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: "bu163-2-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 N1f0b2t7s12w45. ####### The system: b(1) =Db(2)*Db(1)*p9 + b(2) *p10 + b(2) *b(1)*p7 + b(1) *b(2)*p8 t 3x x x 3 b(2) =b(1) *p4 + Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *p6 + b(1) *b(1)*p1 t x x 4x 2x 2 + b(1) *p3 x It's symmetry: 4 b(1) =b(1) *q32 + Db(2)*Db(1)*b(2)*q21 + Db(2) *Db(2)*q34 + Db(1) *Db(1)*q33 s 2x 3x + Db(1) *Db(1) *q35 + Db(1) *Db(1)*b(1)*q22 + b(2) *b(2)*q24 2x x x 3x + b(2) *b(2) *q26 + b(2) *b(2)*b(1)*q29 + b(1) *q36 + b(1) *b(1)*q23 2x x x 6x 4x 2 2 2 + b(1) *b(1) *q25 + b(1) *q28 + b(1) *b(1) *q27 + b(1) *b(1)*q31 3x x 2x 2x x 2 + b(1) *b(2) *q30 x 3 b(2) =b(2)*b(1) *q15 + Db(2)*Db(1)*b(1) *q1 + Db(2) *Db(1)*q16 s x 3x + Db(2) *Db(1) *q18 + Db(2) *Db(1)*b(1)*q4 - Db(2) *Db(1) *q19 2x x x x 2x + Db(1) *Db(2)*q17 + Db(1) *Db(2)*b(1)*q2 + Db(1) *Db(1)*b(2)*q3 + b(2) *q20 3x x x 6x 2 + b(2) *b(1)*q5 + b(2) *b(1) *q7 + b(2) *b(1) *q10 + b(2) *b(1) *q9 4x 3x x 2x 2x 2x 2 + b(2) *b(2) *q13 + b(2) *b(1) *q8 + b(2) *b(1) *b(1)*q12 + b(1) *b(2)*q6 x x 3x x x 4x 2 + b(1) *b(2)*b(1)*q11 + b(1) *b(2)*q14 2x x {q35,q34,q33,q22,q21,q19,q18,q17,q16,q4,q3,q2,q1,p9,p5} {p6,p5,p4,p3,p1} {q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1} {q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21} {p10,p9,p8,p7} Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=q36*b(1) 6x df(b(2),s)=q20*b(2) 6x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=Db(2) *Db(2)*q34 + Db(1) *Db(1)*q33 + Db(1) *Db(1) *q35 2x 3x 2x x + b(2) *b(2)*q24 + b(2) *b(2) *q26 + b(1) *b(1)*q23 3x 2x x 4x 2 + b(1) *b(1) *q25 + b(1) *q28 3x x 2x df(b(2),s)=Db(2) *Db(1)*q16 + Db(2) *Db(1) *q18 - Db(2) *Db(1) *q19 3x 2x x x 2x + Db(1) *Db(2)*q17 + b(2) *b(1)*q5 + b(2) *b(1) *q7 3x 4x 3x x + b(2) *b(1) *q9 + b(2) *b(1) *q8 + b(1) *b(2)*q6 2x 2x x 3x 4x Pairing now degree 2 terms from the system with degree 1 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=q36*b(1) 6x df(b(2),s)=q20*b(2) 6x Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=Db(2)*Db(1)*b(2)*q21 + Db(1) *Db(1)*b(1)*q22 + b(2) *b(2)*b(1)*q29 x x 2 2 2 + b(1) *b(1) *q27 + b(1) *b(1)*q31 + b(1) *b(2) *q30 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q1 + Db(2) *Db(1)*b(1)*q4 + Db(1) *Db(2)*b(1)*q2 x x x 2 2 + Db(1) *Db(1)*b(2)*q3 + b(2) *b(1) *q10 + b(2) *b(2) *q13 x 2x x 2 + b(2) *b(1) *b(1)*q12 + b(1) *b(2)*b(1)*q11 + b(1) *b(2)*q14 x x 2x x Pairing now degree 2 terms from the system with degree 2 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=Db(2) *Db(2)*q34 + Db(1) *Db(1)*q33 + Db(1) *Db(1) *q35 2x 3x 2x x + b(2) *b(2)*q24 + b(2) *b(2) *q26 + b(1) *b(1)*q23 3x 2x x 4x 2 + b(1) *b(1) *q25 + b(1) *q28 3x x 2x df(b(2),s)=Db(2) *Db(1)*q16 + Db(2) *Db(1) *q18 - Db(2) *Db(1) *q19 3x 2x x x 2x + Db(1) *Db(2)*q17 + b(2) *b(1)*q5 + b(2) *b(1) *q7 3x 4x 3x x + b(2) *b(1) *q9 + b(2) *b(1) *q8 + b(1) *b(2)*q6 2x 2x x 3x 4x *** Garbage collection starting *** GC 1 2-Oct-2003 11:46:50, 20 ms (0%), 933911 occupied, 24066041 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=q36*b(1) 6x df(b(2),s)=q20*b(2) 6x *** Garbage collection starting *** GC 2 2-Oct-2003 11:47:00, 30 ms (0%), 965125 occupied, 24034827 free Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x 4 df(b(1),s)=b(1) *q32 3 df(b(2),s)=b(2)*b(1) *q15 Pairing now degree 2 terms from the system with degree 3 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=Db(2)*Db(1)*b(2)*q21 + Db(1) *Db(1)*b(1)*q22 + b(2) *b(2)*b(1)*q29 x x 2 2 2 + b(1) *b(1) *q27 + b(1) *b(1)*q31 + b(1) *b(2) *q30 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q1 + Db(2) *Db(1)*b(1)*q4 + Db(1) *Db(2)*b(1)*q2 x x x 2 2 + Db(1) *Db(1)*b(2)*q3 + b(2) *b(1) *q10 + b(2) *b(2) *q13 x 2x x 2 + b(2) *b(1) *b(1)*q12 + b(1) *b(2)*b(1)*q11 + b(1) *b(2)*q14 x x 2x x Pairing now degree 3 terms from the system with degree 2 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=Db(2) *Db(2)*q34 + Db(1) *Db(1)*q33 + Db(1) *Db(1) *q35 2x 3x 2x x + b(2) *b(2)*q24 + b(2) *b(2) *q26 + b(1) *b(1)*q23 3x 2x x 4x 2 + b(1) *b(1) *q25 + b(1) *q28 3x x 2x df(b(2),s)=Db(2) *Db(1)*q16 + Db(2) *Db(1) *q18 - Db(2) *Db(1) *q19 3x 2x x x 2x + Db(1) *Db(2)*q17 + b(2) *b(1)*q5 + b(2) *b(1) *q7 3x 4x 3x x + b(2) *b(1) *q9 + b(2) *b(1) *q8 + b(1) *b(2)*q6 2x 2x x 3x 4x Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x 4 df(b(1),s)=b(1) *q32 3 df(b(2),s)=b(2)*b(1) *q15 *** Garbage collection starting *** GC 3 2-Oct-2003 11:47:10, 30 ms (0%), 938573 occupied, 24061379 free Pairing now degree 3 terms from the system with degree 3 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=Db(2)*Db(1)*b(2)*q21 + Db(1) *Db(1)*b(1)*q22 + b(2) *b(2)*b(1)*q29 x x 2 2 2 + b(1) *b(1) *q27 + b(1) *b(1)*q31 + b(1) *b(2) *q30 2x x x df(b(2),s)=Db(2)*Db(1)*b(1) *q1 + Db(2) *Db(1)*b(1)*q4 + Db(1) *Db(2)*b(1)*q2 x x x 2 2 + Db(1) *Db(1)*b(2)*q3 + b(2) *b(1) *q10 + b(2) *b(2) *q13 x 2x x 2 + b(2) *b(1) *b(1)*q12 + b(1) *b(2)*b(1)*q11 + b(1) *b(2)*q14 x x 2x x Generating all terms of total degree 7 Pairing now degree 3 terms from the system with degree 4 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 4 df(b(1),s)=b(1) *q32 3 df(b(2),s)=b(2)*b(1) *q15 Now crack is called. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is CRACK - a solver for overdetermined partial differential equations Enter `h' for help. The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 4 terms *** Garbage collection starting *** GC 4 2-Oct-2003 11:47:27, 30 ms (0%), 974496 occupied, 24025456 free *** Garbage collection starting *** GC 5 2-Oct-2003 11:47:31, 30 ms (0%), 1037142 occupied, 23962810 free *** Garbage collection starting *** GC 6 2-Oct-2003 11:47:35, 30 ms (0%), 995410 occupied, 24004542 free *** Garbage collection starting *** GC 7 2-Oct-2003 11:47:38, 30 ms (0%), 1042566 occupied, 23957386 free *** Garbage collection starting *** GC 8 2-Oct-2003 11:47:44, 30 ms (0%), 1021768 occupied, 23978184 free *** Garbage collection starting *** GC 9 2-Oct-2003 11:47:50, 30 ms (0%), 1048052 occupied, 23951900 free *** Garbage collection starting *** GC 10 2-Oct-2003 11:47:56, 40 ms (0%), 1096320 occupied, 23903632 free *** Garbage collection starting *** GC 11 2-Oct-2003 11:48:03, 30 ms (0%), 991528 occupied, 24008424 free old input: l Select a method by its number that is to be executed repeatedly: old input: 2 To repeat this method as often as possible, enter `;' To repeat this method as often as possible, but at most a number of n times, enter n : old input: ; Step 1: separation w.r.t. x linear independent expressions : 3 b(1) *Db(1)*Db(2) 4 b(1) *b(2) x 3 b(1) *b(2)*b(1) x Separation of e_3 yields (e_15 e_14 e_13) Step 2: separation w.r.t. x linear independent expressions : 2 b(1) *b(2)*Db(1)*Db(2) 3 b(1) *Db(1)*Db(1) x 3 b(1) *b(2)*b(2) x 4 b(1) *b(1) 2x 3 2 b(1) *b(1) x 2 2 b(1) *b(2) *b(1) x Separation of e_4 yields (e_21 e_19 e_16 e_18 e_20 e_17) e_21 is a consequence of e_15. Step 3: separation w.r.t. x linear independent expressions : Db(2)*Db(2) 6x Db(2) *Db(2) x 5x Db(2) *Db(2) 2x 4x Db(1)*Db(1) 7x Db(1) *Db(1) x 6x Db(1) *Db(1) 2x 5x Db(1) *Db(1) 3x 4x b(2)*b(2) 7x b(2) *b(2) x 6x b(2) *b(2) 2x 5x b(2) *b(2) 3x 4x b(1)*b(1) 8x b(1) *b(1) x 7x b(1) *b(1) 2x 6x b(1) *b(1) 3x 5x 2 b(1) 4x Separation of e_10 yields (e_37 e_36 e_35 e_30 e_34 e_32 e_31 e_29 e_28 e_26 e_33 e_27 e_25 e_23 e_22 e_24) Step 4: separation w.r.t. x linear independent expressions : Db(1)*Db(2) 6x Db(1) *Db(2) x 5x Db(1) *Db(2) 2x 4x Db(1) *Db(2) 3x 3x Db(1) *Db(2) 4x 2x Db(1) *Db(2) 5x x Db(2)*Db(1) 6x b(1)*b(2) 7x b(1) *b(2) x 6x b(1) *b(2) 2x 5x b(1) *b(2) 3x 4x b(1) *b(2) 4x 3x b(1) *b(2) 5x 2x b(1) *b(2) 6x x b(2)*b(1) 7x *** Garbage collection starting *** GC 12 2-Oct-2003 11:48:05, 30 ms (0%), 994568 occupied, 24005382 free Separation of e_9 yields (e_46 e_38 e_47 e_52 e_51 e_45 e_39 e_50 e_48 e_49 e_44 e_43 e_40 e_42 e_41) e_46 is a consequence of e_37. e_38 is a consequence of e_30. Step 5: separation w.r.t. x linear independent expressions : b(2)*b(2) *Db(1)*Db(2) x b(1)*b(1) *Db(1)*Db(2) 2x 2 b(1) *Db(1)*Db(2) x 2 b(1) *Db(1)*Db(2) 2x b(1)*b(2)*Db(2)*Db(2) x 2 b(2) *Db(1)*Db(2) x b(1)*b(1) *Db(1)*Db(2) x x 2 b(1) *Db(1) *Db(2) x x 2 b(1) *Db(2)*Db(1) 2x b(1)*b(2)*Db(1)*Db(1) 2x b(1)*b(1) *Db(2)*Db(1) x x b(1)*b(2) *Db(1)*Db(1) x x b(2)*b(1) *Db(1)*Db(1) x x 3 b(1) *b(2) 3x 2 b(1)*b(2) *b(2) 2x 2 b(1) *b(1) *b(2) x 2x 2 b(1)*b(2)*b(2) x 2 b(1) *b(1) *b(2) 2x x 2 b(1)*b(1) *b(2) x x 2 b(2) *b(1) *b(2) x x 2 b(1) *b(2)*b(1) 3x b(1)*b(2)*b(1) *b(1) x 2x 3 b(2)*b(1) x Separation of e_5 yields (e_71 e_67 e_75 e_59 e_56 e_70 e_68 e_66 e_61 e_55 e_53 e_73 e_72 e_62 e_65 e_63 e_74 e_64 e_58 e_60 e_57 e_54 e_69) Step 6: separation w.r.t. x linear independent expressions : b(1)*b(2) *Db(1)*Db(2) 2x b(1) *b(2) *Db(1)*Db(2) x x b(2)*b(1) *Db(1)*Db(2) 2x 2 b(1) *Db(2)*Db(2) 2x b(1)*b(2)*Db(1)*Db(2) 2x b(1)*b(1) *Db(2)*Db(2) x x b(1)*b(2) *Db(1)*Db(2) x x b(2)*b(1) *Db(1)*Db(2) x x b(1)*b(2)*Db(1) *Db(2) x x 2 b(1) *Db(1)*Db(1) 3x b(1)*b(2)*Db(2)*Db(1) 2x 2 b(2) *Db(1)*Db(1) 2x b(1)*b(1) *Db(1)*Db(1) x 2x 2 b(1) *Db(1) *Db(1) x 2x b(1)*b(2) *Db(2)*Db(1) x x b(2)*b(1) *Db(2)*Db(1) x x b(2)*b(2) *Db(1)*Db(1) x x b(1)*b(1) *Db(1)*Db(1) 2x x 2 b(1) *Db(1)*Db(1) x x 2 b(1) *b(2)*b(2) 3x 2 b(1) *b(2) *b(2) x 2x b(1)*b(2)*b(1) *b(2) x 2x 2 b(1)*b(1) *b(2) x x b(1)*b(2)*b(1) *b(2) 2x x 2 b(2)*b(1) *b(2) x x 3 b(1) *b(1) 4x 2 b(1)*b(2) *b(1) 3x 2 b(1) *b(1) *b(1) x 3x 2 2 b(1) *b(1) 2x 2 b(1)*b(1) *b(1) x 2x 2 b(2) *b(1) *b(1) x 2x 4 b(1) x *** Garbage collection starting *** GC 13 2-Oct-2003 11:48:07, 30 ms (0%), 1003524 occupied, 23996426 free *** Garbage collection starting *** GC 14 2-Oct-2003 11:48:10, 30 ms (0%), 1009216 occupied, 23990734 free Separation of e_6 yields (e_104 e_103 e_97 e_96 e_88 e_81 e_76 e_87 e_85 e_102 e_101 e_99 e_93 e_107 e_98 e_94 e_82 e_106 e_105 e_91 e_86 e_84 e_83 e_77 e_89 e_79 e_100 e_92 e_80 e_95 e_90 e_78) e_104 is a consequence of e_67. e_103 is a consequence of e_66. e_88 is a consequence of e_55. Step 7: separation w.r.t. x linear independent expressions : b(1) *Db(1)*Db(2) 4x b(1)*Db(1)*Db(2) 4x b(2)*Db(2)*Db(2) 3x b(1) *Db(1)*Db(2) x 3x b(1)*Db(1) *Db(2) x 3x b(2) *Db(2)*Db(2) x 2x b(1) *Db(1)*Db(2) 2x 2x b(2)*Db(2) *Db(2) x 2x b(1)*Db(1) *Db(2) 2x 2x b(1) *Db(1) *Db(2) x x 2x b(2) *Db(2)*Db(2) 2x x b(1) *Db(1)*Db(2) 3x x b(1)*Db(1) *Db(2) 3x x b(1) *Db(1) *Db(2) x 2x x b(1) *Db(1) *Db(2) 2x x x b(1)*Db(2)*Db(1) 4x b(2)*Db(1)*Db(1) 4x b(1) *Db(2)*Db(1) x 3x b(2) *Db(1)*Db(1) x 3x b(2)*Db(1) *Db(1) x 3x b(1) *Db(2)*Db(1) 2x 2x b(2) *Db(1)*Db(1) 2x 2x b(2) *Db(1) *Db(1) x x 2x b(1) *Db(2)*Db(1) 3x x b(2) *Db(1)*Db(1) 3x x 2 b(1) *b(2) 5x 2 b(2) *b(2) 4x b(1)*b(1) *b(2) x 4x b(2)*b(2) *b(2) x 3x b(1)*b(1) *b(2) 2x 3x 2 b(1) *b(2) x 3x 2 b(2)*b(2) 2x 2 b(2) *b(2) x 2x b(1)*b(1) *b(2) 3x 2x b(1) *b(1) *b(2) x 2x 2x b(1)*b(1) *b(2) 4x x b(1) *b(1) *b(2) x 3x x 2 b(1) *b(2) 2x x b(1)*b(2)*b(1) 5x b(2)*b(1) *b(1) x 4x b(2)*b(1) *b(1) 2x 3x *** Garbage collection starting *** GC 15 2-Oct-2003 11:48:19, 30 ms (0%), 1004640 occupied, 23995310 free Separation of e_7 yields (e_141 e_138 e_129 e_133 e_116 e_146 e_143 e_132 e_123 e_122 e_117 e_110 e_108 e_126 e_147 e_136 e_109 e_144 e_140 e_134 e_130 e_128 e_125 e_120 e_111 e_148 e_137 e_135 e_131 e_118 e_113 e_112 e_145 e_127 e_121 e_115 e_142 e_139 e_124 e_119 e_114) Step 8: separation w.r.t. x linear independent expressions : b(2) *Db(1)*Db(2) 4x b(1)*Db(2)*Db(2) 4x b(2)*Db(1)*Db(2) 4x b(1) *Db(2)*Db(2) x 3x b(2) *Db(1)*Db(2) x 3x b(1)*Db(2) *Db(2) x 3x b(2)*Db(1) *Db(2) x 3x b(1) *Db(2)*Db(2) 2x 2x b(2) *Db(1)*Db(2) 2x 2x b(1) *Db(2) *Db(2) x x 2x b(2)*Db(1) *Db(2) 2x 2x b(2) *Db(1) *Db(2) x x 2x b(1) *Db(2)*Db(2) 3x x b(2) *Db(1)*Db(2) 3x x b(2)*Db(1) *Db(2) 3x x b(2) *Db(1) *Db(2) x 2x x b(2) *Db(1) *Db(2) 2x x x b(1)*Db(1)*Db(1) 5x b(2)*Db(2)*Db(1) 4x b(1) *Db(1)*Db(1) x 4x b(1)*Db(1) *Db(1) x 4x b(2) *Db(2)*Db(1) x 3x b(1) *Db(1)*Db(1) 2x 3x b(1)*Db(1) *Db(1) 2x 3x b(1) *Db(1) *Db(1) x x 3x b(2) *Db(2)*Db(1) 2x 2x b(1) *Db(1)*Db(1) 3x 2x b(1) *Db(1) *Db(1) 2x x 2x b(2) *Db(2)*Db(1) 3x x b(1) *Db(1)*Db(1) 4x x b(1)*b(2)*b(2) 5x b(1)*b(2) *b(2) x 4x b(2)*b(1) *b(2) x 4x b(1)*b(2) *b(2) 2x 3x b(1) *b(2) *b(2) x x 3x b(2)*b(1) *b(2) 2x 3x 2 b(1) *b(2) x 2x b(1) *b(2) *b(2) 2x x 2x b(2)*b(1) *b(2) 3x 2x 2 b(1) *b(2) 3x x b(2)*b(1) *b(2) 4x x 2 b(1) *b(1) 6x 2 b(2) *b(1) 5x b(1)*b(1) *b(1) x 5x b(1)*b(1) *b(1) 2x 4x 2 b(1) *b(1) x 4x 2 b(1)*b(1) 3x b(1) *b(1) *b(1) x 2x 3x 3 b(1) 2x *** Garbage collection starting *** GC 16 2-Oct-2003 11:48:21, 30 ms (0%), 1023036 occupied, 23976914 free *** Garbage collection starting *** GC 17 2-Oct-2003 11:48:50, 30 ms (0%), 1012510 occupied, 23987440 free *** Garbage collection starting *** GC 18 2-Oct-2003 11:48:52, 30 ms (0%), 1023762 occupied, 23976188 free Separation of e_8 yields (e_196 e_195 e_192 e_187 e_183 e_179 e_167 e_158 e_155 e_185 e_176 e_191 e_190 e_182 e_180 e_174 e_172 e_161 e_159 e_156 e_149 e_194 e_189 e_188 e_181 e_177 e_166 e_164 e_197 e_193 e_186 e_171 e_165 e_162 e_160 e_157 e_151 e_184 e_169 e_152 e_178 e_170 e_163 e_154 e_173 e_153 e_175 e_168 e_150) e_196 is a consequence of e_133. e_195 is a consequence of e_132. e_167 is a consequence of e_110. Step 9: 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 : 179 total no of terms : 1119 total no of factors : 2234 179 equations in 0 variables: e_95(12),e_90(12),e_78(12),e_175(12),e_168(12),e_150(12),e_80(11), e_114(11),e_173(11),e_153(11),e_100(10),e_92(10),e_142(10),e_139(10), e_124(10),e_119(10),e_178(10),e_170(10),e_163(10),e_154(10),e_69(9), e_89(9),e_79(9),e_145(9),e_127(9),e_121(9),e_115(9),e_184(9),e_169(9), e_152(9),e_41(8),e_60(8),e_57(8),e_54(8),e_106(8),e_105(8),e_91(8), e_86(8),e_84(8),e_83(8),e_77(8),e_148(8),e_137(8),e_135(8),e_131(8), e_118(8),e_113(8),e_112(8),e_197(8),e_193(8),e_186(8),e_171(8), e_165(8),e_162(8),e_160(8),e_157(8),e_151(8),e_17(7),e_24(7),e_42(7), e_74(7),e_64(7),e_58(7),e_107(7),e_98(7),e_94(7),e_82(7),e_144(7), e_140(7),e_134(7),e_130(7),e_128(7),e_125(7),e_120(7),e_111(7), e_194(7),e_189(7),e_188(7),e_181(7),e_177(7),e_166(7),e_164(7), e_20(6),e_25(6),e_23(6),e_22(6),e_49(6),e_44(6),e_43(6),e_40(6), e_65(6),e_63(6),e_102(6),e_101(6),e_99(6),e_93(6),e_147(6),e_136(6), e_109(6),e_191(6),e_190(6),e_182(6),e_180(6),e_174(6),e_172(6), e_161(6),e_159(6),e_156(6),e_149(6),e_18(5),e_33(5),e_27(5),e_50(5), e_48(5),e_73(5),e_72(5),e_62(5),e_87(5),e_85(5),e_126(5),e_185(5), e_176(5),e_13(4),e_19(4),e_16(4),e_34(4),e_32(4),e_31(4),e_29(4), e_28(4),e_26(4),e_52(4),e_51(4),e_45(4),e_39(4),e_70(4),e_68(4), e_66(4),e_61(4),e_55(4),e_53(4),e_97(4),e_96(4),e_81(4),e_76(4), e_146(4),e_143(4),e_132(4),e_123(4),e_122(4),e_117(4),e_110(4), e_108(4),e_192(4),e_187(4),e_183(4),e_179(4),e_158(4),e_155(4), e_14(3),e_47(3),e_75(3),e_59(3),e_56(3),e_133(3),e_116(3),e_15(2), e_37(2),e_36(2),e_35(2),e_30(2),e_71(2),e_67(2),e_138(2),e_129(2), e_2(2#),e_11(2#),e_12(2#),e_141(2#) 46 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, 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 old input: w Enter a list of equations, like e2,e5,e35; from: e_141,e_12,e_11,e_2,e_129,e_138,e_67,e_71,e_30,e_35,e_36,e_37,e_15,e_116,e_133, e_56,e_59,e_75,e_47,e_14,e_155,e_158,e_179,e_183,e_187,e_192,e_108,e_110,e_117, e_122,e_123,e_132,e_143,e_146,e_76,e_81,e_96,e_97,e_53,e_55,e_61,e_66,e_68,e_70, e_39,e_45,e_51,e_52,e_26,e_28,e_29,e_31,e_32,e_34,e_16,e_19,e_13,e_176,e_185, e_126,e_85,e_87,e_62,e_72,e_73,e_48,e_50,e_27,e_33,e_18,e_149,e_156,e_159,e_161, e_172,e_174,e_180,e_182,e_190,e_191,e_109,e_136,e_147,e_93,e_99,e_101,e_102,e_63 ,e_65,e_40,e_43,e_44,e_49,e_22,e_23,e_25,e_20,e_164,e_166,e_177,e_181,e_188, e_189,e_194,e_111,e_120,e_125,e_128,e_130,e_134,e_140,e_144,e_82,e_94,e_98,e_107 ,e_58,e_64,e_74,e_42,e_24,e_17,e_151,e_157,e_160,e_162,e_165,e_171,e_186,e_193, e_197,e_112,e_113,e_118,e_131,e_135,e_137,e_148,e_77,e_83,e_84,e_86,e_91,e_105, e_106,e_54,e_57,e_60,e_41,e_152,e_169,e_184,e_115,e_121,e_127,e_145,e_79,e_89, e_69,e_154,e_163,e_170,e_178,e_119,e_124,e_139,e_142,e_92,e_100,e_153,e_173, e_114,e_80,e_150,e_168,e_175,e_78,e_90,e_95 To write all equations just enter ; old input: nil Shall the name of the equation be written? (y/n) old input: n Please give the name of the file in double quotes without `;' : old input: w old input: cr These are all the user defined rules: {} You can either - give the number of a rule above to be dropped, or - give the name of a rule list activated before the call of CRACK which should be disabled: old input: ssrules Rule list ssrules has been disabled. old input: dp old input: sb Please give the name of the file in double quotes without `;' : old input: 0 next: next: next: Please type in a list of the numbers 1 .. 60, like 1,2,5,4,..,15; which will be the new priority list of procedures done by CRACK. Numbers stand for the following actions: 1 : Hot list of urgent steps 2 : Direct separation 3 : Substitution of <=2 terms, only fcts. of less vars., no cases 4 : Substitution of <=2 terms, alg. expressions, no cases 5 : Substitution of <=1000 terms, alg. expressions, no cases 6 : Substitution, minimal growth, with max 100 add. terms, no cases 7 : Integration of a first order de with at most two terms. 8 : Factorization to subcases leading to substitutions 9 : Substitution of derivatives by new functions 10 : Indirect separation of <6 or >300 terms 11 : Algebraic length reduction of equations 12 : Find and drop linear dependent general equations 13 : Find a linear dependent equation with only 1 term 14 : Triangularize a linear algebraic system 15 : Substitution of <=8 terms in <=1000 terms, fcts. of less vars. 16 : Substitution of <=20 terms in <=1000 terms 17 : Substitution of <=1000 terms, minimal growth 18 : Substitution of <=1000 terms, fcts. of less vars., no cases 19 : Substitution of <=1000 terms only linear expressions, f-indep. coeff. 20 : Substitution of <=1000 terms, no cases 21 : Substitution of <=1000 terms 22 : The parametric solution of underdetermined ODE 23 : The parametric solution of underdetermined PDE 24 : Integration of a pde such that a function can be subst. 25 : Any integration 26 : Indirect separation of equations of any size 27 : Length reducing decoupling steps 28 : Delete redundant equations 29 : Integrate an identity 30 : Do one decoupling step 31 : Differentiate pdes with nonlinear leading derivs 32 : Differentiate indirectly separable equations 33 : Find an integrating factor for a set of pde's 34 : Solving an algebraic equation. 35 : Solving equations for fnct.s or deriv.s algebraically 36 : Undo Substitutions of derivatives by new functions 37 : Changing the list of priorities 38 : Stop batch mode 39 : Find a transformation to integrate a 1st order PDE 40 : Drop redundant functions and constants 41 : Solve a subset of equations first 42 : Find and drop linear dependent bi-linear equations 43 : Find factorizable bi-linear equations 44 : Consider a given expression to be zero and non-zero 45 : Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases 46 : Find symmetries and then first integrals for an ODE 47 : Any factorization 48 : Alternative indirect separation of non-lin equations 49 : Find sub-systems with 2 non-flin_ functions 50 : Find sub-systems with 3 non-flin_ functions 51 : Find sub-systems with 4 non-flin_ functions 52 : Find sub-systems with 5 non-flin_ functions 53 : Find sub-systems with 2 flin_ functions 54 : Find sub-systems with 3 flin_ functions 55 : Find sub-systems with 4 flin_ functions 56 : Find sub-systems with 5 flin_ functions 57 : Do one high priority decoupling step 58 : user_defined 59 : Computation of the algebraic Groebner basis 60 : Check whether a given solution is contained The list so far was: 1,3,45,11,27,8,20,30,47,21,38; The new list: next: There is no time-limit set currently. After time has expired, shall CRACK go into interactive mode (1) or shall CRACK terminate with error (2) ? How many hours? How many minutes? next: Step 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 : *** Garbage collection starting *** GC 19 2-Oct-2003 11:48:55, 30 ms (0%), 1018476 occupied, 23981474 free --- 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 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 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 : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 18: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 19: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 20: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 22: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 23: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 24: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 26: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 27: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 28: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 20 2-Oct-2003 11:48:58, 30 ms (0%), 1018696 occupied, 23981254 free shortening by 1 term Step 29: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 30: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms 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 2 terms 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 4 terms 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 2 terms 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 2 terms Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 38: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 : shortening by 2 terms Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 47: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 48: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 21 2-Oct-2003 11:49:00, 30 ms (0%), 1018616 occupied, 23981334 free shortening by 6 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 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 2 terms Step 52: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 53: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 54: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 55: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms 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 4 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 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 2 terms 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 2 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 22 2-Oct-2003 11:49:02, 30 ms (0%), 1017796 occupied, 23982154 free *** Garbage collection starting *** GC 23 2-Oct-2003 11:49:04, 30 ms (0%), 1018924 occupied, 23981026 free *** Garbage collection starting *** GC 24 2-Oct-2003 11:49:06, 40 ms (0%), 1019746 occupied, 23980204 free *** Garbage collection starting *** GC 25 2-Oct-2003 11:49:07, 30 ms (0%), 1020076 occupied, 23979874 free *** Garbage collection starting *** GC 26 2-Oct-2003 11:49:09, 30 ms (0%), 1020172 occupied, 23979778 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_35 and e_36. e_36: 0=p10*q19 - 4*p6*q34 is replaced by e_5: 0=(4*q18 + 5*q19)*p10 Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 27 2-Oct-2003 11:49:14, 40 ms (0%), 1018274 occupied, 23981676 free *** Garbage collection starting *** GC 28 2-Oct-2003 11:49:15, 30 ms (0%), 1019508 occupied, 23980442 free *** Garbage collection starting *** GC 29 2-Oct-2003 11:49:17, 30 ms (0%), 1020036 occupied, 23979914 free *** Garbage collection starting *** GC 30 2-Oct-2003 11:49:19, 30 ms (0%), 1020610 occupied, 23979340 free *** Garbage collection starting *** GC 31 2-Oct-2003 11:49:20, 40 ms (0%), 1021330 occupied, 23978620 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_5 and e_265. e_265: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q35,q19,q18,p10,p9) is replaced by e_143: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q35,q18,p10,p9) Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 66: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 32 2-Oct-2003 11:49:22, 30 ms (0%), 1019102 occupied, 23980848 free *** Garbage collection starting *** GC 33 2-Oct-2003 11:49:24, 40 ms (0%), 1020002 occupied, 23979948 free *** Garbage collection starting *** GC 34 2-Oct-2003 11:49:26, 30 ms (0%), 1020582 occupied, 23979368 free *** Garbage collection starting *** GC 35 2-Oct-2003 11:49:27, 30 ms (0%), 1020776 occupied, 23979174 free *** Garbage collection starting *** GC 36 2-Oct-2003 11:49:29, 40 ms (0%), 1020842 occupied, 23979108 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_35 and e_37. e_35: 0=p10*q18 + 5*p6*q34 is replaced by e_48: 0=(5*q17 + q18)*p10 Step 67: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 37 2-Oct-2003 11:49:31, 40 ms (0%), 1019416 occupied, 23980534 free *** Garbage collection starting *** GC 38 2-Oct-2003 11:49:33, 30 ms (0%), 1020234 occupied, 23979716 free *** Garbage collection starting *** GC 39 2-Oct-2003 11:49:34, 40 ms (0%), 1021032 occupied, 23978918 free *** Garbage collection starting *** GC 40 2-Oct-2003 11:49:36, 40 ms (0%), 1021482 occupied, 23978468 free *** Garbage collection starting *** GC 41 2-Oct-2003 11:49:38, 30 ms (0%), 1021570 occupied, 23978380 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_141 and e_146. e_146: 4 terms, 8 factors, with derivatives of functions of all variables: (q34,q24,q21,p10,p9,p8,p2) is replaced by e_207: 0=p10*q21 - p9*q24 Step 68: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 42 2-Oct-2003 11:49:40, 30 ms (0%), 1020042 occupied, 23979908 free *** Garbage collection starting *** GC 43 2-Oct-2003 11:49:42, 40 ms (0%), 1020760 occupied, 23979190 free *** Garbage collection starting *** GC 44 2-Oct-2003 11:49:44, 40 ms (0%), 1021382 occupied, 23978568 free *** Garbage collection starting *** GC 45 2-Oct-2003 11:49:45, 40 ms (0%), 1022178 occupied, 23977772 free *** Garbage collection starting *** GC 46 2-Oct-2003 11:49:47, 30 ms (0%), 1022480 occupied, 23977470 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_5 and e_222. e_222: 5 terms, 10 factors, with derivatives of functions of all variables: (q36,q33,q19,q18,q16,p10,p9) is replaced by e_210: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q33,q18,q16,p10,p9) Step 69: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 47 2-Oct-2003 11:49:49, 40 ms (0%), 1019890 occupied, 23980060 free *** Garbage collection starting *** GC 48 2-Oct-2003 11:49:51, 30 ms (0%), 1021240 occupied, 23978710 free *** Garbage collection starting *** GC 49 2-Oct-2003 11:49:52, 30 ms (0%), 1022060 occupied, 23977890 free *** Garbage collection starting *** GC 50 2-Oct-2003 11:49:54, 30 ms (0%), 1022592 occupied, 23977358 free *** Garbage collection starting *** GC 51 2-Oct-2003 11:49:56, 40 ms (0%), 1023040 occupied, 23976910 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_48 and e_143. e_143: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q35,q18,p10,p9) is replaced by e_215: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q35,q17,p10,p9) Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 52 2-Oct-2003 11:49:59, 30 ms (0%), 1019962 occupied, 23979988 free *** Garbage collection starting *** GC 53 2-Oct-2003 11:50:00, 30 ms (0%), 1021024 occupied, 23978926 free *** Garbage collection starting *** GC 54 2-Oct-2003 11:50:02, 40 ms (0%), 1022210 occupied, 23977740 free *** Garbage collection starting *** GC 55 2-Oct-2003 11:50:04, 40 ms (0%), 1023040 occupied, 23976910 free *** Garbage collection starting *** GC 56 2-Oct-2003 11:50:06, 40 ms (0%), 1023622 occupied, 23976328 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_5 and e_47. e_47: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q19,q17,p10,p9) is replaced by e_70: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q18,q17,p10,p9) Step 71: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 57 2-Oct-2003 11:50:08, 40 ms (0%), 1021158 occupied, 23978792 free shortening by 1 term Step 72: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 58 2-Oct-2003 11:50:09, 30 ms (0%), 1020426 occupied, 23979524 free 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 1 term Step 75: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 59 2-Oct-2003 11:50:11, 30 ms (0%), 1020016 occupied, 23979934 free *** Garbage collection starting *** GC 60 2-Oct-2003 11:50:13, 30 ms (0%), 1022548 occupied, 23977402 free shortening by 1 term Step 76: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 77: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 78: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 61 2-Oct-2003 11:50:15, 30 ms (0%), 1019450 occupied, 23980500 free shortening by 1 term Step 79: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 62 2-Oct-2003 11:50:17, 30 ms (0%), 1021772 occupied, 23978178 free *** Garbage collection starting *** GC 63 2-Oct-2003 11:50:19, 30 ms (0%), 1023956 occupied, 23975994 free shortening by 1 term Step 80: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 64 2-Oct-2003 11:50:20, 30 ms (0%), 1021806 occupied, 23978144 free shortening by 1 term Step 81: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 82: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 65 2-Oct-2003 11:50:22, 40 ms (0%), 1020040 occupied, 23979910 free *** Garbage collection starting *** GC 66 2-Oct-2003 11:50:24, 40 ms (0%), 1021516 occupied, 23978434 free 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 : *** Garbage collection starting *** GC 67 2-Oct-2003 11:50:26, 30 ms (1%), 1019884 occupied, 23980066 free shortening by 2 terms Step 85: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 68 2-Oct-2003 11:50:28, 30 ms (1%), 1022284 occupied, 23977666 free shortening by 1 term Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 69 2-Oct-2003 11:50:29, 30 ms (1%), 1022498 occupied, 23977451 free *** Garbage collection starting *** GC 70 2-Oct-2003 11:50:31, 30 ms (1%), 1024670 occupied, 23975279 free shortening by 1 term Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 88: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 71 2-Oct-2003 11:50:33, 40 ms (1%), 1021718 occupied, 23978232 free *** Garbage collection starting *** GC 72 2-Oct-2003 11:50:35, 30 ms (1%), 1022532 occupied, 23977418 free *** Garbage collection starting *** GC 73 2-Oct-2003 11:50:37, 30 ms (1%), 1023146 occupied, 23976804 free *** Garbage collection starting *** GC 74 2-Oct-2003 11:50:38, 30 ms (1%), 1023896 occupied, 23976054 free *** Garbage collection starting *** GC 75 2-Oct-2003 11:50:40, 30 ms (1%), 1024476 occupied, 23975474 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_48 and e_70. e_70: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q18,q17,p10,p9) is replaced by e_266: 0=7*p10*q17 + 6*p9*q36 Step 89: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 90: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 91: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 92: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 93: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 76 2-Oct-2003 11:50:42, 30 ms (1%), 1020430 occupied, 23979520 free *** Garbage collection starting *** GC 77 2-Oct-2003 11:50:44, 40 ms (1%), 1021260 occupied, 23978690 free *** Garbage collection starting *** GC 78 2-Oct-2003 11:50:46, 40 ms (1%), 1021514 occupied, 23978436 free *** Garbage collection starting *** GC 79 2-Oct-2003 11:50:48, 30 ms (1%), 1022842 occupied, 23977108 free *** Garbage collection starting *** GC 80 2-Oct-2003 11:50:50, 40 ms (1%), 1023336 occupied, 23976614 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_153 and e_269. e_269: 0=2*p10*q35 + 3*p9*q36 is replaced by e_74: 0=(21*q16 + q35)*p10 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 : *** Garbage collection starting *** GC 81 2-Oct-2003 11:50:53, 30 ms (1%), 1021042 occupied, 23978908 free *** Garbage collection starting *** GC 82 2-Oct-2003 11:50:54, 30 ms (1%), 1021964 occupied, 23977986 free *** Garbage collection starting *** GC 83 2-Oct-2003 11:50:56, 30 ms (1%), 1022758 occupied, 23977192 free *** Garbage collection starting *** GC 84 2-Oct-2003 11:50:58, 30 ms (1%), 1023388 occupied, 23976562 free *** Garbage collection starting *** GC 85 2-Oct-2003 11:51:00, 40 ms (1%), 1023990 occupied, 23975960 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_153 and e_266. e_266: 0=7*p10*q17 + 6*p9*q36 is replaced by e_286: 0=(12*q16 + q17)*p10 Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 86 2-Oct-2003 11:51:02, 40 ms (1%), 1021688 occupied, 23978262 free *** Garbage collection starting *** GC 87 2-Oct-2003 11:51:04, 30 ms (1%), 1022532 occupied, 23977418 free *** Garbage collection starting *** GC 88 2-Oct-2003 11:51:06, 40 ms (1%), 1023278 occupied, 23976672 free *** Garbage collection starting *** GC 89 2-Oct-2003 11:51:07, 30 ms (1%), 1023822 occupied, 23976128 free *** Garbage collection starting *** GC 90 2-Oct-2003 11:51:09, 40 ms (1%), 1024180 occupied, 23975770 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_286 and e_37. e_37: 0=p10*q17 - p6*q34 is replaced by e_248: 0=12*p10*q16 + p6*q34 Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 91 2-Oct-2003 11:51:11, 30 ms (1%), 1022502 occupied, 23977448 free *** Garbage collection starting *** GC 92 2-Oct-2003 11:51:13, 40 ms (1%), 1023262 occupied, 23976688 free *** Garbage collection starting *** GC 93 2-Oct-2003 11:51:15, 30 ms (1%), 1023792 occupied, 23976158 free *** Garbage collection starting *** GC 94 2-Oct-2003 11:51:17, 30 ms (1%), 1024234 occupied, 23975716 free *** Garbage collection starting *** GC 95 2-Oct-2003 11:51:19, 40 ms (1%), 1024526 occupied, 23975424 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_96 and e_109. e_109: 5 terms, 10 factors, with derivatives of functions of all variables: (q30,q13,q3,q1,p8,p5,p2) is replaced by e_292: 5 terms, 10 factors, with derivatives of functions of all variables: (q13,q3,q1,p8,p5,p2) Step 97: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 96 2-Oct-2003 11:51:21, 40 ms (1%), 1022416 occupied, 23977534 free *** Garbage collection starting *** GC 97 2-Oct-2003 11:51:23, 30 ms (1%), 1023956 occupied, 23975994 free *** Garbage collection starting *** GC 98 2-Oct-2003 11:51:25, 40 ms (1%), 1024636 occupied, 23975314 free *** Garbage collection starting *** GC 99 2-Oct-2003 11:51:27, 40 ms (1%), 1025080 occupied, 23974870 free *** Garbage collection starting *** GC 100 2-Oct-2003 11:51:29, 30 ms (1%), 1025554 occupied, 23974396 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_48 and e_275. e_275: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q33,q18,p10,p9) is replaced by e_296: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q33,q17,p10,p9) 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 101 2-Oct-2003 11:51:31, 40 ms (1%), 1022654 occupied, 23977296 free *** Garbage collection starting *** GC 102 2-Oct-2003 11:51:33, 30 ms (1%), 1023774 occupied, 23976176 free *** Garbage collection starting *** GC 103 2-Oct-2003 11:51:34, 30 ms (1%), 1024564 occupied, 23975386 free *** Garbage collection starting *** GC 104 2-Oct-2003 11:51:36, 30 ms (1%), 1024992 occupied, 23974958 free *** Garbage collection starting *** GC 105 2-Oct-2003 11:51:38, 30 ms (1%), 1025454 occupied, 23974496 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_286 and e_296. e_296: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q33,q17,p10,p9) is replaced by e_128: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q33,q16,p10,p9) Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 106 2-Oct-2003 11:51:40, 30 ms (1%), 1022114 occupied, 23977836 free *** Garbage collection starting *** GC 107 2-Oct-2003 11:51:42, 30 ms (1%), 1023236 occupied, 23976714 free *** Garbage collection starting *** GC 108 2-Oct-2003 11:51:44, 30 ms (1%), 1023906 occupied, 23976044 free *** Garbage collection starting *** GC 109 2-Oct-2003 11:51:46, 30 ms (1%), 1024248 occupied, 23975702 free *** Garbage collection starting *** GC 110 2-Oct-2003 11:51:48, 40 ms (1%), 1024482 occupied, 23975468 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_179 and e_271. e_271: 0=14*p10*q33 + 57*p9*q36 is replaced by e_9: 0=44*p10*q33 - 57*p9*q20 Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 111 2-Oct-2003 11:51:50, 40 ms (1%), 1022796 occupied, 23977154 free *** Garbage collection starting *** GC 112 2-Oct-2003 11:51:52, 30 ms (1%), 1023500 occupied, 23976450 free *** Garbage collection starting *** GC 113 2-Oct-2003 11:51:54, 30 ms (1%), 1024118 occupied, 23975832 free *** Garbage collection starting *** GC 114 2-Oct-2003 11:51:55, 40 ms (1%), 1025050 occupied, 23974900 free *** Garbage collection starting *** GC 115 2-Oct-2003 11:51:57, 30 ms (1%), 1025626 occupied, 23974324 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_179 and e_213. e_213: 0=7*p6*q34 + 5*p9*q36 is replaced by e_125: 0=22*p6*q34 - 5*p9*q20 Step 103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 116 2-Oct-2003 11:51:59, 30 ms (1%), 1023074 occupied, 23976876 free *** Garbage collection starting *** GC 117 2-Oct-2003 11:52:01, 40 ms (1%), 1024220 occupied, 23975730 free *** Garbage collection starting *** GC 118 2-Oct-2003 11:52:03, 30 ms (1%), 1024746 occupied, 23975204 free *** Garbage collection starting *** GC 119 2-Oct-2003 11:52:05, 30 ms (1%), 1025622 occupied, 23974328 free *** Garbage collection starting *** GC 120 2-Oct-2003 11:52:07, 30 ms (1%), 1026138 occupied, 23973812 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_67 and e_283. e_283: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q22,q2,q1,p9,p8,p7,p4) is replaced by e_103: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q2,q1,p9,p8,p7) 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 2 terms 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 2 terms 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 : *** Garbage collection starting *** GC 121 2-Oct-2003 11:52:11, 30 ms (1%), 1022506 occupied, 23977444 free *** Garbage collection starting *** GC 122 2-Oct-2003 11:52:13, 30 ms (1%), 1023614 occupied, 23976336 free 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 : *** Garbage collection starting *** GC 123 2-Oct-2003 11:52:15, 40 ms (1%), 1023104 occupied, 23976846 free *** Garbage collection starting *** GC 124 2-Oct-2003 11:52:17, 30 ms (1%), 1024252 occupied, 23975698 free *** Garbage collection starting *** GC 125 2-Oct-2003 11:52:19, 30 ms (1%), 1025034 occupied, 23974916 free *** Garbage collection starting *** GC 126 2-Oct-2003 11:52:20, 40 ms (1%), 1025642 occupied, 23974308 free *** Garbage collection starting *** GC 127 2-Oct-2003 11:52:22, 40 ms (1%), 1026656 occupied, 23973294 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q2 from e_281 and e_298. e_298: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q14,q2,q1,p9,p8,p3,p2) is replaced by e_208: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q14,q1,p9,p8,p3,p2) Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 128 2-Oct-2003 11:52:25, 40 ms (1%), 1022782 occupied, 23977168 free *** Garbage collection starting *** GC 129 2-Oct-2003 11:52:27, 30 ms (1%), 1023716 occupied, 23976234 free *** Garbage collection starting *** GC 130 2-Oct-2003 11:52:29, 40 ms (1%), 1024652 occupied, 23975298 free *** Garbage collection starting *** GC 131 2-Oct-2003 11:52:30, 30 ms (1%), 1025422 occupied, 23974528 free *** Garbage collection starting *** GC 132 2-Oct-2003 11:52:32, 30 ms (1%), 1026012 occupied, 23973938 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 133 2-Oct-2003 11:52:38, 40 ms (1%), 1041375 occupied, 23958571 free Eliminate q35 from e_31 and e_32. e_32: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q33,q20,q19,p6,p5) is replaced by e_143: 4 terms, 8 factors, with derivatives of functions of all variables: (q33,q20,q19,q17,p6,p5) 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 : *** Garbage collection starting *** GC 134 2-Oct-2003 11:52:40, 30 ms (1%), 1024116 occupied, 23975833 free *** Garbage collection starting *** GC 135 2-Oct-2003 11:52:42, 40 ms (1%), 1025062 occupied, 23974887 free *** Garbage collection starting *** GC 136 2-Oct-2003 11:52:44, 30 ms (1%), 1025906 occupied, 23974043 free *** Garbage collection starting *** GC 137 2-Oct-2003 11:52:46, 40 ms (1%), 1026654 occupied, 23973295 free *** Garbage collection starting *** GC 138 2-Oct-2003 11:52:48, 30 ms (1%), 1027300 occupied, 23972649 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_143 and e_31. e_31: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q33,q20,q17,p6,p5) is replaced by e_220: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q20,q19,q17,p6,p5) 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 : *** Garbage collection starting *** GC 139 2-Oct-2003 11:52:50, 40 ms (1%), 1024064 occupied, 23975888 free *** Garbage collection starting *** GC 140 2-Oct-2003 11:52:52, 40 ms (1%), 1025216 occupied, 23974736 free *** Garbage collection starting *** GC 141 2-Oct-2003 11:52:54, 40 ms (1%), 1026012 occupied, 23973940 free *** Garbage collection starting *** GC 142 2-Oct-2003 11:52:56, 30 ms (1%), 1026658 occupied, 23973294 free *** Garbage collection starting *** GC 143 2-Oct-2003 11:52:58, 30 ms (1%), 1027014 occupied, 23972938 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 144 2-Oct-2003 11:53:04, 40 ms (1%), 1064426 occupied, 23935519 free Eliminate q30 from e_155 and e_228. e_228: 7 terms, 14 factors, with derivatives of functions of all variables: (q30,q29,q13,q8,q6,p8,p7,p6,p2) is replaced by e_225: 7 terms, 14 factors, with derivatives of functions of all variables: (q29,q13,q8,q6,p8,p7,p6,p2) 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 : *** Garbage collection starting *** GC 145 2-Oct-2003 11:53:06, 30 ms (1%), 1025430 occupied, 23974522 free *** Garbage collection starting *** GC 146 2-Oct-2003 11:53:08, 30 ms (1%), 1026354 occupied, 23973598 free *** Garbage collection starting *** GC 147 2-Oct-2003 11:53:10, 40 ms (1%), 1027564 occupied, 23972388 free *** Garbage collection starting *** GC 148 2-Oct-2003 11:53:12, 30 ms (1%), 1028124 occupied, 23971828 free *** Garbage collection starting *** GC 149 2-Oct-2003 11:53:14, 30 ms (1%), 1028776 occupied, 23971176 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_125 and e_248. e_125: 0=22*p6*q34 - 5*p9*q20 is replaced by e_226: 0=264*p10*q16 + 5*p9*q20 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 : *** Garbage collection starting *** GC 150 2-Oct-2003 11:53:16, 30 ms (1%), 1024928 occupied, 23975024 free *** Garbage collection starting *** GC 151 2-Oct-2003 11:53:18, 30 ms (1%), 1025784 occupied, 23974168 free *** Garbage collection starting *** GC 152 2-Oct-2003 11:53:20, 40 ms (1%), 1026560 occupied, 23973392 free *** Garbage collection starting *** GC 153 2-Oct-2003 11:53:22, 30 ms (1%), 1027428 occupied, 23972524 free *** Garbage collection starting *** GC 154 2-Oct-2003 11:53:24, 30 ms (1%), 1027830 occupied, 23972122 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_226 and e_9. e_9: 0=44*p10*q33 - 57*p9*q20 is replaced by e_160: 0=(342*q16 + 5*q33)*p10 Step 115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 155 2-Oct-2003 11:53:26, 30 ms (1%), 1025552 occupied, 23974400 free *** Garbage collection starting *** GC 156 2-Oct-2003 11:53:28, 30 ms (1%), 1026428 occupied, 23973524 free *** Garbage collection starting *** GC 157 2-Oct-2003 11:53:30, 30 ms (1%), 1027180 occupied, 23972772 free *** Garbage collection starting *** GC 158 2-Oct-2003 11:53:32, 40 ms (1%), 1027838 occupied, 23972114 free *** Garbage collection starting *** GC 159 2-Oct-2003 11:53:34, 40 ms (1%), 1028178 occupied, 23971774 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 160 2-Oct-2003 11:53:40, 40 ms (1%), 1089208 occupied, 23910738 free Eliminate q24 from e_30 and e_28. e_28: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q24,q20,q9,p10,p6,p2) is replaced by e_232: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q20,q9,q6,p10,p6,p2) Step 116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 161 2-Oct-2003 11:53:44, 30 ms (1%), 1025288 occupied, 23974664 free *** Garbage collection starting *** GC 162 2-Oct-2003 11:53:46, 30 ms (1%), 1026156 occupied, 23973795 free *** Garbage collection starting *** GC 163 2-Oct-2003 11:53:48, 30 ms (1%), 1027180 occupied, 23972772 free *** Garbage collection starting *** GC 164 2-Oct-2003 11:53:50, 40 ms (1%), 1027644 occupied, 23972308 free *** Garbage collection starting *** GC 165 2-Oct-2003 11:53:52, 30 ms (1%), 1027976 occupied, 23971976 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_30 and e_29. e_29: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q24,q20,q8,p10,p6,p2) is replaced by e_162: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q20,q8,q6,p10,p6,p2) Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 166 2-Oct-2003 11:53:55, 40 ms (1%), 1025336 occupied, 23974616 free *** Garbage collection starting *** GC 167 2-Oct-2003 11:53:56, 40 ms (1%), 1026598 occupied, 23973354 free *** Garbage collection starting *** GC 168 2-Oct-2003 11:53:58, 40 ms (1%), 1027418 occupied, 23972534 free *** Garbage collection starting *** GC 169 2-Oct-2003 11:54:00, 40 ms (1%), 1027928 occupied, 23972024 free *** Garbage collection starting *** GC 170 2-Oct-2003 11:54:02, 40 ms (1%), 1028420 occupied, 23971532 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_176. e_176: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q17,q8,p9,p8,p7,p6) is replaced by e_113: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q8,q6,p9,p8,p7) 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 171 2-Oct-2003 11:54:05, 40 ms (1%), 1025774 occupied, 23974178 free *** Garbage collection starting *** GC 172 2-Oct-2003 11:54:07, 30 ms (1%), 1027222 occupied, 23972730 free *** Garbage collection starting *** GC 173 2-Oct-2003 11:54:09, 30 ms (1%), 1027840 occupied, 23972112 free *** Garbage collection starting *** GC 174 2-Oct-2003 11:54:11, 40 ms (1%), 1028826 occupied, 23971126 free *** Garbage collection starting *** GC 175 2-Oct-2003 11:54:13, 40 ms (1%), 1029148 occupied, 23970804 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_162 and e_232. e_232: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q20,q9,q6,p10,p6,p2) is replaced by e_83: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q9,q8,q6,p10,p2) 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 : *** Garbage collection starting *** GC 176 2-Oct-2003 11:54:17, 30 ms (1%), 1025918 occupied, 23974034 free *** Garbage collection starting *** GC 177 2-Oct-2003 11:54:19, 30 ms (1%), 1027352 occupied, 23972600 free *** Garbage collection starting *** GC 178 2-Oct-2003 11:54:21, 40 ms (1%), 1028694 occupied, 23971258 free *** Garbage collection starting *** GC 179 2-Oct-2003 11:54:23, 30 ms (1%), 1029212 occupied, 23970740 free *** Garbage collection starting *** GC 180 2-Oct-2003 11:54:25, 40 ms (1%), 1029588 occupied, 23970364 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_83 and e_162. e_162: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q20,q8,q6,p10,p6,p2) is replaced by e_251: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q9,q8,q6,p10,p6) 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 : *** Garbage collection starting *** GC 181 2-Oct-2003 11:54:27, 40 ms (1%), 1027038 occupied, 23972914 free *** Garbage collection starting *** GC 182 2-Oct-2003 11:54:29, 30 ms (1%), 1028238 occupied, 23971714 free *** Garbage collection starting *** GC 183 2-Oct-2003 11:54:31, 40 ms (1%), 1028948 occupied, 23971004 free *** Garbage collection starting *** GC 184 2-Oct-2003 11:54:33, 40 ms (1%), 1029506 occupied, 23970446 free *** Garbage collection starting *** GC 185 2-Oct-2003 11:54:35, 30 ms (1%), 1029724 occupied, 23970228 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_251 and e_39. e_39: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q26,q8,q6,p10,p8,p6) is replaced by e_169: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q9,q8,q6,p10,p8) 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 : *** Garbage collection starting *** GC 186 2-Oct-2003 11:54:38, 40 ms (1%), 1026426 occupied, 23973526 free *** Garbage collection starting *** GC 187 2-Oct-2003 11:54:40, 40 ms (1%), 1028034 occupied, 23971918 free *** Garbage collection starting *** GC 188 2-Oct-2003 11:54:42, 30 ms (1%), 1029080 occupied, 23970872 free *** Garbage collection starting *** GC 189 2-Oct-2003 11:54:44, 30 ms (1%), 1030116 occupied, 23969836 free *** Garbage collection starting *** GC 190 2-Oct-2003 11:54:46, 40 ms (1%), 1030750 occupied, 23969202 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_34 and e_33. e_33: 5 terms, 10 factors, with derivatives of functions of all variables: (q36,q35,q33,q20,q18,p6,p5) is replaced by e_86: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q33,q20,q18,q16,p6,p5) 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 : *** Garbage collection starting *** GC 191 2-Oct-2003 11:54:50, 30 ms (1%), 1027034 occupied, 23972918 free *** Garbage collection starting *** GC 192 2-Oct-2003 11:54:52, 40 ms (1%), 1028456 occupied, 23971496 free *** Garbage collection starting *** GC 193 2-Oct-2003 11:54:54, 40 ms (1%), 1029400 occupied, 23970552 free *** Garbage collection starting *** GC 194 2-Oct-2003 11:54:56, 30 ms (1%), 1030084 occupied, 23969868 free *** Garbage collection starting *** GC 195 2-Oct-2003 11:54:58, 40 ms (1%), 1030726 occupied, 23969226 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 196 2-Oct-2003 11:55:05, 30 ms (1%), 1064975 occupied, 23934974 free Eliminate q34 from e_67 and e_72. e_72: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q27,q22,q10,q4,p9,p7,p4) is replaced by e_267: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q22,q10,q4,q2,p9,p7) 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 2 terms Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 197 2-Oct-2003 11:55:08, 30 ms (1%), 1027796 occupied, 23972155 free *** Garbage collection starting *** GC 198 2-Oct-2003 11:55:10, 30 ms (1%), 1028996 occupied, 23970956 free *** Garbage collection starting *** GC 199 2-Oct-2003 11:55:12, 40 ms (1%), 1029456 occupied, 23970495 free *** Garbage collection starting *** GC 200 2-Oct-2003 11:55:14, 40 ms (1%), 1030146 occupied, 23969806 free *** Garbage collection starting *** GC 201 2-Oct-2003 11:55:16, 40 ms (1%), 1031316 occupied, 23968636 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_30 and e_27. e_27: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q24,q20,q7,q5,p10,p6,p2) is replaced by e_277: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q20,q7,q6,q5,p10,p6,p2) Step 125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 202 2-Oct-2003 11:55:19, 40 ms (1%), 1027330 occupied, 23972622 free *** Garbage collection starting *** GC 203 2-Oct-2003 11:55:21, 30 ms (1%), 1028624 occupied, 23971328 free *** Garbage collection starting *** GC 204 2-Oct-2003 11:55:23, 30 ms (1%), 1029836 occupied, 23970116 free *** Garbage collection starting *** GC 205 2-Oct-2003 11:55:25, 40 ms (1%), 1030556 occupied, 23969396 free *** Garbage collection starting *** GC 206 2-Oct-2003 11:55:27, 40 ms (1%), 1031114 occupied, 23968838 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_182. e_182: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q19,q8,p9,p8,p7,p6,p2) is replaced by e_269: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q8,q6,p9,p8,p7,p2) 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 207 2-Oct-2003 11:55:31, 30 ms (1%), 1028560 occupied, 23971392 free *** Garbage collection starting *** GC 208 2-Oct-2003 11:55:33, 30 ms (1%), 1029638 occupied, 23970314 free *** Garbage collection starting *** GC 209 2-Oct-2003 11:55:35, 30 ms (1%), 1030600 occupied, 23969352 free *** Garbage collection starting *** GC 210 2-Oct-2003 11:55:37, 40 ms (1%), 1031422 occupied, 23968530 free shortening by 1 term Step 127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 211 2-Oct-2003 11:55:39, 40 ms (1%), 1027632 occupied, 23972320 free shortening by 1 term Step 129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 212 2-Oct-2003 11:55:42, 40 ms (1%), 1028796 occupied, 23971156 free *** Garbage collection starting *** GC 213 2-Oct-2003 11:55:44, 30 ms (1%), 1029390 occupied, 23970561 free *** Garbage collection starting *** GC 214 2-Oct-2003 11:55:46, 30 ms (1%), 1029462 occupied, 23970489 free *** Garbage collection starting *** GC 215 2-Oct-2003 11:55:48, 40 ms (1%), 1030218 occupied, 23969733 free *** Garbage collection starting *** GC 216 2-Oct-2003 11:55:50, 40 ms (1%), 1031040 occupied, 23968911 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 217 2-Oct-2003 11:55:57, 40 ms (1%), 1090492 occupied, 23909449 free Eliminate q30 from e_158 and e_159. e_159: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q29,q9,q6,p8,p7,p6,p2) is replaced by e_64: 6 terms, 12 factors, with derivatives of functions of all variables: (q9,q8,q6,p8,p7,p2) Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 218 2-Oct-2003 11:55:59, 30 ms (1%), 1030070 occupied, 23969882 free *** Garbage collection starting *** GC 219 2-Oct-2003 11:56:01, 30 ms (1%), 1031074 occupied, 23968878 free *** Garbage collection starting *** GC 220 2-Oct-2003 11:56:03, 40 ms (1%), 1032046 occupied, 23967906 free *** Garbage collection starting *** GC 221 2-Oct-2003 11:56:06, 40 ms (1%), 1032552 occupied, 23967400 free *** Garbage collection starting *** GC 222 2-Oct-2003 11:56:08, 40 ms (1%), 1032990 occupied, 23966962 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_237 and e_236. e_237: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q29,q7,q6,p8,p7,p6,p2) is replaced by e_295: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q7,q6,q5,p8,p7,p6,p2) 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 223 2-Oct-2003 11:56:12, 30 ms (1%), 1029404 occupied, 23970548 free *** Garbage collection starting *** GC 224 2-Oct-2003 11:56:14, 30 ms (1%), 1030908 occupied, 23969044 free *** Garbage collection starting *** GC 225 2-Oct-2003 11:56:16, 40 ms (1%), 1031710 occupied, 23968242 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 : *** Garbage collection starting *** GC 226 2-Oct-2003 11:56:18, 40 ms (1%), 1028336 occupied, 23971616 free *** Garbage collection starting *** GC 227 2-Oct-2003 11:56:20, 40 ms (1%), 1028984 occupied, 23970968 free *** Garbage collection starting *** GC 228 2-Oct-2003 11:56:23, 30 ms (1%), 1031016 occupied, 23968936 free *** Garbage collection starting *** GC 229 2-Oct-2003 11:56:25, 40 ms (1%), 1032664 occupied, 23967288 free *** Garbage collection starting *** GC 230 2-Oct-2003 11:56:27, 40 ms (1%), 1033282 occupied, 23966670 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_295 and e_236. e_236: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q29,q6,q5,p8,p7,p6,p2) is replaced by e_296: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q7,q6,q5,p8,p6,p2) 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 : *** Garbage collection starting *** GC 231 2-Oct-2003 11:56:30, 40 ms (1%), 1030156 occupied, 23969796 free *** Garbage collection starting *** GC 232 2-Oct-2003 11:56:32, 40 ms (1%), 1031794 occupied, 23968158 free *** Garbage collection starting *** GC 233 2-Oct-2003 11:56:35, 40 ms (1%), 1032822 occupied, 23967130 free *** Garbage collection starting *** GC 234 2-Oct-2003 11:56:37, 40 ms (1%), 1033330 occupied, 23966622 free *** Garbage collection starting *** GC 235 2-Oct-2003 11:56:39, 30 ms (1%), 1034172 occupied, 23965780 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_22 and e_23. e_23: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q25,q23,q20,q8,p6,p3,p1) is replaced by e_301: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q23,q20,q8,q6,p6,p3,p1) 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 236 2-Oct-2003 11:56:42, 40 ms (1%), 1031638 occupied, 23968314 free *** Garbage collection starting *** GC 237 2-Oct-2003 11:56:44, 30 ms (1%), 1033014 occupied, 23966938 free *** Garbage collection starting *** GC 238 2-Oct-2003 11:56:46, 30 ms (1%), 1034610 occupied, 23965342 free *** Garbage collection starting *** GC 239 2-Oct-2003 11:56:48, 40 ms (1%), 1035424 occupied, 23964528 free *** Garbage collection starting *** GC 240 2-Oct-2003 11:56:51, 30 ms (1%), 1036492 occupied, 23963460 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_301 and e_22. e_22: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q25,q23,q20,q6,p6,p3,p1) is replaced by e_302: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q23,q20,q8,q6,p6,p3,p1) 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 : *** Garbage collection starting *** GC 241 2-Oct-2003 11:56:53, 40 ms (1%), 1032378 occupied, 23967572 free *** Garbage collection starting *** GC 242 2-Oct-2003 11:56:55, 30 ms (1%), 1034020 occupied, 23965930 free *** Garbage collection starting *** GC 243 2-Oct-2003 11:56:58, 40 ms (1%), 1034984 occupied, 23964966 free *** Garbage collection starting *** GC 244 2-Oct-2003 11:57:00, 30 ms (1%), 1036662 occupied, 23963288 free *** Garbage collection starting *** GC 245 2-Oct-2003 11:57:02, 40 ms (1%), 1038356 occupied, 23961594 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 246 2-Oct-2003 11:57:09, 40 ms (1%), 1074628 occupied, 23925316 free Eliminate q31 from e_149 and e_150. e_150: 12 terms, 24 factors, with derivatives of functions of all variables: (q31,q28,q27,q25,q20,q9,q8,q7,p6,p4,p3,p1) is replaced by e_303: 12 terms, 24 factors, with derivatives of functions of all variables: (q28,q27,q25,q20,q9,q8,q7,p6,p4,p3,p1) 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 : *** Garbage collection starting *** GC 247 2-Oct-2003 11:57:13, 40 ms (1%), 1032042 occupied, 23967910 free *** Garbage collection starting *** GC 248 2-Oct-2003 11:57:15, 30 ms (1%), 1036104 occupied, 23963848 free *** Garbage collection starting *** GC 249 2-Oct-2003 11:57:17, 40 ms (1%), 1038322 occupied, 23961630 free *** Garbage collection starting *** GC 250 2-Oct-2003 11:57:20, 40 ms (1%), 1040982 occupied, 23958970 free shortening by 1 term Step 137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 251 2-Oct-2003 11:57:22, 30 ms (1%), 1029288 occupied, 23970664 free shortening by 1 term Step 138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 252 2-Oct-2003 11:57:24, 30 ms (1%), 1029414 occupied, 23970538 free shortening by 2 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 1 term Step 140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 253 2-Oct-2003 11:57:26, 40 ms (1%), 1029242 occupied, 23970710 free *** Garbage collection starting *** GC 254 2-Oct-2003 11:57:28, 40 ms (1%), 1029650 occupied, 23970302 free *** Garbage collection starting *** GC 255 2-Oct-2003 11:57:30, 30 ms (1%), 1033458 occupied, 23966494 free *** Garbage collection starting *** GC 256 2-Oct-2003 11:57:32, 30 ms (1%), 1034216 occupied, 23965736 free *** Garbage collection starting *** GC 257 2-Oct-2003 11:57:34, 30 ms (1%), 1035052 occupied, 23964900 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 258 2-Oct-2003 11:57:41, 30 ms (1%), 1043511 occupied, 23956441 free Eliminate q21 from e_304 and e_99. e_99: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q19,q17,q9,q8,p9,p8,p6,p2) is replaced by e_194: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q17,q9,q8,q6,p9,p8,p2) 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 259 2-Oct-2003 11:57:43, 30 ms (1%), 1029888 occupied, 23970064 free *** Garbage collection starting *** GC 260 2-Oct-2003 11:57:45, 40 ms (1%), 1031564 occupied, 23968388 free *** Garbage collection starting *** GC 261 2-Oct-2003 11:57:47, 40 ms (1%), 1032430 occupied, 23967522 free *** Garbage collection starting *** GC 262 2-Oct-2003 11:57:49, 30 ms (1%), 1033044 occupied, 23966908 free *** Garbage collection starting *** GC 263 2-Oct-2003 11:57:51, 30 ms (1%), 1033898 occupied, 23966054 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_278 and e_93. e_93: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q21,q12,q2,p9,p8,p7,p5,p1) is replaced by e_6: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q12,q11,q2,p9,p8,p7,p5) 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 : *** Garbage collection starting *** GC 264 2-Oct-2003 11:57:57, 40 ms (1%), 1030582 occupied, 23969370 free *** Garbage collection starting *** GC 265 2-Oct-2003 11:57:59, 40 ms (1%), 1031600 occupied, 23968352 free *** Garbage collection starting *** GC 266 2-Oct-2003 11:58:01, 40 ms (1%), 1033488 occupied, 23966464 free *** Garbage collection starting *** GC 267 2-Oct-2003 11:58:03, 40 ms (1%), 1034718 occupied, 23965233 free *** Garbage collection starting *** GC 268 2-Oct-2003 11:58:05, 30 ms (1%), 1035290 occupied, 23964661 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_273 and e_6. e_6: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q12,q11,q2,p9,p8,p7,p5) is replaced by e_104: 6 terms, 12 factors, with derivatives of functions of all variables: (q12,q11,q3,q2,p9,p8,p7) 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 : *** Garbage collection starting *** GC 269 2-Oct-2003 11:58:07, 30 ms (1%), 1031486 occupied, 23968466 free *** Garbage collection starting *** GC 270 2-Oct-2003 11:58:09, 40 ms (1%), 1033030 occupied, 23966922 free *** Garbage collection starting *** GC 271 2-Oct-2003 11:58:12, 30 ms (1%), 1034144 occupied, 23965808 free *** Garbage collection starting *** GC 272 2-Oct-2003 11:58:14, 30 ms (1%), 1034934 occupied, 23965018 free *** Garbage collection starting *** GC 273 2-Oct-2003 11:58:16, 40 ms (1%), 1036064 occupied, 23963888 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_278 and e_101. e_101: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q21,q12,q4,p9,p7,p5,p2,p1) is replaced by e_283: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q12,q11,q4,p9,p7,p5,p2) 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 : *** Garbage collection starting *** GC 274 2-Oct-2003 11:58:18, 40 ms (1%), 1031590 occupied, 23968362 free *** Garbage collection starting *** GC 275 2-Oct-2003 11:58:20, 30 ms (1%), 1032664 occupied, 23967288 free *** Garbage collection starting *** GC 276 2-Oct-2003 11:58:22, 30 ms (1%), 1033714 occupied, 23966238 free *** Garbage collection starting *** GC 277 2-Oct-2003 11:58:24, 30 ms (1%), 1034540 occupied, 23965412 free *** Garbage collection starting *** GC 278 2-Oct-2003 11:58:27, 30 ms (1%), 1035412 occupied, 23964540 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_273 and e_283. e_283: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q12,q11,q4,p9,p7,p5,p2) is replaced by e_139: 6 terms, 12 factors, with derivatives of functions of all variables: (q12,q11,q4,q3,p9,p7,p2) 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 : *** Garbage collection starting *** GC 279 2-Oct-2003 11:58:29, 30 ms (1%), 1032042 occupied, 23967909 free *** Garbage collection starting *** GC 280 2-Oct-2003 11:58:31, 30 ms (1%), 1033932 occupied, 23966019 free *** Garbage collection starting *** GC 281 2-Oct-2003 11:58:33, 40 ms (1%), 1034474 occupied, 23965477 free *** Garbage collection starting *** GC 282 2-Oct-2003 11:58:35, 30 ms (1%), 1034952 occupied, 23964999 free *** Garbage collection starting *** GC 283 2-Oct-2003 11:58:37, 40 ms (1%), 1035238 occupied, 23964713 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_96 and e_165. e_165: 5 terms, 10 factors, with derivatives of functions of all variables: (q30,q21,q14,q13,q3,p9,p8,p5,p3) is replaced by e_36: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q14,q13,q3,p9,p8,p5,p3,p2) Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 284 2-Oct-2003 11:58:42, 30 ms (1%), 1031122 occupied, 23968830 free *** Garbage collection starting *** GC 285 2-Oct-2003 11:58:45, 30 ms (1%), 1032330 occupied, 23967622 free *** Garbage collection starting *** GC 286 2-Oct-2003 11:58:47, 30 ms (1%), 1034040 occupied, 23965912 free *** Garbage collection starting *** GC 287 2-Oct-2003 11:58:49, 40 ms (1%), 1035098 occupied, 23964854 free *** Garbage collection starting *** GC 288 2-Oct-2003 11:58:51, 40 ms (1%), 1036054 occupied, 23963898 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_208 and e_36. e_36: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q14,q13,q3,p9,p8,p5,p3,p2) is replaced by e_102: 5 terms, 10 factors, with derivatives of functions of all variables: (q13,q3,q1,p8,p5,p2) Step 147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 289 2-Oct-2003 11:58:53, 40 ms (1%), 1031784 occupied, 23968168 free *** Garbage collection starting *** GC 290 2-Oct-2003 11:58:56, 40 ms (1%), 1033236 occupied, 23966716 free *** Garbage collection starting *** GC 291 2-Oct-2003 11:58:58, 30 ms (1%), 1033764 occupied, 23966188 free *** Garbage collection starting *** GC 292 2-Oct-2003 11:59:00, 40 ms (1%), 1034444 occupied, 23965508 free *** Garbage collection starting *** GC 293 2-Oct-2003 11:59:02, 30 ms (1%), 1034832 occupied, 23965120 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_54 and e_102. e_102: 5 terms, 10 factors, with derivatives of functions of all variables: (q13,q3,q1,p8,p5,p2) is replaced by e_35: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q3,p8,p5,p2) Step 149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 294 2-Oct-2003 11:59:04, 40 ms (1%), 1032342 occupied, 23967610 free *** Garbage collection starting *** GC 295 2-Oct-2003 11:59:07, 30 ms (1%), 1033764 occupied, 23966188 free *** Garbage collection starting *** GC 296 2-Oct-2003 11:59:09, 40 ms (1%), 1034378 occupied, 23965574 free *** Garbage collection starting *** GC 297 2-Oct-2003 11:59:11, 40 ms (1%), 1034782 occupied, 23965170 free *** Garbage collection starting *** GC 298 2-Oct-2003 11:59:13, 40 ms (1%), 1035414 occupied, 23964538 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_54 and e_208. e_208: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q14,q1,p9,p8,p3,p2) is replaced by e_211: 0=p3*q21 - p9*q14 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 299 2-Oct-2003 11:59:16, 30 ms (1%), 1032708 occupied, 23967244 free *** Garbage collection starting *** GC 300 2-Oct-2003 11:59:18, 40 ms (1%), 1034082 occupied, 23965870 free *** Garbage collection starting *** GC 301 2-Oct-2003 11:59:20, 40 ms (1%), 1034884 occupied, 23965068 free *** Garbage collection starting *** GC 302 2-Oct-2003 11:59:22, 30 ms (1%), 1035476 occupied, 23964476 free *** Garbage collection starting *** GC 303 2-Oct-2003 11:59:25, 40 ms (1%), 1036288 occupied, 23963664 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_35 and e_146. e_146: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q13,q3,p8,p5) is replaced by e_214: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q3,p8,p5,p2) Step 152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 304 2-Oct-2003 11:59:27, 30 ms (1%), 1032366 occupied, 23967586 free *** Garbage collection starting *** GC 305 2-Oct-2003 11:59:30, 40 ms (1%), 1034488 occupied, 23965464 free *** Garbage collection starting *** GC 306 2-Oct-2003 11:59:32, 30 ms (1%), 1035846 occupied, 23964104 free *** Garbage collection starting *** GC 307 2-Oct-2003 11:59:34, 30 ms (1%), 1036364 occupied, 23963586 free *** Garbage collection starting *** GC 308 2-Oct-2003 11:59:36, 30 ms (1%), 1036778 occupied, 23963172 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 309 2-Oct-2003 11:59:43, 40 ms (1%), 1093327 occupied, 23906619 free Eliminate q33 from e_143 and e_34. e_34: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q33,q20,q16,p6,p5) is replaced by e_217: 4 terms, 8 factors, with derivatives of functions of all variables: (q36,q19,q17,q16,p6,p5) Step 153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 310 2-Oct-2003 11:59:46, 40 ms (1%), 1032970 occupied, 23966981 free *** Garbage collection starting *** GC 311 2-Oct-2003 11:59:48, 40 ms (1%), 1034484 occupied, 23965466 free *** Garbage collection starting *** GC 312 2-Oct-2003 11:59:50, 40 ms (1%), 1035520 occupied, 23964430 free *** Garbage collection starting *** GC 313 2-Oct-2003 11:59:52, 30 ms (1%), 1035930 occupied, 23964020 free *** Garbage collection starting *** GC 314 2-Oct-2003 11:59:55, 30 ms (1%), 1036264 occupied, 23963686 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 315 2-Oct-2003 12:00:01, 30 ms (1%), 1048065 occupied, 23951885 free Eliminate q36 from e_26 and e_24. e_24: 7 terms, 14 factors, with derivatives of functions of all variables: (q36,q28,q25,q23,q20,q9,p6,p3,p1) is replaced by e_49: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q25,q23,q20,q9,q5,p6,p3,p1) Step 154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 316 2-Oct-2003 12:00:04, 40 ms (1%), 1035228 occupied, 23964721 free *** Garbage collection starting *** GC 317 2-Oct-2003 12:00:06, 40 ms (1%), 1036448 occupied, 23963500 free *** Garbage collection starting *** GC 318 2-Oct-2003 12:00:09, 40 ms (1%), 1037284 occupied, 23962665 free *** Garbage collection starting *** GC 319 2-Oct-2003 12:00:11, 30 ms (1%), 1037934 occupied, 23962015 free *** Garbage collection starting *** GC 320 2-Oct-2003 12:00:13, 40 ms (1%), 1038424 occupied, 23961525 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_76 and e_78. e_78: 12 terms, 24 factors, with derivatives of functions of all variables: (q32,q31,q27,q14,q12,q11,q9,q7,q5,p6,p4,p3,p1) is replaced by e_19: 12 terms, 24 factors, with derivatives of functions of all variables: (q31,q27,q14,q12,q11,q9,q7,q5,p4,p3,p1) 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 : *** Garbage collection starting *** GC 321 2-Oct-2003 12:00:18, 40 ms (1%), 1035004 occupied, 23964948 free *** Garbage collection starting *** GC 322 2-Oct-2003 12:00:20, 40 ms (1%), 1036382 occupied, 23963570 free *** Garbage collection starting *** GC 323 2-Oct-2003 12:00:22, 30 ms (1%), 1037540 occupied, 23962412 free *** Garbage collection starting *** GC 324 2-Oct-2003 12:00:25, 40 ms (1%), 1038330 occupied, 23961622 free *** Garbage collection starting *** GC 325 2-Oct-2003 12:00:27, 40 ms (1%), 1038802 occupied, 23961150 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 326 2-Oct-2003 12:00:34, 40 ms (1%), 1081252 occupied, 23918697 free Eliminate q29 from e_273 and e_106. e_106: 8 terms, 16 factors, with derivatives of functions of all variables: (q30,q29,q21,q12,q1,p9,p8,p7,p5,p3) is replaced by e_224: 8 terms, 16 factors, with derivatives of functions of all variables: (q30,q21,q12,q3,q1,p9,p8,p7,p5,p3) 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 327 2-Oct-2003 12:00:37, 30 ms (1%), 1035032 occupied, 23964920 free *** Garbage collection starting *** GC 328 2-Oct-2003 12:00:40, 30 ms (1%), 1036028 occupied, 23963924 free *** Garbage collection starting *** GC 329 2-Oct-2003 12:00:42, 40 ms (1%), 1037208 occupied, 23962743 free *** Garbage collection starting *** GC 330 2-Oct-2003 12:00:44, 40 ms (1%), 1038136 occupied, 23961815 free *** Garbage collection starting *** GC 331 2-Oct-2003 12:00:47, 40 ms (1%), 1038824 occupied, 23961127 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 332 2-Oct-2003 12:00:54, 40 ms (1%), 1044857 occupied, 23955091 free Eliminate q34 from e_284 and e_105. e_105: 4 terms, 8 factors, with derivatives of functions of all variables: (q34,q17,q16,p9,p8,p7,p3) is replaced by e_228: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q16,q1,p10,p9,p8,p7) Step 157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 333 2-Oct-2003 12:00:56, 40 ms (1%), 1034538 occupied, 23965414 free *** Garbage collection starting *** GC 334 2-Oct-2003 12:00:59, 40 ms (1%), 1035712 occupied, 23964240 free *** Garbage collection starting *** GC 335 2-Oct-2003 12:01:01, 30 ms (1%), 1037060 occupied, 23962892 free *** Garbage collection starting *** GC 336 2-Oct-2003 12:01:03, 40 ms (1%), 1038184 occupied, 23961768 free *** Garbage collection starting *** GC 337 2-Oct-2003 12:01:06, 40 ms (1%), 1038762 occupied, 23961190 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_133 and e_190. e_190: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q18,q17,p9,p8,p7,p1) is replaced by e_9: 6 terms, 12 factors, with derivatives of functions of all variables: (q18,q17,q2,p10,p9,p8,p7) Step 158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 338 2-Oct-2003 12:01:12, 30 ms (1%), 1034904 occupied, 23965048 free *** Garbage collection starting *** GC 339 2-Oct-2003 12:01:14, 30 ms (1%), 1036332 occupied, 23963620 free *** Garbage collection starting *** GC 340 2-Oct-2003 12:01:17, 40 ms (1%), 1037326 occupied, 23962626 free *** Garbage collection starting *** GC 341 2-Oct-2003 12:01:19, 40 ms (1%), 1038322 occupied, 23961630 free *** Garbage collection starting *** GC 342 2-Oct-2003 12:01:21, 40 ms (1%), 1038930 occupied, 23961022 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 343 2-Oct-2003 12:01:28, 40 ms (1%), 1062219 occupied, 23937732 free Eliminate q21 from e_278 and e_107. e_107: 7 terms, 14 factors, with derivatives of functions of all variables: (q29,q21,q10,q4,q2,q1,p9,p7,p5,p2,p1) is replaced by e_163: 7 terms, 14 factors, with derivatives of functions of all variables: (q29,q11,q10,q4,q2,q1,p9,p7,p5,p2) Step 159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 344 2-Oct-2003 12:01:31, 40 ms (1%), 1036024 occupied, 23963927 free *** Garbage collection starting *** GC 345 2-Oct-2003 12:01:34, 40 ms (1%), 1037480 occupied, 23962470 free *** Garbage collection starting *** GC 346 2-Oct-2003 12:01:36, 30 ms (1%), 1038774 occupied, 23961177 free *** Garbage collection starting *** GC 347 2-Oct-2003 12:01:39, 40 ms (1%), 1040070 occupied, 23959881 free *** Garbage collection starting *** GC 348 2-Oct-2003 12:01:41, 30 ms (1%), 1040286 occupied, 23959665 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_273 and e_163. e_163: 7 terms, 14 factors, with derivatives of functions of all variables: (q29,q11,q10,q4,q2,q1,p9,p7,p5,p2) is replaced by e_288: 7 terms, 14 factors, with derivatives of functions of all variables: (q11,q10,q4,q3,q2,q1,p9,p7,p2) Step 160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 349 2-Oct-2003 12:01:44, 40 ms (1%), 1036392 occupied, 23963560 free *** Garbage collection starting *** GC 350 2-Oct-2003 12:01:47, 40 ms (1%), 1037728 occupied, 23962224 free *** Garbage collection starting *** GC 351 2-Oct-2003 12:01:49, 40 ms (1%), 1038702 occupied, 23961250 free *** Garbage collection starting *** GC 352 2-Oct-2003 12:01:52, 30 ms (1%), 1040146 occupied, 23959806 free *** Garbage collection starting *** GC 353 2-Oct-2003 12:01:54, 40 ms (1%), 1040860 occupied, 23959092 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_181. e_181: 7 terms, 14 factors, with derivatives of functions of all variables: (q26,q21,q19,q18,q9,p9,p8,p7,p6,p5,p2) is replaced by e_28: 7 terms, 14 factors, with derivatives of functions of all variables: (q26,q19,q18,q9,q6,p9,p8,p7,p5,p2) 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 : *** Garbage collection starting *** GC 354 2-Oct-2003 12:01:58, 30 ms (1%), 1036580 occupied, 23963372 free *** Garbage collection starting *** GC 355 2-Oct-2003 12:02:00, 30 ms (1%), 1037750 occupied, 23962201 free *** Garbage collection starting *** GC 356 2-Oct-2003 12:02:03, 40 ms (1%), 1038764 occupied, 23961187 free *** Garbage collection starting *** GC 357 2-Oct-2003 12:02:05, 40 ms (1%), 1040162 occupied, 23959789 free *** Garbage collection starting *** GC 358 2-Oct-2003 12:02:08, 30 ms (1%), 1040900 occupied, 23959051 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_189. e_189: 7 terms, 14 factors, with derivatives of functions of all variables: (q34,q26,q21,q18,q16,q9,p9,p7,p6,p5,p2) is replaced by e_233: 7 terms, 14 factors, with derivatives of functions of all variables: (q34,q26,q18,q16,q9,q6,p9,p7,p5,p2) 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 359 2-Oct-2003 12:02:11, 40 ms (1%), 1036312 occupied, 23963639 free *** Garbage collection starting *** GC 360 2-Oct-2003 12:02:14, 40 ms (1%), 1037668 occupied, 23962283 free *** Garbage collection starting *** GC 361 2-Oct-2003 12:02:17, 40 ms (1%), 1039022 occupied, 23960929 free *** Garbage collection starting *** GC 362 2-Oct-2003 12:02:19, 40 ms (1%), 1039722 occupied, 23960229 free *** Garbage collection starting *** GC 363 2-Oct-2003 12:02:22, 40 ms (1%), 1040540 occupied, 23959411 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_186. e_186: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q21,q18,q8,p9,p8,p7,p6,p5,p2) is replaced by e_234: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q18,q8,q6,p9,p8,p7,p5,p2) Step 163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 364 2-Oct-2003 12:02:27, 40 ms (1%), 1036860 occupied, 23963092 free *** Garbage collection starting *** GC 365 2-Oct-2003 12:02:29, 30 ms (1%), 1037906 occupied, 23962046 free *** Garbage collection starting *** GC 366 2-Oct-2003 12:02:32, 40 ms (1%), 1039202 occupied, 23960750 free *** Garbage collection starting *** GC 367 2-Oct-2003 12:02:35, 30 ms (1%), 1040268 occupied, 23959684 free *** Garbage collection starting *** GC 368 2-Oct-2003 12:02:37, 40 ms (1%), 1041228 occupied, 23958724 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_193. e_193: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q24,q21,q16,q8,p9,p7,p6,p5,p2) is replaced by e_235: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q24,q16,q8,q6,p9,p7,p5,p2) 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 369 2-Oct-2003 12:02:41, 40 ms (1%), 1037010 occupied, 23962942 free *** Garbage collection starting *** GC 370 2-Oct-2003 12:02:43, 30 ms (1%), 1038892 occupied, 23961059 free *** Garbage collection starting *** GC 371 2-Oct-2003 12:02:46, 40 ms (1%), 1040318 occupied, 23959633 free *** Garbage collection starting *** GC 372 2-Oct-2003 12:02:49, 40 ms (1%), 1040948 occupied, 23959003 free *** Garbage collection starting *** GC 373 2-Oct-2003 12:02:51, 40 ms (1%), 1041432 occupied, 23958519 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_133 and e_140. e_140: 7 terms, 14 factors, with derivatives of functions of all variables: (q35,q34,q23,q19,q18,q4,q2,p10,p9,p7,p1) is replaced by e_63: 7 terms, 14 factors, with derivatives of functions of all variables: (q35,q23,q19,q18,q17,q4,q2,p10,p9,p7) Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 374 2-Oct-2003 12:02:55, 40 ms (1%), 1036362 occupied, 23963590 free shortening by 1 term Step 168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 375 2-Oct-2003 12:02:58, 40 ms (1%), 1036468 occupied, 23963483 free *** Garbage collection starting *** GC 376 2-Oct-2003 12:03:00, 40 ms (1%), 1036822 occupied, 23963129 free *** Garbage collection starting *** GC 377 2-Oct-2003 12:03:03, 40 ms (1%), 1038394 occupied, 23961557 free *** Garbage collection starting *** GC 378 2-Oct-2003 12:03:06, 30 ms (1%), 1038782 occupied, 23961169 free *** Garbage collection starting *** GC 379 2-Oct-2003 12:03:08, 30 ms (1%), 1039228 occupied, 23960723 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 380 2-Oct-2003 12:03:16, 40 ms (1%), 1067767 occupied, 23932181 free *** Garbage collection starting *** GC 381 2-Oct-2003 12:03:23, 40 ms (1%), 1064382 occupied, 23935568 free *** Garbage collection starting *** GC 382 2-Oct-2003 12:03:30, 40 ms (1%), 1079197 occupied, 23920751 free Eliminate q25 from e_301 and e_25. e_25: 6 terms, 12 factors, with derivatives of functions of all variables: (q36,q25,q23,q20,q7,p6,p3,p1) is replaced by e_162: 6 terms, 12 factors, with derivatives of functions of all variables: (q36,q23,q20,q8,q7,q6,p6,p3,p1) 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 : *** Garbage collection starting *** GC 383 2-Oct-2003 12:03:34, 40 ms (1%), 1039030 occupied, 23960922 free *** Garbage collection starting *** GC 384 2-Oct-2003 12:03:37, 30 ms (1%), 1040650 occupied, 23959302 free *** Garbage collection starting *** GC 385 2-Oct-2003 12:03:39, 40 ms (1%), 1041608 occupied, 23958344 free *** Garbage collection starting *** GC 386 2-Oct-2003 12:03:42, 40 ms (1%), 1041986 occupied, 23957966 free *** Garbage collection starting *** GC 387 2-Oct-2003 12:03:45, 40 ms (1%), 1042152 occupied, 23957800 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_284 and e_148. e_148: 8 terms, 16 factors, with derivatives of functions of all variables: (q35,q34,q25,q18,q4,q2,q1,p10,p9,p8,p7,p3) is replaced by e_252: 8 terms, 16 factors, with derivatives of functions of all variables: (q35,q25,q18,q17,q4,q2,q1,p10,p9,p8,p7) Step 171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 388 2-Oct-2003 12:03:51, 40 ms (1%), 1038568 occupied, 23961383 free *** Garbage collection starting *** GC 389 2-Oct-2003 12:03:54, 30 ms (1%), 1039570 occupied, 23960380 free *** Garbage collection starting *** GC 390 2-Oct-2003 12:03:57, 40 ms (1%), 1040844 occupied, 23959106 free *** Garbage collection starting *** GC 391 2-Oct-2003 12:04:00, 40 ms (1%), 1041736 occupied, 23958214 free *** Garbage collection starting *** GC 392 2-Oct-2003 12:04:02, 40 ms (1%), 1042344 occupied, 23957606 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 393 2-Oct-2003 12:04:10, 30 ms (1%), 1043930 occupied, 23956021 free *** Garbage collection starting *** GC 394 2-Oct-2003 12:04:17, 40 ms (1%), 1081214 occupied, 23918732 free Eliminate q21 from e_304 and e_197. e_197: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q21,q17,q16,q5,q1,p10,p9,p7,p6,p5,p2) is replaced by e_253: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q17,q16,q6,q5,q1,p10,p9,p7,p5,p2) 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 : *** Garbage collection starting *** GC 395 2-Oct-2003 12:04:23, 40 ms (1%), 1038782 occupied, 23961170 free *** Garbage collection starting *** GC 396 2-Oct-2003 12:04:26, 40 ms (1%), 1039560 occupied, 23960391 free *** Garbage collection starting *** GC 397 2-Oct-2003 12:04:29, 40 ms (1%), 1040756 occupied, 23959196 free *** Garbage collection starting *** GC 398 2-Oct-2003 12:04:32, 40 ms (1%), 1042008 occupied, 23957944 free *** Garbage collection starting *** GC 399 2-Oct-2003 12:04:35, 40 ms (1%), 1042416 occupied, 23957536 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_129 and e_253. e_253: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q17,q16,q6,q5,q1,p10,p9,p7,p5,p2) is replaced by e_100: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q17,q16,q6,q5,q3,q1,p10,p9,p7,p5,p2) Step 173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 400 2-Oct-2003 12:04:39, 40 ms (1%), 1039396 occupied, 23960556 free *** Garbage collection starting *** GC 401 2-Oct-2003 12:04:41, 40 ms (1%), 1040206 occupied, 23959746 free *** Garbage collection starting *** GC 402 2-Oct-2003 12:04:44, 40 ms (1%), 1041294 occupied, 23958658 free *** Garbage collection starting *** GC 403 2-Oct-2003 12:04:47, 40 ms (1%), 1042182 occupied, 23957770 free *** Garbage collection starting *** GC 404 2-Oct-2003 12:04:50, 30 ms (1%), 1042894 occupied, 23957058 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 405 2-Oct-2003 12:04:58, 40 ms (1%), 1068420 occupied, 23931526 free Eliminate q21 from e_304 and e_256. e_256: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q21,q18,q17,q8,q7,q2,p10,p9,p8,p6,p5,p2) is replaced by e_40: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q18,q17,q8,q7,q6,q2,p10,p9,p8,p5,p2) Step 174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 406 2-Oct-2003 12:05:05, 40 ms (1%), 1039570 occupied, 23960381 free *** Garbage collection starting *** GC 407 2-Oct-2003 12:05:08, 40 ms (1%), 1040460 occupied, 23959492 free *** Garbage collection starting *** GC 408 2-Oct-2003 12:05:11, 40 ms (1%), 1041804 occupied, 23958147 free *** Garbage collection starting *** GC 409 2-Oct-2003 12:05:14, 30 ms (1%), 1043062 occupied, 23956890 free *** Garbage collection starting *** GC 410 2-Oct-2003 12:05:16, 40 ms (1%), 1044592 occupied, 23955360 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_129 and e_40. e_40: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q24,q18,q17,q8,q7,q6,q2,p10,p9,p8,p5,p2) is replaced by e_39: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q18,q17,q8,q7,q6,q3,q2,p10,p9,p8,p5,p2) 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 : *** Garbage collection starting *** GC 411 2-Oct-2003 12:05:21, 30 ms (1%), 1040534 occupied, 23959418 free *** Garbage collection starting *** GC 412 2-Oct-2003 12:05:24, 40 ms (1%), 1041388 occupied, 23958564 free *** Garbage collection starting *** GC 413 2-Oct-2003 12:05:26, 40 ms (1%), 1042788 occupied, 23957164 free *** Garbage collection starting *** GC 414 2-Oct-2003 12:05:29, 40 ms (1%), 1043552 occupied, 23956400 free *** Garbage collection starting *** GC 415 2-Oct-2003 12:05:32, 40 ms (1%), 1044686 occupied, 23955266 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_304 and e_184. e_184: 9 terms, 18 factors, with derivatives of functions of all variables: (q34,q26,q24,q21,q19,q16,q7,q4,p10,p9,p7,p6,p5,p2) is replaced by e_247: 9 terms, 18 factors, with derivatives of functions of all variables: (q34,q26,q24,q19,q16,q7,q6,q4,p10,p9,p7,p5,p2) 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 : *** Garbage collection starting *** GC 416 2-Oct-2003 12:05:39, 30 ms (1%), 1040276 occupied, 23959674 free *** Garbage collection starting *** GC 417 2-Oct-2003 12:05:42, 40 ms (1%), 1041124 occupied, 23958825 free *** Garbage collection starting *** GC 418 2-Oct-2003 12:05:45, 40 ms (1%), 1042448 occupied, 23957501 free *** Garbage collection starting *** GC 419 2-Oct-2003 12:05:48, 40 ms (1%), 1043782 occupied, 23956167 free *** Garbage collection starting *** GC 420 2-Oct-2003 12:05:51, 30 ms (1%), 1044476 occupied, 23955473 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_129 and e_247. e_247: 9 terms, 18 factors, with derivatives of functions of all variables: (q34,q26,q24,q19,q16,q7,q6,q4,p10,p9,p7,p5,p2) is replaced by e_258: 9 terms, 18 factors, with derivatives of functions of all variables: (q34,q26,q19,q16,q7,q6,q4,q3,p10,p9,p7,p5,p2) Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 421 2-Oct-2003 12:05:55, 40 ms (1%), 1040788 occupied, 23959164 free *** Garbage collection starting *** GC 422 2-Oct-2003 12:05:58, 40 ms (1%), 1041820 occupied, 23958132 free *** Garbage collection starting *** GC 423 2-Oct-2003 12:06:01, 40 ms (1%), 1043190 occupied, 23956762 free *** Garbage collection starting *** GC 424 2-Oct-2003 12:06:04, 40 ms (1%), 1044358 occupied, 23955594 free *** Garbage collection starting *** GC 425 2-Oct-2003 12:06:07, 40 ms (1%), 1044818 occupied, 23955134 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_129 and e_235. e_235: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q24,q16,q8,q6,p9,p7,p5,p2) is replaced by e_203: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q16,q8,q6,q3,p10,p9,p7,p5,p2) Step 178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 426 2-Oct-2003 12:06:12, 40 ms (1%), 1041128 occupied, 23958824 free *** Garbage collection starting *** GC 427 2-Oct-2003 12:06:15, 40 ms (1%), 1041966 occupied, 23957986 free *** Garbage collection starting *** GC 428 2-Oct-2003 12:06:18, 40 ms (1%), 1043500 occupied, 23956452 free *** Garbage collection starting *** GC 429 2-Oct-2003 12:06:21, 40 ms (1%), 1044476 occupied, 23955476 free *** Garbage collection starting *** GC 430 2-Oct-2003 12:06:24, 40 ms (1%), 1044950 occupied, 23955002 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 431 2-Oct-2003 12:06:32, 40 ms (1%), 1051067 occupied, 23948883 free *** Garbage collection starting *** GC 432 2-Oct-2003 12:06:40, 40 ms (1%), 1049105 occupied, 23950846 free *** Garbage collection starting *** GC 433 2-Oct-2003 12:06:48, 50 ms (1%), 1079079 occupied, 23920868 free *** Garbage collection starting *** GC 434 2-Oct-2003 12:06:57, 40 ms (1%), 1081216 occupied, 23918732 free *** Garbage collection starting *** GC 435 2-Oct-2003 12:07:05, 40 ms (1%), 1080942 occupied, 23919003 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_4 we get the alternative equations : 0=q17 0=p2 - p8 New level : 1. CRACK is now called with the new equation e_83 : 0=q17 e_109 is a consequence of e_83 Step 179: Hot list of urgent steps : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q17 found in e_83 : q17=0 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 : *** Garbage collection starting *** GC 436 2-Oct-2003 12:07:07, 30 ms (1%), 1040567 occupied, 23959385 free *** Garbage collection starting *** GC 437 2-Oct-2003 12:07:10, 40 ms (1%), 1041331 occupied, 23958621 free *** Garbage collection starting *** GC 438 2-Oct-2003 12:07:12, 30 ms (1%), 1041831 occupied, 23958121 free *** Garbage collection starting *** GC 439 2-Oct-2003 12:07:14, 30 ms (1%), 1041945 occupied, 23958006 free *** Garbage collection starting *** GC 440 2-Oct-2003 12:07:16, 40 ms (1%), 1042525 occupied, 23957427 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_78 and e_179. e_179: 0=(7*q20 + 22*q36)*p9 is replaced by e_105: 0=p9*q20 e_105 is a consequence of e_47. Step 184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 441 2-Oct-2003 12:07:19, 40 ms (1%), 1040753 occupied, 23959199 free *** Garbage collection starting *** GC 442 2-Oct-2003 12:07:21, 30 ms (1%), 1041981 occupied, 23957971 free *** Garbage collection starting *** GC 443 2-Oct-2003 12:07:23, 30 ms (1%), 1042779 occupied, 23957173 free *** Garbage collection starting *** GC 444 2-Oct-2003 12:07:25, 30 ms (1%), 1043363 occupied, 23956589 free *** Garbage collection starting *** GC 445 2-Oct-2003 12:07:28, 40 ms (1%), 1043531 occupied, 23956421 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_92 and e_5. e_5: 0=(4*q18 + 5*q19)*p10 is replaced by e_125: 0=p10*q19 Step 185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 446 2-Oct-2003 12:07:30, 40 ms (1%), 1040381 occupied, 23959571 free *** Garbage collection starting *** GC 447 2-Oct-2003 12:07:32, 30 ms (1%), 1041407 occupied, 23958545 free *** Garbage collection starting *** GC 448 2-Oct-2003 12:07:35, 40 ms (1%), 1042057 occupied, 23957895 free *** Garbage collection starting *** GC 449 2-Oct-2003 12:07:37, 40 ms (1%), 1042983 occupied, 23956969 free *** Garbage collection starting *** GC 450 2-Oct-2003 12:07:39, 40 ms (1%), 1043421 occupied, 23956531 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_297 and e_160. e_160: 0=(342*q16 + 5*q33)*p10 is replaced by e_157: 0=p10*q33 Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 451 2-Oct-2003 12:07:42, 30 ms (1%), 1040811 occupied, 23959140 free *** Garbage collection starting *** GC 452 2-Oct-2003 12:07:44, 40 ms (1%), 1041867 occupied, 23958084 free *** Garbage collection starting *** GC 453 2-Oct-2003 12:07:46, 40 ms (1%), 1042589 occupied, 23957362 free *** Garbage collection starting *** GC 454 2-Oct-2003 12:07:49, 40 ms (1%), 1042987 occupied, 23956964 free *** Garbage collection starting *** GC 455 2-Oct-2003 12:07:51, 40 ms (1%), 1043051 occupied, 23956900 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_297 and e_74. e_74: 0=(21*q16 + q35)*p10 is replaced by e_107: 0=p10*q35 Step 187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 456 2-Oct-2003 12:07:53, 30 ms (1%), 1041013 occupied, 23958936 free *** Garbage collection starting *** GC 457 2-Oct-2003 12:07:56, 30 ms (1%), 1042011 occupied, 23957938 free *** Garbage collection starting *** GC 458 2-Oct-2003 12:07:58, 40 ms (1%), 1042849 occupied, 23957100 free *** Garbage collection starting *** GC 459 2-Oct-2003 12:08:00, 30 ms (1%), 1043233 occupied, 23956716 free *** Garbage collection starting *** GC 460 2-Oct-2003 12:08:03, 30 ms (1%), 1043543 occupied, 23956406 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_305. e_305: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q9,q8,q6,p9,p2) is replaced by e_181: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q9,q6,p9,p2) 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 : *** Garbage collection starting *** GC 461 2-Oct-2003 12:08:07, 30 ms (1%), 1040561 occupied, 23959391 free *** Garbage collection starting *** GC 462 2-Oct-2003 12:08:09, 30 ms (1%), 1041865 occupied, 23958087 free *** Garbage collection starting *** GC 463 2-Oct-2003 12:08:12, 40 ms (1%), 1042849 occupied, 23957103 free *** Garbage collection starting *** GC 464 2-Oct-2003 12:08:14, 30 ms (1%), 1043869 occupied, 23956083 free *** Garbage collection starting *** GC 465 2-Oct-2003 12:08:16, 40 ms (1%), 1044327 occupied, 23955625 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_269. e_269: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q8,q6,p9,p8,p7,p2) is replaced by e_63: 0=q19*(p2 + p7 + 2*p8 + p9) 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 : *** Garbage collection starting *** GC 466 2-Oct-2003 12:08:20, 40 ms (1%), 1041583 occupied, 23958369 free *** Garbage collection starting *** GC 467 2-Oct-2003 12:08:23, 40 ms (1%), 1041897 occupied, 23958055 free *** Garbage collection starting *** GC 468 2-Oct-2003 12:08:25, 30 ms (1%), 1042269 occupied, 23957683 free 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 : *** Garbage collection starting *** GC 469 2-Oct-2003 12:08:27, 40 ms (1%), 1040601 occupied, 23959351 free *** Garbage collection starting *** GC 470 2-Oct-2003 12:08:30, 40 ms (1%), 1042187 occupied, 23957765 free 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 471 2-Oct-2003 12:08:32, 30 ms (1%), 1041211 occupied, 23958740 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 472 2-Oct-2003 12:08:35, 40 ms (1%), 1040377 occupied, 23959575 free *** Garbage collection starting *** GC 473 2-Oct-2003 12:08:37, 40 ms (1%), 1042671 occupied, 23957281 free *** Garbage collection starting *** GC 474 2-Oct-2003 12:08:39, 30 ms (1%), 1043811 occupied, 23956141 free *** Garbage collection starting *** GC 475 2-Oct-2003 12:08:42, 30 ms (1%), 1044873 occupied, 23955079 free *** Garbage collection starting *** GC 476 2-Oct-2003 12:08:44, 40 ms (1%), 1045687 occupied, 23954265 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 477 2-Oct-2003 12:08:52, 40 ms (1%), 1059560 occupied, 23940391 free Eliminate q34 from e_236 and e_192. e_192: 4 terms, 8 factors, with derivatives of functions of all variables: (q34,q19,q16,q4,p10,p7,p1) is replaced by e_238: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,q4,q2,p10,p7) 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 478 2-Oct-2003 12:08:59, 40 ms (1%), 1040847 occupied, 23959105 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 : *** Garbage collection starting *** GC 479 2-Oct-2003 12:09:02, 40 ms (1%), 1043125 occupied, 23956827 free *** Garbage collection starting *** GC 480 2-Oct-2003 12:09:04, 30 ms (1%), 1044043 occupied, 23955909 free *** Garbage collection starting *** GC 481 2-Oct-2003 12:09:06, 40 ms (1%), 1044593 occupied, 23955359 free *** Garbage collection starting *** GC 482 2-Oct-2003 12:09:09, 40 ms (1%), 1045319 occupied, 23954633 free *** Garbage collection starting *** GC 483 2-Oct-2003 12:09:11, 40 ms (1%), 1045745 occupied, 23954207 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_154 and e_86. e_86: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q33,q20,q18,q16,p6,p5) is replaced by e_197: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q20,q19,q18,q16,p6,p5) Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 484 2-Oct-2003 12:09:17, 40 ms (1%), 1041941 occupied, 23958011 free *** Garbage collection starting *** GC 485 2-Oct-2003 12:09:19, 30 ms (1%), 1042673 occupied, 23957279 free *** Garbage collection starting *** GC 486 2-Oct-2003 12:09:21, 40 ms (1%), 1042933 occupied, 23957019 free *** Garbage collection starting *** GC 487 2-Oct-2003 12:09:24, 30 ms (1%), 1043023 occupied, 23956929 free *** Garbage collection starting *** GC 488 2-Oct-2003 12:09:26, 30 ms (1%), 1043243 occupied, 23956709 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_235 and e_22. e_22: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q19,q16,p6,p5) is replaced by e_142: 3 terms, 6 factors, with derivatives of functions of all variables: (q36,q18,q16,p6,p5) Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 489 2-Oct-2003 12:09:29, 30 ms (1%), 1042793 occupied, 23957159 free *** Garbage collection starting *** GC 490 2-Oct-2003 12:09:32, 40 ms (1%), 1043977 occupied, 23955975 free *** Garbage collection starting *** GC 491 2-Oct-2003 12:09:35, 30 ms (1%), 1044871 occupied, 23955081 free *** Garbage collection starting *** GC 492 2-Oct-2003 12:09:37, 30 ms (1%), 1045445 occupied, 23954506 free *** Garbage collection starting *** GC 493 2-Oct-2003 12:09:40, 40 ms (1%), 1045615 occupied, 23954335 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_234. e_234: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q18,q8,q6,p9,p8,p7,p5,p2) is replaced by e_72: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q26,q18,p9,p8,p7,p5,p2) 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 494 2-Oct-2003 12:09:43, 30 ms (1%), 1043219 occupied, 23956732 free *** Garbage collection starting *** GC 495 2-Oct-2003 12:09:46, 40 ms (1%), 1044115 occupied, 23955836 free *** Garbage collection starting *** GC 496 2-Oct-2003 12:09:48, 40 ms (1%), 1044577 occupied, 23955374 free *** Garbage collection starting *** GC 497 2-Oct-2003 12:09:51, 40 ms (1%), 1045707 occupied, 23954244 free *** Garbage collection starting *** GC 498 2-Oct-2003 12:09:54, 40 ms (1%), 1046637 occupied, 23953314 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_314. e_314: 7 terms, 14 factors, with derivatives of functions of all variables: (q34,q18,q8,q7,q6,q3,q2,p10,p9,p5,p2) is replaced by e_268: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q18,q7,q6,q3,q2,p10,p9,p5,p2) Step 201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 499 2-Oct-2003 12:09:59, 40 ms (1%), 1043147 occupied, 23956804 free *** Garbage collection starting *** GC 500 2-Oct-2003 12:10:02, 40 ms (1%), 1044099 occupied, 23955852 free shortening by 1 term 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 : *** Garbage collection starting *** GC 501 2-Oct-2003 12:10:05, 40 ms (1%), 1042947 occupied, 23957002 free *** Garbage collection starting *** GC 502 2-Oct-2003 12:10:07, 40 ms (1%), 1044197 occupied, 23955752 free *** Garbage collection starting *** GC 503 2-Oct-2003 12:10:10, 40 ms (1%), 1045047 occupied, 23954902 free *** Garbage collection starting *** GC 504 2-Oct-2003 12:10:12, 40 ms (1%), 1045353 occupied, 23954596 free *** Garbage collection starting *** GC 505 2-Oct-2003 12:10:15, 40 ms (1%), 1046305 occupied, 23953644 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_203. e_203: 8 terms, 16 factors, with derivatives of functions of all variables: (q34,q26,q16,q8,q6,q3,p10,p9,p7,p5,p2) is replaced by e_127: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q26,q16,q3,p10,p9,p7,p5,p2) 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 506 2-Oct-2003 12:10:19, 40 ms (1%), 1044041 occupied, 23955909 free *** Garbage collection starting *** GC 507 2-Oct-2003 12:10:21, 30 ms (1%), 1045439 occupied, 23954511 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 508 2-Oct-2003 12:10:24, 30 ms (1%), 1042757 occupied, 23957193 free *** Garbage collection starting *** GC 509 2-Oct-2003 12:10:27, 40 ms (1%), 1045941 occupied, 23954008 free *** Garbage collection starting *** GC 510 2-Oct-2003 12:10:29, 30 ms (1%), 1047983 occupied, 23951966 free *** Garbage collection starting *** GC 511 2-Oct-2003 12:10:32, 40 ms (1%), 1048557 occupied, 23951392 free *** Garbage collection starting *** GC 512 2-Oct-2003 12:10:34, 40 ms (1%), 1049441 occupied, 23950508 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 513 2-Oct-2003 12:10:42, 40 ms (1%), 1065055 occupied, 23934895 free Eliminate q8 from e_306 and e_312. e_312: 6 terms, 12 factors, with derivatives of functions of all variables: (q33,q26,q8,q3,p10,p9,p8,p7,p5) is replaced by e_200: 6 terms, 12 factors, with derivatives of functions of all variables: (q33,q26,q6,q3,p10,p9,p8,p7,p5) Step 205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 514 2-Oct-2003 12:10:49, 30 ms (1%), 1044041 occupied, 23955909 free *** Garbage collection starting *** GC 515 2-Oct-2003 12:10:51, 30 ms (1%), 1044775 occupied, 23955174 free *** Garbage collection starting *** GC 516 2-Oct-2003 12:10:54, 40 ms (1%), 1046151 occupied, 23953799 free *** Garbage collection starting *** GC 517 2-Oct-2003 12:10:57, 30 ms (1%), 1047205 occupied, 23952745 free *** Garbage collection starting *** GC 518 2-Oct-2003 12:11:00, 40 ms (1%), 1048445 occupied, 23951505 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_114 and e_215. e_215: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q19,q18,q2,p10,p9,p8,p7,p3) is replaced by e_267: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q18,q2,q1,p10,p9,p8,p7) 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 : *** Garbage collection starting *** GC 519 2-Oct-2003 12:11:05, 40 ms (1%), 1044595 occupied, 23955356 free *** Garbage collection starting *** GC 520 2-Oct-2003 12:11:07, 40 ms (1%), 1045953 occupied, 23953998 free *** Garbage collection starting *** GC 521 2-Oct-2003 12:11:10, 40 ms (1%), 1048187 occupied, 23951764 free *** Garbage collection starting *** GC 522 2-Oct-2003 12:11:13, 40 ms (1%), 1048843 occupied, 23951108 free *** Garbage collection starting *** GC 523 2-Oct-2003 12:11:16, 30 ms (1%), 1049487 occupied, 23950464 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_58 and e_29. e_29: 6 terms, 12 factors, with derivatives of functions of all variables: (q35,q33,q23,q18,q4,q2,p10,p9,p7) is replaced by e_274: 6 terms, 12 factors, with derivatives of functions of all variables: (q35,q23,q18,q16,q4,q2,p10,p9,p7) 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 : *** Garbage collection starting *** GC 524 2-Oct-2003 12:11:21, 40 ms (1%), 1045379 occupied, 23954572 free *** Garbage collection starting *** GC 525 2-Oct-2003 12:11:24, 40 ms (1%), 1046677 occupied, 23953274 free *** Garbage collection starting *** GC 526 2-Oct-2003 12:11:27, 40 ms (1%), 1048541 occupied, 23951410 free *** Garbage collection starting *** GC 527 2-Oct-2003 12:11:29, 40 ms (1%), 1049189 occupied, 23950762 free *** Garbage collection starting *** GC 528 2-Oct-2003 12:11:32, 40 ms (1%), 1049357 occupied, 23950594 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q35 from e_239 and e_274. e_274: 6 terms, 12 factors, with derivatives of functions of all variables: (q35,q23,q18,q16,q4,q2,p10,p9,p7) is replaced by e_210: 6 terms, 12 factors, with derivatives of functions of all variables: (q23,q18,q16,q5,q4,q2,p10,p9,p7) 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 : *** Garbage collection starting *** GC 529 2-Oct-2003 12:11:36, 40 ms (1%), 1045861 occupied, 23954090 free *** Garbage collection starting *** GC 530 2-Oct-2003 12:11:38, 40 ms (1%), 1047579 occupied, 23952372 free *** Garbage collection starting *** GC 531 2-Oct-2003 12:11:41, 30 ms (1%), 1047953 occupied, 23951998 free *** Garbage collection starting *** GC 532 2-Oct-2003 12:11:44, 40 ms (1%), 1048087 occupied, 23951864 free *** Garbage collection starting *** GC 533 2-Oct-2003 12:11:47, 40 ms (1%), 1048185 occupied, 23951766 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_306 and e_240. e_240: 7 terms, 14 factors, with derivatives of functions of all variables: (q33,q25,q19,q8,q7,q4,q1,p10,p9,p7) is replaced by e_250: 7 terms, 14 factors, with derivatives of functions of all variables: (q33,q25,q19,q7,q6,q4,q1,p10,p9,p7) Step 209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 534 2-Oct-2003 12:11:53, 30 ms (1%), 1045561 occupied, 23954390 free *** Garbage collection starting *** GC 535 2-Oct-2003 12:11:56, 40 ms (1%), 1046929 occupied, 23953022 free *** Garbage collection starting *** GC 536 2-Oct-2003 12:11:59, 40 ms (1%), 1048069 occupied, 23951882 free *** Garbage collection starting *** GC 537 2-Oct-2003 12:12:02, 40 ms (1%), 1048177 occupied, 23951774 free *** Garbage collection starting *** GC 538 2-Oct-2003 12:12:05, 40 ms (1%), 1048389 occupied, 23951562 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 539 2-Oct-2003 12:12:13, 40 ms (1%), 1075696 occupied, 23924253 free *** Garbage collection starting *** GC 540 2-Oct-2003 12:12:21, 40 ms (1%), 1050153 occupied, 23949797 free *** Garbage collection starting *** GC 541 2-Oct-2003 12:12:29, 40 ms (1%), 1063158 occupied, 23936792 free *** Garbage collection starting *** GC 542 2-Oct-2003 12:12:38, 40 ms (1%), 1071329 occupied, 23928617 free *** Garbage collection starting *** GC 543 2-Oct-2003 12:12:46, 30 ms (1%), 1077108 occupied, 23922837 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_125 we get the alternative equations : 0=p10 0=q19 New level : 1.1. CRACK is now called with the new equation e_322 : 0=p10 e_11,e_297,e_92,e_157,e_107 are consequences of e_322 Step 210: Hot list of urgent steps : The list of inequalities got extended by: g0060*p9 + g0061*p8 + g0062*p7 Substitution of p10 found in e_322 : p10=0 Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_312 is a consequence of e_101. 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 : *** Garbage collection starting *** GC 544 2-Oct-2003 12:12:50, 30 ms (1%), 1047152 occupied, 23952799 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 545 2-Oct-2003 12:12:52, 30 ms (1%), 1048354 occupied, 23951596 free *** Garbage collection starting *** GC 546 2-Oct-2003 12:12:54, 40 ms (1%), 1049998 occupied, 23949951 free *** Garbage collection starting *** GC 547 2-Oct-2003 12:12:57, 30 ms (1%), 1050718 occupied, 23949232 free *** Garbage collection starting *** GC 548 2-Oct-2003 12:12:59, 40 ms (1%), 1051556 occupied, 23948394 free *** Garbage collection starting *** GC 549 2-Oct-2003 12:13:02, 30 ms (1%), 1052068 occupied, 23947882 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q36 from e_202 and e_215. e_215: 0=6*p7*q36 - p8*q20 is replaced by e_266: 0=q20*(6*p7 - p8) 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 550 2-Oct-2003 12:13:07, 40 ms (1%), 1048434 occupied, 23951517 free *** Garbage collection starting *** GC 551 2-Oct-2003 12:13:09, 30 ms (1%), 1049954 occupied, 23949997 free *** Garbage collection starting *** GC 552 2-Oct-2003 12:13:12, 30 ms (1%), 1050602 occupied, 23949349 free *** Garbage collection starting *** GC 553 2-Oct-2003 12:13:14, 30 ms (1%), 1051356 occupied, 23948595 free *** Garbage collection starting *** GC 554 2-Oct-2003 12:13:17, 30 ms (1%), 1052176 occupied, 23947775 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 555 2-Oct-2003 12:13:25, 40 ms (1%), 1089721 occupied, 23910227 free *** Garbage collection starting *** GC 556 2-Oct-2003 12:13:34, 30 ms (1%), 1072830 occupied, 23927118 free *** Garbage collection starting *** GC 557 2-Oct-2003 12:13:42, 30 ms (1%), 1052027 occupied, 23947923 free Eliminate q33 from e_93 and e_205. e_205: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q33,q23,q5,p9,p7) is replaced by e_21: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q23,q16,q5,p9,p7) Step 219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 558 2-Oct-2003 12:13:46, 40 ms (1%), 1050272 occupied, 23949678 free *** Garbage collection starting *** GC 559 2-Oct-2003 12:13:49, 40 ms (1%), 1051614 occupied, 23948336 free *** Garbage collection starting *** GC 560 2-Oct-2003 12:13:51, 40 ms (1%), 1052284 occupied, 23947666 free *** Garbage collection starting *** GC 561 2-Oct-2003 12:13:54, 40 ms (1%), 1052524 occupied, 23947426 free *** Garbage collection starting *** GC 562 2-Oct-2003 12:13:56, 30 ms (1%), 1053026 occupied, 23946924 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_321 and e_4. e_321: 3 terms, 6 factors, with derivatives of functions of all variables: (q23,q18,q5,p9,p7) is replaced by e_92: 0=p7*q16 - p7*q18 + p9*q5 Step 223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 563 2-Oct-2003 12:14:00, 40 ms (1%), 1051948 occupied, 23948003 free *** Garbage collection starting *** GC 564 2-Oct-2003 12:14:02, 40 ms (1%), 1053104 occupied, 23946847 free *** Garbage collection starting *** GC 565 2-Oct-2003 12:14:05, 40 ms (1%), 1053544 occupied, 23946407 free *** Garbage collection starting *** GC 566 2-Oct-2003 12:14:07, 40 ms (1%), 1053782 occupied, 23946169 free *** Garbage collection starting *** GC 567 2-Oct-2003 12:14:10, 30 ms (1%), 1053970 occupied, 23945981 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_4 and e_93. e_93: 3 terms, 6 factors, with derivatives of functions of all variables: (q33,q23,q16,p9,p7) is replaced by e_324: 3 terms, 6 factors, with derivatives of functions of all variables: (q33,q16,q5,p9,p7) Step 224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 568 2-Oct-2003 12:14:13, 30 ms (1%), 1050730 occupied, 23949221 free *** Garbage collection starting *** GC 569 2-Oct-2003 12:14:15, 40 ms (1%), 1051956 occupied, 23947995 free *** Garbage collection starting *** GC 570 2-Oct-2003 12:14:18, 40 ms (1%), 1052294 occupied, 23947657 free *** Garbage collection starting *** GC 571 2-Oct-2003 12:14:21, 40 ms (1%), 1052410 occupied, 23947541 free *** Garbage collection starting *** GC 572 2-Oct-2003 12:14:23, 40 ms (1%), 1052512 occupied, 23947439 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 573 2-Oct-2003 12:14:32, 40 ms (1%), 1059324 occupied, 23940627 free Eliminate q35 from e_293 and e_13. e_13: 4 terms, 8 factors, with derivatives of functions of all variables: (q35,q28,q25,q19,p9,p8,p7) is replaced by e_328: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q25,q23,q19,p9,p8) 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 : *** Garbage collection starting *** GC 574 2-Oct-2003 12:14:36, 30 ms (1%), 1052136 occupied, 23947815 free *** Garbage collection starting *** GC 575 2-Oct-2003 12:14:39, 40 ms (1%), 1052888 occupied, 23947063 free *** Garbage collection starting *** GC 576 2-Oct-2003 12:14:41, 40 ms (1%), 1053906 occupied, 23946045 free *** Garbage collection starting *** GC 577 2-Oct-2003 12:14:44, 40 ms (1%), 1054302 occupied, 23945649 free *** Garbage collection starting *** GC 578 2-Oct-2003 12:14:47, 40 ms (1%), 1055018 occupied, 23944933 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 579 2-Oct-2003 12:14:56, 40 ms (1%), 1067688 occupied, 23932258 free Eliminate q26 from e_282 and e_72. e_72: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q26,q18,p9,p8,p7,p5,p2) is replaced by e_333: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q19,q18,p9,p8,p5,p2) Step 226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 580 2-Oct-2003 12:15:04, 30 ms (1%), 1052204 occupied, 23947747 free *** Garbage collection starting *** GC 581 2-Oct-2003 12:15:07, 40 ms (1%), 1054696 occupied, 23945255 free *** Garbage collection starting *** GC 582 2-Oct-2003 12:15:09, 30 ms (1%), 1055688 occupied, 23944258 free *** Garbage collection starting *** GC 583 2-Oct-2003 12:15:12, 40 ms (1%), 1055782 occupied, 23944164 free *** Garbage collection starting *** GC 584 2-Oct-2003 12:15:15, 40 ms (1%), 1056262 occupied, 23943684 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 585 2-Oct-2003 12:15:24, 40 ms (1%), 1080016 occupied, 23919932 free Eliminate q29 from e_167 and e_163. e_163: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q26,q24,q8,q5,p7,p6,p2,p1) is replaced by e_334: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q24,q8,q6,q5,p7,p2,p1) 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 : *** Garbage collection starting *** GC 586 2-Oct-2003 12:15:29, 30 ms (1%), 1054052 occupied, 23945897 free *** Garbage collection starting *** GC 587 2-Oct-2003 12:15:31, 40 ms (1%), 1055048 occupied, 23944902 free *** Garbage collection starting *** GC 588 2-Oct-2003 12:15:34, 40 ms (1%), 1055184 occupied, 23944765 free *** Garbage collection starting *** GC 589 2-Oct-2003 12:15:37, 40 ms (1%), 1055410 occupied, 23944540 free *** Garbage collection starting *** GC 590 2-Oct-2003 12:15:40, 40 ms (1%), 1055764 occupied, 23944185 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 591 2-Oct-2003 12:15:50, 40 ms (1%), 1067280 occupied, 23932668 free Eliminate q29 from e_167 and e_74. e_74: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q26,q24,q9,q7,q5,p7,p6,p2,p1) is replaced by e_335: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q24,q9,q7,q6,q5,p7,p2,p1) Step 228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 592 2-Oct-2003 12:15:53, 40 ms (1%), 1055696 occupied, 23944253 free shortening by 1 term Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 593 2-Oct-2003 12:15:55, 40 ms (1%), 1053650 occupied, 23946300 free *** Garbage collection starting *** GC 594 2-Oct-2003 12:15:58, 40 ms (1%), 1055348 occupied, 23944601 free *** Garbage collection starting *** GC 595 2-Oct-2003 12:16:01, 40 ms (1%), 1056500 occupied, 23943449 free *** Garbage collection starting *** GC 596 2-Oct-2003 12:16:04, 30 ms (1%), 1057478 occupied, 23942471 free *** Garbage collection starting *** GC 597 2-Oct-2003 12:16:07, 40 ms (1%), 1057644 occupied, 23942305 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_335 and e_334. e_335: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q24,q9,q7,q6,q5,p7,p2,p1) is replaced by e_337: 6 terms, 12 factors, with derivatives of functions of all variables: (q9,q8,q7,q6,q5,p7,p2) Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 598 2-Oct-2003 12:16:12, 40 ms (1%), 1055554 occupied, 23944394 free *** Garbage collection starting *** GC 599 2-Oct-2003 12:16:15, 40 ms (1%), 1056342 occupied, 23943606 free *** Garbage collection starting *** GC 600 2-Oct-2003 12:16:18, 30 ms (1%), 1056920 occupied, 23943028 free *** Garbage collection starting *** GC 601 2-Oct-2003 12:16:21, 30 ms (1%), 1057040 occupied, 23942908 free *** Garbage collection starting *** GC 602 2-Oct-2003 12:16:24, 40 ms (1%), 1057168 occupied, 23942780 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_199 and e_177. e_177: 8 terms, 16 factors, with derivatives of functions of all variables: (q30,q26,q24,q8,q7,p8,p7,p6,p3,p2) is replaced by e_338: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q24,q8,q7,q6,p8,p7,p3,p2) 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 : *** Garbage collection starting *** GC 603 2-Oct-2003 12:16:28, 40 ms (1%), 1055826 occupied, 23944124 free *** Garbage collection starting *** GC 604 2-Oct-2003 12:16:31, 40 ms (1%), 1057386 occupied, 23942564 free *** Garbage collection starting *** GC 605 2-Oct-2003 12:16:34, 40 ms (1%), 1058138 occupied, 23941812 free *** Garbage collection starting *** GC 606 2-Oct-2003 12:16:37, 40 ms (1%), 1058584 occupied, 23941366 free *** Garbage collection starting *** GC 607 2-Oct-2003 12:16:40, 40 ms (1%), 1059020 occupied, 23940930 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_61 and e_333. e_333: 6 terms, 12 factors, with derivatives of functions of all variables: (q34,q19,q18,p9,p8,p5,p2) is replaced by e_339: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q18,q7,q6,p9,p8,p2) Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 608 2-Oct-2003 12:16:48, 40 ms (1%), 1055390 occupied, 23944560 free *** Garbage collection starting *** GC 609 2-Oct-2003 12:16:51, 30 ms (1%), 1057004 occupied, 23942946 free *** Garbage collection starting *** GC 610 2-Oct-2003 12:16:54, 40 ms (1%), 1058278 occupied, 23941672 free *** Garbage collection starting *** GC 611 2-Oct-2003 12:16:58, 40 ms (1%), 1059604 occupied, 23940345 free *** Garbage collection starting *** GC 612 2-Oct-2003 12:17:01, 40 ms (1%), 1059848 occupied, 23940101 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 613 2-Oct-2003 12:17:11, 40 ms (1%), 1066163 occupied, 23933786 free *** Garbage collection starting *** GC 614 2-Oct-2003 12:17:21, 40 ms (1%), 1063405 occupied, 23936544 free *** Garbage collection starting *** GC 615 2-Oct-2003 12:17:32, 50 ms (1%), 1082873 occupied, 23917072 free *** Garbage collection starting *** GC 616 2-Oct-2003 12:17:43, 40 ms (1%), 1057243 occupied, 23942706 free *** Garbage collection starting *** GC 617 2-Oct-2003 12:17:55, 40 ms (1%), 1058749 occupied, 23941199 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_145 we get the alternative equations : 0=p9 0=q24 New level : 1.1.1. CRACK is now called with the new equation e_384 : 0=p9 e_306,e_47,e_78 are consequences of e_384 Step 233: Hot list of urgent steps : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: g0061*p8 + g0062*p7 e_115 is a consequence of e_244. e_274 is a consequence of e_120. Substitution of p9 found in e_384 : p9=0 Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_330 is a consequence of e_192. Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_348 is a consequence of e_192. 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 : *** Garbage collection starting *** GC 618 2-Oct-2003 12:17:58, 30 ms (1%), 1056504 occupied, 23943447 free *** Garbage collection starting *** GC 619 2-Oct-2003 12:18:01, 40 ms (1%), 1058702 occupied, 23941249 free *** Garbage collection starting *** GC 620 2-Oct-2003 12:18:03, 30 ms (1%), 1060300 occupied, 23939651 free *** Garbage collection starting *** GC 621 2-Oct-2003 12:18:06, 40 ms (1%), 1060836 occupied, 23939115 free *** Garbage collection starting *** GC 622 2-Oct-2003 12:18:09, 40 ms (1%), 1061200 occupied, 23938751 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_298 and e_253. e_253: 0=(3*q16 - 5*q33)*p7 is replaced by e_362: 0=p7*q16 e_362 is a consequence of e_40. Step 254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 623 2-Oct-2003 12:18:12, 30 ms (1%), 1058528 occupied, 23941423 free *** Garbage collection starting *** GC 624 2-Oct-2003 12:18:15, 40 ms (1%), 1060370 occupied, 23939581 free *** Garbage collection starting *** GC 625 2-Oct-2003 12:18:17, 40 ms (1%), 1060644 occupied, 23939307 free *** Garbage collection starting *** GC 626 2-Oct-2003 12:18:20, 40 ms (1%), 1060808 occupied, 23939143 free *** Garbage collection starting *** GC 627 2-Oct-2003 12:18:23, 40 ms (1%), 1060974 occupied, 23938977 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_40 and e_256. e_256: 0=(q16 - q18)*p7 is replaced by e_363: 0=p7*q18 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 : *** Garbage collection starting *** GC 628 2-Oct-2003 12:18:26, 40 ms (1%), 1058466 occupied, 23941485 free *** Garbage collection starting *** GC 629 2-Oct-2003 12:18:29, 40 ms (1%), 1060780 occupied, 23939171 free *** Garbage collection starting *** GC 630 2-Oct-2003 12:18:32, 40 ms (1%), 1061326 occupied, 23938625 free *** Garbage collection starting *** GC 631 2-Oct-2003 12:18:35, 40 ms (1%), 1061812 occupied, 23938139 free *** Garbage collection starting *** GC 632 2-Oct-2003 12:18:38, 30 ms (1%), 1061992 occupied, 23937959 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_363 and e_352. e_352: 0=(q18 + 2*q19)*p7 is replaced by e_371: 0=p7*q19 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 : *** Garbage collection starting *** GC 633 2-Oct-2003 12:18:41, 30 ms (1%), 1059524 occupied, 23940427 free *** Garbage collection starting *** GC 634 2-Oct-2003 12:18:44, 40 ms (1%), 1061448 occupied, 23938503 free *** Garbage collection starting *** GC 635 2-Oct-2003 12:18:47, 30 ms (1%), 1061972 occupied, 23937979 free *** Garbage collection starting *** GC 636 2-Oct-2003 12:18:50, 40 ms (1%), 1063238 occupied, 23936713 free *** Garbage collection starting *** GC 637 2-Oct-2003 12:18:53, 30 ms (1%), 1063414 occupied, 23936537 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_371 and e_6. e_6: 0=(q16 + q19)*p7 is replaced by e_376: 0=p7*q16 e_376 is a consequence of e_40. 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 : *** Garbage collection starting *** GC 638 2-Oct-2003 12:18:56, 30 ms (1%), 1060654 occupied, 23939297 free *** Garbage collection starting *** GC 639 2-Oct-2003 12:18:59, 40 ms (1%), 1061896 occupied, 23938055 free *** Garbage collection starting *** GC 640 2-Oct-2003 12:19:02, 30 ms (1%), 1063024 occupied, 23936927 free *** Garbage collection starting *** GC 641 2-Oct-2003 12:19:05, 40 ms (1%), 1063402 occupied, 23936549 free *** Garbage collection starting *** GC 642 2-Oct-2003 12:19:09, 40 ms (1%), 1063926 occupied, 23936025 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_373 and e_365. e_373: 0=(q26 - 3*q34)*p5 is replaced by e_377: 0=p5*q26 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 e_306 is a consequence of e_377. 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 e_387 is a consequence of e_377. Step 268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 643 2-Oct-2003 12:19:13, 40 ms (1%), 1060046 occupied, 23939905 free *** Garbage collection starting *** GC 644 2-Oct-2003 12:19:16, 30 ms (1%), 1061948 occupied, 23938003 free *** Garbage collection starting *** GC 645 2-Oct-2003 12:19:19, 40 ms (1%), 1062136 occupied, 23937815 free *** Garbage collection starting *** GC 646 2-Oct-2003 12:19:22, 40 ms (1%), 1062662 occupied, 23937289 free *** Garbage collection starting *** GC 647 2-Oct-2003 12:19:26, 40 ms (1%), 1063272 occupied, 23936679 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q33 from e_385 and e_93. e_93: 0=(q33 - q35)*p8 is replaced by e_388: 0=p8*q35 e_388 is a consequence of e_78. 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 : *** Garbage collection starting *** GC 648 2-Oct-2003 12:19:29, 40 ms (1%), 1062750 occupied, 23937200 free *** Garbage collection starting *** GC 649 2-Oct-2003 12:19:33, 40 ms (1%), 1063852 occupied, 23936098 free *** Garbage collection starting *** GC 650 2-Oct-2003 12:19:36, 40 ms (1%), 1064978 occupied, 23934972 free *** Garbage collection starting *** GC 651 2-Oct-2003 12:19:40, 40 ms (1%), 1065466 occupied, 23934484 free *** Garbage collection starting *** GC 652 2-Oct-2003 12:19:43, 40 ms (1%), 1065700 occupied, 23934250 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_381 and e_365. e_365: 0=(2*q26 - 7*q34)*p5 is replaced by e_389: 0=p5*q26 e_389 is a consequence of e_377. 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 : *** Garbage collection starting *** GC 653 2-Oct-2003 12:19:47, 40 ms (1%), 1063112 occupied, 23936839 free *** Garbage collection starting *** GC 654 2-Oct-2003 12:19:51, 40 ms (1%), 1064078 occupied, 23935873 free *** Garbage collection starting *** GC 655 2-Oct-2003 12:19:55, 40 ms (1%), 1064484 occupied, 23935467 free *** Garbage collection starting *** GC 656 2-Oct-2003 12:19:59, 40 ms (1%), 1064684 occupied, 23935267 free *** Garbage collection starting *** GC 657 2-Oct-2003 12:20:02, 40 ms (1%), 1065060 occupied, 23934891 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_381 and e_355. e_355: 0=(q26 - 4*q34)*p5 is replaced by e_67: 0=p5*q26 e_67 is a consequence of e_377. Step 271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 658 2-Oct-2003 12:20:05, 40 ms (1%), 1063190 occupied, 23936760 free *** Garbage collection starting *** GC 659 2-Oct-2003 12:20:08, 30 ms (1%), 1063404 occupied, 23936546 free *** Garbage collection starting *** GC 660 2-Oct-2003 12:20:11, 40 ms (1%), 1063588 occupied, 23936362 free *** Garbage collection starting *** GC 661 2-Oct-2003 12:20:15, 30 ms (1%), 1064042 occupied, 23935908 free *** Garbage collection starting *** GC 662 2-Oct-2003 12:20:18, 40 ms (1%), 1064450 occupied, 23935500 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q2 from e_280 and e_106. e_106: 0=(q2 - q22 - q4)*p7 is replaced by e_115: 0=(q22 + q4)*p7 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 : *** Garbage collection starting *** GC 663 2-Oct-2003 12:20:26, 40 ms (1%), 1063370 occupied, 23936581 free *** Garbage collection starting *** GC 664 2-Oct-2003 12:20:29, 40 ms (1%), 1065136 occupied, 23934815 free *** Garbage collection starting *** GC 665 2-Oct-2003 12:20:32, 30 ms (1%), 1065978 occupied, 23933973 free *** Garbage collection starting *** GC 666 2-Oct-2003 12:20:35, 40 ms (1%), 1066288 occupied, 23933663 free *** Garbage collection starting *** GC 667 2-Oct-2003 12:20:39, 30 ms (1%), 1066472 occupied, 23933479 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q22 from e_260 and e_115. e_115: 0=(q22 + q4)*p7 is replaced by e_205: 0=p7*q4 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 : *** Garbage collection starting *** GC 668 2-Oct-2003 12:20:42, 40 ms (1%), 1064142 occupied, 23935809 free *** Garbage collection starting *** GC 669 2-Oct-2003 12:20:46, 30 ms (1%), 1065472 occupied, 23934479 free *** Garbage collection starting *** GC 670 2-Oct-2003 12:20:49, 40 ms (1%), 1065958 occupied, 23933993 free *** Garbage collection starting *** GC 671 2-Oct-2003 12:20:53, 40 ms (1%), 1066540 occupied, 23933411 free *** Garbage collection starting *** GC 672 2-Oct-2003 12:20:56, 40 ms (1%), 1066962 occupied, 23932989 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q3 from e_109 and e_159. e_159: 0=p2*q4 - 2*p7*q3 is replaced by e_73: 0=p2*q4 + 2*p7*q1 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 : *** Garbage collection starting *** GC 673 2-Oct-2003 12:21:04, 30 ms (1%), 1064638 occupied, 23935313 free *** Garbage collection starting *** GC 674 2-Oct-2003 12:21:07, 30 ms (1%), 1066378 occupied, 23933573 free *** Garbage collection starting *** GC 675 2-Oct-2003 12:21:11, 40 ms (1%), 1067494 occupied, 23932457 free *** Garbage collection starting *** GC 676 2-Oct-2003 12:21:15, 40 ms (1%), 1067754 occupied, 23932197 free *** Garbage collection starting *** GC 677 2-Oct-2003 12:21:19, 40 ms (1%), 1067952 occupied, 23931999 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q3 from e_109 and e_132. e_132: 0=p7*q3 - p8*q2 is replaced by e_157: 0=p7*q1 + p8*q2 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 : *** Garbage collection starting *** GC 678 2-Oct-2003 12:21:23, 40 ms (1%), 1065304 occupied, 23934647 free *** Garbage collection starting *** GC 679 2-Oct-2003 12:21:27, 40 ms (1%), 1067216 occupied, 23932735 free *** Garbage collection starting *** GC 680 2-Oct-2003 12:21:31, 40 ms (1%), 1067414 occupied, 23932537 free *** Garbage collection starting *** GC 681 2-Oct-2003 12:21:35, 40 ms (1%), 1067780 occupied, 23932171 free *** Garbage collection starting *** GC 682 2-Oct-2003 12:21:39, 40 ms (1%), 1068138 occupied, 23931813 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_290 and e_109. e_109: 0=(q1 + q3)*p7 is replaced by e_233: 0=p7*q3 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 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 : *** Garbage collection starting *** GC 683 2-Oct-2003 12:21:43, 40 ms (1%), 1067256 occupied, 23932695 free *** Garbage collection starting *** GC 684 2-Oct-2003 12:21:47, 40 ms (1%), 1067842 occupied, 23932109 free *** Garbage collection starting *** GC 685 2-Oct-2003 12:21:52, 40 ms (1%), 1068280 occupied, 23931671 free *** Garbage collection starting *** GC 686 2-Oct-2003 12:21:56, 40 ms (1%), 1068672 occupied, 23931279 free *** Garbage collection starting *** GC 687 2-Oct-2003 12:22:00, 40 ms (1%), 1068884 occupied, 23931067 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 688 2-Oct-2003 12:22:13, 30 ms (1%), 1066283 occupied, 23933668 free *** Garbage collection starting *** GC 689 2-Oct-2003 12:22:26, 40 ms (1%), 1067661 occupied, 23932290 free *** Garbage collection starting *** GC 690 2-Oct-2003 12:22:41, 40 ms (1%), 1075465 occupied, 23924485 free *** Garbage collection starting *** GC 691 2-Oct-2003 12:23:00, 40 ms (1%), 1071763 occupied, 23928188 free Eliminate q31 from e_90 and e_95. e_95: 12 terms, 24 factors, with derivatives of functions of all variables: (q31,q27,q22,q19,q16,q12,q4,q1,p5,p4,p3,p1) is replaced by e_344: 12 terms, 24 factors, with derivatives of functions of all variables: (q27,q22,q19,q18,q12,q11,q4,q3,q2,q1,p5,p4,p3,p1) 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 : *** Garbage collection starting *** GC 692 2-Oct-2003 12:23:05, 40 ms (1%), 1069966 occupied, 23929985 free *** Garbage collection starting *** GC 693 2-Oct-2003 12:23:09, 40 ms (1%), 1070642 occupied, 23929309 free *** Garbage collection starting *** GC 694 2-Oct-2003 12:23:14, 40 ms (1%), 1072116 occupied, 23927835 free 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 : *** Garbage collection starting *** GC 695 2-Oct-2003 12:23:18, 40 ms (1%), 1068680 occupied, 23931271 free shortening by 1 term Step 289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 696 2-Oct-2003 12:23:23, 40 ms (1%), 1069130 occupied, 23930821 free 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 : *** Garbage collection starting *** GC 697 2-Oct-2003 12:23:28, 40 ms (1%), 1068078 occupied, 23931872 free shortening by 1 term Step 292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 698 2-Oct-2003 12:23:33, 40 ms (1%), 1068696 occupied, 23931255 free *** Garbage collection starting *** GC 699 2-Oct-2003 12:23:37, 40 ms (1%), 1070498 occupied, 23929453 free *** Garbage collection starting *** GC 700 2-Oct-2003 12:23:42, 40 ms (1%), 1074412 occupied, 23925539 free *** Garbage collection starting *** GC 701 2-Oct-2003 12:23:47, 40 ms (1%), 1075528 occupied, 23924422 free *** Garbage collection starting *** GC 702 2-Oct-2003 12:23:52, 40 ms (1%), 1076402 occupied, 23923548 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 703 2-Oct-2003 12:24:20, 40 ms (1%), 1073677 occupied, 23926273 free factorizing e_183 we get the alternative equations : 0=p6 0=q24 New level : 1.1.1.1. CRACK is now called with the new equation e_433 : 0=p6 e_235,e_12,e_221,e_283,e_69 are consequences of e_433 Step 293: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms e_206 is a consequence of e_115. Substitution of p6 found in e_433 : p6=0 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 : *** Garbage collection starting *** GC 704 2-Oct-2003 12:24:24, 40 ms (1%), 1070434 occupied, 23929516 free *** Garbage collection starting *** GC 705 2-Oct-2003 12:24:27, 40 ms (1%), 1071822 occupied, 23928128 free *** Garbage collection starting *** GC 706 2-Oct-2003 12:24:31, 40 ms (1%), 1072236 occupied, 23927714 free *** Garbage collection starting *** GC 707 2-Oct-2003 12:24:34, 40 ms (1%), 1072994 occupied, 23926956 free *** Garbage collection starting *** GC 708 2-Oct-2003 12:24:37, 30 ms (1%), 1073424 occupied, 23926526 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q8 from e_97 and e_64. e_64: 6 terms, 12 factors, with derivatives of functions of all variables: (q9,q8,q6,p8,p7,p2) is replaced by e_387: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q6,p8,p7,p2) Step 299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 709 2-Oct-2003 12:24:44, 30 ms (1%), 1072430 occupied, 23927520 free *** Garbage collection starting *** GC 710 2-Oct-2003 12:24:48, 40 ms (1%), 1072850 occupied, 23927100 free *** Garbage collection starting *** GC 711 2-Oct-2003 12:24:51, 40 ms (1%), 1073200 occupied, 23926750 free *** Garbage collection starting *** GC 712 2-Oct-2003 12:24:55, 40 ms (1%), 1074216 occupied, 23925734 free *** Garbage collection starting *** GC 713 2-Oct-2003 12:24:59, 40 ms (1%), 1075178 occupied, 23924772 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_33 and e_269. e_269: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q24,q7,p8,p7,p3) is replaced by e_365: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q7,q6,p8,p7) 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 : *** Garbage collection starting *** GC 714 2-Oct-2003 12:25:08, 40 ms (1%), 1072868 occupied, 23927082 free *** Garbage collection starting *** GC 715 2-Oct-2003 12:25:12, 40 ms (1%), 1074458 occupied, 23925492 free *** Garbage collection starting *** GC 716 2-Oct-2003 12:25:16, 40 ms (1%), 1075948 occupied, 23924002 free shortening by 1 term Step 301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 717 2-Oct-2003 12:25:20, 40 ms (1%), 1075398 occupied, 23924552 free *** Garbage collection starting *** GC 718 2-Oct-2003 12:25:25, 40 ms (1%), 1076134 occupied, 23923816 free *** Garbage collection starting *** GC 719 2-Oct-2003 12:25:29, 40 ms (1%), 1077580 occupied, 23922370 free *** Garbage collection starting *** GC 720 2-Oct-2003 12:25:34, 40 ms (1%), 1078046 occupied, 23921904 free *** Garbage collection starting *** GC 721 2-Oct-2003 12:25:39, 40 ms (1%), 1078362 occupied, 23921588 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_106 and e_320. e_320: 5 terms, 10 factors, with derivatives of functions of all variables: (q24,q8,q6,p8,p2,p1) is replaced by e_392: 5 terms, 10 factors, with derivatives of functions of all variables: (q8,q6,p8,p7,p2) Step 302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 722 2-Oct-2003 12:25:44, 40 ms (1%), 1075734 occupied, 23924215 free *** Garbage collection starting *** GC 723 2-Oct-2003 12:25:49, 40 ms (1%), 1078168 occupied, 23921781 free 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 : *** Garbage collection starting *** GC 724 2-Oct-2003 12:25:54, 40 ms (1%), 1078110 occupied, 23921840 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 725 2-Oct-2003 12:26:00, 40 ms (1%), 1079004 occupied, 23920946 free *** Garbage collection starting *** GC 726 2-Oct-2003 12:26:05, 40 ms (1%), 1081358 occupied, 23918592 free *** Garbage collection starting *** GC 727 2-Oct-2003 12:26:11, 40 ms (1%), 1081786 occupied, 23918164 free *** Garbage collection starting *** GC 728 2-Oct-2003 12:26:17, 40 ms (1%), 1082216 occupied, 23917734 free *** Garbage collection starting *** GC 729 2-Oct-2003 12:26:23, 40 ms (1%), 1083248 occupied, 23916702 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_106 and e_193. e_193: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q24,q23,q9,p8,p7,p1) is replaced by e_401: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q23,q9,q6,p8,p7) Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 730 2-Oct-2003 12:26:32, 40 ms (1%), 1078528 occupied, 23921422 free *** Garbage collection starting *** GC 731 2-Oct-2003 12:26:39, 50 ms (1%), 1081730 occupied, 23918220 free *** Garbage collection starting *** GC 732 2-Oct-2003 12:26:46, 40 ms (1%), 1085230 occupied, 23914719 free *** Garbage collection starting *** GC 733 2-Oct-2003 12:26:53, 40 ms (1%), 1085768 occupied, 23914181 free *** Garbage collection starting *** GC 734 2-Oct-2003 12:27:01, 40 ms (1%), 1086162 occupied, 23913787 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_106 and e_160. e_160: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q24,q23,q8,p8,p7,p1) is replaced by e_406: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q23,q8,q6,p8,p7,p1) 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 : *** Garbage collection starting *** GC 735 2-Oct-2003 12:27:09, 40 ms (1%), 1080164 occupied, 23919784 free *** Garbage collection starting *** GC 736 2-Oct-2003 12:27:17, 40 ms (1%), 1082580 occupied, 23917368 free *** Garbage collection starting *** GC 737 2-Oct-2003 12:27:26, 40 ms (1%), 1083130 occupied, 23916818 free *** Garbage collection starting *** GC 738 2-Oct-2003 12:27:35, 40 ms (1%), 1084018 occupied, 23915930 free *** Garbage collection starting *** GC 739 2-Oct-2003 12:27:45, 40 ms (1%), 1085532 occupied, 23914416 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q35 from e_38 and e_159. e_159: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q33,q23,q19,q18,p5,p1) is replaced by e_411: 5 terms, 10 factors, with derivatives of functions of all variables: (q33,q23,q19,q18,q5,p5,p1) Step 306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 740 2-Oct-2003 12:27:55, 40 ms (1%), 1082820 occupied, 23917129 free *** Garbage collection starting *** GC 741 2-Oct-2003 12:28:06, 40 ms (1%), 1083932 occupied, 23916017 free *** Garbage collection starting *** GC 742 2-Oct-2003 12:28:17, 40 ms (1%), 1084474 occupied, 23915475 free *** Garbage collection starting *** GC 743 2-Oct-2003 12:28:30, 40 ms (1%), 1085212 occupied, 23914737 free *** Garbage collection starting *** GC 744 2-Oct-2003 12:28:44, 40 ms (1%), 1086124 occupied, 23913825 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_106 and e_279. e_279: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q24,q23,q9,q7,q5,p8,p7,p1) is replaced by e_422: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q23,q9,q7,q6,q5,p8,p7) 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 : *** Garbage collection starting *** GC 745 2-Oct-2003 12:29:00, 40 ms (1%), 1081892 occupied, 23918057 free *** Garbage collection starting *** GC 746 2-Oct-2003 12:29:14, 40 ms (1%), 1086690 occupied, 23913259 free *** Garbage collection starting *** GC 747 2-Oct-2003 12:29:31, 50 ms (1%), 1087592 occupied, 23912357 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 748 2-Oct-2003 12:29:49, 40 ms (1%), 1091709 occupied, 23908239 free Eliminate q26 from e_406 and e_247. e_406: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q23,q8,q6,p8,p7,p1) is replaced by e_428: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q6,q5,p8,p7,p2) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 749 2-Oct-2003 12:30:09, 50 ms (1%), 1085305 occupied, 23914645 free --- Factorization to subcases leading to substitutions : factorizing e_203 we get the alternative equations : 0=p2 0=q20 New level : 1.1.1.1.1. CRACK is now called with the new equation e_443 : 0=p2 e_172,e_197,e_274,e_379,e_383,e_326 are consequences of e_443 Step 311: Hot list of urgent steps : e_433 is a consequence of e_311. e_341 is a consequence of e_11. e_342 is a consequence of e_13. e_291 is a consequence of e_322. e_95 is a consequence of e_192. e_295 is a consequence of e_244. Substitution of p2 found in e_443 : p2=0 Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 750 2-Oct-2003 12:30:32, 30 ms (1%), 1075277 occupied, 23924674 free --- Algebraic length reduction of equations : shortening by 1 term Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 751 2-Oct-2003 12:30:36, 40 ms (1%), 1078067 occupied, 23921884 free *** Garbage collection starting *** GC 752 2-Oct-2003 12:30:40, 40 ms (1%), 1078643 occupied, 23921308 free *** Garbage collection starting *** GC 753 2-Oct-2003 12:30:45, 40 ms (1%), 1079327 occupied, 23920624 free *** Garbage collection starting *** GC 754 2-Oct-2003 12:30:49, 40 ms (1%), 1079907 occupied, 23920044 free *** Garbage collection starting *** GC 755 2-Oct-2003 12:30:54, 40 ms (1%), 1080409 occupied, 23919542 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q30 from e_426 and e_312. e_312: 0=(q13 - 2*q21 - q30)*p5 is replaced by e_383: 0=(2*q13 - 5*q21)*p5 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 : *** Garbage collection starting *** GC 756 2-Oct-2003 12:31:01, 40 ms (1%), 1078157 occupied, 23921794 free *** Garbage collection starting *** GC 757 2-Oct-2003 12:31:06, 40 ms (1%), 1079027 occupied, 23920924 free *** Garbage collection starting *** GC 758 2-Oct-2003 12:31:12, 40 ms (1%), 1079867 occupied, 23920084 free shortening by 1 term Step 322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 759 2-Oct-2003 12:31:18, 40 ms (1%), 1078789 occupied, 23921162 free 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 : *** Garbage collection starting *** GC 760 2-Oct-2003 12:31:22, 40 ms (1%), 1081675 occupied, 23918274 free *** Garbage collection starting *** GC 761 2-Oct-2003 12:31:27, 40 ms (1%), 1082327 occupied, 23917622 free *** Garbage collection starting *** GC 762 2-Oct-2003 12:31:33, 40 ms (1%), 1082841 occupied, 23917108 free *** Garbage collection starting *** GC 763 2-Oct-2003 12:31:38, 40 ms (1%), 1084377 occupied, 23915572 free 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 : *** Garbage collection starting *** GC 764 2-Oct-2003 12:31:45, 40 ms (1%), 1080779 occupied, 23919172 free 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 : *** Garbage collection starting *** GC 765 2-Oct-2003 12:31:51, 40 ms (1%), 1082745 occupied, 23917206 free *** Garbage collection starting *** GC 766 2-Oct-2003 12:31:58, 40 ms (1%), 1085145 occupied, 23914806 free *** Garbage collection starting *** GC 767 2-Oct-2003 12:32:07, 40 ms (1%), 1085835 occupied, 23914116 free *** Garbage collection starting *** GC 768 2-Oct-2003 12:32:16, 40 ms (1%), 1087175 occupied, 23912776 free *** Garbage collection starting *** GC 769 2-Oct-2003 12:32:26, 40 ms (1%), 1087887 occupied, 23912064 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_69 and e_431. e_431: 0=5*p1*q24 + p8*q7 is replaced by e_373: 0=(5*q5 - 4*q7)*p8 Step 327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 770 2-Oct-2003 12:32:40, 40 ms (1%), 1086741 occupied, 23913210 free *** Garbage collection starting *** GC 771 2-Oct-2003 12:32:53, 40 ms (1%), 1087827 occupied, 23912124 free --- Length reducing decoupling steps : Eliminate q29 from e_188 and e_216. e_216: 0=2*p7*q30 - p8*q29 is replaced by e_380: 0=(q13 + q30)*p7 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 : --- Length reducing decoupling steps : Eliminate q7 from e_373 and e_438. e_438: 3 terms, 6 factors, with derivatives of functions of all variables: (q25,q7,p8,p7) is replaced by e_234: 3 terms, 6 factors, with derivatives of functions of all variables: (q25,q5,p8,p7) 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 772 2-Oct-2003 12:33:08, 40 ms (1%), 1086707 occupied, 23913244 free --- Length reducing decoupling steps : Eliminate q32 from e_350 and e_14. e_14: 3 terms, 6 factors, with derivatives of functions of all variables: (q32,q29,q15,p7,p4) is replaced by e_47: 3 terms, 6 factors, with derivatives of functions of all variables: (q29,q15,q13,p7,p4) 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 : --- Length reducing decoupling steps : Eliminate q9 from e_435 and e_190. e_190: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q25,q9,p8,p7) is replaced by e_19: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q25,q6,p8,p7) Step 331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 773 2-Oct-2003 12:33:25, 40 ms (1%), 1087629 occupied, 23912322 free --- Length reducing decoupling steps : Eliminate q32 from e_350 and e_227. e_227: 3 terms, 6 factors, with derivatives of functions of all variables: (q32,q30,q15,p8,p7,p4) is replaced by e_388: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q15,q13,p8,p4) 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 : *** Garbage collection starting *** GC 774 2-Oct-2003 12:33:42, 40 ms (1%), 1088017 occupied, 23911934 free --- Length reducing decoupling steps : Eliminate q15 from e_393 and e_67. e_67: 0=4*p4*q30 - 3*p8*q15 is replaced by e_396: 0=(3*q13 + q30)*p4 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 : --- Length reducing decoupling steps : Eliminate q30 from e_357 and e_201. e_201: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q24,q14,p8,p4,p3) is replaced by e_399: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q14,q13,p8,p4,p3) 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 : --- Length reducing decoupling steps : Eliminate q24 from e_69 and e_106. e_106: 0=p1*q24 - p7*q6 is replaced by e_403: 0=4*p7*q6 + p8*q5 Step 337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 775 2-Oct-2003 12:33:59, 40 ms (0%), 1085629 occupied, 23914322 free --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_360. e_360: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q6,q5,p8,p7) is replaced by e_160: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q5,p8,p7) 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 : *** Garbage collection starting *** GC 776 2-Oct-2003 12:34:16, 40 ms (0%), 1087835 occupied, 23912116 free --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_435. e_435: 0=4*p7*q6 + p8*q9 is replaced by e_414: 0=(q5 - q9)*p8 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 : --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_12. e_12: 0=p7*q6 + p8*q8 is replaced by e_411: 0=(q5 - 4*q8)*p8 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 : *** Garbage collection starting *** GC 777 2-Oct-2003 12:34:34, 50 ms (0%), 1087355 occupied, 23912596 free --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_19. e_19: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q25,q6,p8,p7) is replaced by e_420: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q25,q5,p8,p7) Step 342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_256. e_256: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q8,q6,q5,p7,p1) is replaced by e_406: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q8,q5,p8,p7,p1) Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 778 2-Oct-2003 12:34:52, 50 ms (0%), 1087759 occupied, 23912192 free --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_401. e_401: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q23,q9,q6,p8,p7) is replaced by e_432: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q23,q9,q5,p8,p7) 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 : --- Length reducing decoupling steps : Eliminate q8 from e_411 and e_28. e_28: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q25,q8,p8,p7,p3,p1) is replaced by e_362: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q25,q5,p8,p7,p3,p1) Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 779 2-Oct-2003 12:35:11, 40 ms (0%), 1086901 occupied, 23913050 free --- Length reducing decoupling steps : Eliminate q6 from e_403 and e_253. e_253: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q9,q7,q6,p7,p1) is replaced by e_440: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q9,q7,q5,p8,p7,p1) 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 : *** Garbage collection starting *** GC 780 2-Oct-2003 12:35:31, 50 ms (0%), 1090137 occupied, 23909814 free --- Length reducing decoupling steps : Eliminate q30 from e_374 and e_24. e_24: 5 terms, 10 factors, with derivatives of functions of all variables: (q30,q29,q24,q14,q11,p8,p7,p4,p3,p1) is replaced by e_312: 5 terms, 10 factors, with derivatives of functions of all variables: (q29,q24,q14,q12,q11,p8,p7,p4,p3) Step 349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 781 2-Oct-2003 12:35:48, 40 ms (0%), 1083101 occupied, 23916851 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 782 2-Oct-2003 12:35:56, 40 ms (0%), 1086960 occupied, 23912988 free Eliminate q24 from e_450 and e_208. e_208: 0=p4*q24 - p7*q10 + p7*q27 is replaced by e_433: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q10,p8,p7) 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 : --- Length reducing decoupling steps : Eliminate q24 from e_450 and e_399. e_399: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q14,q13,p8,p4,p3) is replaced by e_372: 3 terms, 6 factors, with derivatives of functions of all variables: (q14,q13,q10,p8,p3) 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 : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_357. e_357: 0=p3*q13 - p3*q30 + p8*q14 is replaced by e_6: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q13,q10,p8,p3) Step 355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 783 2-Oct-2003 12:36:04, 40 ms (0%), 1083445 occupied, 23916506 free --- Length reducing decoupling steps : Eliminate q24 from e_450 and e_374. e_374: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q24,q12,p8,p4,p1) is replaced by e_368: 3 terms, 6 factors, with derivatives of functions of all variables: (q30,q12,q10,p8,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 784 2-Oct-2003 12:36:14, 40 ms (0%), 1088402 occupied, 23911545 free Eliminate q24 from e_450 and e_445. e_445: 4 terms, 8 factors, with derivatives of functions of all variables: (q30,q24,q12,q11,p8,p4,p3) is replaced by e_438: 4 terms, 8 factors, with derivatives of functions of all variables: (q30,q12,q11,q10,p8,p3) 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 : --- Length reducing decoupling steps : Eliminate q24 from e_450 and e_31. e_31: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q24,q12,p8,p7,p4) is replaced by e_306: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q12,q10,p8,p7,p4) Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 785 2-Oct-2003 12:36:25, 40 ms (0%), 1087505 occupied, 23912447 free --- Length reducing decoupling steps : Eliminate q24 from e_450 and e_292. e_292: 3 terms, 6 factors, with derivatives of functions of all variables: (q29,q24,q11,p7,p4,p1) is replaced by e_93: 3 terms, 6 factors, with derivatives of functions of all variables: (q29,q11,q10,p8,p7,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 786 2-Oct-2003 12:36:44, 40 ms (0%), 1085982 occupied, 23913970 free --- Factorization to subcases leading to substitutions : factorizing e_70 we get the alternative equations : 0=p8 0=q26 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_421 : 0=p8 e_351,e_373,e_414,e_411,e_101,e_322,e_192,e_244,e_311,e_78,e_385,e_11,e_13,e_182 ,e_206,e_273,e_29,e_346 are consequences of e_421 Step 360: Hot list of urgent steps : 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: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p5,p4, p3,p1 New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p5,p4,p3, p1,p7 e_279 is a consequence of e_371. e_420 is a consequence of e_298.e_27 is a consequence of e_420 e_425 is a consequence of e_260. e_340 is a consequence of e_120.e_107,e_132,e_157,e_115 are consequences of e_427 e_8,e_204,e_248,e_384 are consequences of e_256 e_265,e_99,e_429 are consequences of e_33 e_430 is a consequence of e_33. e_183 is a consequence of e_33.e_401 is a consequence of e_333 e_283 is a consequence of e_333. e_434 is a consequence of e_380. e_345 is a consequence of e_333. e_203 is a consequence of e_66. Substitution of p8 found in e_421 : p8=0 Step 361: Hot list 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 Substitution of q35 found in e_120 : q35=0 Step 362: Hot list 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 e_291 is a consequence of e_333. e_95 is a consequence of e_221. Substitution of q21 found in e_25 : q21=0 Step 363: Hot list 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 10 terms Substitution of q16 found in e_40 : q16=0 Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q22 found in e_260 : q22=0 Step 365: Hot list 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 8 terms Substitution of q34 found in e_60 : q34=0 Step 366: Hot list 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 7 terms e_208 is a consequence of e_51. Substitution of q33 found in e_298 : q33=0 Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q2 found in e_280 : q2=0 Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q18 found in e_363 : q18=0 Step 369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q19 found in e_371 : q19=0 Step 370: Hot list 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: g0013*q3 + g0015*q1 + g0017*p5 e_370 is a consequence of e_362. Substitution of q4 found in e_205 : q4=0 Step 371: Hot list 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: g0013*q3 + g0017*p5 Substitution of q1 found in e_290 : q1=0 Step 372: Hot list 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: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q36,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q20,q15,q14,q13,q12, q11,q10,q9,q8,q7,q6,q5,q3,p5,p4,p3,p1,p7 New ordering: q36,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q20,q15,q14,q13,q12, q11,q10,q9,q8,q7,q6,q5,q3,p4,p3,p1,p5,p7 Substitution of q3 found in e_233 : q3=0 Step 373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_172 is a consequence of e_24. Substitution of q26 found in e_377 : q26=0 Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms Substitution of q29 found in e_177 : q29=0 Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_365 is a consequence of e_333. e_445 is a consequence of e_333. e_380 is a consequence of e_333. Substitution of q30 found in e_221 : q30=0 Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_379 is a consequence of e_443. e_51 is a consequence of e_443. Substitution of q23 found in e_295 : q23=0 Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_326 is a consequence of e_422. e_85 is a consequence of e_24. e_446 is a consequence of e_399. e_338 is a consequence of e_202. Substitution of q5 found in e_443 : q5=0 Step 378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_453 is a consequence of e_439. e_448 is a consequence of e_439. Substitution of q8 found in e_422 : q8=0 Step 379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_227 is a consequence of e_256. e_202 is a consequence of e_256. e_269 is a consequence of e_256. e_184 is a consequence of e_352. Substitution of q20 found in e_427 : q20=0 Step 380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms Substitution of q36 found in e_256 : q36=0 Step 381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms Substitution of q24 found in e_33 : q24=0 Step 382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_454 is a consequence of e_144. e_334 is a consequence of e_362. Substitution of q6 found in e_96 : q6=0 Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q13 found in e_333 : q13=0 Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_352 is a consequence of e_24. e_399 is a consequence of e_144. e_312 is a consequence of e_439. e_452 is a consequence of e_144. e_14 is a consequence of e_144. Substitution of q25 found in e_437 : q25=0 Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0048*q31 + g0052*q27 e_455 is a consequence of e_439. e_31 is a consequence of e_144. e_349 is a consequence of e_439. e_389 is a consequence of e_439. Substitution of q28 found in e_24 : q28=0 Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_442 is a consequence of e_144. e_292 is a consequence of e_144. Substitution of q9 found in e_439 : q9=0 Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms Substitution of q11 found in e_28 : q11=0 Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_300 is a consequence of e_449. Substitution of q14 found in e_274 : q14=0 Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0028*q15 + g0031*q12 + g0033*q10 e_335 is a consequence of e_449. Substitution of q7 found in e_144 : q7=0 Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0031*q12 + g0033*q10 e_375 is a consequence of e_355. e_388 is a consequence of e_355. Substitution of q15 found in e_314 : q15=0 Step 391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0048*q31 + g0052*q27 e_359 is a consequence of e_362. Substitution of q32 found in e_355 : q32=0 Step 392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q10 The list of inequalities got extended by: q12 The list of inequalities got extended by: q27 The list of inequalities got extended by: q31 Substitution of q12 found in e_382 : q12=0 leads to a contradiction in : 0=q12 + 2*q27 Time: 0 ms Time: 0 ms Time: 60 ms The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p5,p4, p3,p1 New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p7,p5,p4,p3, p1,p8 New level : 1.1.1.1.1.2. CRACK is now called with the new equation e_421 : 0=q26 e_377,e_66 are consequences of e_421 Step 393: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms Substitution of q26 found in e_421 : q26=0 Step 394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms e_345 is a consequence of e_333. Substitution of q36 found in e_101 : q36=0 Step 395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q16 found in e_322 : q16=0 Step 396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q18 found in e_192 : q18=0 Step 397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q19 found in e_244 : q19=0 Step 398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q21 found in e_311 : q21=0 Step 399: Hot list 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 8 terms Substitution of q35 found in e_78 : q35=0 Step 400: Hot list 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 7 terms Substitution of q33 found in e_385 : q33=0 Step 401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q2 found in e_11 : q2=0 Step 402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q4 found in e_13 : q4=0 Step 403: Hot list 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 4 terms Substitution of q22 found in e_182 : q22=0 Step 404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms e_449 is a consequence of e_403 Substitution of q6 found in e_206 : q6=0 Step 405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_69 is a consequence of e_403. Substitution of q24 found in e_273 : q24=0 Step 406: Hot list 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: g0004*q34 + g0013*q3 + g0017*p5 Substitution of q1 found in e_29 : q1=0 Step 407: Hot list 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: g0013*q3 + g0017*p5 Substitution of q34 found in e_346 : q34=0 Step 408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_97 is a consequence of e_411 e_279 is a consequence of e_414 e_331 is a consequence of e_253. e_190 is a consequence of e_411. e_234 is a consequence of e_349. *** Garbage collection starting *** GC 787 2-Oct-2003 12:36:49, 40 ms (0%), 1057896 occupied, 23942055 free Substitution of q5 found in e_403 : q5=0 Step 409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_442 is a consequence of e_444. e_6 is a consequence of e_351. Substitution of q10 found in e_450 : q10=0 Step 410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_312 is a consequence of e_373. Substitution of q25 found in e_349 : q25=0 Step 411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_24 is a consequence of e_414. e_394 is a consequence of e_414. e_337 is a consequence of e_373. Substitution of q8 found in e_411 : q8=0 Step 412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_109 is a consequence of e_373. e_446 is a consequence of e_203. Substitution of q9 found in e_414 : q9=0 Step 413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_326 is a consequence of e_253. e_379 is a consequence of e_253.e_160,e_432,e_253,e_31 are consequences of e_409 Substitution of q7 found in e_373 : q7=0 Step 414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_362 is a consequence of e_376. Substitution of q23 found in e_409 : q23=0 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 : The list of inequalities got extended by: An expression with 6 terms e_426 is a consequence of e_383. Substitution of q30 by an expression in q13 found in e_351 : q30= - q13 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 : The list of inequalities got extended by: 4*g0013*q13 - 3*g0017*p8 p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q32,q31,q29,q28,q27,q20,q15,q14,q13,q12,q11,q3,p7,p5,p4,p3,p1,p8 New ordering: q32,q31,q29,q28,q27,q20,q15,q14,q13,q12,q11,q3,p7,p4,p3,p1,p5,p8 The list of inequalities got extended by: An expression with 7 terms e_410 is a consequence of e_383. e_225 is a consequence of e_383.e_396 is a consequence of e_225 Substitution of q3 by an expression in q13, p5, p8 found in e_296 : 4 - ---*p5*q13 3 q3=--------------- p8 Step 417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_413 is a consequence of e_383. Substitution of q29 found in e_177 : q29=0 Step 418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_283 is a consequence of e_431. e_283 is a consequence of e_203. e_221 is a consequence of e_203. e_28 is a consequence of e_431. e_28 is a consequence of e_203. e_434 is a consequence of e_431. e_434 is a consequence of e_203. Substitution of q20 found in e_115 : q20=0 Step 419: Hot list 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 e_159 is a consequence of e_345 e_412 is a consequence of e_101 e_435 is a consequence of e_365 Substitution of q13 found in e_383 : q13=0 Step 420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0048*q31 + g0051*q28 e_415 is a consequence of e_347 e_452 is a consequence of e_101. Substitution of q27 found in e_444 : q27=0 Step 421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0048*q31 e_454 is a consequence of e_448. Substitution of q28 found in e_203 : q28=0 Step 422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0028*q15 + g0029*q14 + g0031*q12 e_451 is a consequence of e_448 e_347 is a consequence of e_101. e_192 is a consequence of e_101. Substitution of q11 found in e_345 : q11=0 Step 423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0028*q15 + g0029*q14 e_453 is a consequence of e_448. e_416 is a consequence of e_437. Substitution of q12 found in e_101 : q12=0 Step 424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q15 The lexicographical ordering of unknowns is changed because q15 has to be non-zero, giving q15 a low priority. Old ordering: q32,q31,q15,q14,p7,p4,p3,p1,p5,p8 New ordering: q32,q31,q14,q15,p7,p4,p3,p1,p5,p8 The list of inequalities got extended by: q32 The lexicographical ordering of unknowns is changed because q32 has to be non-zero, giving q32 a low priority. Old ordering: q32,q31,q14,q15,p7,p4,p3,p1,p5,p8 New ordering: q31,q14,q32,q15,p7,p4,p3,p1,p5,p8 e_172 is a consequence of e_448. e_78 is a consequence of e_448. e_455 is a consequence of e_448. e_401 is a consequence of e_448. Substitution of q14 found in e_437 : q14=0 Step 425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p7 found in e_439 : p7=0 Step 426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q15=0 because of the non-vanishing expression: q15 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 90 ms The list of inequalities got extended by: p2 The lexicographical ordering of unknowns is changed because p2 has to be non-zero, giving p2 a low priority. Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p5,p4, p3,p2,p1 New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p5,p4, p3,p1,p2 New level : 1.1.1.1.2. CRACK is now called with the new equation e_443 : 0=q20 e_266,e_107,e_132,e_157,e_115 are consequences of e_443 Step 427: Hot list of urgent steps : The list of inequalities got extended by: An expression with 18 terms Substitution of q20 found in e_443 : q20=0 Step 428: Hot list 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 12 terms Substitution of q34 found in e_172 : q34=0 Step 429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q19 found in e_197 : q19=0 Step 430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q1 found in e_274 : q1=0 Step 431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q18 found in e_379 : q18=0 Step 432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 8 terms Substitution of q16 found in e_383 : q16=0 Step 433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 7 terms Substitution of q4 found in e_326 : q4=0 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 : The list of inequalities got extended by: An expression with 14 terms Substitution of q15 by an expression in q32, q13, p7, p4, p2 found in e_223 : 8 factors in 3 terms Step 435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 16 terms e_99 is a consequence of e_377. e_265 is a consequence of e_65. e_165 is a consequence of e_65. Substitution of q24 by an expression in q26, p8, p2 found in e_36 : 10 factors in 3 terms Step 436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 16 terms Substitution of q7 by an expression in q26, q9, p8, p7, p3, p2 found in e_83 : 14 factors in 4 terms Step 437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 2 terms 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 2 terms 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 2 terms 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 2 terms Step 453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms e_70,e_434 are consequences of e_188 *** Garbage collection starting *** GC 788 2-Oct-2003 12:36:52, 50 ms (0%), 1078003 occupied, 23921949 free Substitution of q6 by an expression in q8, p8, p2 found in e_351 : 10 factors in 3 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms Step 462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms e_300 is a consequence of e_65. 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 : --- Length reducing decoupling steps : Eliminate q30 from e_253 and e_312. e_312: 0=(q13 - 2*q21 - q30)*p5 is replaced by e_374: 0=(2*q13 - 5*q21)*p5 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 : --- Length reducing decoupling steps : Eliminate q33 from e_426 and e_38. e_38: 3 terms, 6 factors, with derivatives of functions of all variables: (q35,q33,q5,p5,p1) is replaced by e_376: 0=p1*q35 - p5*q5 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 789 2-Oct-2003 12:36:57, 40 ms (0%), 1095480 occupied, 23904470 free Eliminate q26 from e_65 and e_201. e_201: 4 terms, 12 factors, with derivatives of functions of all variables: (q30,q26,q14,p8,p4,p3,p2) is replaced by e_368: 0=2*p3*q30 - p8*q14 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 : --- Length reducing decoupling steps : Eliminate q30 from e_368 and e_242. e_242: 4 terms, 8 factors, with derivatives of functions of all variables: (q30,q14,q13,p8,p3,p2) is replaced by e_382: 3 terms, 6 factors, with derivatives of functions of all variables: (q14,q13,p8,p3,p2) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_65 and e_208. e_208: 4 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q10,p8,p7,p4,p2) is replaced by e_334: 0=(q10 - q27)*p7 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 : --- Length reducing decoupling steps : Eliminate q28 from e_29 and e_367. e_367: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q25,q23,q9,q5,p3,p1) is replaced by e_306: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q23,q9,q5,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_65 and e_292. e_292: 4 terms, 12 factors, with derivatives of functions of all variables: (q29,q26,q11,p8,p7,p4,p1,p2) is replaced by e_184: 0=p1*q29 - p7*q11 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 : --- Length reducing decoupling steps : Eliminate q30 from e_368 and e_246. e_246: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q29,q14,q12,p8,p7,p3,p2) is replaced by e_99: 6 terms, 12 factors, with derivatives of functions of all variables: (q29,q14,q12,p8,p7,p3,p2) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_65 and e_226. e_226: 6 terms, 18 factors, with derivatives of functions of all variables: (q31,q27,q26,q10,p8,p7,p4,p2) is replaced by e_265: 4 terms, 8 factors, with derivatives of functions of all variables: (q31,q27,q10,p8,p7) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 790 2-Oct-2003 12:37:02, 40 ms (0%), 1084203 occupied, 23915749 free Eliminate q25 from e_442 and e_405. e_405: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q26,q25,q23,q9,q5,p8,p7 ,p7,p3,p2) is replaced by e_355: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q26,q23,q9,q5,p8,p7 ,p7,p3,p2) 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 : --- Length reducing decoupling steps : Eliminate q35 from e_72 and e_163. e_163: 6 terms, 12 factors, with derivatives of functions of all variables: (q35,q33,q9,q8,q5,p5,p1) is replaced by e_67: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q33,q28,q9,q8,q5,p5) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_65 and e_24. e_24: 6 terms, 18 factors, with derivatives of functions of all variables: (q30,q29,q26,q14,q11,p8,p7,p4,p3,p1,p2) is replaced by e_396: 4 terms, 8 factors, with derivatives of functions of all variables: (q30,q29,q14,q11,p8,p7,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q29 from e_184 and e_87. e_87: 5 terms, 10 factors, with derivatives of functions of all variables: (q29,q26,q12,q10,p7,p4,p1,p2) is replaced by e_193: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q12,q11,q10,p7,p4,p2) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 791 2-Oct-2003 12:37:07, 40 ms (0%), 1085091 occupied, 23914860 free Eliminate q26 from e_444 and e_423. e_423: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q26,q23,q5,p8,p7,p1,p2) is replaced by e_410: 5 terms, 10 factors, with derivatives of functions of all variables: (q28,q23,q8,q5,p8,p7,p2) 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 : --- Length reducing decoupling steps : Eliminate q13 from e_35 and e_109. e_109: 6 terms, 18 factors, with derivatives of functions of all variables: (q32,q22,q13,q3,q2,p7,p5,p4,p2) is replaced by e_415: 6 terms, 18 factors, with derivatives of functions of all variables: (q32,q22,q3,q2,p8,p7,p5,p4,p2) 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 : --- Length reducing decoupling steps : Eliminate q27 from e_360 and e_343. e_343: 8 terms, 16 factors, with derivatives of functions of all variables: (q31,q28,q27,q11,q10,q9,q5,p4,p3,p1) is replaced by e_416: 8 terms, 16 factors, with derivatives of functions of all variables: (q31,q28,q23,q11,q10,q9,q5,p4,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q28 from e_342 and e_404. e_404: 8 terms, 24 factors, with derivatives of functions of all variables: (q28,q26,q23,q9,q8,q5,p8,p7,p3,p1,p2) is replaced by e_411: 8 terms, 24 factors, with derivatives of functions of all variables: (q26,q25,q23,q9,q5,p8,p7,p3,p1,p2) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 792 2-Oct-2003 12:37:14, 40 ms (0%), 1087087 occupied, 23912865 free --- Factorization to subcases leading to substitutions : factorizing e_433 we get the alternative equations : 0=p7 0=q36 New level : 1.1.1.1.2.1. CRACK is now called with the new equation e_440 : 0=p7 e_51,e_334,e_120,e_25,e_260,e_298,e_280,e_233 are consequences of e_440 Step 482: Hot list of urgent steps : The list of inequalities got extended by: p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q36,q35,q33,q32,q31,q30,q29,q28,q27,q26,q25,q23,q22,q21,q14,q13, q12,q11,q10,q9,q8,q5,q3,q2,p8,p7,p5,p4,p3,p1,p2 New ordering: q36,q35,q33,q32,q31,q30,q29,q28,q27,q26,q25,q23,q22,q21,q14,q13, q12,q11,q10,q9,q8,q5,q3,q2,p7,p5,p4,p3,p1,p8,p2 The list of inequalities got extended by: An expression with 15 terms e_188 is a consequence of e_441 e_401 is a consequence of e_385.e_27 is a consequence of e_401 e_203 is a consequence of e_182. e_115 is a consequence of e_78. e_157 is a consequence of e_101.e_8,e_204,e_248,e_384,e_206,e_273 are consequences of e_157 e_65,e_377 are consequences of e_392 e_177,e_107 are consequences of e_266 e_247 is a consequence of e_266.e_417 is a consequence of e_449 e_459 is a consequence of e_266. Substitution of p7 found in e_440 : p7=0 Step 483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms Substitution of q36 found in e_101 : q36=0 Step 484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q21 found in e_311 : q21=0 Step 485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q35 found in e_78 : q35=0 Step 486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 12 terms e_70 is a consequence of e_350. Substitution of q33 found in e_385 : q33=0 Step 487: Hot list 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: g0006*q22 + g0013*q3 + g0017*p5 Substitution of q2 found in e_11 : q2=0 Step 488: Hot list 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: g0013*q3 + g0017*p5 e_434 is a consequence of e_447. Substitution of q22 found in e_182 : q22=0 Step 489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms Substitution of q8 found in e_441 : q8=0 Step 490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 10 terms e_12,e_350 are consequences of e_471 e_448 is a consequence of e_471.e_466 is a consequence of e_465 Substitution of q26 found in e_392 : q26=0 Step 491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 793 2-Oct-2003 12:37:21, 40 ms (0%), 1081026 occupied, 23918926 free The list of inequalities got extended by: An expression with 7 terms Substitution of q29 found in e_266 : q29=0 Step 492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_475 is a consequence of e_471. e_443 is a consequence of e_471. e_452 is a consequence of e_471. e_450 is a consequence of e_471. Substitution of q23 found in e_449 : q23=0 Step 493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_474 is a consequence of e_465. Substitution of q5 found in e_471 : q5=0 Step 494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_447 is a consequence of e_468. e_432 is a consequence of e_468. e_197 is a consequence of e_468. e_463 is a consequence of e_456. Substitution of q10 found in e_453 : q10=0 Step 495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_354 is a consequence of e_451. e_364 is a consequence of e_451.e_132 is a consequence of e_455 e_296,e_461,e_478,e_464 are consequences of e_465 e_472 is a consequence of e_465. e_345 is a consequence of e_465. e_476 is a consequence of e_465. Substitution of q25 found in e_454 : q25=0 Step 496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_455 is a consequence of e_465. e_351 is a consequence of e_465. e_333 is a consequence of e_465. e_481 is a consequence of e_465. Substitution of q28 found in e_451 : q28=0 Step 497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0048*q31 + g0049*q30 Substitution of q27 found in e_468 : q27=0 Step 498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_479 is a consequence of e_462. Substitution of q9 found in e_465 : q9=0 Step 499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms e_96 is a consequence of e_456. e_361 is a consequence of e_274. Substitution of q31 by an expression in q12 found in e_462 : 1 q31=---*q12 2 Step 500: Hot list 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 3 terms e_457 is a consequence of e_446. Substitution of q12 by an expression in q11 found in e_456 : q12=q11 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 : The list of inequalities got extended by: An expression with 6 terms e_382 is a consequence of e_56. Substitution of q14 by an expression in q30, p3, p8 found in e_368 : 2*p3*q30 q14=---------- p8 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 : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 6 terms e_242 is a consequence of e_56. Substitution of q11 by an expression in q30, p1, p8 found in e_446 : 2*p1*q30 q11=---------- p8 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 : The list of inequalities got extended by: An expression with 8 terms e_226 is a consequence of e_225. e_389 is a consequence of e_165. Substitution of q13 by an expression in q30, p8, p2 found in e_56 : 7 factors in 3 terms Step 504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- 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 2 terms Step 506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_274 we get the alternative equations : 0=q3 0=p1 New level : 1.1.1.1.2.1.1. CRACK is now called with the new equation e_93 : 0=q3 e_400,e_408,e_83 are consequences of e_93 Step 509: Hot list of urgent steps : The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q32,q30,q3,p5,p4,p3,p1,p8,p2 New ordering: q32,q30,q3,p4,p3,p1,p5,p8,p2 The list of inequalities got extended by: An expression with 7 terms q30 The lexicographical ordering of unknowns is changed because q30 has to be non-zero, giving q30 a low priority. Old ordering: q32,q30,q3,p4,p3,p1,p5,p8,p2 New ordering: q32,q3,q30,p4,p3,p1,p5,p8,p2 Substitution of q3 found in e_93 : q3=0 Step 510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q30=0 because of the non-vanishing expression: q30 Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: q3 New level : 1.1.1.1.2.1.2. CRACK is now called with the new equation e_93 : 0=p1 e_405,e_234 are consequences of e_93 Step 511: Hot list of urgent steps : The list of inequalities got extended by: g0047*q32 + g0049*q30 The list of inequalities got extended by: g0019*p5 + g0020*p4 + g0021*p3 The list of inequalities got extended by: An expression with 6 terms e_435 is a consequence of e_83. e_387 is a consequence of e_83. e_437 is a consequence of e_83. Substitution of p1 found in e_93 : p1=0 Step 512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0019*p5 + g0020*p4 The list of inequalities got extended by: An expression with 5 terms Substitution of p3 found in e_83 : p3=0 Step 513: Hot list 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: p2 Substitution of p2 by an expression in p8 found in e_400 : p2= - p8 leads to a contradiction in : 0=5*p2 - 3*p8 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 40 ms The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q36,q35,q33,q32,q31,q30,q29,q28,q27,q26,q25,q23,q22,q21,q14,q13, q12,q11,q10,q9,q8,q5,q3,q2,p8,p7,p5,p4,p3,p1,p2 New ordering: q36,q35,q33,q32,q31,q30,q29,q28,q27,q26,q25,q23,q22,q21,q14,q13, q12,q11,q10,q9,q8,q5,q3,q2,p8,p5,p4,p3,p1,p7,p2 New level : 1.1.1.1.2.2. CRACK is now called with the new equation e_440 : 0=q36 e_8,e_204,e_248,e_153,e_101,e_384,e_206,e_273 are consequences of e_440 Step 514: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms e_441 is a consequence of e_51. Substitution of q36 found in e_440 : q36=0 Step 515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q35 found in e_120 : q35=0 Step 516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q21 found in e_25 : q21=0 Step 517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q22 found in e_260 : q22=0 Step 518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0013*q3 + g0014*q2 + g0017*p5 The list of inequalities got extended by: An expression with 11 terms e_426 is a consequence of e_376. e_64 is a consequence of e_334. Substitution of q33 found in e_298 : q33=0 Step 519: Hot list 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: g0013*q3 + g0017*p5 Substitution of q2 found in e_280 : q2=0 Step 520: Hot list 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: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q32,q31,q30,q29,q28,q27,q26,q25,q23,q14,q13,q12,q11,q10,q9,q8,q5, q3,p8,p5,p4,p3,p1,p7,p2 New ordering: q32,q31,q30,q29,q28,q27,q26,q25,q23,q14,q13,q12,q11,q10,q9,q8,q5, q3,p8,p4,p3,p1,p5,p7,p2 e_172 is a consequence of e_446. e_361 is a consequence of e_374. Substitution of q3 found in e_233 : q3=0 Step 521: Hot list 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 14 terms Substitution of q26 found in e_377 : q26=0 Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_380 is a consequence of e_446. e_314 is a consequence of e_374.e_2 is a consequence of e_47 Substitution of q29 found in e_177 : q29=0 Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_349 is a consequence of e_376.e_12 is a consequence of e_349 e_19 is a consequence of e_376. Substitution of q23 found in e_417 : q23=0 Step 524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms e_367 is a consequence of e_334.e_97,e_188 are consequences of e_364 e_165 is a consequence of e_125. e_300 is a consequence of e_431. Substitution of q5 found in e_376 : q5=0 Step 525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_389 is a consequence of e_446. Substitution of q13 found in e_374 : q13=0 Step 526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_405 is a consequence of e_201. Substitution of q30 found in e_446 : q30=0 Step 527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_36,e_394 are consequences of e_242 Substitution of q11 found in e_201 : q11=0 Step 528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms e_354 is a consequence of e_223 e_6 is a consequence of e_379. Substitution of q8 found in e_364 : q8=0 Step 529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms Substitution of q14 found in e_242 : q14=0 Step 530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_345 is a consequence of e_125 e_383,e_312,e_96,e_379,e_296 are consequences of e_67 e_115 is a consequence of e_67. e_399 is a consequence of e_67. Substitution of q28 found in e_223 : q28=0 Step 531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0052*q27 + g0054*q25 e_352 is a consequence of e_67. Substitution of q31 found in e_398 : q31=0 Step 532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0052*q27 e_292 is a consequence of e_67. e_400 is a consequence of e_67. e_246 is a consequence of e_67. e_431 is a consequence of e_67. e_183 is a consequence of e_67. e_402 is a consequence of e_67. e_326 is a consequence of e_67. e_378 is a consequence of e_67. Substitution of q25 found in e_125 : q25=0 Step 533: Hot list 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 Substitution of q9 found in e_67 : q9=0 Step 534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q32 The lexicographical ordering of unknowns is changed because q32 has to be non-zero, giving q32 a low priority. Old ordering: q32,q27,q12,q10,p8,p4,p3,p1,p5,p7,p2 New ordering: q27,q12,q10,q32,p8,p4,p3,p1,p5,p7,p2 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: q27,q12,q10,q32,p8,p4,p3,p1,p5,p7,p2 New ordering: q27,q12,q10,q32,p4,p3,p1,p8,p5,p7,p2 e_338,e_234,e_208,e_333 are consequences of e_337 e_226 is a consequence of e_83 e_157 is a consequence of e_83. e_373 is a consequence of e_337. e_87 is a consequence of e_83. e_372 is a consequence of e_337. Substitution of q27 found in e_24 : q27=0 Step 535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 2 terms e_38 is a consequence of e_83. e_432 is a consequence of e_83. e_397 is a consequence of e_83. e_397 is a consequence of e_335. Substitution of q12 found in e_337 : q12=0 Step 536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of q10 found in e_83 : q10=0 Step 537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p2 by an expression in p7 found in e_415 : 9 p2=---*p7 8 leads to a contradiction in : 0=p2 - 3*p7 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 90 ms The list of inequalities got extended by: p6 The lexicographical ordering of unknowns is changed because p6 has to be non-zero, giving p6 a low priority. Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p6,p5, p4,p3,p2,p1 New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p5,p4, p3,p2,p1,p6 New level : 1.1.1.2. CRACK is now called with the new equation e_433 : 0=q24 e_165,e_265,e_65,e_99 are consequences of e_433 Step 538: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms e_115 is a consequence of e_283. Substitution of q24 found in e_433 : q24=0 Step 539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q34 found in e_221 : q34=0 Step 540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms Substitution of q26 found in e_283 : q26=0 Step 541: Hot list 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 *** Garbage collection starting *** GC 794 2-Oct-2003 12:37:25, 30 ms (0%), 1075656 occupied, 23924296 free Substitution of q21 found in e_69 : q21=0 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 : The list of inequalities got extended by: An expression with 12 terms e_51 is a consequence of e_296 Substitution of q36 by an expression in q20 found in e_12 : q36=q20 Step 543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms e_106 is a consequence of e_351 Substitution of q23 by an expression in q5 found in e_296 : q23=q5 Step 544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms Substitution of q27 by an expression in q10 found in e_351 : q27=q10 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q19 by an expression in q18, q16 found in e_235 : 7 factors in 3 terms Step 546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 12 terms e_393 is a consequence of e_287. Substitution of q29 by an expression in q6, p7, p6 found in e_206 : p7*q6 q29=------- p6 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 : The list of inequalities got extended by: An expression with 12 terms e_394,e_408 are consequences of e_410 Substitution of q30 by an expression in q6, p8, p6 found in e_287 : 1 ---*p8*q6 2 q30=----------- p6 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q18 by an expression in q20, q16, p5, p6 found in e_225 : 10 factors in 3 terms Step 549: Hot list 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 e_385 is a consequence of e_322. e_298 is a consequence of e_40.e_367 is a consequence of e_163 Substitution of q33 by an expression in q16 found in e_47 : q33=q16 Step 550: Hot list 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 e_182 is a consequence of e_13. e_260 is a consequence of e_205. Substitution of q22 by an expression in q4 found in e_163 : q22=q4 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 : The list of inequalities got extended by: An expression with 13 terms Substitution of q32 by an expression in q15, q6, p4, p6 found in e_360 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 22 terms Substitution of q13 by an expression in q6, p8, p2, p6 found in e_410 : 8 factors in 3 terms 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 : 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 q35 by an expression in q20, q16, p5, p6 found in e_349 : 10 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q2 by an expression in q16, q5, p5, p1, p6 found in e_333 : - p1*q16 + p5*q5 q2=------------------- p6 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 : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 26 terms Substitution of q15 by an expression in q31, q14, q7, q6, p4, p3, p6 found in e_442 : 14 factors in 5 terms Step 556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_430 is a consequence of e_322. 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 e_431 is a consequence of e_322. 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 e_432 is a consequence of e_322. 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 e_360 is a consequence of e_203. 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 e_115 is a consequence of e_203. 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 : *** Garbage collection starting *** GC 795 2-Oct-2003 12:37:28, 40 ms (0%), 1088568 occupied, 23911383 free 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 e_311 is a consequence of e_25. 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 e_119 is a consequence of e_25. 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 e_341 is a consequence of e_25. 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 e_342 is a consequence of e_203. 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 e_347 is a consequence of e_203. 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 e_106 is a consequence of e_97. 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 e_296 is a consequence of e_25. Step 582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 2 terms Step 588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 796 2-Oct-2003 12:37:30, 40 ms (0%), 1083448 occupied, 23916503 free *** Garbage collection starting *** GC 797 2-Oct-2003 12:37:32, 40 ms (0%), 1083972 occupied, 23915979 free *** Garbage collection starting *** GC 798 2-Oct-2003 12:37:34, 40 ms (0%), 1084424 occupied, 23915526 free *** Garbage collection starting *** GC 799 2-Oct-2003 12:37:36, 40 ms (0%), 1084796 occupied, 23915154 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 800 2-Oct-2003 12:37:38, 40 ms (0%), 1113273 occupied, 23886675 free *** Garbage collection starting *** GC 801 2-Oct-2003 12:37:42, 40 ms (0%), 1108020 occupied, 23891928 free Eliminate q25 from e_354 and e_188. e_188: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q9,q5,p8,p7) is replaced by e_355: 3 terms, 6 factors, with derivatives of functions of all variables: (q9,q7,q5,p8,p7) 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 : --- Length reducing decoupling steps : Eliminate q9 from e_355 and e_206. e_206: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q9,q5,p8,p7) is replaced by e_442: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q7,q5,p8,p7) Step 592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 802 2-Oct-2003 12:37:46, 40 ms (0%), 1085914 occupied, 23914036 free --- Length reducing decoupling steps : Eliminate q8 from e_125 and e_237. e_237: 4 terms, 8 factors, with derivatives of functions of all variables: (q8,q6,q5,p7,p2) is replaced by e_418: 4 terms, 8 factors, with derivatives of functions of all variables: (q6,q5,p8,p7,p2) 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 : --- Length reducing decoupling steps : Eliminate q6 from e_405 and e_406. e_406: 3 terms, 9 factors, with derivatives of functions of all variables: (q6,q3,p8,p5,p2,p6) is replaced by e_421: 3 terms, 6 factors, with derivatives of functions of all variables: (q3,q1,p8,p2) 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 : --- Length reducing decoupling steps : Eliminate q9 from e_355 and e_380. e_380: 4 terms, 8 factors, with derivatives of functions of all variables: (q9,q7,q6,q5,p7,p2) is replaced by e_225: 4 terms, 8 factors, with derivatives of functions of all variables: (q7,q6,q5,p8,p7,p2) 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 : *** Garbage collection starting *** GC 803 2-Oct-2003 12:37:49, 40 ms (0%), 1085988 occupied, 23913960 free --- Length reducing decoupling steps : Eliminate q6 from e_418 and e_225. e_225: 4 terms, 8 factors, with derivatives of functions of all variables: (q7,q6,q5,p8,p7,p2) is replaced by e_47: 4 terms, 8 factors, with derivatives of functions of all variables: (q7,q5,p8,p7,p2) 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 : --- Length reducing decoupling steps : Eliminate q7 from e_47 and e_442. e_442: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q7,q5,p8,p7) is replaced by e_163: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q5,p8,p7,p2) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 804 2-Oct-2003 12:37:53, 40 ms (0%), 1093251 occupied, 23906698 free Eliminate q12 from e_102 and e_396. e_396: 4 terms, 12 factors, with derivatives of functions of all variables: (q12,q10,q6,p7,p2,p1,p6) is replaced by e_78: 4 terms, 12 factors, with derivatives of functions of all variables: (q10,q6,p8,p7,p2,p1,p6) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 805 2-Oct-2003 12:37:56, 50 ms (0%), 1094346 occupied, 23905604 free *** Garbage collection starting *** GC 806 2-Oct-2003 12:38:01, 40 ms (0%), 1109689 occupied, 23890259 free *** Garbage collection starting *** GC 807 2-Oct-2003 12:38:05, 40 ms (0%), 1104666 occupied, 23895281 free *** Garbage collection starting *** GC 808 2-Oct-2003 12:38:09, 40 ms (0%), 1101350 occupied, 23898600 free *** Garbage collection starting *** GC 809 2-Oct-2003 12:38:14, 40 ms (0%), 1111923 occupied, 23888024 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_291 we get the alternative equations : 0=p8 0=q20 New level : 1.1.1.2.1. CRACK is now called with the new equation e_485 : 0=p8 e_405,e_384,e_66,e_322,e_13 are consequences of e_485 Step 599: Hot list of urgent steps : 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: q31,q28,q25,q20,q16,q14,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q1,p8,p7, p5,p4,p3,p2,p1,p6 New ordering: q31,q28,q25,q20,q16,q14,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q1,p8,p5, p4,p3,p2,p1,p7,p6 The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 25 terms e_115 is a consequence of e_205.e_276,e_326 are consequences of e_115 e_69 is a consequence of e_40.e_7,e_285,e_383 are consequences of e_69 e_266,e_95,e_295,e_346,e_25,e_203 are consequences of e_381 e_157 is a consequence of e_290. e_157 is a consequence of e_274. e_221 is a consequence of e_392. e_377 is a consequence of e_233. e_148 is a consequence of e_33. e_363 is a consequence of e_311. e_335 is a consequence of e_392.e_280 is a consequence of e_341 Substitution of p8 found in e_485 : p8=0 Step 600: Hot list 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 12 terms The list of inequalities got extended by: An expression with 21 terms Substitution of q16 found in e_40 : q16=0 Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q4 found in e_205 : q4=0 Step 602: Hot list 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 19 terms Substitution of q1 found in e_290 : q1=0 Step 603: Hot list 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 p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q31,q28,q25,q20,q14,q12,q11,q10,q9,q8,q7,q6,q5,q3,p5,p4,p3,p2,p1, p7,p6 New ordering: q31,q28,q25,q20,q14,q12,q11,q10,q9,q8,q7,q6,q5,q3,p4,p3,p2,p1,p5, p7,p6 The list of inequalities got extended by: An expression with 18 terms Substitution of q3 found in e_233 : q3=0 Step 604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 15 terms e_265 is a consequence of e_73. e_22 is a consequence of e_283. e_145 is a consequence of e_12. e_441 is a consequence of e_12. e_433 is a consequence of e_12. Substitution of q6 found in e_392 : q6=0 Step 605: Hot list 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 9 terms The list of inequalities got extended by: An expression with 13 terms e_371 is a consequence of e_73. e_51 is a consequence of e_354. e_106 is a consequence of e_381.e_435 is a consequence of e_183 e_119 is a consequence of e_390. e_287 is a consequence of e_12. Substitution of q5 found in e_283 : q5=0 Step 606: Hot list 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 10 terms e_29 is a consequence of e_296 e_376 is a consequence of e_311.e_375 is a consequence of e_314 Substitution of q20 found in e_381 : q20=0 Step 607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_379 is a consequence of e_373 e_387 is a consequence of e_73. e_11 is a consequence of e_311. Substitution of q28 found in e_390 : q28=0 Step 608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_391 is a consequence of e_373. e_368 is a consequence of e_73. e_64 is a consequence of e_183. e_60 is a consequence of e_73. e_354 is a consequence of e_183. Substitution of q25 found in e_311 : q25=0 Step 609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_93 is a consequence of e_183. e_6 is a consequence of e_373. e_325 is a consequence of e_183. e_232 is a consequence of e_373. Substitution of q8 found in e_73 : q8=0 Step 610: Hot list 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 7 terms e_333 is a consequence of e_337. e_347 is a consequence of e_410. Substitution of q14 found in e_341 : q14=0 Step 611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_314 is a consequence of e_410. e_364 is a consequence of e_12. Substitution of q11 found in e_33 : q11=0 Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_109 is a consequence of e_337. e_349 is a consequence of e_296. e_342 is a consequence of e_296. Substitution of q12 found in e_410 : q12=0 Step 613: Hot list 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 3 terms e_438 is a consequence of e_373. e_345 is a consequence of e_337. e_12 is a consequence of e_337. e_273 is a consequence of e_373. e_344 is a consequence of e_393. Substitution of q7 found in e_183 : q7=0 Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*p3 - 12*g0048*p6 q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q31,q10,q9,p4,p3,p2,p1,p5,p7,p6 New ordering: q10,q9,q31,p4,p3,p2,p1,p5,p7,p6 The list of inequalities got extended by: q10 The lexicographical ordering of unknowns is changed because q10 has to be non-zero, giving q10 a low priority. Old ordering: q10,q9,q31,p4,p3,p2,p1,p5,p7,p6 New ordering: q9,q10,q31,p4,p3,p2,p1,p5,p7,p6 The list of inequalities got extended by: An expression with 2 terms Substitution of q10 found in e_296 : q10=0 leads to a contradiction in : 0=q10 + q31 Time: 0 ms Time: 0 ms Time: 30 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: q31,q28,q25,q20,q16,q14,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q1,p8,p7, p5,p4,p3,p2,p1,p6 New ordering: q31,q28,q25,q20,q16,q14,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q1,p7,p5, p4,p3,p2,p1,p8,p6 New level : 1.1.1.2.2. CRACK is now called with the new equation e_485 : 0=q20 e_266,e_95,e_295,e_346,e_70,e_25,e_203 are consequences of e_485 Step 615: Hot list of urgent steps : 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 23 terms Substitution of q20 found in e_485 : q20=0 Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q16 found in e_322 : q16=0 Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 18 terms e_335 is a consequence of e_66.e_283 is a consequence of e_335 Substitution of q4 found in e_13 : q4=0 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 : The list of inequalities got extended by: An expression with 12 terms Substitution of q28 by an expression in q25, q9, q5 found in e_69 : 8 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 15 terms Substitution of q25 by an expression in q8, q6, q5 found in e_381 : 10 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 13 terms Substitution of q8 by an expression in q7, q6, q5 found in e_435 : 9 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 13 terms *** Garbage collection starting *** GC 810 2-Oct-2003 12:38:17, 30 ms (0%), 1035943 occupied, 23964009 free Substitution of q9 by an expression in q7, q6, q5 found in e_390 : 9 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 22 terms e_192 is a consequence of e_392. e_135 is a consequence of e_404. Substitution of q1 by an expression in q6, p5, p6 found in e_405 : p5*q6 q1=------- p6 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 22 terms e_411,e_33 are consequences of e_159 Substitution of q14 by an expression in q6, p3, p6 found in e_384 : p3*q6 q14=------- p6 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 : The list of inequalities got extended by: An expression with 22 terms Substitution of q11 by an expression in q6, p1, p6 found in e_159 : p1*q6 q11=------- p6 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 : The list of inequalities got extended by: An expression with 5 terms p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q31,q12,q10,q7,q6,q5,q3,p7,p5,p4,p3,p2,p1,p8,p6 New ordering: q31,q12,q10,q7,q6,q5,q3,p7,p4,p3,p2,p1,p5,p8,p6 The list of inequalities got extended by: An expression with 23 terms e_470 is a consequence of e_392. e_421 is a consequence of e_404. Substitution of q3 by an expression in q6, p2, p5, p8, p6 found in e_235 : 13 factors in 3 terms Step 626: Hot list 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 4 terms The list of inequalities got extended by: An expression with 19 terms e_404,e_392,e_432 are consequences of e_99 e_21 is a consequence of e_345 e_93 is a consequence of e_60. e_394 is a consequence of e_345. e_474 is a consequence of e_345. e_475 is a consequence of e_99. Substitution of q5 found in e_66 : q5=0 Step 627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 7 terms e_417 is a consequence of e_345. e_60 is a consequence of e_345. e_364 is a consequence of e_345. e_419 is a consequence of e_345. e_367 is a consequence of e_345. e_237 is a consequence of e_345. e_298 is a consequence of e_345. e_387 is a consequence of e_345. e_408 is a consequence of e_345. e_473 is a consequence of e_345. e_420 is a consequence of e_345. e_375 is a consequence of e_345. e_476 is a consequence of e_323.e_484 is a consequence of e_477 e_422 is a consequence of e_345. e_225 is a consequence of e_345. e_406 is a consequence of e_345.e_203 is a consequence of e_25 e_70 is a consequence of e_325. e_95 is a consequence of e_477. e_266 is a consequence of e_477.e_291,e_346,e_295 are consequences of e_480 e_487 is a consequence of e_480. e_488 is a consequence of e_480. Substitution of q6 found in e_99 : q6=0 Step 628: Hot list 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 3 terms e_480 is a consequence of e_25. e_438 is a consequence of e_325. Substitution of q7 found in e_345 : q7=0 Step 629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*p3 - 12*g0048*p6 q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q31,q12,q10,p7,p4,p3,p2,p1,p5,p8,p6 New ordering: q12,q10,q31,p7,p4,p3,p2,p1,p5,p8,p6 The list of inequalities got extended by: q10 The list of inequalities got extended by: q12 The list of inequalities got extended by: An expression with 2 terms Substitution of q10 found in e_325 : q10=0 leads to a contradiction in : 0=q10 + 2*q31 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 70 ms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p9,p8,p7,p6, p5,p4,p3,p2,p1 New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21, q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p8,p7,p6,p5, p4,p3,p2,p1,p9 New level : 1.1.2. CRACK is now called with the new equation e_384 : 0=q24 e_165,e_265,e_65,e_99,e_183 are consequences of e_384 Step 630: Hot list of urgent steps : The list of inequalities got extended by: An expression with 15 terms Substitution of q24 found in e_384 : q24=0 Step 631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_202 is a consequence of e_78. e_184 is a consequence of e_78. Substitution of q20 found in e_47 : q20=0 Step 632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms Substitution of q36 found in e_78 : q36=0 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 : The list of inequalities got extended by: An expression with 18 terms Substitution of q8 by an expression in q6 found in e_306 : q8=4*q6 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 : The list of inequalities got extended by: An expression with 18 terms Substitution of q15 by an expression in q21, p4, p9 found in e_15 : p4*q21 q15=-------- p9 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 : The list of inequalities got extended by: An expression with 14 terms e_325 is a consequence of e_304. e_326 is a consequence of e_278. e_216 is a consequence of e_219. e_59 is a consequence of e_75. Substitution of q29 by an expression in q21, p7, p9 found in e_71 : p7*q21 q29=-------- p9 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 : The list of inequalities got extended by: An expression with 14 terms e_332 is a consequence of e_221. e_72 is a consequence of e_141. Substitution of q26 by an expression in q34, p2, p9 found in e_138 : - 3*p2*q34 q26=------------- p9 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 : The list of inequalities got extended by: An expression with 18 terms e_353 is a consequence of e_219. Substitution of q6 by an expression in q21, p6, p9 found in e_304 : p6*q21 q6=-------- p9 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 : The list of inequalities got extended by: An expression with 14 terms e_370 is a consequence of e_211. e_56 is a consequence of e_75. e_155 is a consequence of e_75. e_16 is a consequence of e_75. e_227 is a consequence of e_14. Substitution of q30 by an expression in q21, p8, p9 found in e_219 : 1 ---*p8*q21 2 q30=------------ p9 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 : The list of inequalities got extended by: An expression with 18 terms e_329 is a consequence of e_211. e_81 is a consequence of e_75. *** Garbage collection starting *** GC 811 2-Oct-2003 12:38:20, 40 ms (0%), 1090499 occupied, 23909453 free Substitution of q11 by an expression in q21, p1, p9 found in e_278 : p1*q21 q11=-------- p9 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 : The list of inequalities got extended by: An expression with 18 terms e_242 is a consequence of e_75. Substitution of q14 by an expression in q21, p3, p9 found in e_211 : p3*q21 q14=-------- p9 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 : The list of inequalities got extended by: An expression with 14 terms Substitution of q23 by an expression in q35, p7, p9 found in e_293 : p7*q35 q23=-------- p9 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 : The list of inequalities got extended by: An expression with 19 terms Substitution of q13 by an expression in q21, p8, p2, p9 found in e_75 : 8 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 15 terms Substitution of q27 by an expression in q22, q10, p7, p9 found in e_254 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 20 terms e_260 is a consequence of e_51. Substitution of q5 by an expression in q18, q16, p7, p9 found in e_92 : - p7*q16 + p7*q18 q5=-------------------- p9 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 : The list of inequalities got extended by: An expression with 21 terms Substitution of q9 by an expression in q21, q19, p6, p2, p9 found in e_355 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 17 terms Substitution of q25 by an expression in q35, q18, p8, p7, p9 found in e_5 : 14 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 19 terms Substitution of q28 by an expression in q35, p8, p7, p9 found in e_189 : 14 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 23 terms Substitution of q7 by an expression in q34, q21, q18, p6, p5, p2, p9 found in e_357 : 9 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 25 terms Substitution of q10 by an expression in q22, q4, q2, p7, p9 found in e_68 : 14 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 28 terms Substitution of q12 by an expression in q22, q2, p8, p7, p9 found in e_294 : 12 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q33 by an expression in q35, q18, p8, p7, p9 found in e_105 : 18 factors in 5 terms 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 : *** Garbage collection starting *** GC 812 2-Oct-2003 12:38:23, 40 ms (0%), 1128713 occupied, 23871239 free 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 0 terms Step 661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q18 from e_196 and e_235. e_235: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q19,q18,q16,p6) is replaced by e_435: 0=(3*q16 + 2*q19)*p6 Step 675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q35 from e_4 and e_51. e_4: 0=(q16 + q18 - 5*q35)*p7 is replaced by e_437: 0=(3*q16 - 2*q18)*p7 Step 676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q18 from e_437 and e_51. e_51: 0=(q16 - q18 + q35)*p7 is replaced by e_332: 0=(q16 - 2*q35)*p7 Step 680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 813 2-Oct-2003 12:38:26, 50 ms (0%), 1188528 occupied, 23811422 free Eliminate q19 from e_10 and e_354. e_354: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q21,q19,p8,p6,p2 ,p2) is replaced by e_304: 0=p2*p6*q21 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 814 2-Oct-2003 12:38:30, 50 ms (0%), 1207454 occupied, 23792495 free Eliminate q21 from e_304 and e_421. e_421: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q21,q19,p8,p7,p6,p2 ,p2) is replaced by e_81: (#) 3 terms, 5 factors, with derivatives of functions of all variables: 2 (q19,p8,p7,p2 ,p2) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 815 2-Oct-2003 12:38:33, 50 ms (0%), 1139477 occupied, 23860475 free *** Garbage collection starting *** GC 816 2-Oct-2003 12:38:36, 50 ms (0%), 1194591 occupied, 23805358 free Eliminate q35 from e_240 and e_52. e_52: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q35,q34,q18,p8 ,p8,p7,p5,p9 ,p9) is replaced by e_369: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q34,q18,p8 ,p8,p7,p5,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 817 2-Oct-2003 12:38:39, 40 ms (0%), 1134122 occupied, 23865830 free Eliminate q18 from e_437 and e_209. e_209: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q18,p8,p7,p9) is replaced by e_370: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q16,p8,p7,p9) Step 691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 818 2-Oct-2003 12:38:43, 40 ms (0%), 1129808 occupied, 23870144 free *** Garbage collection starting *** GC 819 2-Oct-2003 12:38:46, 50 ms (0%), 1160726 occupied, 23839218 free *** Garbage collection starting *** GC 820 2-Oct-2003 12:38:49, 40 ms (0%), 1200534 occupied, 23799412 free Eliminate q18 from e_437 and e_312. e_312: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q21,q18,q16,p7,p6,p5,p2) is replaced by e_399: 4 terms, 8 factors, with derivatives of functions of all variables: (q34,q21,q16,p7,p6,p5,p2) Step 692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_203 and e_223. e_223: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q35,q22,q18,q4,q2,p7,p6,p1) is replaced by e_372: 0=(q18 - 3*q35)*p7*p1 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 821 2-Oct-2003 12:38:53, 50 ms (0%), 1186838 occupied, 23813112 free *** Garbage collection starting *** GC 822 2-Oct-2003 12:38:56, 40 ms (0%), 1154126 occupied, 23845825 free *** Garbage collection starting *** GC 823 2-Oct-2003 12:38:59, 40 ms (0%), 1155744 occupied, 23844205 free *** Garbage collection starting *** GC 824 2-Oct-2003 12:39:03, 50 ms (0%), 1164116 occupied, 23835833 free *** Garbage collection starting *** GC 825 2-Oct-2003 12:39:06, 50 ms (0%), 1176260 occupied, 23823692 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_221 we get the alternative equations : 0=p6 0=q34 New level : 1.1.2.1. CRACK is now called with the new equation e_501 : 0=p6 e_408,e_247,e_375,e_376,e_398,e_327,e_197,e_196,e_13,e_435,e_304 are consequences of e_501 Step 694: Hot list of urgent steps : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 4 terms Substitution of p6 found in e_501 : p6=0 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 : --- Length reducing decoupling steps : Eliminate q34 from e_373 and e_342. e_342: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q34,q16,p7,p5,p2,p9 ,p9) is replaced by e_438: (#) 6 terms, with derivatives of functions of all variables: 2 2 (q16,p7,p2 ,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 826 2-Oct-2003 12:39:10, 50 ms (0%), 1192171 occupied, 23807779 free Eliminate q18 from e_437 and e_107. e_107: (#) 6 terms, 13 factors, with derivatives of functions of all variables: 2 (q34,q19,q18,q16,p7 ,p7,p5,p2) is replaced by e_440: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q34,q19,q16,p7 ,p7,p5,p2) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_6 and e_440. e_440: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q34,q19,q16,p7 ,p7,p5,p2) is replaced by e_444: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q34,q16,p7 ,p7,p5,p2) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_373 and e_444. e_444: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q34,q16,p7 ,p7,p5,p2) is replaced by e_447: 0=q16*p7*(9*p2 + 4*p7) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 827 2-Oct-2003 12:39:13, 50 ms (0%), 1189376 occupied, 23810573 free *** Garbage collection starting *** GC 828 2-Oct-2003 12:39:17, 50 ms (0%), 1146343 occupied, 23853608 free Eliminate q22 from e_203 and e_331. e_331: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q35,q22,q18,q4,q2,p7,p4,p1) is replaced by e_449: 0=(q18 - 3*q35)*p7*p4 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 829 2-Oct-2003 12:39:21, 50 ms (0%), 1180295 occupied, 23819657 free *** Garbage collection starting *** GC 830 2-Oct-2003 12:39:25, 50 ms (0%), 1157984 occupied, 23841966 free Eliminate q35 from e_333 and e_415. e_415: 11 terms, 33 factors, with derivatives of functions of all variables: 2 2 2 (q35,q34,q18,p8 ,p8,p7 ,p7,p5,p2,p9 ,p9) is replaced by e_452: 7 terms, 28 factors, with derivatives of functions of all variables: 2 3 2 (q34,q18,p8 ,p8,p7,p5,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 831 2-Oct-2003 12:39:29, 50 ms (0%), 1182430 occupied, 23817521 free Eliminate q22 from e_203 and e_18. e_18: 5 terms, 15 factors, with derivatives of functions of all variables: (q32,q22,q21,q4,q2,p7,p4,p1,p9) is replaced by e_453: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q32,q21,p4,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 832 2-Oct-2003 12:39:33, 50 ms (0%), 1140702 occupied, 23859249 free Eliminate q22 from e_203 and e_335. e_335: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q34,q22,q4,q2,p8,p7 ,p7,p4,p2,p9) is replaced by e_456: 5 terms, 15 factors, with derivatives of functions of all variables: (q34,q4,q2,p8,p7,p4,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_67 and e_456. e_456: 5 terms, 15 factors, with derivatives of functions of all variables: (q34,q4,q2,p8,p7,p4,p2,p9) is replaced by e_457: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q4,q2,p8,p7,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 833 2-Oct-2003 12:39:37, 50 ms (0%), 1160549 occupied, 23839402 free Eliminate q34 from e_67 and e_330. e_330: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q34,q31,q22,q2,p8 ,p8,p7 ,p7,p4,p2,p9) is replaced by e_460: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q31,q22,q2,p8 ,p8,p7 ,p7,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_360 and e_414. e_414: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q35,q34,q19,q18,p8,p7 ,p7,p5,p2,p9 ,p9) is replaced by e_461: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q35,q19,q18,p8,p7 ,p7,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 834 2-Oct-2003 12:39:41, 50 ms (0%), 1142742 occupied, 23857210 free *** Garbage collection starting *** GC 835 2-Oct-2003 12:39:45, 50 ms (0%), 1140050 occupied, 23859902 free Eliminate q22 from e_203 and e_288. e_288: 7 terms, 14 factors, with derivatives of functions of all variables: (q22,q21,q4,q3,q2,q1,p7,p2,p1,p9) is replaced by e_462: 7 terms, 14 factors, with derivatives of functions of all variables: (q21,q4,q3,q2,q1,p7,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 836 2-Oct-2003 12:39:49, 50 ms (0%), 1141745 occupied, 23858207 free Eliminate q22 from e_104 and e_139. e_139: 9 terms, 18 factors, with derivatives of functions of all variables: (q22,q21,q4,q3,q2,p8,p7,p2,p1,p9) is replaced by e_463: 7 terms, 14 factors, with derivatives of functions of all variables: (q4,q3,q2,p8,p7,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 837 2-Oct-2003 12:39:54, 50 ms (0%), 1145118 occupied, 23854834 free *** Garbage collection starting *** GC 838 2-Oct-2003 12:39:58, 40 ms (0%), 1158189 occupied, 23841762 free Eliminate q4 from e_276 and e_261. e_261: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 (q22,q21,q4,q2,p8 ,p8,p7 ,p7,p3,p2,p1,p9) is replaced by e_464: 13 terms, 39 factors, with derivatives of functions of all variables: 2 2 (q22,q21,q2,p8 ,p8,p7 ,p7,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 839 2-Oct-2003 12:40:03, 50 ms (0%), 1161993 occupied, 23837959 free Eliminate q22 from e_203 and e_87. e_87: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q34,q22,q21,q4,q2,p8,p7 ,p7,p4,p2,p1,p9) is replaced by e_465: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q34,q21,q4,q2,p8,p7 ,p7,p4,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 840 2-Oct-2003 12:40:08, 50 ms (0%), 1168988 occupied, 23830963 free Eliminate q34 from e_67 and e_465. e_465: 10 terms, 30 factors, with derivatives of functions of all variables: 2 (q34,q21,q4,q2,p8,p7 ,p7,p4,p2,p1,p9) is replaced by e_466: (#) 9 terms, 19 factors, with derivatives of functions of all variables: 2 (q21,q4,q2,p8,p7 ,p7,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 841 2-Oct-2003 12:40:13, 50 ms (0%), 1172484 occupied, 23827462 free Eliminate q35 from e_328 and e_433. e_433: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q35,q34,q18,p8 ,p8,p7 ,p7,p5,p2,p9) is replaced by e_467: (#) 7 terms, 15 factors, with derivatives of functions of all variables: 2 (q34,q19,q18,p8 ,p8,p7,p5,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 842 2-Oct-2003 12:40:18, 50 ms (0%), 1163588 occupied, 23836362 free Eliminate q34 from e_360 and e_371. e_371: 12 terms, 36 factors, with derivatives of functions of all variables: 2 2 2 (q35,q34,q18,p8 ,p8,p7 ,p7,p5,p2,p9 ,p9) is replaced by e_468: 12 terms, 36 factors, with derivatives of functions of all variables: 2 2 2 (q35,q19,q18,p8 ,p8,p7 ,p7,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 843 2-Oct-2003 12:40:23, 50 ms (0%), 1144376 occupied, 23855575 free Eliminate q31 from e_41 and e_17. e_17: 10 terms, 30 factors, with derivatives of functions of all variables: (q32,q31,q22,q21,q4,q2,p8,p7,p4,p3,p1,p9) is replaced by e_469: 9 terms, 27 factors, with derivatives of functions of all variables: (q32,q22,q21,q4,q2,p8,p7,p4,p3,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 844 2-Oct-2003 12:40:29, 50 ms (0%), 1151552 occupied, 23848399 free *** Garbage collection starting *** GC 845 2-Oct-2003 12:40:35, 50 ms (0%), 1151442 occupied, 23848508 free Eliminate q34 from e_360 and e_354. e_354: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q35,q34,q18,p8,p7,p5 ,p5,p3,p2,p1,p9) is replaced by e_470: 11 terms, 33 factors, with derivatives of functions of all variables: (q35,q19,q18,p8,p7,p5,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 846 2-Oct-2003 12:40:41, 50 ms (0%), 1150355 occupied, 23849595 free Eliminate q22 from e_104 and e_224. e_224: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q22,q21,q3,q2,q1,p8,p7,p5,p3,p9 ,p9) is replaced by e_471: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q21,q3,q2,q1,p8,p7,p5,p3,p1,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q31 from e_41 and e_90. e_90: 14 terms, 42 factors, with derivatives of functions of all variables: (q31,q22,q21,q18,q16,q4,q3,q2,p7,p5,p4,p3,p1,p9) is replaced by e_472: 12 terms, 36 factors, with derivatives of functions of all variables: (q22,q21,q18,q16,q4,q3,q2,p7,p5,p4,p3,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 847 2-Oct-2003 12:40:47, 50 ms (0%), 1160483 occupied, 23839466 free Eliminate q31 from e_41 and e_95. e_95: 15 terms, 45 factors, with derivatives of functions of all variables: (q31,q22,q19,q16,q4,q2,q1,p8,p7,p5,p4,p3,p1,p9) is replaced by e_473: 11 terms, 33 factors, with derivatives of functions of all variables: (q22,q19,q16,q4,q2,q1,p8,p7,p5,p4,p3,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 848 2-Oct-2003 12:40:53, 50 ms (0%), 1160615 occupied, 23839334 free Eliminate q34 from e_360 and e_52. e_52: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q35,q34,q18,q16,p8,p7,p5 ,p5,p3,p2,p1,p9) is replaced by e_474: 13 terms, 39 factors, with derivatives of functions of all variables: (q35,q19,q18,q16,p8,p7,p5,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 849 2-Oct-2003 12:41:00, 50 ms (0%), 1158395 occupied, 23841552 free Eliminate q18 from e_437 and e_421. e_421: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q35,q31,q22,q21,q19,q18,q16,q4,q2,p8,p7,p4,p3,p2,p1 ,p1,p9) is replaced by e_475: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q35,q31,q22,q21,q19,q16,q4,q2,p8,p7,p4,p3,p2,p1 ,p1,p9) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_203 and e_475. e_475: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q35,q31,q22,q21,q19,q16,q4,q2,p8,p7,p4,p3,p2,p1 ,p1,p9) is replaced by e_476: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q35,q31,q21,q19,q16,q4,q2,p8,p7,p4,p3,p2,p1 ,p1,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_67 and e_209. e_209: 17 terms, 51 factors, with derivatives of functions of all variables: (q35,q34,q31,q22,q18,q16,q4,q2,p8,p7,p5,p4,p3,p2,p1,p9) is replaced by e_477: 17 terms, 51 factors, with derivatives of functions of all variables: (q35,q31,q22,q18,q16,q4,q2,p8,p7,p5,p4,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : Eliminate q31 from e_41 and e_477. e_477: 17 terms, 51 factors, with derivatives of functions of all variables: (q35,q31,q22,q18,q16,q4,q2,p8,p7,p5,p4,p3,p2,p1,p9) is replaced by e_478: 15 terms, 45 factors, with derivatives of functions of all variables: (q35,q22,q18,q16,q4,q2,p8,p7,p5,p4,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 850 2-Oct-2003 12:41:08, 40 ms (0%), 1155856 occupied, 23844094 free Eliminate q34 from e_67 and e_355. e_355: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q34,q31,q21,q18,p5,p4,p3 ,p3,p2,p9) is replaced by e_479: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q31,q21,q18,q2,p7,p5,p4,p3 ,p3,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_67 and e_409. e_409: 21 terms, 63 factors, with derivatives of functions of all variables: 2 (q34,q31,q22,q21,q19,q18,q16,q4,q2,p8,p7,p5,p4,p3 ,p3,p2,p1,p9) is replaced by e_480: 21 terms, 63 factors, with derivatives of functions of all variables: 2 (q31,q22,q21,q19,q18,q16,q4,q2,p8,p7,p5,p4,p3 ,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : Eliminate q31 from e_41 and e_480. e_480: 21 terms, 63 factors, with derivatives of functions of all variables: 2 (q31,q22,q21,q19,q18,q16,q4,q2,p8,p7,p5,p4,p3 ,p3,p2,p1,p9) is replaced by e_481: 19 terms, 57 factors, with derivatives of functions of all variables: 2 (q22,q21,q19,q18,q16,q4,q2,p8,p7,p5,p4,p3 ,p3,p2,p1,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 851 2-Oct-2003 12:41:16, 50 ms (0%), 1150373 occupied, 23849578 free *** Garbage collection starting *** GC 852 2-Oct-2003 12:41:25, 50 ms (0%), 1156019 occupied, 23843931 free *** Garbage collection starting *** GC 853 2-Oct-2003 12:41:37, 50 ms (0%), 1150314 occupied, 23849635 free --- Factorization to subcases leading to substitutions : factorizing e_175 we get the alternative equations : 0=p1 0=q34 New level : 1.1.2.1.1. CRACK is now called with the new equation e_504 : 0=p1 e_453,e_372 are consequences of e_504 Step 729: Hot list of urgent steps : The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: g0019*p5 + g0020*p4 + g0021*p3 Substitution of p1 found in e_504 : p1=0 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 : --- Length reducing decoupling steps : Eliminate q35 from e_420 and e_87. e_87: 0=(q18 - 3*q35)*p7*p5 is replaced by e_17: 0=p5*p7*q18 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 : --- Length reducing decoupling steps : Eliminate q18 from e_17 and e_353. e_353: 0=(q16 - q18)*p7*p5 is replaced by e_224: 0=p5*p7*q16 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 : --- Length reducing decoupling steps : Eliminate q18 from e_437 and e_423. e_423: 0=(q16 - q18)*p7*p3 is replaced by e_95: 0=p3*p7*q16 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 854 2-Oct-2003 12:41:48, 50 ms (0%), 1164467 occupied, 23835484 free Eliminate q16 from e_95 and e_5. e_5: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q19,q18,q16,p7,p3,p2) is replaced by e_421: 0=p3*(p2*q19 - 4*p7*q18) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_312 and e_421. e_421: 0=p3*(p2*q19 - 4*p7*q18) is replaced by e_477: 0=p3*p7*q18 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 : --- Length reducing decoupling steps : Eliminate q18 from e_477 and e_68. e_68: 0=(2*q18 - 3*q35)*p7*p3 is replaced by e_409: 0=p3*p7*q35 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 855 2-Oct-2003 12:41:54, 50 ms (0%), 1151101 occupied, 23848849 free *** Garbage collection starting *** GC 856 2-Oct-2003 12:42:00, 50 ms (0%), 1169835 occupied, 23830112 free Eliminate q22 from e_56 and e_406. e_406: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q22,q21,q2,p8 ,p8,p7 ,p7,p3,p9) is replaced by e_484: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q21,q3,q2,p8 ,p8,p7 ,p7,p3,p9) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_56 and e_460. e_460: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q31,q22,q2,p8 ,p8,p7 ,p7,p2,p9) is replaced by e_485: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q31,q3,q2,p8 ,p8,p7 ,p7,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 857 2-Oct-2003 12:42:06, 50 ms (0%), 1150831 occupied, 23849120 free Eliminate q22 from e_203 and e_368. e_368: 8 terms, 24 factors, with derivatives of functions of all variables: (q35,q22,q18,q16,q4,q2,p8,p7,p5,p4,p9) is replaced by e_486: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q35,q18,q16,p8,p7,p4,p9) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_56 and e_274. e_274: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q22,q21,q2,p8,p7 ,p7,p3,p2,p9) is replaced by e_490: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q21,q3,q2,p8,p7 ,p7,p3,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q21 from e_484 and e_490. e_484: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q21,q3,q2,p8 ,p8,p7 ,p7,p3,p9) is replaced by e_491: (#) 8 terms, 10 factors, with derivatives of functions of all variables: 2 (q3,q2,p8 ,p8,p7,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 858 2-Oct-2003 12:42:14, 50 ms (0%), 1164786 occupied, 23835165 free Eliminate q2 from e_281 and e_491. e_491: (#) 8 terms, 10 factors, with derivatives of functions of all variables: 2 (q3,q2,p8 ,p8,p7,p2,p9) is replaced by e_494: 0=q3*p7*(p2 - p8) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_203 and e_442. e_442: 10 terms, 30 factors, with derivatives of functions of all variables: (q35,q22,q18,q16,q4,q2,p8,p7,p5,p4,p3,p2,p9) is replaced by e_496: 7 terms, 21 factors, with derivatives of functions of all variables: (q35,q18,q16,q2,p8,p7,p5,p4,p2,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 859 2-Oct-2003 12:42:23, 40 ms (0%), 1156083 occupied, 23843867 free *** Garbage collection starting *** GC 860 2-Oct-2003 12:42:37, 40 ms (0%), 1153795 occupied, 23846155 free --- Factorization to subcases leading to substitutions : factorizing e_1 we get the alternative equations : 0=p3 0=q34 New level : 1.1.2.1.1.1. CRACK is now called with the new equation e_518 : 0=p3 e_439,e_357,e_312,e_95,e_477,e_409 are consequences of e_518 Step 753: Hot list of urgent steps : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: g0019*p5 + g0020*p4 Substitution of p3 found in e_518 : p3=0 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 : --- Length reducing decoupling steps : Eliminate q35 from e_445 and e_455. e_455: (#) 6 terms, 13 factors, with derivatives of functions of all variables: (q35,q19,q18,q16,p8,p5,p2,p9) is replaced by e_460: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q19,q18,p8,p5,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_460 and e_450. e_450: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q35,q19,q18,p8,p5,p2,p9) is replaced by e_488: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q35,q18,p8,p5,p9) 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 : --- Length reducing decoupling steps : Eliminate q35 from e_488 and e_445. e_445: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q35,q18,q16,p8,p5,p9) is replaced by e_484: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q18,q16,p8,p5,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 861 2-Oct-2003 12:42:43, 50 ms (0%), 1157599 occupied, 23842351 free --- Factorization to subcases leading to substitutions : factorizing e_17 we get the alternative equations : 0=p7 0=p5 0=q18 New level : 1.1.2.1.1.1.1. CRACK is now called with the new equation e_375 : 0=p7 e_422,e_157,e_324,e_266,e_109,e_457,e_321,e_273,e_203,e_105,e_21,e_447,e_449, e_494,e_6,e_437,e_332,e_420,e_224,e_14 are consequences of e_375 Step 758: Hot list of urgent steps : *** Garbage collection starting *** GC 862 2-Oct-2003 12:42:54, 50 ms (0%), 1151657 occupied, 23848293 free 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: g0060*p9 + g0061*p8 The list of inequalities got extended by: An expression with 16 terms e_508 is a consequence of e_307. e_517 is a consequence of e_516. Substitution of p7 found in e_375 : p7=0 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 : The list of inequalities got extended by: An expression with 16 terms Substitution of q31 by an expression in q22, q2 found in e_439 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 16 terms e_512 is a consequence of e_511. e_433 is a consequence of e_276. Substitution of q2 by an expression in q4, p2, p9 found in e_357 : p2*q4 q2=------- p9 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 : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 27 terms Substitution of q35 by an expression in q19, q18, p8, p2, p9 found in e_532 : 16 factors in 5 terms 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 0 terms Step 767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 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 37 terms Substitution of q19 by an expression in q34, q18, p5, p2, p9 found in e_87 : 7 factors in 3 terms Step 769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_450 is a consequence of e_372. Step 770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 4 terms Step 775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 2 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 863 2-Oct-2003 12:42:57, 50 ms (0%), 1165732 occupied, 23834218 free Eliminate q18 from e_46 and e_442. e_442: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q34,q18,p8,p5,p2 ,p2) is replaced by e_109: 0=p5*p8*q34 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 e_422 is a consequence of e_46. Step 799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms e_544 is a consequence of e_271. 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 2 terms 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 : --- Length reducing decoupling steps : Eliminate q18 from e_271 and e_354. e_354: (#) 4 terms, 6 factors, with derivatives of functions of all variables: (q34,q18,p8,p5,p2,p9) is replaced by e_518: 0=q34*(p8 - p9)*p5 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 : --- Length reducing decoupling steps : Eliminate q34 from e_109 and e_523. e_523: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q34,q18,p8 ,p8,p5,p2,p9) is replaced by e_439: 0=q18*p8*(4*p2 + p8 - p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 864 2-Oct-2003 12:43:01, 50 ms (0%), 1166462 occupied, 23833487 free Eliminate q34 from e_505 and e_327. e_327: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q34,q18,q16,p5,p2 ,p2,p9 ,p9) is replaced by e_507: 3 terms, 9 factors, with derivatives of functions of all variables: 2 2 (q18,q16,p2 ,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_508. e_508: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q34,q18,p8,p5,p2 ,p2,p9) is replaced by e_513: (#) 3 terms, 5 factors, with derivatives of functions of all variables: 2 (q18,p8,p2 ,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_398. e_398: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q34,q18,p8,p5,p2 ,p2,p9 ,p9) is replaced by e_512: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 2 (q18,p8,p2 ,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_224. e_224: (#) 5 terms, 16 factors, with derivatives of functions of all variables: 2 2 2 (q34,q18,p8,p5 ,p5,p2 ,p2,p9 ,p9) is replaced by e_357: (#) 4 terms, 10 factors, with derivatives of functions of all variables: 2 2 (q18,p8,p5,p2 ,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_376. e_376: (#) 5 terms, 16 factors, with derivatives of functions of all variables: 2 2 2 (q34,q18,p8,p5 ,p5,p2 ,p2,p9 ,p9) is replaced by e_87: 0=q18*p5*(2*p2 + p8 + p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 865 2-Oct-2003 12:43:05, 50 ms (0%), 1171740 occupied, 23828210 free Eliminate q34 from e_13 and e_546. e_546: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 3 2 (q34,q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_5: (#) 6 terms, 19 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_549. e_549: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 3 2 (q34,q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_475: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_548. e_548: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 3 2 (q34,q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_209: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_547. e_547: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 3 2 (q34,q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_421: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_543. e_543: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 3 2 (q34,q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_355: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_13 and e_550. e_550: (#) 8 terms, 33 factors, with derivatives of functions of all variables: 2 2 2 3 2 (q34,q18,p8 ,p8,p5 ,p5,p2 ,p2,p9 ,p9 ,p9) is replaced by e_68: (#) 6 terms, 20 factors, with derivatives of functions of all variables: 2 2 3 2 (q18,p8 ,p8,p5,p2 ,p2,p9 ,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 866 2-Oct-2003 12:43:10, 50 ms (0%), 1163774 occupied, 23836176 free Eliminate q4 from e_514 and e_534. e_534: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q21,q4,q1,p8,p5,p2,p9 ,p9) is replaced by e_480: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q21,q1,p8,p5,p9 ,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_505 and e_13. e_13: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q34,q18,p5,p2 ,p2,p9) is replaced by e_139: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q18,q16,p2 ,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q18 from e_372 and e_489. e_489: 4 terms, 12 factors, with derivatives of functions of all variables: (q22,q18,q16,q4,p8,p5,p4,p2,p9) is replaced by e_455: 3 terms, 9 factors, with derivatives of functions of all variables: (q22,q16,q4,p8,p5,p4,p9) 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 : --- Length reducing decoupling steps : Eliminate q22 from e_528 and e_430. e_430: 5 terms, 15 factors, with derivatives of functions of all variables: (q22,q18,q16,q4,q1,p5,p4,p2,p9) is replaced by e_450: 4 terms, 12 factors, with derivatives of functions of all variables: (q18,q16,q4,q1,p5,p4,p2,p9) 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 : --- Length reducing decoupling steps : Eliminate q34 from e_505 and e_524. e_524: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q34,q18,p8 ,p8,p5,p9 ,p9) is replaced by e_527: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q18,q16,p8 ,p8,p2,p9 ,p9) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 867 2-Oct-2003 12:43:17, 50 ms (0%), 1162216 occupied, 23837734 free --- Factorization to subcases leading to substitutions : factorizing e_408 we get the alternative equations : 0=p2 0=q34 New level : 1.1.2.1.1.1.1.1. CRACK is now called with the new equation e_597 : 0=p2 e_139,e_513,e_514,e_499,e_304,e_324,e_372 are consequences of e_597 Step 830: Hot list of urgent steps : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 20 terms e_54 is a consequence of e_354 e_518,e_141,e_109,e_502 are consequences of e_516 e_212,e_517,e_541,e_439 are consequences of e_327 e_405 is a consequence of e_516.e_187,e_426 are consequences of e_465 e_511,e_523 are consequences of e_535 e_531 is a consequence of e_376 e_52 is a consequence of e_376.e_508 is a consequence of e_546 e_495,e_475,e_209,e_421,e_355,e_545,e_68,e_5,e_274,e_492,e_357,e_433,e_271,e_546 ,e_327 are consequences of e_549 e_543 is a consequence of e_549. Substitution of p2 found in e_597 : p2=0 Step 831: Hot list 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 16 terms Substitution of q1 found in e_354 : q1=0 Step 832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q34 found in e_516 : q34=0 Step 833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 11 terms e_550 is a consequence of e_549. e_489 is a consequence of e_549. e_261 is a consequence of e_549. e_522 is a consequence of e_549. Substitution of q16 found in e_465 : q16=0 Step 834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 10 terms e_430 is a consequence of e_376. Substitution of q4 found in e_535 : q4=0 Step 835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 5 terms Substitution of q18 found in e_549 : q18=0 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 : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q3 by an expression in q21, p8, p5, p9 found in e_534 : 10 factors in 3 terms 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 e_13 is a consequence of e_510 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_376 we get the alternative equations : 0=q22 0=p8 New level : 1.1.2.1.1.1.1.1.1. CRACK is now called with the new equation e_542 : 0=q22 e_398,e_548,e_487,e_427 are consequences of e_542 Step 842: 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 q21 The list of inequalities got extended by: An expression with 5 terms Substitution of q22 found in e_542 : q22=0 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 : --- Length reducing decoupling steps : Eliminate p8 from e_510 and e_368. e_368: 0=(p8 - p9)*p5 is replaced by e_494: 0=p5 e_529,e_510 are consequences of e_494 Step 844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p4 The list of inequalities got extended by: q32 The list of inequalities got extended by: 2*g0028*p4 - g0030*p8 The list of inequalities got extended by: g0007*q21 + g0016*p9 Substitution of p5 found in e_494 : p5=0 Step 845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0047*q32 + g0058*q21 Substitution of p8 found in e_107 : p8=0 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 : The list of inequalities got extended by: g0047*p4 + 3*g0058*p9 The list of inequalities got extended by: q32 Substitution of q32 by an expression in q21, p4, p9 found in e_2 : 1 ---*p4*q21 3 q32=------------ p9 >>>>>>>>> Solution of level 1.1.2.1.1.1.1.1.1. : no equations Non-vanishing expressions: q32,p4,p9,q21 g0047*p4 + 3*g0058*p9 g0007*q21 + g0016*p9 functions : q36=0 q35=0 q34=0 q33=0 1 ---*p4*q21 3 q32=------------ p9 q31=0 q30=0 q29=0 q28=0 q27=0 q26=0 q25=0 q24=0 q23=0 q22=0 q21, q20=0 q19=0 q18=0 q17=0 q16=0 p4*q21 q15=-------- p9 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 p10=0 p9, p8=0 p7=0 p6=0 p5=0 p4, p3=0 p2=0 p1=0 with 48 terms no equations 3 constants : p4,p9,q21 The system: 

b(1) =Db(2)*Db(1)*p9
    t

          3
b(2) =b(1) *p4
    t
The symmetry: 
        1      4
       ---*b(1) *p4*q21 + Db(2)*Db(1)*b(2)*p9*q21
        3
b(1) =--------------------------------------------
    s                      p9

                3
       b(2)*b(1) *p4*q21
b(2) =-------------------
    s         p9
And now in machine readable form:

The system: 

df(b(1),t)=d(1,b(2))*d(1,b(1))*p9$

df(b(2),t)=b(1)**3*p4$
The symmetry: 
df(b(1),s)=(1/3*b(1)**4*p4*q21 + d(1,b(2))*d(1,b(1))*b(2)*p9*q21)/p9$

df(b(2),s)=(b(2)*b(1)**3*p4*q21)/p9$

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: q32,q22,q21,p8,p5,p4,p9
New ordering: q32,q22,q21,p5,p4,p8,p9

The list of inequalities got extended by: 

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q32,q22,q21,p5,p4,p8,p9
New ordering: q32,q21,q22,p5,p4,p8,p9

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 30 ms

The list of inequalities got extended by: 

p2


New level : 1.1.2.1.1.1.1.2.
CRACK is now called with the new equation e_597 : 
0=q34

e_518,e_141,e_247,e_109,e_502 are consequences of e_597

Step 847: 
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 19 terms

The list of inequalities got extended by: 
An expression with 25 terms
e_453,e_7,e_187 are consequences of e_354

Substitution of q34 found in e_597 : 
q34=0


Step 848: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 18 terms

e_508 is a consequence of e_304.
e_398 is a consequence of e_372.
Substitution of q16 found in e_354 : 
q16=0


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

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

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

e_537 is a consequence of e_536.
e_515 is a consequence of e_536.
Substitution of q4 by an expression in 
q22, p8, p2, p9 found in e_1 : 7 factors in 3 terms

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 4 terms

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 3 terms
e_521,e_406,e_312,e_511,e_261,e_536,e_477 are consequences of e_500

Step 853: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 9 terms

The list of inequalities got extended by: 
An expression with 15 terms

e_523 is a consequence of e_372.e_495,e_274,e_492 are consequences of e_523

Substitution of q22 found in e_500 : 
q22=0


Step 854: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 855: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 856: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 857: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 858: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 868  2-Oct-2003 12:43:22, 30 ms (0%), 1007862 occupied, 23992089 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 : shortening by 1 term

Step 860: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 861: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 862: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 863: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 864: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 865: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 866: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 867: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 868: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 869: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 870: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 871: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 872: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 873: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 874: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

Step 875: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 0 terms

Step 877: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 878: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

e_556 is a consequence of e_423.
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 0 terms

Step 885: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 886: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

Step 887: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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
e_575,e_197,e_539 are consequences of e_579

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
e_6,e_420,e_327,e_525,e_21 are consequences of e_581

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 3 terms
e_14,e_562,e_433,e_513,e_107,e_553,e_423,e_499,e_304,e_324,e_46,e_271,e_372,
e_426,e_579,e_581 are consequences of e_583

Step 895: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 5 terms

Substitution of q18 found in e_583 : 
q18=0


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

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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_577 we get the alternative equations : 
0=p5


0=q1


New level : 1.1.2.1.1.1.1.2.1.
CRACK is now called with the new equation e_589 : 
0=p5


Step 898: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 
An expression with 4 terms
e_590 is a consequence of e_591

e_592 is a consequence of e_591.
e_594 is a consequence of e_591.
Substitution of p5 found in e_589 : 
p5=0


Step 899: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 

g0007*q21 + g0015*q1 + g0016*p9


Substitution of q3 found in e_591 : 
q3=0


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 : 
The list of inequalities got extended by: 
An expression with 3 terms

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q32,q21,q1,p8,p4,p2,p9
New ordering: q32,q1,q21,p8,p4,p2,p9

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 

q32

The lexicographical ordering of unknowns is changed
because q32 has to be non-zero, giving q32 a low priority.
Old ordering: q32,q1,q21,p8,p4,p2,p9
New ordering: q1,q32,q21,p8,p4,p2,p9

Substitution of q32 by an expression in 
q21, p4, p9 found in e_2 : 
      1
     ---*p4*q21
      3
q32=------------
         p9


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 : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

1


Substitution of p2 by an expression in 
p8 found in e_348 : 
p2=p8


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_593 we get the alternative equations : 
0=q1


0=p8 + p9


New level : 1.1.2.1.1.1.1.2.1.1.
CRACK is now called with the new equation e_599 : 
0=q1

e_408 is a consequence of e_599

Step 903: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0007*q21 + g0016*p9


The list of inequalities got extended by: 

2*g0028*p4 + g0030*p8


Substitution of q1 found in e_599 : 
q1=0



>>>>>>>>> Solution of level 1.1.2.1.1.1.1.2.1.1. : 
no equations


Non-vanishing expressions: q32,p8,q21,p4,p9,p2

2*g0028*p4 + g0030*p8


g0007*q21 + g0016*p9


2*g0047*p4 + 3*g0049*p8 + 6*g0058*p9


g0060*p9 + g0061*p8


functions : 
q36=0


q35=0


q34=0


q33=0


      1
     ---*p4*q21
      3
q32=------------
         p9


q31=0


      1
     ---*p8*q21
      2
q30=------------
         p9


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0

q21, 
q20=0


q19=0


q18=0


q17=0


q16=0


     p4*q21
q15=--------
       p9


q14=0


      1
     ---*p8*q21
      2
q13=------------
         p9


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p10=0

p9, p8, 
p7=0


p6=0


p5=0

p4, 
p3=0


p2=p8


p1=0


with 51 terms
no equations
4 constants : p4,p8,p9,q21
The system: 

b(1) =Db(2)*Db(1)*p9 + b(1) *b(2)*p8
    t                      x

          3
b(2) =b(1) *p4 + b(2) *b(2)*p8
    t                x
The symmetry: 
        1      4                                     1            2
       ---*b(1) *p4*q21 + Db(2)*Db(1)*b(2)*p9*q21 + ---*b(1) *b(2) *p8*q21
        3                                            2      x
b(1) =---------------------------------------------------------------------
    s                                  p9

                3           1            2
       b(2)*b(1) *p4*q21 + ---*b(2) *b(2) *p8*q21
                            2      x
b(2) =--------------------------------------------
    s                      p9
And now in machine readable form:

The system: 

df(b(1),t)=d(1,b(2))*d(1,b(1))*p9 + df(b(1),x)*b(2)*p8$

df(b(2),t)=b(1)**3*p4 + df(b(2),x)*b(2)*p8$
The symmetry: 
df(b(1),s)=(1/3*b(1)**4*p4*q21 + d(1,b(2))*d(1,b(1))*b(2)*p9*q21 + 1/2*df(b(1),x
)*b(2)**2*p8*q21)/p9$

df(b(2),s)=(b(2)*b(1)**3*p4*q21 + 1/2*df(b(2),x)*b(2)**2*p8*q21)/p9$

Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

q1


New level : 1.1.2.1.1.1.1.2.1.2.
CRACK is now called with the new equation e_599 : 
0=p8 + p9


Step 904: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 
An expression with 3 terms

Substitution of p8 by an expression in 
p9 found in e_599 : 
p8= - p9


leads to a contradiction in : 
0=p8 - p9


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q32,q21,q3,q1,p8,p5,p4,p2,p9
New ordering: q32,q21,q3,q1,p8,p4,p5,p2,p9

New level : 1.1.2.1.1.1.1.2.2.
CRACK is now called with the new equation e_589 : 
0=q1

e_54,e_551 are consequences of e_589

Step 905: 
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 4 terms

Substitution of q1 found in e_589 : 
q1=0


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

Substitution of q32 by an expression in 
q21, q3, p4, p5, p9 found in e_353 : 13 factors in 3 terms

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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_590 we get the alternative equations : 
0=q21


0=p8 - p9


New level : 1.1.2.1.1.1.1.2.2.1.
CRACK is now called with the new equation e_598 : 
0=q21

e_348 is a consequence of e_598

Step 908: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0013*q3 + g0016*p9 + g0017*p5


The list of inequalities got extended by: 

q3


The list of inequalities got extended by: 

p4


The list of inequalities got extended by: 

q21


Substitution of q21 found in e_598 : 
q21=0


leads to a contradiction in : 7 factors in 2 terms

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: q21,q3,p8,p4,p5,p2,p9
New ordering: q21,q3,p4,p8,p5,p2,p9

The list of inequalities got extended by: 

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q21,q3,p4,p8,p5,p2,p9
New ordering: q3,q21,p4,p8,p5,p2,p9

New level : 1.1.2.1.1.1.1.2.2.2.
CRACK is now called with the new equation e_598 : 
0=p8 - p9


Step 909: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 

p9


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

The list of inequalities got extended by: 

1


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

e_597 is a consequence of e_7.
Substitution of p9 by an expression in 
p8 found in e_598 : 
p9=p8


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 : 
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
e_348 is a consequence of e_453

Substitution of q3 by an expression in 
q21, p8, p5, p2 found in e_7 : 12 factors in 3 terms

Step 911: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 
An expression with 3 terms

Substitution of p2 by an expression in 
p8 found in e_453 : 
p2=p8


Step 912: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0030*p8 + 2*g0040*p5


Substitution of p4 found in e_187 : 
p4=0



>>>>>>>>> Solution of level 1.1.2.1.1.1.1.2.2.2. : 
no equations


Non-vanishing expressions: q21,p8,p5,p9,p2

g0030*p8 + 2*g0040*p5


                                      2
g0007*p8*q21 + g0013*p5*q21 + g0016*p8  + g0017*p5*p8


functions : 
q36=0


q35=0


q34=0


q33=0


q32=0


q31=0


     1
q30=---*q21
     2


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=0

q21, 
q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


     1
q13=---*q21
     2


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


    p5*q21
q3=--------
      p8


q2=0


q1=0


p10=0


p9=p8

p8, 
p7=0


p6=0

p5, 
p4=0


p3=0


p2=p8


p1=0


with 51 terms
no equations
3 constants : p5,p8,q21
The system: 

b(1) =Db(2)*Db(1)*p8 + b(1) *b(2)*p8
    t                      x

b(2) =Db(1) *Db(1)*p5 + b(2) *b(2)*p8
    t      x                x
The symmetry: 
                              1            2
b(1) =Db(2)*Db(1)*b(2)*q21 + ---*b(1) *b(2) *q21
    s                         2      x

                                   1            2
       Db(1) *Db(1)*b(2)*p5*q21 + ---*b(2) *b(2) *p8*q21
            x                      2      x
b(2) =---------------------------------------------------
    s                         p8
And now in machine readable form:

The system: 

df(b(1),t)=d(1,b(2))*d(1,b(1))*p8 + df(b(1),x)*b(2)*p8$

df(b(2),t)=d(1,df(b(1),x))*d(1,b(1))*p5 + df(b(2),x)*b(2)*p8$
The symmetry: 
df(b(1),s)=d(1,b(2))*d(1,b(1))*b(2)*q21 + 1/2*df(b(1),x)*b(2)**2*q21$

df(b(2),s)=(d(1,df(b(1),x))*d(1,b(1))*b(2)*p5*q21 + 1/2*df(b(2),x)*b(2)**2*p8*
q21)/p8$

This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 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,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p5,p4,p2,p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p5,p4,p2,p7,p9

New level : 1.1.2.1.1.1.2.
CRACK is now called with the new equation e_375 : 
0=p5

e_371,e_446,e_460,e_444,e_488,e_484,e_420,e_224 are consequences of e_375

Step 913: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

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

The list of inequalities got extended by: 

p4

The lexicographical ordering of unknowns is changed
because p4 has to be non-zero, giving p4 a low priority.
Old ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p5,p4,p2,p7,p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p5,p2,p4,p7,p9
e_494 is a consequence of e_247

e_175 is a consequence of e_408.
e_453 is a consequence of e_247.
e_510 is a consequence of e_247.
e_511 is a consequence of e_247.
e_477 is a consequence of e_505.
Substitution of p5 found in e_375 : 
p5=0


Step 914: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms
e_348 is a consequence of e_518

Substitution of q32 found in e_14 : 
q32=0


Step 915: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

The list of inequalities got extended by: 
An expression with 15 terms

Substitution of q3 found in e_247 : 
q3=0


Step 916: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 17 terms

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

Substitution of q21 found in e_518 : 
q21=0


Step 917: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 14 terms
e_438,e_447,e_7,e_187,e_502 are consequences of e_107

e_465 is a consequence of e_107.
e_433 is a consequence of e_107.
e_431 is a consequence of e_107.
e_87 is a consequence of e_107.
e_52 is a consequence of e_107.
Substitution of q19 by an expression in 
q16 found in e_6 : 
q19= - q16


Step 918: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 12 terms
e_520,e_517,e_105,e_46,e_271,e_408 are consequences of e_368
e_219,e_512,e_21,e_503 are consequences of e_332

e_437 is a consequence of e_368.
e_353 is a consequence of e_368.
e_354 is a consequence of e_368.
e_475 is a consequence of e_368.
e_423 is a consequence of e_368.
e_90 is a consequence of e_368.
e_487 is a consequence of e_368.
e_450 is a consequence of e_368.
e_421 is a consequence of e_332.
e_209 is a consequence of e_368.
e_68 is a consequence of e_368.
Substitution of q16 found in e_107 : 
q16=0


Step 919: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

The list of inequalities got extended by: 
An expression with 9 terms

e_427 is a consequence of e_332.
e_445 is a consequence of e_332.
e_5 is a consequence of e_332.
e_489 is a consequence of e_332.
e_109 is a consequence of e_332.
e_492 is a consequence of e_332.
e_321 is a consequence of e_332.
e_274 is a consequence of e_332.
e_355 is a consequence of e_332.
e_493 is a consequence of e_332.
e_480 is a consequence of e_332.
e_139 is a consequence of e_332.
e_406 is a consequence of e_332.
e_455 is a consequence of e_332.
e_261 is a consequence of e_332.
Substitution of q18 found in e_368 : 
q18=0


Step 920: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 6 terms

Substitution of q35 found in e_332 : 
q35=0


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

The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 7 terms
e_459,e_281 are consequences of e_491

Substitution of q22 by an expression in 
q4, q2 found in e_203 : 
q22= - q2 + q4


Step 922: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 5 terms
e_163,e_195,e_141 are consequences of e_499
e_500,e_54 are consequences of e_304

e_440 is a consequence of e_276.
e_440 is a consequence of e_495.
Substitution of q2 found in e_491 : 
q2=0


Step 923: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 3 terms

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

e_197 is a consequence of e_304.
Substitution of q34 found in e_499 : 
q34=0


Step 924: 
Hot list 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

q4

The lexicographical ordering of unknowns is changed
because q4 has to be non-zero, giving q4 a low priority.
Old ordering: q31,q4,q1,p8,p2,p4,p7,p9
New ordering: q31,q1,q4,p8,p2,p4,p7,p9

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: q31,q1,q4,p8,p2,p4,p7,p9
New ordering: q31,q1,q4,p2,p8,p4,p7,p9

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

g0006*q4 + g0012*q4 + g0016*p9


e_442 is a consequence of e_457.
Substitution of q1 found in e_304 : 
q1=0


Step 925: 
Hot list 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: 

p7


The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 
An expression with 5 terms

Substitution of p7 by an expression in 
p2 found in e_435 : 
       1
p7= - ---*p2
       2


leads to a contradiction in : 
0=p2 + 2*p7 + p9


Time: 0 ms

Time: 0 ms

Time: 40 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,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p5,p4,p2,p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p5,p4,p2,p7,p9

The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p5,p4,p2,p7,p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p4,p2,p5,p7,p9

New level : 1.1.2.1.1.1.3.
CRACK is now called with the new equation e_375 : 
0=q18

e_105,e_46,e_271 are consequences of e_375

Step 926: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 14 terms

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

The list of inequalities got extended by: 
An expression with 19 terms

e_247 is a consequence of e_224.e_438,e_447,e_7,e_187 are consequences of e_247

e_408 is a consequence of e_420.e_281 is a consequence of e_502

e_503 is a consequence of e_224.
e_175 is a consequence of e_420.e_219,e_21 are consequences of e_175

e_505 is a consequence of e_420.
e_510 is a consequence of e_420.
e_525 is a consequence of e_312.
Substitution of q18 found in e_375 : 
q18=0


Step 927: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

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

e_332 is a consequence of e_224.e_81 is a consequence of e_518
e_63,e_10,e_307,e_507,e_518 are consequences of e_459

e_430 is a consequence of e_459.e_163,e_195,e_453,e_141,e_312
 are consequences of e_426

e_425 is a consequence of e_224.
e_405 is a consequence of e_426.
e_107 is a consequence of e_459.
e_431 is a consequence of e_459.
e_354 is a consequence of e_426.
e_353 is a consequence of e_459.
e_90 is a consequence of e_459.
e_423 is a consequence of e_459.
e_52 is a consequence of e_459.
Substitution of q35 found in e_420 : 
q35=0


Step 928: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

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

e_6 is a consequence of e_459.
e_87 is a consequence of e_502.
e_331 is a consequence of e_459.
e_465 is a consequence of e_459.
e_5 is a consequence of e_426.
e_475 is a consequence of e_426.
e_209 is a consequence of e_426.
e_355 is a consequence of e_459.
*** Garbage collection starting 
*** GC 869  2-Oct-2003 12:43:25, 40 ms (0%), 1033454 occupied, 23966498 free

Substitution of q16 found in e_224 : 
q16=0


Step 929: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms
e_348 is a consequence of e_406

Substitution of q32 found in e_14 : 
q32=0


Step 930: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

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

The list of inequalities got extended by: 
An expression with 9 terms

e_487 is a consequence of e_426.
e_450 is a consequence of e_459.e_54 is a consequence of e_445

Substitution of q2 found in e_502 : 
q2=0


Step 931: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

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

e_433 is a consequence of e_426.e_197,e_493 are consequences of e_427

e_398 is a consequence of e_426.
e_376 is a consequence of e_426.
e_17 is a consequence of e_426.
e_480 is a consequence of e_426.
e_271 is a consequence of e_426.
e_139 is a consequence of e_426.
Substitution of q19 found in e_459 : 
q19=0


Step 932: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 7 terms

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

e_105 is a consequence of e_445.
Substitution of q34 found in e_426 : 
q34=0


Step 933: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 6 terms

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

e_491 is a consequence of e_427.
Substitution of q1 found in e_445 : 
q1=0


Step 934: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 6 terms
e_13,e_276,e_495,e_274 are consequences of e_447

e_46 is a consequence of e_447.
e_438 is a consequence of e_447.e_494,e_492 are consequences of e_408

e_503 is a consequence of e_447.
Substitution of q22 found in e_427 : 
q22=0


Step 935: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

e_281 is a consequence of e_447.
e_247 is a consequence of e_447.
e_219 is a consequence of e_408.
Substitution of q31 found in e_7 : 
q31=0


Step 936: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

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

The list of inequalities got extended by: 
An expression with 3 terms

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q21,q4,q3,p8,p4,p2,p5,p7,p9
New ordering: q4,q3,q21,p8,p4,p2,p5,p7,p9

The list of inequalities got extended by: 

q3


Substitution of q4 found in e_447 : 
q4=0


leads to a contradiction in : 8 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

p3

The lexicographical ordering of unknowns is changed
because p3 has to be non-zero, giving p3 a low priority.
Old ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p5,p4,p3,p2,
p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p5,p4,p2,p3,
p9

New level : 1.1.2.1.1.2.
CRACK is now called with the new equation e_518 : 
0=q34

e_163,e_195,e_141 are consequences of e_518

Step 937: 
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 16 terms

The list of inequalities got extended by: 
An expression with 22 terms

Substitution of q34 found in e_518 : 
q34=0


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 : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 18 terms

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

Substitution of q2 by an expression in 
q22, q1, p8, p7, p9 found in e_497 : 9 factors in 4 terms

Step 942: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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

e_517 is a consequence of e_477.
Step 944: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 945: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 946: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 : 
The list of inequalities got extended by: 
An expression with 28 terms

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

e_107 is a consequence of e_477.
e_1 is a consequence of e_271.
e_465 is a consequence of e_477.
e_455 is a consequence of e_477.
Substitution of q35 by an expression in 
q18, p8, p2, p9 found in e_405 : 7 factors in 3 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

Step 951: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 952: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

Step 956: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_103 is a consequence of e_95.e_447,e_224 are consequences of e_103

Step 957: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 958: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

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

The list of inequalities got extended by: 
An expression with 28 terms

e_493 is a consequence of e_198.
e_445 is a consequence of e_198.
Substitution of q18 by an expression in 
q19, q16, p2, p9 found in e_497 : 7 factors in 3 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 1 term

e_526 is a consequence of e_312.
Step 960: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 961: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_425 is a consequence of e_312.
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 1 term

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 4 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 4 terms

Step 965: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 966: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 1 term

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 5 terms

e_487 is a consequence of e_312.
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 4 terms

Step 971: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 972: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 7 terms

e_274 is a consequence of e_312.
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 3 terms

Step 974: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 4 terms

Step 976: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 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 7 terms

Step 978: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 979: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 980: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 7 terms

Step 981: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q16

from e_95 and e_6. e_6: 

0=(q16 + q19)*p7

is replaced by e_224: 

0=p7*q19


Step 982: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_103 is a consequence of e_312.
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

e_458 is a consequence of e_510.
Step 984: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_493 is a consequence of e_510.
Step 985: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 986: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 988: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_420 is a consequence of e_504.
Step 989: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_449 is a consequence of e_522.
Step 990: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 991: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 992: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 870  2-Oct-2003 12:43:28, 40 ms (0%), 1050319 occupied, 23949631 free
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 4 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 1 term

Step 995: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 7 terms

Step 996: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 997: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 998: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 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 7 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 :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_489. e_489: 

0=p2*p8*(6*q16 + q19)

is replaced by e_526: 

0=p2*p8*q16


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 4 terms

Step 1002: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 1 term

Step 1004: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1005: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1006: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1007: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1008: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1009: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1010: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_261 is a consequence of e_312.
Step 1011: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1012: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1013: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1014: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1015: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1016: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1017: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1018: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1019: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_445. e_445: 
(#) 3 terms, 10 factors, with derivatives of functions of all variables: 

               3
 (q19,q16,p8,p2 ,p2,p9)

is replaced by e_274: 

0=p2*q16

e_526 is a consequence of e_274

Step 1021: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_7,e_187,e_440,e_95,e_274 are consequences of e_506

Step 1022: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

The list of inequalities got extended by: 
An expression with 28 terms

The list of inequalities got extended by: 
An expression with 19 terms

e_198 is a consequence of e_312.
e_510 is a consequence of e_312.
e_510 is a consequence of e_10.
e_509 is a consequence of e_312.
e_509 is a consequence of e_307.
e_508 is a consequence of e_312.
e_426 is a consequence of e_312.
e_139 is a consequence of e_312.
e_455 is a consequence of e_312.
e_107 is a consequence of e_312.
e_459 is a consequence of e_312.
Substitution of q16 found in e_506 : 
q16=0


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 871  2-Oct-2003 12:43:31, 40 ms (0%), 1046593 occupied, 23953356 free
Eliminate 
q22

from e_504 and e_500. e_500: 
(#) 10 terms, 31 factors, with derivatives of functions of all variables: 

              2      2         2
 (q22,q4,q1,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_480: 

0=q4*(p8 - 2*p9)*p7


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 872  2-Oct-2003 12:43:35, 40 ms (0%), 1058243 occupied, 23941706 free
Eliminate 
q22

from e_504 and e_398. e_398: 
(#) 15 terms, 46 factors, with derivatives of functions of all variables: 

              2      3   2         2
 (q22,q4,q1,p8 ,p8,p7 ,p7 ,p7,p2,p9 ,p9)

is replaced by e_447: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

          2
 (q4,p8,p7 ,p7,p2,p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 873  2-Oct-2003 12:43:38, 40 ms (0%), 1055585 occupied, 23944362 free
Eliminate 
q19

from e_312 and e_454. e_454: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                  2      2         2         2
 (q22,q19,q4,q1,p8 ,p8,p7 ,p7,p4,p2 ,p2,p3,p9 ,p9)

is replaced by e_103: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                 2
 (q22,q4,q1,p8,p7 ,p7,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_504 and e_103. e_103: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                 2
 (q22,q4,q1,p8,p7 ,p7,p9)

is replaced by e_493: 

0=p7*q4

e_447,e_480 are consequences of e_493

Step 1027: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1028: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1029: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1030: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1031: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1032: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1033: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1034: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1035: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1036: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_515 and e_372. e_372: 
 20 terms, 80 factors, with derivatives of functions of all variables: 

                  3   2      3   2         2
 (q31,q22,q3,q1,p8 ,p8 ,p8,p7 ,p7 ,p7,p2,p9 ,p9)

is replaced by e_195: 
 16 terms, 64 factors, with derivatives of functions of all variables: 

              3   2      3   2         2
 (q22,q3,q1,p8 ,p8 ,p8,p7 ,p7 ,p7,p2,p9 ,p9)


Step 1037: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_17. e_17: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                     2                  2
 (q22,q19,q4,q1,p8,p7 ,p7,p5,p4,p2,p3,p9 ,p9)

is replaced by e_105: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                 2            2
 (q22,q4,q1,p8,p7 ,p7,p5,p3,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_511. e_511: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q31,q22,q21,q19,q3,q1,p5,p4,p2,p3,p9)

is replaced by e_492: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q31,q22,q21,q3,q1,p5,p3,p9)


Step 1039: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_488. e_488: 
 12 terms, 48 factors, with derivatives of functions of all variables: 

                      2            2      2      2
 (q22,q21,q19,q1,p8,p7 ,p7,p5,p4,p2 ,p2,p3 ,p3,p9 ,p9)

is replaced by e_444: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                  2         2      2
 (q22,q21,q1,p8,p7 ,p7,p5,p3 ,p3,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q19

from e_312 and e_13. e_13: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                          2            2   2      2
 (q31,q22,q21,q19,q1,p8,p7 ,p7,p5,p4,p2 ,p3 ,p3,p9 ,p9)

is replaced by e_124: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                      2         2      2
 (q31,q22,q21,q1,p8,p7 ,p7,p5,p3 ,p3,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_504 and e_124. e_124: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                      2         2      2
 (q31,q22,q21,q1,p8,p7 ,p7,p5,p3 ,p3,p9 ,p9)

is replaced by e_415: 

0=p3*q21 - 2*p9*q31


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 : 
The list of inequalities got extended by: 
An expression with 28 terms

Substitution of q31 by an expression in 
q21, p3, p9 found in e_415 : 
      1
     ---*p3*q21
      2
q31=------------
         p9


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 874  2-Oct-2003 12:43:42, 40 ms (0%), 1044334 occupied, 23955616 free
Eliminate 
q22

from e_449 and e_175. e_175: 
 19 terms, 76 factors, with derivatives of functions of all variables: 

                  2      3   2            2
 (q22,q21,q3,q1,p8 ,p8,p7 ,p7 ,p7,p2,p3,p9 ,p9)

is replaced by e_430: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

              2      2
 (q21,q4,q3,p7 ,p7,p2 ,p2,p3,p9)


Step 1044: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 :  --- 
Length reducing decoupling steps : Eliminate 
q22

from e_449 and e_453. e_453: 
 14 terms, 42 factors, with derivatives of functions of all variables: 

                  2      2            2
 (q22,q21,q3,q1,p8 ,p8,p7 ,p7,p5,p3,p9 ,p9)

is replaced by e_427: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                                2
 (q21,q4,q3,q1,p8,p7,p5,p2,p3,p9 ,p9)


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_224 we get the alternative equations : 
0=q19


0=p7


New level : 1.1.2.1.1.2.1.
CRACK is now called with the new equation e_572 : 
0=q19

e_375,e_433,e_487,e_431,e_18,e_354,e_331,e_450,e_370,e_425,e_516,e_63,e_513,
e_357,e_10,e_307,e_312 are consequences of e_572

Step 1047: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 17 terms

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

Substitution of q19 found in e_572 : 
q19=0


Step 1048: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1049: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1050: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
*** Garbage collection starting 
*** GC 875  2-Oct-2003 12:43:46, 30 ms (0%), 1035682 occupied, 23964266 free

factorizing e_493 we get the alternative equations : 
0=p7


0=q4


New level : 1.1.2.1.1.2.1.1.
CRACK is now called with the new equation e_219 : 
0=p7

e_514,e_504,e_497,e_273,e_494,e_438,e_14 are consequences of e_219

Step 1052: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0060*p9 + g0061*p8


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 5 terms

e_274 is a consequence of e_518.
Substitution of p7 found in e_219 : 
p7=0


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 : 
The list of inequalities got extended by: 
An expression with 9 terms

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

Substitution of q4 by an expression in 
q22, p5, p3 found in e_87 : 
    2*p5*q22
q4=----------
       p3


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 : 
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 14 terms
e_507,e_517 are consequences of e_445

e_261 is a consequence of e_445.
Substitution of q21 by an expression in 
q22, p8, p3, p9 found in e_423 : 
     p8*q22 + p9*q22
q21=-----------------
           p3


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 : 
The list of inequalities got extended by: 
An expression with 9 terms

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q32,q22,q3,q1,p8,p5,p4,p2,p3,p9
New ordering: q32,q3,q1,q22,p8,p5,p4,p2,p3,p9

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: q32,q3,q1,q22,p8,p5,p4,p2,p3,p9
New ordering: q32,q3,q1,q22,p5,p4,p2,p8,p3,p9

Substitution of q32 by an expression in 
q22, p4, p8, p3, p9 found in e_526 : 13 factors in 3 terms

Step 1056: 
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


Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q32,q22,q21,q4,q3,q1,p8,p7,p5,p4,p2,p3,p9
New ordering: q32,q22,q21,q4,q3,q1,p8,p5,p4,p2,p7,p3,p9

New level : 1.1.2.1.1.2.1.2.
CRACK is now called with the new equation e_219 : 
0=q4

e_276 is a consequence of e_219

Step 1057: 
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 15 terms

The list of inequalities got extended by: 
An expression with 9 terms
e_54,e_446 are consequences of e_517

Substitution of q4 found in e_219 : 
q4=0


Step 1058: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms
e_348 is a consequence of e_90

Substitution of q32 found in e_14 : 
q32=0


Step 1059: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 7 terms

e_521 is a consequence of e_438.
e_526 is a consequence of e_445.
e_274 is a consequence of e_445.
e_274 is a consequence of e_328.
Substitution of q1 found in e_517 : 
q1=0


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

The list of inequalities got extended by: 
An expression with 7 terms

e_209 is a consequence of e_494.
e_68 is a consequence of e_494.
e_500 is a consequence of e_494.
Substitution of q3 by an expression in 
q21, p5, p9 found in e_273 : 
    p5*q21
q3=--------
      p9


Step 1061: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1062: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1063: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_197,e_460,e_328,e_445,e_408,e_438 are consequences of e_247

Step 1064: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

q21


The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 4 terms
e_494 is a consequence of e_52

Substitution of q22 found in e_247 : 
q22=0


leads to a contradiction in : 14 factors in 4 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q32,q22,q21,q19,q4,q3,q1,p8,p7,p5,p4,p2,p3,p9
New ordering: q32,q22,q21,q19,q4,q3,q1,p7,p5,p4,p2,p8,p3,p9

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

q19

The lexicographical ordering of unknowns is changed
because q19 has to be non-zero, giving q19 a low priority.
Old ordering: q32,q22,q21,q19,q4,q3,q1,p7,p5,p4,p2,p8,p3,p9
New ordering: q32,q22,q21,q4,q3,q1,q19,p7,p5,p4,p2,p8,p3,p9

New level : 1.1.2.1.1.2.2.
CRACK is now called with the new equation e_572 : 
0=p7

e_514,e_504,e_497,e_273,e_494,e_14,e_493 are consequences of e_572

Step 1065: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

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

The list of inequalities got extended by: 

g0060*p9 + g0061*p8


The list of inequalities got extended by: 
An expression with 15 terms

e_438 is a consequence of e_307.
e_495 is a consequence of e_307.
e_141 is a consequence of e_10.
e_451 is a consequence of e_10.
e_522 is a consequence of e_307.
e_163 is a consequence of e_331.e_261 is a consequence of e_90

e_5 is a consequence of e_90.
Substitution of p7 found in e_572 : 
p7=0


Step 1066: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

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

The list of inequalities got extended by: 
An expression with 14 terms
e_276,e_21 are consequences of e_465
e_348 is a consequence of e_423

e_521 is a consequence of e_465.
e_219 is a consequence of e_423.
e_525 is a consequence of e_465.
Substitution of q22 found in e_90 : 
q22=0


Step 1067: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 
An expression with 10 terms
e_2 is a consequence of e_507

Substitution of q4 found in e_465 : 
q4=0


Step 1068: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

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

The list of inequalities got extended by: 
An expression with 6 terms
e_328 is a consequence of e_445

e_526 is a consequence of e_445.
Substitution of q21 found in e_423 : 
q21=0


Step 1069: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0019*p5 + g0021*p3


e_517 is a consequence of e_353.
Substitution of p4 found in e_507 : 
p4=0


Step 1070: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

Substitution of q32 found in e_353 : 
q32=0


Step 1071: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 
An expression with 5 terms

Substitution of q3 found in e_445 : 
q3=0


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 : 
contradiction from the substitution:
p2=0

because of the non-vanishing expression:
p2


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

p9


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: q1,q19,p5,p2,p8,p3,p9
New ordering: q1,q19,p5,p2,p3,p8,p9

The list of inequalities got extended by: 

p2

The lexicographical ordering of unknowns is changed
because p2 has to be non-zero, giving p2 a low priority.
Old ordering: q1,q19,p5,p2,p3,p8,p9
New ordering: q1,q19,p5,p3,p2,p8,p9

The list of inequalities got extended by: 

g0024*q19 + g0042*q1


This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p1


New level : 1.1.2.1.2.
CRACK is now called with the new equation e_504 : 
0=q34

e_163,e_195,e_141,e_1 are consequences of e_504

Step 1073: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

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

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

Substitution of q34 found in e_504 : 
q34=0


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 : 
The list of inequalities got extended by: 
An expression with 21 terms
e_348,e_439 are consequences of e_107

Substitution of q32 by an expression in 
q21, p4, p9 found in e_453 : 
      2
     ---*p4*q21
      5
q32=------------
         p9


Step 1075: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1076: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1077: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1078: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1079: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1080: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 
An expression with 22 terms

Substitution of q2 by an expression in 
q22, q1, p8, p7, p9 found in e_355 : 9 factors in 4 terms

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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 876  2-Oct-2003 12:43:49, 50 ms (0%), 1088515 occupied, 23911432 free
Eliminate 
q18

from e_46 and e_422. e_422: 
(#) 6 terms, 8 factors, with derivatives of functions of all variables: 

                  2
 (q18,q16,p8,p7,p2 ,p2)

is replaced by e_141: 

0=q16*p7*(p2 - p8)


e_141 is a consequence of e_7.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_46 and e_223. e_223: 
(#) 6 terms, 8 factors, with derivatives of functions of all variables: 

                  2
 (q18,q16,p8,p7,p2 ,p2)

is replaced by e_195: 

0=q16*p7*(p2 - p8)


e_195 is a consequence of e_7.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_372 and e_321. e_321: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

               2
 (q35,q18,p8,p7 ,p7,p9)

is replaced by e_163: 
(#) 3 terms, 5 factors, with derivatives of functions of all variables: 

           2
 (q18,p8,p7 ,p7,p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 877  2-Oct-2003 12:43:53, 40 ms (0%), 1077316 occupied, 23922629 free
Eliminate 
q35

from e_372 and e_427. e_427: 
(#) 6 terms, 13 factors, with derivatives of functions of all variables: 

               2
 (q35,q18,p8,p7 ,p7,p2,p9)

is replaced by e_406: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

           2
 (q18,p8,p7 ,p7,p2,p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 878  2-Oct-2003 12:43:57, 30 ms (0%), 1051906 occupied, 23948040 free
Eliminate 
q22

from e_501 and e_482. e_482: 
(#) 10 terms, 31 factors, with derivatives of functions of all variables: 

              2      2         2
 (q22,q4,q1,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_235: 

0=q4*(p8 - 2*p9)*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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 879  2-Oct-2003 12:44:01, 40 ms (0%), 1081517 occupied, 23918427 free
Eliminate 
q19

from e_5 and e_468. e_468: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                2      2         2
 (q35,q19,q18,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_405: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

            2      2         2
 (q35,q18,p8 ,p8,p7 ,p7,p2,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 880  2-Oct-2003 12:44:05, 30 ms (0%), 1051863 occupied, 23948083 free
Eliminate 
q19

from e_5 and e_423. e_423: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q19,q18,p8,p2,p9)

is replaced by e_274: 

0=q18*(2*p2 + p7 + p8 + p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 881  2-Oct-2003 12:44:09, 40 ms (0%), 1075316 occupied, 23924630 free
*** Garbage collection starting 
*** GC 882  2-Oct-2003 12:44:14, 30 ms (0%), 1055988 occupied, 23943958 free
Eliminate 
q22

from e_501 and e_491. e_491: 
(#) 16 terms, 49 factors, with derivatives of functions of all variables: 

                  2      3   2            2
 (q22,q21,q4,q1,p8 ,p8,p7 ,p7 ,p7,p2,p1,p9 ,p9)

is replaced by e_439: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

              2
 (q21,q4,p8,p7 ,p7,p2,p1,p9)


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 883  2-Oct-2003 12:44:19, 40 ms (0%), 1068607 occupied, 23931338 free
Eliminate 
q19

from e_5 and e_470. e_470: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q35,q19,q18,p8,p7,p5,p3,p2,p1,p9)

is replaced by e_442: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q35,q18,p8,p7,p5,p3,p2,p1,p9)


Step 1090: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 884  2-Oct-2003 12:44:23, 40 ms (0%), 1070936 occupied, 23929009 free
Eliminate 
q19

from e_430 and e_379. e_379: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                2      2         2
 (q35,q19,q18,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_443: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                2      2         2
 (q35,q18,q16,p8 ,p8,p7 ,p7,p2,p9 ,p9)


Step 1091: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 885  2-Oct-2003 12:44:29, 40 ms (0%), 1054096 occupied, 23945850 free
Eliminate 
q19

from e_5 and e_474. e_474: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

 (q35,q19,q18,q16,p8,p7,p5,p3,p2,p1,p9)

is replaced by e_440: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

 (q35,q18,q16,p8,p7,p5,p3,p2,p1,p9)


Step 1092: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 886  2-Oct-2003 12:44:34, 40 ms (0%), 1055233 occupied, 23944713 free
Eliminate 
q22

from e_501 and e_484. e_484: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                          2            2         2
 (q31,q22,q21,q18,q1,p8,p7 ,p7,p5,p4,p3 ,p3,p2,p9 ,p9)

is replaced by e_445: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

                   2
 (q31,q21,q18,p4,p3 ,p3,p2,p9)


Step 1093: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 887  2-Oct-2003 12:44:40, 40 ms (0%), 1065089 occupied, 23934857 free
*** Garbage collection starting 
*** GC 888  2-Oct-2003 12:44:46, 40 ms (0%), 1065167 occupied, 23934778 free
Eliminate 
q22

from e_501 and e_495. e_495: 
 15 terms, 60 factors, with derivatives of functions of all variables: 

                                     2               2      2
 (q35,q31,q22,q21,q19,q16,q4,q1,p8,p7 ,p7,p4,p3,p2,p1 ,p1,p9 ,p9)

is replaced by e_331: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                                          2
 (q35,q31,q21,q19,q16,q4,p8,p7,p4,p3,p2,p1 ,p1,p9)


Step 1094: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_265 and e_331. e_331: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                                          2
 (q35,q31,q21,q19,q16,q4,p8,p7,p4,p3,p2,p1 ,p1,p9)

is replaced by e_450: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                                   3   2
 (q31,q21,q19,q16,q4,p7,p4,p3,p2,p1 ,p1 ,p1,p9)


Step 1095: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 889  2-Oct-2003 12:44:53, 40 ms (0%), 1061620 occupied, 23938326 free
Eliminate 
q22

from e_487 and e_497. e_497: 
 15 terms, 45 factors, with derivatives of functions of all variables: 

                  2      2               2
 (q22,q21,q3,q1,p8 ,p8,p7 ,p7,p5,p3,p1,p9 ,p9)

is replaced by e_451: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                                   2
 (q21,q4,q3,q1,p8,p7,p5,p3,p2,p1,p9 ,p9)


Step 1096: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 890  2-Oct-2003 12:45:01, 40 ms (0%), 1060625 occupied, 23939320 free
 --- 
Factorization to subcases leading to substitutions : 
*** Garbage collection starting 
*** GC 891  2-Oct-2003 12:45:11, 40 ms (0%), 1057013 occupied, 23942933 free

factorizing e_107 we get the alternative equations : 
0=q21


0=p4


New level : 1.1.2.1.2.1.
CRACK is now called with the new equation e_507 : 
0=q21


Step 1097: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 20 terms

The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 18 terms
e_385,e_504 are consequences of e_468

e_423 is a consequence of e_468.
Substitution of q21 found in e_507 : 
q21=0


Step 1098: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 16 terms

Substitution of q3 found in e_468 : 
q3=0


Step 1099: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_474 and e_495. e_495: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

              2      2         2
 (q22,q4,q1,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_288: 
(#) 12 terms, 11 factors, with derivatives of functions of all variables: 

           2      2      2
 (q22,q1,p8 ,p8,p7 ,p7,p9 ,p9)


Step 1100: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 892  2-Oct-2003 12:45:18, 40 ms (0%), 1060502 occupied, 23939442 free
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_46 we get the alternative equations : 
0=q18


0=p2 - p8


New level : 1.1.2.1.2.1.1.
CRACK is now called with the new equation e_124 : 
0=q18

e_368,e_406,e_68,e_428,e_163,e_274,e_105,e_271 are consequences of e_124

Step 1101: 
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 16 terms

The list of inequalities got extended by: 
An expression with 13 terms
e_447 is a consequence of e_209
e_21,e_477 are consequences of e_103

Substitution of q18 found in e_124 : 
q18=0


Step 1102: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1103: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1104: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1105: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 3 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 : shortening by 1 term

Step 1108: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1109: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

e_375 is a consequence of e_103.
e_376 is a consequence of e_103.
Substitution of q19 by an expression in 
q35, p7, p9 found in e_454 : 10 factors in 3 terms

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 : 
*** Garbage collection starting 
*** GC 893  2-Oct-2003 12:45:24, 50 ms (0%), 1063937 occupied, 23936010 free
 --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1111: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1112: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1113: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1114: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1115: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

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

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

The list of inequalities got extended by: 
An expression with 17 terms

e_541 is a consequence of e_415.
e_103 is a consequence of e_209.
e_103 is a consequence of e_415.
e_124 is a consequence of e_415.
e_520 is a consequence of e_209.
e_507 is a consequence of e_415.
e_521 is a consequence of e_415.
e_456 is a consequence of e_7.
e_456 is a consequence of e_415.
e_335 is a consequence of e_187.
e_335 is a consequence of e_415.
e_196 is a consequence of e_415.
e_197 is a consequence of e_415.
e_435 is a consequence of e_415.
e_247 is a consequence of e_415.
e_522 is a consequence of e_415.
e_327 is a consequence of e_415.
e_459 is a consequence of e_415.
e_458 is a consequence of e_415.
e_455 is a consequence of e_209.
e_447 is a consequence of e_415.
e_223 is a consequence of e_415.
e_512 is a consequence of e_415.
e_514 is a consequence of e_415.
e_506 is a consequence of e_415.
e_414 is a consequence of e_415.
e_497 is a consequence of e_415.
Substitution of q35 by an expression in 
q16, p7, p5, p1, p9 found in e_21 : 11 factors in 3 terms

Step 1117: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_141 is a consequence of e_525

Step 1118: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_107,e_330,e_510,e_398,e_422,e_368,e_13,e_438,e_274,e_68,e_7,e_187,e_56,e_209,
e_525 are consequences of e_527

Step 1119: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 6 terms

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

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

Substitution of q16 found in e_527 : 
q16=0


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 : 
The list of inequalities got extended by: 
An expression with 7 terms

Substitution of q31 by an expression in 
q4, p7, p3, p1, p9 found in e_495 : 9 factors in 3 terms

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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 894  2-Oct-2003 12:45:27, 40 ms (0%), 1060891 occupied, 23939056 free
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_54 we get the alternative equations : 
0=q1


0=p2 - p8


New level : 1.1.2.1.2.1.1.1.
CRACK is now called with the new equation e_537 : 
0=q1

e_357 is a consequence of e_537

Step 1122: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 6 terms

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

The list of inequalities got extended by: 
An expression with 6 terms

Substitution of q1 found in e_537 : 
q1=0


Step 1123: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_294,e_355 are consequences of e_465

Step 1124: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1125: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1126: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1127: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1128: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1129: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1130: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1131: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1132: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1133: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1134: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1135: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
*** Garbage collection starting 
*** GC 895  2-Oct-2003 12:45:30, 50 ms (0%), 1061018 occupied, 23938928 free

factorizing e_465 we get the alternative equations : 
0=p7


0=q4


New level : 1.1.2.1.2.1.1.1.1.
CRACK is now called with the new equation e_533 : 
0=p7

e_46,e_539,e_371 are consequences of e_533

Step 1137: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0060*p9 + g0061*p8


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

The list of inequalities got extended by: 

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q22,q4,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q4,q22,p8,p7,p5,p4,p3,p2,p1,p9
e_542 is a consequence of e_502

e_540 is a consequence of e_502.
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: q4,q22,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q4,q22,p7,p5,p4,p3,p2,p8,p1,p9
e_549,e_538 are consequences of e_547
e_546 is a consequence of e_105

Substitution of p7 found in e_533 : 
p7=0


leads to a contradiction in : 17 factors in 5 terms

Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q22,q4,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q22,q4,p8,p5,p4,p3,p2,p7,p1,p9

New level : 1.1.2.1.2.1.1.1.2.
CRACK is now called with the new equation e_533 : 
0=q4

e_548,e_276,e_538 are consequences of e_533

Step 1138: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 
An expression with 6 terms

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q22,q4,p8,p5,p4,p3,p2,p7,p1,p9
New ordering: q4,q22,p8,p5,p4,p3,p2,p7,p1,p9

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: q4,q22,p8,p5,p4,p3,p2,p7,p1,p9
New ordering: q4,q22,p5,p4,p3,p2,p8,p7,p1,p9

The list of inequalities got extended by: 
An expression with 3 terms

e_535 is a consequence of e_539.
Substitution of q4 found in e_533 : 
q4=0


Step 1139: 
Hot list 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: 

p9


The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

g0052*p7 + g0057*p8


Substitution of p9 by an expression in 
p8 found in e_539 : 
    1
p9=---*p8
    2


leads to a contradiction in : 
0=p8 - p9


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p2


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: q22,q4,q1,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q22,q4,q1,p7,p5,p4,p3,p8,p2,p1,p9

The list of inequalities got extended by: 

q1


New level : 1.1.2.1.2.1.1.2.
CRACK is now called with the new equation e_537 : 
0=p2 - p8

e_409,e_482,e_276 are consequences of e_537

Step 1140: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

1


The list of inequalities got extended by: 

p2


e_540 is a consequence of e_491.
e_543 is a consequence of e_491.
Substitution of p2 by an expression in 
p8 found in e_537 : 
p2=p8


Step 1141: 
Hot list 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: 

p9


The list of inequalities got extended by: 

g0060*p8 + g0061*p8 + g0062*p7


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_355,e_539 are consequences of e_504
e_528,e_480,e_501,e_504 are consequences of e_511

e_468 is a consequence of e_511.
e_515 is a consequence of e_511.
e_261 is a consequence of e_511.
Substitution of p9 by an expression in 
p8 found in e_538 : 
p9=p8


Step 1142: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q22,q4,q1,p7,p5,p4,p3,p8,p1
New ordering: q4,q22,q1,p7,p5,p4,p3,p8,p1

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: 

q4


Substitution of p7 found in e_511 : 
p7=0


leads to a contradiction in : 12 factors in 6 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q35,q31,q22,q19,q18,q16,q4,q1,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q35,q31,q22,q19,q18,q16,q4,q1,p7,p5,p4,p3,p2,p8,p1,p9

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

q18

The lexicographical ordering of unknowns is changed
because q18 has to be non-zero, giving q18 a low priority.
Old ordering: q35,q31,q22,q19,q18,q16,q4,q1,p7,p5,p4,p3,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q16,q4,q1,q18,p7,p5,p4,p3,p2,p8,p1,p9

New level : 1.1.2.1.2.1.2.
CRACK is now called with the new equation e_124 : 
0=p2 - p8

e_409,e_482,e_10,e_7,e_276,e_54 are consequences of e_124

Step 1143: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 

g0060*p9 + g0061*p2 + g0062*p7


The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 

1

e_357,e_477 are consequences of e_103

e_355 is a consequence of e_103.
e_196 is a consequence of e_105.
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,q31,q22,q19,q16,q4,q1,q18,p7,p5,p4,p3,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q16,q4,q1,q18,p5,p4,p3,p7,p2,p8,p1,p9

The list of inequalities got extended by: 

q16

The lexicographical ordering of unknowns is changed
because q16 has to be non-zero, giving q16 a low priority.
Old ordering: q35,q31,q22,q19,q16,q4,q1,q18,p5,p4,p3,p7,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q4,q1,q16,q18,p5,p4,p3,p7,p2,p8,p1,p9

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,q31,q22,q19,q4,q1,q16,q18,p5,p4,p3,p7,p2,p8,p1,p9
New ordering: q31,q22,q19,q4,q1,q35,q16,q18,p5,p4,p3,p7,p2,p8,p1,p9

The list of inequalities got extended by: 

q19

The lexicographical ordering of unknowns is changed
because q19 has to be non-zero, giving q19 a low priority.
Old ordering: q31,q22,q19,q4,q1,q35,q16,q18,p5,p4,p3,p7,p2,p8,p1,p9
New ordering: q31,q22,q4,q1,q19,q35,q16,q18,p5,p4,p3,p7,p2,p8,p1,p9

e_376 is a consequence of e_105.
e_81 is a consequence of e_105.
e_63 is a consequence of e_197.
e_247 is a consequence of e_13.
e_219 is a consequence of e_105.
e_503 is a consequence of e_502.
e_1 is a consequence of e_105.
e_531 is a consequence of e_502.
Substitution of p8 by an expression in 
p2 found in e_124 : 
p8=p2


Step 1144: 
Hot list 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: 

p9


The list of inequalities got extended by: 

g0060*p2 + g0061*p2 + g0062*p7


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_197 is a consequence of e_105.
Substitution of p9 by an expression in 
p2 found in e_103 : 
p9=p2


leads to a contradiction in : 
0=p2 - 2*p9


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q35,q31,q22,q21,q19,q18,q16,q4,q3,q1,p8,p7,p5,p4,p3,p2,p1,p9
New ordering: q35,q31,q22,q19,q18,q16,q4,q3,q1,q21,p8,p7,p5,p4,p3,p2,p1,p9

New level : 1.1.2.1.2.2.
CRACK is now called with the new equation e_507 : 
0=p4

e_90,e_433,e_449 are consequences of e_507

Step 1145: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0019*p5 + g0021*p3 + g0022*p1


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

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

Substitution of p4 found in e_507 : 
p4=0


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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 896  2-Oct-2003 12:45:34, 30 ms (0%), 1062307 occupied, 23937644 free
*** Garbage collection starting 
*** GC 897  2-Oct-2003 12:45:37, 40 ms (0%), 1052035 occupied, 23947915 free
*** Garbage collection starting 
*** GC 898  2-Oct-2003 12:45:40, 40 ms (0%), 1070909 occupied, 23929040 free
*** Garbage collection starting 
*** GC 899  2-Oct-2003 12:45:43, 30 ms (0%), 1045049 occupied, 23954901 free
*** Garbage collection starting 
*** GC 900  2-Oct-2003 12:45:46, 40 ms (0%), 1060281 occupied, 23939670 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_46 we get the alternative equations : 
0=q18


0=p2 - p8


New level : 1.1.2.1.2.2.1.
CRACK is now called with the new equation e_474 : 
0=q18

e_368,e_406,e_68,e_428,e_163,e_274,e_105,e_271 are consequences of e_474

Step 1147: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 15 terms

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

The list of inequalities got extended by: 
An expression with 18 terms
e_447 is a consequence of e_484
e_21 is a consequence of e_446

Substitution of q18 found in e_474 : 
q18=0


Step 1148: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1149: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1150: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1151: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1152: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1153: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1154: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1155: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

e_454 is a consequence of e_446.
e_18 is a consequence of e_446.
Substitution of q19 by an expression in 
q35, p7, p9 found in e_90 : 10 factors in 3 terms

Step 1156: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1157: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1158: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1159: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1160: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1161: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1162: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

The list of inequalities got extended by: 
An expression with 19 terms

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

e_422 is a consequence of e_449.
e_446 is a consequence of e_484.
e_446 is a consequence of e_449.
e_13 is a consequence of e_449.
e_196 is a consequence of e_484.
e_321 is a consequence of e_449.
e_197 is a consequence of e_449.
e_510 is a consequence of e_7.
e_510 is a consequence of e_449.
e_509 is a consequence of e_187.
e_509 is a consequence of e_449.
e_495 is a consequence of e_449.
e_331 is a consequence of e_449.
e_444 is a consequence of e_449.
e_455 is a consequence of e_449.
e_327 is a consequence of e_449.
e_497 is a consequence of e_449.
e_512 is a consequence of e_449.
e_511 is a consequence of e_449.
e_508 is a consequence of e_484.
e_103 is a consequence of e_449.
e_414 is a consequence of e_449.
e_224 is a consequence of e_449.
e_198 is a consequence of e_449.
e_87 is a consequence of e_449.
e_514 is a consequence of e_449.
e_107 is a consequence of e_449.
Substitution of q35 by an expression in 
q16, p7, p5, p1, p9 found in e_435 : 11 factors in 3 terms

Step 1163: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_330 is a consequence of e_375

Step 1164: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_465,e_513,e_17,e_415,e_459,e_477,e_448,e_438,e_21,e_124,e_7,e_187,e_56,e_484,
e_375 are consequences of e_408

Step 1165: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

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

The list of inequalities got extended by: 
An expression with 17 terms

Substitution of q16 found in e_408 : 
q16=0


Step 1166: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q3

from e_273 and e_451. e_451: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                                   2
 (q4,q3,q1,q21,p8,p7,p5,p3,p2,p1,p9 ,p9)

is replaced by e_502: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                                2
 (q4,q1,q21,p8,p7,p5,p3,p2,p1,p9 ,p9)


Step 1167: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 901  2-Oct-2003 12:45:49, 40 ms (0%), 1037416 occupied, 23962535 free
Eliminate 
q3

from e_273 and e_489. e_489: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                  2      2         2
 (q22,q3,q1,q21,p8 ,p8,p7 ,p7,p1,p9 ,p9)

is replaced by e_503: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

               2      2            2
 (q22,q1,q21,p8 ,p8,p7 ,p7,p5,p1,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q3

from e_273 and e_488. e_488: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                        2            2
 (q22,q4,q3,q1,q21,p8,p7 ,p7,p2,p1,p9 ,p9)

is replaced by e_175: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                     2               2
 (q22,q4,q1,q21,p8,p7 ,p7,p5,p2,p1,p9 ,p9)


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 :  --- 
Length reducing decoupling steps : Eliminate 
q3

from e_273 and e_487. e_487: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                 2      2         2
 (q22,q4,q3,q1,p8 ,p8,p7 ,p7,p2,p9 ,p9)

is replaced by e_1: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                  2      2            2
 (q22,q4,q1,q21,p8 ,p8,p7 ,p7,p5,p2,p9 ,p9)


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_54 we get the alternative equations : 
0=q1


0=p2 - p8


New level : 1.1.2.1.2.2.1.1.
CRACK is now called with the new equation e_335 : 
0=q1

e_357 is a consequence of e_335

Step 1171: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 8 terms

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

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

Substitution of q1 found in e_335 : 
q1=0


Step 1172: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1173: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1174: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms
e_223,e_273,e_354,e_68,e_163 are consequences of e_368

Step 1175: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0060*p9 + g0061*p8


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

The list of inequalities got extended by: 
An expression with 9 terms
e_469 is a consequence of e_52

The list of inequalities got extended by: 

q31

The lexicographical ordering of unknowns is changed
because q31 has to be non-zero, giving q31 a low priority.
Old ordering: q31,q22,q4,q3,q21,p8,p7,p5,p3,p2,p1,p9
New ordering: q22,q4,q3,q31,q21,p8,p7,p5,p3,p2,p1,p9

e_523 is a consequence of e_454.
e_522 is a consequence of e_52.
Substitution of p7 found in e_368 : 
p7=0


Step 1176: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

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

The list of inequalities got extended by: 
An expression with 9 terms

e_52 is a consequence of e_141.
e_195 is a consequence of e_276.
Substitution of q22 by an expression in 
q4 found in e_458 : 
q22=q4


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

The list of inequalities got extended by: 

q21


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

The list of inequalities got extended by: 
An expression with 9 terms

e_454 is a consequence of e_519.
*** Garbage collection starting 
*** GC 902  2-Oct-2003 12:45:53, 40 ms (0%), 1041011 occupied, 23958940 free

Substitution of q21 by an expression in 
q31, p1, p9 found in e_447 : 
     2*p9*q31
q21=----------
        p1


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 :  --- 
Length reducing decoupling steps : Eliminate 
p3

from e_506 and e_524. e_524: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

              2      2
 (q4,q31,p8,p3 ,p3,p1 ,p1,p9)

is replaced by e_510: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q4,q31,p8,p3,p1,p9)


Step 1179: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_276 and e_505. e_505: 
(#) 4 terms, 8 factors, with derivatives of functions of all variables: 

           2
 (q4,q31,p8 ,p8,p3,p2,p1,p9)

is replaced by e_509: 

0=p3*(p2 - p8)


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 :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_509 we get the alternative equations : 
0=p3


0=p2 - p8


New level : 1.1.2.1.2.2.1.1.1.
CRACK is now called with the new equation e_398 : 
0=p3

e_506 is a consequence of e_398

Step 1181: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0019*p5 + g0022*p1


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

Substitution of p3 found in e_398 : 
p3=0


Step 1182: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_276 we get the alternative equations : 
0=q4


0=p2 - p8


New level : 1.1.2.1.2.2.1.1.1.1.
CRACK is now called with the new equation e_21 : 
0=q4

e_518,e_520,e_141,e_376 are consequences of e_21

Step 1183: 
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 4 terms

Substitution of q4 found in e_21 : 
q4=0


leads to a contradiction in : 8 factors in 3 terms

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: q4,q3,q31,p8,p5,p2,p1,p9
New ordering: q4,q3,q31,p5,p2,p8,p1,p9

The list of inequalities got extended by: 

q4

The lexicographical ordering of unknowns is changed
because q4 has to be non-zero, giving q4 a low priority.
Old ordering: q4,q3,q31,p5,p2,p8,p1,p9
New ordering: q3,q4,q31,p5,p2,p8,p1,p9

The list of inequalities got extended by: 

p2


New level : 1.1.2.1.2.2.1.1.1.2.
CRACK is now called with the new equation e_21 : 
0=p2 - p8


Step 1184: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 

p8


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

The list of inequalities got extended by: 

g0060*p9 + g0061*p2


The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 

1


e_459 is a consequence of e_477.
e_408 is a consequence of e_448.
e_451 is a consequence of e_465.
e_489 is a consequence of e_465.
Substitution of p8 by an expression in 
p2 found in e_21 : 
p8=p2


Step 1185: 
Hot list 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: 

p9


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 p9 by an expression in 
p2 found in e_438 : 
       1
p9= - ---*p2
       3


leads to a contradiction in : 
0=p2 - p9


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p3

The lexicographical ordering of unknowns is changed
because p3 has to be non-zero, giving p3 a low priority.
Old ordering: q4,q3,q31,p8,p5,p3,p2,p1,p9
New ordering: q4,q3,q31,p8,p5,p2,p3,p1,p9

New level : 1.1.2.1.2.2.1.1.2.
CRACK is now called with the new equation e_398 : 
0=p2 - p8

e_276 is a consequence of e_398

Step 1186: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0060*p9 + g0061*p2


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

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

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

e_330 is a consequence of e_449.
The list of inequalities got extended by: 

q4

The lexicographical ordering of unknowns is changed
because q4 has to be non-zero, giving q4 a low priority.
Old ordering: q4,q3,q31,p8,p5,p2,p3,p1,p9
New ordering: q3,q4,q31,p8,p5,p2,p3,p1,p9

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q3,q4,q31,p8,p5,p2,p3,p1,p9
New ordering: q3,q4,q31,p5,p8,p2,p3,p1,p9

e_518 is a consequence of e_376.
e_56 is a consequence of e_484.
e_187 is a consequence of e_484.
Substitution of p8 by an expression in 
p2 found in e_398 : 
p8=p2


Step 1187: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

1


The list of inequalities got extended by: 

p9


The list of inequalities got extended by: 
An expression with 7 terms

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

The list of inequalities got extended by: 
An expression with 7 terms

e_449 is a consequence of e_375.
e_247 is a consequence of e_375.
Substitution of p9 by an expression in 
p2 found in e_376 : 
p9=p2


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p2


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: q31,q22,q4,q3,q1,q21,p8,p7,p5,p3,p2,p1,p9
New ordering: q31,q22,q4,q3,q1,q21,p7,p5,p3,p8,p2,p1,p9

The list of inequalities got extended by: 

q1


New level : 1.1.2.1.2.2.1.2.
CRACK is now called with the new equation e_335 : 
0=p2 - p8

e_485,e_409,e_276 are consequences of e_335

Step 1188: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

1

e_273 is a consequence of e_354

e_456 is a consequence of e_354.
e_505 is a consequence of e_354.
e_52 is a consequence of e_494.
e_454 is a consequence of e_494.
Substitution of p2 by an expression in 
p8 found in e_335 : 
p2=p8


Step 1189: 
Hot list 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: 

p9


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

The list of inequalities got extended by: 

g0060*p8 + g0061*p8 + g0062*p7


The list of inequalities got extended by: 
An expression with 14 terms
e_483,e_480,e_195,e_501,e_18 are consequences of e_515

e_517 is a consequence of e_515.
e_518 is a consequence of e_515.
e_525 is a consequence of e_515.
Substitution of p9 by an expression in 
p8 found in e_141 : 
p9=p8


Step 1190: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

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

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

The list of inequalities got extended by: 

q31

The lexicographical ordering of unknowns is changed
because q31 has to be non-zero, giving q31 a low priority.
Old ordering: q31,q22,q4,q3,q1,q21,p7,p5,p3,p8,p1
New ordering: q22,q4,q3,q31,q1,q21,p7,p5,p3,p8,p1

The list of inequalities got extended by: 

q22

The lexicographical ordering of unknowns is changed
because q22 has to be non-zero, giving q22 a low priority.
Old ordering: q22,q4,q3,q31,q1,q21,p7,p5,p3,p8,p1
New ordering: q4,q3,q22,q31,q1,q21,p7,p5,p3,p8,p1

The list of inequalities got extended by: 

q4

The lexicographical ordering of unknowns is changed
because q4 has to be non-zero, giving q4 a low priority.
Old ordering: q4,q3,q22,q31,q1,q21,p7,p5,p3,p8,p1
New ordering: q3,q4,q22,q31,q1,q21,p7,p5,p3,p8,p1

e_433 is a consequence of e_520.
e_458 is a consequence of e_521.
e_507 is a consequence of e_522.
Substitution of p7 found in e_515 : 
p7=0


Step 1191: 
Hot list 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: 

q22


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

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

e_469 is a consequence of e_522.
Substitution of q22 by an expression in 
q4 found in e_520 : 
q22=q4


Step 1192: 
Hot list 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: 

q31


e_516 is a consequence of e_522.
Substitution of q31 by an expression in 
q4 found in e_521 : 
q31=q4


Step 1193: 
Hot list 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: 

q1


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

The list of inequalities got extended by: 

p3


Substitution of q1 by an expression in 
q4 found in e_523 : 
q1=q4


Step 1194: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0019*p5 + g0021*p3 + g0022*p3


The list of inequalities got extended by: 

p1


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

e_522 is a consequence of e_90.e_526 is a consequence of e_522

e_524 is a consequence of e_519.
Substitution of p1 by an expression in 
p3 found in e_223 : 
p1=p3


Step 1195: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 

q21


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

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

e_519 is a consequence of e_354.
Substitution of q21 by an expression in 
q4, p3, p8 found in e_90 : 
     2*p8*q4
q21=---------
       p3


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

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

Substitution of q3 by an expression in 
q4, p5, p3 found in e_354 : 
    2*p5*q4
q3=---------
      p3



>>>>>>>>> Solution of level 1.1.2.1.2.2.1.2. : 
no equations


Non-vanishing expressions: p1,q31,q4,p2,p8,p9,q22,q1,p3,q21

2*g0029*p3 + g0030*p8 + 2*g0031*p3 + 2*g0032*p3 + g0039*p3 + 2*g0040*p5

 - g0041*p3 + g0042*p3


g0006*p3*q4 + 2*g0007*p8*q4 + g0012*p3*q4 + 2*g0013*p5*q4 - g0014*p3*q4

 + g0015*p3*q4 + g0016*p3*p8 + g0017*p3*p5


g0019*p5 + g0021*p3 + g0022*p3


g0048*p3 + g0049*p8 + g0057*p3 + 2*g0058*p8


functions : 
q36=0


q35=0


q34=0


q33=0


q32=0


q31=q4


     p8*q4
q30=-------
      p3


q29=0


q28=0


q27=0


q26=0


q25=0


q24=0


q23=0


q22=q4


     2*p8*q4
q21=---------
       p3


q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=2*q4


     p8*q4
q13=-------
      p3


q12=2*q4


q11=2*q4


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0

q4, 
    2*p5*q4
q3=---------
      p3


q2= - q4


q1=q4


p10=0


p9=p8

p8, 
p7=0


p6=0

p5, 
p4=0

p3, 
p2=p8


p1=p3


with 60 terms
no equations
4 constants : p3,p5,p8,q4
The system: 

b(1) =Db(2)*Db(1)*p8 + b(1) *b(2)*p8
    t                      x

                                                              2
b(2) =Db(1) *Db(1)*p5 + b(2) *b(2)*p8 + b(1)  *b(1)*p3 + b(1)  *p3
    t      x                x               2x               x
The symmetry: 
                                                                 2
b(1) =(2*Db(2)*Db(1)*b(2)*p8*q4 + Db(1) *Db(1)*b(1)*p3*q4 + b(1)  *b(1)*p3*q4
    s                                  x                        x

                    2
        + b(1) *b(2) *p8*q4)/p3
              x

b(2) =(Db(2)*Db(1)*b(1) *p3*q4 + Db(2) *Db(1)*b(1)*p3*q4
    s                  x              x

        - Db(1) *Db(2)*b(1)*p3*q4 + 2*Db(1) *Db(1)*b(2)*p5*q4
               x                           x

                    2
        + b(2) *b(2) *p8*q4 + 2*b(2) *b(1) *b(1)*p3*q4
              x                     x     x

                                            2
        + 2*b(1)  *b(2)*b(1)*p3*q4 + 2*b(1)  *b(2)*p3*q4)/p3
                2x                         x
And now in machine readable form:

The system: 

df(b(1),t)=d(1,b(2))*d(1,b(1))*p8 + df(b(1),x)*b(2)*p8$

df(b(2),t)=d(1,df(b(1),x))*d(1,b(1))*p5 + df(b(2),x)*b(2)*p8 + df(b(1),x,2)*b(1)
*p3 + df(b(1),x)**2*p3$
The symmetry: 
df(b(1),s)=(2*d(1,b(2))*d(1,b(1))*b(2)*p8*q4 + d(1,df(b(1),x))*d(1,b(1))*b(1)*p3
*q4 + df(b(1),x)**2*b(1)*p3*q4 + df(b(1),x)*b(2)**2*p8*q4)/p3$

df(b(2),s)=(d(1,b(2))*d(1,b(1))*df(b(1),x)*p3*q4 + d(1,df(b(2),x))*d(1,b(1))*b(1
)*p3*q4 - d(1,df(b(1),x))*d(1,b(2))*b(1)*p3*q4 + 2*d(1,df(b(1),x))*d(1,b(1))*b(2
)*p5*q4 + df(b(2),x)*b(2)**2*p8*q4 + 2*df(b(2),x)*df(b(1),x)*b(1)*p3*q4 + 2*df(b
(1),x,2)*b(2)*b(1)*p3*q4 + 2*df(b(1),x)**2*b(2)*p3*q4)/p3$

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 30 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q35,q31,q22,q19,q18,q16,q4,q3,q1,q21,p8,p7,p5,p3,p2,p1,p9
New ordering: q35,q31,q22,q19,q18,q16,q4,q3,q1,q21,p7,p5,p3,p2,p8,p1,p9

The list of inequalities got extended by: 

p2


The list of inequalities got extended by: 

q18

The lexicographical ordering of unknowns is changed
because q18 has to be non-zero, giving q18 a low priority.
Old ordering: q35,q31,q22,q19,q18,q16,q4,q3,q1,q21,p7,p5,p3,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q16,q4,q3,q1,q18,q21,p7,p5,p3,p2,p8,p1,p9

New level : 1.1.2.1.2.2.2.
CRACK is now called with the new equation e_474 : 
0=p2 - p8

e_485,e_409,e_10,e_7,e_276,e_54 are consequences of e_474

Step 1197: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 

g0060*p9 + g0061*p2 + g0062*p7


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

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

The list of inequalities got extended by: 

1

e_357,e_446 are consequences of e_444

e_448 is a consequence of e_444.
e_497 is a consequence of e_105.
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,q31,q22,q19,q16,q4,q3,q1,q18,q21,p7,p5,p3,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q16,q4,q3,q1,q18,q21,p5,p3,p7,p2,p8,p1,p9

The list of inequalities got extended by: 

q16

The lexicographical ordering of unknowns is changed
because q16 has to be non-zero, giving q16 a low priority.
Old ordering: q35,q31,q22,q19,q16,q4,q3,q1,q18,q21,p5,p3,p7,p2,p8,p1,p9
New ordering: q35,q31,q22,q19,q4,q3,q1,q16,q18,q21,p5,p3,p7,p2,p8,p1,p9

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,q31,q22,q19,q4,q3,q1,q16,q18,q21,p5,p3,p7,p2,p8,p1,p9
New ordering: q31,q22,q19,q4,q3,q1,q35,q16,q18,q21,p5,p3,p7,p2,p8,p1,p9

The list of inequalities got extended by: 

q19

The lexicographical ordering of unknowns is changed
because q19 has to be non-zero, giving q19 a low priority.
Old ordering: q31,q22,q19,q4,q3,q1,q35,q16,q18,q21,p5,p3,p7,p2,p8,p1,p9
New ordering: q31,q22,q4,q3,q1,q19,q35,q16,q18,q21,p5,p3,p7,p2,p8,p1,p9

e_455 is a consequence of e_105.
e_81 is a consequence of e_105.
e_63 is a consequence of e_415.
e_456 is a consequence of e_331.
e_219 is a consequence of e_105.
e_330 is a consequence of e_105.
e_288 is a consequence of e_273.
e_261 is a consequence of e_273.
e_87 is a consequence of e_273.
e_13 is a consequence of e_421.
e_505 is a consequence of e_421.
Substitution of p8 by an expression in 
p2 found in e_474 : 
p8=p2


Step 1198: 
Hot list 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: 

p9


The list of inequalities got extended by: 

g0060*p2 + g0061*p2 + g0062*p7


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

The list of inequalities got extended by: 
An expression with 17 terms

e_415 is a consequence of e_105.
Substitution of p9 by an expression in 
p2 found in e_444 : 
p9=p2


leads to a contradiction in : 
0=p2 - 2*p9


This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 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: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p6,p5,p4,p3,
p2,p1,p9
New ordering: q35,q34,q32,q31,q22,q21,q19,q18,q16,q4,q3,q2,q1,p8,p7,p5,p4,p3,p2,
p1,p6,p9

New level : 1.1.2.2.
CRACK is now called with the new equation e_501 : 
0=q34

e_163,e_195,e_141,e_175,e_1 are consequences of e_501

Step 1199: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 27 terms

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

The list of inequalities got extended by: 
An expression with 16 terms
*** Garbage collection starting 
*** GC 903  2-Oct-2003 12:45:56, 40 ms (0%), 1046250 occupied, 23953702 free

Substitution of q34 found in e_501 : 
q34=0


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

The list of inequalities got extended by: 
An expression with 16 terms

Substitution of q35 by an expression in 
q19 found in e_197 : 
q35=q19


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

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

The list of inequalities got extended by: 
An expression with 16 terms

e_444 is a consequence of e_187.
e_445 is a consequence of e_7.
Substitution of q18 by an expression in 
q16 found in e_196 : 
     5
q18=---*q16
     2


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

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

The list of inequalities got extended by: 
An expression with 15 terms

e_332 is a consequence of e_437.e_446 is a consequence of e_209

e_461 is a consequence of e_437.
e_462 is a consequence of e_187.
e_463 is a consequence of e_7.
e_372 is a consequence of e_437.
e_321 is a consequence of e_437.
Substitution of q19 by an expression in 
q16 found in e_435 : 
        3
q19= - ---*q16
        2


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

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

The list of inequalities got extended by: 
An expression with 16 terms

e_484 is a consequence of e_7.
e_485 is a consequence of e_7.
e_489 is a consequence of e_437.
e_490 is a consequence of e_437.
e_491 is a consequence of e_437.
e_495 is a consequence of e_7.
e_496 is a consequence of e_7.
e_500 is a consequence of e_437.
e_221 is a consequence of e_437.
e_1 is a consequence of e_437.
Substitution of q21 by an expression in 
q16, p7, p2, p6 found in e_320 : 8 factors in 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 : shortening by 1 term

Step 1205: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_447,e_81,e_497,e_547 are consequences of e_329

Step 1206: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1207: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1208: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1209: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1210: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1211: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 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 1 term

Step 1213: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1214: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1215: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1216: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1217: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1218: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1219: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1220: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1221: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1222: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1223: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1224: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1225: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1226: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1227: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1228: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1229: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1230: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1231: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1232: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1233: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1234: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1235: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1236: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1237: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1238: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1239: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1240: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1241: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1242: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1243: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1244: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1245: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 3 terms

Step 1247: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1248: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1249: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 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 : shortening by 4 terms

e_542 is a consequence of e_540.
Step 1251: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_543 is a consequence of e_187.
Step 1252: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1253: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 904  2-Oct-2003 12:45:59, 40 ms (0%), 1077156 occupied, 23922796 free
shortening by 1 term

Step 1254: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1255: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1256: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1257: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1258: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1259: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1260: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1261: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_544 is a consequence of e_486

Step 1262: 
Hot list 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 15 terms

e_476 is a consequence of e_437.
e_466 is a consequence of e_437.
Substitution of q3 found in e_486 : 
q3=0


Step 1263: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1264: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1265: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1266: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1267: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1268: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1269: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

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

The list of inequalities got extended by: 
An expression with 16 terms

e_105 is a consequence of e_437.
e_514 is a consequence of e_7.
Substitution of q2 by an expression in 
q16, p8, p1, p6, p9 found in e_462 : 13 factors in 3 terms

Step 1270: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1271: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1272: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1273: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms

Step 1275: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1276: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

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

The list of inequalities got extended by: 
An expression with 17 terms

Substitution of q22 by an expression in 
q16, p8, p1, p6, p9 found in e_508 : 13 factors in 3 terms

Step 1277: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1278: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

e_507 is a consequence of e_437.
Step 1279: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 1280: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1281: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1282: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1283: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1284: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1285: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1286: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1287: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1288: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1289: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1290: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1291: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1292: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1293: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_542 is a consequence of e_437.
Step 1294: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_219 is a consequence of e_437.
Step 1295: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1296: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1297: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1298: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1299: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1300: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1301: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1302: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1303: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1304: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1305: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1306: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1307: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1308: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1309: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1310: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_14,e_547,e_332 are consequences of e_435

Step 1311: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

Substitution of q32 found in e_435 : 
q32=0


Step 1312: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1313: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1314: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1315: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 : 
The list of inequalities got extended by: 
An expression with 23 terms

e_541 is a consequence of e_437.
Substitution of q31 by an expression in 
q16, p8, p1, p6, p9 found in e_422 : 13 factors in 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 : shortening by 2 terms

Step 1318: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1319: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1320: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1321: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 7 terms

Step 1322: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

The list of inequalities got extended by: 
An expression with 18 terms

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

q16

The lexicographical ordering of unknowns is changed
because q16 has to be non-zero, giving q16 a low priority.
Old ordering: q16,q4,q1,p8,p7,p5,p4,p3,p2,p1,p6,p9
New ordering: q4,q1,q16,p8,p7,p5,p4,p3,p2,p1,p6,p9

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: q4,q1,q16,p8,p7,p5,p4,p3,p2,p1,p6,p9
New ordering: q4,q1,q16,p7,p5,p4,p3,p2,p1,p8,p6,p9

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: q4,q1,q16,p7,p5,p4,p3,p2,p1,p8,p6,p9
New ordering: q4,q1,q16,p5,p4,p3,p2,p1,p7,p8,p6,p9

The list of inequalities got extended by: 

p2

The lexicographical ordering of unknowns is changed
because p2 has to be non-zero, giving p2 a low priority.
Old ordering: q4,q1,q16,p5,p4,p3,p2,p1,p7,p8,p6,p9
New ordering: q4,q1,q16,p5,p4,p3,p1,p2,p7,p8,p6,p9

e_502 is a consequence of e_520.
e_502 is a consequence of e_7.
Substitution of q4 by an expression in 
q16, p1, p8, p6, p9 found in e_523 : 13 factors in 3 terms

Step 1324: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p7=0

because of the non-vanishing expression:
p7


This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 90 ms
*** Garbage collection starting 
*** GC 905  2-Oct-2003 12:46:02, 50 ms (0%), 1092195 occupied, 23907757 free

The list of inequalities got extended by: 

p10

The lexicographical ordering of unknowns is changed
because p10 has to be non-zero, giving p10 a low priority.
Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,
q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8,p7,
p6,p5,p4,p3,p2,p1
New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,
q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p9,p8,p7,p6,
p5,p4,p3,p2,p1,p10

New level : 1.2.
CRACK is now called with the new equation e_322 : 
0=q19

e_63,e_10,e_307 are consequences of e_322

Step 1325: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 18 terms

Substitution of q19 found in e_322 : 
q19=0


Step 1326: 
Hot list 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 17 terms

e_65 is a consequence of e_92.e_54 is a consequence of e_23

Substitution of q16 found in e_297 : 
q16=0


Step 1327: 
Hot list 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 16 terms
e_281 is a consequence of e_308

Substitution of q18 found in e_92 : 
q18=0


Step 1328: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

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

Substitution of q33 found in e_157 : 
q33=0


Step 1329: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 9 terms

e_106 is a consequence of e_226.
Substitution of q35 found in e_107 : 
q35=0


Step 1330: 
Hot list 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 8 terms

e_32 is a consequence of e_308.
e_74 is a consequence of e_308.
Substitution of q1 found in e_23 : 
q1=0


Step 1331: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

The list of inequalities got extended by: 
An expression with 7 terms
e_276 is a consequence of e_201

e_186 is a consequence of e_160.
e_190 is a consequence of e_201.
Substitution of q2 found in e_308 : 
q2=0


Step 1332: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

The list of inequalities got extended by: 
An expression with 6 terms

Substitution of q4 found in e_201 : 
q4=0


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

e_142 is a consequence of e_226.
e_78 is a consequence of e_47.
e_240 is a consequence of e_274.
Substitution of q36 by an expression in 
q20 found in e_11 : 
q36=q20


Step 1334: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

e_202 is a consequence of e_58.
e_210 is a consequence of e_58.e_280 is a consequence of e_182

Substitution of q23 by an expression in 
q5 found in e_274 : 
q23=q5


Step 1335: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

Substitution of q27 by an expression in 
q10 found in e_182 : 
q27=q10


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

e_304 is a consequence of e_207.
e_155 is a consequence of e_122.
Substitution of q6 by an expression in 
q24, p6, p10 found in e_30 : 
    p6*q24
q6=--------
     p10


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 : 
The list of inequalities got extended by: 
An expression with 6 terms

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

Substitution of q3 by an expression in 
q24, p5, p10 found in e_129 : 
    p5*q24
q3=--------
     p10


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

The list of inequalities got extended by: 
An expression with 6 terms

Substitution of q21 by an expression in 
q24, p9, p10 found in e_207 : 
     p9*q24
q21=--------
      p10


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

The list of inequalities got extended by: 
An expression with 6 terms

e_313 is a consequence of e_316.
e_205 is a consequence of e_316.
e_163 is a consequence of e_316.
Substitution of q22 by an expression in 
q25, p9, p10 found in e_131 : 
     p9*q25
q22=--------
      p10


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 : 
*** Garbage collection starting 
*** GC 906  2-Oct-2003 12:46:05, 40 ms (0%), 1109226 occupied, 23890725 free

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

Substitution of q13 by an expression in 
q26, p7, p2, p10 found in e_116 : 10 factors in 3 terms

Step 1341: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

Substitution of q32 by an expression in 
q24, q15, p4, p10 found in e_4 : 10 factors in 3 terms

Step 1342: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 
An expression with 15 terms

Substitution of q15 by an expression in 
q29, q24, q11, p7, p4, p1, p10 found in e_55 : 12 factors in 4 terms

Step 1343: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

e_211 is a consequence of e_278.
Substitution of q14 by an expression in 
q24, q11, p3, p1, p10 found in e_108 : 12 factors in 4 terms

Step 1344: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

e_219 is a consequence of e_71.
Substitution of q30 by an expression in 
q29, q24, p8, p7, p10 found in e_243 : 14 factors in 4 terms

Step 1345: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

Substitution of q9 by an expression in 
q20, q8, p8, p7, p10 found in e_29 : 11 factors in 4 terms

Step 1346: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

Substitution of q25 by an expression in 
q20, q7, q5, p7, p10 found in e_282 : 10 factors in 4 terms

Step 1347: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

Substitution of q8 by an expression in 
q24, q20, p8, p7, p6, p10 found in e_334 : 14 factors in 4 terms

Step 1348: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 10 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

Substitution of q7 by an expression in 
q26, q24, q20, q5, p6, p2, p10 found in e_277 : 13 factors in 5 terms

Step 1349: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 907  2-Oct-2003 12:46:08, 50 ms (0%), 1148798 occupied, 23851151 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1350: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_324 is a consequence of e_408.
Step 1351: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1352: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1353: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1354: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1355: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1356: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1357: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_243 is a consequence of e_47.
Step 1358: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1359: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1360: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_354 is a consequence of e_344.
Step 1361: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1362: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1363: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1364: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1365: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1366: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1367: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1368: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1369: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1370: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1371: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1372: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1373: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1374: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1375: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1376: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1377: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1378: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1379: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_385 is a consequence of e_24.
Step 1380: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_386 is a consequence of e_344.
Step 1381: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1382: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_389 is a consequence of e_344.
Step 1383: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1384: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1385: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1386: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1387: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1388: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1389: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1390: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1391: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1392: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1393: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1394: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1395: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1396: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1397: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1398: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1399: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1400: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1401: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_32 is a consequence of e_106.
Step 1402: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_74 is a consequence of e_106.
Step 1403: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1404: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1405: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1406: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1407: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1408: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1409: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 2 terms

Step 1411: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1412: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 : shortening by 2 terms

Step 1414: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1415: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 2 terms

Step 1417: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1418: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 1419: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 1420: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1421: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_354 is a consequence of e_129.
Step 1422: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_192 is a consequence of e_129.
Step 1423: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1424: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1425: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1426: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1427: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1428: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 1 term

Step 1431: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1432: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1433: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1434: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1435: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1436: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1437: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_388 is a consequence of e_387.
Step 1438: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1439: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_379 is a consequence of e_386.
Step 1440: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1441: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : 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 : shortening by 1 term

Step 1444: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1445: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1446: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1447: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1448: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1449: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 1 term

e_107 is a consequence of e_378.
Step 1451: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 : shortening by 1 term

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 2 terms

Step 1454: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1455: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1456: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1457: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1458: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1459: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1460: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 908  2-Oct-2003 12:46:11, 40 ms (0%), 1142000 occupied, 23857949 free
shortening by 1 term

Step 1461: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1462: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1463: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1464: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1465: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

Substitution of q28 by an expression in 
q26, q24, q20, p8, p7, p6, p10 found in e_277 : 17 factors in 5 terms

Step 1466: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 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 : shortening by 2 terms

Step 1468: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_417 is a consequence of e_387.
Step 1469: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_424 is a consequence of e_387.
Step 1470: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1471: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1472: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1473: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 29 terms

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

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

Substitution of q5 by an expression in 
q26, q24, q20, p8, p7, p6, p10 found in e_409 : 17 factors in 5 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 : shortening by 2 terms

Step 1475: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_392 is a consequence of e_387.
Step 1476: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1477: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1478: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1479: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1480: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1481: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1482: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1483: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_146 and e_25. e_25: 

0=(3*q24 - q26)*p5

is replaced by e_74: 

0=p5*q24

e_397,e_387,e_324 are consequences of e_74

Step 1484: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_289 is a consequence of e_106.
Step 1485: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1486: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1487: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_369 is a consequence of e_74.
Step 1488: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_385 is a consequence of e_74.
Step 1489: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1490: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1491: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1492: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1493: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1494: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_74 and e_352. e_352: 

0=(q24 + q34)*p5

is replaced by e_440: 

0=p5*q34


Step 1495: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_440 and e_72. e_72: 

0=(q26 - q34)*p5

is replaced by e_375: 

0=p5*q26


e_375 is a consequence of e_146.
Step 1496: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_440 and e_292. e_292: 

0=(2*q26 - q34)*p5

is replaced by e_413: 

0=p5*q26


e_413 is a consequence of e_146.
Step 1497: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_394 and e_444. e_394: 

0=(q11 + 6*q31)*p5

is replaced by e_277: 

0=p5*q11

e_405 is a consequence of e_277

Step 1498: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 909  2-Oct-2003 12:46:14, 50 ms (0%), 1222047 occupied, 23777020 free
Eliminate 
q11

from e_277 and e_444. e_444: 

0=(q11 - 2*q31)*p5

is replaced by e_192: 

0=p5*q31


Step 1499: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_192 and e_155. e_155: 

0=(q12 - 2*q31)*p5

is replaced by e_357: 

0=p5*q12


Step 1500: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_440 and e_256. e_256: 

0=(q24 + q26 - q34)*p5

is replaced by e_182: 

0=(q24 + q26)*p5


Step 1501: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_74 and e_182. e_182: 

0=(q24 + q26)*p5

is replaced by e_210: 

0=p5*q26


e_210 is a consequence of e_146.
Step 1502: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_386 and e_434. e_434: 

0=(89*q24 - 24*q26)*p9*p6

is replaced by e_403: 

0=p6*p9*q24


e_403 is a consequence of e_106.
Step 1503: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_386 and e_445. e_445: 

0=(217*q24 - 60*q26)*p9*p6

is replaced by e_415: 

0=p6*p9*q24


e_415 is a consequence of e_106.
Step 1504: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_386 and e_129. e_129: 

0=(q24 + 10*q26)*p9*p6

is replaced by e_115: 

0=p6*p9*q24


e_115 is a consequence of e_106.
Step 1505: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_386 and e_304. e_304: 

0=(q24 + 2*q26)*p9*p6

is replaced by e_390: 

0=p6*p9*q24


e_390 is a consequence of e_106.
Step 1506: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 910  2-Oct-2003 12:46:17, 50 ms (0%), 1156813 occupied, 23843133 free
A length reducing simplification (27) was prevented
to avoid a cycle.
Eliminate 
q24

from e_332 and e_337. e_337: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

            2      2
 (q24,q20,p8 ,p8,p7 ,p7,p6,p2)

is replaced by e_416: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

        2      2
 (q20,p8 ,p8,p7 ,p7,p2)


Step 1507: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 911  2-Oct-2003 12:46:21, 50 ms (0%), 1167519 occupied, 23832429 free
Eliminate 
q24

from e_332 and e_362. e_362: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                2      2
 (q29,q24,q20,p8 ,p8,p7 ,p7,p6,p10)

is replaced by e_120: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

            2      2
 (q29,q20,p8 ,p8,p7 ,p7,p6,p10)


Step 1508: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_231 and e_110. e_231: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                          2
 (q29,q24,q11,p7,p6,p1,p10 ,p10)

is replaced by e_417: 

0=p1*q24 - p10*q11


Step 1509: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

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

e_277 is a consequence of e_74.
e_370 is a consequence of e_373.
e_382 is a consequence of e_326.
e_384 is a consequence of e_122.
e_358 is a consequence of e_122.
Substitution of q11 by an expression in 
q24, p1, p10 found in e_417 : 
     p1*q24
q11=--------
      p10


Step 1510: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1511: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1512: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_122 and e_56. e_56: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                2
 (q29,q26,q24,p8 ,p8,p7,p2,p10)

is replaced by e_274: 
(#) 8 terms, 10 factors, with derivatives of functions of all variables: 

            2         2
 (q26,q24,p8 ,p8,p7,p2 ,p2)


Step 1513: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 912  2-Oct-2003 12:46:24, 50 ms (0%), 1202604 occupied, 23796747 free
Eliminate 
q24

from e_332 and e_308. e_332: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q24,q20,p8,p7,p6)

is replaced by e_148: 
(#) 3 terms, 4 factors, with derivatives of functions of all variables: 

 (q20,p8,p7,p2)


Step 1514: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1515: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

Step 1516: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1517: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 913  2-Oct-2003 12:46:27, 50 ms (0%), 1193484 occupied, 23806091 free
Eliminate 
q26

from e_184 and e_92. e_92: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                      2
 (q26,q24,q20,p8,p7,p6 ,p6,p3,p1,p10)

is replaced by e_387: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p1,p10)


Step 1518: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_365. e_365: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                    2
 (q29,q26,q24,q20,p8 ,p8,p7,p6,p2,p10)

is replaced by e_397: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                2
 (q26,q24,q20,p8 ,p8,p7,p6,p2)


Step 1519: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_397. e_397: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                2
 (q26,q24,q20,p8 ,p8,p7,p6,p2)

is replaced by e_344: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

            2      2
 (q24,q20,p8 ,p8,p7 ,p7,p6,p2)


Step 1520: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1521: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1522: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 914  2-Oct-2003 12:46:31, 40 ms (0%), 1168414 occupied, 23831534 free
Eliminate 
q24

from e_308 and e_289. e_289: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

            2      2
 (q24,q20,p8 ,p8,p7 ,p7,p6,p2)

is replaced by e_273: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

        2      2      2
 (q20,p8 ,p8,p7 ,p7,p2 ,p2)


Step 1523: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1524: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_388. e_388: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                    2            2
 (q29,q26,q24,q20,p8 ,p8,p7,p6,p2 ,p2,p10)

is replaced by e_404: 
(#) 10 terms, 12 factors, with derivatives of functions of all variables: 

                2            2
 (q26,q24,q20,p8 ,p8,p7,p6,p2 ,p2)


Step 1525: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1526: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_401. e_401: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                2
 (q26,q24,q20,p8 ,p8,p7,p6,p2)

is replaced by e_369: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

            2
 (q24,q20,p8 ,p8,p7,p6,p2)


Step 1527: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1528: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_214. e_214: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

            2
 (q24,q20,p8 ,p8,p7,p6,p2)

is replaced by e_385: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

        2         2
 (q20,p8 ,p8,p7,p2 ,p2)


Step 1529: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_368. e_368: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                    2            2
 (q29,q26,q24,q20,p8 ,p8,p7,p6,p2 ,p2,p10)

is replaced by e_202: 
(#) 10 terms, 12 factors, with derivatives of functions of all variables: 

                2            2
 (q26,q24,q20,p8 ,p8,p7,p6,p2 ,p2)


Step 1530: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1531: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_211. e_211: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                2
 (q26,q24,q20,p8 ,p8,p7,p6,p2)

is replaced by e_350: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

            2
 (q24,q20,p8 ,p8,p7,p6,p2)


Step 1532: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1533: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_55. e_55: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

            2
 (q24,q20,p8 ,p8,p7,p6,p2)

is replaced by e_340: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

        2         2
 (q20,p8 ,p8,p7,p2 ,p2)


Step 1534: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 915  2-Oct-2003 12:46:34, 50 ms (0%), 1161830 occupied, 23838117 free
Eliminate 
q29

from e_122 and e_400. e_400: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                                2
 (q29,q26,q24,p8,p7,p4,p2,p1,p10 ,p10)

is replaced by e_378: 
(#) 8 terms, 11 factors, with derivatives of functions of all variables: 

            2         2
 (q26,q24,p8 ,p8,p7,p2 ,p2,p1)


e_378 is a consequence of e_274.
Step 1535: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_324. e_324: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                                2
 (q31,q26,q24,q20,p8,p7,p6,p4,p3 ,p3,p10)

is replaced by e_419: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                         2
 (q31,q24,q20,p8,p7,p4,p3 ,p3,p10)


Step 1536: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_282. e_282: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                      2
 (q26,q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_406: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)


Step 1537: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_406. e_406: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_439: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q20,p8,p7,p6,p3,p2,p1,p10)


Step 1538: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_29. e_29: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                      2
 (q26,q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_352: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)


Step 1539: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_352. e_352: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_278: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q20,p8,p7,p6,p3,p2,p1,p10)


Step 1540: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : A length reducing simplification (27
) was prevented
to avoid a cycle.
Eliminate 
q26

from e_184 and e_343. e_343: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                               2          2
 (q31,q26,q24,q20,q12,q10,p8,p7 ,p7,p6,p10 )

is replaced by e_375: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                           2          2
 (q31,q24,q20,q12,q10,p8,p7 ,p7,p6,p10 )


Step 1541: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 916  2-Oct-2003 12:46:38, 50 ms (0%), 1173445 occupied, 23826499 free
Eliminate 
q24

from e_308 and e_4. e_4: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                      2
 (q26,q24,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_292: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q26,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)


Step 1542: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_292. e_292: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                  2
 (q26,q20,p8,p7,p6 ,p6,p3,p2,p1,p10)

is replaced by e_413: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q20,p8,p7,p6,p3,p2,p1,p10)


Step 1543: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_339. e_339: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                    2      2
 (q29,q26,q24,q20,p8 ,p8,p7 ,p7,p6,p2,p1,p10)

is replaced by e_405: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                2      2
 (q26,q24,q20,p8 ,p8,p7 ,p7,p6,p2,p1,p10)


Step 1544: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_405. e_405: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                2      2
 (q26,q24,q20,p8 ,p8,p7 ,p7,p6,p2,p1,p10)

is replaced by e_60: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

            2      2      2
 (q26,q20,p8 ,p8,p7 ,p7,p2 ,p2,p1,p10)


Step 1545: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_353. e_353: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                        2      2             2
 (q26,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_444: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )


Step 1546: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_444. e_444: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_429: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                2      2          2
 (q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )


Step 1547: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_359. e_359: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

                        2      2             2
 (q26,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_155: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )


Step 1548: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 917  2-Oct-2003 12:46:41, 50 ms (0%), 1180099 occupied, 23819736 free
Eliminate 
q24

from e_308 and e_155. e_155: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_410: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                2      2          2
 (q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )


Step 1549: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_22. e_22: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                        2      2             2
 (q26,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_256: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )


Step 1550: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_256. e_256: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                    2      2             2
 (q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_334: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                2      2          2
 (q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )


Step 1551: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_379. e_379: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                    2      2            2
 (q29,q26,q24,q20,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10)

is replaced by e_367: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                2      2            2
 (q26,q24,q20,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10)


Step 1552: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_367. e_367: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                2      2            2
 (q26,q24,q20,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10)

is replaced by e_182: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

            2      2            2
 (q26,q20,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10)


Step 1553: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 918  2-Oct-2003 12:46:45, 50 ms (0%), 1170945 occupied, 23829003 free
Eliminate 
q26

from e_184 and e_327. e_327: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q31,q26,q20,q12,q10,p8,p7,p6,p4,p1,p10)

is replaced by e_210: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q31,q20,q12,q10,p8,p7,p4,p1,p10)


Step 1554: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 919  2-Oct-2003 12:46:49, 60 ms (0%), 1184376 occupied, 23815335 free
Eliminate 
q24

from e_308 and e_387. e_387: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                  2
 (q24,q20,p8,p7,p6 ,p6,p3,p1,p10)

is replaced by e_434: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q20,p8,p7,p6,p3,p2,p1,p10)


Step 1555: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_86. e_86: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                            2      2             2
 (q31,q26,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_445: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                        2      2             2
 (q31,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )


Step 1556: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_445. e_445: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                        2      2             2
 (q31,q24,q20,q12,q10,p8 ,p8,p7 ,p7,p6,p2,p10 )

is replaced by e_415: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2          2
 (q31,q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )


Step 1557: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 920  2-Oct-2003 12:46:53, 50 ms (0%), 1158585 occupied, 23841362 free
Eliminate 
q29

from e_371 and e_356. e_356: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                           2                2
 (q29,q26,q24,q20,q10,p8,p7 ,p7,p6,p2,p1,p10 ,p10)

is replaced by e_129: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                       2                2
 (q26,q24,q20,q10,p8,p7 ,p7,p6,p2,p1,p10 ,p10)


Step 1558: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_371 and e_414. e_414: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                           2                2
 (q29,q26,q24,q20,q12,p8,p7 ,p7,p6,p2,p1,p10 ,p10)

is replaced by e_115: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                       2                2
 (q26,q24,q20,q12,p8,p7 ,p7,p6,p2,p1,p10 ,p10)


Step 1559: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 921  2-Oct-2003 12:46:57, 50 ms (0%), 1168724 occupied, 23831223 free
Eliminate 
q29

from e_371 and e_380. e_380: 
 16 terms, 48 factors, with derivatives of functions of all variables: 

                        2      2            2       2
 (q29,q26,q24,q20,q12,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10 ,p10)

is replaced by e_304: 
 15 terms, 45 factors, with derivatives of functions of all variables: 

                    2      2            2       2
 (q26,q24,q20,q12,p8 ,p8,p7 ,p7,p6,p3,p2 ,p2,p10 ,p10)


Step 1560: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_381. e_381: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q26,q24,q20,q10,p8,p7,p6,p4,p3,p1,p10)

is replaced by e_390: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p1,p10)


Step 1561: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_407. e_407: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q31,q26,q24,q20,q10,p8,p7,p6,p3,p2,p1,p10)

is replaced by e_337: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p3,p2,p1,p10)


Step 1562: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 922  2-Oct-2003 12:47:01, 50 ms (0%), 1174190 occupied, 23825756 free
Eliminate 
q24

from e_308 and e_337. e_337: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p3,p2,p1,p10)

is replaced by e_176: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p3,p2,p1,p10)


Step 1563: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_354. e_354: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q26,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_362: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1564: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_362. e_362: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_231: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1565: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_375. e_375: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                           2          2
 (q31,q24,q20,q12,q10,p8,p7 ,p7,p6,p10 )

is replaced by e_277: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                       2          2
 (q31,q20,q12,q10,p8,p7 ,p7,p2,p10 )


Step 1566: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_277 and e_415. e_415: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                    2      2          2
 (q31,q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )

is replaced by e_370: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                2      2          2
 (q20,q12,q10,p8 ,p8,p7 ,p7,p2,p10 )


Step 1567: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 923  2-Oct-2003 12:47:05, 50 ms (0%), 1153553 occupied, 23846396 free
Eliminate 
q29

from e_371 and e_395. e_395: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                                           2       2
 (q31,q29,q26,q24,q20,q10,p8,p7,p6,p4,p3,p1 ,p1,p10 ,p10)

is replaced by e_382: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                                       2
 (q31,q26,q24,q20,q10,p8,p7,p6,p4,p3,p1 ,p1,p10)


Step 1568: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_382. e_382: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                                       2
 (q31,q26,q24,q20,q10,p8,p7,p6,p4,p3,p1 ,p1,p10)

is replaced by e_384: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                                2
 (q31,q24,q20,q10,p8,p7,p4,p3,p1 ,p1,p10)


Step 1569: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_389. e_389: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q31,q26,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_358: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1570: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_358. e_358: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_417: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1571: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 924  2-Oct-2003 12:47:10, 50 ms (0%), 1153011 occupied, 23846938 free
Eliminate 
q31

from e_176 and e_417. e_417: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_372: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1572: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_157. e_157: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q31,q26,q24,q20,q12,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_318: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q12,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1573: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_318. e_318: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q12,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_392: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q12,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1574: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q26

from e_184 and e_355. e_355: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q31,q26,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_331: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1575: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_308 and e_331. e_331: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_393: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1576: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_176 and e_393. e_393: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_446: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1577: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 925  2-Oct-2003 12:47:15, 50 ms (0%), 1153238 occupied, 23846710 free
Eliminate 
q29

from e_87 and e_412. e_412: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q29,q26,q24,q12,q10,p8,p7,p4,p1,p10)

is replaced by e_96: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q26,q24,q12,q10,p8,p7,p4,p2,p1,p10)


Step 1578: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_210 and e_384. e_384: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                                2
 (q31,q24,q20,q10,p8,p7,p4,p3,p1 ,p1,p10)

is replaced by e_448: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                                2
 (q24,q20,q12,q10,p8,p7,p4,p3,p1 ,p1,p10)


Step 1579: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 926  2-Oct-2003 12:47:20, 50 ms (0%), 1156039 occupied, 23843910 free
Eliminate 
q26

from e_184 and e_396. e_396: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                                        2
 (q31,q26,q24,q20,q12,q10,p8,p7,p6,p4,p3 ,p3,p2,p1,p10)

is replaced by e_449: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

                                 2
 (q31,q24,q20,q12,q10,p8,p7,p4,p3 ,p3,p2,p1,p10)


Step 1580: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 927  2-Oct-2003 12:47:26, 50 ms (0%), 1159277 occupied, 23840672 free
Eliminate 
q24

from e_308 and e_390. e_390: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q24,q20,q10,p8,p7,p6,p4,p3,p1,p10)

is replaced by e_450: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1581: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q31

from e_176 and e_450. e_450: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_451: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q20,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1582: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 928  2-Oct-2003 12:47:32, 50 ms (0%), 1168259 occupied, 23831689 free
Eliminate 
q31

from e_176 and e_392. e_392: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q31,q20,q12,p8,p7,p6,p4,p3,p2,p1,p10)

is replaced by e_452: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q20,q12,q10,p8,p7,p6,p4,p3,p2,p1,p10)


Step 1583: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 929  2-Oct-2003 12:47:38, 50 ms (0%), 1159732 occupied, 23840217 free
*** Garbage collection starting 
*** GC 930  2-Oct-2003 12:47:47, 50 ms (0%), 1155789 occupied, 23844160 free
A length reducing simplification (27) was prevented
to avoid a cycle.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_47 we get the alternative equations : 
0=q20


0=p9


New level : 1.2.1.
CRACK is now called with the new equation e_541 : 
0=q20

e_439,e_278,e_413,e_434,e_260,e_385,e_340,e_360,e_148,e_226 are consequences of 
e_541

Step 1584: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 20 terms
e_386 is a consequence of e_219
e_54,e_106 are consequences of e_56

e_453 is a consequence of e_25.
e_344 is a consequence of e_397.
e_399 is a consequence of e_397.
e_289 is a consequence of e_397.
Substitution of q20 found in e_541 : 
q20=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 17 terms
e_374,e_201,e_397 are consequences of e_92

e_25 is a consequence of e_92.
e_211 is a consequence of e_92.
e_350 is a consequence of e_92.
e_273 is a consequence of e_92.
Substitution of q12 by an expression in 
q10 found in e_402 : 
        6
q12= - ---*q10
        5


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 19 terms

The list of inequalities got extended by: 
An expression with 15 terms
e_35,e_192 are consequences of e_416

e_107 is a consequence of e_416.
e_330 is a consequence of e_416.e_373 is a consequence of e_332
*** Garbage collection starting 
*** GC 931  2-Oct-2003 12:47:55, 50 ms (0%), 1152624 occupied, 23847321 free

Substitution of q10 found in e_92 : 
q10=0


Step 1587: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms
e_78 is a consequence of e_418

e_388 is a consequence of e_418.
Substitution of q31 found in e_416 : 
q31=0


Step 1588: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1589: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_445 is a consequence of e_332.
Step 1590: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1591: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_380 is a consequence of e_29.
Step 1592: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_381 is a consequence of e_332.
Step 1593: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1594: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1595: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1596: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1597: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_395 is a consequence of e_29.
Step 1598: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1599: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1600: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1601: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_441 is a consequence of e_417

Step 1602: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1603: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1604: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1605: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1606: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_450 is a consequence of e_332.
Step 1607: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1608: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1609: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1610: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_456 is a consequence of e_332.
Step 1611: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1612: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1613: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_457 is a consequence of e_461

Step 1614: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_463 is a consequence of e_332.
Step 1615: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_464 is a consequence of e_332.
Step 1616: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1617: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1618: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1619: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_471 is a consequence of e_332.
Step 1620: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1621: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1622: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1623: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1624: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1625: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1626: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1627: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1628: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1629: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1630: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_488 is a consequence of e_56.
Step 1631: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_489 is a consequence of e_219.
Step 1632: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_490 is a consequence of e_219.
Step 1633: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_491 is a consequence of e_219.
Step 1634: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1635: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1636: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 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 :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1638: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_500 is a consequence of e_219.
Step 1639: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_501 is a consequence of e_219.
Step 1640: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_502 is a consequence of e_219.
Step 1641: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1642: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 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 : 
The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 
An expression with 22 terms

e_509 is a consequence of e_503.
Substitution of q29 by an expression in 
q26, q24, p8, p7, p10 found in e_507 : 14 factors in 5 terms

Step 1645: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_524 is a consequence of e_418.
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 2 terms

e_525 is a consequence of e_318.
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 2 terms

e_526 is a consequence of e_365.
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 2 terms

e_527 is a consequence of e_219.
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 2 terms

e_528 is a consequence of e_146.
Step 1650: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1651: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1652: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_440 we get the alternative equations : 
0=q34


0=p5


New level : 1.2.1.1.
CRACK is now called with the new equation e_439 : 
0=q34

e_141,e_309,e_179,e_221,e_114,e_160,e_236 are consequences of e_439

Step 1653: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 6 terms

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

e_106 is a consequence of e_386.
Substitution of q34 found in e_439 : 
q34=0


Step 1654: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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 :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_146 we get the alternative equations : 
0=q26


0=p5


New level : 1.2.1.1.1.
CRACK is now called with the new equation e_397 : 
0=q26

e_219,e_365,e_318,e_498,e_386 are consequences of e_397

Step 1656: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 10 terms

q24


The list of inequalities got extended by: 
An expression with 5 terms

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

Substitution of q26 found in e_397 : 
q26=0


Step 1657: 
Hot list 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 9 terms

The list of inequalities got extended by: 
An expression with 3 terms

p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q24,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q24,p8,p7,p6,p5,p4,p3,p2,p1,p9,p10

Substitution of p5 found in e_74 : 
p5=0


Step 1658: 
Hot list 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: 

g0059*p10 + g0060*p9 + g0062*p7


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

e_211 is a consequence of e_374.
Substitution of p8 found in e_453 : 
p8=0


Step 1659: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0007*q24 + g0016*p10


The list of inequalities got extended by: 

g0020*p4 + g0021*p3 + g0022*p1


The list of inequalities got extended by: 

g0050*p7 + g0055*p10 + g0058*p9


The list of inequalities got extended by: 

g0028*p4 + g0029*p3 + g0032*p1


Substitution of p6 found in e_56 : 
p6=0


Step 1660: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0020*p4 + g0021*p3


The list of inequalities got extended by: 

g0028*p4 + g0029*p3


Substitution of p1 found in e_332 : 
p1=0


Step 1661: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p4

The lexicographical ordering of unknowns is changed
because p4 has to be non-zero, giving p4 a low priority.
Old ordering: q24,p7,p4,p3,p2,p9,p10
New ordering: q24,p7,p3,p2,p4,p9,p10

Substitution of p3 found in e_418 : 
p3=0


Step 1662: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p4=0

because of the non-vanishing expression:
p4


Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

q26

The lexicographical ordering of unknowns is changed
because q26 has to be non-zero, giving q26 a low priority.
Old ordering: q26,q24,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q24,q26,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10

New level : 1.2.1.1.2.
CRACK is now called with the new equation e_397 : 
0=p5

e_74 is a consequence of e_397

Step 1663: 
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 4 terms

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

p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q24,q26,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q24,q26,p8,p7,p6,p5,p4,p3,p2,p1,p9,p10

Substitution of p5 found in e_397 : 
p5=0


Step 1664: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

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

The list of inequalities got extended by: 

g0020*p4 + g0021*p3 + g0022*p1


The list of inequalities got extended by: 

g0007*q24 + g0016*p10


Substitution of p6 found in e_219 : 
p6=0


Step 1665: 
Hot list 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 4 terms

The list of inequalities got extended by: 

g0020*p4 + g0021*p3


Substitution of p1 found in e_365 : 
p1=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 3 terms

The list of inequalities got extended by: 

p3

The lexicographical ordering of unknowns is changed
because p3 has to be non-zero, giving p3 a low priority.
Old ordering: q24,q26,p8,p7,p4,p3,p2,p9,p10
New ordering: q24,q26,p8,p7,p4,p2,p3,p9,p10

Substitution of p4 found in e_318 : 
p4=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 5 terms

The list of inequalities got extended by: 

4*p2 - p7


Substitution of q24 found in e_418 : 
q24=0


Step 1668: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p3=0

because of the non-vanishing expression:
p3


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

q34

The lexicographical ordering of unknowns is changed
because q34 has to be non-zero, giving q34 a low priority.
Old ordering: q34,q26,q24,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q26,q24,q34,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10

New level : 1.2.1.2.
CRACK is now called with the new equation e_439 : 
0=p5

e_146,e_74 are consequences of e_439

Step 1669: 
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 15 terms

e_386 is a consequence of e_114.e_418,e_498 are consequences of e_386

e_106 is a consequence of e_236.e_365,e_332 are consequences of e_106

Substitution of p5 found in e_439 : 
p5=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 14 terms

The list of inequalities got extended by: 

g0020*p4 + g0021*p3 + g0022*p1


The list of inequalities got extended by: 
An expression with 3 terms

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

Substitution of p6 found in e_221 : 
p6=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: 

g0020*p4 + g0022*p1


The list of inequalities got extended by: 
An expression with 7 terms

Substitution of p3 found in e_114 : 
p3=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: 

p1


The list of inequalities got extended by: 
An expression with 6 terms

Substitution of p4 found in e_160 : 
p4=0


Step 1673: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p1=0

because of the non-vanishing expression:
p1


The list of inequalities got extended by: 

p10


4*p2 - p7


q26

The lexicographical ordering of unknowns is changed
because q26 has to be non-zero, giving q26 a low priority.
Old ordering: q26,q24,q34,p9,p8,p7,p2,p1,p10
New ordering: q24,q34,q26,p9,p8,p7,p2,p1,p10

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 30 ms

The list of inequalities got extended by: 

q20

The lexicographical ordering of unknowns is changed
because q20 has to be non-zero, giving q20 a low priority.
Old ordering: q34,q31,q29,q26,q24,q20,q12,q10,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q34,q31,q29,q26,q24,q12,q10,q20,p9,p8,p7,p6,p5,p4,p3,p2,p1,p10

New level : 1.2.2.
CRACK is now called with the new equation e_541 : 
0=p9

e_75,e_71,e_106,e_386,e_441,e_373,e_78,e_374,e_35,e_447 are consequences of 
e_541

Step 1674: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

The list of inequalities got extended by: 

g0059*p10 + g0061*p8 + g0062*p7


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

Substitution of p9 found in e_541 : 
p9=0


Step 1675: 
Hot list 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 4 terms

The list of inequalities got extended by: 

q34

The lexicographical ordering of unknowns is changed
because q34 has to be non-zero, giving q34 a low priority.
Old ordering: q34,q31,q29,q26,q24,q12,q10,q20,p8,p7,p6,p5,p4,p3,p2,p1,p10
New ordering: q31,q29,q26,q24,q12,q10,q34,q20,p8,p7,p6,p5,p4,p3,p2,p1,p10

e_416 is a consequence of e_114.
e_402 is a consequence of e_236.e_428 is a consequence of e_402

Substitution of p5 found in e_226 : 
p5=0


Step 1676: 
Hot list 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: 

g0020*p4 + g0021*p3 + g0022*p1


Substitution of p6 found in e_221 : 
p6=0


Step 1677: 
Hot list 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: 

g0020*p4 + g0022*p1


e_399 is a consequence of e_236.
e_344 is a consequence of e_236.
e_397 is a consequence of e_236.
e_365 is a consequence of e_236.
e_55 is a consequence of e_236.
e_401 is a consequence of e_236.
e_32 is a consequence of e_160.
e_324 is a consequence of e_141.
Substitution of p3 found in e_114 : 
p3=0


Step 1678: 
Hot list 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: 

p1

*** Garbage collection starting 
*** GC 932  2-Oct-2003 12:47:58, 40 ms (0%), 1026265 occupied, 23973687 free

e_72 is a consequence of e_56.e_378 is a consequence of e_400
e_216,e_343 are consequences of e_29

e_405 is a consequence of e_29.
Substitution of p4 found in e_160 : 
p4=0


Step 1679: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p1=0

because of the non-vanishing expression:
p1


This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 100 ms

The list of inequalities got extended by: 

q17

The lexicographical ordering of unknowns is changed
because q17 has to be non-zero, giving q17 a low priority.
Old ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,
q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8
,p7,p6,p5,p4,p3,p2,p1
New ordering: q36,q35,q34,q33,q32,q31,q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,
q20,q19,q18,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,q17,p10,p9,p8
,p7,p6,p5,p4,p3,p2,p1

New level : 2.
CRACK is now called with the new equation e_83 : 
0=p2 - p8

e_141,e_10,e_46,e_7,e_276,e_281,e_54 are consequences of e_83

Step 1680: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 4 terms

Substitution of p8 by an expression in 
p2 found in e_83 : 
p8=p2


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 : 
The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 
An expression with 5 terms

Substitution of p9 by an expression in 
p7, p2 found in e_297 : 
         5
p9=p2 - ---*p7
         3


Step 1682: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 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 2 terms

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 2 terms

e_140 is a consequence of e_333.
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

Step 1687: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 : shortening by 2 terms

Step 1690: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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 : 
*** Garbage collection starting 
*** GC 933  2-Oct-2003 12:48:02, 40 ms (0%), 1111585 occupied, 23888367 free
 --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 1692: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1693: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1694: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1695: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1696: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1697: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1698: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1699: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 934  2-Oct-2003 12:48:04, 50 ms (0%), 1111659 occupied, 23888293 free
*** Garbage collection starting 
*** GC 935  2-Oct-2003 12:48:06, 50 ms (0%), 1112783 occupied, 23887169 free
*** Garbage collection starting 
*** GC 936  2-Oct-2003 12:48:07, 40 ms (0%), 1113743 occupied, 23886209 free
*** Garbage collection starting 
*** GC 937  2-Oct-2003 12:48:09, 40 ms (0%), 1114193 occupied, 23885759 free
*** Garbage collection starting 
*** GC 938  2-Oct-2003 12:48:11, 50 ms (0%), 1114423 occupied, 23885529 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : Eliminate 
q2

from e_310 and e_309. e_309: 
(#) 3 terms, 4 factors, with derivatives of functions of all variables: 

 (q4,q2,q1,p7)

is replaced by e_33: 

0=(39*q1 - 25*q4)*p7


Step 1700: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 939  2-Oct-2003 12:48:13, 40 ms (0%), 1113621 occupied, 23886331 free
*** Garbage collection starting 
*** GC 940  2-Oct-2003 12:48:15, 50 ms (0%), 1114117 occupied, 23885835 free
*** Garbage collection starting 
*** GC 941  2-Oct-2003 12:48:17, 50 ms (0%), 1114241 occupied, 23885711 free
*** Garbage collection starting 
*** GC 942  2-Oct-2003 12:48:18, 50 ms (0%), 1114735 occupied, 23885217 free
*** Garbage collection starting 
*** GC 943  2-Oct-2003 12:48:20, 50 ms (0%), 1114977 occupied, 23884975 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 944  2-Oct-2003 12:48:26, 40 ms (0%), 1147659 occupied, 23852292 free
Eliminate 
q2

from e_310 and e_67. e_67: 

0=3*p4*q34 - p7*q2

is replaced by e_115: 

0=5*p4*q34 + p7*q1


Step 1701: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1702: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1703: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1704: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1705: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1706: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1707: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1708: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 945  2-Oct-2003 12:48:28, 50 ms (0%), 1113561 occupied, 23886391 free
*** Garbage collection starting 
*** GC 946  2-Oct-2003 12:48:30, 50 ms (0%), 1115219 occupied, 23884733 free
*** Garbage collection starting 
*** GC 947  2-Oct-2003 12:48:32, 40 ms (0%), 1116205 occupied, 23883747 free
*** Garbage collection starting 
*** GC 948  2-Oct-2003 12:48:34, 50 ms (0%), 1116641 occupied, 23883310 free
*** Garbage collection starting 
*** GC 949  2-Oct-2003 12:48:36, 50 ms (0%), 1116995 occupied, 23882957 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : Eliminate 
q1

from e_72 and e_33. e_33: 

0=(39*q1 - 25*q4)*p7

is replaced by e_97: 

0=p7*q4


Step 1709: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1710: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1711: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1712: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 950  2-Oct-2003 12:48:38, 50 ms (0%), 1113955 occupied, 23885997 free
*** Garbage collection starting 
*** GC 951  2-Oct-2003 12:48:40, 40 ms (0%), 1114875 occupied, 23885077 free
*** Garbage collection starting 
*** GC 952  2-Oct-2003 12:48:41, 50 ms (0%), 1115537 occupied, 23884415 free
*** Garbage collection starting 
*** GC 953  2-Oct-2003 12:48:43, 50 ms (0%), 1116191 occupied, 23883761 free
*** Garbage collection starting 
*** GC 954  2-Oct-2003 12:48:45, 50 ms (0%), 1116523 occupied, 23883429 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : Eliminate 
q1

from e_72 and e_310. e_310: 

0=(3*q1 + 5*q2)*p7

is replaced by e_132: 

0=p7*q2


Step 1713: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1714: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1717: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1718: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1719: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1720: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 955  2-Oct-2003 12:48:47, 40 ms (0%), 1113769 occupied, 23886182 free
*** Garbage collection starting 
*** GC 956  2-Oct-2003 12:48:49, 40 ms (0%), 1114727 occupied, 23885224 free
*** Garbage collection starting 
*** GC 957  2-Oct-2003 12:48:51, 50 ms (0%), 1115409 occupied, 23884542 free
*** Garbage collection starting 
*** GC 958  2-Oct-2003 12:48:53, 40 ms (0%), 1116091 occupied, 23883860 free
*** Garbage collection starting 
*** GC 959  2-Oct-2003 12:48:55, 50 ms (0%), 1116365 occupied, 23883586 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : Eliminate 
q16

from e_286 and e_248. e_248: 

0=12*p10*q16 + p6*q34

is replaced by e_379: 

0=p10*q17 - p6*q34


Step 1721: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 960  2-Oct-2003 12:48:58, 40 ms (0%), 1114639 occupied, 23885312 free
*** Garbage collection starting 
*** GC 961  2-Oct-2003 12:49:00, 50 ms (0%), 1115615 occupied, 23884336 free
*** Garbage collection starting 
*** GC 962  2-Oct-2003 12:49:01, 50 ms (0%), 1116143 occupied, 23883808 free
*** Garbage collection starting 
*** GC 963  2-Oct-2003 12:49:03, 50 ms (0%), 1116379 occupied, 23883572 free
*** Garbage collection starting 
*** GC 964  2-Oct-2003 12:49:05, 50 ms (0%), 1116489 occupied, 23883462 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_short.
 --- 
Length reducing decoupling steps : Eliminate 
q29

from e_305 and e_114. e_114: 

0=p2*q29 - 2*p7*q30

is replaced by e_382: 

0=(q13 - q30)*p7


***** PREMATURE STOP DUE TO TIME CONSTRAINT! 

Time: 66060 ms  plus GC time: 1490 ms

4: 
Time: 0 ms

5: 5: 
n

Time: 0 ms

6: 
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7: Do you want to merge solutions computed in this session,
i.e. since loading CRACK the last time?  (Y or N) ***** `bu163-2-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) 
***** `bu163-2-Oct-sol_list' cannot be open for input

Time: 0 ms

9: 9: 9: 9: 
y /home/twolf/public_html/htdocs/susy/N1t7s12b4+5/N1t7s12b4+5 N1t7s12b4+5 bye$$$
$

***** Missing operator 

Time: 0 ms

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14: 
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15: 
*** End-of-file read 

Quitting