


Step 1824: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms
*** Garbage collection starting 
*** GC 2301 31-Oct-2003 21:05:06, 40 ms (0%), 1424782 occupied, 23575167 free

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q47 by an expression in 
q27 found in e_1169 : 
q47=2*q27


Step 1825: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms
e_1112 is a consequence of e_1300

Substitution of q26 by an expression in 
q23 found in e_1222 : 
     3
q26=---*q23
     2


Step 1826: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

e_991 is a consequence of e_969.
e_1443 is a consequence of e_1292.
e_1419 is a consequence of e_969.
Substitution of q49 by an expression in 
q25 found in e_1185 : 
q49=2*q25


Step 1827: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

e_1250 is a consequence of e_1261.
e_1405 is a consequence of e_1261.
e_919 is a consequence of e_1466.
*** Garbage collection starting 
*** GC 2302 31-Oct-2003 21:05:07, 40 ms (0%), 1432852 occupied, 23567096 free

Substitution of q50 by an expression in 
q24 found in e_1300 : 
q50=2*q24


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q57 by an expression in 
q34, p7, p6 found in e_753 : 
     p7*q34
q57=--------
       p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q58 by an expression in 
q33, p7, p6 found in e_1226 : 
     2*p7*q33
q58=----------
        p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms
*** Garbage collection starting 
*** GC 2303 31-Oct-2003 21:05:09, 40 ms (0%), 1436528 occupied, 23563420 free

Substitution of q62 by an expression in 
q34, p8, p6 found in e_967 : 
     p8*q34
q62=--------
       p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q53 by an expression in 
q33, p8, p6 found in e_947 : 
     2*p8*q33
q53=----------
        p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

e_1444 is a consequence of e_1028.
e_1445 is a consequence of e_1028.
Substitution of q63 by an expression in 
q33, p8, p6 found in e_1152 : 
     2*p8*q33
q63=----------
        p6


Step 1833: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms
*** Garbage collection starting 
*** GC 2304 31-Oct-2003 21:05:10, 30 ms (0%), 1437082 occupied, 23562865 free

Substitution of q59 by an expression in 
q35, p7, p6 found in e_1289 : 
     3*p7*q35
q59=----------
        p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q23 by an expression in 
q35, p7, p6 found in e_745 : 
     2*p7*q35
q23=----------
        p6


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 : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

e_729 is a consequence of e_1391.
Substitution of q64 by an expression in 
q35, p8, p6 found in e_1318 : 
     3*p8*q35
q64=----------
        p6


Step 1836: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q54 by an expression in 
q35, p8, p6 found in e_1391 : 
     6*p8*q35
q54=----------
        p6


Step 1837: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 46 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 55 terms
*** Garbage collection starting 
*** GC 2305 31-Oct-2003 21:05:11, 50 ms (0%), 1433910 occupied, 23566037 free

Substitution of q27 by an expression in 
q33, p7, p6 found in e_1028 : 
     p7*q33
q27=--------
       p6


Step 1838: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 56 terms

Substitution of q55 by an expression in 
q34, q33, p8, p5, p6 found in e_1052 : 10 factors in 3 terms

Step 1839: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 57 terms

Substitution of q41 by an expression in 
q35, p8, p7, p5, p6 found in e_1009 : 10 factors in 3 terms

Step 1840: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 59 terms

e_1322 is a consequence of e_1398.
*** Garbage collection starting 
*** GC 2306 31-Oct-2003 21:05:12, 40 ms (0%), 1437304 occupied, 23562643 free

Substitution of q24 by an expression in 
q35, q33, p7, p5, p6 found in e_1261 : 10 factors in 3 terms

Step 1841: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 60 terms

Substitution of q38 by an expression in 
q35, p8, p7, p5, p6 found in e_1082 : 9 factors in 3 terms

Step 1842: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 61 terms

Substitution of q22 by an expression in 
q35, q33, p7, p5, p6 found in e_1327 : 10 factors in 3 terms

Step 1843: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 61 terms

Substitution of q69 by an expression in 
q35, p8, p7, p6 found in e_1385 : 7 factors in 2 terms

Step 1844: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 52 terms
*** Garbage collection starting 
*** GC 2307 31-Oct-2003 21:05:13, 40 ms (0%), 1463926 occupied, 23536023 free

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 62 terms

e_1215 is a consequence of e_1383.
e_1215 is a consequence of e_1234.
Substitution of q56 by an expression in 
q35, q33, p8, p5, p6 found in e_750 : 10 factors in 3 terms

Step 1845: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 64 terms

e_1474 is a consequence of e_848.
e_1474 is a consequence of e_1129.
Substitution of q25 by an expression in 
q34, q33, p7, p5, p6 found in e_969 : 9 factors in 3 terms

Step 1846: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 65 terms

e_1303 is a consequence of e_1212.
Substitution of q42 by an expression in 
q33, p8, p7, p5, p6 found in e_1382 : 9 factors in 3 terms

Step 1847: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 65 terms

Substitution of q73 by an expression in 
q33, p8, p7, p6 found in e_1258 : 7 factors in 2 terms

Step 1848: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2308 31-Oct-2003 21:05:15, 30 ms (0%), 1437666 occupied, 23562283 free

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q21 by an expression in 
q36, q32, p8, p5, p6 found in e_831 : 8 factors in 3 terms

Step 1849: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 69 terms

Substitution of q67 by an expression in 
q80, q68, q52, q51, p7, p5, p6 found in e_1228 : 10 factors in 5 terms

Step 1850: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_848 and e_972. e_972: 
(#) 2 terms, 6 factors, with derivatives of functions of all variables: 

 (q34,q33,p8,p7,p5,p6)

is replaced by e_1322: 

0=p5*p7*p8*q33


Step 1851: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2309 31-Oct-2003 21:05:16, 40 ms (0%), 1452372 occupied, 23547575 free
Eliminate 
q35

from e_1383 and e_1330. e_1330: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

                   2      2
 (q35,q34,q33,p8,p5 ,p5,p6 ,p6)

is replaced by e_1082: 

0=p8*(p5*q33 - p6*q34)


e_1082 is a consequence of e_848.
Step 1852: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1234 and e_1435. e_1435: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

                   2      2
 (q35,q34,q33,p7,p5 ,p5,p6 ,p6)

is replaced by e_1327: 

0=p7*(p5*q33 - p6*q34)


e_1327 is a consequence of e_1129.
Step 1853: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_848 and e_1436. e_1436: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

                   2      2
 (q34,q33,q32,p8,p5 ,p5,p6 ,p6)

is replaced by e_1385: 

        2           2
0=p8*(p5 *q33 - 3*p6 *q32)


Step 1854: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_1129 and e_1212. e_1212: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

               2
 (q34,q33,p8,p7 ,p7,p5,p6)

is replaced by e_1474: 

0=p7*p8*q33

e_1322 is a consequence of e_1474

Step 1855: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1856: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 1857: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1858: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2310 31-Oct-2003 21:05:18, 40 ms (0%), 1452894 occupied, 23547052 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1859: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1860: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1861: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1862: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1863: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1864: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1865: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1866: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1867: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1868: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1869: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1870: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1871: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1872: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1873: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1874: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1875: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1876: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1877: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1878: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1879: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1880: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1881: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1882: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1883: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1884: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1885: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1886: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1887: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1888: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1889: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1890: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1891: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1892: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1893: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1894: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1895: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1896: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1897: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1898: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1899: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1900: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1901: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1902: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1903: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1904: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1905: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1906: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1907: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1908: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1909: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1910: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1911: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1912: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1913: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1914: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1915: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1916: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1917: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1918: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1919: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1920: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1921: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1922: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 1926: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q82 by an expression in 
q72, q29, p7, p6 found in e_1451 : 7 factors in 3 terms

Step 1927: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1928: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 1 term

Step 1933: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1934: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1935: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1936: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1937: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1938: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1939: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1940: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1941: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1942: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 1948: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1949: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1950: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1951: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1952: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1953: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1954: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2311 31-Oct-2003 21:05:19, 40 ms (0%), 1453326 occupied, 23546621 free
shortening by 1 term

Step 1955: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1956: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1957: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1958: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 2 terms

Step 1962: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 1964: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1965: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Length reducing decoupling steps : Eliminate 
q33

from e_1474 and e_831. e_831: 

0=p7*(2*p7*q34 - p8*q33)

is replaced by e_1490: 

0=p7*q34


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

e_1487 is a consequence of e_1490.
Step 1969: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1970: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1971: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1972: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1973: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1974: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1975: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 1 term

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 : 
The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 71 terms

Substitution of q71 by an expression in 
q33, p8, p7, p6 found in e_695 : 10 factors in 3 terms

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

e_1479 is a consequence of e_1519.
Step 1993: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1994: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1995: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 1998: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1999: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2000: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2001: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2002: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2003: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2004: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2005: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2006: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2007: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2008: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2009: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2010: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_1474,e_1303 are consequences of e_1487

Step 2011: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_971 is a consequence of e_1490.
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

e_1489 is a consequence of e_1490.
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

e_1434 is a consequence of e_1490.
Step 2014: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2015: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1418 is a consequence of e_1490.
Step 2016: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2017: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1449 is a consequence of e_1058.
Step 2018: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1266 is a consequence of e_1058.
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 5 terms

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 : 
The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 72 terms

Substitution of q40 by an expression in 
q34, q33, p8, p7, p5, p6 found in e_1477 : 10 factors in 3 terms

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

e_985 is a consequence of e_1490.
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

e_1495 is a consequence of e_1490.
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

e_729 is a consequence of e_1397.
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 1 term

Step 2030: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2031: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1479 is a consequence of e_1472.
Step 2032: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2033: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2034: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2035: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 : 
*** Garbage collection starting 
*** GC 2312 31-Oct-2003 21:05:21, 50 ms (0%), 1443340 occupied, 23556606 free
shortening by 1 term

Step 2040: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2041: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2042: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2043: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 2048: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

Substitution of q83 by an expression in 
q74, q72, q44, q28, p8, p7, p6 found in e_1474 : 18 factors in 5 terms

Step 2049: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2050: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2051: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2052: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2053: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2054: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2055: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2056: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2057: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

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 2 terms

Step 2068: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2069: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2070: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2071: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1341 is a consequence of e_487.
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

e_1477 is a consequence of e_848.
Step 2073: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2074: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q44 by an expression in 
q43, q29, q28, p5, p6 found in e_1466 : 8 factors in 4 terms

Step 2075: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2076: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2077: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1503 is a consequence of e_848.
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 2 terms

e_1272 is a consequence of e_848.
Step 2079: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2080: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2081: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2082: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2083: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2084: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2085: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2086: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2087: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2088: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2089: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2090: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2091: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2092: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2093: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2094: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2095: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2096: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2097: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2098: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2099: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2100: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2101: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2102: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2103: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2104: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2105: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2106: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2107: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2108: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2109: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2110: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2111: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2112: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2113: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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
e_1467 is a consequence of e_1484

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 2 terms

e_1471 is a consequence of e_831.
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
e_487 is a consequence of e_1029

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 2 terms
e_1252 is a consequence of e_1397

Step 2128: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 72 terms
*** Garbage collection starting 
*** GC 2313 31-Oct-2003 21:05:23, 40 ms (0%), 1451712 occupied, 23548237 free

The list of inequalities got extended by: 
An expression with 76 terms

e_1111 is a consequence of e_1484.
e_1494 is a consequence of e_1484.
e_1477 is a consequence of e_1484.
Substitution of q74 found in e_1397 : 
q74=0


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 2 terms

Step 2130: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 73 terms

Substitution of q28 found in e_1222 : 
q28=0


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 2 terms

Step 2132: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 72 terms

Substitution of q46 found in e_953 : 
q46=0


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 2 terms

Step 2134: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 71 terms

e_1303 is a consequence of e_1484.
e_1515 is a consequence of e_1484.
Substitution of q61 found in e_1134 : 
q61=0


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 : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 74 terms
*** Garbage collection starting 
*** GC 2314 31-Oct-2003 21:05:24, 40 ms (0%), 1439914 occupied, 23560035 free

Substitution of q72 by an expression in 
q39, q35, p8, p7, p6 found in e_1021 : 11 factors in 3 terms

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 2 terms

e_1465 is a consequence of e_831.
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 2 terms

e_1459 is a consequence of e_831.
Step 2139: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2140: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2141: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2142: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2143: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2144: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 74 terms

e_831 is a consequence of e_1484.
e_1445 is a consequence of e_1484.
Substitution of q39 by an expression in 
q35, p8, p5, p6 found in e_1481 : 
     6*p5*p8*q35
q39=-------------
           2
         p6


Step 2145: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2146: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2147: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2148: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2149: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2150: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 1 term

Step 2153: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2154: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2155: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2156: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2157: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 2159: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2160: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2161: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2162: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2163: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

Step 2169: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2170: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2171: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2172: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2173: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2174: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2175: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2176: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2177: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2178: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2179: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 1 term

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 1 term

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 1 term

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
e_1272 is a consequence of e_1068

Step 2185: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1448 is a consequence of e_953.
*** Garbage collection starting 
*** GC 2315 31-Oct-2003 21:05:25, 40 ms (0%), 1437856 occupied, 23562093 free

Substitution of q29 found in e_1068 : 
q29=0


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 1 term
e_953 is a consequence of e_1515

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

e_1454 is a consequence of e_1484.
Step 2188: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2189: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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 2 terms

Step 2194: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2195: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2196: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q70 by an expression in 
q36, p7, p5, p6 found in e_1073 : 
     8*p5*p7*q36
q70=-------------
           2
         p6


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

Step 2207: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1423 is a consequence of e_1483.
Step 2208: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2209: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

Step 2210: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 2213: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1289 is a consequence of e_1484.
Substitution of q60 by an expression in 
q36, p7, p5, p6 found in e_1498 : 
     8*p5*p7*q36
q60=-------------
           2
         p6


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 2 terms

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 2 terms

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 2 terms

Step 2218: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1327 is a consequence of e_1484.
e_1009 is a consequence of e_1484.
Substitution of q45 by an expression in 
q36, p7, p5, p6 found in e_1523 : 
     4*p5*p7*q36
q45=-------------
           2
         p6


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 2 terms

e_972 is a consequence of e_1504.
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 2 terms

Step 2222: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2223: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1326 is a consequence of e_1383.
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 2 terms

e_1491 is a consequence of e_1383.
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 2 terms

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

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

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 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 57 terms
*** Garbage collection starting 
*** GC 2316 31-Oct-2003 21:05:27, 40 ms (0%), 1445448 occupied, 23554501 free

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 72 terms

Substitution of q43 by an expression in 
q37, q35, p8, p7, p6 found in e_1043 : 11 factors in 3 terms

Step 2234: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_1501 is a consequence of e_1450

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

e_1458 is a consequence of e_1483.
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

e_1507 is a consequence of e_1483.
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

e_1199 is a consequence of e_1483.
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

e_1028 is a consequence of e_1483.
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_1488 is a consequence of e_1483.
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_1272 is a consequence of e_1484.
Step 2241: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2242: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2243: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2244: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

Step 2248: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2249: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2250: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2251: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2252: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2253: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 2255: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 2258: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q37 by an expression in 
q35, q33, p8, p5, p6 found in e_1452 : 10 factors in 3 terms

Step 2259: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_716 is a consequence of e_1487.
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 1 term

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 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 78 terms

e_1444 is a consequence of e_1383.
e_831 is a consequence of e_1448.
Substitution of q80 by an expression in 
q35, q33, p8, p5, p6 found in e_1222 : 9 factors in 3 terms

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 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 79 terms

e_812 is a consequence of e_1484.
Substitution of q66 by an expression in 
q52, q35, p8, p6 found in e_1521 : 7 factors in 3 terms

Step 2265: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2266: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2267: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2268: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1480 is a consequence of e_1484.
Step 2269: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 : shortening by 1 term

Step 2272: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2273: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2274: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2275: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2276: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2277: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2278: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2279: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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

Step 2281: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2282: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2283: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2284: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2285: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2286: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 2 terms

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 2 terms

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 2 terms

Step 2290: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2291: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

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 3 terms

e_1492 is a consequence of e_1383.
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 3 terms

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 3 terms

e_972 is a consequence of e_1383.
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 :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 1 term

Step 2300: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2301: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 3 terms

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 3 terms

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 3 terms

e_227 is a consequence of e_1016.
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 : 
*** Garbage collection starting 
*** GC 2317 31-Oct-2003 21:05:28, 40 ms (0%), 1421898 occupied, 23578049 free
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 1 term

Step 2312: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2313: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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

e_1236 is a consequence of e_735.
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 1 term

Step 2318: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

e_1488 is a consequence of e_1483.
Step 2322: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1471 is a consequence of e_1483.
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

e_1272 is a consequence of e_1483.
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

e_1219 is a consequence of e_1483.
Step 2325: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2326: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2327: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2328: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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

e_1226 is a consequence of e_1327.
Step 2330: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2331: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 1 term

Step 2333: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2334: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 78 terms

e_1501 is a consequence of e_1484.
e_1327 is a consequence of e_1169.
Substitution of q52 by an expression in 
q35, p8, p6 found in e_1068 : 
      36    2
     ----*p8 *q35
      5
q52=--------------
           2
         p6


Step 2335: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1519 is a consequence of e_1483.
Step 2336: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1234 is a consequence of e_1483.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q51

from e_1512 and e_1518. e_1518: 

0=(2*q51 - q68)*p7

is replaced by e_398: 

0=p7*q68


e_398 is a consequence of e_729.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_1029 and e_1261. e_1261: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2         2
 (q36,q32,p8 ,p8,p7,p5 ,p5,p6)

is replaced by e_1443: 

0=p5*p7*p8*q32


e_1443 is a consequence of e_954.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1112. e_1112: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2   2
 (q35,q33,p8 ,p7 ,p5,p6)

is replaced by e_1452: 

0=p7*q33


e_1452 is a consequence of e_1487.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_1258 and e_1322. e_1258: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2   2
 (q34,q33,p8 ,p7 ,p5,p6)

is replaced by e_1468: 

0=p5*p7*q33


e_1468 is a consequence of e_1487.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_1483 and e_1434. e_1434: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                2      2      2
 (q36,q35,q33,p8 ,p7,p5 ,p5,p6 ,p6)

is replaced by e_1215: 
(#) 2 terms, 6 factors, with derivatives of functions of all variables: 

               2
 (q35,q33,p8,p5 ,p5,p6)


e_1215 is a consequence of e_1383.
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 
q36

from e_1483 and e_995. e_995: 
 3 terms, 15 factors, with derivatives of functions of all variables: 

                3      2      3
 (q51,q36,q35,p8 ,p8,p7 ,p5,p6 ,p6)

is replaced by e_1450: 
(#) 2 terms, 9 factors, with derivatives of functions of all variables: 

            3         3
 (q51,q35,p8 ,p8,p5,p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1391. e_1391: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2      2
 (q36,q35,q33,p8 ,p7,p5 ,p5,p6 ,p6)

is replaced by e_991: 

              2     2
0=q36*p7*(2*p5  - p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1446. e_1446: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2      2
 (q36,q35,q33,p8 ,p7,p5 ,p5,p6 ,p6)

is replaced by e_831: 

              2     2
0=q36*p7*(2*p5  - p6 )


e_831 is a consequence of e_991.
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 :  --- 
Length reducing decoupling steps : A length reducing simplification (27
) was prevented
to avoid a cycle.
A length reducing simplification (27) was prevented
to avoid a cycle.
Eliminate 
q36

from e_991 and e_1520. e_1520: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2      2
 (q36,q35,q33,p8 ,p7,p5 ,p5,p6 ,p6)

is replaced by e_1222: 

0=p8*(3*p5*q35 - p6*q33)


e_1222 is a consequence of e_1383.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_991 and e_1448. e_1448: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2      2
 (q36,q35,q33,p8 ,p7,p5 ,p5,p6 ,p6)

is replaced by e_734: 

0=p8*(3*p5*q35 - p6*q33)


e_734 is a consequence of e_1383.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_727. e_727: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

                2         2      3   2
 (q36,q35,q33,p8 ,p8,p7,p5 ,p5,p6 ,p6 ,p6)

is replaced by e_812: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2            2
 (q36,q33,p8 ,p8,p7,p5,p6 ,p6)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1463. e_1463: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                       2      3
 (q36,q35,q33,q32,p8,p5 ,p5,p6 ,p6)

is replaced by e_1521: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                   2      2
 (q36,q33,q32,p8,p5 ,p5,p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1152. e_1152: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                    2   2      3
 (q68,q51,q35,q33,p8 ,p5 ,p5,p6 ,p6)

is replaced by e_1457: 

                 2     2
0=(q51 - q68)*(p5  + p6 )


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 : 
*** Garbage collection starting 
*** GC 2318 31-Oct-2003 21:05:30, 40 ms (0%), 1420754 occupied, 23579193 free
 --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_1483 and e_878. e_878: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2         2
 (q68,q36,q34,q33,p8 ,p7,p5,p6 ,p6)

is replaced by e_1418: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

                2      2
 (q68,q34,q33,p8 ,p5,p6 ,p6)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_848 and e_1418. e_1418: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

                2      2
 (q68,q34,q33,p8 ,p5,p6 ,p6)

is replaced by e_1021: 
(#) 2 terms, 7 factors, with derivatives of functions of all variables: 

            2      2
 (q68,q33,p8 ,p5,p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_1483 and e_1442. e_1442: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

                    3      2      3
 (q68,q36,q35,q33,p8 ,p8,p7 ,p5,p6 ,p6)

is replaced by e_1495: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q68,q35,q33,p8 ,p8,p5,p6 ,p6)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1495. e_1495: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q68,q35,q33,p8 ,p8,p5,p6 ,p6)

is replaced by e_1303: 
(#) 2 terms, 7 factors, with derivatives of functions of all variables: 

            3      2
 (q68,q33,p8 ,p8,p6 )


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 
q36

from e_1483 and e_1025. e_1025: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

                    3      2      3
 (q68,q65,q36,q35,p8 ,p8,p7 ,p5,p6 ,p6)

is replaced by e_1509: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q68,q65,q35,p8 ,p8,p5,p6 )


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 
q36

from e_1483 and e_1246. e_1246: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

                    3      2      3
 (q65,q51,q36,q35,p8 ,p8,p7 ,p5,p6 ,p6)

is replaced by e_1517: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q65,q51,q35,p8 ,p8,p5,p6 )


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 : Eliminate 
q51

from e_1450 and e_1517. e_1517: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q65,q51,q35,p8 ,p8,p5,p6 )

is replaced by e_1461: 
(#) 2 terms, 9 factors, with derivatives of functions of all variables: 

            3         3
 (q65,q35,p8 ,p8,p5,p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q65

from e_1461 and e_1509. e_1509: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

                3         3
 (q68,q65,q35,p8 ,p8,p5,p6 )

is replaced by e_1465: 
(#) 2 terms, 9 factors, with derivatives of functions of all variables: 

            3         3
 (q68,q35,p8 ,p8,p5,p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1497. e_1497: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                           2      3   2
 (q36,q35,q34,q33,q32,p8,p5 ,p5,p6 ,p6 ,p6)

is replaced by e_1475: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                       2      2
 (q36,q34,q33,q32,p8,p5 ,p5,p6 ,p6)


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 
q34

from e_848 and e_1475. e_1475: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                       2      2
 (q36,q34,q33,q32,p8,p5 ,p5,p6 ,p6)

is replaced by e_953: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                   2      2
 (q36,q33,q32,p8,p5 ,p5,p6 )


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 : Eliminate 
q35

from e_1383 and e_1477. e_1477: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q65,q51,q36,q35,q33,p8 ,p7,p5,p6 ,p6 ,p6)

is replaced by e_1255: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q65,q51,q36,p7,p6)


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 : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q65 by an expression in 
q51, q36, p7, p6 found in e_1255 : 8 factors in 3 terms

Step 2362: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_1511,e_1499,e_991,e_1483 are consequences of e_1451

Step 2363: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2364: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2365: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1052 is a consequence of e_1450.
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 2 terms

e_1498 is a consequence of e_1029.
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

e_1341 is a consequence of e_1029.
Step 2368: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1411 is a consequence of e_1029.
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 1 term

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 1 term

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 1 term

Step 2376: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2377: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_1383 and e_1494. e_1494: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2      3
 (q68,q51,q35,q33,p8 ,p5,p6 ,p6)

is replaced by e_1013: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

                2   2
 (q68,q51,q33,p8 ,p6 )


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 : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 80 terms

e_1021 is a consequence of e_1169.
e_1073 is a consequence of e_1383.
Substitution of q68 by an expression in 
q51, q33, p8, p6 found in e_1013 : 9 factors in 3 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 : 
*** Garbage collection starting 
*** GC 2319 31-Oct-2003 21:05:31, 40 ms (0%), 1411836 occupied, 23588113 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

e_972 is a consequence of e_1487.
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
e_1469 is a consequence of e_1378

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 : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 80 terms

e_1451 is a consequence of e_1487.
e_1029 is a consequence of e_1385.
e_1521 is a consequence of e_1385.
Substitution of q36 by an expression in 
q33, p8, p5, p6 found in e_1378 : 
     p5*p8*q33
q36=-----------
          2
        p6


Step 2382: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1273 is a consequence of e_1450.
Step 2383: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1482 is a consequence of e_1169.
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

e_993 is a consequence of e_1169.
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 2 terms

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 2 terms

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
e_1457,e_1169,e_1303 are consequences of e_750

Step 2389: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 77 terms

e_1512 is a consequence of e_1487.
e_1266 is a consequence of e_848.
e_1450 is a consequence of e_1383.
e_1516 is a consequence of e_1383.
e_1252 is a consequence of e_1383.
Substitution of q51 by an expression in 
q33, p8, p6 found in e_750 : 
      12    2
     ----*p8 *q33
      5
q51=--------------
           2
         p6


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 2 terms

Step 2391: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1384 is a consequence of e_1487.
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

e_1435 is a consequence of e_1383.
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

e_969 is a consequence of e_848.
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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1490 we get the alternative equations : 
0=p7


0=q34


New level : 1.1.1.1.2.1.
CRACK is now called with the new equation e_1504 : 
0=p7

e_954,e_1487,e_1484 are consequences of e_1504

Step 2396: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0317*p8 + g0319*p6 + g0320*p5


The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 26 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

Substitution of p7 found in e_1504 : 
p7=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1149 we get the alternative equations : 
0=p8


0=p5*q34 - 3*p6*q32


New level : 1.1.1.1.2.1.1.
CRACK is now called with the new equation e_1416 : 
0=p8

e_1385,e_1485,e_848,e_1383 are consequences of e_1416

Step 2398: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0319*p6 + g0320*p5


The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 
An expression with 4 terms

Substitution of p8 found in e_1416 : 
p8=0



>>>>>>>>> Solution of level 1.1.1.1.2.1.1. : 
no equations


Non-vanishing expressions: p6

g0282*q35 + g0283*q34 + g0284*q33 + g0285*q32


g0193*q35 + g0194*q34 + g0195*q33 + g0196*q32 + g0228*p6 + g0229*p5


g0040*q34 + g0041*q33 + g0042*q32 + g0071*p5


g0112*q35 + g0113*q34 + g0114*q33 + g0143*p6


g0319*p6 + g0320*p5


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0

q35, q34, q33, q32, 
q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, p5, 
p4=0


p3=0


p2=0


p1=0


with 91 terms
no equations
6 constants : p5,p6,q32,q33,q34,q35
The equation: 

f =D f*f *p5 + D f*f *p6
 t  2   x       1   x
The symmetry: 
        3               2                       2               3
f =(D f) *f *q32 + (D f) *D f*f *q34 + D f*(D f) *f *q33 + (D f) *f *q35
 s   2     x         2     1   x        2    1     x         1     x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,f(1))*df(f(1),x)*p6$
The symmetry: 
df(f(1),s)=d(2,f(1))**3*df(f(1),x)*q32 + d(2,f(1))**2*d(1,f(1))*df(f(1),x)*q34 +
 d(2,f(1))*d(1,f(1))**2*df(f(1),x)*q33 + d(1,f(1))**3*df(f(1),x)*q35$

Back to level : 1.1.1.1.2.1.
Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q35,q34,q33,q32,p8,p5,p6
New ordering: q35,q34,q33,q32,p5,p8,p6

New level : 1.1.1.1.2.1.2.
CRACK is now called with the new equation e_1416 : 
0=p5*q34 - 3*p6*q32


Step 2399: 
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 26 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1319 is a consequence of e_848.
Substitution of q32 by an expression in 
q34, p5, p6 found in e_1416 : 
      1
     ---*p5*q34
      3
q32=------------
         p6


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 : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 26 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_848 is a consequence of e_1383.
Substitution of q34 by an expression in 
q35, p5, p6 found in e_1485 : 
         2
     3*p5 *q35
q34=-----------
          2
        p6


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 : 
The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 19 terms

p5


The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 29 terms

q35

The lexicographical ordering of unknowns is changed
because q35 has to be non-zero, giving q35 a low priority.
Old ordering: q35,q33,p5,p8,p6
New ordering: q33,q35,p5,p8,p6

The list of inequalities got extended by: 

q33


Substitution of q33 by an expression in 
q35, p5, p6 found in e_1383 : 
     3*p5*q35
q33=----------
        p6



>>>>>>>>> Solution of level 1.1.1.1.2.1.2. : 
no equations


Non-vanishing expressions: q33,q35,p5,p6,p8
119 factors in 29 terms
151 factors in 30 terms

           2                  2                  2
18*g0012*p8 *q35 + 36*g0015*p8 *q35 + 54*g0016*p8 *q35 + 30*g0017*p6*p8*q35

 + 15*g0018*p5*p8*q35 + 30*g0024*p6*p8*q35 + 30*g0025*p5*p8*q35

                                   2                  2
 + 30*g0026*p6*p8*q35 + 36*g0027*p8 *q35 + 18*g0034*p8 *q35 + 30*g0035*p6*p8*q35

 + 30*g0036*p5*p8*q35 + 30*g0037*p6*p8*q35 + 30*g0038*p6*p8*q35

                                                        2                 2
 + 15*g0039*p5*p8*q35 + 15*g0040*p5*p6*q35 + 15*g0041*p6 *q35 + 5*g0042*p5 *q35

             3
 + 5*g0071*p6


           2                  2                  2
18*g0084*p8 *q35 + 36*g0087*p8 *q35 + 54*g0088*p8 *q35 + 15*g0089*p6*p8*q35

 + 30*g0090*p5*p8*q35 + 30*g0096*p5*p8*q35 + 30*g0097*p6*p8*q35

                                   2                  2
 + 30*g0098*p5*p8*q35 + 36*g0099*p8 *q35 + 18*g0106*p8 *q35 + 30*g0107*p5*p8*q35

 + 30*g0108*p6*p8*q35 + 30*g0109*p5*p8*q35 + 15*g0110*p6*p8*q35

                                  2                  2
 + 30*g0111*p5*p8*q35 + 5*g0112*p6 *q35 + 15*g0113*p5 *q35 + 15*g0114*p5*p6*q35

             3
 + 5*g0143*p6


g0317*p8 + g0319*p6 + g0320*p5


functions : 
      54    3
     ----*p8 *q35
      35
q83=--------------
           3
         p6


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


      18    2
     ----*p8 *q35
      5
q72=--------------
           2
         p6


      18       2
     ----*p5*p8 *q35
      5
q71=-----------------
             3
           p6


q70=0


q69=0


      36       2
     ----*p5*p8 *q35
      5
q68=-----------------
             3
           p6


      36    2
     ----*p8 *q35
      5
q67=--------------
           2
         p6


      54    2
     ----*p8 *q35
      5
q66=--------------
           2
         p6


      54       2
     ----*p5*p8 *q35
      5
q65=-----------------
             3
           p6


     3*p8*q35
q64=----------
        p6


     6*p5*p8*q35
q63=-------------
           2
         p6


         2
     3*p5 *p8*q35
q62=--------------
           3
         p6


q61=0


q60=0


q59=0


q58=0


q57=0


     6*p5*p8*q35
q56=-------------
           2
         p6


         2
     6*p5 *p8*q35
q55=--------------
           3
         p6


     6*p8*q35
q54=----------
        p6


     6*p5*p8*q35
q53=-------------
           2
         p6


      36    2
     ----*p8 *q35
      5
q52=--------------
           2
         p6


      36       2
     ----*p5*p8 *q35
      5
q51=-----------------
             3
           p6


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


      18       2
     ----*p5*p8 *q35
      5
q44=-----------------
             3
           p6


      18    2
     ----*p8 *q35
      5
q43=--------------
           2
         p6


     6*p5*p8*q35
q42=-------------
           2
         p6


     6*p8*q35
q41=----------
        p6


         2
     6*p5 *p8*q35
q40=--------------
           3
         p6


     6*p5*p8*q35
q39=-------------
           2
         p6


     3*p8*q35
q38=----------
        p6


     6*p5*p8*q35
q37=-------------
           2
         p6


         2
     3*p5 *p8*q35
q36=--------------
           3
         p6

q35, 
         2
     3*p5 *q35
q34=-----------
          2
        p6


     3*p5*q35
q33=----------
        p6


       3
     p5 *q35
q32=---------
         3
       p6


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0

p8, 
p7=0

p6, p5, 
p4=0


p3=0


p2=0


p1=0


with 119 terms
no equations
4 constants : p5,p6,p8,q35
The equation: 

f =D f*f *p5 + D f*f *p6 + f  *p8
 t  2   x       1   x       3x
The symmetry: 
     18                2        36                 2
f =(----*D f  *f *p5*p8 *q35 + ----*D f  *f  *p5*p8 *q35
 s   5    2 4x  x               5    2 3x  2x

                        2
     + 6*D f  *D f*f *p5 *p8*q35 + 6*D f  *D f*f *p5*p6*p8*q35
          2 2x  2   x                 2 2x  1   x

        54                 2               2      2
     + ----*D f  *f  *p5*p8 *q35 + 3*(D f ) *f *p5 *p8*q35
        5    2 2x  3x                  2 x    x

                        2
     + 6*D f *D f*f  *p5 *p8*q35 + 6*D f *D f *f *p5*p6*p8*q35
          2 x  2   2x                 2 x  1 x  x

                                      36                2
     + 6*D f *D f*f  *p5*p6*p8*q35 + ----*D f *f  *p5*p8 *q35
          2 x  1   2x                 5    2 x  4x

            3      3              2          2                 2       2
     + (D f) *f *p5 *q35 + 3*(D f) *D f*f *p5 *p6*q35 + 3*(D f) *f  *p5 *p8*q35
         2     x               2     1   x                  2     3x

     + 6*D f*D f  *f *p5*p6*p8*q35 + 6*D f*D f *f  *p5*p6*p8*q35
          2   1 2x  x                   2   1 x  2x

                  2         2
     + 3*D f*(D f) *f *p5*p6 *q35 + 6*D f*D f*f  *p5*p6*p8*q35
          2    1     x                 2   1   3x

        18               2        18                2
     + ----*D f*f  *p5*p8 *q35 + ----*D f  *f *p6*p8 *q35
        5    2   5x               5    1 4x  x

        36                 2                        2
     + ----*D f  *f  *p6*p8 *q35 + 6*D f  *D f*f *p6 *p8*q35
        5    1 3x  2x                 1 2x  1   x

        54                 2               2      2
     + ----*D f  *f  *p6*p8 *q35 + 3*(D f ) *f *p6 *p8*q35
        5    1 2x  3x                  1 x    x

                        2           36                2            3      3
     + 6*D f *D f*f  *p6 *p8*q35 + ----*D f *f  *p6*p8 *q35 + (D f) *f *p6 *q35
          1 x  1   2x               5    1 x  4x                1     x

              2       2           18               2        54        3        3
     + 3*(D f) *f  *p6 *p8*q35 + ----*D f*f  *p6*p8 *q35 + ----*f  *p8 *q35)/p6
           1     3x               5    1   5x               35   7x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,f(1))*df(f(1),x)*p6 + df(f(1),x,3)*p8$
The symmetry: 
df(f(1),s)=(18/5*d(2,df(f(1),x,4))*df(f(1),x)*p5*p8**2*q35 + 36/5*d(2,df(f(1),x,
3))*df(f(1),x,2)*p5*p8**2*q35 + 6*d(2,df(f(1),x,2))*d(2,f(1))*df(f(1),x)*p5**2*
p8*q35 + 6*d(2,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p5*p6*p8*q35 + 54/5*d(2,df(f(1
),x,2))*df(f(1),x,3)*p5*p8**2*q35 + 3*d(2,df(f(1),x))**2*df(f(1),x)*p5**2*p8*q35
 + 6*d(2,df(f(1),x))*d(2,f(1))*df(f(1),x,2)*p5**2*p8*q35 + 6*d(2,df(f(1),x))*d(1
,df(f(1),x))*df(f(1),x)*p5*p6*p8*q35 + 6*d(2,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*
p5*p6*p8*q35 + 36/5*d(2,df(f(1),x))*df(f(1),x,4)*p5*p8**2*q35 + d(2,f(1))**3*df(
f(1),x)*p5**3*q35 + 3*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p5**2*p6*q35 + 3*d(2,f(1
))**2*df(f(1),x,3)*p5**2*p8*q35 + 6*d(2,f(1))*d(1,df(f(1),x,2))*df(f(1),x)*p5*p6
*p8*q35 + 6*d(2,f(1))*d(1,df(f(1),x))*df(f(1),x,2)*p5*p6*p8*q35 + 3*d(2,f(1))*d(
1,f(1))**2*df(f(1),x)*p5*p6**2*q35 + 6*d(2,f(1))*d(1,f(1))*df(f(1),x,3)*p5*p6*p8
*q35 + 18/5*d(2,f(1))*df(f(1),x,5)*p5*p8**2*q35 + 18/5*d(1,df(f(1),x,4))*df(f(1)
,x)*p6*p8**2*q35 + 36/5*d(1,df(f(1),x,3))*df(f(1),x,2)*p6*p8**2*q35 + 6*d(1,df(f
(1),x,2))*d(1,f(1))*df(f(1),x)*p6**2*p8*q35 + 54/5*d(1,df(f(1),x,2))*df(f(1),x,3
)*p6*p8**2*q35 + 3*d(1,df(f(1),x))**2*df(f(1),x)*p6**2*p8*q35 + 6*d(1,df(f(1),x)
)*d(1,f(1))*df(f(1),x,2)*p6**2*p8*q35 + 36/5*d(1,df(f(1),x))*df(f(1),x,4)*p6*p8
**2*q35 + d(1,f(1))**3*df(f(1),x)*p6**3*q35 + 3*d(1,f(1))**2*df(f(1),x,3)*p6**2*
p8*q35 + 18/5*d(1,f(1))*df(f(1),x,5)*p6*p8**2*q35 + 54/35*df(f(1),x,7)*p8**3*q35
)/p6**3$

Back to level : 1.1.1.1.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.2.
Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q35,q34,q33,q32,p8,p7,p5,p6
New ordering: q35,q34,q33,q32,p8,p5,p7,p6

New level : 1.1.1.1.2.2.
CRACK is now called with the new equation e_1504 : 
0=q34


Step 2402: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 51 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1416 is a consequence of e_1487.
e_1319 is a consequence of e_954.
e_1398 is a consequence of e_1484.
Substitution of q34 found in e_1504 : 
q34=0


Step 2403: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 68 terms

e_1385 is a consequence of e_1487.
Substitution of q32 found in e_954 : 
q32=0


Step 2404: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 34 terms

q35

The lexicographical ordering of unknowns is changed
because q35 has to be non-zero, giving q35 a low priority.
Old ordering: q35,q33,p8,p5,p7,p6
New ordering: q33,q35,p8,p5,p7,p6

Substitution of q33 found in e_1487 : 
q33=0


Step 2405: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q35=0

because of the non-vanishing expression:
q35


Back to level : 1.1.1.1.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.
Time: 0 ms

Time: 0 ms
*** Garbage collection starting 
*** GC 2320 31-Oct-2003 21:05:33, 20 ms (0%), 1236103 occupied, 23763849 free

Time: 70 ms  plus GC time: 20 ms

The list of inequalities got extended by: 

p4


New level : 1.1.1.2.
CRACK is now called with the new equation e_1274 : 
0=q16

e_965,e_729 are consequences of e_1274

Step 2406: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 83 terms

e_1072 is a consequence of e_730.
Substitution of q16 found in e_1274 : 
q16=0


Step 2407: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 81 terms
*** Garbage collection starting 
*** GC 2321 31-Oct-2003 21:05:34, 40 ms (0%), 1372201 occupied, 23627720 free

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 82 terms

e_972 is a consequence of e_730.e_952 is a consequence of e_972

Substitution of q12 found in e_551 : 
q12=0


Step 2408: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 81 terms

Substitution of q11 found in e_547 : 
q11=0


Step 2409: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 79 terms
*** Garbage collection starting 
*** GC 2322 31-Oct-2003 21:05:34, 40 ms (0%), 1398025 occupied, 23601895 free

The list of inequalities got extended by: 
An expression with 80 terms

Substitution of q13 found in e_690 : 
q13=0


Step 2410: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 79 terms

e_61 is a consequence of e_1076.e_962,e_1136,e_1104 are consequences of e_61

e_1013 is a consequence of e_1076.
Substitution of q15 found in e_947 : 
q15=0


Step 2411: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q14 found in e_948 : 
q14=0


Step 2412: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2323 31-Oct-2003 21:05:35, 40 ms (0%), 1391943 occupied, 23607947 free

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of q5 found in e_802 : 
q5=0


Step 2413: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q31 found in e_730 : 
q31=0


Step 2414: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2324 31-Oct-2003 21:05:35, 60 ms (0%), 1388177 occupied, 23611745 free

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 75 terms

Substitution of q3 found in e_768 : 
q3=0


Step 2415: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 74 terms

Substitution of q30 found in e_1076 : 
q30=0


Step 2416: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 72 terms
*** Garbage collection starting 
*** GC 2325 31-Oct-2003 21:05:36, 40 ms (0%), 1426071 occupied, 23573837 free

The list of inequalities got extended by: 
An expression with 73 terms

e_1071 is a consequence of e_1005.
e_1175 is a consequence of e_1005.e_951 is a consequence of e_1009

Substitution of q4 found in e_919 : 
q4=0


Step 2417: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 72 terms
e_691 is a consequence of e_1257

Substitution of q6 found in e_1005 : 
q6=0


Step 2418: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 70 terms
*** Garbage collection starting 
*** GC 2326 31-Oct-2003 21:05:37, 30 ms (0%), 1454901 occupied, 23545011 free

The list of inequalities got extended by: 
An expression with 71 terms

e_1277 is a consequence of e_1257.
e_1062 is a consequence of e_1257.
e_1279 is a consequence of e_1082.
e_1155 is a consequence of e_807.
Substitution of q1 found in e_1009 : 
q1=0


Step 2419: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1072 is a consequence of e_42.
e_1260 is a consequence of e_928.
Substitution of q2 found in e_1257 : 
q2=0


Step 2420: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1219 is a consequence of e_972.
Substitution of q9 by an expression in 
q8 found in e_1208 : 
q9= - q8


Step 2421: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 58 terms
*** Garbage collection starting 
*** GC 2327 31-Oct-2003 21:05:38, 40 ms (0%), 1436217 occupied, 23563697 free

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 68 terms

e_547 is a consequence of e_42.e_966 is a consequence of e_1070

e_988 is a consequence of e_1070.
Substitution of q8 found in e_972 : 
q8=0


Step 2422: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 67 terms
e_992,e_800 are consequences of e_42

Substitution of q75 found in e_1040 : 
q75=0


Step 2423: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 57 terms
*** Garbage collection starting 
*** GC 2328 31-Oct-2003 21:05:39, 40 ms (0%), 1436731 occupied, 23563191 free

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 66 terms
e_1112 is a consequence of e_1010

e_1044 is a consequence of e_1201.
e_1125 is a consequence of e_1201.
e_956 is a consequence of e_1010.
e_851 is a consequence of e_1010.
e_760 is a consequence of e_1010.
Substitution of q10 found in e_1070 : 
q10=0


Step 2424: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 65 terms

e_1109 is a consequence of e_1054.
e_1121 is a consequence of e_1054.
e_1000 is a consequence of e_1010.
Substitution of q78 found in e_42 : 
q78=0


Step 2425: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 55 terms
*** Garbage collection starting 
*** GC 2329 31-Oct-2003 21:05:40, 40 ms (0%), 1444313 occupied, 23555602 free

The list of inequalities got extended by: 
An expression with 55 terms

The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 64 terms

e_388 is a consequence of e_1010.
e_1119 is a consequence of e_952.
e_896 is a consequence of e_1010.
e_1261 is a consequence of e_1010.
e_799 is a consequence of e_1054.
e_838 is a consequence of e_1010.
e_1086 is a consequence of e_1064.
e_768 is a consequence of e_928.
e_1110 is a consequence of e_1054.
Substitution of q79 found in e_1201 : 
q79=0


Step 2426: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 63 terms

e_1064 is a consequence of e_1054.
e_1069 is a consequence of e_1054.
e_1071 is a consequence of e_928.e_1020,e_734,e_1001,e_952 are consequences of 
e_970

e_1274 is a consequence of e_928.
e_684 is a consequence of e_928.
e_1107 is a consequence of e_970.
e_1189 is a consequence of e_1054.
Substitution of q7 found in e_1010 : 
q7=0


Step 2427: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 53 terms
*** Garbage collection starting 
*** GC 2330 31-Oct-2003 21:05:41, 40 ms (0%), 1444957 occupied, 23554955 free

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 62 terms

e_928 is a consequence of e_970.
e_1136 is a consequence of e_970.
e_829 is a consequence of e_970.
e_1032 is a consequence of e_970.
Substitution of q76 found in e_1054 : 
q76=0


Step 2428: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 61 terms

Substitution of q77 found in e_970 : 
q77=0


Step 2429: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 62 terms
*** Garbage collection starting 
*** GC 2331 31-Oct-2003 21:05:42, 50 ms (0%), 1447229 occupied, 23552678 free

Substitution of q58 by an expression in 
q40, q27 found in e_1027 : 7 factors in 3 terms

Step 2430: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q59 by an expression in 
q57, q42, q39, q26, q25 found in e_1213 : 16 factors in 6 terms

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 : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q32 by an expression in 
q19, p5, p4 found in e_453 : 
      1
     ---*p5*q19
      3
q32=------------
         p4


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 : 
The list of inequalities got extended by: 
An expression with 58 terms
*** Garbage collection starting 
*** GC 2332 31-Oct-2003 21:05:43, 40 ms (0%), 1468477 occupied, 23531439 free

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 67 terms

Substitution of q35 by an expression in 
q20, q18, p6, p4 found in e_243 : 10 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 68 terms

Substitution of q70 by an expression in 
q81, q45, p7, p4 found in e_161 : 
     p4*q45 + p7*q81
q70=-----------------
           p4


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 : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 69 terms

Substitution of q33 by an expression in 
q19, q18, p6, p4 found in e_801 : 8 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 61 terms
*** Garbage collection starting 
*** GC 2333 31-Oct-2003 21:05:44, 40 ms (0%), 1499909 occupied, 23499990 free

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q34 by an expression in 
q19, q17, p6, p4 found in e_1065 : 7 factors in 3 terms

Step 2436: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q19 by an expression in 
q20, q18, p6, p5, p4 found in e_1087 : 11 factors in 4 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 : 
The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 68 terms
*** Garbage collection starting 
*** GC 2334 31-Oct-2003 21:05:45, 30 ms (0%), 1527201 occupied, 23472699 free

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q50 by an expression in 
q81, q36, q22, p5, p4 found in e_1024 : 16 factors in 5 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 : 
The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 82 terms

Substitution of q80 by an expression in 
q81, q48, q37, q23, p6, p4 found in e_861 : 14 factors in 5 terms

Step 2439: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
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 : shortening by 1 term

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 : 
*** Garbage collection starting 
*** GC 2335 31-Oct-2003 21:05:47, 40 ms (0%), 1579846 occupied, 23419968 free
Eliminate 
q73

from e_702 and e_4. e_702: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q73,q62,q40,q27,p7,p5,p4)

is replaced by e_453: 

0=(q27 + q40 - 4*q62)*p7


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 : 
*** Garbage collection starting 
*** GC 2336 31-Oct-2003 21:05:48, 40 ms (0%), 1504760 occupied, 23494988 free
Eliminate 
q62

from e_453 and e_4. e_4: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q73,q62,q40,q27,p7,p5,p4)

is replaced by e_1295: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q73,q40,q27,p7,p5,p4)


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 : 
*** Garbage collection starting 
*** GC 2337 31-Oct-2003 21:05:49, 50 ms (0%), 1671662 occupied, 23328155 free
Eliminate 
q62

from e_453 and e_737. e_737: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q73,q62,q57,q40,q27,p8,p7,p5)

is replaced by e_1299: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q73,q57,q40,q27,p8,p7,p5)


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 
q73

from e_1277 and e_691. e_1277: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q73,q63,q57,q42,p7,p6)

is replaced by e_1304: 

0=(q25 - q42 - 2*q57 + q63)*p7


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 
q63

from e_1304 and e_691. e_691: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q73,q63,q57,q25,p7,p6)

is replaced by e_1309: 

0=p6*q73 - p7*q25 - p7*q42


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 
q82

from e_1283 and e_22. e_1283: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q82,q73,q72,q43,p7,p6)

is replaced by e_1313: 

0=(q29 - q43 + q72 - q73)*p7


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 : 
*** Garbage collection starting 
*** GC 2338 31-Oct-2003 21:05:50, 40 ms (0%), 1566167 occupied, 23433644 free
Eliminate 
q73

from e_1313 and e_22. e_22: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q82,q73,q72,q29,p7,p6)

is replaced by e_1318: 

0=p6*q82 - p7*q29 - p7*q43


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 
q73

from e_1313 and e_472. e_472: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q83,q73,q72,q71,q43,q29,p8,p7,p5)

is replaced by e_1322: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q83,q72,q71,q43,q29,p8,p7,p5)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q73

from e_1313 and e_474. e_474: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q83,q74,q73,q72,q43,q29,p8,p7,p4)

is replaced by e_1328: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q83,q74,q72,q43,q29,p8,p7,p4)


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 : 
The list of inequalities got extended by: 
An expression with 84 terms

Substitution of q83 by an expression in 
q74, q72, q43, q29, p8, p7, p4 found in e_1328 : 14 factors in 5 terms

Step 2452: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2339 31-Oct-2003 21:05:51, 50 ms (0%), 1574530 occupied, 23425282 free
Eliminate 
q63

from e_1304 and e_1022. e_1022: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q71,q63,q62,q57,q42,q25,p8,p7,p5)

is replaced by e_1359: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q71,q62,q57,p8,p7,p5)


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 : 
*** Garbage collection starting 
*** GC 2340 31-Oct-2003 21:05:52, 50 ms (0%), 1702093 occupied, 23297655 free
*** Garbage collection starting 
*** GC 2341 31-Oct-2003 21:05:54, 50 ms (0%), 1654973 occupied, 23344796 free
*** Garbage collection starting 
*** GC 2342 31-Oct-2003 21:05:55, 50 ms (0%), 1601990 occupied, 23397819 free
*** Garbage collection starting 
*** GC 2343 31-Oct-2003 21:05:56, 50 ms (0%), 1539048 occupied, 23460763 free
*** Garbage collection starting 
*** GC 2344 31-Oct-2003 21:05:57, 50 ms (0%), 1692955 occupied, 23306836 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_450 we get the alternative equations : 
0=p6


0=q17


New level : 1.1.1.2.1.
CRACK is now called with the new equation e_1373 : 
0=p6

e_752 is a consequence of e_1373

Step 2454: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of p6 found in e_1373 : 
p6=0


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 : 
*** Garbage collection starting 
*** GC 2345 31-Oct-2003 21:05:58, 50 ms (0%), 1606616 occupied, 23393276 free

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 78 terms
e_1013 is a consequence of e_1307

e_1456 is a consequence of e_1307.
Substitution of q63 by an expression in 
q57, q42 found in e_1306 : 
q63=2*q42 + 2*q57


Step 2456: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of q42 by an expression in 
q25 found in e_1307 : 
q42= - q25


Step 2457: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2346 31-Oct-2003 21:06:00, 50 ms (0%), 1572614 occupied, 23427308 free

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 75 terms

e_1389 is a consequence of e_1431.
e_1364 is a consequence of e_1302.
Substitution of q57 by an expression in 
q25 found in e_702 : 
     1
q57=---*q25
     2


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 : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of q64 by an expression in 
q41, q40, q27 found in e_1371 : 8 factors in 4 terms

Step 2459: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 77 terms
*** Garbage collection starting 
*** GC 2347 31-Oct-2003 21:06:01, 40 ms (0%), 1573872 occupied, 23426025 free

Substitution of q41 by an expression in 
q24 found in e_1372 : 
q41= - q24


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 : 
The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 78 terms
e_861 is a consequence of e_1300

e_1491 is a consequence of e_1300.
Substitution of q73 by an expression in 
q72, q43 found in e_737 : 
q73= - 2*q43 + q72


Step 2461: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 76 terms

Substitution of q43 by an expression in 
q29 found in e_1300 : 
q43= - q29


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 : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 78 terms
*** Garbage collection starting 
*** GC 2348 31-Oct-2003 21:06:02, 50 ms (0%), 1577350 occupied, 23422550 free

Substitution of q62 by an expression in 
q40, q27, q24 found in e_1312 : 8 factors in 4 terms

Step 2463: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 92 terms

Substitution of q81 by an expression in 
q54, q47, q27, q24, q22 found in e_1315 : 7 factors in 6 terms

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 : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 96 terms
*** Garbage collection starting 
*** GC 2349 31-Oct-2003 21:06:03, 50 ms (0%), 1581016 occupied, 23418890 free

Substitution of q22 by an expression in 
q20, q18, p8, p7, p4 found in e_1296 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 98 terms

Substitution of q17 by an expression in 
q18, p5, p4 found in e_1305 : 10 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 103 terms
*** Garbage collection starting 
*** GC 2350 31-Oct-2003 21:06:04, 50 ms (0%), 1586950 occupied, 23412960 free

Substitution of q25 by an expression in 
q20, q18, p8, p7, p4 found in e_1326 : 8 factors in 3 terms

Step 2467: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 106 terms

Substitution of q55 by an expression in 
q47, q27, p5, p4 found in e_4 : 13 factors in 5 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 : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 100 terms
*** Garbage collection starting 
*** GC 2351 31-Oct-2003 21:06:06, 50 ms (0%), 1602364 occupied, 23397526 free

The list of inequalities got extended by: 
An expression with 110 terms

The list of inequalities got extended by: 
An expression with 111 terms

Substitution of q37 by an expression in 
q23, q20, q18, p8, p7, p5, p4 found in e_22 : 12 factors in 5 terms

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 : 
The list of inequalities got extended by: 
An expression with 115 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q40 by an expression in 
q27, q24, q20, q18, p8, p7, p4 found in e_1395 : 13 factors in 5 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 2 terms

Step 2471: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_1536 is a consequence of e_1302.
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 : 
*** Garbage collection starting 
*** GC 2352 31-Oct-2003 21:06:07, 50 ms (0%), 1588114 occupied, 23411798 free
 --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1409. e_1409: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

 (q20,q18,p8,p7,p5,p4)

is replaced by e_1537: 

0=q20*p7*(p4 - p5)


e_1537 is a consequence of e_1302.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1431. e_1431: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

 (q20,q18,p8,p7,p5,p4)

is replaced by e_1373: 

0=q20*p7*(p4 - p5)


e_1373 is a consequence of e_1302.
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 :  --- 
Length reducing decoupling steps : A length reducing simplification (27
) was prevented
to avoid a cycle.
Eliminate 
q20

from e_1302 and e_1323. e_1323: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                      2
 (q53,q49,q20,p7,p5,p4 ,p4)

is replaced by e_1013: 

0=q49 + q53


Step 2475: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2353 31-Oct-2003 21:06:09, 50 ms (0%), 1617106 occupied, 23382758 free

The list of inequalities got extended by: 
An expression with 115 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q53 by an expression in 
q49 found in e_1013 : 
q53= - q49


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 : 
Substitution of q37 by an expression in 
q23, q20, q18, p8, p7, p5, p4 found in e_22 : 12 factors in 5 terms

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 : 
Substitution of q40 by an expression in 
q27, q24, q20, q18, p8, p7, p4 found in e_1395 : 13 factors in 5 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1397. e_1397: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

 (q20,q18,p8,p7,p5,p4)

is replaced by e_702: 

0=q20*p7*(p4 - p5)


e_702 is a consequence of e_1302.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2354 31-Oct-2003 21:06:10, 60 ms (0%), 1740188 occupied, 23259590 free
*** Garbage collection starting 
*** GC 2355 31-Oct-2003 21:06:12, 60 ms (0%), 1676440 occupied, 23323307 free
*** Garbage collection starting 
*** GC 2356 31-Oct-2003 21:06:13, 50 ms (0%), 1596868 occupied, 23402860 free
*** Garbage collection starting 
*** GC 2357 31-Oct-2003 21:06:15, 60 ms (0%), 1723280 occupied, 23276485 free
*** Garbage collection starting 
*** GC 2358 31-Oct-2003 21:06:17, 60 ms (0%), 1654465 occupied, 23345290 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1302 we get the alternative equations : 
0=p7


0=p4 - p5


0=q20


New level : 1.1.1.2.1.1.
CRACK is now called with the new equation e_1326 : 
0=p7

e_1503 is a consequence of e_1326

Step 2480: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 

g0317*p8 + g0320*p5 + g0321*p4


e_1525 is a consequence of e_1524.
e_1545 is a consequence of e_1527.
e_1548 is a consequence of e_1527.
e_1560 is a consequence of e_1535.
e_1590 is a consequence of e_1554.
e_1591 is a consequence of e_1527.
e_1599 is a consequence of e_1552.
e_1656 is a consequence of e_1310.
Substitution of p7 found in e_1326 : 
p7=0


Step 2481: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 83 terms
*** Garbage collection starting 
*** GC 2359 31-Oct-2003 21:06:18, 60 ms (0%), 1646861 occupied, 23353054 free

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 93 terms

e_1530 is a consequence of e_1557.
e_1532 is a consequence of e_1559.
e_1566 is a consequence of e_1554.
Substitution of q72 by an expression in 
q29 found in e_1538 : 
q72= - q29


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 : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 95 terms

Substitution of q74 by an expression in 
q44, q28 found in e_1569 : 7 factors in 3 terms

Step 2483: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 95 terms

e_1578 is a consequence of e_1534.
e_1554 is a consequence of e_1534.
e_1589 is a consequence of e_1527.
Substitution of q29 by an expression in 
q18, p8, p4 found in e_1552 : 
         6    2
      - ---*p8 *q18
         5
q29=----------------
            2
          p4


Step 2484: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 95 terms

e_1524 is a consequence of e_1534.
e_1559 is a consequence of e_1534.
Substitution of q82 by an expression in 
q18, p8, p4 found in e_1557 : 
         18    3
      - ----*p8 *q18
         35
q82=-----------------
             3
           p4


Step 2485: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 94 terms
*** Garbage collection starting 
*** GC 2360 31-Oct-2003 21:06:19, 60 ms (0%), 1647729 occupied, 23352167 free

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 95 terms

Substitution of q71 by an expression in 
q27, p8, p4 found in e_1526 : 
      3
     ---*p8*q27
      5
q71=------------
         p4


Step 2486: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 95 terms

e_1521 is a consequence of e_1534.
e_1520 is a consequence of e_1534.
e_1561 is a consequence of e_1534.
e_1608 is a consequence of e_1534.
Substitution of q49 by an expression in 
q18, p8, p4 found in e_1527 : 
      - 2*p8*q18
q49=-------------
         p4


Step 2487: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 97 terms

e_1293 is a consequence of e_1519.
e_1535 is a consequence of e_1519.
e_1550 is a consequence of e_1519.
Substitution of q24 by an expression in 
q20, p8, p5, p4 found in e_1528 : 9 factors in 3 terms

Step 2488: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2361 31-Oct-2003 21:06:21, 50 ms (0%), 1635375 occupied, 23364536 free

Step 2489: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 99 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 81 terms

Substitution of q21 by an expression in 
q23, q18, p8, p5, p4 found in e_1558 : 13 factors in 4 terms

Step 2490: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 84 terms

Substitution of q56 by an expression in 
q48, q39, q26, q18, p8, p4 found in e_1529 : 11 factors in 5 terms

Step 2491: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 87 terms

Substitution of q66 by an expression in 
q48, q45, q26, q23, p8, p4 found in e_1542 : 11 factors in 5 terms

Step 2492: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms

Substitution of q68 by an expression in 
q46, q28, p5, p4 found in e_1606 : 13 factors in 5 terms

Step 2493: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2362 31-Oct-2003 21:06:22, 50 ms (0%), 1636267 occupied, 23363648 free
 --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1640 and e_1556. e_1556: 

0=(3*q28 + q44 - 2*q46)*p8

is replaced by e_1525: 

0=(2*q28 - q46)*p8


Step 2494: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2495: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2496: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2497: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2498: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1640 and e_1635. e_1635: 

0=(q28 + q44 - q69)*p8

is replaced by e_1693: 

0=(2*q28 - q69)*p8


Step 2499: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1640 and e_1540. e_1540: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q44,q28,q27,p8 ,p8,p5)

is replaced by e_1696: 
(#) 2 terms, 5 factors, with derivatives of functions of all variables: 

            2
 (q28,q27,p8 ,p8,p5)


e_1696 is a consequence of e_1603.
Step 2500: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1640 and e_1641. e_1641: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q44,q28,p8,p5,p4)

is replaced by e_1697: 

0=q28*p8*(p4 - p5)


Step 2501: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1658. e_1658: 
(#) 4 terms, 8 factors, with derivatives of functions of all variables: 

            2      3   2
 (q45,q18,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1699: 

0=q45*(p4 - p5)


Step 2502: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1535 is a consequence of e_1534.
Step 2503: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2504: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2505: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2506: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2507: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2508: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1575. e_1575: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q26,q18,p8 ,p8,p4)

is replaced by e_1523: 

0=p8*(p4*q39 - 2*p8*q18)


e_1523 is a consequence of e_1572.
Step 2509: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1573. e_1573: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q26,q23,q18,p8 ,p8,p4)

is replaced by e_1558: 

0=p8*(p4*q23 - p8*q18)


Step 2510: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2363 31-Oct-2003 21:06:24, 50 ms (0%), 1649010 occupied, 23350628 free
Eliminate 
q27

from e_1539 and e_1536. e_1536: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q27,q20,p8 ,p8,p5,p4)

is replaced by e_1307: 

0=p8*q20*(p4 - p5)


e_1307 is a consequence of e_1519.
Step 2511: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1587 and e_1585. e_1587: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1389: 

0=q18*p8*(p4 - p5)


e_1389 is a consequence of e_1534.
Step 2512: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q45

from e_1650 and e_1564. e_1650: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

            3         3
 (q45,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1364: 

0=p8*q18*(p4 - p5)


e_1364 is a consequence of e_1534.
Step 2513: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1565 and e_1551. e_1565: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2      3   2
 (q27,q20,p8,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1397: 

0=q20*p8*(p4 - p5)


e_1397 is a consequence of e_1519.
Step 2514: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1640 and e_1653. e_1653: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q51,q44,q28,p8,p5,p4)

is replaced by e_702: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q51,q28,p8,p5,p4)


Step 2515: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1603 and e_1570. e_1570: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q44,q28,q27,p8,p5,p4)

is replaced by e_1578: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q44,q27,p8,p5,p4)


Step 2516: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2364 31-Oct-2003 21:06:26, 50 ms (0%), 1634708 occupied, 23365208 free
Eliminate 
q20

from e_1519 and e_1553. e_1553: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                      2
 (q38,q27,q20,p8,p5,p4 ,p4)

is replaced by e_1552: 

0=q27 + 2*q38


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 87 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms

Substitution of q38 by an expression in 
q27 found in e_1552 : 
        1
q38= - ---*q27
        2


Step 2518: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1655. e_1655: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2
 (q45,q23,q18,p8 ,p8,p5,p4)

is replaced by e_1524: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q45,q18,p8 ,p5,p4 ,p4)


Step 2519: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q45

from e_1651 and e_1524. e_1524: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q45,q18,p8 ,p5,p4 ,p4)

is replaced by e_1559: 

0=p8*q18*(p4 - p5)


e_1559 is a consequence of e_1534.
Step 2520: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1657. e_1657: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                    2      2
 (q67,q45,q26,q18,p8 ,p8,p4 ,p4)

is replaced by e_1557: 

0=q45 + q67


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 87 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms

Substitution of q67 by an expression in 
q45 found in e_1557 : 
q67= - q45


Step 2522: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 111 terms

The list of inequalities got extended by: 
An expression with 110 terms

Substitution of q52 by an expression in 
q48, q45, q26, q23, p8, p4 found in e_1563 : 15 factors in 5 terms

Step 2523: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2524: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2525: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2526: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2527: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2528: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2365 31-Oct-2003 21:06:28, 50 ms (0%), 1633695 occupied, 23366213 free
shortening by 1 term

Step 2529: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q45

from e_1543 and e_1564. e_1564: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

            3         3
 (q45,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1491: 

0=p8*q18*(p4 - p5)


e_1491 is a consequence of e_1534.
Step 2530: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1574. e_1574: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                    2
 (q48,q26,q23,q18,p8 ,p8,p4)

is replaced by e_737: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q48,q26,q18,p8 ,p8,p4)


Step 2531: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_737. e_737: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q48,q26,q18,p8 ,p8,p4)

is replaced by e_1508: 

0=p8*(p4*q48 - 2*p8*q18)


Step 2532: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q47

from e_1546 and e_1600. e_1600: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q47,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1606: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

            2         2
 (q27,q20,p8 ,p8,p5,p4 ,p4)


e_1606 is a consequence of e_1544.
Step 2533: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1372. e_1372: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q48,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1315: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

            2         2
 (q23,q18,p8 ,p8,p5,p4 ,p4)


Step 2534: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1315. e_1315: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

            2         2
 (q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1296: 

0=p8*q18*(p4 - p5)


e_1296 is a consequence of e_1534.
Step 2535: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1550. e_1550: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1305: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)


Step 2536: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1305. e_1305: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1515: 

0=p8*q18*(p4 - p5)


e_1515 is a consequence of e_1534.
Step 2537: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1596. e_1596: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                      2
 (q47,q27,q20,p8,p5,p4 ,p4)

is replaced by e_1302: 

0=p4*q47 + 6*p8*q20


Step 2538: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms
*** Garbage collection starting 
*** GC 2366 31-Oct-2003 21:06:30, 40 ms (0%), 1634575 occupied, 23365322 free

e_1549 is a consequence of e_1519.
Substitution of q47 by an expression in 
q20, p8, p4 found in e_1302 : 
      - 6*p8*q20
q47=-------------
         p4


Step 2539: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1568. e_1568: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

                  2
 (q27,q20,p8,p5,p4 ,p4)

is replaced by e_1688: 

0=q27*(p4 - p5)


Step 2540: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1538 is a consequence of e_1519.
Step 2541: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1569 is a consequence of e_1519.
Step 2542: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1691 is a consequence of e_1519.
Step 2543: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1692 is a consequence of e_1519.
Step 2544: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1635 is a consequence of e_1519.
Step 2545: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2546: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1696 is a consequence of e_1539.
Step 2547: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2548: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2549: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2550: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2551: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2552: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2553: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2554: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2555: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2556: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2557: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2558: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2559: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2560: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2561: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2562: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2563: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2564: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2565: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1641. e_1641: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q27,q20,p8 ,p8,p5,p4)

is replaced by e_1483: 

0=p8*q20*(p4 - p5)


e_1483 is a consequence of e_1519.
Step 2571: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1409. e_1409: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1484: 

0=p8*q20*(p4 - p5)


e_1484 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1694 and e_1539. e_1694: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q27,q20,p8,p5,p4)

is replaced by e_1570: 

0=q20*p8*(p4 - p5)


e_1570 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2367 31-Oct-2003 21:06:32, 50 ms (0%), 1671677 occupied, 23327949 free
Eliminate 
q27

from e_1546 and e_1609. e_1609: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q44,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1554: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q44,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1293. e_1293: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                      2
 (q36,q27,q20,p8,p5,p4 ,p4)

is replaced by e_1589: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

                  2
 (q36,q20,p8,p5,p4 ,p4)


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 : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms

e_1562 is a consequence of e_1519.
Substitution of q36 by an expression in 
q20, p8, p5, p4 found in e_1589 : 9 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1625. e_1625: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q44,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1552: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q44,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1552 and e_1554. e_1552: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q44,q20,p8 ,p5,p4 ,p4)

is replaced by e_1655: 

0=p8*q20*(p4 - p5)


e_1655 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2368 31-Oct-2003 21:06:34, 50 ms (0%), 1629927 occupied, 23369917 free
Eliminate 
q44

from e_1554 and e_1598. e_1598: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2
 (q44,q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1524: 
 2 terms, 6 factors, with derivatives of functions of all variables: 

            2
 (q28,q20,p8 ,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1431. e_1431: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2         3   2
 (q60,q23,q18,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1557: 
(#) 4 terms, 8 factors, with derivatives of functions of all variables: 

            2      3   2
 (q60,q18,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1557. e_1557: 
(#) 4 terms, 8 factors, with derivatives of functions of all variables: 

            2      3   2
 (q60,q18,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1486: 

0=q60*(p4 - p5)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1671. e_1671: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2   2      2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_1669: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1677. e_1677: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                   2      3   2
 (q54,q27,q20,p8,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1630: 
(#) 6 terms, 11 factors, with derivatives of functions of all variables: 

               2      3   2
 (q54,q20,p8,p5 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1630. e_1630: 
(#) 6 terms, 11 factors, with derivatives of functions of all variables: 

               2      3   2
 (q54,q20,p8,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1674: 

0=q54*(p4 - p5)


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 1 term

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 1 term

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 1 term

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 2 terms

Step 2594: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
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 1 term

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 1 term

Step 2600: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2601: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2369 31-Oct-2003 21:06:36, 40 ms (0%), 1641309 occupied, 23358309 free
Eliminate 
q27

from e_1539 and e_1564. e_1564: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2      2
 (q27,q20,p8,p5 ,p5,p4 ,p4)

is replaced by e_1513: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2      2
 (q20,p8,p5 ,p5,p4 ,p4)


e_1513 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1509. e_1509: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2      3   2
 (q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1514: 
(#) 6 terms, 10 factors, with derivatives of functions of all variables: 

           3   2      3   2
 (q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)


e_1514 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1574. e_1574: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2      2
 (q54,q27,q20,p8,p5 ,p5,p4 ,p4)

is replaced by e_1305: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2      2
 (q54,q20,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1491. e_1491: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2      2
 (q54,q27,q20,p8,p5 ,p5,p4 ,p4)

is replaced by e_1515: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2      2
 (q54,q20,p8,p5 ,p5,p4 ,p4)


Step 2605: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1515 and e_1305. e_1515: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2      2
 (q54,q20,p8,p5 ,p5,p4 ,p4)

is replaced by e_1596: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2      2
 (q20,p8,p5 ,p5,p4 ,p4)


e_1596 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1300. e_1300: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                   3   2      3   2
 (q54,q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1549: 

0=p5*(q27 + q54)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1549 and e_1507. e_1507: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                   3   2      3   2
 (q54,q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1556: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2      3   2
 (q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1556. e_1556: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2      3   2
 (q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1545: 
(#) 6 terms, 10 factors, with derivatives of functions of all variables: 

           3   2      3   2
 (q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)


e_1545 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1549 and e_1456. e_1456: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                   3   2      3   2
 (q54,q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 )

is replaced by e_1548: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2      3   2
 (q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1539 and e_1548. e_1548: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2      3   2
 (q27,q20,p8,p5 ,p5 ,p5,p4 ,p4 )

is replaced by e_1652: 
(#) 6 terms, 10 factors, with derivatives of functions of all variables: 

           3   2      3   2
 (q20,p8,p5 ,p5 ,p5,p4 ,p4 ,p4)


e_1652 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1551 and e_1522. e_1522: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                      2
 (q40,q27,q20,p8,p5,p4 ,p4)

is replaced by e_1590: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

               2   3   2
 (q40,q20,p8,p5 ,p4 ,p4 )


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2370 31-Oct-2003 21:06:38, 50 ms (0%), 1647916 occupied, 23351736 free
Eliminate 
q44

from e_1640 and e_1642. e_1642: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q65,q51,q44,q28,p8,p5,p4)

is replaced by e_1591: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q65,q51,q28,p8,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1622. e_1622: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                        2      2
 (q48,q45,q39,q26,q18,p8 ,p8,p4 ,p4)

is replaced by e_1530: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                    2      2
 (q45,q39,q26,q18,p8 ,p8,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1530. e_1530: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                    2      2
 (q45,q39,q26,q18,p8 ,p8,p4 ,p4)

is replaced by e_1532: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

                2      2
 (q45,q39,q18,p8 ,p8,p4 ,p4)


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 : 
The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 113 terms

The list of inequalities got extended by: 
An expression with 112 terms

e_1543 is a consequence of e_1572.
Substitution of q45 by an expression in 
q39, q18, p8, p4 found in e_1532 : 11 factors in 3 terms

Step 2616: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1651. e_1651: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)

is replaced by e_1540: 

0=p8*q18*(p4 - p5)


e_1540 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1621. e_1621: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                    2
 (q48,q26,q23,q18,p8 ,p8,p4)

is replaced by e_1537: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q26,q23,q18,p8 ,p8,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1537. e_1537: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q26,q23,q18,p8 ,p8,p4)

is replaced by e_1658: 

0=p8*(p4*q26 - 2*p8*q18)


e_1658 is a consequence of e_1555.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1310. e_1310: 
(#) 4 terms, 17 factors, with derivatives of functions of all variables: 

                3   2         3   2
 (q60,q39,q18,p8 ,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1571: 
(#) 3 terms, 13 factors, with derivatives of functions of all variables: 

            3         3
 (q60,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2371 31-Oct-2003 21:06:40, 50 ms (0%), 1652273 occupied, 23347344 free
Eliminate 
q48

from e_1508 and e_1629. e_1629: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                        2      2
 (q60,q48,q39,q26,q18,p8 ,p8,p4 ,p4)

is replaced by e_1624: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                    2      2
 (q60,q39,q26,q18,p8 ,p8,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1624. e_1624: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                    2      2
 (q60,q39,q26,q18,p8 ,p8,p4 ,p4)

is replaced by e_1626: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

                2      2
 (q60,q39,q18,p8 ,p8,p4 ,p4)


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 : 
The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 113 terms

Substitution of q60 by an expression in 
q39, q18, p8, p4 found in e_1626 : 11 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1571. e_1571: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1707: 

0=p8*q18*(p4 - p5)


e_1707 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1660. e_1660: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1631: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1631. e_1631: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)

is replaced by e_1639: 

0=p8*q18*(p4 - p5)


e_1639 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1623. e_1623: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1648: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1648. e_1648: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)

is replaced by e_1666: 

0=p8*q18*(p4 - p5)


e_1666 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1664. e_1664: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                    2         2
 (q48,q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1306: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1306. e_1306: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1667: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1667. e_1667: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1661: 

0=p8*q18*(p4 - p5)


e_1661 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2372 31-Oct-2003 21:06:41, 50 ms (0%), 1653598 occupied, 23346014 free
Eliminate 
q48

from e_1588 and e_1533. e_1588: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

                        2
 (q48,q39,q26,q23,q18,p8 ,p8,p4)

is replaced by e_1650: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q26,q18,p8 ,p8,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1555 and e_1650. e_1650: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q26,q18,p8 ,p8,p4)

is replaced by e_1641: 

0=p8*(p4*q39 - 2*p8*q18)


e_1641 is a consequence of e_1572.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1627. e_1627: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                    2         2
 (q46,q28,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1483: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                2      2
 (q46,q28,q20,p8 ,p5,p4 ,p4)


Step 2634: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1636. e_1636: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                    2         2
 (q46,q28,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1409: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                2      2
 (q46,q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1608. e_1608: 
(#) 6 terms, 19 factors, with derivatives of functions of all variables: 

                    2         2
 (q48,q39,q26,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1484: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q48,q26,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1484. e_1484: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q48,q26,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1694: 

0=(q26 - q48)*p8


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 1 term

Step 2639: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2640: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2641: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2642: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2643: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2644: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1552. e_1552: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                    2
 (q48,q39,q23,q18,p8 ,p8,p4)

is replaced by e_1535: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q23,q18,p8 ,p8,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1535. e_1535: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q23,q18,p8 ,p8,p4)

is replaced by e_1364: 

0=p8*(p4*q39 - 2*p8*q18)


e_1364 is a consequence of e_1572.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1293. e_1293: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                    2
 (q48,q39,q23,q18,p8 ,p8,p4)

is replaced by e_737: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q23,q18,p8 ,p8,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_737. e_737: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                2
 (q39,q23,q18,p8 ,p8,p4)

is replaced by e_1565: 

0=p8*(p4*q39 - 2*p8*q18)


e_1565 is a consequence of e_1572.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2373 31-Oct-2003 21:06:43, 50 ms (0%), 1652159 occupied, 23347493 free
Eliminate 
q48

from e_1508 and e_1675. e_1675: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                    2         2
 (q48,q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1397: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1397. e_1397: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1553: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1553. e_1553: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2
 (q39,q18,p8 ,p8,p5,p4)

is replaced by e_1513: 

0=p8*q18*(p4 - p5)


e_1513 is a consequence of e_1534.
Step 2655: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1673. e_1673: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                    2         2
 (q48,q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1509: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1509. e_1509: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1514: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1514. e_1514: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1515: 

0=p8*q18*(p4 - p5)


e_1515 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1508 and e_1679. e_1679: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                    2         2
 (q48,q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1596: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_1558 and e_1596. e_1596: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

                2         2
 (q39,q23,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1300: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)


Step 2660: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_1572 and e_1300. e_1300: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q39,q18,p8 ,p8,p5,p4 ,p4)

is replaced by e_1507: 

0=p8*q18*(p4 - p5)


e_1507 is a consequence of e_1534.
Step 2661: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1659. e_1659: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                    2         2
 (q65,q51,q27,q20,p8 ,p8,p5,p4 ,p4)

is replaced by e_1556: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      2
 (q65,q51,q20,p8 ,p5,p4 ,p4)


Step 2662: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1597. e_1597: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                    2         3   2
 (q44,q28,q27,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1545: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      3
 (q44,q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1545 and e_1617. e_1617: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q69,q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1456: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      3   2
 (q69,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q69

from e_1456 and e_1614. e_1456: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      3   2
 (q69,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1548: 

0=p8*q20*(p4 - p5)


e_1548 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1644 and e_1645. e_1645: 
(#) 4 terms, 5 factors, with derivatives of functions of all variables: 

 (q69,q61,q44,q28,p8)

is replaced by e_1652: 

0=(q46 - q69)*p8


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2374 31-Oct-2003 21:06:45, 50 ms (0%), 1632243 occupied, 23367405 free
*** Garbage collection starting 
*** GC 2375 31-Oct-2003 21:06:47, 50 ms (0%), 1619796 occupied, 23380113 free
Eliminate 
q20

from e_1519 and e_1633. e_1633: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q69,q54,q46,q27,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1599: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q69,q54,q46,q27,p8,p4)


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 : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 116 terms

The list of inequalities got extended by: 
An expression with 115 terms

Substitution of q69 by an expression in 
q54, q46, q27, p8, p4 found in e_1599 : 10 factors in 4 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 2 terms

e_1566 is a consequence of e_1525.
Step 2669: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2670: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

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 2 terms

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 2 terms

Step 2676: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2677: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2678: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

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 2 terms

Step 2681: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

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 2 terms

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 2 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 2 terms

Step 2688: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2689: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1409 and e_1593. e_1593: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1537: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1537. e_1537: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1658: 

0=p8*q20*(p4 - p5)


e_1658 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1483 and e_1621. e_1621: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1310: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2      2
 (q20,p8,p5 ,p5,p4 ,p4)


e_1310 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1576. e_1576: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q51,q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1629: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q51,q46,q28,p5,p4)

e_1567 is a consequence of e_1629

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 : 
The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 119 terms

The list of inequalities got extended by: 
An expression with 118 terms

Substitution of q51 by an expression in 
q46, q28, p5, p4 found in e_1629 : 13 factors in 5 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1525 and e_702. e_702: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q46,q28,p8,p5,p4)

is replaced by e_1701: 

0=q28*p8*(p4 - p5)


e_1701 is a consequence of e_1697.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1525 and e_1591. e_1591: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q65,q46,q28,p8,p5,p4)

is replaced by e_1702: 

0=p8*(p4*q65 - 3*p5*q28)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2376 31-Oct-2003 21:06:49, 50 ms (0%), 1626947 occupied, 23372767 free
Eliminate 
q28

from e_1603 and e_1683. e_1683: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      2      2
 (q46,q28,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1705: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      2      2
 (q46,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1705. e_1705: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      2      2
 (q46,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1706: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1706 and e_1669. e_1706: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_1571: 

0=p8*q20*(p4 - p5)


e_1571 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1605. e_1605: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q65,q61,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1707: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q65,q61,q28,p5,p4)


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 : 
The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 122 terms

The list of inequalities got extended by: 
An expression with 121 terms

Substitution of q65 by an expression in 
q61, q28, p5, p4 found in e_1707 : 13 factors in 5 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1697 and e_1326. e_1326: 
(#) 6 terms, 13 factors, with derivatives of functions of all variables: 

 (q61,q46,q44,q28,p8,p5,p4)

is replaced by e_1632: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q61,q46,q44,p8,p5,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1556. e_1556: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                    2   2      2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_1665: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2   2      2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1669 and e_1665. e_1665: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2   2      2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_1573: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q61,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1554 and e_1569. e_1569: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q46,q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1648: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1409 and e_1648. e_1648: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 )

is replaced by e_1666: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1666. e_1666: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1664: 

0=p8*q20*(p4 - p5)


e_1664 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1409 and e_1592. e_1592: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q46,q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1306: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1545 and e_1306. e_1306: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1684: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1684. e_1684: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1678: 

0=p8*q20*(p4 - p5)


e_1678 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2377 31-Oct-2003 21:06:51, 50 ms (0%), 1631743 occupied, 23367860 free
Eliminate 
q44

from e_1554 and e_1651. e_1651: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q44,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1667: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q61,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1638 and e_1667. e_1667: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q61,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1661: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

            2   2      3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1661. e_1661: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

            2   2      3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1588: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2      2
 (q20,p8,p5 ,p5,p4 ,p4)


e_1588 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1554 and e_1544. e_1544: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q46,q44,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1681: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1409 and e_1681. e_1681: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1672: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

            2   2      3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4)


Step 2715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1672. e_1672: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

            2   2      3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4)

is replaced by e_1685: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2      2
 (q20,p8,p5 ,p5,p4 ,p4)


e_1685 is a consequence of e_1519.
Step 2716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1649 and e_1568. e_1649: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2         3   2
 (q54,q46,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1650: 
(#) 6 terms, 11 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)


Step 2717: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q48

from e_1013 and e_1547. e_1013: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q48,q39,q26,q23,q18,p8,p5,p4)

is replaced by e_1608: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q39,q26,q23,q18,p8,p5,p4)


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 : 
The list of inequalities got extended by: 
An expression with 110 terms

The list of inequalities got extended by: 
An expression with 113 terms

The list of inequalities got extended by: 
An expression with 138 terms

The list of inequalities got extended by: 
An expression with 137 terms

Substitution of q39 by an expression in 
q26, q23, q18, p8, p5, p4 found in e_1608 : 15 factors in 5 terms

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 : 
The list of inequalities got extended by: 
An expression with 110 terms

The list of inequalities got extended by: 
An expression with 115 terms

The list of inequalities got extended by: 
An expression with 138 terms

The list of inequalities got extended by: 
An expression with 137 terms

Substitution of q48 by an expression in 
q26, q23, p5, p4 found in e_1531 : 13 factors in 4 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1508. e_1508: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                2
 (q26,q23,q18,p8 ,p8,p5,p4)

is replaced by e_1557: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

            2
 (q23,q18,p8 ,p8,p5,p4)


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 : 
*** Garbage collection starting 
*** GC 2378 31-Oct-2003 21:06:52, 40 ms (0%), 1615299 occupied, 23384609 free
 --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1572 and e_1699. e_1699: 
(#) 8 terms, 11 factors, with derivatives of functions of all variables: 

                2      2      2
 (q26,q23,q18,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1371: 

0=p8*q18*(p4 - p5)


e_1371 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1572 and e_1486. e_1486: 
(#) 8 terms, 11 factors, with derivatives of functions of all variables: 

                2      2      2
 (q26,q23,q18,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1561: 

0=p8*q18*(p4 - p5)


e_1561 is a consequence of e_1534.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1601. e_1601: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1671: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1595. e_1595: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1677: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1580. e_1580: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1373: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1581. e_1581: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1528: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


e_1528 is a consequence of e_1677.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1563. e_1563: 
(#) 7 terms, 22 factors, with derivatives of functions of all variables: 

                2      2      2
 (q26,q23,q18,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1662: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

            2      2      2
 (q23,q18,p8 ,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1602. e_1602: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1654: 
(#) 6 terms, 8 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1654. e_1654: 
(#) 6 terms, 8 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1552: 

0=q23*(p4 - p5)*(p4 + p5)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_1610 and e_1611. e_1611: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                   2      2
 (q26,q23,q18,p8,p5 ,p5,p4 ,p4)

is replaced by e_1536: 
(#) 6 terms, 8 factors, with derivatives of functions of all variables: 

               2      2
 (q23,q18,p8,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2379 31-Oct-2003 21:06:54, 50 ms (0%), 1627425 occupied, 23372234 free
*** Garbage collection starting 
*** GC 2380 31-Oct-2003 21:06:56, 40 ms (0%), 1617487 occupied, 23382398 free
Eliminate 
q27

from e_1546 and e_1628. e_1628: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q61,q46,q44,q27,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1364: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q44,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1689 and e_1364. e_1364: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q44,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1293: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2
 (q46,q44,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1603 and e_1575. e_1575: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                        2      2      2
 (q61,q46,q28,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1389: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                    2      2      2
 (q61,q46,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)


Step 2734: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2735: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_1546 and e_1307. e_1307: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      2      2
 (q61,q46,q27,q20,p8 ,p8,p5 ,p5,p4 ,p4)

is replaced by e_1587: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2   2      2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1573 and e_1587. e_1587: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2   2      2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_737: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_737 and e_1669. e_737: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2   2      2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4)

is replaced by e_1565: 

0=p8*q20*(p4 - p5)


e_1565 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1650 and e_1615. e_1615: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q54,q46,q44,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1675: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                    2         3   2
 (q54,q44,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1545 and e_1675. e_1675: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                    2         3   2
 (q54,q44,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1397: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q54,q20,p8 ,p8,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1568. e_1568: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2         3   2
 (q54,q46,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1553: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1604. e_1604: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q61,q54,q44,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1513: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1545 and e_1513. e_1513: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q44,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1673: 
(#) 6 terms, 11 factors, with derivatives of functions of all variables: 

                2      3   2
 (q61,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1687. e_1687: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q61,q54,q46,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1514: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1686. e_1686: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                        2         3   2
 (q61,q54,q46,q28,q20,p8 ,p8,p5,p4 ,p4 ,p4)

is replaced by e_1515: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1542. e_1542: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                        2      2      4   3   2
 (q61,q54,q46,q28,q20,p8 ,p8,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1679: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1515 and e_1679. e_1679: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1596: 
(#) 8 terms, 18 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1293 and e_1409. e_1293: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2
 (q46,q44,q20,p8 ,p5,p4 ,p4)

is replaced by e_1302: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2
 (q44,q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_1302 and e_1545. e_1545: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2      3
 (q44,q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1503: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1524 and e_1503. e_1503: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1300: 

0=p8*q20*(p4 - p5)


e_1300 is a consequence of e_1519.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q54

from e_1397 and e_1698. e_1698: 
 11 terms, 55 factors, with derivatives of functions of all variables: 

                            2      2      4   3   2
 (q61,q54,q46,q40,q28,q20,p8 ,p8,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1507: 
 10 terms, 50 factors, with derivatives of functions of all variables: 

                        2      2      4   3   2
 (q61,q46,q40,q28,q20,p8 ,p8,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_1590 and e_1507. e_1507: 
 10 terms, 50 factors, with derivatives of functions of all variables: 

                        2      2      4   3   2
 (q61,q46,q40,q28,q20,p8 ,p8,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1659: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2381 31-Oct-2003 21:06:59, 50 ms (0%), 1622164 occupied, 23377729 free
Eliminate 
q61

from e_1515 and e_1659. e_1659: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1597: 
(#) 12 terms, 26 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1650 and e_1597. e_1597: 
(#) 12 terms, 26 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1617: 
(#) 6 terms, 14 factors, with derivatives of functions of all variables: 

            2   2      4   3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1617. e_1617: 
(#) 6 terms, 14 factors, with derivatives of functions of all variables: 

            2   2      4   3   2
 (q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1456: 

0=q28*(p4 - p5)

e_1697 is a consequence of e_1456

Step 2755: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2756: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1483. e_1483: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                2      2
 (q46,q28,q20,p8 ,p5,p4 ,p4)

is replaced by e_1633: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2      2
 (q46,q20,p8 ,p5,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1553. e_1553: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                2      3   2
 (q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1560: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            2      3   2
 (q46,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1691. e_1691: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1622: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

            2   2      4   3   2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1515. e_1515: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1530: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q61,q46,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1514. e_1514: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                    2      3   2
 (q61,q46,q28,q20,p8 ,p5,p4 ,p4 ,p4)

is replaced by e_1543: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                2      3   2
 (q61,q46,q20,p8 ,p5,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_1456 and e_1695. e_1695: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2   2      4   3   2
 (q61,q46,q28,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1532: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1530 and e_1532. e_1532: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                2   2      4   3   2
 (q61,q46,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1693: 
(#) 8 terms, 18 factors, with derivatives of functions of all variables: 

            2   2      4   3   2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1519 and e_1693. e_1693: 
(#) 8 terms, 18 factors, with derivatives of functions of all variables: 

            2   2      4   3   2
 (q46,q20,p8 ,p5 ,p5,p4 ,p4 ,p4 ,p4)

is replaced by e_1566: 

0=q46*(p4 - p5)*(8*p4 - p5)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q61

from e_1645 and e_1632. e_1632: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q61,q46,q44,p8,p5,p4)

is replaced by e_1541: 
(#) 3 terms, 5 factors, with derivatives of functions of all variables: 

 (q46,q44,q28,p8,p5)


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1456 we get the alternative equations : 
0=p4 - p5


0=q28


New level : 1.1.1.2.1.1.1.
The list of inequalities got extended by: 

p5


CRACK is now called with the new equation e_1745 : 
0=p4 - p5

e_1596,e_1689,e_1650,e_1673,e_4,e_1536,e_1520,e_1512,e_1552,e_1566,e_1534,e_1519
,e_1688,e_1674 are consequences of e_1745

Step 2766: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

1


The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 

g0317*p8 + g0320*p5 + g0321*p5


The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 89 terms
*** Garbage collection starting 
*** GC 2382 31-Oct-2003 21:07:01, 50 ms (0%), 1654029 occupied, 23345843 free

The list of inequalities got extended by: 
An expression with 88 terms
e_1660 is a consequence of e_1639

e_1665 is a consequence of e_1634.
e_1569 is a consequence of e_1707.
e_1664 is a consequence of e_1639.e_1634 is a consequence of e_1678

e_1651 is a consequence of e_1678.
e_1667 is a consequence of e_1678.
e_1544 is a consequence of e_1678.
e_1681 is a consequence of e_1678.
e_1672 is a consequence of e_1631.
e_1685 is a consequence of e_1648.e_1592 is a consequence of e_1641

e_1627 is a consequence of e_1648.
e_1636 is a consequence of e_1639.
e_1013 is a consequence of e_1707.
e_1608 is a consequence of e_1707.
e_1484 is a consequence of e_1531.
e_1570 is a consequence of e_1678.
e_1589 is a consequence of e_1631.
e_1682 is a consequence of e_1648.
Substitution of p4 by an expression in 
p5 found in e_1745 : 
p4=p5


Step 2767: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 77 terms

e_1326 is a consequence of e_1678.
e_1609 is a consequence of e_1678.
e_1559 is a consequence of e_1678.
e_1598 is a consequence of e_1678.
e_1655 is a consequence of e_1678.
e_1533 is a consequence of e_1678.
e_1625 is a consequence of e_1678.
e_1562 is a consequence of e_1678.
e_1594 is a consequence of e_1678.
e_1666 is a consequence of e_1678.
Substitution of q26 by an expression in 
q23 found in e_1707 : 
q26=2*q23


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 : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

e_1641 is a consequence of e_1639.
Substitution of q54 by an expression in 
q27 found in e_1549 : 
q54= - q27


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 : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

e_1556 is a consequence of e_1649.
e_1485 is a consequence of e_1648.
e_1508 is a consequence of e_1588.
e_1521 is a consequence of e_1639.
e_1684 is a consequence of e_1588.
Substitution of q28 by an expression in 
q20, p8, p5 found in e_1631 : 
         18    2
      - ----*p8 *q20
         5
q28=-----------------
             2
           p5


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 : 
The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

e_1699 is a consequence of e_1306.
e_1531 is a consequence of e_1649.
e_1541 is a consequence of e_1588.
Substitution of q46 by an expression in 
q20, p8, p5 found in e_1648 : 
         36    2
      - ----*p8 *q20
         5
q46=-----------------
             2
           p5


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 : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1623 is a consequence of e_1639.
e_1306 is a consequence of e_1639.
e_1670 is a consequence of e_1649.
Substitution of q44 by an expression in 
q20, p8, p5 found in e_1588 : 
         18    2
      - ----*p8 *q20
         5
q44=-----------------
             2
           p5


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 : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q61 by an expression in 
q20, p8, p5 found in e_1649 : 
         54    2
      - ----*p8 *q20
         5
q61=-----------------
             2
           p5


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 : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 57 terms
*** Garbage collection starting 
*** GC 2383 31-Oct-2003 21:07:02, 40 ms (0%), 1621899 occupied, 23377980 free

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 69 terms

Substitution of q27 by an expression in 
q20, p8, p5 found in e_1639 : 
      - 6*p8*q20
q27=-------------
         p5


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 : 
The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 58 terms

Substitution of q23 by an expression in 
q18, p8, p5 found in e_1678 : 
     p8*q18
q23=--------
       p5


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 : 

>>>>>>>>> Solution of level 1.1.1.2.1.1.1. : 
no equations


Non-vanishing expressions: p5,p4

g0317*p8 + g0320*p5 + g0321*p5

230 factors in 48 terms
233 factors in 49 terms
280 factors in 58 terms
258 factors in 58 terms

functions : 
         54    3
      - ----*p8 *q20
         35
q83=-----------------
             3
           p5


         18    3
      - ----*p8 *q18
         35
q82=-----------------
             3
           p5


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


         18    2
      - ----*p8 *q20
         5
q74=-----------------
             2
           p5


         6    2
      - ---*p8 *q18
         5
q73=----------------
            2
          p5


      6    2
     ---*p8 *q18
      5
q72=-------------
           2
         p5


         18    2
      - ----*p8 *q20
         5
q71=-----------------
             2
           p5


         12    2
      - ----*p8 *q18
         5
q70=-----------------
             2
           p5


         36    2
      - ----*p8 *q20
         5
q69=-----------------
             2
           p5


         36    2
      - ----*p8 *q20
         5
q68=-----------------
             2
           p5


      12    2
     ----*p8 *q18
      5
q67=--------------
           2
         p5


      18    2
     ----*p8 *q18
      5
q66=--------------
           2
         p5


         54    2
      - ----*p8 *q20
         5
q65=-----------------
             2
           p5


     3*p8*q20
q64=----------
        p5


     2*p8*q18
q63=----------
        p5


      - 3*p8*q20
q62=-------------
         p5


         54    2
      - ----*p8 *q20
         5
q61=-----------------
             2
           p5


         18    2
      - ----*p8 *q18
         5
q60=-----------------
             2
           p5


     p8*q18
q59=--------
       p5


      - 6*p8*q20
q58=-------------
         p5


      - p8*q18
q57=-----------
        p5


     2*p8*q18
q56=----------
        p5


      - 6*p8*q20
q55=-------------
         p5


     6*p8*q20
q54=----------
        p5


     2*p8*q18
q53=----------
        p5


      12    2
     ----*p8 *q18
      5
q52=--------------
           2
         p5


         36    2
      - ----*p8 *q20
         5
q51=-----------------
             2
           p5


      - 6*p8*q20
q50=-------------
         p5


      - 2*p8*q18
q49=-------------
         p5


     2*p8*q18
q48=----------
        p5


      - 6*p8*q20
q47=-------------
         p5


         36    2
      - ----*p8 *q20
         5
q46=-----------------
             2
           p5


         12    2
      - ----*p8 *q18
         5
q45=-----------------
             2
           p5


         18    2
      - ----*p8 *q20
         5
q44=-----------------
             2
           p5


      6    2
     ---*p8 *q18
      5
q43=-------------
           2
         p5


     2*p8*q18
q42=----------
        p5


     6*p8*q20
q41=----------
        p5


      - 6*p8*q20
q40=-------------
         p5


     2*p8*q18
q39=----------
        p5


     3*p8*q20
q38=----------
        p5


     2*p8*q18
q37=----------
        p5


      - 3*p8*q20
q36=-------------
         p5


        1
q35= - ---*q18
        3


q34=q18


q33=3*q20


q32= - q20


q31=0


q30=0


         6    2
      - ---*p8 *q18
         5
q29=----------------
            2
          p5


         18    2
      - ----*p8 *q20
         5
q28=-----------------
             2
           p5


      - 6*p8*q20
q27=-------------
         p5


     2*p8*q18
q26=----------
        p5


      - 2*p8*q18
q25=-------------
         p5


      - 6*p8*q20
q24=-------------
         p5


     p8*q18
q23=--------
       p5


      - 6*p8*q20
q22=-------------
         p5


      - p8*q18
q21=-----------
        p5

q20, 
q19= - 3*q20

q18, 
        1
q17= - ---*q18
        3


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0

p8, 
p7=0


p6=0

p5, 
p4=p5


p3=0


p2=0


p1=0


with 148 terms
no equations
4 constants : p5,p8,q18,q20
The equation: 

f =D f*f *p5 + D D f*D f*p5 + f  *p8
 t  2   x       1 2   1        3x
The symmetry: 
        6                   2        18                2
f =( - ---*D f  *D D f*p5*p8 *q18 - ----*D f  *f *p5*p8 *q20
 s      5   2 4x  1 2                5    2 4x  x

        12                    2        36                 2
     - ----*D f  *D D f *p5*p8 *q18 - ----*D f  *f  *p5*p8 *q20
        5    2 3x  1 2 x               5    2 3x  2x

                           2                           2
     - 2*D f  *D f*D D f*p5 *p8*q18 - 6*D f  *D f*f *p5 *p8*q20
          2 2x  2   1 2                  2 2x  2   x

        18                     2                           2
     - ----*D f  *D D f  *p5*p8 *q18 - 6*D f  *D D f*D f*p5 *p8*q20
        5    2 2x  1 2 2x                 2 2x  1 2   1

                        2           54                 2
     + 2*D f  *D f*f *p5 *p8*q18 - ----*D f  *f  *p5*p8 *q20
          2 2x  1   x               5    2 2x  3x

             2         2                  2      2
     - (D f ) *D D f*p5 *p8*q18 - 3*(D f ) *f *p5 *p8*q20
         2 x    1 2                   2 x    x

                           2                           2
     - 2*D f *D f*D D f *p5 *p8*q18 - 6*D f *D f*f  *p5 *p8*q20
          2 x  2   1 2 x                 2 x  2   2x

        12                    2                           2
     - ----*D f *D D f  *p5*p8 *q18 - 6*D f *D D f *D f*p5 *p8*q20
        5    2 x  1 2 3x                 2 x  1 2 x  1

                           2                           2
     - 6*D f *D D f*D f *p5 *p8*q20 + 2*D f *D f *f *p5 *p8*q18
          2 x  1 2   1 x                 2 x  1 x  x

                        2           36                2
     + 2*D f *D f*f  *p5 *p8*q18 - ----*D f *f  *p5*p8 *q20
          2 x  1   2x               5    2 x  4x

        1       3         3            3      3            2           2
     - ---*(D f) *D D f*p5 *q18 - (D f) *f *p5 *q20 - (D f) *D D f  *p5 *p8*q18
        3    2     1 2              2     x             2     1 2 2x

              2             3            2          3
     - 3*(D f) *D D f*D f*p5 *q20 + (D f) *D f*f *p5 *q18
           2     1 2   1              2     1   x

              2       2           6                   2
     - 3*(D f) *f  *p5 *p8*q20 - ---*D f*D D f  *p5*p8 *q18
           2     3x               5   2   1 2 4x

                           2                              2
     - 6*D f*D D f  *D f*p5 *p8*q20 - 6*D f*D D f *D f *p5 *p8*q20
          2   1 2 2x  1                  2   1 2 x  1 x

                           2                         2   3
     - 6*D f*D D f*D f  *p5 *p8*q20 + D f*D D f*(D f) *p5 *q18
          2   1 2   1 2x               2   1 2    1

                        2                           2
     + 2*D f*D f  *f *p5 *p8*q18 + 2*D f*D f *f  *p5 *p8*q18
          2   1 2x  x                 2   1 x  2x

                  2      3                       2
     + 3*D f*(D f) *f *p5 *q20 + 2*D f*D f*f  *p5 *p8*q18
          2    1     x              2   1   3x

        18               2        18            3
     - ----*D f*f  *p5*p8 *q20 - ----*D D f  *p8 *q18
        5    2   5x               35   1 2 6x

        18                   2        36                    2
     - ----*D D f  *D f*p5*p8 *q20 - ----*D D f  *D f *p5*p8 *q20
        5    1 2 4x  1                5    1 2 3x  1 x

        54                     2                    2   2
     - ----*D D f  *D f  *p5*p8 *q20 + D D f  *(D f) *p5 *p8*q18
        5    1 2 2x  1 2x               1 2 2x   1

        36                    2                           2
     - ----*D D f *D f  *p5*p8 *q20 + 2*D D f *D f *D f*p5 *p8*q18
        5    1 2 x  1 3x                 1 2 x  1 x  1

        18                   2                           2
     - ----*D D f*D f  *p5*p8 *q20 + 2*D D f*D f  *D f*p5 *p8*q18
        5    1 2   1 4x                 1 2   1 2x  1

                   2   2                     3   3        6                2
     + D D f*(D f ) *p5 *p8*q18 + D D f*(D f) *p5 *q20 + ---*D f  *f *p5*p8 *q18
        1 2    1 x                 1 2    1               5   1 4x  x

        12                 2                        2
     + ----*D f  *f  *p5*p8 *q18 + 6*D f  *D f*f *p5 *p8*q20
        5    1 3x  2x                 1 2x  1   x

        18                 2               2      2
     + ----*D f  *f  *p5*p8 *q18 + 3*(D f ) *f *p5 *p8*q20
        5    1 2x  3x                  1 x    x

                        2           12                2
     + 6*D f *D f*f  *p5 *p8*q20 + ----*D f *f  *p5*p8 *q18
          1 x  1   2x               5    1 x  4x

        1       3      3              2       2           6               2
     - ---*(D f) *f *p5 *q18 + 3*(D f) *f  *p5 *p8*q20 + ---*D f*f  *p5*p8 *q18
        3    1     x               1     3x               5   1   5x

        54        3        3
     - ----*f  *p8 *q20)/p5
        35   7x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,d(2,f(1)))*d(1,f(1))*p5 + df(f(1),x,3)*
p8$
The symmetry: 
df(f(1),s)=( - 6/5*d(2,df(f(1),x,4))*d(1,d(2,f(1)))*p5*p8**2*q18 - 18/5*d(2,df(f
(1),x,4))*df(f(1),x)*p5*p8**2*q20 - 12/5*d(2,df(f(1),x,3))*d(1,d(2,df(f(1),x)))*
p5*p8**2*q18 - 36/5*d(2,df(f(1),x,3))*df(f(1),x,2)*p5*p8**2*q20 - 2*d(2,df(f(1),
x,2))*d(2,f(1))*d(1,d(2,f(1)))*p5**2*p8*q18 - 6*d(2,df(f(1),x,2))*d(2,f(1))*df(f
(1),x)*p5**2*p8*q20 - 18/5*d(2,df(f(1),x,2))*d(1,d(2,df(f(1),x,2)))*p5*p8**2*q18
 - 6*d(2,df(f(1),x,2))*d(1,d(2,f(1)))*d(1,f(1))*p5**2*p8*q20 + 2*d(2,df(f(1),x,2
))*d(1,f(1))*df(f(1),x)*p5**2*p8*q18 - 54/5*d(2,df(f(1),x,2))*df(f(1),x,3)*p5*p8
**2*q20 - d(2,df(f(1),x))**2*d(1,d(2,f(1)))*p5**2*p8*q18 - 3*d(2,df(f(1),x))**2*
df(f(1),x)*p5**2*p8*q20 - 2*d(2,df(f(1),x))*d(2,f(1))*d(1,d(2,df(f(1),x)))*p5**2
*p8*q18 - 6*d(2,df(f(1),x))*d(2,f(1))*df(f(1),x,2)*p5**2*p8*q20 - 12/5*d(2,df(f(
1),x))*d(1,d(2,df(f(1),x,3)))*p5*p8**2*q18 - 6*d(2,df(f(1),x))*d(1,d(2,df(f(1),x
)))*d(1,f(1))*p5**2*p8*q20 - 6*d(2,df(f(1),x))*d(1,d(2,f(1)))*d(1,df(f(1),x))*p5
**2*p8*q20 + 2*d(2,df(f(1),x))*d(1,df(f(1),x))*df(f(1),x)*p5**2*p8*q18 + 2*d(2,
df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p5**2*p8*q18 - 36/5*d(2,df(f(1),x))*df(f(1),x
,4)*p5*p8**2*q20 - 1/3*d(2,f(1))**3*d(1,d(2,f(1)))*p5**3*q18 - d(2,f(1))**3*df(f
(1),x)*p5**3*q20 - d(2,f(1))**2*d(1,d(2,df(f(1),x,2)))*p5**2*p8*q18 - 3*d(2,f(1)
)**2*d(1,d(2,f(1)))*d(1,f(1))*p5**3*q20 + d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p5**
3*q18 - 3*d(2,f(1))**2*df(f(1),x,3)*p5**2*p8*q20 - 6/5*d(2,f(1))*d(1,d(2,df(f(1)
,x,4)))*p5*p8**2*q18 - 6*d(2,f(1))*d(1,d(2,df(f(1),x,2)))*d(1,f(1))*p5**2*p8*q20
 - 6*d(2,f(1))*d(1,d(2,df(f(1),x)))*d(1,df(f(1),x))*p5**2*p8*q20 - 6*d(2,f(1))*d
(1,d(2,f(1)))*d(1,df(f(1),x,2))*p5**2*p8*q20 + d(2,f(1))*d(1,d(2,f(1)))*d(1,f(1)
)**2*p5**3*q18 + 2*d(2,f(1))*d(1,df(f(1),x,2))*df(f(1),x)*p5**2*p8*q18 + 2*d(2,f
(1))*d(1,df(f(1),x))*df(f(1),x,2)*p5**2*p8*q18 + 3*d(2,f(1))*d(1,f(1))**2*df(f(1
),x)*p5**3*q20 + 2*d(2,f(1))*d(1,f(1))*df(f(1),x,3)*p5**2*p8*q18 - 18/5*d(2,f(1)
)*df(f(1),x,5)*p5*p8**2*q20 - 18/35*d(1,d(2,df(f(1),x,6)))*p8**3*q18 - 18/5*d(1,
d(2,df(f(1),x,4)))*d(1,f(1))*p5*p8**2*q20 - 36/5*d(1,d(2,df(f(1),x,3)))*d(1,df(f
(1),x))*p5*p8**2*q20 - 54/5*d(1,d(2,df(f(1),x,2)))*d(1,df(f(1),x,2))*p5*p8**2*
q20 + d(1,d(2,df(f(1),x,2)))*d(1,f(1))**2*p5**2*p8*q18 - 36/5*d(1,d(2,df(f(1),x)
))*d(1,df(f(1),x,3))*p5*p8**2*q20 + 2*d(1,d(2,df(f(1),x)))*d(1,df(f(1),x))*d(1,f
(1))*p5**2*p8*q18 - 18/5*d(1,d(2,f(1)))*d(1,df(f(1),x,4))*p5*p8**2*q20 + 2*d(1,d
(2,f(1)))*d(1,df(f(1),x,2))*d(1,f(1))*p5**2*p8*q18 + d(1,d(2,f(1)))*d(1,df(f(1),
x))**2*p5**2*p8*q18 + d(1,d(2,f(1)))*d(1,f(1))**3*p5**3*q20 + 6/5*d(1,df(f(1),x,
4))*df(f(1),x)*p5*p8**2*q18 + 12/5*d(1,df(f(1),x,3))*df(f(1),x,2)*p5*p8**2*q18 +
 6*d(1,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p5**2*p8*q20 + 18/5*d(1,df(f(1),x,2))*
df(f(1),x,3)*p5*p8**2*q18 + 3*d(1,df(f(1),x))**2*df(f(1),x)*p5**2*p8*q20 + 6*d(1
,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p5**2*p8*q20 + 12/5*d(1,df(f(1),x))*df(f(1),
x,4)*p5*p8**2*q18 - 1/3*d(1,f(1))**3*df(f(1),x)*p5**3*q18 + 3*d(1,f(1))**2*df(f(
1),x,3)*p5**2*p8*q20 + 6/5*d(1,f(1))*df(f(1),x,5)*p5*p8**2*q18 - 54/35*df(f(1),x
,7)*p8**3*q20)/p5**3$

Back to level : 1.1.1.2.1.1.
Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p4 - p5


New level : 1.1.1.2.1.1.2.
CRACK is now called with the new equation e_1745 : 
0=q28


Step 2776: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 129 terms

The list of inequalities got extended by: 
An expression with 129 terms

e_1634 is a consequence of e_1688.
e_1639 is a consequence of e_1519.
Substitution of q28 found in e_1745 : 
q28=0


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 : 
The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 119 terms

The list of inequalities got extended by: 
An expression with 119 terms

e_1652 is a consequence of e_1674.
e_1549 is a consequence of e_1674.
e_1546 is a consequence of e_1519.
e_1586 is a consequence of e_1519.
e_1539 is a consequence of e_1519.
e_1551 is a consequence of e_1519.
Substitution of q27 found in e_1688 : 
q27=0


Step 2778: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 114 terms

e_1397 is a consequence of e_1519.
e_1305 is a consequence of e_1519.
Substitution of q54 found in e_1674 : 
q54=0


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 : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 94 terms
*** Garbage collection starting 
*** GC 2384 31-Oct-2003 21:07:03, 20 ms (0%), 1285844 occupied, 23714106 free

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 114 terms

e_1623 is a consequence of e_1519.
e_1592 is a consequence of e_1519.
e_1570 is a consequence of e_1519.
Substitution of q61 by an expression in 
q20, p8, p4 found in e_1665 : 
             2
      - 18*p8 *q20
q61=---------------
            2
          p4


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 : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 114 terms

e_1707 is a consequence of e_1519.
e_1589 is a consequence of e_1519.
e_1484 is a consequence of e_1519.
e_1666 is a consequence of e_1519.
e_1682 is a consequence of e_1519.
e_1609 is a consequence of e_1519.
e_1664 is a consequence of e_1519.
e_1594 is a consequence of e_1519.
e_1625 is a consequence of e_1519.
e_1533 is a consequence of e_1519.
e_1655 is a consequence of e_1519.
Substitution of q46 by an expression in 
q20, p8, p4 found in e_1569 : 
            2
      - 9*p8 *q20
q46=--------------
           2
         p4


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 : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 114 terms

e_1660 is a consequence of e_1519.
e_1598 is a consequence of e_1519.
e_1559 is a consequence of e_1519.
e_1631 is a consequence of e_1519.
e_1326 is a consequence of e_1519.
e_1562 is a consequence of e_1519.
e_1657 is a consequence of e_1519.
Substitution of q44 by an expression in 
q20, p8, p4 found in e_1648 : 
         63    2
      - ----*p8 *q20
         5
q44=-----------------
             2
           p4


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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1558. e_1558: 

0=p8*(p4*q23 - p8*q18)

is replaced by e_1699: 

0=p8*q23


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 2 terms

e_1486 is a consequence of e_1534.
Step 2784: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2785: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1595 is a consequence of e_1534.
Step 2786: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 3 terms

e_1563 is a consequence of e_1534.
Step 2788: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

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 3 terms

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 3 terms

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 3 terms

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 3 terms

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 3 terms

Step 2794: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 1 term

Step 2796: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2797: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2798: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2799: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2800: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2801: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_1534 and e_1580. e_1580: 

0=p8*(3*p5*q26 - p8*q18)

is replaced by e_1509: 

0=p5*p8*q26


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

e_1491 is a consequence of e_1534.
Step 2803: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2804: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2805: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms

Step 2807: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 133 terms

The list of inequalities got extended by: 
An expression with 134 terms

The list of inequalities got extended by: 
An expression with 159 terms

The list of inequalities got extended by: 
An expression with 159 terms

e_1509 is a consequence of e_1699.
e_1561 is a consequence of e_1699.
Substitution of q26 by an expression in 
q23, p5, p4 found in e_1617 : 7 factors in 2 terms

Step 2809: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1514 is a consequence of e_1534.
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 2 terms

e_1695 is a consequence of e_1534.
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 2 terms

e_1532 is a consequence of e_1534.
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 2 terms

e_1693 is a consequence of e_1534.
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_1616 is a consequence of e_1534.
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 2 terms

e_1632 is a consequence of e_1534.
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 2 terms

e_1637 is a consequence of e_1534.
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 2 terms

Step 2817: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Step 2818: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1643 is a consequence of e_1552.
Step 2819: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2820: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 0 terms

e_1647 is a consequence of e_1552.
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 2 terms

e_1606 is a consequence of e_1552.
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 : 
*** Garbage collection starting 
*** GC 2385 31-Oct-2003 21:07:05, 30 ms (0%), 1238728 occupied, 23761223 free
shortening by 0 terms

e_1613 is a consequence of e_1552.
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 0 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 2 terms

Step 2826: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 1 term

Step 2828: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_1646,e_1702,e_1552,e_1579,e_1577,e_1699,e_1600 are consequences of e_1540

Step 2829: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 53 terms

Substitution of q23 found in e_1540 : 
q23=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1534 we get the alternative equations : 
0=p8


0=q18


New level : 1.1.1.2.1.1.2.1.
CRACK is now called with the new equation e_1621 : 
0=p8

e_1519 is a consequence of e_1621

Step 2831: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0320*p5 + g0321*p4


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 14 terms

The list of inequalities got extended by: 
An expression with 12 terms

Substitution of p8 found in e_1621 : 
p8=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1512 we get the alternative equations : 
0=p4 + p5


0=q18


New level : 1.1.1.2.1.1.2.1.1.
The list of inequalities got extended by: 

p5


CRACK is now called with the new equation e_1310 : 
0=p4 + p5


Step 2833: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 

p5


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 6 terms

Substitution of p5 by an expression in 
p4 found in e_1310 : 
p5= - p4



>>>>>>>>> Solution of level 1.1.1.2.1.1.2.1.1. : 
no equations


Non-vanishing expressions: p5,p4

g0112*q18 - 3*g0114*q20 - 3*g0126*q20 + 3*g0127*q20 - 3*g0128*q18 - 3*g0144*p4


3*g0041*q20 + g0042*q20 + 3*g0054*q20 - 3*g0055*q20 + 3*g0056*q18 - 3*g0071*p4

 + 3*g0072*p4


g0282*q18 - 3*g0284*q20 - g0285*q20 - 3*g0297*q20 + 3*g0298*q20 - 3*g0299*q18


g0193*q18 - 3*g0195*q20 - g0196*q20 - 3*g0208*q20 + 3*g0209*q20 - 3*g0210*q18

 + 3*g0229*p4 - 3*g0230*p4


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


        1
q35= - ---*q18
        3


q34=0


q33=q20


     1
q32=---*q20
     3


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0

q20, 
q19= - q20

q18, 
q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0


p6=0


p5= - p4

p4, 
p3=0


p2=0


p1=0


with 96 terms
no equations
3 constants : p4,q18,q20
The equation: 

f = - D f*f *p4 + D D f*D f*p4
 t     2   x       1 2   1
The symmetry: 
    1       3               2                                2
f =---*(D f) *f *q20 - (D f) *D D f*D f*q20 + D f*D D f*(D f) *q18
 s  3    2     x         2     1 2   1         2   1 2    1

            2                     3        1       3
 + D f*(D f) *f *q20 + D D f*(D f) *q20 - ---*(D f) *f *q18
    2    1     x        1 2    1           3    1     x
And now in machine readable form:

The system: 

df(f(1),t)= - d(2,f(1))*df(f(1),x)*p4 + d(1,d(2,f(1)))*d(1,f(1))*p4$
The symmetry: 
df(f(1),s)=1/3*d(2,f(1))**3*df(f(1),x)*q20 - d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1
))*q20 + d(2,f(1))*d(1,d(2,f(1)))*d(1,f(1))**2*q18 + d(2,f(1))*d(1,f(1))**2*df(f
(1),x)*q20 + d(1,d(2,f(1)))*d(1,f(1))**3*q20 - 1/3*d(1,f(1))**3*df(f(1),x)*q18$

Back to level : 1.1.1.2.1.1.2.1.
Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

p4 + p5


New level : 1.1.1.2.1.1.2.1.2.
CRACK is now called with the new equation e_1310 : 
0=q18


Step 2834: 
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 7 terms

q20

The lexicographical ordering of unknowns is changed
because q20 has to be non-zero, giving q20 a low priority.
Old ordering: q20,q18,p5,p4
New ordering: q18,q20,p5,p4

The list of inequalities got extended by: 
An expression with 9 terms

The list of inequalities got extended by: 
An expression with 6 terms

Substitution of q18 found in e_1310 : 
q18=0



>>>>>>>>> Solution of level 1.1.1.2.1.1.2.1.2. : 
no equations


Non-vanishing expressions: q20,p4

2*g0114*p4*q20 + g0114*p5*q20 + g0126*p4*q20 - 2*g0127*p4*q20 - g0127*p5*q20

           2
 + g0144*p4


          2                                                       2
6*g0041*p4 *q20 + 3*g0041*p4*p5*q20 - 2*g0042*p4*p5*q20 - g0042*p5 *q20

             2                 2                                     2
 + 3*g0054*p4 *q20 - 6*g0055*p4 *q20 - 3*g0055*p4*p5*q20 + 3*g0071*p4 *p5

             3
 + 3*g0072*p4


          2                                           2             2
6*g0284*p4  + 3*g0284*p4*p5 - 2*g0285*p4*p5 - g0285*p5  + 3*g0297*p4

             2
 - 6*g0298*p4  - 3*g0298*p4*p5


          2                                                       2
6*g0195*p4 *q20 + 3*g0195*p4*p5*q20 - 2*g0196*p4*p5*q20 - g0196*p5 *q20

             2                 2                                     2
 + 3*g0208*p4 *q20 - 6*g0209*p4 *q20 - 3*g0209*p4*p5*q20 + 3*g0229*p4 *p5

             3
 + 3*g0230*p4


p4 - p5


g0320*p5 + g0321*p4


p4 + p5


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


q35=0


q34=0


     2*p4*q20 + p5*q20
q33=-------------------
            p4


         2               1    2
      - ---*p4*p5*q20 - ---*p5 *q20
         3               3
q32=--------------------------------
                    2
                  p4


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0

q20, 
      - 2*p4*q20 - p5*q20
q19=----------------------
              p4


q18=0


q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0


p6=0

p5, p4, 
p3=0


p2=0


p1=0


with 97 terms
no equations
3 constants : p4,p5,q20
The equation: 

f =D f*f *p5 + D D f*D f*p4
 t  2   x       1 2   1
The symmetry: 
        2       3                 1       3      2
f =( - ---*(D f) *f *p4*p5*q20 - ---*(D f) *f *p5 *q20
 s      3    2     x              3    2     x

              2             2            2
     - 2*(D f) *D D f*D f*p4 *q20 - (D f) *D D f*D f*p4*p5*q20
           2     1 2   1              2     1 2   1

                  2      2                2                           3   2
     + 2*D f*(D f) *f *p4 *q20 + D f*(D f) *f *p4*p5*q20 + D D f*(D f) *p4 *q20)
          2    1     x            2    1     x              1 2    1

   2
/p4
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,d(2,f(1)))*d(1,f(1))*p4$
The symmetry: 
df(f(1),s)=( - 2/3*d(2,f(1))**3*df(f(1),x)*p4*p5*q20 - 1/3*d(2,f(1))**3*df(f(1),
x)*p5**2*q20 - 2*d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1))*p4**2*q20 - d(2,f(1))**2*
d(1,d(2,f(1)))*d(1,f(1))*p4*p5*q20 + 2*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4**2*
q20 + d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4*p5*q20 + d(1,d(2,f(1)))*d(1,f(1))**3*
p4**2*q20)/p4**2$

Back to level : 1.1.1.2.1.1.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.1.1.2.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q20,q18,p8,p5,p4
New ordering: q20,q18,p5,p8,p4

New level : 1.1.1.2.1.1.2.2.
CRACK is now called with the new equation e_1621 : 
0=q18

e_1512 is a consequence of e_1621

Step 2835: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 42 terms

q20

The lexicographical ordering of unknowns is changed
because q20 has to be non-zero, giving q20 a low priority.
Old ordering: q20,q18,p5,p8,p4
New ordering: q18,q20,p5,p8,p4

The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 25 terms

Substitution of q18 found in e_1621 : 
q18=0


Step 2836: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q20=0

because of the non-vanishing expression:
q20


The list of inequalities got extended by: 

g0071*p5 + g0072*p4


p4


Back to level : 1.1.1.2.1.1.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.1.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.1.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q82,q74,q72,q71,q69,q68,q67,q66,q65,q61,q60,q56,q54,q52,q51,q49,
q48,q47,q46,q45,q44,q40,q39,q38,q37,q36,q29,q28,q27,q26,q24,q23,q21,q20,q18,p8,
p7,p5,p4
New ordering: q82,q74,q72,q71,q69,q68,q67,q66,q65,q61,q60,q56,q54,q52,q51,q49,
q48,q47,q46,q45,q44,q40,q39,q38,q37,q36,q29,q28,q27,q26,q24,q23,q21,q20,q18,p8,
p5,p7,p4

New level : 1.1.1.2.1.2.
The list of inequalities got extended by: 

p5


CRACK is now called with the new equation e_1326 : 
0=p4 - p5

e_1432,e_1430,e_1292,e_1387,e_1512,e_1534 are consequences of e_1326

Step 2837: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 99 terms

The list of inequalities got extended by: 
An expression with 100 terms

The list of inequalities got extended by: 

1


The list of inequalities got extended by: 
An expression with 4 terms

e_1526 is a consequence of e_1519.
e_1531 is a consequence of e_1519.
e_1532 is a consequence of e_1519.
e_1540 is a consequence of e_1525.
e_1545 is a consequence of e_1519.
e_1553 is a consequence of e_1519.
e_1554 is a consequence of e_1525.
e_1569 is a consequence of e_1519.
e_1571 is a consequence of e_1560.
e_1578 is a consequence of e_1293.
e_1579 is a consequence of e_1577.
e_1585 is a consequence of e_1519.
e_1597 is a consequence of e_1560.
e_1603 is a consequence of e_4.
*** Garbage collection starting 
*** GC 2386 31-Oct-2003 21:07:06, 40 ms (0%), 1342509 occupied, 23657414 free

e_1653 is a consequence of e_1588.
Substitution of p4 by an expression in 
p5 found in e_1326 : 
p4=p5


Step 2838: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 96 terms

e_1293 is a consequence of e_1519.
e_1570 is a consequence of e_1519.
e_1568 is a consequence of e_1519.
e_1557 is a consequence of e_1519.
Substitution of q27 by an expression in 
q24 found in e_1546 : 
q27=q24


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 : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 96 terms
*** Garbage collection starting 
*** GC 2387 31-Oct-2003 21:07:08, 30 ms (0%), 1380869 occupied, 23619053 free

The list of inequalities got extended by: 
An expression with 98 terms

e_1562 is a consequence of e_1575.
Substitution of q74 by an expression in 
q71, q44 found in e_1522 : 
q74=2*q44 - q71


Step 2840: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 98 terms

e_1576 is a consequence of e_1574.
Substitution of q44 by an expression in 
q28 found in e_1523 : 
q44=q28


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 : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 100 terms

Substitution of q56 by an expression in 
q48, q23, q21 found in e_4 : 
q56= - q21 - q23 + q48


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 : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 84 terms
*** Garbage collection starting 
*** GC 2388 31-Oct-2003 21:07:09, 30 ms (0%), 1379895 occupied, 23620028 free

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 96 terms

e_1098 is a consequence of e_1560.
e_1612 is a consequence of e_1611.
e_1539 is a consequence of e_1524.
e_1310 is a consequence of e_1524.
e_1533 is a consequence of e_1524.
e_1582 is a consequence of e_1591.
e_1549 is a consequence of e_1591.
e_1547 is a consequence of e_1591.
e_1544 is a consequence of e_1584.
e_1543 is a consequence of e_1583.
e_1592 is a consequence of e_1541.
e_1600 is a consequence of e_1581.
Substitution of q24 by an expression in 
q20, q18, p8, p5, p7 found in e_1519 : 8 factors in 3 terms

Step 2843: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 95 terms

e_1591 is a consequence of e_1558.
Substitution of q72 by an expression in 
q29 found in e_1535 : 
q72= - q29


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 : 
Substitution of q37 by an expression in 
q20, q18, p8, p5, p7 found in e_1521 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 95 terms
*** Garbage collection starting 
*** GC 2389 31-Oct-2003 21:07:10, 40 ms (0%), 1384943 occupied, 23614978 free

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 84 terms

e_1529 is a consequence of e_1594.
e_1583 is a consequence of e_1560.
e_1584 is a consequence of e_1560.
Substitution of q49 by an expression in 
q20, q18, p8, p5, p7 found in e_1525 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 83 terms

e_1611 is a consequence of e_1560.
e_1563 is a consequence of e_1548.
e_1650 is a consequence of e_1651.
Substitution of q36 by an expression in 
q20, q18, p8, p5, p7 found in e_1555 : 7 factors in 3 terms

Step 2847: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 79 terms

e_1657 is a consequence of e_1640.
e_1658 is a consequence of e_1640.
e_1588 is a consequence of e_1548.
e_1541 is a consequence of e_1524.
e_1581 is a consequence of e_1558.
Substitution of q47 by an expression in 
q20, q18, p8, p5, p7 found in e_1560 : 8 factors in 3 terms

Step 2848: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2390 31-Oct-2003 21:07:11, 40 ms (0%), 1358921 occupied, 23641002 free

The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 81 terms

e_1652 is a consequence of e_1615.
e_1601 is a consequence of e_1595.
Substitution of q21 by an expression in 
q20, q18, p8, p5, p7 found in e_1577 : 7 factors in 3 terms

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 : 
Substitution of q40 by an expression in 
q20, q18, p8, p5, p7 found in e_1520 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 97 terms

e_1618 is a consequence of e_1640.
e_1626 is a consequence of e_1640.
e_1662 is a consequence of e_1651.
Substitution of q38 by an expression in 
q20, q18, p8, p5, p7 found in e_1548 : 7 factors in 3 terms

Step 2851: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 97 terms

e_1622 is a consequence of e_1666.
e_1633 is a consequence of e_1632.
Substitution of q52 by an expression in 
q45 found in e_1654 : 
q52= - q45


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 : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 98 terms
e_1536 is a consequence of e_1528

Substitution of q82 by an expression in 
q71, q29, p8, p5, p7 found in e_1431 : 10 factors in 3 terms

Step 2853: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 84 terms
*** Garbage collection starting 
*** GC 2391 31-Oct-2003 21:07:12, 30 ms (0%), 1357651 occupied, 23642271 free

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 96 terms

e_1561 is a consequence of e_1572.
Substitution of q71 by an expression in 
q28 found in e_1528 : 
q71=q28


Step 2854: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 97 terms

Substitution of q69 by an expression in 
q68, q46 found in e_1323 : 
q69=2*q46 - q68


Step 2855: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 97 terms

e_1605 is a consequence of e_1609.
Substitution of q51 by an expression in 
q46 found in e_1551 : 
q51=q46


Step 2856: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 93 terms

e_1663 is a consequence of e_1558.
e_1647 is a consequence of e_1660.
e_1651 is a consequence of e_1558.
e_1643 is a consequence of e_1660.
e_1667 is a consequence of e_1594.
Substitution of q54 by an expression in 
q20, q18, p8, p5, p7 found in e_1640 : 8 factors in 3 terms

Step 2857: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2392 31-Oct-2003 21:07:14, 30 ms (0%), 1372309 occupied, 23627614 free

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 93 terms

e_1666 is a consequence of e_1594.
e_1649 is a consequence of e_1550.
e_1655 is a consequence of e_1564.
Substitution of q67 by an expression in 
q45 found in e_1632 : 
q67= - q45


Step 2858: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 90 terms

e_1587 is a consequence of e_1594.
e_1573 is a consequence of e_1572.
e_1527 is a consequence of e_1572.
e_1559 is a consequence of e_1598.
e_1606 is a consequence of e_1604.
e_1638 is a consequence of e_1625.
Substitution of q23 by an expression in 
q20, q18, p8, p5, p7 found in e_1552 : 7 factors in 3 terms

Step 2859: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 89 terms

e_1635 is a consequence of e_1572.
e_1595 is a consequence of e_1524.
e_1661 is a consequence of e_1660.
e_1656 is a consequence of e_1558.
e_1624 is a consequence of e_1619.
e_1675 is a consequence of e_1671.
Substitution of q48 by an expression in 
q20, q18, p8, p5, p7 found in e_1594 : 8 factors in 3 terms

Step 2860: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 89 terms

e_1373 is a consequence of e_1645.
e_1665 is a consequence of e_1615.
e_1586 is a consequence of e_1565.
e_1646 is a consequence of e_1669.
Substitution of q66 by an expression in 
q60 found in e_1668 : 
q66= - q60


Step 2861: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 88 terms

e_1641 is a consequence of e_1645.
e_1627 is a consequence of e_1645.
e_1538 is a consequence of e_1642.
e_1644 is a consequence of e_1634.
*** Garbage collection starting 
*** GC 2393 31-Oct-2003 21:07:15, 30 ms (0%), 1334175 occupied, 23665746 free

e_1566 is a consequence of e_1530.
e_1637 is a consequence of e_1636.
e_1307 is a consequence of e_1648.
e_1631 is a consequence of e_1616.
e_1619 is a consequence of e_1623.
e_1625 is a consequence of e_1572.
e_1664 is a consequence of e_1590.
Substitution of q68 by an expression in 
q46 found in e_1598 : 
q68=q46


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 : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 88 terms

e_1599 is a consequence of e_1602.
e_1542 is a consequence of e_1602.
e_1575 is a consequence of e_1602.
e_1574 is a consequence of e_1602.
e_1572 is a consequence of e_1602.
e_1564 is a consequence of e_1558.
e_1672 is a consequence of e_1660.
e_1628 is a consequence of e_1524.
e_1617 is a consequence of e_1524.
e_1669 is a consequence of e_1558.
e_1610 is a consequence of e_1608.
e_1671 is a consequence of e_1615.
e_1604 is a consequence of e_1630.
e_1589 is a consequence of e_1609.
Substitution of q39 by an expression in 
q20, q18, p8, p5, p7 found in e_1593 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 88 terms

e_1550 is a consequence of e_1558.
e_1567 is a consequence of e_1558.
e_1590 is a consequence of e_1524.
e_1620 is a consequence of e_1524.
e_1609 is a consequence of e_1524.
e_1630 is a consequence of e_1524.
e_1614 is a consequence of e_1660.
e_1613 is a consequence of e_1558.
e_1674 is a consequence of e_1623.
e_1608 is a consequence of e_1623.
e_1676 is a consequence of e_1623.
e_1607 is a consequence of e_1524.
e_1556 is a consequence of e_1660.
e_1565 is a consequence of e_1558.
e_1621 is a consequence of e_1615.
e_1537 is a consequence of e_1615.
e_1409 is a consequence of e_1677.
e_1673 is a consequence of e_1670.
e_1629 is a consequence of e_1670.
Substitution of q26 by an expression in 
q20, q18, p8, p5, p7 found in e_1602 : 8 factors in 3 terms

Step 2864: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 88 terms

e_1648 is a consequence of e_1530.
e_1634 is a consequence of e_1636.
e_1580 is a consequence of e_1642.
e_1013 is a consequence of e_1642.
e_1616 is a consequence of e_1677.
e_1596 is a consequence of e_1524.
e_1659 is a consequence of e_1524.
e_1670 is a consequence of e_1677.
Substitution of q65 by an expression in 
q61 found in e_1639 : 
q65=q61


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 : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q45 by an expression in 
q46, q29, q28, p8, p7 found in e_1645 : 10 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 100 terms

Substitution of q60 by an expression in 
q61, q29, q28, p8, p7 found in e_1636 : 10 factors in 4 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q46

from e_1623 and e_1677. e_1677: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                    2      2   2
 (q61,q46,q20,q18,p8 ,p8,p5 ,p7 ,p7)

is replaced by e_1484: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2   2
 (q61,q20,q18,p8 ,p8,p5 ,p7 ,p7)


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 : Eliminate 
q46

from e_1623 and e_1660. e_1660: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                        2      2   3   2
 (q46,q29,q28,q20,q18,p8 ,p8,p5 ,p7 ,p7 ,p7)

is replaced by e_1485: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                    3   2      2   3   2
 (q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)


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 
q28

from e_1524 and e_1485. e_1485: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                    3   2      2   3   2
 (q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)

is replaced by e_1486: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2   2
 (q29,q20,q18,p8 ,p8,p5 ,p7 ,p7)


e_1486 is a consequence of e_1558.
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 
q61

from e_1484 and e_1615. e_1615: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                            2      2   3   2
 (q61,q46,q29,q28,q20,q18,p8 ,p8,p5 ,p7 ,p7 ,p7)

is replaced by e_1371: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                        3   2      2   3   2
 (q46,q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)


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 
q46

from e_1623 and e_1371. e_1371: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                        3   2      2   3   2
 (q46,q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)

is replaced by e_1372: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                    3   2      2   3   2
 (q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)


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 
q28

from e_1524 and e_1372. e_1372: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                    3   2      2   3   2
 (q29,q28,q20,q18,p8 ,p8 ,p8,p5 ,p7 ,p7 ,p7)

is replaced by e_861: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                2      2   2
 (q29,q20,q18,p8 ,p8,p5 ,p7 ,p7)


e_861 is a consequence of e_1558.
Step 2873: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2874: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 81 terms
*** Garbage collection starting 
*** GC 2394 31-Oct-2003 21:07:16, 30 ms (0%), 1323945 occupied, 23675978 free

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 100 terms

e_1530 is a consequence of e_1642.
Substitution of q61 by an expression in 
q46 found in e_1491 : 
     3
q61=---*q46
     2


Step 2875: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_1642 is a consequence of e_737

Step 2876: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 88 terms

Substitution of q46 by an expression in 
q28 found in e_737 : 
q46=2*q28


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 :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 112 terms

Substitution of q29 by an expression in 
q20, q18, p8, p5, p7 found in e_1558 : 15 factors in 4 terms

Step 2878: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 126 terms

The list of inequalities got extended by: 
An expression with 132 terms

Substitution of q28 by an expression in 
q20, q18, p8, p5, p7 found in e_1484 : 15 factors in 4 terms


>>>>>>>>> Solution of level 1.1.1.2.1.2. : 
no equations


Non-vanishing expressions: p5,p7,p4
668 factors in 132 terms
578 factors in 126 terms
536 factors in 107 terms
533 factors in 106 terms

g0317*p8 + g0318*p7 + g0320*p5 + g0321*p5


functions : 
         18    3        162    2           54       2        54    3
      - ----*p7 *q18 + -----*p7 *p8*q20 + ----*p7*p8 *q18 - ----*p8 *q20
         35             35                 35                35
q83=---------------------------------------------------------------------
                                       3
                                     p5


      54    3        54    2           162       2        18    3
     ----*p7 *q20 + ----*p7 *p8*q18 - -----*p7*p8 *q20 - ----*p8 *q18
      35             35                35                 35
q82=------------------------------------------------------------------
                                     3
                                   p5


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


      18    2        12               18    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q74=----------------------------------------------
                           2
                         p5


      6    2        36               6    2
     ---*p7 *q18 - ----*p7*p8*q20 - ---*p8 *q18
      5             5                5
q73=--------------------------------------------
                          2
                        p5


         6    2        36               6    2
      - ---*p7 *q18 + ----*p7*p8*q20 + ---*p8 *q18
         5             5                5
q72=-----------------------------------------------
                            2
                          p5


      18    2        12               18    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q71=----------------------------------------------
                           2
                         p5


      12    2        72               12    2
     ----*p7 *q18 - ----*p7*p8*q20 - ----*p8 *q18
      5              5                5
q70=----------------------------------------------
                           2
                         p5


      36    2        24               36    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q69=----------------------------------------------
                           2
                         p5


      36    2        24               36    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q68=----------------------------------------------
                           2
                         p5


         12    2        72               12    2
      - ----*p7 *q18 + ----*p7*p8*q20 + ----*p8 *q18
         5              5                5
q67=-------------------------------------------------
                             2
                           p5


         18    2        108               18    2
      - ----*p7 *q18 + -----*p7*p8*q20 + ----*p8 *q18
         5               5                5
q66=--------------------------------------------------
                             2
                           p5


      54    2        36               54    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q65=----------------------------------------------
                           2
                         p5


      - p7*q18 + 3*p8*q20
q64=----------------------
              p5


     6*p7*q20 + 2*p8*q18
q63=---------------------
             p5


     p7*q18 - 3*p8*q20
q62=-------------------
            p5


      54    2        36               54    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q61=----------------------------------------------
                           2
                         p5


      18    2        108               18    2
     ----*p7 *q18 - -----*p7*p8*q20 - ----*p8 *q18
      5               5                5
q60=-----------------------------------------------
                            2
                          p5


     3*p7*q20 + p8*q18
q59=-------------------
            p5


     2*p7*q18 - 6*p8*q20
q58=---------------------
             p5


      - 3*p7*q20 - p8*q18
q57=----------------------
              p5


     6*p7*q20 + 2*p8*q18
q56=---------------------
             p5


     2*p7*q18 - 6*p8*q20
q55=---------------------
             p5


      - 2*p7*q18 + 6*p8*q20
q54=------------------------
               p5


     6*p7*q20 + 2*p8*q18
q53=---------------------
             p5


         12    2        72               12    2
      - ----*p7 *q18 + ----*p7*p8*q20 + ----*p8 *q18
         5              5                5
q52=-------------------------------------------------
                             2
                           p5


      36    2        24               36    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q51=----------------------------------------------
                           2
                         p5


     2*p7*q18 - 6*p8*q20
q50=---------------------
             p5


      - 6*p7*q20 - 2*p8*q18
q49=------------------------
               p5


     6*p7*q20 + 2*p8*q18
q48=---------------------
             p5


     2*p7*q18 - 6*p8*q20
q47=---------------------
             p5


      36    2        24               36    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q46=----------------------------------------------
                           2
                         p5


      12    2        72               12    2
     ----*p7 *q18 - ----*p7*p8*q20 - ----*p8 *q18
      5              5                5
q45=----------------------------------------------
                           2
                         p5


      18    2        12               18    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q44=----------------------------------------------
                           2
                         p5


         6    2        36               6    2
      - ---*p7 *q18 + ----*p7*p8*q20 + ---*p8 *q18
         5             5                5
q43=-----------------------------------------------
                            2
                          p5


     6*p7*q20 + 2*p8*q18
q42=---------------------
             p5


      - 2*p7*q18 + 6*p8*q20
q41=------------------------
               p5


     2*p7*q18 - 6*p8*q20
q40=---------------------
             p5


     6*p7*q20 + 2*p8*q18
q39=---------------------
             p5


      - p7*q18 + 3*p8*q20
q38=----------------------
              p5


     6*p7*q20 + 2*p8*q18
q37=---------------------
             p5


     p7*q18 - 3*p8*q20
q36=-------------------
            p5


        1
q35= - ---*q18
        3


q34=q18


q33=3*q20


q32= - q20


q31=0


q30=0


      6    2        36               6    2
     ---*p7 *q18 - ----*p7*p8*q20 - ---*p8 *q18
      5             5                5
q29=--------------------------------------------
                          2
                        p5


      18    2        12               18    2
     ----*p7 *q20 + ----*p7*p8*q18 - ----*p8 *q20
      5              5                5
q28=----------------------------------------------
                           2
                         p5


     2*p7*q18 - 6*p8*q20
q27=---------------------
             p5


     6*p7*q20 + 2*p8*q18
q26=---------------------
             p5


      - 6*p7*q20 - 2*p8*q18
q25=------------------------
               p5


     2*p7*q18 - 6*p8*q20
q24=---------------------
             p5


     3*p7*q20 + p8*q18
q23=-------------------
            p5


     2*p7*q18 - 6*p8*q20
q22=---------------------
             p5


      - 3*p7*q20 - p8*q18
q21=----------------------
              p5

q20, 
q19= - 3*q20

q18, 
        1
q17= - ---*q18
        3


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0

p8, p7, 
p6=0

p5, 
p4=p5


p3=0


p2=0


p1=0


with 222 terms
no equations
5 constants : p5,p7,p8,q18,q20
The equation: 

f =D f*f *p5 + D D f  *p7 + D D f*D f*p5 + f  *p8
 t  2   x       1 2 2x       1 2   1        3x
The symmetry: 
     6                   2        36
f =(---*D f  *D D f*p5*p7 *q18 - ----*D f  *D D f*p5*p7*p8*q20
 s   5   2 4x  1 2                5    2 4x  1 2

        6                   2        18                2
     - ---*D f  *D D f*p5*p8 *q18 + ----*D f  *f *p5*p7 *q20
        5   2 4x  1 2                5    2 4x  x

        12                           18                2
     + ----*D f  *f *p5*p7*p8*q18 - ----*D f  *f *p5*p8 *q20
        5    2 4x  x                 5    2 4x  x

        12                    2        72
     + ----*D f  *D D f *p5*p7 *q18 - ----*D f  *D D f *p5*p7*p8*q20
        5    2 3x  1 2 x               5    2 3x  1 2 x

        12                    2        36                 2
     - ----*D f  *D D f *p5*p8 *q18 + ----*D f  *f  *p5*p7 *q20
        5    2 3x  1 2 x               5    2 3x  2x

        24                            36                 2
     + ----*D f  *f  *p5*p7*p8*q18 - ----*D f  *f  *p5*p8 *q20
        5    2 3x  2x                 5    2 3x  2x

                           2                              2
     - 6*D f  *D f*D D f*p5 *p7*q20 - 2*D f  *D f*D D f*p5 *p8*q18
          2 2x  2   1 2                  2 2x  2   1 2

                        2                           2
     + 2*D f  *D f*f *p5 *p7*q18 - 6*D f  *D f*f *p5 *p8*q20
          2 2x  2   x                 2 2x  2   x

        18                     2        108
     + ----*D f  *D D f  *p5*p7 *q18 - -----*D f  *D D f  *p5*p7*p8*q20
        5    2 2x  1 2 2x                5    2 2x  1 2 2x

        18                     2                           2
     - ----*D f  *D D f  *p5*p8 *q18 + 2*D f  *D D f*D f*p5 *p7*q18
        5    2 2x  1 2 2x                 2 2x  1 2   1

                           2                           2
     - 6*D f  *D D f*D f*p5 *p8*q20 + 6*D f  *D f*f *p5 *p7*q20
          2 2x  1 2   1                  2 2x  1   x

                        2           54                 2
     + 2*D f  *D f*f *p5 *p8*q18 + ----*D f  *f  *p5*p7 *q20
          2 2x  1   x               5    2 2x  3x

        36                            54                 2
     + ----*D f  *f  *p5*p7*p8*q18 - ----*D f  *f  *p5*p8 *q20
        5    2 2x  3x                 5    2 2x  3x

               2         2                2         2
     - 3*(D f ) *D D f*p5 *p7*q20 - (D f ) *D D f*p5 *p8*q18
           2 x    1 2                 2 x    1 2

             2      2                  2      2
     + (D f ) *f *p5 *p7*q18 - 3*(D f ) *f *p5 *p8*q20
         2 x    x                  2 x    x

                           2                              2
     - 6*D f *D f*D D f *p5 *p7*q20 - 2*D f *D f*D D f *p5 *p8*q18
          2 x  2   1 2 x                 2 x  2   1 2 x

                        2                           2
     + 2*D f *D f*f  *p5 *p7*q18 - 6*D f *D f*f  *p5 *p8*q20
          2 x  2   2x                 2 x  2   2x

        12                    2        72
     + ----*D f *D D f  *p5*p7 *q18 - ----*D f *D D f  *p5*p7*p8*q20
        5    2 x  1 2 3x               5    2 x  1 2 3x

        12                    2                           2
     - ----*D f *D D f  *p5*p8 *q18 + 2*D f *D D f *D f*p5 *p7*q18
        5    2 x  1 2 3x                 2 x  1 2 x  1

                           2                              2
     - 6*D f *D D f *D f*p5 *p8*q20 + 2*D f *D D f*D f *p5 *p7*q18
          2 x  1 2 x  1                  2 x  1 2   1 x

                           2                           2
     - 6*D f *D D f*D f *p5 *p8*q20 + 6*D f *D f *f *p5 *p7*q20
          2 x  1 2   1 x                 2 x  1 x  x

                        2                           2
     + 2*D f *D f *f *p5 *p8*q18 + 6*D f *D f*f  *p5 *p7*q20
          2 x  1 x  x                 2 x  1   2x

                        2           36                2
     + 2*D f *D f*f  *p5 *p8*q18 + ----*D f *f  *p5*p7 *q20
          2 x  1   2x               5    2 x  4x

        24                           36                2
     + ----*D f *f  *p5*p7*p8*q18 - ----*D f *f  *p5*p8 *q20
        5    2 x  4x                 5    2 x  4x

        1       3         3            3      3
     - ---*(D f) *D D f*p5 *q18 - (D f) *f *p5 *q20
        3    2     1 2              2     x

              2           2               2           2
     - 3*(D f) *D D f  *p5 *p7*q20 - (D f) *D D f  *p5 *p8*q18
           2     1 2 2x                2     1 2 2x

              2             3            2          3
     - 3*(D f) *D D f*D f*p5 *q20 + (D f) *D f*f *p5 *q18
           2     1 2   1              2     1   x

            2       2                 2       2
     + (D f) *f  *p5 *p7*q18 - 3*(D f) *f  *p5 *p8*q20
         2     3x                  2     3x

        6                   2        36
     + ---*D f*D D f  *p5*p7 *q18 - ----*D f*D D f  *p5*p7*p8*q20
        5   2   1 2 4x               5    2   1 2 4x

        6                   2                           2
     - ---*D f*D D f  *p5*p8 *q18 + 2*D f*D D f  *D f*p5 *p7*q18
        5   2   1 2 4x                 2   1 2 2x  1

                           2                              2
     - 6*D f*D D f  *D f*p5 *p8*q20 + 2*D f*D D f *D f *p5 *p7*q18
          2   1 2 2x  1                  2   1 2 x  1 x

                           2                              2
     - 6*D f*D D f *D f *p5 *p8*q20 + 2*D f*D D f*D f  *p5 *p7*q18
          2   1 2 x  1 x                 2   1 2   1 2x

                           2                         2   3
     - 6*D f*D D f*D f  *p5 *p8*q20 + D f*D D f*(D f) *p5 *q18
          2   1 2   1 2x               2   1 2    1

                        2                           2
     + 6*D f*D f  *f *p5 *p7*q20 + 2*D f*D f  *f *p5 *p8*q18
          2   1 2x  x                 2   1 2x  x

                        2                           2
     + 6*D f*D f *f  *p5 *p7*q20 + 2*D f*D f *f  *p5 *p8*q18
          2   1 x  2x                 2   1 x  2x

                  2      3                       2
     + 3*D f*(D f) *f *p5 *q20 + 6*D f*D f*f  *p5 *p7*q20
          2    1     x              2   1   3x

                       2           18               2
     + 2*D f*D f*f  *p5 *p8*q18 + ----*D f*f  *p5*p7 *q20
          2   1   3x               5    2   5x

        12                          18               2
     + ----*D f*f  *p5*p7*p8*q18 - ----*D f*f  *p5*p8 *q20
        5    2   5x                 5    2   5x

        54            3        54            2           162               2
     + ----*D D f  *p7 *q20 + ----*D D f  *p7 *p8*q18 - -----*D D f  *p7*p8 *q20
        35   1 2 6x            35   1 2 6x               35    1 2 6x

        18            3        18                   2
     - ----*D D f  *p8 *q18 + ----*D D f  *D f*p5*p7 *q20
        35   1 2 6x            5    1 2 4x  1

        12                              18                   2
     + ----*D D f  *D f*p5*p7*p8*q18 - ----*D D f  *D f*p5*p8 *q20
        5    1 2 4x  1                  5    1 2 4x  1

        36                    2        24
     + ----*D D f  *D f *p5*p7 *q20 + ----*D D f  *D f *p5*p7*p8*q18
        5    1 2 3x  1 x               5    1 2 3x  1 x

        36                    2        54                     2
     - ----*D D f  *D f *p5*p8 *q20 + ----*D D f  *D f  *p5*p7 *q20
        5    1 2 3x  1 x               5    1 2 2x  1 2x

        36                                54                     2
     + ----*D D f  *D f  *p5*p7*p8*q18 - ----*D D f  *D f  *p5*p8 *q20
        5    1 2 2x  1 2x                 5    1 2 2x  1 2x

                      2   2                       2   2
     + 3*D D f  *(D f) *p5 *p7*q20 + D D f  *(D f) *p5 *p8*q18
          1 2 2x   1                  1 2 2x   1

        36                    2        24
     + ----*D D f *D f  *p5*p7 *q20 + ----*D D f *D f  *p5*p7*p8*q18
        5    1 2 x  1 3x               5    1 2 x  1 3x

        36                    2                           2
     - ----*D D f *D f  *p5*p8 *q20 + 6*D D f *D f *D f*p5 *p7*q20
        5    1 2 x  1 3x                 1 2 x  1 x  1

                           2           18                   2
     + 2*D D f *D f *D f*p5 *p8*q18 + ----*D D f*D f  *p5*p7 *q20
          1 2 x  1 x  1                5    1 2   1 4x

        12                              18                   2
     + ----*D D f*D f  *p5*p7*p8*q18 - ----*D D f*D f  *p5*p8 *q20
        5    1 2   1 4x                 5    1 2   1 4x

                           2                              2
     + 6*D D f*D f  *D f*p5 *p7*q20 + 2*D D f*D f  *D f*p5 *p8*q18
          1 2   1 2x  1                  1 2   1 2x  1

                     2   2                      2   2
     + 3*D D f*(D f ) *p5 *p7*q20 + D D f*(D f ) *p5 *p8*q18
          1 2    1 x                 1 2    1 x

                  3   3        6                2
     + D D f*(D f) *p5 *q20 - ---*D f  *f *p5*p7 *q18
        1 2    1               5   1 4x  x

        36                           6                2
     + ----*D f  *f *p5*p7*p8*q20 + ---*D f  *f *p5*p8 *q18
        5    1 4x  x                 5   1 4x  x

        12                 2        72
     - ----*D f  *f  *p5*p7 *q18 + ----*D f  *f  *p5*p7*p8*q20
        5    1 3x  2x               5    1 3x  2x

        12                 2                        2
     + ----*D f  *f  *p5*p8 *q18 - 2*D f  *D f*f *p5 *p7*q18
        5    1 3x  2x                 1 2x  1   x

                        2           18                 2
     + 6*D f  *D f*f *p5 *p8*q20 - ----*D f  *f  *p5*p7 *q18
          1 2x  1   x               5    1 2x  3x

        108                            18                 2
     + -----*D f  *f  *p5*p7*p8*q20 + ----*D f  *f  *p5*p8 *q18
         5    1 2x  3x                 5    1 2x  3x

             2      2                  2      2
     - (D f ) *f *p5 *p7*q18 + 3*(D f ) *f *p5 *p8*q20
         1 x    x                  1 x    x

                        2                           2
     - 2*D f *D f*f  *p5 *p7*q18 + 6*D f *D f*f  *p5 *p8*q20
          1 x  1   2x                 1 x  1   2x

        12                2        72
     - ----*D f *f  *p5*p7 *q18 + ----*D f *f  *p5*p7*p8*q20
        5    1 x  4x               5    1 x  4x

        12                2        1       3      3            2       2
     + ----*D f *f  *p5*p8 *q18 - ---*(D f) *f *p5 *q18 - (D f) *f  *p5 *p7*q18
        5    1 x  4x               3    1     x             1     3x

              2       2           6               2
     + 3*(D f) *f  *p5 *p8*q20 - ---*D f*f  *p5*p7 *q18
           1     3x               5   1   5x

        36                          6               2        18        3
     + ----*D f*f  *p5*p7*p8*q20 + ---*D f*f  *p5*p8 *q18 - ----*f  *p7 *q18
        5    1   5x                 5   1   5x               35   7x

        162        2           54           2        54        3        3
     + -----*f  *p7 *p8*q20 + ----*f  *p7*p8 *q18 - ----*f  *p8 *q20)/p5
        35    7x               35   7x               35   7x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,d(2,df(f(1),x,2)))*p7 + d(1,d(2,f(1)))*
d(1,f(1))*p5 + df(f(1),x,3)*p8$
The symmetry: 
df(f(1),s)=(6/5*d(2,df(f(1),x,4))*d(1,d(2,f(1)))*p5*p7**2*q18 - 36/5*d(2,df(f(1)
,x,4))*d(1,d(2,f(1)))*p5*p7*p8*q20 - 6/5*d(2,df(f(1),x,4))*d(1,d(2,f(1)))*p5*p8
**2*q18 + 18/5*d(2,df(f(1),x,4))*df(f(1),x)*p5*p7**2*q20 + 12/5*d(2,df(f(1),x,4)
)*df(f(1),x)*p5*p7*p8*q18 - 18/5*d(2,df(f(1),x,4))*df(f(1),x)*p5*p8**2*q20 + 12/
5*d(2,df(f(1),x,3))*d(1,d(2,df(f(1),x)))*p5*p7**2*q18 - 72/5*d(2,df(f(1),x,3))*d
(1,d(2,df(f(1),x)))*p5*p7*p8*q20 - 12/5*d(2,df(f(1),x,3))*d(1,d(2,df(f(1),x)))*
p5*p8**2*q18 + 36/5*d(2,df(f(1),x,3))*df(f(1),x,2)*p5*p7**2*q20 + 24/5*d(2,df(f(
1),x,3))*df(f(1),x,2)*p5*p7*p8*q18 - 36/5*d(2,df(f(1),x,3))*df(f(1),x,2)*p5*p8**
2*q20 - 6*d(2,df(f(1),x,2))*d(2,f(1))*d(1,d(2,f(1)))*p5**2*p7*q20 - 2*d(2,df(f(1
),x,2))*d(2,f(1))*d(1,d(2,f(1)))*p5**2*p8*q18 + 2*d(2,df(f(1),x,2))*d(2,f(1))*df
(f(1),x)*p5**2*p7*q18 - 6*d(2,df(f(1),x,2))*d(2,f(1))*df(f(1),x)*p5**2*p8*q20 + 
18/5*d(2,df(f(1),x,2))*d(1,d(2,df(f(1),x,2)))*p5*p7**2*q18 - 108/5*d(2,df(f(1),x
,2))*d(1,d(2,df(f(1),x,2)))*p5*p7*p8*q20 - 18/5*d(2,df(f(1),x,2))*d(1,d(2,df(f(1
),x,2)))*p5*p8**2*q18 + 2*d(2,df(f(1),x,2))*d(1,d(2,f(1)))*d(1,f(1))*p5**2*p7*
q18 - 6*d(2,df(f(1),x,2))*d(1,d(2,f(1)))*d(1,f(1))*p5**2*p8*q20 + 6*d(2,df(f(1),
x,2))*d(1,f(1))*df(f(1),x)*p5**2*p7*q20 + 2*d(2,df(f(1),x,2))*d(1,f(1))*df(f(1),
x)*p5**2*p8*q18 + 54/5*d(2,df(f(1),x,2))*df(f(1),x,3)*p5*p7**2*q20 + 36/5*d(2,df
(f(1),x,2))*df(f(1),x,3)*p5*p7*p8*q18 - 54/5*d(2,df(f(1),x,2))*df(f(1),x,3)*p5*
p8**2*q20 - 3*d(2,df(f(1),x))**2*d(1,d(2,f(1)))*p5**2*p7*q20 - d(2,df(f(1),x))**
2*d(1,d(2,f(1)))*p5**2*p8*q18 + d(2,df(f(1),x))**2*df(f(1),x)*p5**2*p7*q18 - 3*d
(2,df(f(1),x))**2*df(f(1),x)*p5**2*p8*q20 - 6*d(2,df(f(1),x))*d(2,f(1))*d(1,d(2,
df(f(1),x)))*p5**2*p7*q20 - 2*d(2,df(f(1),x))*d(2,f(1))*d(1,d(2,df(f(1),x)))*p5
**2*p8*q18 + 2*d(2,df(f(1),x))*d(2,f(1))*df(f(1),x,2)*p5**2*p7*q18 - 6*d(2,df(f(
1),x))*d(2,f(1))*df(f(1),x,2)*p5**2*p8*q20 + 12/5*d(2,df(f(1),x))*d(1,d(2,df(f(1
),x,3)))*p5*p7**2*q18 - 72/5*d(2,df(f(1),x))*d(1,d(2,df(f(1),x,3)))*p5*p7*p8*q20
 - 12/5*d(2,df(f(1),x))*d(1,d(2,df(f(1),x,3)))*p5*p8**2*q18 + 2*d(2,df(f(1),x))*
d(1,d(2,df(f(1),x)))*d(1,f(1))*p5**2*p7*q18 - 6*d(2,df(f(1),x))*d(1,d(2,df(f(1),
x)))*d(1,f(1))*p5**2*p8*q20 + 2*d(2,df(f(1),x))*d(1,d(2,f(1)))*d(1,df(f(1),x))*
p5**2*p7*q18 - 6*d(2,df(f(1),x))*d(1,d(2,f(1)))*d(1,df(f(1),x))*p5**2*p8*q20 + 6
*d(2,df(f(1),x))*d(1,df(f(1),x))*df(f(1),x)*p5**2*p7*q20 + 2*d(2,df(f(1),x))*d(1
,df(f(1),x))*df(f(1),x)*p5**2*p8*q18 + 6*d(2,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*
p5**2*p7*q20 + 2*d(2,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p5**2*p8*q18 + 36/5*d(2,
df(f(1),x))*df(f(1),x,4)*p5*p7**2*q20 + 24/5*d(2,df(f(1),x))*df(f(1),x,4)*p5*p7*
p8*q18 - 36/5*d(2,df(f(1),x))*df(f(1),x,4)*p5*p8**2*q20 - 1/3*d(2,f(1))**3*d(1,d
(2,f(1)))*p5**3*q18 - d(2,f(1))**3*df(f(1),x)*p5**3*q20 - 3*d(2,f(1))**2*d(1,d(2
,df(f(1),x,2)))*p5**2*p7*q20 - d(2,f(1))**2*d(1,d(2,df(f(1),x,2)))*p5**2*p8*q18 
- 3*d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1))*p5**3*q20 + d(2,f(1))**2*d(1,f(1))*df(
f(1),x)*p5**3*q18 + d(2,f(1))**2*df(f(1),x,3)*p5**2*p7*q18 - 3*d(2,f(1))**2*df(f
(1),x,3)*p5**2*p8*q20 + 6/5*d(2,f(1))*d(1,d(2,df(f(1),x,4)))*p5*p7**2*q18 - 36/5
*d(2,f(1))*d(1,d(2,df(f(1),x,4)))*p5*p7*p8*q20 - 6/5*d(2,f(1))*d(1,d(2,df(f(1),x
,4)))*p5*p8**2*q18 + 2*d(2,f(1))*d(1,d(2,df(f(1),x,2)))*d(1,f(1))*p5**2*p7*q18 -
 6*d(2,f(1))*d(1,d(2,df(f(1),x,2)))*d(1,f(1))*p5**2*p8*q20 + 2*d(2,f(1))*d(1,d(2
,df(f(1),x)))*d(1,df(f(1),x))*p5**2*p7*q18 - 6*d(2,f(1))*d(1,d(2,df(f(1),x)))*d(
1,df(f(1),x))*p5**2*p8*q20 + 2*d(2,f(1))*d(1,d(2,f(1)))*d(1,df(f(1),x,2))*p5**2*
p7*q18 - 6*d(2,f(1))*d(1,d(2,f(1)))*d(1,df(f(1),x,2))*p5**2*p8*q20 + d(2,f(1))*d
(1,d(2,f(1)))*d(1,f(1))**2*p5**3*q18 + 6*d(2,f(1))*d(1,df(f(1),x,2))*df(f(1),x)*
p5**2*p7*q20 + 2*d(2,f(1))*d(1,df(f(1),x,2))*df(f(1),x)*p5**2*p8*q18 + 6*d(2,f(1
))*d(1,df(f(1),x))*df(f(1),x,2)*p5**2*p7*q20 + 2*d(2,f(1))*d(1,df(f(1),x))*df(f(
1),x,2)*p5**2*p8*q18 + 3*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p5**3*q20 + 6*d(2,f(1
))*d(1,f(1))*df(f(1),x,3)*p5**2*p7*q20 + 2*d(2,f(1))*d(1,f(1))*df(f(1),x,3)*p5**
2*p8*q18 + 18/5*d(2,f(1))*df(f(1),x,5)*p5*p7**2*q20 + 12/5*d(2,f(1))*df(f(1),x,5
)*p5*p7*p8*q18 - 18/5*d(2,f(1))*df(f(1),x,5)*p5*p8**2*q20 + 54/35*d(1,d(2,df(f(1
),x,6)))*p7**3*q20 + 54/35*d(1,d(2,df(f(1),x,6)))*p7**2*p8*q18 - 162/35*d(1,d(2,
df(f(1),x,6)))*p7*p8**2*q20 - 18/35*d(1,d(2,df(f(1),x,6)))*p8**3*q18 + 18/5*d(1,
d(2,df(f(1),x,4)))*d(1,f(1))*p5*p7**2*q20 + 12/5*d(1,d(2,df(f(1),x,4)))*d(1,f(1)
)*p5*p7*p8*q18 - 18/5*d(1,d(2,df(f(1),x,4)))*d(1,f(1))*p5*p8**2*q20 + 36/5*d(1,d
(2,df(f(1),x,3)))*d(1,df(f(1),x))*p5*p7**2*q20 + 24/5*d(1,d(2,df(f(1),x,3)))*d(1
,df(f(1),x))*p5*p7*p8*q18 - 36/5*d(1,d(2,df(f(1),x,3)))*d(1,df(f(1),x))*p5*p8**2
*q20 + 54/5*d(1,d(2,df(f(1),x,2)))*d(1,df(f(1),x,2))*p5*p7**2*q20 + 36/5*d(1,d(2
,df(f(1),x,2)))*d(1,df(f(1),x,2))*p5*p7*p8*q18 - 54/5*d(1,d(2,df(f(1),x,2)))*d(1
,df(f(1),x,2))*p5*p8**2*q20 + 3*d(1,d(2,df(f(1),x,2)))*d(1,f(1))**2*p5**2*p7*q20
 + d(1,d(2,df(f(1),x,2)))*d(1,f(1))**2*p5**2*p8*q18 + 36/5*d(1,d(2,df(f(1),x)))*
d(1,df(f(1),x,3))*p5*p7**2*q20 + 24/5*d(1,d(2,df(f(1),x)))*d(1,df(f(1),x,3))*p5*
p7*p8*q18 - 36/5*d(1,d(2,df(f(1),x)))*d(1,df(f(1),x,3))*p5*p8**2*q20 + 6*d(1,d(2
,df(f(1),x)))*d(1,df(f(1),x))*d(1,f(1))*p5**2*p7*q20 + 2*d(1,d(2,df(f(1),x)))*d(
1,df(f(1),x))*d(1,f(1))*p5**2*p8*q18 + 18/5*d(1,d(2,f(1)))*d(1,df(f(1),x,4))*p5*
p7**2*q20 + 12/5*d(1,d(2,f(1)))*d(1,df(f(1),x,4))*p5*p7*p8*q18 - 18/5*d(1,d(2,f(
1)))*d(1,df(f(1),x,4))*p5*p8**2*q20 + 6*d(1,d(2,f(1)))*d(1,df(f(1),x,2))*d(1,f(1
))*p5**2*p7*q20 + 2*d(1,d(2,f(1)))*d(1,df(f(1),x,2))*d(1,f(1))*p5**2*p8*q18 + 3*
d(1,d(2,f(1)))*d(1,df(f(1),x))**2*p5**2*p7*q20 + d(1,d(2,f(1)))*d(1,df(f(1),x))
**2*p5**2*p8*q18 + d(1,d(2,f(1)))*d(1,f(1))**3*p5**3*q20 - 6/5*d(1,df(f(1),x,4))
*df(f(1),x)*p5*p7**2*q18 + 36/5*d(1,df(f(1),x,4))*df(f(1),x)*p5*p7*p8*q20 + 6/5*
d(1,df(f(1),x,4))*df(f(1),x)*p5*p8**2*q18 - 12/5*d(1,df(f(1),x,3))*df(f(1),x,2)*
p5*p7**2*q18 + 72/5*d(1,df(f(1),x,3))*df(f(1),x,2)*p5*p7*p8*q20 + 12/5*d(1,df(f(
1),x,3))*df(f(1),x,2)*p5*p8**2*q18 - 2*d(1,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p5
**2*p7*q18 + 6*d(1,df(f(1),x,2))*d(1,f(1))*df(f(1),x)*p5**2*p8*q20 - 18/5*d(1,df
(f(1),x,2))*df(f(1),x,3)*p5*p7**2*q18 + 108/5*d(1,df(f(1),x,2))*df(f(1),x,3)*p5*
p7*p8*q20 + 18/5*d(1,df(f(1),x,2))*df(f(1),x,3)*p5*p8**2*q18 - d(1,df(f(1),x))**
2*df(f(1),x)*p5**2*p7*q18 + 3*d(1,df(f(1),x))**2*df(f(1),x)*p5**2*p8*q20 - 2*d(1
,df(f(1),x))*d(1,f(1))*df(f(1),x,2)*p5**2*p7*q18 + 6*d(1,df(f(1),x))*d(1,f(1))*
df(f(1),x,2)*p5**2*p8*q20 - 12/5*d(1,df(f(1),x))*df(f(1),x,4)*p5*p7**2*q18 + 72/
5*d(1,df(f(1),x))*df(f(1),x,4)*p5*p7*p8*q20 + 12/5*d(1,df(f(1),x))*df(f(1),x,4)*
p5*p8**2*q18 - 1/3*d(1,f(1))**3*df(f(1),x)*p5**3*q18 - d(1,f(1))**2*df(f(1),x,3)
*p5**2*p7*q18 + 3*d(1,f(1))**2*df(f(1),x,3)*p5**2*p8*q20 - 6/5*d(1,f(1))*df(f(1)
,x,5)*p5*p7**2*q18 + 36/5*d(1,f(1))*df(f(1),x,5)*p5*p7*p8*q20 + 6/5*d(1,f(1))*df
(f(1),x,5)*p5*p8**2*q18 - 18/35*df(f(1),x,7)*p7**3*q18 + 162/35*df(f(1),x,7)*p7
**2*p8*q20 + 54/35*df(f(1),x,7)*p7*p8**2*q18 - 54/35*df(f(1),x,7)*p8**3*q20)/p5
**3$

Back to level : 1.1.1.2.1.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q82,q74,q72,q71,q69,q68,q67,q66,q65,q61,q60,q56,q54,q52,q51,q49,
q48,q47,q46,q45,q44,q40,q39,q38,q37,q36,q29,q28,q27,q26,q24,q23,q21,q20,q18,p8,
p7,p5,p4
New ordering: q82,q74,q72,q71,q69,q68,q67,q66,q65,q61,q60,q56,q54,q52,q51,q49,
q48,q47,q46,q45,q44,q40,q39,q38,q37,q36,q29,q28,q27,q26,q24,q23,q21,q20,q18,p8,
p5,p7,p4

The list of inequalities got extended by: 

p4 - p5


New level : 1.1.1.2.1.3.
CRACK is now called with the new equation e_1326 : 
0=q20


Step 2879: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 93 terms
e_1512,e_1534 are consequences of e_1519

e_1527 is a consequence of e_1520.
*** Garbage collection starting 
*** GC 2395 31-Oct-2003 21:07:17, 40 ms (0%), 1318197 occupied, 23681748 free

e_1409 is a consequence of e_1526.
Substitution of q20 found in e_1326 : 
q20=0


Step 2880: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 72 terms

e_1522 is a consequence of e_1526.
e_1521 is a consequence of e_1526.
e_1549 is a consequence of e_1526.
e_1548 is a consequence of e_1520.
e_1531 is a consequence of e_1520.
e_1530 is a consequence of e_1520.
e_1541 is a consequence of e_1520.
*** Garbage collection starting 
*** GC 2396 31-Oct-2003 21:07:19, 30 ms (0%), 1369019 occupied, 23630927 free

Substitution of q18 found in e_1519 : 
q18=0


Step 2881: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1540 is a consequence of e_1539.
e_1570 is a consequence of e_1572.
e_1576 is a consequence of e_1575.
Substitution of q49 found in e_1526 : 
q49=0


Step 2882: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 49 terms

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 60 terms
e_1293 is a consequence of e_1542
e_1532 is a consequence of e_1533

e_1545 is a consequence of e_1543.
e_1551 is a consequence of e_1542.e_1589 is a consequence of e_1575

e_1561 is a consequence of e_1571.
e_1562 is a consequence of e_1577.
e_1604 is a consequence of e_1603.
*** Garbage collection starting 
*** GC 2397 31-Oct-2003 21:07:20, 30 ms (0%), 1362037 occupied, 23637908 free

Substitution of q24 found in e_1520 : 
q24=0


Step 2883: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 53 terms

e_1577 is a consequence of e_1542.
e_1575 is a consequence of e_1542.
e_1564 is a consequence of e_1542.
e_1571 is a consequence of e_1542.
e_1554 is a consequence of e_1542.
e_1310 is a consequence of e_1542.
Substitution of q47 found in e_1539 : 
q47=0


Step 2884: 
Hot list 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 39 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 45 terms

e_1537 is a consequence of e_1533.
e_1536 is a consequence of e_1533.
e_1525 is a consequence of e_1533.
e_1573 is a consequence of e_1543.
e_1580 is a consequence of e_1544.
e_1584 is a consequence of e_1533.
e_1563 is a consequence of e_1543.
e_1574 is a consequence of e_1543.
e_1592 is a consequence of e_1543.
e_1583 is a consequence of e_1543.
*** Garbage collection starting 
*** GC 2398 31-Oct-2003 21:07:22, 30 ms (0%), 1350663 occupied, 23649283 free

Substitution of q27 found in e_1542 : 
q27=0


Step 2885: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 44 terms

Substitution of q71 found in e_1533 : 
q71=0


Step 2886: 
Hot list 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 42 terms

The list of inequalities got extended by: 
An expression with 43 terms
e_1550 is a consequence of e_1557
e_1632 is a consequence of e_1618

Substitution of q38 found in e_1544 : 
q38=0


Step 2887: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q40 found in e_1523 : 
q40=0


Step 2888: 
Hot list 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 40 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1618 is a consequence of e_1610.e_1610,e_1645 are consequences of e_1603

e_1649 is a consequence of e_1603.
e_1650 is a consequence of e_1603.
Substitution of q36 found in e_1557 : 
q36=0


Step 2889: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 32 terms

Substitution of q54 found in e_1603 : 
q54=0


Step 2890: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1552 is a consequence of e_1535.
Substitution of q72 by an expression in 
q29 found in e_1543 : 
q72= - 2*q29


Step 2891: 
Hot list 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 30 terms

The list of inequalities got extended by: 
An expression with 27 terms

The list of inequalities got extended by: 
An expression with 29 terms
e_1635 is a consequence of e_1643

e_1642 is a consequence of e_1643.
Substitution of q29 found in e_1535 : 
q29=0


Step 2892: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2399 31-Oct-2003 21:07:23, 30 ms (0%), 1339697 occupied, 23660248 free

The list of inequalities got extended by: 
An expression with 28 terms

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 27 terms

Substitution of q45 found in e_1643 : 
q45=0


Step 2893: 
Hot list 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 27 terms

The list of inequalities got extended by: 
An expression with 24 terms

Substitution of q52 found in e_1646 : 
q52=0


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 : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 26 terms

Substitution of q56 by an expression in 
q48, q39, q26 found in e_4 : 
q56= - q26 - q39 + q48


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 : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 26 terms

Substitution of q60 by an expression in 
q23, p8, p4 found in e_1654 : 
     3*p8*q23
q60=----------
        p4


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 : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 26 terms

Substitution of q67 by an expression in 
q26, p8, p4 found in e_1641 : 
      - 3*p8*q26
q67=-------------
         p4


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 : 
The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 27 terms

e_1639 is a consequence of e_1652.
e_1644 is a consequence of e_1652.
e_1607 is a consequence of e_1652.
e_1655 is a consequence of e_1652.
Substitution of q21 by an expression in 
q23, p5, p4 found in e_1547 : 10 factors in 3 terms

Step 2898: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q37 by an expression in 
q23, p5, p4 found in e_1524 : 
      - p4*q23 + p5*q23
q37=--------------------
             p4


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 : 
The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 32 terms

Substitution of q44 by an expression in 
q74, q39, q26, p5, p7, p4 found in e_1556 : 14 factors in 4 terms

Step 2900: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 50 terms
*** Garbage collection starting 
*** GC 2400 31-Oct-2003 21:07:25, 30 ms (0%), 1348703 occupied, 23651240 free

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 60 terms

Substitution of q82 by an expression in 
q74, q28, p5, p7, p4 found in e_1373 : 8 factors in 3 terms

Step 2901: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 54 terms

The list of inequalities got extended by: 
An expression with 64 terms

Substitution of q66 by an expression in 
q48, q26, q23, p8, p4 found in e_1671 : 9 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 76 terms
e_1566,e_1565,e_1560 are consequences of e_1431
e_1456,e_1582 are consequences of e_1555

Substitution of q39 by an expression in 
q74, q28, q26, p5, p7, p4 found in e_1569 : 15 factors in 5 terms

Step 2903: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 53 terms

The list of inequalities got extended by: 
An expression with 59 terms

e_1431 is a consequence of e_1581.
e_1625 is a consequence of e_1581.
Substitution of q74 found in e_1555 : 
q74=0


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 : 
The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 27 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 47 terms

e_1558 is a consequence of e_1546.
e_1647 is a consequence of e_1546.
e_1624 is a consequence of e_1546.e_1546 is a consequence of e_1567

e_1568 is a consequence of e_1567.
e_1323 is a consequence of e_1567.
e_1013 is a consequence of e_1567.
*** Garbage collection starting 
*** GC 2401 31-Oct-2003 21:07:27, 30 ms (0%), 1337111 occupied, 23662834 free

Substitution of q28 by an expression in 
q26, p7, p4 found in e_1581 : 
      - p7*q26
q28=-----------
        p4


Step 2905: 
Hot list 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 21 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 19 terms

e_1648 is a consequence of e_1605.
e_1606 is a consequence of e_1605.
e_1559 is a consequence of e_1652.
e_1661 is a consequence of e_1652.
e_1653 is a consequence of e_1605.
e_1585 is a consequence of e_1593.
e_1594 is a consequence of e_1587.
e_1614 is a consequence of e_1658.
e_1307 is a consequence of e_1596.
e_1306 is a consequence of e_1597.
Substitution of q26 found in e_1567 : 
q26=0


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 : 
The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 20 terms

Substitution of q69 by an expression in 
q68, q51 found in e_1597 : 
q69=2*q51 - q68


Step 2907: 
Hot list 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 22 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
e_1633 is a consequence of e_1634

e_1619 is a consequence of e_702.
Substitution of q51 by an expression in 
q46 found in e_1596 : 
q51=q46


Step 2908: 
Hot list 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 20 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 18 terms

Substitution of q68 found in e_1634 : 
q68=0


Step 2909: 
Hot list 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 17 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_1364 is a consequence of e_1484.e_1605 is a consequence of e_1656

e_1599 is a consequence of e_1656.e_1613 is a consequence of e_1600

e_1626 is a consequence of e_1636.
e_1483 is a consequence of e_1637.
e_1485 is a consequence of e_1640.
e_1628 is a consequence of e_1629.e_1658 is a consequence of e_1553

e_1486 is a consequence of e_1389.
e_1617 is a consequence of e_1553.
Substitution of q46 found in e_702 : 
q46=0


Step 2910: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 
An expression with 11 terms
e_1572,e_1528,e_1601,e_1598,e_1668,e_1652 are consequences of e_1600

e_1637 is a consequence of e_1600.
e_1672 is a consequence of e_1600.
e_1578 is a consequence of e_1600.
e_1638 is a consequence of e_1600.
e_1586 is a consequence of e_1600.
e_1620 is a consequence of e_1600.
e_1590 is a consequence of e_1600.
e_1611 is a consequence of e_1600.
e_1630 is a consequence of e_1600.
e_1666 is a consequence of e_1600.
e_1553 is a consequence of e_1600.
e_1616 is a consequence of e_1600.
e_1602 is a consequence of e_1600.
e_1615 is a consequence of e_1600.
e_1609 is a consequence of e_1600.
e_1651 is a consequence of e_1484.
e_1588 is a consequence of e_1484.
e_1587 is a consequence of e_1600.
e_1593 is a consequence of e_1600.
e_1529 is a consequence of e_1600.
e_1663 is a consequence of e_1600.
e_1664 is a consequence of e_1600.
e_1660 is a consequence of e_1600.
e_1591 is a consequence of e_1600.
e_1513 is a consequence of e_1600.
e_1538 is a consequence of e_1600.
e_1579 is a consequence of e_1600.
e_1659 is a consequence of e_1600.
e_1667 is a consequence of e_1600.
e_1657 is a consequence of e_1600.
e_1595 is a consequence of e_1600.
Substitution of q48 found in e_1656 : 
q48=0


Step 2911: 
Hot list 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

The list of inequalities got extended by: 

g0091*q61 + g0142*p7 + g0144*p4


The list of inequalities got extended by: 

g0252*q65 + g0256*q61


e_1629 is a consequence of e_1670.
e_1389 is a consequence of e_1670.e_1636 is a consequence of e_1640

e_1623 is a consequence of e_1640.
e_1608 is a consequence of e_1640.
e_1622 is a consequence of e_1670.
e_1669 is a consequence of e_1670.
e_1627 is a consequence of e_1670.
e_1612 is a consequence of e_1670.
Substitution of q23 found in e_1600 : 
q23=0


Step 2912: 
Hot list 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: 

g0163*q65 + g0229*p5 + g0230*p4


The list of inequalities got extended by: 

g0142*p7 + g0144*p4


The list of inequalities got extended by: 

q65

The lexicographical ordering of unknowns is changed
because q65 has to be non-zero, giving q65 a low priority.
Old ordering: q65,q61,p8,p5,p7,p4
New ordering: q61,q65,p8,p5,p7,p4

The list of inequalities got extended by: 

q61


The list of inequalities got extended by: 

p5


Substitution of q61 found in e_1670 : 
q61=0


leads to a contradiction in : 
0=q61 + q65


Back to level : 1.1.1.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.
Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

p6

The lexicographical ordering of unknowns is changed
because p6 has to be non-zero, giving p6 a low priority.
Old ordering: q82,q81,q74,q73,q72,q71,q69,q68,q67,q66,q65,q64,q63,q62,q61,q60,
q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,
q36,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q18,q17,p8,p7,p6,p5,p4
New ordering: q82,q81,q74,q73,q72,q71,q69,q68,q67,q66,q65,q64,q63,q62,q61,q60,
q57,q56,q55,q54,q53,q52,q51,q49,q48,q47,q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,
q36,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q18,q17,p8,p7,p5,p6,p4

New level : 1.1.1.2.2.
CRACK is now called with the new equation e_1373 : 
0=q17

e_34 is a consequence of e_1373

Step 2913: 
Hot list of urgent steps : 
*** Garbage collection starting 
*** GC 2402 31-Oct-2003 21:07:28, 50 ms (0%), 1327298 occupied, 23672652 free

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 82 terms

e_1114 is a consequence of e_752.
Substitution of q17 found in e_1373 : 
q17=0


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 : 
The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 83 terms

Substitution of q73 by an expression in 
q42, q25, p7, p6 found in e_1309 : 
     p7*q25 + p7*q42
q73=-----------------
           p6


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 : 
The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 84 terms

Substitution of q82 by an expression in 
q43, q29, p7, p6 found in e_1318 : 
     p7*q29 + p7*q43
q82=-----------------
           p6


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 : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 73 terms
*** Garbage collection starting 
*** GC 2403 31-Oct-2003 21:07:29, 40 ms (0%), 1365650 occupied, 23634301 free

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 86 terms

Substitution of q49 by an expression in 
q55, q40, q25, p5, p6 found in e_1002 : 10 factors in 4 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q57

from e_752 and e_1136. e_1136 is deleted.

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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2404 31-Oct-2003 21:07:31, 30 ms (0%), 1409807 occupied, 23589640 free
Eliminate 
q20

from e_861 and e_752. e_752: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                         2
 (q57,q20,q18,p7,p5,p6,p4 ,p4)

is replaced by e_1374: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q57,q18,p7,p5,p6,p4)


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 : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 88 terms
*** Garbage collection starting 
*** GC 2405 31-Oct-2003 21:07:31, 30 ms (0%), 1369498 occupied, 23630450 free

Substitution of q57 by an expression in 
q18, p7, p5, p6, p4 found in e_1374 : 13 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_861 and e_1293. e_1293: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2         3   2
 (q21,q20,q18,p7,p5 ,p5,p6,p4 ,p4 ,p4)

is replaced by e_1435: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2         2
 (q21,q18,p7,p5 ,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_861 and e_1292. e_1292: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                       2         2
 (q36,q21,q20,q18,p8,p5 ,p5,p6,p4 ,p4)

is replaced by e_1436: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                   2      2
 (q36,q21,q18,p8,p5 ,p5,p6 ,p6,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2406 31-Oct-2003 21:07:33, 40 ms (0%), 1412811 occupied, 23587120 free
Eliminate 
q20

from e_861 and e_1297. e_1297: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                         2      3   2
 (q62,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1437: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q62,q18,p8,p5,p6,p4)


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 : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 89 terms

e_1098 is a consequence of e_861.
e_1298 is a consequence of e_861.
Substitution of q62 by an expression in 
q18, p8, p5, p6, p4 found in e_1437 : 13 factors in 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 2 terms

Step 2928: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2407 31-Oct-2003 21:07:34, 40 ms (0%), 1458394 occupied, 23541043 free
Eliminate 
q20

from e_861 and e_1360. e_1360: 
(#) 6 terms, 25 factors, with derivatives of functions of all variables: 

                           2      2      2
 (q55,q40,q25,q20,q18,p7,p5 ,p5,p6 ,p6,p4 ,p4)

is replaced by e_1463: 
(#) 5 terms, 16 factors, with derivatives of functions of all variables: 

                       2
 (q55,q40,q25,q18,p7,p5 ,p5,p6,p4)


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 : 
*** Garbage collection starting 
*** GC 2408 31-Oct-2003 21:07:35, 50 ms (0%), 1612129 occupied, 23387448 free
Eliminate 
q20

from e_861 and e_1296. e_1296: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                             2      2
 (q22,q21,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4)

is replaced by e_1464: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                         2      2
 (q22,q21,q18,p8,p7,p5,p6 ,p6,p4 ,p4)


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 
q20

from e_861 and e_4. e_4: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                             2      2
 (q40,q27,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4)

is replaced by e_1465: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2409 31-Oct-2003 21:07:36, 40 ms (0%), 1541444 occupied, 23458118 free
Eliminate 
q20

from e_861 and e_1294. e_1294: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                             3   2      3   2
 (q40,q27,q20,q18,p8,p7,p5,p6 ,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1466: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2410 31-Oct-2003 21:07:37, 40 ms (0%), 1468734 occupied, 23530761 free
*** Garbage collection starting 
*** GC 2411 31-Oct-2003 21:07:38, 50 ms (0%), 1623415 occupied, 23376161 free
Eliminate 
q20

from e_861 and e_737. e_737: 
 10 terms, 50 factors, with derivatives of functions of all variables: 

                             3   2      3   2
 (q40,q27,q20,q18,p8,p7,p5,p6 ,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1467: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2412 31-Oct-2003 21:07:39, 40 ms (0%), 1562888 occupied, 23436689 free
Eliminate 
q40

from e_1438 and e_1379. e_1379: 
(#) 6 terms, 19 factors, with derivatives of functions of all variables: 

 (q42,q40,q27,q25,q18,p8,p7,p5,p6,p4)

is replaced by e_1468: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

 (q42,q25,q18,p8,p7,p5,p4)


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 : 
*** Garbage collection starting 
*** GC 2413 31-Oct-2003 21:07:40, 40 ms (0%), 1498504 occupied, 23501028 free
*** Garbage collection starting 
*** GC 2414 31-Oct-2003 21:07:41, 40 ms (0%), 1428702 occupied, 23571205 free
*** Garbage collection starting 
*** GC 2415 31-Oct-2003 21:07:42, 50 ms (0%), 1602464 occupied, 23397123 free
Eliminate 
q20

from e_861 and e_1440. e_1440: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                                 2      2
 (q63,q40,q27,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4)

is replaced by e_1469: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                             2      2
 (q63,q40,q27,q18,p8,p7,p5,p6 ,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2416 31-Oct-2003 21:07:44, 50 ms (0%), 1543343 occupied, 23456200 free
*** Garbage collection starting 
*** GC 2417 31-Oct-2003 21:07:45, 40 ms (0%), 1479470 occupied, 23520045 free
Eliminate 
q20

from e_861 and e_1362. e_1362: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                                 2      2
 (q55,q40,q27,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4)

is replaced by e_1470: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                                2
 (q55,q40,q27,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2418 31-Oct-2003 21:07:46, 60 ms (0%), 1627230 occupied, 23372343 free
Eliminate 
q40

from e_1465 and e_1470. e_1470: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                                2
 (q55,q40,q27,q18,p8,p7,p5,p6,p4 ,p4)

is replaced by e_1471: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                        2
 (q55,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2419 31-Oct-2003 21:07:47, 30 ms (0%), 1572646 occupied, 23426945 free
*** Garbage collection starting 
*** GC 2420 31-Oct-2003 21:07:48, 40 ms (0%), 1518001 occupied, 23481517 free
Eliminate 
q20

from e_861 and e_1277. e_1277: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                                 2      3   2
 (q63,q42,q25,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1472: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                                2
 (q63,q42,q25,q18,p8,p7,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_861 and e_1302. e_1302: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                              2      2      2
 (q81,q36,q22,q20,q18,p8,p7,p5 ,p5,p6 ,p6,p4 ,p4)

is replaced by e_1473: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                          2         2
 (q81,q36,q22,q18,p8,p7,p5 ,p5,p6,p4 ,p4)


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 : 
*** Garbage collection starting 
*** GC 2421 31-Oct-2003 21:07:49, 30 ms (0%), 1437247 occupied, 23562487 free
*** Garbage collection starting 
*** GC 2422 31-Oct-2003 21:07:50, 50 ms (0%), 1608822 occupied, 23390739 free
*** Garbage collection starting 
*** GC 2423 31-Oct-2003 21:07:51, 50 ms (0%), 1558110 occupied, 23441496 free
Eliminate 
q42

from e_1468 and e_1441. e_1441: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

 (q55,q42,q40,q27,q25,q18,p8,p7,p5,p6,p4)

is replaced by e_1474: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

 (q55,q40,q27,q18,p8,p7,p5,p6,p4)


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 : 
*** Garbage collection starting 
*** GC 2424 31-Oct-2003 21:07:52, 50 ms (0%), 1495411 occupied, 23504152 free
*** Garbage collection starting 
*** GC 2425 31-Oct-2003 21:07:53, 30 ms (0%), 1428401 occupied, 23571525 free
*** Garbage collection starting 
*** GC 2426 31-Oct-2003 21:07:54, 50 ms (0%), 1604549 occupied, 23394988 free
Eliminate 
q20

from e_861 and e_1303. e_1303: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                                     2      3   2
 (q55,q47,q40,q27,q20,q18,p8,p7,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1475: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                                    2
 (q55,q47,q40,q27,q18,p8,p7,p5,p6,p4 ,p4)


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 : 
*** Garbage collection starting 
*** GC 2427 31-Oct-2003 21:07:56, 50 ms (0%), 1548705 occupied, 23450889 free
Eliminate 
q40

from e_1465 and e_1475. e_1475: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                                    2
 (q55,q47,q40,q27,q18,p8,p7,p5,p6,p4 ,p4)

is replaced by e_1476: 

0=q47 - q55


Step 2942: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 89 terms
*** Garbage collection starting 
*** GC 2428 31-Oct-2003 21:07:57, 40 ms (0%), 1417474 occupied, 23582473 free

Substitution of q55 by an expression in 
q47 found in e_1476 : 
q55=q47


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 2429 31-Oct-2003 21:07:58, 40 ms (0%), 1567293 occupied, 23432252 free
*** Garbage collection starting 
*** GC 2430 31-Oct-2003 21:07:59, 50 ms (0%), 1523590 occupied, 23475870 free
*** Garbage collection starting 
*** GC 2431 31-Oct-2003 21:08:00, 40 ms (0%), 1474325 occupied, 23525127 free
*** Garbage collection starting 
*** GC 2432 31-Oct-2003 21:08:01, 40 ms (0%), 1647204 occupied, 23352386 free
*** Garbage collection starting 
*** GC 2433 31-Oct-2003 21:08:02, 40 ms (0%), 1609561 occupied, 23390041 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1313 we get the alternative equations : 
0=p7

11 factors in 5 terms

New level : 1.1.1.2.2.1.
CRACK is now called with the new equation e_1523 : 
0=p7

e_1314,e_1375,e_1324,e_1325,e_1295,e_1438,e_1468 are consequences of e_1523

Step 2944: 
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 65 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 77 terms

e_1557 is a consequence of e_1294.
Substitution of p7 found in e_1523 : 
p7=0


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 : 
The list of inequalities got extended by: 
An expression with 66 terms
*** Garbage collection starting 
*** GC 2434 31-Oct-2003 21:08:04, 40 ms (0%), 1482883 occupied, 23517054 free

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q74 by an expression in 
q44, q28 found in e_1375 : 7 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 79 terms

Substitution of q71 by an expression in 
q27, p8, p4 found in e_1293 : 
      3
     ---*p8*q27
      5
q71=------------
         p4


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 : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 81 terms

Substitution of q23 by an expression in 
q22, q20, p8, p6, p4 found in e_1318 : 9 factors in 3 terms

Step 2948: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 69 terms
*** Garbage collection starting 
*** GC 2435 31-Oct-2003 21:08:05, 50 ms (0%), 1509161 occupied, 23490767 free

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 82 terms

Substitution of q69 by an expression in 
q81, q46, p8, p4 found in e_1554 : 7 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 88 terms

Substitution of q47 by an expression in 
q27, q25, q18, p8, p6, p4 found in e_1372 : 11 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 90 terms
*** Garbage collection starting 
*** GC 2436 31-Oct-2003 21:08:06, 40 ms (0%), 1494729 occupied, 23505213 free

Substitution of q67 by an expression in 
q68, q52, q51, p5, p6 found in e_1379 : 8 factors in 4 terms

Step 2951: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 92 terms

Substitution of q63 by an expression in 
q40, q27, q25, p6, p4 found in e_1504 : 13 factors in 4 terms

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 83 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 96 terms

e_1587 is a consequence of e_1555.
Substitution of q45 by an expression in 
q44, q40, q29, p8, p5, p6 found in e_1575 : 10 factors in 4 terms

Step 2953: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 99 terms

The list of inequalities got extended by: 
An expression with 98 terms

e_1538 is a consequence of e_1570.
Substitution of q72 by an expression in 
q44, q43, q28, p6, p4 found in e_1277 : 13 factors in 4 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 : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 86 terms
*** Garbage collection starting 
*** GC 2437 31-Oct-2003 21:08:07, 40 ms (0%), 1536157 occupied, 23463770 free

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 101 terms

Substitution of q42 by an expression in 
q40, q27, q25, p6, p4 found in e_1505 : 12 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 103 terms

Substitution of q60 by an expression in 
q44, q36, q29, p8, p5, p6 found in e_1586 : 10 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 111 terms

The list of inequalities got extended by: 
An expression with 110 terms

e_1570 is a consequence of e_1506.
*** Garbage collection starting 
*** GC 2438 31-Oct-2003 21:08:09, 40 ms (0%), 1494933 occupied, 23505010 free

Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1470 : 10 factors in 4 terms

Step 2957: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 113 terms

The list of inequalities got extended by: 
An expression with 112 terms

Substitution of q40 by an expression in 
q27, q25, q18, p8, p6, p4 found in e_1530 : 12 factors in 4 terms

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 : 
*** Garbage collection starting 
*** GC 2439 31-Oct-2003 21:08:10, 40 ms (0%), 1500301 occupied, 23499646 free

The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 116 terms

The list of inequalities got extended by: 
An expression with 115 terms

Substitution of q28 by an expression in 
q43, q29, p5, p6, p4 found in e_1553 : 15 factors in 5 terms

Step 2959: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 96 terms

The list of inequalities got extended by: 
An expression with 116 terms

The list of inequalities got extended by: 
An expression with 115 terms

e_737 is a consequence of e_1292.
*** Garbage collection starting 
*** GC 2440 31-Oct-2003 21:08:11, 40 ms (0%), 1499417 occupied, 23500527 free

Substitution of q29 by an expression in 
q27, p8, p6, p4 found in e_1536 : 7 factors in 2 terms

Step 2960: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 105 terms

e_1292 is a consequence of e_1506.
e_1571 is a consequence of e_1506.
Substitution of q43 by an expression in 
q27, p8, p6, p4 found in e_1531 : 7 factors in 2 terms

Step 2961: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 110 terms

The list of inequalities got extended by: 
An expression with 108 terms

Substitution of q65 by an expression in 
q61, q54, q41, q27, p8, p4 found in e_1568 : 13 factors in 5 terms

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 : 
*** Garbage collection starting 
*** GC 2441 31-Oct-2003 21:08:13, 40 ms (0%), 1490371 occupied, 23509575 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2963: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2964: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2965: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2966: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2967: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2968: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2969: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2970: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2971: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1530 is a consequence of e_1136.
Step 2972: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2973: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2974: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2975: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2976: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2977: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2978: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2979: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2980: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1676 is a consequence of e_1633.
Step 2981: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2982: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 100 terms

The list of inequalities got extended by: 
An expression with 115 terms

The list of inequalities got extended by: 
An expression with 113 terms

Substitution of q68 by an expression in 
q51, q46, q41, q27, p8, p4 found in e_1677 : 13 factors in 5 terms

Step 2983: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2984: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2985: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2986: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2987: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2988: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2989: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2990: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2991: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2992: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2993: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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

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 1 term

Step 2996: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2997: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2998: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2999: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3001: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3002: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3003: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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

Step 3005: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3006: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3007: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3008: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3009: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3010: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3011: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3012: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3013: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3014: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3015: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3016: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3017: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3018: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3019: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3020: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1623 is a consequence of e_1506.
Step 3021: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1379 is a consequence of e_1506.
Step 3022: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3023: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 104 terms
*** Garbage collection starting 
*** GC 2442 31-Oct-2003 21:08:14, 40 ms (0%), 1499695 occupied, 23500247 free

The list of inequalities got extended by: 
An expression with 119 terms

The list of inequalities got extended by: 
An expression with 117 terms

Substitution of q51 by an expression in 
q64, q54, q46, q27, p8, p4 found in e_1504 : 12 factors in 5 terms

Step 3024: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3025: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3026: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3027: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3028: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3029: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3030: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3031: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3032: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3033: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3034: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3035: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3036: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3037: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3038: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3039: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3040: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3041: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3042: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3043: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3044: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3045: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3046: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3047: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3048: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3049: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3050: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3051: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3052: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3053: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3054: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3055: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3056: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3057: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3058: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3059: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1660 is a consequence of e_1652.
Step 3060: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3061: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3062: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3063: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3064: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3065: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1569 is a consequence of e_1675.
Step 3066: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3067: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3068: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1614 is a consequence of e_1652.
Step 3069: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3070: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3071: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3072: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 119 terms

The list of inequalities got extended by: 
An expression with 117 terms
*** Garbage collection starting 
*** GC 2443 31-Oct-2003 21:08:16, 50 ms (0%), 1488453 occupied, 23511494 free

Substitution of q46 by an expression in 
q26, p8, p6 found in e_1609 : 
     3*p8*q26
q46=----------
        p6


Step 3073: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3074: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3075: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3076: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3077: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3078: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3079: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3080: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3081: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3082: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3083: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3084: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3085: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3086: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3087: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3088: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3089: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3090: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3091: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3092: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3093: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3094: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3095: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3096: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3097: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3098: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3099: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3100: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3101: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3102: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3103: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 3 terms

Step 3106: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3107: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3108: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3109: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3110: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 122 terms

The list of inequalities got extended by: 
An expression with 120 terms

Substitution of q66 by an expression in 
q64, q61, q52, q38, p8, p6, p4 found in e_1717 : 12 factors in 5 terms

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 :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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 2 terms

e_1543 is a consequence of e_1506.
Step 3117: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3118: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

Step 3121: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3122: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3123: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

Step 3125: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3126: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3127: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3128: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3129: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3130: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3131: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3132: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3133: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3134: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3135: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3136: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3137: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3138: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3139: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3140: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3141: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3142: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3143: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3144: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3145: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3146: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3147: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3148: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3149: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 2444 31-Oct-2003 21:08:17, 40 ms (0%), 1488691 occupied, 23511255 free
 --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3150: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1584 is a consequence of e_1136.
Step 3151: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3152: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3153: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3154: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3155: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3156: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3157: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3158: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3159: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3160: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3161: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3162: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 122 terms

The list of inequalities got extended by: 
An expression with 120 terms

Substitution of q52 by an expression in 
q64, p8, p5, p6, p4 found in e_1514 : 12 factors in 3 terms

Step 3163: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3164: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3165: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3167: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3168: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3169: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3170: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 2 terms

Step 3172: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3173: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

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 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 125 terms

The list of inequalities got extended by: 
An expression with 123 terms

Substitution of q61 by an expression in 
q22, q20, p8, p6, p4 found in e_1640 : 9 factors in 3 terms

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 4 terms

e_1642 is a consequence of e_1652.
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 4 terms

e_1470 is a consequence of e_1652.
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 3 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 4 terms

Step 3180: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3181: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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 3 terms

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 4 terms

Step 3185: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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 : 
*** Garbage collection starting 
*** GC 2445 31-Oct-2003 21:08:19, 40 ms (0%), 1483777 occupied, 23516170 free
 --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3187: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 4 terms

Step 3190: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 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 4 terms

Step 3192: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 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 4 terms

Step 3194: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3195: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 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 4 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 4 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 4 terms

Step 3199: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3200: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 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 4 terms

Step 3202: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3203: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3204: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3205: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3206: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3207: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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 4 terms

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 4 terms

Step 3210: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3211: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 3212: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3213: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 3214: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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 4 terms

Step 3216: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3217: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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 3 terms

Step 3219: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3220: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3221: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_1546 is a consequence of e_1676

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

e_1677 is a consequence of e_1303.
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

e_1681 is a consequence of e_1303.
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

e_1584 is a consequence of e_1303.
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

e_1525 is a consequence of e_1303.
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

e_1700 is a consequence of e_1303.
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

e_1662 is a consequence of e_1303.
Step 3228: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3229: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 3236: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3237: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : 
The list of inequalities got extended by: 
An expression with 104 terms

The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 123 terms

The list of inequalities got extended by: 
An expression with 121 terms

e_1618 is a consequence of e_1676.
e_1303 is a consequence of e_1676.
e_1581 is a consequence of e_1676.
e_1571 is a consequence of e_1676.
e_1616 is a consequence of e_1676.
e_1716 is a consequence of e_1676.
e_1476 is a consequence of e_1676.
e_1623 is a consequence of e_1676.
*** Garbage collection starting 
*** GC 2446 31-Oct-2003 21:08:20, 40 ms (0%), 1478101 occupied, 23521844 free

Substitution of q25 by an expression in 
q18, p8, p5, p4 found in e_1589 : 12 factors in 3 terms

Step 3240: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3241: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms
e_1638,e_1530,e_1719 are consequences of e_1646

Step 3243: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3244: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1651 is a consequence of e_1646.
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

e_1292 is a consequence of e_1621.
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

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 2 terms

Step 3252: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3253: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3254: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3255: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1440 is a consequence of e_1676.
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

e_1594 is a consequence of e_1676.
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 2 terms

e_1682 is a consequence of e_1676.
Step 3259: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3260: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3261: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3262: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3263: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3264: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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

Step 3266: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3267: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3268: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3269: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3270: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3271: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3272: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3273: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3274: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1671 is a consequence of e_1563.
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 2 terms

Step 3276: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3277: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3278: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

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 4 terms

Step 3280: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3281: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3282: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3283: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3284: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3285: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 3287: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3288: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3289: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3290: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 129 terms

The list of inequalities got extended by: 
An expression with 127 terms

e_1646 is a consequence of e_1676.
Substitution of q64 by an expression in 
q18, p8, p5, p6, p4 found in e_1525 : 13 factors in 3 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 1 term

Step 3292: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3293: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3294: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3295: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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

e_1632 is a consequence of e_1676.
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 2 terms

Step 3305: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

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 2 terms

Step 3308: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 3311: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3312: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3313: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 2 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 1 term

Step 3316: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2447 31-Oct-2003 21:08:22, 40 ms (0%), 1474511 occupied, 23525430 free
shortening by 1 term

Step 3317: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3318: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 2 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 2 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 2 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 2 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 : 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 2 terms

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 2 terms

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 1 term

Step 3331: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 1 term

Step 3334: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

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 2 terms

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 2 terms

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 2 terms

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 3 terms

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 3 terms

Step 3341: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3342: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3343: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3344: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 1 term

Step 3346: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3347: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3348: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3349: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1292 is a consequence of e_1676.
Step 3350: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1372 is a consequence of e_1676.
Step 3351: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3352: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3353: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3354: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3355: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3356: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3357: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3358: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3359: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 3361: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3362: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 2 terms

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 1 term

e_1536 is a consequence of e_1676.
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

e_1606 is a consequence of e_1676.
Step 3370: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3371: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3372: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3373: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3374: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3375: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3376: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1653 is a consequence of e_1676.
Step 3377: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3378: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1437 is a consequence of e_1676.
Step 3379: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3380: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1711 is a consequence of e_1676.
Step 3381: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3382: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3383: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3384: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1692 is a consequence of e_1676.
Step 3385: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3386: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1637 is a consequence of e_1676.
Step 3387: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3388: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1654 is a consequence of e_1676.
Step 3389: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1560 is a consequence of e_1676.
Step 3390: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1625 is a consequence of e_1630.
Step 3391: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3392: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3393: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3394: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3395: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 1 term

e_737 is a consequence of e_1676.
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

e_1597 is a consequence of e_1676.
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

e_1591 is a consequence of e_1676.
Step 3399: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1596 is a consequence of e_1676.
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 3 terms

e_1318 is a consequence of e_1676.
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 3 terms

e_1599 is a consequence of e_1676.
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 3 terms

e_1546 is a consequence of e_1676.
Step 3403: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_1541 is a consequence of e_1676.
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 2 terms

e_1655 is a consequence of e_1676.
Step 3405: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 3 terms

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 3 terms

Step 3408: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1646 is a consequence of e_1676.
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

e_1700 is a consequence of e_1676.
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

e_1658 is a consequence of e_1676.
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

e_1662 is a consequence of e_1676.
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

e_1277 is a consequence of e_1676.
Step 3414: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1529 is a consequence of e_1676.
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 2 terms

e_1664 is a consequence of e_1506.
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 2 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 : 
The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 129 terms

The list of inequalities got extended by: 
An expression with 127 terms

e_1525 is a consequence of e_1506.
Substitution of q53 by an expression in 
q27, p6, p4 found in e_1518 : 
      - 4*p4*q27
q53=-------------
         p6


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

e_4 is a consequence of e_1506.
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 106 terms
*** Garbage collection starting 
*** GC 2448 31-Oct-2003 21:08:23, 40 ms (0%), 1483647 occupied, 23516273 free

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 129 terms

The list of inequalities got extended by: 
An expression with 127 terms

Substitution of q21 by an expression in 
q22, p5, p6 found in e_1564 : 
      - p5*q22
q21=-----------
        p6


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

e_1576 is a consequence of e_1676.
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

e_1369 is a consequence of e_1676.
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

e_1632 is a consequence of e_1676.
Step 3424: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1712 is a consequence of e_1676.
Step 3425: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3426: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 2 terms

Step 3428: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3429: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3430: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_1506 is a consequence of e_1635

Step 3431: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 100 terms

The list of inequalities got extended by: 
An expression with 97 terms

e_1523 is a consequence of e_1610.
e_1503 is a consequence of e_1676.
e_1517 is a consequence of e_1676.
e_1283 is a consequence of e_1676.
e_1633 is a consequence of e_1676.
e_1555 is a consequence of e_1676.
e_1002 is a consequence of e_1676.
e_1528 is a consequence of e_1676.
e_1616 is a consequence of e_1676.
e_1512 is a consequence of e_1676.
e_1589 is a consequence of e_1676.
e_1623 is a consequence of e_1676.
e_1701 is a consequence of e_1676.
e_1642 is a consequence of e_1676.
e_1704 is a consequence of e_1676.
e_1639 is a consequence of e_1676.
e_1537 is a consequence of e_1676.
Substitution of q27 found in e_1635 : 
q27=0


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 2 terms

Step 3433: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 99 terms

Substitution of q56 by an expression in 
q48, q39, q26 found in e_1588 : 
q56= - q26 - q39 + q48


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 3 terms

Step 3435: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 99 terms

e_1557 is a consequence of e_1619.
Substitution of q41 by an expression in 
q24 found in e_1508 : 
q41=q24


Step 3436: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 85 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 106 terms
*** Garbage collection starting 
*** GC 2449 31-Oct-2003 21:08:24, 40 ms (0%), 1463181 occupied, 23536763 free

The list of inequalities got extended by: 
An expression with 103 terms

Substitution of q39 by an expression in 
q26, q24, p5, p6, p4 found in e_1527 : 10 factors in 4 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 1 term

e_1540 is a consequence of e_1507.
Step 3439: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3440: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

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 2 terms

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 2 terms

Step 3445: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 : 
The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 121 terms

The list of inequalities got extended by: 
An expression with 118 terms

Substitution of q54 by an expression in 
q81, q36, q22, p5, p4 found in e_1681 : 16 factors in 5 terms

Step 3447: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3448: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3449: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3450: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1578 is a consequence of e_1674.
Step 3451: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3452: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3453: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms
e_1562 is a consequence of e_1713

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 : 
The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 119 terms

The list of inequalities got extended by: 
An expression with 116 terms

e_1672 is a consequence of e_1619.
e_1631 is a consequence of e_1619.
e_1476 is a consequence of e_1676.
e_1535 is a consequence of e_1676.
e_1565 is a consequence of e_1676.
Substitution of q26 by an expression in 
q24, p5, p6, p4 found in e_1713 : 
     p4*q24 - p5*q24
q26=-----------------
           p6


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 3 terms

Step 3456: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_1618 is a consequence of e_1682.
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 4 terms
e_1682,e_1619 are consequences of e_1542

Step 3458: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 99 terms

e_1688 is a consequence of e_1674.
e_1593 is a consequence of e_1674.
e_1313 is a consequence of e_1676.
Substitution of q24 found in e_1542 : 
q24=0


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 : 
The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 110 terms
*** Garbage collection starting 
*** GC 2450 31-Oct-2003 21:08:26, 40 ms (0%), 1461915 occupied, 23538023 free

The list of inequalities got extended by: 
An expression with 107 terms

Substitution of q48 by an expression in 
q81, q36, q22, p5, p6, p4 found in e_1574 : 16 factors in 5 terms

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 : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 116 terms

The list of inequalities got extended by: 
An expression with 113 terms

Substitution of q38 by an expression in 
q81, q36, q22, p5, p4 found in e_1720 : 18 factors in 5 terms

Step 3461: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 95 terms

Substitution of q36 by an expression in 
q81, q22, p5, p4 found in e_1617 : 14 factors in 4 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 : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 99 terms

Substitution of q37 by an expression in 
q81, q22, p5, p6, p4 found in e_1620 : 18 factors in 5 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 1 term

e_34 is a consequence of e_1674.
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

e_1583 is a consequence of e_1674.
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

e_1711 is a consequence of e_1674.
Step 3466: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1694 is a consequence of e_1674.
Step 3467: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_1690 is a consequence of e_1513.
Step 3468: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3469: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3470: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 2 terms

Step 3472: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 5 terms

e_1671 is a consequence of e_1368.
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 4 terms

Step 3475: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3476: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 4 terms

Step 3478: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3479: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3480: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_1630 and e_1622. e_1622: 

0=p8*(2*q22 - q81)

is replaced by e_1458: 

0=p8*q81


e_1458 is a consequence of e_1674.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_1630 and e_1511. e_1511: 

0=p8*(q22 + 2*q81)

is replaced by e_1678: 

0=p8*q81


e_1678 is a consequence of e_1674.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_1098 and e_1560. e_1560: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

               2   2
 (q81,q22,p5,p6 ,p4 ,p4)

is replaced by e_1626: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

           2   2
 (q81,p5,p6 ,p4 ,p4)


Step 3483: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2451 31-Oct-2003 21:08:27, 30 ms (0%), 1432282 occupied, 23567664 free
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1674 we get the alternative equations : 
0=p8


0=q81


New level : 1.1.1.2.2.1.1.
CRACK is now called with the new equation e_1543 : 
0=p8

e_1676,e_1630,e_1677 are consequences of e_1543

Step 3484: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0319*p6 + g0320*p5 + g0321*p4


The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 41 terms

Substitution of p8 found in e_1543 : 
p8=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1513 we get the alternative equations : 
0=p5


0=3*q22 - 4*q81


New level : 1.1.1.2.2.1.1.1.
CRACK is now called with the new equation e_1629 : 
0=p5

e_1368,e_1625 are consequences of e_1629

Step 3486: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0319*p6 + g0321*p4


The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 29 terms

Substitution of p5 found in e_1629 : 
p5=0


Step 3487: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 21 terms
e_1645 is a consequence of e_1646

e_1538 is a consequence of e_1646.
e_1584 is a consequence of e_1646.
e_1662 is a consequence of e_1646.
e_1700 is a consequence of e_1646.
e_1621 is a consequence of e_1646.
e_1136 is a consequence of e_1646.
e_1649 is a consequence of e_1646.
e_1529 is a consequence of e_1646.
e_1628 is a consequence of e_1646.
e_1277 is a consequence of e_1646.
e_1324 is a consequence of e_1646.
e_1695 is a consequence of e_1646.
e_1658 is a consequence of e_1646.
Substitution of q81 by an expression in 
q22 found in e_1698 : 
     2
q81=----*q22
     11


Step 3488: 
Hot list 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 11 terms

The list of inequalities got extended by: 
An expression with 11 terms

The list of inequalities got extended by: 
An expression with 9 terms

Substitution of q22 found in e_1646 : 
q22=0


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 : 
The list of inequalities got extended by: 
An expression with 8 terms

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 9 terms

q18


Substitution of q20 by an expression in 
q18, p6, p4 found in e_1607 : 11 factors in 3 terms


>>>>>>>>> Solution of level 1.1.1.2.2.1.1.1. : 
no equations


Non-vanishing expressions: q18,p4,p6

          2              3             2                3                2
5*g0282*p4 *p6 - g0282*p6  - 6*g0283*p4 *p6 + 6*g0284*p4  - 6*g0284*p4*p6

             3                2             3              2
 + 3*g0297*p4  - 3*g0297*p4*p6  - 6*g0298*p4  - 12*g0299*p4 *p6


          2                  3                 2                    3
5*g0193*p4 *p6*q18 - g0193*p6 *q18 - 6*g0194*p4 *p6*q18 + 6*g0195*p4 *q18

                2                 3                    2                 3
 - 6*g0195*p4*p6 *q18 + 3*g0208*p4 *q18 - 3*g0208*p4*p6 *q18 - 6*g0209*p4 *q18

              2                     2   2              3
 - 12*g0210*p4 *p6*q18 - 12*g0228*p4 *p6  - 12*g0230*p4 *p6


          2                  3                 2                    3
5*g0112*p4 *p6*q18 - g0112*p6 *q18 - 6*g0113*p4 *p6*q18 + 6*g0114*p4 *q18

                2                 3                    2                 3
 - 6*g0114*p4*p6 *q18 + 3*g0126*p4 *q18 - 3*g0126*p4*p6 *q18 - 6*g0127*p4 *q18

              2                     2   2              3
 - 12*g0128*p4 *p6*q18 - 12*g0143*p4 *p6  - 12*g0144*p4 *p6


                              2                 2               2
2*g0040*p4*p6*q18 - 2*g0041*p4 *q18 + 2*g0041*p6 *q18 - g0054*p4 *q18

           2                 2                                     2
 + g0054*p6 *q18 + 2*g0055*p4 *q18 + 4*g0056*p4*p6*q18 + 4*g0072*p4 *p6


g0319*p6 + g0321*p4


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


         5     2        1     2
      - ----*p4 *q18 + ----*p6 *q18
         12             12
q35=--------------------------------
                    2
                  p4


     1
q34=---*q18
     2


         1    2        1    2
      - ---*p4 *q18 + ---*p6 *q18
         2             2
q33=------------------------------
                p4*p6


q32=0


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


         1    2        1    2
      - ---*p4 *q18 + ---*p6 *q18
         4             4
q20=------------------------------
                p4*p6


      1
     ---*p4*q18
      2
q19=------------
         p6

q18, 
q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, 
p5=0

p4, 
p3=0


p2=0


p1=0


with 99 terms
no equations
3 constants : p4,p6,q18
The equation: 

f =D D f*D f*p4 + D f*f *p6
 t  1 2   1        1   x
The symmetry: 
     1       2             3        1       2          2
f =(---*(D f) *D D f*D f*p4 *q18 + ---*(D f) *D f*f *p4 *p6*q18
 s   2    2     1 2   1             2    2     1   x

                      2   2           1           2      3
     + D f*D D f*(D f) *p4 *p6*q18 - ---*D f*(D f) *f *p4 *q18
        2   1 2    1                  2   2    1     x

        1           2         2        1             3   3
     + ---*D f*(D f) *f *p4*p6 *q18 - ---*D D f*(D f) *p4 *q18
        2   2    1     x               4   1 2    1

        1             3      2        5        3      2
     + ---*D D f*(D f) *p4*p6 *q18 - ----*(D f) *f *p4 *p6*q18
        4   1 2    1                  12    1     x

        1        3      3         2
     + ----*(D f) *f *p6 *q18)/(p4 *p6)
        12    1     x
And now in machine readable form:

The system: 

df(f(1),t)=d(1,d(2,f(1)))*d(1,f(1))*p4 + d(1,f(1))*df(f(1),x)*p6$
The symmetry: 
df(f(1),s)=(1/2*d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1))*p4**3*q18 + 1/2*d(2,f(1))
**2*d(1,f(1))*df(f(1),x)*p4**2*p6*q18 + d(2,f(1))*d(1,d(2,f(1)))*d(1,f(1))**2*p4
**2*p6*q18 - 1/2*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4**3*q18 + 1/2*d(2,f(1))*d(1
,f(1))**2*df(f(1),x)*p4*p6**2*q18 - 1/4*d(1,d(2,f(1)))*d(1,f(1))**3*p4**3*q18 + 
1/4*d(1,d(2,f(1)))*d(1,f(1))**3*p4*p6**2*q18 - 5/12*d(1,f(1))**3*df(f(1),x)*p4**
2*p6*q18 + 1/12*d(1,f(1))**3*df(f(1),x)*p6**3*q18)/(p4**2*p6)$

Back to level : 1.1.1.2.2.1.1.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p5


New level : 1.1.1.2.2.1.1.2.
CRACK is now called with the new equation e_1629 : 
0=3*q22 - 4*q81


Step 3490: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 28 terms

The list of inequalities got extended by: 
An expression with 34 terms

The list of inequalities got extended by: 
An expression with 31 terms

e_1646 is a consequence of e_1368.
Substitution of q81 by an expression in 
q22 found in e_1629 : 
     3
q81=---*q22
     4


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

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

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 1 term

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 1 term

Step 3498: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3499: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_1297 is a consequence of e_1656.
Step 3500: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3501: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3502: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3503: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3504: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3505: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3506: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3507: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3508: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_1368 we get the alternative equations : 
0=p4 - 3*p5


0=q22


New level : 1.1.1.2.2.1.1.2.1.
CRACK is now called with the new equation e_1532 : 
0=p4 - 3*p5


Step 3509: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 27 terms

The list of inequalities got extended by: 
An expression with 24 terms
e_1533,e_1576,e_1369,e_1632,e_1712,e_1309,e_1475,e_1656,e_1663,e_1668,e_1503,
e_1002,e_1584,e_1698 are consequences of e_1691

Substitution of p4 by an expression in 
p5 found in e_1532 : 
p4=3*p5


Step 3510: 
Hot list 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 11 terms

The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 11 terms

Substitution of q22 found in e_1691 : 
q22=0


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 : 
The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 11 terms
*** Garbage collection starting 
*** GC 2452 31-Oct-2003 21:08:29, 20 ms (0%), 1195961 occupied, 23803989 free

The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 10 terms

q18


Substitution of q20 by an expression in 
q18, p5, p6 found in e_1540 : 11 factors in 3 terms


>>>>>>>>> Solution of level 1.1.1.2.2.1.1.2.1. : 
no equations


Non-vanishing expressions: q18,p4,p5,p6

           2              3              2                  3                 2
54*g0282*p5 *p6 - g0282*p6  - 84*g0283*p5 *p6 + 252*g0284*p5  - 21*g0284*p5*p6

              3               3                2               3
 - 28*g0285*p5  + 108*g0297*p5  - 9*g0297*p5*p6  - 252*g0298*p5

               2
 - 126*g0299*p5 *p6


           2                  3                  2                      3
54*g0193*p5 *p6*q18 - g0193*p6 *q18 - 84*g0194*p5 *p6*q18 + 252*g0195*p5 *q18

                 2                  3                   3
 - 21*g0195*p5*p6 *q18 - 28*g0196*p5 *q18 + 108*g0208*p5 *q18

                2                   3                   2
 - 9*g0208*p5*p6 *q18 - 252*g0209*p5 *q18 - 126*g0210*p5 *p6*q18

               2   2               3                  3
 - 126*g0228*p5 *p6  - 126*g0229*p5 *p6 - 378*g0230*p5 *p6


           2                  3                  2                      3
54*g0112*p5 *p6*q18 - g0112*p6 *q18 - 84*g0113*p5 *p6*q18 + 252*g0114*p5 *q18

                 2                   3                    2
 - 21*g0114*p5*p6 *q18 + 108*g0126*p5 *q18 - 9*g0126*p5*p6 *q18

               3                   2                      2   2
 - 252*g0127*p5 *q18 - 126*g0128*p5 *p6*q18 - 126*g0143*p5 *p6

               3
 - 378*g0144*p5 *p6


                                 2                  2                  2
84*g0040*p5*p6*q18 - 252*g0041*p5 *q18 + 21*g0041*p6 *q18 + 28*g0042*p5 *q18

               2                 2                   2
 - 108*g0054*p5 *q18 + 9*g0054*p6 *q18 + 252*g0055*p5 *q18 + 126*g0056*p5*p6*q18

               2                  2
 + 126*g0071*p5 *p6 + 378*g0072*p5 *p6


g0319*p6 + g0320*p5 + 3*g0321*p5


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


         3    2         1     2
      - ---*p5 *q18 + -----*p6 *q18
         7             126
q35=--------------------------------
                    2
                  p5


     2
q34=---*q18
     3


            2        1    2
      - 2*p5 *q18 + ---*p6 *q18
                     6
q33=----------------------------
               p5*p6


      2
     ---*p5*q18
      9
q32=------------
         p6


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


         6    2        1     2
      - ---*p5 *q18 + ----*p6 *q18
         7             14
q20=-------------------------------
                 p5*p6


     2*p5*q18
q19=----------
        p6

q18, 
q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, p5, 
p4=3*p5


p3=0


p2=0


p1=0


with 101 terms
no equations
3 constants : p5,p6,q18
The equation: 

f =D f*f *p5 + 3*D D f*D f*p5 + D f*f *p6
 t  2   x         1 2   1        1   x
The symmetry: 
     2       3      3              2             3
f =(---*(D f) *f *p5 *q18 + 2*(D f) *D D f*D f*p5 *q18
 s   9    2     x               2     1 2   1

        2       2          2                         2   2
     + ---*(D f) *D f*f *p5 *p6*q18 + D f*D D f*(D f) *p5 *p6*q18
        3    2     1   x               2   1 2    1

                  2      3        1           2         2
     - 2*D f*(D f) *f *p5 *q18 + ---*D f*(D f) *f *p5*p6 *q18
          2    1     x            6   2    1     x

        6             3   3        1              3      2
     - ---*D D f*(D f) *p5 *q18 + ----*D D f*(D f) *p5*p6 *q18
        7   1 2    1               14   1 2    1

        3       3      2            1        3      3         2
     - ---*(D f) *f *p5 *p6*q18 + -----*(D f) *f *p6 *q18)/(p5 *p6)
        7    1     x               126    1     x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + 3*d(1,d(2,f(1)))*d(1,f(1))*p5 + d(1,f(1))*
df(f(1),x)*p6$
The symmetry: 
df(f(1),s)=(2/9*d(2,f(1))**3*df(f(1),x)*p5**3*q18 + 2*d(2,f(1))**2*d(1,d(2,f(1))
)*d(1,f(1))*p5**3*q18 + 2/3*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p5**2*p6*q18 + d(2
,f(1))*d(1,d(2,f(1)))*d(1,f(1))**2*p5**2*p6*q18 - 2*d(2,f(1))*d(1,f(1))**2*df(f(
1),x)*p5**3*q18 + 1/6*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p5*p6**2*q18 - 6/7*d(1,d
(2,f(1)))*d(1,f(1))**3*p5**3*q18 + 1/14*d(1,d(2,f(1)))*d(1,f(1))**3*p5*p6**2*q18
 - 3/7*d(1,f(1))**3*df(f(1),x)*p5**2*p6*q18 + 1/126*d(1,f(1))**3*df(f(1),x)*p6**
3*q18)/(p5**2*p6)$

Back to level : 1.1.1.2.2.1.1.2.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p4 - 3*p5


New level : 1.1.1.2.2.1.1.2.2.
CRACK is now called with the new equation e_1532 : 
0=q22

e_1533,e_1576,e_1369,e_1632,e_1712,e_1309,e_1475,e_1656,e_1663,e_1668,e_1503,
e_1002,e_1584,e_1698,e_1538 are consequences of e_1532

Step 3512: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 15 terms

The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 15 terms

Substitution of q22 found in e_1532 : 
q22=0


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases :  --- 
Do one decoupling step :  --- 
Any factorization :  --- 
Substitution of <=1000 terms : 
for the substitution of q20 by e_861 we have to consider the case 0=e_1507: 
0=2*p6*(2*p4 + p5)

The coefficient to be set = 0 in the first subcase is:

e_1507 : 
0=2*p4 + p5


New level : 1.1.1.2.2.1.1.2.2.1.
Step 3514: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 
An expression with 7 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

The list of inequalities got extended by: 
An expression with 7 terms

Substitution of p4 by an expression in 
p5 found in e_1507 : 
       1
p4= - ---*p5
       2


Step 3515: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases :  --- 
Do one decoupling step :  --- 
Any factorization : 
factorizing e_1660 we get the alternative equations : 
    2       2
0=p5  + 4*p6


0=q18


New level : 1.1.1.2.2.1.1.2.2.1.1.
CRACK is now called with the new equation e_1371 : 
    2       2
0=p5  + 4*p6


Step 3516: 
Hot list of urgent steps : 
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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases :  --- 
Do one decoupling step :  --- 
Any factorization :  --- 
Substitution of <=1000 terms :  --- 


>>>>>>>>> Solution of level 1.1.1.2.2.1.1.2.2.1.1. : 
equations : 

e_1371 : 
    2       2
0=p5  + 4*p6



Non-vanishing expressions: p4,p6,p5

        2                                     2
g0282*p5 *q18 + 2*g0282*p5*p6*q20 - 6*g0283*p6 *q18 - 2*g0285*p5*p6*q18

             2                                     2
 - 3*g0297*p5 *q20 + 3*g0298*p5*p6*q18 - 3*g0299*p5 *q18


          2                                      2
2*g0193*p5 *q18 + 4*g0193*p5*p6*q20 - 12*g0194*p6 *q18 - 4*g0196*p5*p6*q18

             2                                     2                 2
 - 6*g0208*p5 *q20 + 6*g0209*p5*p6*q18 - 6*g0210*p5 *q18 - 6*g0228*p5 *p6

             3             3
 - 6*g0229*p5  + 3*g0230*p5


          2                                      2                 2
2*g0112*p5 *q18 + 4*g0112*p5*p6*q20 - 12*g0113*p6 *q18 - 6*g0126*p5 *q20

                                 2                 2                3
 + 6*g0127*p5*p6*q18 - 6*g0128*p5 *q18 - 6*g0143*p5 *p6 + 3*g0144*p5


           2                                     2
12*g0040*p6 *q18 + 4*g0042*p5*p6*q18 + 6*g0054*p5 *q20 - 6*g0055*p5*p6*q18

             2                 3             3
 + 6*g0056*p5 *q18 + 6*g0071*p5  - 3*g0072*p5


2*g0319*p6 + 2*g0320*p5 - g0321*p5


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


         1            2
      - ---*p5*q18 - ---*p6*q20
         3            3
q35=----------------------------
                 p5


         2
     2*p6 *q18
q34=-----------
          2
        p5


q33=0


      2
     ---*p6*q18
      3
q32=------------
         p5


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0

q20, 
      - p6*q18
q19=-----------
        p5

q18, 
q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, p5, 
       1
p4= - ---*p5
       2


p3=0


p2=0


p1=0


with 97 terms
number of equations : 1
total no of terms   : 2
total no of factors :  4
1 equation in 0 variables: 
e_1371(2a)
4 constants : p5,p6,q18,q20
The equation: 

                1
f =D f*f *p5 - ---*D D f*D f*p5 + D f*f *p6
 t  2   x       2   1 2   1        1   x
The symmetry: 
     2       3                     2
f =(---*(D f) *f *p5*p6*q18 - (D f) *D D f*D f*p5*p6*q18
 s   3    2     x               2     1 2   1

              2          2                      2   2                  3   2
     + 2*(D f) *D f*f *p6 *q18 + D f*D D f*(D f) *p5 *q18 + D D f*(D f) *p5 *q20
           2     1   x            2   1 2    1               1 2    1

        1       3      2        2       3                 2
     - ---*(D f) *f *p5 *q18 - ---*(D f) *f *p5*p6*q20)/p5
        3    1     x            3    1     x
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 - 1/2*d(1,d(2,f(1)))*d(1,f(1))*p5 + d(1,f(1))
*df(f(1),x)*p6$
The symmetry: 
df(f(1),s)=(2/3*d(2,f(1))**3*df(f(1),x)*p5*p6*q18 - d(2,f(1))**2*d(1,d(2,f(1)))*
d(1,f(1))*p5*p6*q18 + 2*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p6**2*q18 + d(2,f(1))*
d(1,d(2,f(1)))*d(1,f(1))**2*p5**2*q18 + d(1,d(2,f(1)))*d(1,f(1))**3*p5**2*q20 - 
1/3*d(1,f(1))**3*df(f(1),x)*p5**2*q18 - 2/3*d(1,f(1))**3*df(f(1),x)*p5*p6*q20)/
p5**2$

Back to level : 1.1.1.2.2.1.1.2.2.1.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

  2       2
p5  + 4*p6


New level : 1.1.1.2.2.1.1.2.2.1.2.
CRACK is now called with the new equation e_1371 : 
0=q18


Step 3518: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 

2*g0282*p6 - 3*g0297*p5


q20

The lexicographical ordering of unknowns is changed
because q20 has to be non-zero, giving q20 a low priority.
Old ordering: q20,q18,p5,p6
New ordering: q18,q20,p5,p6

Substitution of q18 found in e_1371 : 
q18=0



>>>>>>>>> Solution of level 1.1.1.2.2.1.1.2.2.1.2. : 
no equations


Non-vanishing expressions: q20,p5,p6,p4

2*g0282*p6 - 3*g0297*p5


                                                            2             2
4*g0193*p6*q20 - 6*g0208*p5*q20 - 6*g0228*p5*p6 - 6*g0229*p5  + 3*g0230*p5


                                                            2
4*g0112*p6*q20 - 6*g0126*p5*q20 - 6*g0143*p5*p6 + 3*g0144*p5


2*g0054*q20 + 2*g0071*p5 - g0072*p5


2*g0319*p6 + 2*g0320*p5 - g0321*p5


  2       2
p5  + 4*p6


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


         2
      - ---*p6*q20
         3
q35=---------------
          p5


q34=0


q33=0


q32=0


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0

q20, 
q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, p5, 
       1
p4= - ---*p5
       2


p3=0


p2=0


p1=0


with 93 terms
no equations
3 constants : p5,p6,q20
The equation: 

                1
f =D f*f *p5 - ---*D D f*D f*p5 + D f*f *p6
 t  2   x       2   1 2   1        1   x
The symmetry: 
               3           2       3
    D D f*(D f) *p5*q20 - ---*(D f) *f *p6*q20
     1 2    1              3    1     x
f =--------------------------------------------
 s                      p5
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 - 1/2*d(1,d(2,f(1)))*d(1,f(1))*p5 + d(1,f(1))
*df(f(1),x)*p6$
The symmetry: 
df(f(1),s)=(d(1,d(2,f(1)))*d(1,f(1))**3*p5*q20 - 2/3*d(1,f(1))**3*df(f(1),x)*p6*
q20)/p5$

Back to level : 1.1.1.2.2.1.1.2.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.2.1.1.2.2.
Time: 0 ms

Time: 0 ms

Time: 0 ms

New level : 1.1.1.2.2.1.1.2.2.2.
now back to the substitution of q20 by e_861
The list of inequalities got extended by: 

2*p4 + p5


Step 3519: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, 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

The list of inequalities got extended by: 
An expression with 28 terms

The list of inequalities got extended by: 
An expression with 22 terms

q18


Substitution of q20 by an expression in 
q18, p5, p6, p4 found in e_861 : 20 factors in 4 terms


>>>>>>>>> Solution of level 1.1.1.2.2.1.1.2.2.2. : 
no equations


Non-vanishing expressions: q18,p6,p4,p5

          2                                 3             2
5*g0282*p4 *p6 + 3*g0282*p4*p5*p6 - g0282*p6  - 6*g0283*p4 *p6

                                2                3             2
 - 9*g0283*p4*p5*p6 - 3*g0283*p5 *p6 + 6*g0284*p4  + 9*g0284*p4 *p5

                2                2                2             2
 + 3*g0284*p4*p5  - 6*g0284*p4*p6  - 3*g0284*p5*p6  - 2*g0285*p4 *p5

                2           3             3             2                   2
 - 3*g0285*p4*p5  - g0285*p5  + 3*g0297*p4  + 3*g0297*p4 *p5 - 3*g0297*p4*p6

             3             2                   2              2
 - 6*g0298*p4  - 9*g0298*p4 *p5 - 3*g0298*p4*p5  - 12*g0299*p4 *p6

 - 6*g0299*p4*p5*p6

134 factors in 28 terms
111 factors in 23 terms
111 factors in 23 terms

p4 - 3*p5


g0319*p6 + g0320*p5 + g0321*p4


2*p4 + p5


functions : 
q83=0


q82=0


q81=0


q80=0


q79=0


q78=0


q77=0


q76=0


q75=0


q74=0


q73=0


q72=0


q71=0


q70=0


q69=0


q68=0


q67=0


q66=0


q65=0


q64=0


q63=0


q62=0


q61=0


q60=0


q59=0


q58=0


q57=0


q56=0


q55=0


q54=0


q53=0


q52=0


q51=0


q50=0


q49=0


q48=0


q47=0


q46=0


q45=0


q44=0


q43=0


q42=0


q41=0


q40=0


q39=0


q38=0


q37=0


q36=0


         5     2        1               1     2
      - ----*p4 *q18 - ---*p4*p5*q18 + ----*p6 *q18
         12             4               12
q35=------------------------------------------------
                      2    1
                    p4  + ---*p4*p5
                           2


      1            1
     ---*p4*q18 + ---*p5*q18
      2            2
q34=-------------------------
               p4


         1    2        1               1    2
      - ---*p4 *q18 - ---*p4*p5*q18 + ---*p6 *q18
         2             2               2
q33=----------------------------------------------
                        p4*p6


      1               1    2
     ---*p4*p5*q18 + ---*p5 *q18
      6               6
q32=-----------------------------
                p4*p6


q31=0


q30=0


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0


q21=0


         1    2        1               1    2
      - ---*p4 *q18 - ---*p4*p5*q18 + ---*p6 *q18
         4             4               4
q20=----------------------------------------------
                           1
                  p4*p6 + ---*p5*p6
                           2


      1            1
     ---*p4*q18 + ---*p5*q18
      2            2
q19=-------------------------
               p6

q18, 
q17=0


q16=0


q15=0


q14=0


q13=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p8=0


p7=0

p6, p5, p4, 
p3=0


p2=0


p1=0


with 106 terms
no equations
4 constants : p4,p5,p6,q18
The equation: 

f =D f*f *p5 + D D f*D f*p4 + D f*f *p6
 t  2   x       1 2   1        1   x
The symmetry: 
     1       3      2           1       3         2        1        3      3
f =(---*(D f) *f *p4 *p5*q18 + ---*(D f) *f *p4*p5 *q18 + ----*(D f) *f *p5 *q18
 s   6    2     x               4    2     x               12    2     x

        1       2             3        3       2             2
     + ---*(D f) *D D f*D f*p4 *q18 + ---*(D f) *D D f*D f*p4 *p5*q18
        2    2     1 2   1             4    2     1 2   1

        1       2                2        1       2          2
     + ---*(D f) *D D f*D f*p4*p5 *q18 + ---*(D f) *D f*f *p4 *p6*q18
        4    2     1 2   1                2    2     1   x

        3       2                        1       2          2
     + ---*(D f) *D f*f *p4*p5*p6*q18 + ---*(D f) *D f*f *p5 *p6*q18
        4    2     1   x                 4    2     1   x

                      2   2           1                 2
     + D f*D D f*(D f) *p4 *p6*q18 + ---*D f*D D f*(D f) *p4*p5*p6*q18
        2   1 2    1                  2   2   1 2    1

        1           2      3        3           2      2
     - ---*D f*(D f) *f *p4 *q18 - ---*D f*(D f) *f *p4 *p5*q18
        2   2    1     x            4   2    1     x

        1           2         2        1           2         2
     - ---*D f*(D f) *f *p4*p5 *q18 + ---*D f*(D f) *f *p4*p6 *q18
        4   2    1     x               2   2    1     x

        1           2         2        1             3   3
     + ---*D f*(D f) *f *p5*p6 *q18 - ---*D D f*(D f) *p4 *q18
        4   2    1     x               4   1 2    1

        1             3   2           1             3      2
     - ---*D D f*(D f) *p4 *p5*q18 + ---*D D f*(D f) *p4*p6 *q18
        4   1 2    1                  4   1 2    1

        5        3      2           1       3
     - ----*(D f) *f *p4 *p6*q18 - ---*(D f) *f *p4*p5*p6*q18
        12    1     x               4    1     x

        1        3      3         2       1
     + ----*(D f) *f *p6 *q18)/(p4 *p6 + ---*p4*p5*p6)
        12    1     x                     2
And now in machine readable form:

The system: 

df(f(1),t)=d(2,f(1))*df(f(1),x)*p5 + d(1,d(2,f(1)))*d(1,f(1))*p4 + d(1,f(1))*df(
f(1),x)*p6$
The symmetry: 
df(f(1),s)=(1/6*d(2,f(1))**3*df(f(1),x)*p4**2*p5*q18 + 1/4*d(2,f(1))**3*df(f(1),
x)*p4*p5**2*q18 + 1/12*d(2,f(1))**3*df(f(1),x)*p5**3*q18 + 1/2*d(2,f(1))**2*d(1,
d(2,f(1)))*d(1,f(1))*p4**3*q18 + 3/4*d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1))*p4**2
*p5*q18 + 1/4*d(2,f(1))**2*d(1,d(2,f(1)))*d(1,f(1))*p4*p5**2*q18 + 1/2*d(2,f(1))
**2*d(1,f(1))*df(f(1),x)*p4**2*p6*q18 + 3/4*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p4
*p5*p6*q18 + 1/4*d(2,f(1))**2*d(1,f(1))*df(f(1),x)*p5**2*p6*q18 + d(2,f(1))*d(1,
d(2,f(1)))*d(1,f(1))**2*p4**2*p6*q18 + 1/2*d(2,f(1))*d(1,d(2,f(1)))*d(1,f(1))**2
*p4*p5*p6*q18 - 1/2*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4**3*q18 - 3/4*d(2,f(1))*
d(1,f(1))**2*df(f(1),x)*p4**2*p5*q18 - 1/4*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4*
p5**2*q18 + 1/2*d(2,f(1))*d(1,f(1))**2*df(f(1),x)*p4*p6**2*q18 + 1/4*d(2,f(1))*d
(1,f(1))**2*df(f(1),x)*p5*p6**2*q18 - 1/4*d(1,d(2,f(1)))*d(1,f(1))**3*p4**3*q18 
- 1/4*d(1,d(2,f(1)))*d(1,f(1))**3*p4**2*p5*q18 + 1/4*d(1,d(2,f(1)))*d(1,f(1))**3
*p4*p6**2*q18 - 5/12*d(1,f(1))**3*df(f(1),x)*p4**2*p6*q18 - 1/4*d(1,f(1))**3*df(
f(1),x)*p4*p5*p6*q18 + 1/12*d(1,f(1))**3*df(f(1),x)*p6**3*q18)/(p4**2*p6 + 1/2*
p4*p5*p6)$

Back to level : 1.1.1.2.2.1.1.2.2.
Back to level : 1.1.1.2.2.1.1.2.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.2.1.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.2.1.
Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q81,q22,q20,q18,p8,p5,p6,p4
New ordering: q81,q22,q20,q18,p5,p8,p6,p4

New level : 1.1.1.2.2.1.2.
CRACK is now called with the new equation e_1543 : 
0=q81

e_1626,e_1625 are consequences of e_1543

Step 3520: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 78 terms

e_1629 is a consequence of e_1630.e_1368 is a consequence of e_1629

e_1584 is a consequence of e_1630.
e_1645 is a consequence of e_1630.
e_1698 is a consequence of e_1630.
e_1538 is a consequence of e_1630.
e_1646 is a consequence of e_1630.
e_1649 is a consequence of e_1630.
e_1136 is a consequence of e_1630.
e_1621 is a consequence of e_1630.
e_1700 is a consequence of e_1630.
e_1607 is a consequence of e_1630.
e_1658 is a consequence of e_1630.
e_1695 is a consequence of e_1630.
e_1662 is a consequence of e_1630.
e_1324 is a consequence of e_1630.
Substitution of q81 found in e_1543 : 
q81=0


Step 3521: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 40 terms

The list of inequalities got extended by: 
An expression with 37 terms

e_1277 is a consequence of e_1677.
Substitution of q18 found in e_1676 : 
q18=0


Step 3522: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 15 terms

q20


Substitution of q22 found in e_1630 : 
q22=0


Step 3523: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q20=0

because of the non-vanishing expression:
q20


Back to level : 1.1.1.2.2.1.
This completes the investigation of all cases of a factorization.

Back to level : 1.1.1.2.2.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q81,q74,q72,q71,q69,q68,q67,q66,q65,q64,q63,q61,q60,q56,q54,q53,
q52,q51,q48,q47,q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q29,q28,q27,q26,q25,
q24,q23,q22,q21,q20,q18,p8,p7,p5,p6,p4
New ordering: q81,q74,q72,q71,q69,q68,q67,q66,q65,q64,q63,q61,q60,q56,q54,q53,
q52,q51,q48,q47,q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q29,q28,q27,q26,q25,
q24,q23,q22,q21,q20,q18,p8,p5,p7,p6,p4

New level : 1.1.1.2.2.2.
CRACK is now called with the new equation e_1523 : 11 factors in 5 terms

Step 3524: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 93 terms

Substitution of q72 by an expression in 
q43, q42, q29, q25, p7, p6 found in e_1523 : 10 factors in 5 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 : 
*** Garbage collection starting 
*** GC 2453 31-Oct-2003 21:08:31, 40 ms (0%), 1400865 occupied, 23599084 free

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q63 by an expression in 
q53, q47, q40, q27, p8, p7 found in e_1076 : 14 factors in 5 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2454 31-Oct-2003 21:08:32, 30 ms (0%), 1516115 occupied, 23483798 free
Eliminate 
q40

from e_1438 and e_1465. e_1465: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p5,p7,p6,p4 ,p4)

is replaced by e_1545: 
(#) 6 terms, 9 factors, with derivatives of functions of all variables: 

           2            2
 (q18,p8,p5 ,p5,p7,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2455 31-Oct-2003 21:08:33, 40 ms (0%), 1623033 occupied, 23376807 free
Eliminate 
q40

from e_1438 and e_1466. e_1466: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p5,p7,p6,p4 ,p4)

is replaced by e_1547: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

               2            2
 (q27,q18,p8,p5 ,p5,p7,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2456 31-Oct-2003 21:08:34, 40 ms (0%), 1514036 occupied, 23485868 free
*** Garbage collection starting 
*** GC 2457 31-Oct-2003 21:08:35, 40 ms (0%), 1630772 occupied, 23369043 free
Eliminate 
q40

from e_1438 and e_1467. e_1467: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                            2
 (q40,q27,q18,p8,p5,p7,p6,p4 ,p4)

is replaced by e_1548: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

               2            2
 (q27,q18,p8,p5 ,p5,p7,p6,p4 ,p4)


e_1548 is a consequence of e_1547.
Step 3529: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2458 31-Oct-2003 21:08:36, 40 ms (0%), 1525913 occupied, 23473982 free
*** Garbage collection starting 
*** GC 2459 31-Oct-2003 21:08:37, 30 ms (0%), 1412145 occupied, 23587798 free
*** Garbage collection starting 
*** GC 2460 31-Oct-2003 21:08:38, 50 ms (0%), 1564141 occupied, 23435759 free
*** Garbage collection starting 
*** GC 2461 31-Oct-2003 21:08:39, 40 ms (0%), 1460957 occupied, 23538967 free
*** Garbage collection starting 
*** GC 2462 31-Oct-2003 21:08:40, 40 ms (0%), 1596243 occupied, 23403656 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1013 we get the alternative equations : 
0=p5

14 factors in 4 terms

New level : 1.1.1.2.2.2.1.
CRACK is now called with the new equation e_1554 : 
0=p5

e_1463 is a consequence of e_1554

Step 3530: 
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 67 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 84 terms

e_1565 is a consequence of e_1564.
e_1569 is a consequence of e_1555.
e_1572 is a consequence of e_1564.
e_1599 is a consequence of e_1555.
*** Garbage collection starting 
*** GC 2463 31-Oct-2003 21:08:41, 30 ms (0%), 1448409 occupied, 23551539 free

Substitution of p5 found in e_1554 : 
p5=0


Step 3531: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 83 terms

e_1578 is a consequence of e_1579.
e_1581 is a consequence of e_1555.
Substitution of q21 found in e_1564 : 
q21=0


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 : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 85 terms
*** Garbage collection starting 
*** GC 2464 31-Oct-2003 21:08:42, 40 ms (0%), 1454151 occupied, 23545792 free

Substitution of q47 by an expression in 
q40, q36 found in e_1579 : 
q47= - 2*q36 - q40


Step 3533: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 83 terms

Substitution of q22 found in e_1585 : 
q22=0


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 : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 83 terms
*** Garbage collection starting 
*** GC 2465 31-Oct-2003 21:08:44, 40 ms (0%), 1459847 occupied, 23540102 free

Substitution of q20 by an expression in 
q18, p6, p4 found in e_1563 : 11 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 86 terms

Substitution of q27 by an expression in 
q18, p8, p7, p6, p4 found in e_1576 : 13 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 69 terms
*** Garbage collection starting 
*** GC 2466 31-Oct-2003 21:08:45, 40 ms (0%), 1499329 occupied, 23500612 free

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 84 terms

Substitution of q42 by an expression in 
q71, q25, p8, p7, p6 found in e_1595 : 7 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 84 terms
*** Garbage collection starting 
*** GC 2467 31-Oct-2003 21:08:46, 40 ms (0%), 1470641 occupied, 23529305 free

e_1608 is a consequence of e_1634.
Substitution of q40 by an expression in 
q18, p8, p7, p6, p4 found in e_1558 : 13 factors in 3 terms

Step 3538: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 81 terms
*** Garbage collection starting 
*** GC 2468 31-Oct-2003 21:08:48, 40 ms (0%), 1471039 occupied, 23528909 free

Substitution of q36 by an expression in 
q18, p8, p6 found in e_1590 : 
      - 2*p8*q18
q36=-------------
         p6


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 : 
The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 69 terms
*** Garbage collection starting 
*** GC 2469 31-Oct-2003 21:08:49, 40 ms (0%), 1471097 occupied, 23528849 free

Substitution of q81 by an expression in 
q25, q18, p8, p7, p6 found in e_1628 : 11 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 72 terms

e_1656 is a consequence of e_1555.
*** Garbage collection starting 
*** GC 2470 31-Oct-2003 21:08:50, 40 ms (0%), 1478467 occupied, 23521480 free

Substitution of q25 by an expression in 
q18, p8, p7, p6, p4 found in e_1617 : 12 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 73 terms

e_1639 is a consequence of e_1611.
Substitution of q37 by an expression in 
q18, p8, p7, p6, p4 found in e_1630 : 11 factors in 3 terms

Step 3542: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 76 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 92 terms

Substitution of q74 by an expression in 
q71, q43, q29, q28, p6, p4 found in e_1561 : 11 factors in 5 terms

Step 3543: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 94 terms

The list of inequalities got extended by: 
An expression with 89 terms
*** Garbage collection starting 
*** GC 2471 31-Oct-2003 21:08:51, 40 ms (0%), 1486425 occupied, 23513518 free

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1562 : 8 factors in 4 terms

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
e_1598,e_1568,e_1648,e_1580,e_1716,e_1589,e_1555,e_1570,e_1625,e_1557
 are consequences of e_1746

Step 3545: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 47 terms

The list of inequalities got extended by: 
An expression with 38 terms

e_1607 is a consequence of e_1694.
e_1560 is a consequence of e_1694.
e_1634 is a consequence of e_1694.
e_1588 is a consequence of e_1559.
e_1691 is a consequence of e_1559.
e_1597 is a consequence of e_1694.
e_1655 is a consequence of e_1694.
e_1723 is a consequence of e_1574.
e_1631 is a consequence of e_1559.
e_1633 is a consequence of e_1694.
e_1651 is a consequence of e_1694.
e_1584 is a consequence of e_1594.
e_1577 is a consequence of e_1616.
e_1632 is a consequence of e_1616.
Substitution of q18 found in e_1746 : 
q18=0


Step 3546: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q37 found in e_1630 : 
q37=0


Step 3547: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q25 found in e_1617 : 
q25=0


Step 3548: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q40 found in e_1558 : 
q40=0


Step 3549: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q81 found in e_1628 : 
q81=0


Step 3550: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 41 terms

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1663 is a consequence of e_1559.
e_1616 is a consequence of e_1559.
e_1594 is a consequence of e_1559.
e_1670 is a consequence of e_1559.
*** Garbage collection starting 
*** GC 2472 31-Oct-2003 21:08:53, 30 ms (0%), 1432715 occupied, 23567232 free

e_1668 is a consequence of e_1646.
Substitution of q53 found in e_1694 : 
q53=0


Step 3551: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1592 is a consequence of e_1575.
Substitution of q23 found in e_1574 : 
q23=0


Step 3552: 
Hot list 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 47 terms

The list of inequalities got extended by: 
An expression with 42 terms

Substitution of q54 found in e_1587 : 
q54=0


Step 3553: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q63 found in e_1717 : 
q63=0


Step 3554: 
Hot list 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 46 terms

The list of inequalities got extended by: 
An expression with 37 terms

e_1567 is a consequence of e_1586.
e_1615 is a consequence of e_1612.
Substitution of q38 found in e_1575 : 
q38=0


Step 3555: 
Hot list 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 40 terms

The list of inequalities got extended by: 
An expression with 45 terms

The list of inequalities got extended by: 
An expression with 36 terms

e_1726 is a consequence of e_1586.
e_1611 is a consequence of e_1586.
e_1660 is a consequence of e_1586.
e_1623 is a consequence of e_1586.
e_1643 is a consequence of e_1559.
Substitution of q56 found in e_1601 : 
q56=0


Step 3556: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 43 terms
*** Garbage collection starting 
*** GC 2473 31-Oct-2003 21:08:55, 30 ms (0%), 1427613 occupied, 23572335 free

The list of inequalities got extended by: 
An expression with 34 terms

e_1672 is a consequence of e_1559.
e_1664 is a consequence of e_1559.
Substitution of q48 found in e_1586 : 
q48=0


Step 3557: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1665 is a consequence of e_1559.
e_1682 is a consequence of e_1559.
e_1662 is a consequence of e_1559.
Substitution of q45 by an expression in 
q29 found in e_1647 : 
q45= - q29


Step 3558: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1621 is a consequence of e_1730.
Substitution of q67 by an expression in 
q52 found in e_1583 : 
q67=q52


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 : 
The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 35 terms

Substitution of q64 by an expression in 
q41, q24 found in e_1573 : 7 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 35 terms

e_1620 is a consequence of e_1705.
e_1688 is a consequence of e_1559.
Substitution of q26 by an expression in 
q24, p6, p4 found in e_1661 : 
      - p6*q24
q26=-----------
        p4


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 : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1627 is a consequence of e_1612.
e_1649 is a consequence of e_1559.
*** Garbage collection starting 
*** GC 2474 31-Oct-2003 21:08:56, 40 ms (0%), 1416209 occupied, 23583739 free

e_1629 is a consequence of e_1652.
Substitution of q39 by an expression in 
q24, p6, p4 found in e_1705 : 
     p6*q24
q39=--------
       p4


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 : 
The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1718 is a consequence of e_1602.
Substitution of q41 by an expression in 
q24, p6, p4 found in e_1612 : 
          2
      - p6 *q24
q41=------------
          2
        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 : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1602 is a consequence of e_1559.
e_1696 is a consequence of e_1559.
e_1619 is a consequence of e_1559.
e_1604 is a consequence of e_1559.
e_1603 is a consequence of e_1559.
e_1613 is a consequence of e_1559.
e_1652 is a consequence of e_1559.
e_1614 is a consequence of e_1559.
Substitution of q24 by an expression in 
q71, p8, p7, p4 found in e_1697 : 7 factors in 2 terms

Step 3564: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 42 terms

The list of inequalities got extended by: 
An expression with 33 terms

Substitution of q29 by an expression in 
q68, p8, p7 found in e_1636 : 
      - p8*q68
q29=-----------
        p7


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 : 
*** Garbage collection starting 
*** GC 2475 31-Oct-2003 21:08:58, 30 ms (0%), 1410103 occupied, 23589846 free

The list of inequalities got extended by: 
An expression with 30 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 43 terms

The list of inequalities got extended by: 
An expression with 34 terms

e_1710 is a consequence of e_1671.
Substitution of q69 by an expression in 
q71, q46, p8, p7, p6, p4 found in e_1637 : 11 factors in 3 terms

Step 3566: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 44 terms

Substitution of q51 by an expression in 
q71, q46, p8, p7, p6, p4 found in e_1679 : 11 factors in 3 terms

Step 3567: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 32 terms

The list of inequalities got extended by: 
An expression with 40 terms

The list of inequalities got extended by: 
An expression with 45 terms

e_1669 is a consequence of e_1559.
Substitution of q60 by an expression in 
q71, q68, p8, p7 found in e_1683 : 8 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 41 terms

The list of inequalities got extended by: 
An expression with 46 terms

e_1712 is a consequence of e_1699.
Substitution of q65 by an expression in 
q71, q46, p8, p7 found in e_1641 : 8 factors in 3 terms

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
e_1596,e_1618,e_1566,e_1571,e_1606,e_1593,e_1559 are consequences of e_1549

Step 3570: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1704 is a consequence of e_1706.
e_1678 is a consequence of e_1582.
e_1666 is a consequence of e_1582.
e_1681 is a consequence of e_1706.
e_1642 is a consequence of e_1610.
e_1644 is a consequence of e_1635.
e_1727 is a consequence of e_1635.
e_1728 is a consequence of e_1635.
e_1701 is a consequence of e_1609.
e_1640 is a consequence of e_1708.
e_1622 is a consequence of e_1708.
e_1675 is a consequence of e_1708.
e_1721 is a consequence of e_1650.
e_1600 is a consequence of e_1687.
Substitution of q71 found in e_1549 : 
q71=0


Step 3571: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1680 is a consequence of e_1689.
e_1657 is a consequence of e_1646.
e_1671 is a consequence of e_1709.
e_1677 is a consequence of e_1676.
e_1659 is a consequence of e_1706.
e_1638 is a consequence of e_1610.
e_1685 is a consequence of e_1686.
*** Garbage collection starting 
*** GC 2476 31-Oct-2003 21:08:59, 30 ms (0%), 1392009 occupied, 23607938 free

Substitution of q68 by an expression in 
q46 found in e_1582 : 
q68=q46


Step 3572: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1523 is a consequence of e_1722.
e_1711 is a consequence of e_1709.
e_1699 is a consequence of e_1709.
e_1654 is a consequence of e_1719.
e_1703 is a consequence of e_1707.
e_1542 is a consequence of e_1658.
Substitution of q61 by an expression in 
q46 found in e_1684 : 
q61= - q46


Step 3573: 
Hot list 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 25 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1658 is a consequence of e_1708.
e_1700 is a consequence of e_1708.
Substitution of q66 by an expression in 
q52 found in e_1722 : 
q66= - q52


Step 3574: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 26 terms

e_1729 is a consequence of e_1708.
e_1610 is a consequence of e_1646.
e_1719 is a consequence of e_1687.
e_1674 is a consequence of e_1708.
e_1698 is a consequence of e_1702.
e_1609 is a consequence of e_1702.
e_1693 is a consequence of e_1635.
e_1733 is a consequence of e_1646.
e_1673 is a consequence of e_1646.
e_1667 is a consequence of e_1646.
Substitution of q28 by an expression in 
q46, p8, p7, p6, p4 found in e_1720 : 
      - p4*p8*q46
q28=--------------
        p6*p7


Step 3575: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 19 terms

e_1646 is a consequence of e_1653.
e_1591 is a consequence of e_1653.
e_1690 is a consequence of e_1687.
e_1731 is a consequence of e_1653.
e_1736 is a consequence of e_1653.
e_1738 is a consequence of e_1653.
e_1735 is a consequence of e_1653.
e_1737 is a consequence of e_1653.
Substitution of q43 found in e_1635 : 
q43=0


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 : 
e_1686 is a consequence of e_1653.
e_1695 is a consequence of e_1708.
Substitution of q74 by an expression in 
q46, p8, p7, p6, p4 found in e_1561 : 
      - p4*p8*q46
q74=--------------
        p6*p7


Step 3577: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

q46


The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 

q52


The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 17 terms

e_1708 is a consequence of e_1709.
Substitution of q52 by an expression in 
q46, p6, p4 found in e_1689 : 
     p4*q46
q52=--------
       p6


Step 3578: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p8=0

because of the non-vanishing expression:
p8


The list of inequalities got extended by: 
An expression with 11 terms

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q46,p8,p7,p6,p4
New ordering: q46,p8,p6,p4,p7

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q46,p8,p6,p4,p7
New ordering: q46,p6,p4,p8,p7

The list of inequalities got extended by: 
An expression with 9 terms

Back to level : 1.1.1.2.2.2.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p5


New level : 1.1.1.2.2.2.2.
CRACK is now called with the new equation e_1554 : 14 factors in 4 terms

Step 3579: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 100 terms

The list of inequalities got extended by: 
An expression with 104 terms
*** Garbage collection starting 
*** GC 2477 31-Oct-2003 21:09:01, 40 ms (0%), 1356098 occupied, 23643851 free

Substitution of q47 by an expression in 
q20, q18, p8, p5, p6, p4 found in e_1554 : 13 factors in 4 terms

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 : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 106 terms
*** Garbage collection starting 
*** GC 2478 31-Oct-2003 21:09:02, 30 ms (0%), 1413082 occupied, 23586866 free

Substitution of q53 by an expression in 
q18, p8, p7, p6, p4 found in e_1558 : 10 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_861 and e_1562. e_1562: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

               2         2      3   2
 (q20,q18,p8,p5 ,p5,p7,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1665: 
(#) 6 terms, 9 factors, with derivatives of functions of all variables: 

           2            2
 (q18,p8,p5 ,p5,p7,p6,p4 ,p4)


e_1665 is a consequence of e_1545.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2479 31-Oct-2003 21:09:03, 40 ms (0%), 1511003 occupied, 23488897 free
*** Garbage collection starting 
*** GC 2480 31-Oct-2003 21:09:04, 40 ms (0%), 1632235 occupied, 23367647 free
*** Garbage collection starting 
*** GC 2481 31-Oct-2003 21:09:05, 40 ms (0%), 1496153 occupied, 23503761 free
*** Garbage collection starting 
*** GC 2482 31-Oct-2003 21:09:06, 50 ms (0%), 1623218 occupied, 23376656 free
*** Garbage collection starting 
*** GC 2483 31-Oct-2003 21:09:07, 40 ms (0%), 1486549 occupied, 23513373 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1585 we get the alternative equations : 
0=p4*p7 + p6*p8

17 factors in 5 terms

New level : 1.1.1.2.2.2.2.1.
The list of inequalities got extended by: 

p8


CRACK is now called with the new equation e_1672 : 
0=p4*p7 + p6*p8


Step 3583: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 

p7


The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 99 terms

The list of inequalities got extended by: 
An expression with 103 terms
*** Garbage collection starting 
*** GC 2484 31-Oct-2003 21:09:09, 40 ms (0%), 1466434 occupied, 23533514 free

Substitution of p7 by an expression in 
p8, p6, p4 found in e_1672 : 
     - p6*p8
p7=----------
       p4


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 : 
Substitution of q53 by an expression in 
q18, p8, p4 found in e_1673 : 
     3*p8*q18
q53=----------
        p4


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2485 31-Oct-2003 21:09:10, 50 ms (0%), 1756045 occupied, 23243781 free
*** Garbage collection starting 
*** GC 2486 31-Oct-2003 21:09:11, 50 ms (0%), 1710750 occupied, 23289115 free
*** Garbage collection starting 
*** GC 2487 31-Oct-2003 21:09:12, 50 ms (0%), 1654260 occupied, 23345616 free
*** Garbage collection starting 
*** GC 2488 31-Oct-2003 21:09:13, 40 ms (0%), 1599987 occupied, 23399916 free
*** Garbage collection starting 
*** GC 2489 31-Oct-2003 21:09:15, 40 ms (0%), 1541442 occupied, 23458486 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_1674 we get the alternative equations : 
0=p4 + p5


    2             2
0=p4  - p4*p5 - p6


0=q18


New level : 1.1.1.2.2.2.2.1.1.
CRACK is now called with the new equation e_1845 : 
0=p4 + p5


Step 3586: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 

1

*** Garbage collection starting 
*** GC 2490 31-Oct-2003 21:09:16, 50 ms (0%), 1577755 occupied, 23422189 free

Substitution of p4 by an expression in 
p5 found in e_1845 : 
p4= - p5


Step 3587: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 71 terms

Substitution of q21 found in e_1853 : 
q21=0


Step 3588: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 70 terms

Substitution of q71 found in e_1882 : 
q71=0


Step 3589: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 84 terms
*** Garbage collection starting 
*** GC 2491 31-Oct-2003 21:09:17, 50 ms (0%), 1626029 occupied, 23373908 free

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 68 terms

Substitution of q22 found in e_1878 : 
q22=0


Step 3590: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q36 found in e_1854 : 
q36=0


Step 3591: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 78 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 62 terms
*** Garbage collection starting 
*** GC 2492 31-Oct-2003 21:09:18, 50 ms (0%), 1592059 occupied, 23407886 free

Substitution of q81 found in e_1907 : 
q81=0


Step 3592: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 59 terms
*** Garbage collection starting 
*** GC 2493 31-Oct-2003 21:09:20, 50 ms (0%), 1587283 occupied, 23412660 free

Substitution of q42 by an expression in 
q25 found in e_1846 : 
q42= - q25


Step 3593: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 55 terms

e_1870 is a consequence of e_1851.
e_1857 is a consequence of e_1851.
Substitution of q40 by an expression in 
q27 found in e_1847 : 
q40= - q27


Step 3594: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 52 terms

e_1861 is a consequence of e_1871.
*** Garbage collection starting 
*** GC 2494 31-Oct-2003 21:09:21, 50 ms (0%), 1582255 occupied, 23417686 free

e_1932 is a consequence of e_1851.
Substitution of q27 found in e_1848 : 
q27=0


Step 3595: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 52 terms

The list of inequalities got extended by: 
An expression with 60 terms

The list of inequalities got extended by: 
An expression with 58 terms

The list of inequalities got extended by: 
An expression with 48 terms

e_1934 is a consequence of e_1851.
e_1919 is a consequence of e_1851.
e_1867 is a consequence of e_1851.
e_1906 is a consequence of e_1917.
e_1899 is a consequence of e_1851.
e_1873 is a consequence of e_1917.
e_1920 is a consequence of e_1917.
e_1903 is a consequence of e_1917.
e_1883 is a consequence of e_1917.
e_1884 is a consequence of e_1851.
e_1971 is a consequence of e_1851.
e_1943 is a consequence of e_1851.
e_1933 is a consequence of e_1851.
e_1922 is a consequence of e_1851.
Substitution of q25 found in e_1871 : 
q25=0


Step 3596: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 44 terms

The list of inequalities got extended by: 
An expression with 50 terms

The list of inequalities got extended by: 
An expression with 48 terms

The list of inequalities got extended by: 
An expression with 39 terms
e_1948 is a consequence of e_1921

e_1928 is a consequence of e_1921.
e_1895 is a consequence of e_1921.
e_1918 is a consequence of e_1921.
e_1917 is a consequence of e_1921.
e_1851 is a consequence of e_1921.
e_1952 is a consequence of e_1921.
e_1931 is a consequence of e_1921.
e_1866 is a consequence of e_1921.
e_1930 is a consequence of e_1921.
e_1929 is a consequence of e_1921.
e_1927 is a consequence of e_1921.
e_1874 is a consequence of e_1921.
e_1949 is a consequence of e_1921.
e_1916 is a consequence of e_1921.
*** Garbage collection starting 
*** GC 2495 31-Oct-2003 21:09:23, 40 ms (0%), 1560499 occupied, 23439444 free

Substitution of q18 found in e_1879 : 
q18=0


Step 3597: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 36 terms

The list of inequalities got extended by: 
An expression with 40 terms

The list of inequalities got extended by: 
An expression with 38 terms

The list of inequalities got extended by: 
An expression with 30 terms

e_1859 is a consequence of e_1872.
e_2005 is a consequence of e_1954.
e_2010 is a consequence of e_1966.
Substitution of q20 found in e_1921 : 
q20=0


Step 3598: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q63 found in e_1855 : 
q63=0


Step 3599: 
Hot list 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 37 terms

The list of inequalities got extended by: 
An expression with 39 terms

The list of inequalities got extended by: 
An expression with 35 terms

Substitution of q24 found in e_1891 : 
q24=0


Step 3600: 
Hot list 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 35 terms

The list of inequalities got extended by: 
An expression with 37 terms

The list of inequalities got extended by: 
An expression with 33 terms

e_1877 is a consequence of e_1872.
*** Garbage collection starting 
*** GC 2496 31-Oct-2003 21:09:24, 40 ms (0%), 1552805 occupied, 23447141 free

Substitution of q37 found in e_1894 : 
q37=0


Step 3601: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 35 terms

The list of inequalities got extended by: 
An expression with 31 terms

Substitution of q45 found in e_1954 : 
q45=0


Step 3602: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 33 terms

The list of inequalities got extended by: 
An expression with 29 terms

Substitution of q23 found in e_1872 : 
q23=0


Step 3603: 
Hot list 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 29 terms

The list of inequalities got extended by: 
An expression with 31 terms

The list of inequalities got extended by: 
An expression with 27 terms

e_1937 is a consequence of e_1975.
e_1908 is a consequence of e_1975.
Substitution of q39 found in e_1974 : 
q39=0


Step 3604: 
Hot list 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 30 terms

The list of inequalities got extended by: 
An expression with 26 terms

e_1915 is a consequence of e_1975.
e_1875 is a consequence of e_1910.
Substitution of q64 found in e_1904 : 
q64=0


Step 3605: 
Hot list 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 27 terms

The list of inequalities got extended by: 
An expression with 29 terms

The list of inequalities got extended by: 
An expression with 25 terms

e_2000 is a consequence of e_1972.
Substitution of q60 found in e_1966 : 
q60=0


Step 3606: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 22 terms
*** Garbage collection starting 
*** GC 2497 31-Oct-2003 21:09:26, 40 ms (0%), 1543705 occupied, 23456239 free

Substitution of q29 found in e_1972 : 
q29=0


Step 3607: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 21 terms

e_1905 is a consequence of e_1982.
e_1900 is a consequence of e_1982.
e_1963 is a consequence of e_1910.
e_1876 is a consequence of e_1856.
Substitution of q56 found in e_1989 : 
q56=0


Step 3608: 
Hot list 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

The list of inequalities got extended by: 
An expression with 20 terms

Substitution of q38 found in e_1856 : 
q38=0


Step 3609: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 21 terms

The list of inequalities got extended by: 
An expression with 18 terms

e_2009 is a consequence of e_1982.
e_1910 is a consequence of e_1982.
e_1938 is a consequence of e_1982.
e_1941 is a consequence of e_1862.
e_1947 is a consequence of e_1868.
e_1914 is a consequence of e_1862.
e_1893 is a consequence of e_1862.
Substitution of q26 found in e_1975 : 
q26=0


Step 3610: 
Hot list 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 20 terms

The list of inequalities got extended by: 
An expression with 17 terms

e_1888 is a consequence of e_1982.
e_1864 is a consequence of e_1863.
Substitution of q41 found in e_1862 : 
q41=0


Step 3611: 
Hot list 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 19 terms

The list of inequalities got extended by: 
An expression with 16 terms

e_1902 is a consequence of e_1982.
e_1896 is a consequence of e_1982.
e_1898 is a consequence of e_1982.
e_1869 is a consequence of e_1982.
e_1892 is a consequence of e_1982.
e_1860 is a consequence of e_1982.
Substitution of q54 found in e_1868 : 
q54=0


Step 3612: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 17 terms

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_1973 is a consequence of e_1990.
Substitution of q48 found in e_1982 : 
q48=0


Step 3613: 
Hot list 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 15 terms

The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 11 terms

e_1886 is a consequence of e_1936.
e_1863 is a consequence of e_1936.
e_1986 is a consequence of e_1945.
e_1983 is a consequence of e_1994.
*** Garbage collection starting 
*** GC 2498 31-Oct-2003 21:09:28, 40 ms (0%), 1525717 occupied, 23474228 free

e_1924 is a consequence of e_2027.
Substitution of q43 found in e_1962 : 
q43=0


Step 3614: 
Hot list 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 14 terms

The list of inequalities got extended by: 
An expression with 12 terms

Substitution of q68 found in e_2004 : 
q68=0


Step 3615: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 11 terms

e_1850 is a consequence of e_1936.
e_1945 is a consequence of e_1991.
e_1987 is a consequence of e_2022.
e_2014 is a consequence of e_2021.
e_2007 is a consequence of e_1984.
e_1953 is a consequence of e_1936.
Substitution of q44 found in e_1990 : 
q44=0


Step 3616: 
Hot list 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

The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 
An expression with 10 terms

e_1923 is a consequence of e_1936.
e_1961 is a consequence of e_1936.
e_2001 is a consequence of e_2022.
e_1976 is a consequence of e_1936.
e_2027 is a consequence of e_1936.
e_1985 is a consequence of e_1984.
e_1849 is a consequence of e_1936.
e_2017 is a consequence of e_1984.
e_2020 is a consequence of e_2021.
e_1967 is a consequence of e_2022.
e_1960 is a consequence of e_1936.
e_1995 is a consequence of e_2022.
e_1978 is a consequence of e_2006.
Substitution of q28 found in e_1991 : 
q28=0


Step 3617: 
Hot list 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 11 terms

The list of inequalities got extended by: 
An expression with 9 terms

e_1981 is a consequence of e_2021.
e_2026 is a consequence of e_2019.
e_1909 is a consequence of e_1936.
e_1880 is a consequence of e_2006.
e_2003 is a consequence of e_1942.
Substitution of q66 found in e_1950 : 
q66=0


Step 3618: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 7 terms

e_1977 is a consequence of e_1858.
e_1993 is a consequence of e_1935.
e_1994 is a consequence of e_1968.
e_1885 is a consequence of e_1999.
e_1965 is a consequence of e_1999.
e_1997 is a consequence of e_2023.
e_1913 is a consequence of e_1964.
Substitution of q74 found in e_1936 : 
q74=0


Step 3619: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 9 terms

The list of inequalities got extended by: 
An expression with 6 terms

e_2016 is a consequence of e_2021.
e_1968 is a consequence of e_2021.
e_1942 is a consequence of e_1959.
e_1901 is a consequence of e_1889.
e_2025 is a consequence of e_1999.
e_1951 is a consequence of e_1940.
Substitution of q65 found in e_2019 : 
q65=0


Step 3620: 
Hot list 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 8 terms

The list of inequalities got extended by: 
An expression with 5 terms

e_1992 is a consequence of e_1959.
e_1858 is a consequence of e_2022.
e_2006 is a consequence of e_2021.
e_2011 is a consequence of e_2021.
e_1955 is a consequence of e_2022.
e_1890 is a consequence of e_1969.
e_1980 is a consequence of e_1999.
Substitution of q46 found in e_1984 : 
q46=0


Step 3621: 
Hot list 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 7 terms

The list of inequalities got extended by: 
An expression with 4 terms

e_2023 is a consequence of e_1959.
e_1889 is a consequence of e_1959.
e_2024 is a consequence of e_2021.
e_1852 is a consequence of e_1959.
e_1935 is a consequence of e_1959.
e_2015 is a consequence of e_1959.
e_1926 is a consequence of e_1969.
e_1996 is a consequence of e_1999.
e_2013 is a consequence of e_1999.
e_1897 is a consequence of e_1988.
Substitution of q69 found in e_2022 : 
q69=0


Step 3622: 
Hot list 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

The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 

g0250*q67 + g0265*q52 + g0266*q51


e_1865 is a consequence of e_1959.
e_2018 is a consequence of e_1999.
e_1970 is a consequence of e_1999.
e_1939 is a consequence of e_1969.
Substitution of q61 found in e_2021 : 
q61=0


Step 3623: 
Hot list 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 5 terms

The list of inequalities got extended by: 

g0250*q67 + g0265*q52


e_1881 is a consequence of e_1969.
e_1958 is a consequence of e_1999.
e_1956 is a consequence of e_1969.
e_1944 is a consequence of e_1999.
e_1979 is a consequence of e_1969.
e_1911 is a consequence of e_1999.
e_1998 is a consequence of e_1969.
e_1946 is a consequence of e_1940.
e_1957 is a consequence of e_1940.
e_1887 is a consequence of e_1940.
e_2008 is a consequence of e_2012.
Substitution of q51 found in e_1959 : 
q51=0


Step 3624: 
Hot list 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 4 terms

The list of inequalities got extended by: 

q52


The list of inequalities got extended by: 

q67


Substitution of q67 found in e_1999 : 
q67=0


leads to a contradiction in : 
0=3*q52 + 2*q67


Back to level : 1.1.1.2.2.2.2.1.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p4 + p5


New level : 1.1.1.2.2.2.2.1.2.
CRACK is now called with the new equation e_1845 : 
    2             2
0=p4  - p4*p5 - p6


Step 3625: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 

p4 + p6


p4 - p6


The list of inequalities got extended by: 

    2     2
2*p4  - p6

*** Garbage collection starting 
*** GC 2499 31-Oct-2003 21:09:30, 30 ms (0%), 1352834 occupied, 23647117 free
*** Garbage collection starting 
*** GC 2500 31-Oct-2003 21:09:31, 40 ms (0%), 1442022 occupied, 23557924 free

Substitution of p5 by an expression in 
p6, p4 found in e_1845 : 
      2     2
    p4  - p6
p5=-----------
       p4


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 : 
The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 93 terms
*** Garbage collection starting 
*** GC 2501 31-Oct-2003 21:09:32, 30 ms (0%), 1453590 occupied, 23546357 free

Substitution of q27 by an expression in 
q18, p8, p6 found in e_1876 : 
     2*p8*q18
q27=----------
        p6


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 : 
The list of inequalities got extended by: 
An expression with 112 terms

The list of inequalities got extended by: 
An expression with 108 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q74 by an expression in 
q71, q43, q29, q28, p6, p4 found in e_1849 : 11 factors in 5 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 : 
The list of inequalities got extended by: 
An expression with 114 terms

The list of inequalities got extended by: 
An expression with 110 terms

The list of inequalities got extended by: 
An expression with 98 terms

Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1850 : 8 factors in 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 2 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 : 
Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1850 : 8 factors in 4 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 1 term

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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2502 31-Oct-2003 21:09:34, 50 ms (0%), 1580179 occupied, 23419708 free
Eliminate 
q40

from e_1847 and e_1867. e_1867: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

                   3   2      3   2
 (q40,q20,q18,p8,p6 ,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_2028: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

            3   2      3   2
 (q20,q18,p6 ,p6 ,p6,p4 ,p4 ,p4)


e_2028 is a consequence of e_1851.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1851 and e_1863. e_1863: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

                   3   2      4   3   2
 (q25,q20,q18,p8,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4)

is replaced by e_2029: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

               2   3   2
 (q25,q18,p8,p6 ,p4 ,p4 )


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 1 term

Step 3637: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3638: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3639: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2503 31-Oct-2003 21:09:35, 40 ms (0%), 1622993 occupied, 23376897 free
Eliminate 
q20

from e_1851 and e_1858. e_1858: 
(#) 10 terms, 29 factors, with derivatives of functions of all variables: 

                   5   4   3   2      5   4   3   2
 (q40,q20,q18,p8,p6 ,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)

is replaced by e_2033: 
(#) 6 terms, 16 factors, with derivatives of functions of all variables: 

               4   3   2      4   2
 (q40,q18,p8,p6 ,p6 ,p6 ,p6,p4 ,p4 )


e_2033 is a consequence of e_1847.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_1847 and e_1920. e_1920: 
 7 terms, 42 factors, with derivatives of functions of all variables: 

                   4   3   2      5   4   3   2
 (q40,q20,q18,p8,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)

is replaced by e_2034: 
 6 terms, 36 factors, with derivatives of functions of all variables: 

            5   4   3   2      5   4   3   2
 (q20,q18,p6 ,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1851 and e_2034. e_2034: 
 6 terms, 36 factors, with derivatives of functions of all variables: 

            5   4   3   2      5   4   3   2
 (q20,q18,p6 ,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)

is replaced by e_2035: 

         2       2
0=q18*(p4  + 2*p6 )


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 1 term

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 : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 111 terms

The list of inequalities got extended by: 
An expression with 89 terms
*** Garbage collection starting 
*** GC 2504 31-Oct-2003 21:09:36, 30 ms (0%), 1454868 occupied, 23545079 free

Substitution of q25 by an expression in 
q18, p8, p6, p4 found in e_2037 : 
         2
     3*p6 *p8*q18
q25=--------------
           3
         p4


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 : 
Substitution of q74 by an expression in 
q71, q43, q29, q28, p6, p4 found in e_1849 : 11 factors in 5 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 1 term

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 : 
The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 109 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 93 terms
*** Garbage collection starting 
*** GC 2505 31-Oct-2003 21:09:37, 40 ms (0%), 1456850 occupied, 23543097 free

Substitution of q40 by an expression in 
q18, p8, p6, p4 found in e_1523 : 
      - 6*p6*p8*q18
q40=----------------
            2
          p4


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 : 
Substitution of q25 by an expression in 
q18, p8, p6, p4 found in e_2037 : 
         2
     3*p6 *p8*q18
q25=--------------
           3
         p4


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 : 
Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1850 : 8 factors in 4 terms

Step 3649: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3650: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 109 terms

The list of inequalities got extended by: 
An expression with 87 terms

Substitution of q71 by an expression in 
q18, p8, p6, p4 found in e_1542 : 
               2
      - 3*p6*p8 *q18
q71=-----------------
             3
           p4


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 : 
The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 84 terms
*** Garbage collection starting 
*** GC 2506 31-Oct-2003 21:09:39, 40 ms (0%), 1452529 occupied, 23547415 free

Substitution of q42 by an expression in 
q18, p8, p6, p4 found in e_2032 : 
            2
      - 6*p6 *p8*q18
q42=-----------------
             3
           p4


Step 3652: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3653: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3654: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3655: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3656: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3657: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 111 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 95 terms
*** Garbage collection starting 
*** GC 2507 31-Oct-2003 21:09:40, 40 ms (0%), 1447545 occupied, 23552405 free

Substitution of q18 by an expression in 
q20, p6, p4 found in e_1549 : 11 factors in 3 terms

Step 3658: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2508 31-Oct-2003 21:09:42, 50 ms (0%), 1710486 occupied, 23289361 free
*** Garbage collection starting 
*** GC 2509 31-Oct-2003 21:09:43, 40 ms (0%), 1661993 occupied, 23337855 free
*** Garbage collection starting 
*** GC 2510 31-Oct-2003 21:09:44, 40 ms (0%), 1603924 occupied, 23395952 free
*** Garbage collection starting 
*** GC 2511 31-Oct-2003 21:09:45, 30 ms (0%), 1519412 occupied, 23480498 free
*** Garbage collection starting 
*** GC 2512 31-Oct-2003 21:09:47, 50 ms (0%), 1732617 occupied, 23267251 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
*** Garbage collection starting 
*** GC 2513 31-Oct-2003 21:09:48, 40 ms (0%), 1486567 occupied, 23513379 free

Substitution of q42 by an expression in 
q20, p8, p6, p4 found in e_2032 : 13 factors in 3 terms

Step 3659: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1850 : 8 factors in 4 terms

Step 3660: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2514 31-Oct-2003 21:09:50, 50 ms (0%), 1688334 occupied, 23311501 free
*** Garbage collection starting 
*** GC 2515 31-Oct-2003 21:09:51, 50 ms (0%), 1642717 occupied, 23357163 free
*** Garbage collection starting 
*** GC 2516 31-Oct-2003 21:09:52, 40 ms (0%), 1584556 occupied, 23415346 free
*** Garbage collection starting 
*** GC 2517 31-Oct-2003 21:09:54, 40 ms (0%), 1516051 occupied, 23483873 free
*** Garbage collection starting 
*** GC 2518 31-Oct-2003 21:09:55, 50 ms (0%), 1764003 occupied, 23235831 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
Substitution of q71 by an expression in 
q20, p8, p6, p4 found in e_1542 : 12 factors in 3 terms

Step 3661: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2519 31-Oct-2003 21:09:56, 40 ms (0%), 1642526 occupied, 23357351 free
*** Garbage collection starting 
*** GC 2520 31-Oct-2003 21:09:58, 50 ms (0%), 1592058 occupied, 23407847 free
*** Garbage collection starting 
*** GC 2521 31-Oct-2003 21:09:59, 40 ms (0%), 1538366 occupied, 23461559 free
*** Garbage collection starting 
*** GC 2522 31-Oct-2003 21:10:00, 30 ms (0%), 1489777 occupied, 23510169 free
*** Garbage collection starting 
*** GC 2523 31-Oct-2003 21:10:02, 50 ms (0%), 1766810 occupied, 23233017 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
Substitution of q25 by an expression in 
q20, p8, p6, p4 found in e_2037 : 13 factors in 3 terms

Step 3662: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2524 31-Oct-2003 21:10:03, 50 ms (0%), 1629207 occupied, 23370693 free
*** Garbage collection starting 
*** GC 2525 31-Oct-2003 21:10:04, 40 ms (0%), 1618689 occupied, 23381201 free
*** Garbage collection starting 
*** GC 2526 31-Oct-2003 21:10:06, 50 ms (0%), 1607569 occupied, 23392334 free
*** Garbage collection starting 
*** GC 2527 31-Oct-2003 21:10:07, 40 ms (0%), 1593267 occupied, 23406630 free
*** Garbage collection starting 
*** GC 2528 31-Oct-2003 21:10:08, 40 ms (0%), 1580777 occupied, 23419142 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
Substitution of q40 by an expression in 
q20, p8, p6, p4 found in e_1523 : 12 factors in 3 terms

Step 3663: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2529 31-Oct-2003 21:10:10, 50 ms (0%), 1638447 occupied, 23361440 free
*** Garbage collection starting 
*** GC 2530 31-Oct-2003 21:10:11, 40 ms (0%), 1645928 occupied, 23353950 free
*** Garbage collection starting 
*** GC 2531 31-Oct-2003 21:10:12, 50 ms (0%), 1653367 occupied, 23346512 free
*** Garbage collection starting 
*** GC 2532 31-Oct-2003 21:10:14, 50 ms (0%), 1660473 occupied, 23339404 free
*** Garbage collection starting 
*** GC 2533 31-Oct-2003 21:10:15, 50 ms (0%), 1667118 occupied, 23332757 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
Substitution of q18 by an expression in 
q20, p6, p4 found in e_1549 : 11 factors in 3 terms

Step 3664: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2534 31-Oct-2003 21:10:17, 40 ms (0%), 1469521 occupied, 23530426 free
*** Garbage collection starting 
*** GC 2535 31-Oct-2003 21:10:19, 40 ms (0%), 1471959 occupied, 23527989 free
*** Garbage collection starting 
*** GC 2536 31-Oct-2003 21:10:21, 40 ms (0%), 1472659 occupied, 23527288 free
shortening by 4 terms
e_1870,e_1917,e_1918,e_1878,e_1898,e_1907,e_1910,e_1915,e_1937,e_1954,e_1895,
e_1911,e_1916,e_1908,e_1909,e_1929,e_1934,e_1466,e_1465,e_1543,e_2035,e_1548,
e_1851,e_1888,e_1912,e_1871,e_1891,e_1921,e_1906,e_1864 are consequences of 
e_1847

Step 3665: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3666: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 111 terms

The list of inequalities got extended by: 
An expression with 89 terms
*** Garbage collection starting 
*** GC 2537 31-Oct-2003 21:10:23, 40 ms (0%), 1460877 occupied, 23539069 free

Substitution of q23 by an expression in 
q22, p6, p4 found in e_2030 : 
      1
     ---*p4*q22
      3
q23=------------
         p6


Step 3667: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3668: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3669: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3670: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3671: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q63 found in e_1919 : 
q63=0


Step 3672: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1922. e_1922: 
 5 terms, 35 factors, with derivatives of functions of all variables: 

               5   3   2      6   4   2
 (q21,q20,p8,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 )

is replaced by e_1551: 

           2       2
0=q21*(2*p4  - 3*p6 )


Step 3673: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_1553 is a consequence of e_1847.
Step 3674: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3675: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1869. e_1869: 
 6 terms, 36 factors, with derivatives of functions of all variables: 

                   4   2      5   4   3   2
 (q22,q21,q20,p8,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 )

is replaced by e_1554: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2      2
 (q22,q21,p6 ,p6,p4 ,p4)


Step 3676: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 90 terms

The list of inequalities got extended by: 
An expression with 112 terms

The list of inequalities got extended by: 
An expression with 108 terms
*** Garbage collection starting 
*** GC 2538 31-Oct-2003 21:10:24, 40 ms (0%), 1473186 occupied, 23526764 free

The list of inequalities got extended by: 
An expression with 96 terms

Substitution of q21 by an expression in 
q22, p6, p4 found in e_1554 : 9 factors in 3 terms

Step 3677: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1875. e_1875: 
 5 terms, 40 factors, with derivatives of functions of all variables: 

               6   4   2   6   5   4   2
 (q22,q20,p8,p6 ,p6 ,p6 ,p4 ,p4 ,p4 ,p4 )

is replaced by e_1665: 

0=q22

e_1551 is a consequence of e_1665

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 84 terms

The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 90 terms
*** Garbage collection starting 
*** GC 2539 31-Oct-2003 21:10:25, 40 ms (0%), 1446536 occupied, 23553413 free

Substitution of q22 found in e_1665 : 
q22=0


Step 3679: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q21 found in e_1554 : 
q21=0


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 103 terms

The list of inequalities got extended by: 
An expression with 107 terms

The list of inequalities got extended by: 
An expression with 85 terms

Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 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 :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3682: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3683: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 105 terms

The list of inequalities got extended by: 
An expression with 84 terms

Substitution of q36 found in e_1667 : 
q36=0


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 : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 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 : 
Substitution of q44 by an expression in 
q43, q29, q28, p6, p4 found in e_1850 : 8 factors in 4 terms

Step 3686: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 : 
*** Garbage collection starting 
*** GC 2540 31-Oct-2003 21:10:27, 40 ms (0%), 1434384 occupied, 23565563 free
 --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1899. e_1899: 
 5 terms, 30 factors, with derivatives of functions of all variables: 

               4   2   4   3   2
 (q81,q20,p8,p6 ,p6 ,p4 ,p4 ,p4 ,p4)

is replaced by e_1671: 

           2       2
0=q81*(4*p4  - 3*p6 )


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2541 31-Oct-2003 21:10:28, 40 ms (0%), 1568342 occupied, 23431555 free
Eliminate 
q20

from e_1847 and e_1884. e_1884: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                   4   2   4   3   2
 (q81,q24,q20,p8,p6 ,p6 ,p4 ,p4 ,p4 ,p4)

is replaced by e_1839: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2   2
 (q81,q24,p6 ,p4 )


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 : 
The list of inequalities got extended by: 
An expression with 89 terms

The list of inequalities got extended by: 
An expression with 102 terms

The list of inequalities got extended by: 
An expression with 106 terms

The list of inequalities got extended by: 
An expression with 85 terms

Substitution of q24 by an expression in 
q81, p6, p4 found in e_1839 : 9 factors in 3 terms

Step 3693: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1855. e_1855: 
 6 terms, 36 factors, with derivatives of functions of all variables: 

                2   3   2      5   3   2
 (q43,q29,q20,p8 ,p6 ,p6 ,p6,p4 ,p4 ,p4 )

is replaced by e_1840: 

0=q29 + q43


Step 3694: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 97 terms

The list of inequalities got extended by: 
An expression with 83 terms
*** Garbage collection starting 
*** GC 2542 31-Oct-2003 21:10:29, 40 ms (0%), 1438156 occupied, 23561793 free

Substitution of q43 by an expression in 
q29 found in e_1840 : 
q43= - q29


Step 3695: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q44 by an expression in 
q28 found in e_1850 : 
q44=q28


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 : 
Substitution of q24 by an expression in 
q81, p6, p4 found in e_1839 : 9 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 100 terms

The list of inequalities got extended by: 
An expression with 101 terms

The list of inequalities got extended by: 
An expression with 83 terms

Substitution of q69 by an expression in 
q68, q46, q29, q28, p6, p4 found in e_1859 : 13 factors in 5 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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_2017. e_2017: 
(#) 6 terms, 22 factors, with derivatives of functions of all variables: 

            2   5   3   2      7   5   4   2
 (q29,q20,p8 ,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 )

is replaced by e_1841: 

         2     2
0=q29*(p4  + p6 )


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 1 term

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 1 term

Step 3705: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3706: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3707: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3708: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3709: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3710: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3711: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q69 by an expression in 
q68, q46, q29, q28, p6, p4 found in e_1859 : 13 factors in 5 terms

Step 3712: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3713: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3714: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 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 : 
Substitution of q24 by an expression in 
q81, p6, p4 found in e_1839 : 9 factors in 3 terms

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 1 term

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 1 term

Step 3720: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3721: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3722: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3723: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3724: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2543 31-Oct-2003 21:10:31, 40 ms (0%), 1421532 occupied, 23578419 free
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1849. e_1849: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

                2   2   4   2
 (q74,q28,q20,p8 ,p6 ,p4 ,p4 )

is replaced by e_2040: 

0=2*q28 - q74


Step 3726: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q74 by an expression in 
q28 found in e_2040 : 
q74=2*q28


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1939. e_1939: 
 7 terms, 49 factors, with derivatives of functions of all variables: 

                2      4   3   2      5   4   3   2
 (q81,q45,q20,p8 ,p8,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)

is replaced by e_2041: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

               3   2      4   2
 (q81,q45,p8,p6 ,p6 ,p6,p4 ,p4 )


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 : 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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1988. e_1988: 
 7 terms, 49 factors, with derivatives of functions of all variables: 

                2      4   3   2      5   4   3   2
 (q81,q45,q20,p8 ,p8,p6 ,p6 ,p6 ,p6,p4 ,p4 ,p4 ,p4 ,p4)

is replaced by e_2043: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

               3   2      4   2
 (q81,q45,p8,p6 ,p6 ,p6,p4 ,p4 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q81

from e_2042 and e_2043. e_2043: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

               3   2      4   2
 (q81,q45,p8,p6 ,p6 ,p6,p4 ,p4 )

is replaced by e_2044: 

0=q45


Step 3731: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
*** Garbage collection starting 
*** GC 2544 31-Oct-2003 21:10:32, 40 ms (0%), 1420480 occupied, 23579471 free

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 98 terms

The list of inequalities got extended by: 
An expression with 99 terms

The list of inequalities got extended by: 
An expression with 81 terms
e_1671 is a consequence of e_2042

Substitution of q45 found in e_2044 : 
q45=0


Step 3732: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 74 terms
*** Garbage collection starting 
*** GC 2545 31-Oct-2003 21:10:33, 30 ms (0%), 1418564 occupied, 23581386 free

Substitution of q81 found in e_2042 : 
q81=0


Step 3733: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q24 found in e_1839 : 
q24=0


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 : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 terms

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 : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 93 terms

The list of inequalities got extended by: 
An expression with 92 terms

Substitution of q41 by an expression in 
q64, p6, p4 found in e_1467 : 8 factors in 3 terms

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 : 
Substitution of q69 by an expression in 
q68, q46, q29, q28, p6, p4 found in e_1859 : 13 factors in 5 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1844. e_1844: 
 4 terms, 28 factors, with derivatives of functions of all variables: 

            2   4   3   2   4   3   2
 (q29,q20,p8 ,p6 ,p6 ,p6 ,p4 ,p4 ,p4 )

is replaced by e_2045: 

0=q29

e_1841 is a consequence of e_2045

Step 3738: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 88 terms

The list of inequalities got extended by: 
An expression with 88 terms

e_1843 is a consequence of e_1847.
*** Garbage collection starting 
*** GC 2546 31-Oct-2003 21:10:35, 40 ms (0%), 1409470 occupied, 23590481 free

Substitution of q29 found in e_2045 : 
q29=0


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 : 
Substitution of q69 by an expression in 
q68, q46, q28 found in e_1859 : 
q69= - 3*q28 + 2*q46 - q68


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 : 
The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 91 terms

The list of inequalities got extended by: 
An expression with 78 terms

Substitution of q65 by an expression in 
q61, q51, q46, q28 found in e_1862 : 7 factors in 5 terms

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 : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 terms

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 : 
Substitution of q41 by an expression in 
q64, p6, p4 found in e_1467 : 8 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 95 terms

The list of inequalities got extended by: 
An expression with 72 terms

Substitution of q68 by an expression in 
q61, q60, q46, q28, p6, p4 found in e_1852 : 16 factors in 5 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1930. e_1930: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2   3   2
 (q64,q20,p8,p6 ,p4 ,p4 ,p4)

is replaced by e_2047: 

           2       2
0=q64*(5*p4  - 3*p6 )


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1674. e_1674: 
 4 terms, 28 factors, with derivatives of functions of all variables: 

            2   4   3   2   4   3   2
 (q60,q20,p8 ,p6 ,p6 ,p6 ,p4 ,p4 ,p4 )

is replaced by e_2050: 

0=q60


Step 3748: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 92 terms
*** Garbage collection starting 
*** GC 2547 31-Oct-2003 21:10:36, 40 ms (0%), 1433400 occupied, 23566549 free

The list of inequalities got extended by: 
An expression with 92 terms

The list of inequalities got extended by: 
An expression with 70 terms

e_1993 is a consequence of e_1847.
e_1949 is a consequence of e_1847.
Substitution of q60 found in e_2050 : 
q60=0


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 : 
Substitution of q68 by an expression in 
q61, q46, q28 found in e_1852 : 8 factors in 4 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_1876. e_1876: 
 6 terms, 54 factors, with derivatives of functions of all variables: 

            2   6   4   2   8   6   4   2
 (q28,q20,p8 ,p6 ,p6 ,p6 ,p4 ,p4 ,p4 ,p4 )

is replaced by e_2051: 

0=q28


Step 3751: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 86 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 73 terms
*** Garbage collection starting 
*** GC 2548 31-Oct-2003 21:10:38, 30 ms (0%), 1402832 occupied, 23597114 free

Substitution of q28 found in e_2051 : 
q28=0


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1847 and e_2011. e_2011: 
 4 terms, 20 factors, with derivatives of functions of all variables: 

               4   2   3   2
 (q64,q20,p8,p6 ,p6 ,p4 ,p4 ,p4)

is replaced by e_2052: 

0=q64

e_2047 is a consequence of e_2052

Step 3753: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 82 terms

e_2010 is a consequence of e_1847.
e_2033 is a consequence of e_1847.
Substitution of q64 found in e_2052 : 
q64=0


Step 3754: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
Substitution of q41 found in e_1467 : 
q41=0


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 : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 terms

Step 3756: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 2 terms

Step 3759: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 63 terms

Substitution of q54 found in e_2055 : 
q54=0


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 : 
Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 terms

Step 3761: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
A partial substitution has been repeated too often.
It will now be made rigorously.

Substitution of q38 by an expression in 
q37, q20, p8, p6, p4 found in e_1848 : 11 factors in 3 terms

Step 3762: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 : 
The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 62 terms
*** Garbage collection starting 
*** GC 2549 31-Oct-2003 21:10:39, 30 ms (0%), 1393569 occupied, 23606377 free

Substitution of q37 by an expression in 
q20, p8, p6, p4 found in e_2056 : 7 factors in 2 terms

Step 3764: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 63 terms

Substitution of q56 by an expression in 
q48, q20, p8, p6, p4 found in e_1544 : 9 factors in 3 terms

Step 3765: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 77 terms

Substitution of q48 by an expression in 
q39, q20, p8, p6 found in e_1894 : 9 factors in 3 terms

Step 3766: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 : 
The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 74 terms
*** Garbage collection starting 
*** GC 2550 31-Oct-2003 21:10:41, 40 ms (0%), 1392364 occupied, 23607584 free

Substitution of q39 by an expression in 
q20, p8, p6, p4 found in e_2059 : 7 factors in 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 1 term

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 : 
The list of inequalities got extended by: 
An expression with 62 terms

The list of inequalities got extended by: 
An expression with 81 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 73 terms

Substitution of q26 by an expression in 
q20, p8, p6, p4 found in e_2062 : 7 factors in 2 terms

Step 3770: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3771: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q56 by an expression in 
q20, p8, p6, p4 found in e_2063 : 7 factors in 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 1 term

Step 3773: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3774: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3775: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3776: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3777: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3778: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3779: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3780: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3781: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3782: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3783: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3784: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3785: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3786: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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

Step 3788: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3789: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3790: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 3792: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3793: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2551 31-Oct-2003 21:10:42, 40 ms (0%), 1449099 occupied, 23550823 free
*** Garbage collection starting 
*** GC 2552 31-Oct-2003 21:10:44, 40 ms (0%), 1457045 occupied, 23542882 free
*** Garbage collection starting 
*** GC 2553 31-Oct-2003 21:10:45, 40 ms (0%), 1412529 occupied, 23587417 free
*** Garbage collection starting 
*** GC 2554 31-Oct-2003 21:10:47, 40 ms (0%), 1519779 occupied, 23480150 free
*** Garbage collection starting 
*** GC 2555 31-Oct-2003 21:10:49, 40 ms (0%), 1512479 occupied, 23487448 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 77 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 64 terms

Substitution of q61 by an expression in 
q20, p8, p6, p4 found in e_1523 : 13 factors in 3 terms

Step 3796: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3797: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 3 terms

Step 3800: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 3804: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3805: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2556 31-Oct-2003 21:10:50, 30 ms (0%), 1389325 occupied, 23610620 free
shortening by 1 term

Step 3806: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3807: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 1 term

Step 3809: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3810: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3811: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3812: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3813: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3814: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3815: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2557 31-Oct-2003 21:10:55, 40 ms (0%), 1420146 occupied, 23579794 free
*** Garbage collection starting 
*** GC 2558 31-Oct-2003 21:10:57, 40 ms (0%), 1520669 occupied, 23479248 free
*** Garbage collection starting 
*** GC 2559 31-Oct-2003 21:10:58, 40 ms (0%), 1459036 occupied, 23540890 free
*** Garbage collection starting 
*** GC 2560 31-Oct-2003 21:11:00, 30 ms (0%), 1471030 occupied, 23528888 free
*** Garbage collection starting 
*** GC 2561 31-Oct-2003 21:11:02, 40 ms (0%), 1464236 occupied, 23535689 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 82 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 64 terms

Substitution of q46 by an expression in 
q20, p8, p6, p4 found in e_1549 : 13 factors in 3 terms

Step 3817: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2562 31-Oct-2003 21:11:04, 40 ms (0%), 1388862 occupied, 23611074 free
 --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2563 31-Oct-2003 21:11:08, 40 ms (0%), 1501548 occupied, 23498365 free
*** Garbage collection starting 
*** GC 2564 31-Oct-2003 21:11:10, 30 ms (0%), 1426011 occupied, 23573923 free
*** Garbage collection starting 
*** GC 2565 31-Oct-2003 21:11:12, 30 ms (0%), 1402654 occupied, 23597280 free
*** Garbage collection starting 
*** GC 2566 31-Oct-2003 21:11:13, 40 ms (0%), 1406281 occupied, 23593655 free
*** Garbage collection starting 
*** GC 2567 31-Oct-2003 21:11:15, 40 ms (0%), 1426349 occupied, 23573584 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 65 terms

Substitution of q67 by an expression in 
q20, p8, p6, p4 found in e_1933 : 13 factors in 3 terms

Step 3818: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2568 31-Oct-2003 21:11:18, 40 ms (0%), 1396410 occupied, 23603527 free
shortening by 2 terms

Step 3819: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2569 31-Oct-2003 21:11:22, 40 ms (0%), 1425642 occupied, 23574296 free
*** Garbage collection starting 
*** GC 2570 31-Oct-2003 21:11:23, 40 ms (0%), 1485267 occupied, 23514641 free
*** Garbage collection starting 
*** GC 2571 31-Oct-2003 21:11:25, 40 ms (0%), 1523230 occupied, 23476685 free
*** Garbage collection starting 
*** GC 2572 31-Oct-2003 21:11:27, 40 ms (0%), 1495697 occupied, 23504215 free
*** Garbage collection starting 
*** GC 2573 31-Oct-2003 21:11:28, 40 ms (0%), 1407280 occupied, 23592657 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 85 terms

The list of inequalities got extended by: 
An expression with 66 terms

Substitution of q66 by an expression in 
q20, p8, p6, p4 found in e_1906 : 13 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2574 31-Oct-2003 21:11:32, 40 ms (0%), 1502163 occupied, 23497747 free
*** Garbage collection starting 
*** GC 2575 31-Oct-2003 21:11:33, 40 ms (0%), 1510358 occupied, 23489564 free
*** Garbage collection starting 
*** GC 2576 31-Oct-2003 21:11:35, 40 ms (0%), 1486402 occupied, 23513505 free
*** Garbage collection starting 
*** GC 2577 31-Oct-2003 21:11:37, 30 ms (0%), 1455849 occupied, 23544077 free
*** Garbage collection starting 
*** GC 2578 31-Oct-2003 21:11:38, 40 ms (0%), 1453227 occupied, 23546697 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 85 terms

Substitution of q51 by an expression in 
q20, p8, p6, p4 found in e_2037 : 12 factors in 3 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 : 
*** Garbage collection starting 
*** GC 2579 31-Oct-2003 21:11:43, 40 ms (0%), 1400484 occupied, 23599450 free
*** Garbage collection starting 
*** GC 2580 31-Oct-2003 21:11:56, 30 ms (0%), 1399622 occupied, 23600315 free
shortening by 2 terms

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 2 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2581 31-Oct-2003 21:12:05, 40 ms (0%), 1434145 occupied, 23565784 free
*** Garbage collection starting 
*** GC 2582 31-Oct-2003 21:12:07, 40 ms (0%), 1404619 occupied, 23595313 free
*** Garbage collection starting 
*** GC 2583 31-Oct-2003 21:12:08, 30 ms (0%), 1421778 occupied, 23578154 free
*** Garbage collection starting 
*** GC 2584 31-Oct-2003 21:12:10, 30 ms (0%), 1478241 occupied, 23521662 free
*** Garbage collection starting 
*** GC 2585 31-Oct-2003 21:12:12, 40 ms (0%), 1416150 occupied, 23583781 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions :  --- 
Substitution of <=1000 terms, no cases : 
The list of inequalities got extended by: 
An expression with 67 terms

The list of inequalities got extended by: 
An expression with 85 terms

q20


The list of inequalities got extended by: 
An expression with 86 terms

Substitution of q52 by an expression in 
q20, p8, p6, p4 found in e_1548 : 13 factors in 3 terms

Step 3824: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 2586 31-Oct-2003 21:12:14, 40 ms (0%), 1377376 occupied, 23622569 free
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 2 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 :  --- 
Length reducing decoupling steps : 
contradiction : 
   472425790570164435743    2
0=-----------------------*p4
        1503735607

Eliminate 
p6

from e_2020 and e_1671. e_2020: 

                 2                2
0=309503398364*p4  - 3914683605*p6

is replaced by e_2023: 

0=1


Back to level : 1.1.1.2.2.2.2.1.
Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p4 + p5


The list of inequalities got extended by: 

  2             2
p4  - p4*p5 - p6


New level : 1.1.1.2.2.2.2.1.3.
CRACK is now called with the new equation e_1845 : 
0=q18


Step 3827: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 87 terms

The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 74 terms

The list of inequalities got extended by: 
An expression with 72 terms

e_1864 is a consequence of e_1858.
*** Garbage collection starting 
*** GC 2587 31-Oct-2003 21:12:37, 30 ms (0%), 1360488 occupied, 23639457 free

Substitution of q18 found in e_1845 : 
q18=0


Step 3828: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 84 terms

The list of inequalities got extended by: 
An expression with 80 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 69 terms
*** Garbage collection starting 
*** GC 2588 31-Oct-2003 21:12:38, 40 ms (0%), 1416318 occupied, 23583625 free

Substitution of q27 found in e_1869 : 
q27=0


Step 3829: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 83 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 68 terms

Substitution of q71 found in e_1870 : 
q71=0


Step 3830: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 79 terms

The list of inequalities got extended by: 
An expression with 75 terms

The list of inequalities got extended by: 
An expression with 64 terms

e_1860 is a consequence of e_1848.
e_1988 is a consequence of e_1846.
e_1853 is a consequence of e_1848.
e_1893 is a consequence of e_1848.
e_1904 is a consequence of e_1848.
*** Garbage collection starting 
*** GC 2589 31-Oct-2003 21:12:39, 30 ms (0%), 1421782 occupied, 23578163 free

Substitution of q40 found in e_1847 : 
q40=0


Step 3831: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 63 terms

The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 61 terms

e_1855 is a consequence of e_1861.
e_1902 is a consequence of e_1901.
e_1871 is a consequence of e_1901.
e_1892 is a consequence of e_1848.
*** Garbage collection starting 
*** GC 2590 31-Oct-2003 21:12:41, 40 ms (0%), 1414448 occupied, 23585497 free

Substitution of q42 by an expression in 
q25 found in e_1846 : 
q42= - q25


Step 3832: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 57 terms

e_1863 is a consequence of e_1848.
e_1895 is a consequence of e_1848.
e_1885 is a consequence of e_1848.
e_1901 is a consequence of e_1848.
e_1872 is a consequence of e_1848.
e_1903 is a consequence of e_1848.
e_1896 is a consequence of e_1848.
e_1858 is a consequence of e_1848.
e_1857 is a consequence of e_1848.
e_1882 is a consequence of e_1848.
e_1878 is a consequence of e_1848.
e_1900 is a consequence of e_1848.
e_1894 is a consequence of e_1848.
e_1881 is a consequence of e_1848.
e_1915 is a consequence of e_1848.
e_1891 is a consequence of e_1848.
e_1897 is a consequence of e_1848.
e_1899 is a consequence of e_1848.
e_1932 is a consequence of e_1848.
e_1916 is a consequence of e_1848.
e_1917 is a consequence of e_1848.
e_1905 is a consequence of e_1848.
e_1912 is a consequence of e_1848.
Substitution of q25 found in e_1861 : 
q25=0


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 : 
The list of inequalities got extended by: 
An expression with 59 terms

The list of inequalities got extended by: 
An expression with 68 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 57 terms
*** Garbage collection starting 
*** GC 2591 31-Oct-2003 21:12:42, 30 ms (0%), 1406312 occupied, 23593624 free

Substitution of q36 by an expression in 
q21, p5, p6 found in e_1850 : 
      1
     ---*p6*q21
      2
q36=------------
         p5


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 : 
The list of inequalities got extended by: 
An expression with 57 terms

The list of inequalities got extended by: 
An expression with 66 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 55 terms

Substitution of q22 by an expression in 
q21, p5, p6 found in e_1868 : 
      - p6*q21
q22=-----------
        p5


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 : 
Substitution of q63 by an expression in 
q20, p8, p5, p6, p4 found in e_1851 : 11 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 56 terms

The list of inequalities got extended by: 
An expression with 65 terms

The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 58 terms
*** Garbage collection starting 
*** GC 2592 31-Oct-2003 21:12:43, 30 ms (0%), 1411118 occupied, 23588817 free

Substitution of q74 by an expression in 
q43, q29, p6, p4 found in e_1999 : 10 factors in 3 terms

Step 3837: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Length reducing decoupling steps : Eliminate 
q21

from e_1849 and e_1906. e_1906: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

               3   2         3   2
 (q21,q20,p8,p5 ,p5 ,p5,p6,p4 ,p4 ,p4)

is replaced by e_1550: 

0=q20*(p4 - p5)*(2*p4 + p5)


e_1550 is a consequence of e_1848.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1548. e_1548: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                          2
 (q81,q64,q54,q20,p8,p5,p4 ,p4)

is replaced by e_1551: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q81,q64,q54,p5,p4)


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 : 
The list of inequalities got extended by: 
An expression with 61 terms

The list of inequalities got extended by: 
An expression with 70 terms

The list of inequalities got extended by: 
An expression with 69 terms

The list of inequalities got extended by: 
An expression with 63 terms
*** Garbage collection starting 
*** GC 2593 31-Oct-2003 21:12:45, 40 ms (0%), 1410038 occupied, 23589897 free

Substitution of q81 by an expression in 
q64, q54, p5, p4 found in e_1551 : 8 factors in 3 terms

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 1 term

Step 3846: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3847: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 3851: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3852: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1856. e_1856: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                          2
 (q64,q41,q24,q20,p8,p5,p4 ,p4)

is replaced by e_1673: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q64,q41,q24,p5,p4)


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 : 
The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 71 terms

The list of inequalities got extended by: 
An expression with 65 terms

Substitution of q41 by an expression in 
q64, q24, p5, p4 found in e_1673 : 10 factors in 4 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2594 31-Oct-2003 21:12:46, 40 ms (0%), 1461591 occupied, 23538333 free
Eliminate 
q20

from e_1848 and e_1908. e_1908: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                         3   2
 (q39,q26,q20,p8,p5,p6,p4 ,p4 ,p4)

is replaced by e_1841: 

0=(q26 + q39)*(p4 + 3*p5)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1562. e_1562: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                   2      2      3   2
 (q37,q21,q20,p8,p5 ,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1844: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q37,q21,p5 ,p5,p6 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2595 31-Oct-2003 21:12:47, 40 ms (0%), 1533836 occupied, 23466050 free
Eliminate 
q20

from e_1848 and e_1862. e_1862: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                   2      2      3   2
 (q23,q21,q20,p8,p5 ,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1674: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q23,q21,p5 ,p5,p6 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q44

from e_2001 and e_1997. e_1997: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                       2
 (q44,q43,q29,q28,p5,p6 ,p6,p4)

is replaced by e_1864: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

               2   2
 (q43,q29,p5,p6 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2596 31-Oct-2003 21:12:48, 30 ms (0%), 1433649 occupied, 23566289 free
*** Garbage collection starting 
*** GC 2597 31-Oct-2003 21:12:50, 40 ms (0%), 1538945 occupied, 23460943 free
Eliminate 
q20

from e_1848 and e_1665. e_1665: 
 6 terms, 30 factors, with derivatives of functions of all variables: 

                    2      2         3   2
 (q65,q51,q21,q20,p8 ,p8,p5 ,p5,p6,p4 ,p4 ,p4)

is replaced by e_1845: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q65,q51,q21,p8,p5,p6,p4)


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 : 
The list of inequalities got extended by: 
An expression with 72 terms

The list of inequalities got extended by: 
An expression with 73 terms

The list of inequalities got extended by: 
An expression with 62 terms

Substitution of q65 by an expression in 
q51, q21, p8, p5, p6, p4 found in e_1845 : 10 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1925. e_1925: 
 8 terms, 40 factors, with derivatives of functions of all variables: 

                    2         2      3   2
 (q64,q43,q29,q20,p8 ,p8,p5,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1860: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                         3   2
 (q64,q43,q29,p8,p5,p6,p4 ,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2598 31-Oct-2003 21:12:51, 40 ms (0%), 1530565 occupied, 23469339 free
Eliminate 
q20

from e_1848 and e_1919. e_1919: 
 7 terms, 42 factors, with derivatives of functions of all variables: 

                    2      3   2      2      2
 (q64,q54,q45,q20,p8 ,p8,p5 ,p5 ,p5,p6 ,p6,p4 ,p4)

is replaced by e_1988: 
 5 terms, 25 factors, with derivatives of functions of all variables: 

                   2         2
 (q64,q54,q45,p8,p5 ,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1927. e_1927: 
 8 terms, 56 factors, with derivatives of functions of all variables: 

                    2      3   2      3   2      3   2
 (q60,q45,q21,q20,p8 ,p8,p5 ,p5 ,p5,p6 ,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1853: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                   2      2
 (q60,q45,q21,p8,p5 ,p5,p6 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2599 31-Oct-2003 21:12:52, 30 ms (0%), 1576415 occupied, 23423471 free
Eliminate 
q20

from e_1848 and e_1867. e_1867: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                                 2
 (q38,q37,q23,q21,q20,p8,p5,p6,p4 ,p4)

is replaced by e_1893: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q38,q37,q23,q21,p5,p6,p4)


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 : 
The list of inequalities got extended by: 
An expression with 122 terms

The list of inequalities got extended by: 
An expression with 134 terms

The list of inequalities got extended by: 
An expression with 136 terms
*** Garbage collection starting 
*** GC 2600 31-Oct-2003 21:12:54, 30 ms (0%), 1427464 occupied, 23572480 free

Substitution of q38 by an expression in 
q37, q23, q21, p5, p6, p4 found in e_1893 : 13 factors in 4 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2601 31-Oct-2003 21:12:55, 30 ms (0%), 1477638 occupied, 23522280 free
Eliminate 
q20

from e_1848 and e_1549. e_1549: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                           3   2         2
 (q64,q54,q24,q21,q20,p8,p5 ,p5 ,p5,p6,p4 ,p4)

is replaced by e_1904: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    3   2      2
 (q64,q54,q24,q21,p5 ,p5 ,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q20

from e_1848 and e_1888. e_1888: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                                 3   2
 (q56,q48,q39,q26,q20,p8,p5,p6,p4 ,p4 ,p4)

is replaced by e_1847: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q56,q48,q39,q26,p5,p4)


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 : 
The list of inequalities got extended by: 
An expression with 64 terms

The list of inequalities got extended by: 
An expression with 126 terms
*** Garbage collection starting 
*** GC 2602 31-Oct-2003 21:12:56, 40 ms (0%), 1463638 occupied, 23536298 free

The list of inequalities got extended by: 
An expression with 138 terms

The list of inequalities got extended by: 
An expression with 140 terms

Substitution of q56 by an expression in 
q48, q39, q26, p5, p4 found in e_1847 : 8 factors in 4 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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2603 31-Oct-2003 21:12:57, 40 ms (0%), 1464389 occupied, 23535533 free
*** Garbage collection starting 
*** GC 2604 31-Oct-2003 21:12:59, 50 ms (0%), 1579306 occupied, 23420579 free
Eliminate 
q44

from e_2001 and e_2002. e_2002: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                                2      2
 (q69,q68,q51,q44,q43,q29,q28,p6 ,p6,p4 ,p4)

is replaced by e_1855: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                            2      2
 (q69,q68,q51,q43,q29,q28,p6 ,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2605 31-Oct-2003 21:13:00, 30 ms (0%), 1499574 occupied, 23500338 free
Eliminate 
q64

from e_1860 and e_1913. e_1913: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                                 3   2
 (q64,q44,q43,q29,q28,p8,p5,p6,p4 ,p4 ,p4)

is replaced by e_1902: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q44,q43,q29,q28,p5,p6,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2606 31-Oct-2003 21:13:01, 50 ms (0%), 1594133 occupied, 23405747 free
*** Garbage collection starting 
*** GC 2607 31-Oct-2003 21:13:03, 40 ms (0%), 1557565 occupied, 23442311 free
Eliminate 
q20

from e_1848 and e_1966. e_1966: 
 11 terms, 77 factors, with derivatives of functions of all variables: 

                        2      3   2      3   2      3   2
 (q64,q54,q45,q21,q20,p8 ,p8,p5 ,p5 ,p5,p6 ,p6 ,p6,p4 ,p4 ,p4)

is replaced by e_1871: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

                       2      2      2
 (q64,q54,q45,q21,p8,p5 ,p5,p6 ,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2608 31-Oct-2003 21:13:04, 40 ms (0%), 1497861 occupied, 23502052 free
Eliminate 
q20

from e_1848 and e_1918. e_1918: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                            2            3
 (q44,q43,q39,q29,q26,q20,p8 ,p8,p5,p6,p4 ,p4)

is replaced by e_1892: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                                 2
 (q44,q43,q39,q29,q26,p8,p5,p6,p4 )


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2609 31-Oct-2003 21:13:05, 30 ms (0%), 1437722 occupied, 23562218 free
Eliminate 
q20

from e_1848 and e_1923. e_1923: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                            2            3   2
 (q43,q39,q29,q28,q26,q20,p8 ,p8,p5,p6,p4 ,p4 ,p4)

is replaced by e_1846: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                                 2
 (q43,q39,q29,q28,q26,p8,p5,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2610 31-Oct-2003 21:13:06, 40 ms (0%), 1567360 occupied, 23432507 free
Eliminate 
q44

from e_1902 and e_1998. e_1998: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                                   2      2
 (q69,q68,q46,q44,q43,q29,q28,p5,p6 ,p6,p4 ,p4)

is replaced by e_1863: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                               2      2
 (q69,q68,q46,q43,q29,q28,p5,p6 ,p6,p4 ,p4)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 2611 31-Oct-2003 21:13:08, 40 ms (0%), 1515492 occupied, 23484406 free
*** Garbage collection starting 
*** GC 2612 31-Oct-2003 21:13:09, 40 ms (0%), 1482052 occupied, 23517866 free
Eliminate 
q20

from e_1848 and e_1933. e_1933: 
 11 terms, 66 factors, with derivatives of functions of all variables: 

                            2      2      2      4   3   2
 (q64,q54,q45,q29,q21,q20,p8 ,p8,p5 ,p5,p6 ,p6,p4 ,p4 ,p4 ,p4)

is replaced by e_1895: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                           2      2      3   2
 (q64,q54,q45,q29,q21,p8,p5 ,p5,p6 ,p6,p4 ,p4 ,p4)


***** PREMATURE STOP DUE TO TIME CONSTRAINT! 

Time: 32610 ms  plus GC time: 960 ms

4: 
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5: 5: 
n

Time: 0 ms

6: 
Time: 0 ms

7: Do you want to merge solutions computed in this session,
i.e. since loading CRACK the last time?  (Y or N) ***** `bu243-31-Oct-sol_list' cannot be open for input

Time: 0 ms

8: This is a reminder for you to read in any file CRACK_OUT.RED
with a procedure CRACK_OUT() in case that is necessary to display
results following from solutions to be printed.

Do you want to print solutions computed in this session,
i.e. since loading CRACK the last time?  (Y or N) 
***** `bu243-31-Oct-sol_list' cannot be open for input

Time: 0 ms

9: 9: 9: 9: 
y /home/twolf/public_html/htdocs/susy/N2t6s14f3/N2t6s14f3 N2t6s14f3 bye$$$$

***** Missing operator 

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*** End-of-file read 

Quitting