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: "bu433-2-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 N1f0b2t9s10w45. ####### The system: 2 b(1) =b(2)*b(1) *p13 + Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *p16 t x x 4x + b(2) *b(1)*p10 + b(2) *b(1) *p12 + b(1) *b(2)*p11 2x x x 2x 2 b(2) =b(2) *b(1)*p6 + Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 t x 2x 2x 2 2 + b(2) *p4 + b(1) *p9 + b(1) *b(1)*p1 + b(1) *b(1) *p3 + b(1) *b(1) *p5 x 5x 3x 2x x x It's symmetry: 2 b(1) =b(2) *b(1)*q18 + Db(2) *Db(2)*q20 + Db(1) *Db(1)*q19 + b(2) *b(2)*q14 s x 2x 2x 2 + b(2) *q16 + b(1) *q21 + b(1) *b(1)*q13 + b(1) *b(1) *q15 x 5x 3x 2x x 2 + b(1) *b(1) *q17 x 3 b(2) =b(2) *q8 + Db(2)*Db(1)*b(1)*q1 + Db(2) *Db(1)*q9 + Db(2) *Db(1) *q11 s 2x x x + Db(1) *Db(2)*q10 + b(2) *q12 + b(2) *b(1)*q2 + b(2) *b(1) *q4 2x 5x 3x 2x x 2 + b(2) *b(1) *q6 + b(2) *b(1) *q5 + b(1) *b(2)*q3 + b(1) *b(2)*b(1)*q7 x x 2x 3x x {q20,q19,q11,q10,q9,q1,p15,p14,p8,p7} {p9,p7,p6,p5,p3,p1} {q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1} {q21,q20,q19,q18,q17,q16,q15,q14,q13} {p16,p15,p14,p13,p12,p11,p10} Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(b(1),t)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x df(b(1),s)=q21*b(1) 5x df(b(2),s)=q12*b(2) 5x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(b(1),t)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x 2 df(b(1),s)=Db(2) *Db(2)*q20 + Db(1) *Db(1)*q19 + b(2) *b(2)*q14 + b(2) *q16 x 2x 2x x + b(1) *b(1)*q13 + b(1) *b(1) *q15 3x 2x x df(b(2),s)=Db(2) *Db(1)*q9 + Db(2) *Db(1) *q11 + Db(1) *Db(2)*q10 2x x x 2x + b(2) *b(1)*q2 + b(2) *b(1) *q4 + b(2) *b(1) *q5 3x 2x x x 2x + b(1) *b(2)*q3 3x Pairing now degree 2 terms from the system with degree 1 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x df(b(1),s)=q21*b(1) 5x df(b(2),s)=q12*b(2) 5x 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)=p16*b(2) 4x df(b(2),t)=p9*b(1) 5x 2 df(b(1),s)=b(1)*(b(2) *q18 + b(1) *b(1)*q17) x 3 2 df(b(2),s)=b(2) *q8 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q6 + b(1) *b(2)*b(1)*q7 x x Pairing now degree 2 terms from the system with degree 2 terms from the symmetry df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x 2 df(b(1),s)=Db(2) *Db(2)*q20 + Db(1) *Db(1)*q19 + b(2) *b(2)*q14 + b(2) *q16 x 2x 2x x + b(1) *b(1)*q13 + b(1) *b(1) *q15 3x 2x x df(b(2),s)=Db(2) *Db(1)*q9 + Db(2) *Db(1) *q11 + Db(1) *Db(2)*q10 2x x x 2x + b(2) *b(1)*q2 + b(2) *b(1) *q4 + b(2) *b(1) *q5 3x 2x x x 2x + b(1) *b(2)*q3 3x *** Garbage collection starting *** GC 1 2-Oct-2003 16:56:56, 30 ms (0%), 1011225 occupied, 23988727 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x df(b(1),s)=q21*b(1) 5x df(b(2),s)=q12*b(2) 5x Generating all terms of total degree 5 Pairing now degree 2 terms from the system with degree 3 terms from the symmetry *** Garbage collection starting *** GC 2 2-Oct-2003 16:57:05, 20 ms (0%), 930339 occupied, 24069613 free df(b(1),t)=Db(2) *Db(1)*p14 + Db(1) *Db(2)*p15 + b(2) *b(1)*p10 x x 2x + b(2) *b(1) *p12 + b(1) *b(2)*p11 x x 2x 2 df(b(2),t)=Db(2) *Db(2)*p8 + Db(1) *Db(1)*p7 + b(2) *b(2)*p2 + b(2) *p4 x 2x 2x x + b(1) *b(1)*p1 + b(1) *b(1) *p3 3x 2x x 2 df(b(1),s)=b(1)*(b(2) *q18 + b(1) *b(1)*q17) x 3 2 df(b(2),s)=b(2) *q8 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q6 + b(1) *b(2)*b(1)*q7 x x Pairing now degree 3 terms from the system with degree 2 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x 2 df(b(1),s)=Db(2) *Db(2)*q20 + Db(1) *Db(1)*q19 + b(2) *b(2)*q14 + b(2) *q16 x 2x 2x x + b(1) *b(1)*q13 + b(1) *b(1) *q15 3x 2x x df(b(2),s)=Db(2) *Db(1)*q9 + Db(2) *Db(1) *q11 + Db(1) *Db(2)*q10 2x x x 2x + b(2) *b(1)*q2 + b(2) *b(1) *q4 + b(2) *b(1) *q5 3x 2x x x 2x + b(1) *b(2)*q3 3x Generating all terms of total degree 6 Pairing now degree 3 terms from the system with degree 3 terms from the symmetry 2 df(b(1),t)=b(2)*b(1) *p13 2 df(b(2),t)=b(1)*(b(2) *p6 + b(1) *b(1)*p5) x 2 df(b(1),s)=b(1)*(b(2) *q18 + b(1) *b(1)*q17) x 3 2 df(b(2),s)=b(2) *q8 + Db(2)*Db(1)*b(1)*q1 + b(2) *b(1) *q6 + b(1) *b(2)*b(1)*q7 x x Now crack is called. *** Garbage collection starting *** GC 3 2-Oct-2003 16:57:19, 20 ms (0%), 976971 occupied, 24022981 free ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is CRACK - a solver for overdetermined partial differential equations Enter `h' for help. The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 7 terms *** Garbage collection starting *** GC 4 2-Oct-2003 16:57:26, 30 ms (0%), 981834 occupied, 24018118 free *** Garbage collection starting *** GC 5 2-Oct-2003 16:57:30, 30 ms (0%), 994566 occupied, 24005386 free *** Garbage collection starting *** GC 6 2-Oct-2003 16:57:34, 30 ms (0%), 1036470 occupied, 23963482 free *** Garbage collection starting *** GC 7 2-Oct-2003 16:57:40, 30 ms (0%), 1013294 occupied, 23986658 free *** Garbage collection starting *** GC 8 2-Oct-2003 16:57:45, 40 ms (0%), 1064056 occupied, 23935896 free *** Garbage collection starting *** GC 9 2-Oct-2003 16:57:51, 30 ms (0%), 993198 occupied, 24006754 free old input: l Select a method by its number that is to be executed repeatedly: old input: 2 To repeat this method as often as possible, enter `;' To repeat this method as often as possible, but at most a number of n times, enter n : old input: ; Step 1: separation w.r.t. x linear independent expressions : 2 3 b(1) *b(2) 3 b(1) *Db(1)*Db(2) 4 b(1) *b(2) x 3 b(1) *b(2)*b(1) x Separation of e_1 yields (e_13 e_12 e_14 e_11) Step 2: separation w.r.t. x linear independent expressions : 4 b(2) b(1)*b(2)*Db(1)*Db(2) 2 b(1) *Db(1)*Db(1) x 2 b(1) *b(2)*b(2) x 3 b(1) *b(1) 2x 2 2 b(1) *b(1) x 2 b(1)*b(2) *b(1) x Separation of e_2 yields (e_20 e_19 e_21 e_17 e_16 e_18 e_15) e_20 is a consequence of e_13. 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_8 yields (e_37 e_31 e_30 e_36 e_35 e_33 e_34 e_32 e_29 e_26 e_22 e_28 e_27 e_25 e_24 e_23) 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 10 2-Oct-2003 16:57:53, 30 ms (0%), 994814 occupied, 24005138 free Separation of e_7 yields (e_46 e_38 e_52 e_47 e_45 e_39 e_51 e_49 e_48 e_50 e_44 e_40 e_41 e_43 e_42) 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 2 b(2) *Db(2)*Db(1) x 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 3 b(2) *b(1) 2x b(1)*b(2)*b(1) *b(1) x 2x 3 b(2)*b(1) x Separation of e_3 yields (e_72 e_67 e_55 e_77 e_68 e_64 e_69 e_63 e_57 e_53 e_74 e_73 e_70 e_62 e_56 e_75 e_66 e_65 e_76 e_71 e_60 e_58 e_59 e_54 e_61) 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 2 b(2) *Db(2)*Db(2) x 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 3 b(2) *b(2) 2x 2 b(1) *b(2) *b(2) x 2x b(1)*b(2)*b(1) *b(2) x 2x 2 2 b(2) *b(2) x 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 11 2-Oct-2003 16:57:56, 40 ms (0%), 1025724 occupied, 23974228 free Separation of e_4 yields (e_107 e_91 e_78 e_108 e_95 e_93 e_88 e_109 e_94 e_84 e_103 e_102 e_100 e_98 e_96 e_92 e_110 e_105 e_104 e_101 e_81 e_112 e_99 e_90 e_80 e_111 e_106 e_85 e_83 e_79 e_97 e_87 e_89 e_82 e_86) 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 12 2-Oct-2003 16:57:59, 30 ms (0%), 1005126 occupied, 23994826 free *** Garbage collection starting *** GC 13 2-Oct-2003 16:58:08, 30 ms (0%), 1007966 occupied, 23991986 free Separation of e_5 yields (e_137 e_138 e_134 e_151 e_146 e_131 e_127 e_115 e_152 e_141 e_149 e_139 e_135 e_128 e_122 e_116 e_114 e_113 e_145 e_144 e_136 e_133 e_125 e_123 e_121 e_118 e_153 e_148 e_140 e_130 e_117 e_150 e_143 e_132 e_129 e_126 e_120 e_119 e_142 e_124 e_147) 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 14 2-Oct-2003 16:58:12, 30 ms (0%), 1056028 occupied, 23943924 free *** Garbage collection starting *** GC 15 2-Oct-2003 16:58:38, 30 ms (0%), 1016806 occupied, 23983146 free Separation of e_6 yields (e_200 e_201 e_197 e_196 e_182 e_184 e_179 e_172 e_154 e_185 e_178 e_199 e_198 e_192 e_188 e_175 e_161 e_160 e_157 e_191 e_171 e_170 e_166 e_163 e_156 e_202 e_193 e_183 e_181 e_180 e_173 e_169 e_162 e_158 e_194 e_189 e_186 e_176 e_168 e_167 e_187 e_174 e_165 e_164 e_159 e_155 e_195 e_190 e_177) e_200 is a consequence of e_137. e_201 is a consequence of e_138. e_172 is a consequence of e_115. 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 : 188 total no of terms : 1124 total no of factors : 2241 188 equations in 0 variables: e_147(12),e_177(12),e_86(11),e_142(11),e_124(11),e_195(11),e_190(11), e_89(10),e_82(10),e_132(10),e_129(10),e_126(10),e_120(10),e_119(10), e_187(10),e_174(10),e_165(10),e_164(10),e_159(10),e_155(10),e_61(9), e_97(9),e_87(9),e_150(9),e_143(9),e_194(9),e_189(9),e_186(9),e_176(9), e_168(9),e_167(9),e_43(8),e_42(8),e_59(8),e_54(8),e_111(8),e_106(8), e_85(8),e_83(8),e_79(8),e_153(8),e_148(8),e_140(8),e_130(8),e_117(8), e_202(8),e_193(8),e_183(8),e_181(8),e_180(8),e_173(8),e_169(8), e_162(8),e_158(8),e_41(7),e_76(7),e_71(7),e_60(7),e_58(7),e_112(7), e_99(7),e_90(7),e_80(7),e_145(7),e_144(7),e_136(7),e_133(7),e_125(7), e_123(7),e_121(7),e_118(7),e_191(7),e_171(7),e_170(7),e_166(7), e_163(7),e_156(7),e_15(6),e_25(6),e_24(6),e_23(6),e_50(6),e_44(6), e_40(6),e_75(6),e_66(6),e_65(6),e_110(6),e_105(6),e_104(6),e_101(6), e_81(6),e_149(6),e_139(6),e_135(6),e_128(6),e_122(6),e_116(6),e_114(6), e_113(6),e_199(6),e_198(6),e_192(6),e_188(6),e_175(6),e_161(6), e_160(6),e_157(6),e_28(5),e_27(5),e_51(5),e_49(5),e_48(5),e_74(5), e_73(5),e_70(5),e_62(5),e_56(5),e_103(5),e_102(5),e_100(5),e_98(5), e_96(5),e_92(5),e_152(5),e_141(5),e_185(5),e_178(5),e_34(4),e_32(4), e_29(4),e_26(4),e_22(4),e_52(4),e_47(4),e_45(4),e_39(4),e_69(4), e_63(4),e_57(4),e_53(4),e_109(4),e_94(4),e_84(4),e_151(4),e_146(4), e_131(4),e_127(4),e_115(4),e_184(4),e_179(4),e_154(4),e_14(3),e_11(3), e_18(3),e_36(3),e_35(3),e_33(3),e_77(3),e_68(3),e_64(3),e_108(3), e_95(3),e_93(3),e_88(3),e_138(3),e_134(3),e_197(3),e_196(3),e_182(3), e_16(3#),e_37(2),e_31(2),e_30(2),e_72(2),e_67(2),e_55(2),e_107(2), e_91(2),e_78(2),e_137(2),e_9(2#),e_10(2#),e_12(2#),e_21(2#),e_17(2#), e_13(1#),e_19(1#) 37 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, p11,p12,p13,p14,p15,p16,q1,q2,q3,q4,q5, q6,q7,q8,q9,q10,q11,q12,q13,q14,q15,q16, q17,q18,q19,q20,q21 old input: w Enter a list of equations, like e2,e5,e35; from: e_19,e_13,e_17,e_21,e_12,e_10,e_9,e_137,e_78,e_91,e_107,e_55,e_67,e_72,e_30,e_31 ,e_37,e_16,e_182,e_196,e_197,e_134,e_138,e_88,e_93,e_95,e_108,e_64,e_68,e_77, e_33,e_35,e_36,e_18,e_11,e_14,e_154,e_179,e_184,e_115,e_127,e_131,e_146,e_151, e_84,e_94,e_109,e_53,e_57,e_63,e_69,e_39,e_45,e_47,e_52,e_22,e_26,e_29,e_32,e_34 ,e_178,e_185,e_141,e_152,e_92,e_96,e_98,e_100,e_102,e_103,e_56,e_62,e_70,e_73, e_74,e_48,e_49,e_51,e_27,e_28,e_157,e_160,e_161,e_175,e_188,e_192,e_198,e_199, e_113,e_114,e_116,e_122,e_128,e_135,e_139,e_149,e_81,e_101,e_104,e_105,e_110, e_65,e_66,e_75,e_40,e_44,e_50,e_23,e_24,e_25,e_15,e_156,e_163,e_166,e_170,e_171, e_191,e_118,e_121,e_123,e_125,e_133,e_136,e_144,e_145,e_80,e_90,e_99,e_112,e_58, e_60,e_71,e_76,e_41,e_158,e_162,e_169,e_173,e_180,e_181,e_183,e_193,e_202,e_117, e_130,e_140,e_148,e_153,e_79,e_83,e_85,e_106,e_111,e_54,e_59,e_42,e_43,e_167, e_168,e_176,e_186,e_189,e_194,e_143,e_150,e_87,e_97,e_61,e_155,e_159,e_164,e_165 ,e_174,e_187,e_119,e_120,e_126,e_129,e_132,e_82,e_89,e_190,e_195,e_124,e_142, e_86,e_177,e_147 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 16 2-Oct-2003 16:58:41, 30 ms (0%), 1017924 occupied, 23982028 free *** Garbage collection starting *** GC 17 2-Oct-2003 16:58:44, 30 ms (0%), 1020844 occupied, 23979108 free --- Algebraic length reduction of equations : shortening by 1 term 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 1 term 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 1 term Step 14: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 16: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 19: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 20: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 21: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 22: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 23: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 24: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 25: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 26: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 27: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 28: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 29: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 32: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 18 2-Oct-2003 16:58:47, 30 ms (0%), 1020682 occupied, 23979270 free shortening by 2 terms Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 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 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 38: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 : *** Garbage collection starting *** GC 19 2-Oct-2003 16:58:49, 30 ms (0%), 1020550 occupied, 23979402 free shortening by 1 term Step 42: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 20 2-Oct-2003 16:58:50, 40 ms (0%), 1020984 occupied, 23978968 free *** Garbage collection starting *** GC 21 2-Oct-2003 16:58:52, 40 ms (0%), 1021898 occupied, 23978054 free *** Garbage collection starting *** GC 22 2-Oct-2003 16:58:54, 40 ms (0%), 1022546 occupied, 23977406 free *** Garbage collection starting *** GC 23 2-Oct-2003 16:58:56, 30 ms (0%), 1023082 occupied, 23976870 free *** Garbage collection starting *** GC 24 2-Oct-2003 16:58:57, 40 ms (0%), 1023738 occupied, 23976214 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_17 and e_16. e_16: 0=(4*q17 - 2*q6 - q7)*p5 is replaced by e_278: 0=(2*q6 - q7)*p5 Step 43: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 25 2-Oct-2003 16:59:00, 40 ms (0%), 1022316 occupied, 23977635 free *** Garbage collection starting *** GC 26 2-Oct-2003 16:59:01, 30 ms (0%), 1022916 occupied, 23977035 free *** Garbage collection starting *** GC 27 2-Oct-2003 16:59:03, 30 ms (0%), 1023448 occupied, 23976503 free *** Garbage collection starting *** GC 28 2-Oct-2003 16:59:05, 30 ms (0%), 1023974 occupied, 23975977 free *** Garbage collection starting *** GC 29 2-Oct-2003 16:59:07, 40 ms (0%), 1024490 occupied, 23975461 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 30 2-Oct-2003 16:59:11, 40 ms (0%), 1143978 occupied, 23855958 free Eliminate q21 from e_211 and e_208. e_208: 0=p7*q21 - p9*q10 is replaced by e_281: 0=(q10 - q9)*p9 Step 44: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 31 2-Oct-2003 16:59:13, 30 ms (0%), 1022202 occupied, 23977749 free *** Garbage collection starting *** GC 32 2-Oct-2003 16:59:14, 30 ms (0%), 1022648 occupied, 23977303 free *** Garbage collection starting *** GC 33 2-Oct-2003 16:59:16, 30 ms (0%), 1023298 occupied, 23976653 free *** Garbage collection starting *** GC 34 2-Oct-2003 16:59:18, 30 ms (0%), 1023642 occupied, 23976309 free *** Garbage collection starting *** GC 35 2-Oct-2003 16:59:20, 30 ms (0%), 1023986 occupied, 23975965 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_38 and e_67. e_38: 0=p15*q18 - 2*p6*q20 is replaced by e_284: 0=(q18 - 6*q8)*p15 Step 45: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 36 2-Oct-2003 16:59:22, 40 ms (0%), 1022304 occupied, 23977647 free *** Garbage collection starting *** GC 37 2-Oct-2003 16:59:24, 30 ms (0%), 1022850 occupied, 23977101 free *** Garbage collection starting *** GC 38 2-Oct-2003 16:59:25, 30 ms (0%), 1023670 occupied, 23976281 free *** Garbage collection starting *** GC 39 2-Oct-2003 16:59:27, 30 ms (0%), 1024136 occupied, 23975815 free *** Garbage collection starting *** GC 40 2-Oct-2003 16:59:29, 30 ms (0%), 1024418 occupied, 23975533 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_91 and e_55. e_55: 0=p11*q8 - p6*q14 is replaced by e_287: 0=q8*(p11 + p2) 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 : *** Garbage collection starting *** GC 41 2-Oct-2003 16:59:31, 30 ms (0%), 1022682 occupied, 23977269 free *** Garbage collection starting *** GC 42 2-Oct-2003 16:59:33, 30 ms (0%), 1023312 occupied, 23976639 free *** Garbage collection starting *** GC 43 2-Oct-2003 16:59:34, 30 ms (0%), 1024014 occupied, 23975937 free *** Garbage collection starting *** GC 44 2-Oct-2003 16:59:36, 40 ms (0%), 1024696 occupied, 23975255 free *** Garbage collection starting *** GC 45 2-Oct-2003 16:59:38, 40 ms (0%), 1025288 occupied, 23974663 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_107 and e_67. e_67: 0=3*p15*q8 - p6*q20 is replaced by e_289: 0=q8*(p15 + p8) 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 : *** Garbage collection starting *** GC 46 2-Oct-2003 16:59:40, 30 ms (0%), 1022082 occupied, 23977869 free *** Garbage collection starting *** GC 47 2-Oct-2003 16:59:42, 30 ms (0%), 1023302 occupied, 23976649 free *** Garbage collection starting *** GC 48 2-Oct-2003 16:59:44, 30 ms (0%), 1024116 occupied, 23975835 free *** Garbage collection starting *** GC 49 2-Oct-2003 16:59:45, 30 ms (0%), 1024704 occupied, 23975247 free *** Garbage collection starting *** GC 50 2-Oct-2003 16:59:47, 30 ms (0%), 1024962 occupied, 23974989 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_107 and e_72. e_72: 0=3*p14*q8 - p6*q20 is replaced by e_291: 0=q8*(p14 + p8) 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 51 2-Oct-2003 16:59:49, 40 ms (0%), 1022490 occupied, 23977461 free *** Garbage collection starting *** GC 52 2-Oct-2003 16:59:51, 40 ms (0%), 1023288 occupied, 23976663 free *** Garbage collection starting *** GC 53 2-Oct-2003 16:59:53, 40 ms (0%), 1024164 occupied, 23975787 free *** Garbage collection starting *** GC 54 2-Oct-2003 16:59:55, 30 ms (0%), 1024908 occupied, 23975043 free *** Garbage collection starting *** GC 55 2-Oct-2003 16:59:56, 30 ms (0%), 1025070 occupied, 23974881 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 56 2-Oct-2003 17:00:01, 40 ms (0%), 1063930 occupied, 23936018 free Eliminate q19 from e_64 and e_65. e_65: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q7,q6,q1,p15,p14,p13) is replaced by e_293: 0=(q1 + 2*q6 - q7)*(p14 + p15) Step 49: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 57 2-Oct-2003 17:00:03, 30 ms (0%), 1022860 occupied, 23977091 free *** Garbage collection starting *** GC 58 2-Oct-2003 17:00:04, 40 ms (0%), 1023512 occupied, 23976439 free *** Garbage collection starting *** GC 59 2-Oct-2003 17:00:06, 40 ms (0%), 1024106 occupied, 23975845 free *** Garbage collection starting *** GC 60 2-Oct-2003 17:00:08, 40 ms (0%), 1024278 occupied, 23975673 free *** Garbage collection starting *** GC 61 2-Oct-2003 17:00:10, 30 ms (0%), 1024474 occupied, 23975477 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_12 and e_11. e_11: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q17,q7,p13,p5) is replaced by e_297: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q7,q6,p13,p5) Step 50: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 51: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 52: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 53: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 62 2-Oct-2003 17:00:14, 40 ms (0%), 1022266 occupied, 23977685 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 63 2-Oct-2003 17:00:16, 30 ms (0%), 1023188 occupied, 23976763 free *** Garbage collection starting *** GC 64 2-Oct-2003 17:00:17, 30 ms (1%), 1024012 occupied, 23975939 free *** Garbage collection starting *** GC 65 2-Oct-2003 17:00:19, 30 ms (1%), 1024504 occupied, 23975447 free *** Garbage collection starting *** GC 66 2-Oct-2003 17:00:21, 30 ms (1%), 1024910 occupied, 23975041 free *** Garbage collection starting *** GC 67 2-Oct-2003 17:00:23, 30 ms (1%), 1025814 occupied, 23974137 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q6 from e_301 and e_12. e_12: 0=(q17 - q6)*p13 is replaced by e_312: 0=p13*q17 Step 54: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 68 2-Oct-2003 17:00:25, 40 ms (1%), 1023778 occupied, 23976173 free *** Garbage collection starting *** GC 69 2-Oct-2003 17:00:27, 30 ms (1%), 1024364 occupied, 23975587 free *** Garbage collection starting *** GC 70 2-Oct-2003 17:00:28, 30 ms (1%), 1025026 occupied, 23974925 free *** Garbage collection starting *** GC 71 2-Oct-2003 17:00:30, 30 ms (1%), 1025422 occupied, 23974529 free *** Garbage collection starting *** GC 72 2-Oct-2003 17:00:32, 40 ms (1%), 1026272 occupied, 23973679 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 73 2-Oct-2003 17:00:36, 30 ms (1%), 1083245 occupied, 23916702 free *** Garbage collection starting *** GC 74 2-Oct-2003 17:00:41, 40 ms (1%), 1128383 occupied, 23871542 free *** Garbage collection starting *** GC 75 2-Oct-2003 17:00:45, 40 ms (1%), 1055359 occupied, 23944590 free *** Garbage collection starting *** GC 76 2-Oct-2003 17:00:49, 40 ms (1%), 1111380 occupied, 23888562 free Eliminate q14 from e_137 and e_134. e_134: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q14,q3,p15,p11,p7) is replaced by e_314: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q3,p15,p14,p11) Step 55: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 77 2-Oct-2003 17:00:51, 30 ms (1%), 1024784 occupied, 23975167 free *** Garbage collection starting *** GC 78 2-Oct-2003 17:00:53, 40 ms (1%), 1025842 occupied, 23974109 free *** Garbage collection starting *** GC 79 2-Oct-2003 17:00:55, 30 ms (1%), 1026512 occupied, 23973438 free *** Garbage collection starting *** GC 80 2-Oct-2003 17:00:57, 40 ms (1%), 1027286 occupied, 23972665 free shortening by 1 term Step 57: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 81 2-Oct-2003 17:00:59, 30 ms (1%), 1023436 occupied, 23976515 free shortening by 1 term Step 58: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 82 2-Oct-2003 17:01:01, 40 ms (1%), 1023764 occupied, 23976187 free shortening by 1 term Step 59: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 60: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 83 2-Oct-2003 17:01:02, 40 ms (1%), 1023406 occupied, 23976545 free shortening by 1 term Step 61: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 84 2-Oct-2003 17:01:04, 30 ms (1%), 1023346 occupied, 23976604 free shortening by 1 term Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 85 2-Oct-2003 17:01:06, 40 ms (1%), 1023542 occupied, 23976409 free shortening by 1 term Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 86 2-Oct-2003 17:01:08, 30 ms (1%), 1023404 occupied, 23976547 free *** Garbage collection starting *** GC 87 2-Oct-2003 17:01:10, 30 ms (1%), 1024150 occupied, 23975801 free shortening by 1 term Step 66: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 88 2-Oct-2003 17:01:12, 30 ms (1%), 1023066 occupied, 23976885 free *** Garbage collection starting *** GC 89 2-Oct-2003 17:01:14, 30 ms (1%), 1024218 occupied, 23975733 free *** Garbage collection starting *** GC 90 2-Oct-2003 17:01:15, 30 ms (1%), 1025690 occupied, 23974261 free shortening by 1 term Step 67: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 91 2-Oct-2003 17:01:17, 30 ms (1%), 1024452 occupied, 23975499 free shortening by 2 terms Step 68: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 69: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 92 2-Oct-2003 17:01:19, 30 ms (1%), 1024258 occupied, 23975693 free shortening by 1 term Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 93 2-Oct-2003 17:01:21, 30 ms (1%), 1023530 occupied, 23976421 free shortening by 1 term Step 71: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 72: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 94 2-Oct-2003 17:01:23, 30 ms (1%), 1024148 occupied, 23975803 free shortening by 2 terms e_210 is a consequence of e_192. 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 95 2-Oct-2003 17:01:25, 30 ms (1%), 1023924 occupied, 23976027 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 : *** Garbage collection starting *** GC 96 2-Oct-2003 17:01:27, 30 ms (1%), 1023156 occupied, 23976795 free shortening by 3 terms Step 75: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 97 2-Oct-2003 17:01:29, 40 ms (1%), 1023170 occupied, 23976781 free *** Garbage collection starting *** GC 98 2-Oct-2003 17:01:30, 40 ms (1%), 1023658 occupied, 23976293 free shortening by 2 terms Step 78: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 79: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 99 2-Oct-2003 17:01:32, 30 ms (1%), 1022930 occupied, 23977021 free shortening by 3 terms Step 80: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 100 2-Oct-2003 17:01:34, 30 ms (1%), 1023406 occupied, 23976545 free shortening by 3 terms Step 81: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 101 2-Oct-2003 17:01:36, 30 ms (1%), 1023650 occupied, 23976301 free *** Garbage collection starting *** GC 102 2-Oct-2003 17:01:38, 30 ms (1%), 1024596 occupied, 23975355 free 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 103 2-Oct-2003 17:01:40, 30 ms (1%), 1023466 occupied, 23976485 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 : *** Garbage collection starting *** GC 104 2-Oct-2003 17:01:42, 30 ms (1%), 1022540 occupied, 23977411 free shortening by 2 terms Step 84: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 85: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 105 2-Oct-2003 17:01:44, 40 ms (1%), 1022896 occupied, 23977055 free shortening by 2 terms Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 106 2-Oct-2003 17:01:46, 40 ms (1%), 1022954 occupied, 23976997 free shortening by 2 terms Step 88: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 107 2-Oct-2003 17:01:48, 30 ms (1%), 1022650 occupied, 23977301 free shortening by 1 term Step 89: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 90: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 108 2-Oct-2003 17:01:49, 30 ms (1%), 1023628 occupied, 23976323 free shortening by 1 term Step 91: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 92: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 93: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 109 2-Oct-2003 17:01:51, 30 ms (1%), 1022254 occupied, 23977697 free shortening by 1 term Step 94: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 110 2-Oct-2003 17:01:53, 30 ms (1%), 1023708 occupied, 23976243 free shortening by 2 terms Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms 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 111 2-Oct-2003 17:01:55, 30 ms (1%), 1025050 occupied, 23974901 free shortening by 1 term Step 98: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 112 2-Oct-2003 17:01:57, 40 ms (1%), 1023582 occupied, 23976369 free *** Garbage collection starting *** GC 113 2-Oct-2003 17:01:59, 30 ms (1%), 1024850 occupied, 23975101 free *** Garbage collection starting *** GC 114 2-Oct-2003 17:02:01, 30 ms (1%), 1025706 occupied, 23974245 free *** Garbage collection starting *** GC 115 2-Oct-2003 17:02:03, 30 ms (1%), 1026440 occupied, 23973511 free *** Garbage collection starting *** GC 116 2-Oct-2003 17:02:05, 30 ms (1%), 1026964 occupied, 23972987 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_76 and e_63. e_63: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q13,q6,q2,p13,p10) is replaced by e_262: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q6,q2,p13,p10) Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 117 2-Oct-2003 17:02:08, 30 ms (1%), 1023530 occupied, 23976421 free *** Garbage collection starting *** GC 118 2-Oct-2003 17:02:10, 40 ms (1%), 1024538 occupied, 23975413 free *** Garbage collection starting *** GC 119 2-Oct-2003 17:02:12, 30 ms (1%), 1025254 occupied, 23974697 free *** Garbage collection starting *** GC 120 2-Oct-2003 17:02:14, 40 ms (1%), 1025964 occupied, 23973987 free *** Garbage collection starting *** GC 121 2-Oct-2003 17:02:16, 30 ms (1%), 1026480 occupied, 23973471 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 122 2-Oct-2003 17:02:20, 40 ms (1%), 1107842 occupied, 23892103 free Eliminate q7 from e_216 and e_229. e_229: 3 terms, 6 factors, with derivatives of functions of all variables: (q7,q1,p15,p12,p10) is replaced by e_48: 0=q1*(p10 + p11 - p12) Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 123 2-Oct-2003 17:02:23, 30 ms (1%), 1024644 occupied, 23975307 free *** Garbage collection starting *** GC 124 2-Oct-2003 17:02:24, 40 ms (1%), 1025566 occupied, 23974384 free *** Garbage collection starting *** GC 125 2-Oct-2003 17:02:26, 40 ms (1%), 1026096 occupied, 23973855 free *** Garbage collection starting *** GC 126 2-Oct-2003 17:02:28, 40 ms (1%), 1026812 occupied, 23973139 free *** Garbage collection starting *** GC 127 2-Oct-2003 17:02:30, 30 ms (1%), 1027120 occupied, 23972831 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_192 and e_74. e_74: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q17,q9,q6,q1,p14,p13,p10) is replaced by e_268: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q9,q6,q1,p14,p13,p10) 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 128 2-Oct-2003 17:02:34, 30 ms (1%), 1023722 occupied, 23976228 free *** Garbage collection starting *** GC 129 2-Oct-2003 17:02:36, 30 ms (1%), 1025414 occupied, 23974536 free *** Garbage collection starting *** GC 130 2-Oct-2003 17:02:37, 40 ms (1%), 1025936 occupied, 23974014 free *** Garbage collection starting *** GC 131 2-Oct-2003 17:02:40, 30 ms (1%), 1026736 occupied, 23973214 free *** Garbage collection starting *** GC 132 2-Oct-2003 17:02:42, 30 ms (1%), 1027342 occupied, 23972608 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_37 and e_214. e_214: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q20,q11,p16,p15,p9) is replaced by e_273: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q11,q10,p16,p15) Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 133 2-Oct-2003 17:02:45, 30 ms (1%), 1023710 occupied, 23976241 free *** Garbage collection starting *** GC 134 2-Oct-2003 17:02:47, 40 ms (1%), 1024834 occupied, 23975117 free shortening by 1 term Step 104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 135 2-Oct-2003 17:02:49, 30 ms (1%), 1024374 occupied, 23975577 free *** Garbage collection starting *** GC 136 2-Oct-2003 17:02:51, 30 ms (1%), 1025142 occupied, 23974809 free *** Garbage collection starting *** GC 137 2-Oct-2003 17:02:53, 40 ms (1%), 1025700 occupied, 23974251 free *** Garbage collection starting *** GC 138 2-Oct-2003 17:02:55, 40 ms (1%), 1026446 occupied, 23973505 free *** Garbage collection starting *** GC 139 2-Oct-2003 17:02:57, 30 ms (1%), 1027100 occupied, 23972851 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_42 and e_266. e_266: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q11,q10,q9,p16,p14) is replaced by e_283: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q11,q9,p16,p14) Step 105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 140 2-Oct-2003 17:02:59, 30 ms (1%), 1023578 occupied, 23976373 free *** Garbage collection starting *** GC 141 2-Oct-2003 17:03:02, 30 ms (1%), 1025266 occupied, 23974685 free *** Garbage collection starting *** GC 142 2-Oct-2003 17:03:04, 30 ms (1%), 1026290 occupied, 23973661 free *** Garbage collection starting *** GC 143 2-Oct-2003 17:03:06, 30 ms (1%), 1026878 occupied, 23973073 free *** Garbage collection starting *** GC 144 2-Oct-2003 17:03:08, 40 ms (1%), 1027228 occupied, 23972723 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_280 and e_292. e_292: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q12,q11,p16,p14) is replaced by e_296: 0=5*p14*q12 - 7*p16*q11 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 145 2-Oct-2003 17:03:10, 30 ms (1%), 1024974 occupied, 23974977 free *** Garbage collection starting *** GC 146 2-Oct-2003 17:03:12, 30 ms (1%), 1026172 occupied, 23973779 free *** Garbage collection starting *** GC 147 2-Oct-2003 17:03:14, 30 ms (1%), 1026826 occupied, 23973125 free *** Garbage collection starting *** GC 148 2-Oct-2003 17:03:16, 30 ms (1%), 1027046 occupied, 23972905 free *** Garbage collection starting *** GC 149 2-Oct-2003 17:03:18, 40 ms (1%), 1027420 occupied, 23972531 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_42 and e_37. e_37: 0=p16*q10 - p9*q20 is replaced by e_299: 0=p16*q9 - p9*q20 Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 150 2-Oct-2003 17:03:21, 30 ms (1%), 1024562 occupied, 23975389 free *** Garbage collection starting *** GC 151 2-Oct-2003 17:03:23, 40 ms (1%), 1025648 occupied, 23974303 free *** Garbage collection starting *** GC 152 2-Oct-2003 17:03:25, 30 ms (1%), 1026326 occupied, 23973625 free *** Garbage collection starting *** GC 153 2-Oct-2003 17:03:27, 40 ms (1%), 1026860 occupied, 23973091 free *** Garbage collection starting *** GC 154 2-Oct-2003 17:03:29, 40 ms (1%), 1027260 occupied, 23972691 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_305 and e_299. e_305: 0=p16*q11 - 2*p9*q20 is replaced by e_308: 0=(q11 - 2*q9)*p16 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 155 2-Oct-2003 17:03:31, 30 ms (1%), 1025590 occupied, 23974361 free *** Garbage collection starting *** GC 156 2-Oct-2003 17:03:34, 40 ms (1%), 1026194 occupied, 23973757 free *** Garbage collection starting *** GC 157 2-Oct-2003 17:03:36, 40 ms (1%), 1026932 occupied, 23973019 free *** Garbage collection starting *** GC 158 2-Oct-2003 17:03:38, 40 ms (1%), 1027484 occupied, 23972467 free *** Garbage collection starting *** GC 159 2-Oct-2003 17:03:40, 30 ms (1%), 1028000 occupied, 23971951 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_308 and e_283. e_283: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q11,q9,p16,p14) is replaced by e_311: 0=5*p14*q21 - 9*p16*q9 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 160 2-Oct-2003 17:03:43, 30 ms (1%), 1025724 occupied, 23974227 free *** Garbage collection starting *** GC 161 2-Oct-2003 17:03:45, 30 ms (1%), 1026932 occupied, 23973019 free *** Garbage collection starting *** GC 162 2-Oct-2003 17:03:47, 30 ms (1%), 1027594 occupied, 23972357 free *** Garbage collection starting *** GC 163 2-Oct-2003 17:03:49, 40 ms (1%), 1027996 occupied, 23971955 free *** Garbage collection starting *** GC 164 2-Oct-2003 17:03:51, 40 ms (1%), 1028318 occupied, 23971633 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_308 and e_55. e_55: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q12,q11,q9,p16,p15) is replaced by e_134: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q12,q9,p16,p15) 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 165 2-Oct-2003 17:03:53, 30 ms (1%), 1025470 occupied, 23974481 free *** Garbage collection starting *** GC 166 2-Oct-2003 17:03:55, 40 ms (1%), 1026720 occupied, 23973231 free *** Garbage collection starting *** GC 167 2-Oct-2003 17:03:57, 40 ms (1%), 1027566 occupied, 23972385 free *** Garbage collection starting *** GC 168 2-Oct-2003 17:03:59, 40 ms (1%), 1028060 occupied, 23971891 free *** Garbage collection starting *** GC 169 2-Oct-2003 17:04:01, 40 ms (1%), 1028646 occupied, 23971305 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_308 and e_296. e_296: 0=5*p14*q12 - 7*p16*q11 is replaced by e_179: 0=5*p14*q12 - 14*p16*q9 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 170 2-Oct-2003 17:04:04, 40 ms (1%), 1025814 occupied, 23974137 free *** Garbage collection starting *** GC 171 2-Oct-2003 17:04:06, 40 ms (1%), 1026924 occupied, 23973027 free *** Garbage collection starting *** GC 172 2-Oct-2003 17:04:08, 30 ms (1%), 1027684 occupied, 23972267 free *** Garbage collection starting *** GC 173 2-Oct-2003 17:04:10, 30 ms (1%), 1028306 occupied, 23971645 free *** Garbage collection starting *** GC 174 2-Oct-2003 17:04:12, 40 ms (1%), 1028566 occupied, 23971385 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_308 and e_273. e_273: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q11,q10,p16,p15) is replaced by e_321: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q10,q9,p16,p15) Step 116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 175 2-Oct-2003 17:04:15, 40 ms (1%), 1025984 occupied, 23973967 free *** Garbage collection starting *** GC 176 2-Oct-2003 17:04:17, 40 ms (1%), 1027056 occupied, 23972895 free *** Garbage collection starting *** GC 177 2-Oct-2003 17:04:19, 30 ms (1%), 1027742 occupied, 23972209 free *** Garbage collection starting *** GC 178 2-Oct-2003 17:04:21, 30 ms (1%), 1027986 occupied, 23971965 free *** Garbage collection starting *** GC 179 2-Oct-2003 17:04:24, 30 ms (1%), 1028508 occupied, 23971443 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_42 and e_321. e_321: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q10,q9,p16,p15) is replaced by e_325: 0=5*p15*q21 - 3*p16*q9 Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 180 2-Oct-2003 17:04:26, 30 ms (1%), 1026326 occupied, 23973625 free *** Garbage collection starting *** GC 181 2-Oct-2003 17:04:28, 30 ms (1%), 1026410 occupied, 23973541 free *** Garbage collection starting *** GC 182 2-Oct-2003 17:04:30, 30 ms (1%), 1027596 occupied, 23972355 free *** Garbage collection starting *** GC 183 2-Oct-2003 17:04:32, 40 ms (1%), 1028370 occupied, 23971581 free *** Garbage collection starting *** GC 184 2-Oct-2003 17:04:35, 30 ms (1%), 1028730 occupied, 23971221 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 185 2-Oct-2003 17:04:39, 40 ms (1%), 1090394 occupied, 23909552 free Eliminate q21 from e_20 and e_255. e_255: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q15,q12,q4,p9,p3) is replaced by e_331: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q12,q5,q4,p9,p3) 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 186 2-Oct-2003 17:04:43, 40 ms (1%), 1026242 occupied, 23973709 free *** Garbage collection starting *** GC 187 2-Oct-2003 17:04:45, 40 ms (1%), 1027968 occupied, 23971983 free *** Garbage collection starting *** GC 188 2-Oct-2003 17:04:48, 40 ms (1%), 1028716 occupied, 23971235 free *** Garbage collection starting *** GC 189 2-Oct-2003 17:04:50, 30 ms (1%), 1028854 occupied, 23971097 free *** Garbage collection starting *** GC 190 2-Oct-2003 17:04:52, 40 ms (1%), 1029090 occupied, 23970861 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q6 from e_341 and e_70. e_70: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q11,q6,q1,p15,p13,p10,p5) is replaced by e_336: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q11,q1,p15,p13,p10,p5) 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 191 2-Oct-2003 17:04:56, 40 ms (1%), 1026724 occupied, 23973227 free *** Garbage collection starting *** GC 192 2-Oct-2003 17:04:58, 30 ms (1%), 1028042 occupied, 23971909 free *** Garbage collection starting *** GC 193 2-Oct-2003 17:05:00, 30 ms (1%), 1028806 occupied, 23971145 free *** Garbage collection starting *** GC 194 2-Oct-2003 17:05:02, 40 ms (1%), 1028932 occupied, 23971019 free *** Garbage collection starting *** GC 195 2-Oct-2003 17:05:04, 30 ms (1%), 1029750 occupied, 23970201 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 17:05:09, 40 ms (1%), 1094146 occupied, 23905797 free *** Garbage collection starting *** GC 197 2-Oct-2003 17:05:14, 40 ms (1%), 1035054 occupied, 23964897 free Eliminate q20 from e_302 and e_299. e_302: 0=5*p8*q12 - 6*p9*q20 is replaced by e_97: 0=6*p16*q9 - 5*p8*q12 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 198 2-Oct-2003 17:05:18, 30 ms (1%), 1026926 occupied, 23973025 free *** Garbage collection starting *** GC 199 2-Oct-2003 17:05:20, 40 ms (1%), 1028080 occupied, 23971871 free *** Garbage collection starting *** GC 200 2-Oct-2003 17:05:22, 40 ms (1%), 1029038 occupied, 23970912 free *** Garbage collection starting *** GC 201 2-Oct-2003 17:05:24, 40 ms (1%), 1029328 occupied, 23970623 free *** Garbage collection starting *** GC 202 2-Oct-2003 17:05:27, 30 ms (1%), 1029480 occupied, 23970471 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q7 from e_216 and e_236. e_236: 0=p15*q7 + 2*p6*q11 is replaced by e_68: 0=p11*q1 - p6*q11 Step 122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 203 2-Oct-2003 17:05:29, 30 ms (1%), 1026600 occupied, 23973350 free shortening by 1 term Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 204 2-Oct-2003 17:05:32, 40 ms (1%), 1026572 occupied, 23973378 free *** Garbage collection starting *** GC 205 2-Oct-2003 17:05:34, 30 ms (1%), 1026622 occupied, 23973328 free *** Garbage collection starting *** GC 206 2-Oct-2003 17:05:36, 30 ms (1%), 1027808 occupied, 23972142 free *** Garbage collection starting *** GC 207 2-Oct-2003 17:05:38, 30 ms (1%), 1029126 occupied, 23970824 free *** Garbage collection starting *** GC 208 2-Oct-2003 17:05:40, 30 ms (1%), 1029604 occupied, 23970346 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 209 2-Oct-2003 17:05:44, 40 ms (1%), 1116288 occupied, 23883660 free *** Garbage collection starting *** GC 210 2-Oct-2003 17:05:49, 40 ms (1%), 1092700 occupied, 23907246 free *** Garbage collection starting *** GC 211 2-Oct-2003 17:05:54, 40 ms (1%), 1072397 occupied, 23927550 free Eliminate q14 from e_91 and e_57. e_57: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q16,q14,q8,p12,p11,p6) is replaced by e_4: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q16,q8,p12,p11,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 212 2-Oct-2003 17:05:57, 30 ms (1%), 1027964 occupied, 23971985 free *** Garbage collection starting *** GC 213 2-Oct-2003 17:05:59, 40 ms (1%), 1029184 occupied, 23970766 free *** Garbage collection starting *** GC 214 2-Oct-2003 17:06:01, 30 ms (1%), 1030074 occupied, 23969875 free *** Garbage collection starting *** GC 215 2-Oct-2003 17:06:03, 40 ms (1%), 1030406 occupied, 23969544 free *** Garbage collection starting *** GC 216 2-Oct-2003 17:06:05, 40 ms (1%), 1030644 occupied, 23969305 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_30 and e_29. e_29: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q14,q12,q5,p16,p9,p2) is replaced by e_40: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q12,q5,q3,p16,p9,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 217 2-Oct-2003 17:06:08, 40 ms (1%), 1027526 occupied, 23972424 free *** Garbage collection starting *** GC 218 2-Oct-2003 17:06:10, 40 ms (1%), 1029130 occupied, 23970820 free *** Garbage collection starting *** GC 219 2-Oct-2003 17:06:12, 40 ms (1%), 1030050 occupied, 23969900 free *** Garbage collection starting *** GC 220 2-Oct-2003 17:06:14, 40 ms (1%), 1030856 occupied, 23969094 free *** Garbage collection starting *** GC 221 2-Oct-2003 17:06:16, 30 ms (1%), 1031428 occupied, 23968522 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 222 2-Oct-2003 17:06:21, 40 ms (1%), 1128033 occupied, 23871914 free Eliminate q18 from e_303 and e_306. e_306: 5 terms, 10 factors, with derivatives of functions of all variables: (q18,q17,q8,q7,q6,p6,p5) is replaced by e_151: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q8,q7,q6,p13,p6,p5) 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 : *** Garbage collection starting *** GC 223 2-Oct-2003 17:06:24, 30 ms (1%), 1027764 occupied, 23972186 free *** Garbage collection starting *** GC 224 2-Oct-2003 17:06:26, 40 ms (1%), 1029680 occupied, 23970269 free *** Garbage collection starting *** GC 225 2-Oct-2003 17:06:28, 40 ms (1%), 1030788 occupied, 23969162 free *** Garbage collection starting *** GC 226 2-Oct-2003 17:06:30, 40 ms (1%), 1031566 occupied, 23968384 free *** Garbage collection starting *** GC 227 2-Oct-2003 17:06:32, 30 ms (1%), 1031890 occupied, 23968060 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_88 and e_4. e_4: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q16,q8,p12,p11,p6,p2) is replaced by e_210: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q8,p12,p11,p4,p2) 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 228 2-Oct-2003 17:06:35, 30 ms (1%), 1028494 occupied, 23971456 free *** Garbage collection starting *** GC 229 2-Oct-2003 17:06:37, 40 ms (1%), 1030092 occupied, 23969858 free *** Garbage collection starting *** GC 230 2-Oct-2003 17:06:39, 40 ms (1%), 1031180 occupied, 23968770 free *** Garbage collection starting *** GC 231 2-Oct-2003 17:06:42, 30 ms (1%), 1031816 occupied, 23968134 free *** Garbage collection starting *** GC 232 2-Oct-2003 17:06:44, 30 ms (1%), 1032208 occupied, 23967742 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_93 and e_98. e_98: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q17,q11,q10,q6,p7,p5) is replaced by e_213: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q6,p7,p5) 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 233 2-Oct-2003 17:06:48, 40 ms (1%), 1028238 occupied, 23971712 free *** Garbage collection starting *** GC 234 2-Oct-2003 17:06:50, 30 ms (1%), 1029774 occupied, 23970176 free *** Garbage collection starting *** GC 235 2-Oct-2003 17:06:52, 30 ms (1%), 1030794 occupied, 23969156 free *** Garbage collection starting *** GC 236 2-Oct-2003 17:06:54, 30 ms (1%), 1031850 occupied, 23968100 free *** Garbage collection starting *** GC 237 2-Oct-2003 17:06:56, 30 ms (1%), 1032528 occupied, 23967422 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_95 and e_100. e_100: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q18,q10,q9,q8,p7,p6) is replaced by e_239: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q8,p7,p6) 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 238 2-Oct-2003 17:07:00, 30 ms (1%), 1028606 occupied, 23971344 free *** Garbage collection starting *** GC 239 2-Oct-2003 17:07:02, 30 ms (1%), 1029938 occupied, 23970012 free *** Garbage collection starting *** GC 240 2-Oct-2003 17:07:04, 40 ms (1%), 1031364 occupied, 23968586 free *** Garbage collection starting *** GC 241 2-Oct-2003 17:07:06, 40 ms (1%), 1032174 occupied, 23967775 free *** Garbage collection starting *** GC 242 2-Oct-2003 17:07:08, 40 ms (1%), 1032714 occupied, 23967235 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_22 and e_245. e_245: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q15,q12,q3,p9,p3,p1) is replaced by e_99: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q13,q12,q3,p9,p1) Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 243 2-Oct-2003 17:07:12, 40 ms (1%), 1029084 occupied, 23970866 free *** Garbage collection starting *** GC 244 2-Oct-2003 17:07:14, 30 ms (1%), 1029710 occupied, 23970240 free *** Garbage collection starting *** GC 245 2-Oct-2003 17:07:16, 30 ms (1%), 1030934 occupied, 23969016 free *** Garbage collection starting *** GC 246 2-Oct-2003 17:07:18, 30 ms (1%), 1032328 occupied, 23967622 free *** Garbage collection starting *** GC 247 2-Oct-2003 17:07:20, 40 ms (1%), 1033246 occupied, 23966704 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_105 and e_99. e_99: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q13,q12,q3,p9,p1) is replaced by e_75: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q12,q3,q2,p9,p1) 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 248 2-Oct-2003 17:07:23, 30 ms (1%), 1030146 occupied, 23969804 free *** Garbage collection starting *** GC 249 2-Oct-2003 17:07:25, 40 ms (1%), 1031848 occupied, 23968102 free *** Garbage collection starting *** GC 250 2-Oct-2003 17:07:27, 30 ms (1%), 1032736 occupied, 23967214 free *** Garbage collection starting *** GC 251 2-Oct-2003 17:07:29, 30 ms (1%), 1033334 occupied, 23966616 free *** Garbage collection starting *** GC 252 2-Oct-2003 17:07:32, 40 ms (1%), 1033910 occupied, 23966040 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_318 and e_258. e_258: 6 terms, 12 factors, with derivatives of functions of all variables: (q15,q13,q11,q9,p7,p3,p1) is replaced by e_56: 6 terms, 12 factors, with derivatives of functions of all variables: (q15,q11,q10,q9,p7,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 253 2-Oct-2003 17:07:34, 40 ms (1%), 1030898 occupied, 23969052 free *** Garbage collection starting *** GC 254 2-Oct-2003 17:07:36, 30 ms (1%), 1032900 occupied, 23967049 free shortening by 1 term Step 135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 255 2-Oct-2003 17:07:39, 40 ms (1%), 1030122 occupied, 23969828 free shortening by 2 terms Step 136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 256 2-Oct-2003 17:07:41, 30 ms (1%), 1029246 occupied, 23970704 free *** Garbage collection starting *** GC 257 2-Oct-2003 17:07:43, 40 ms (1%), 1031398 occupied, 23968552 free *** Garbage collection starting *** GC 258 2-Oct-2003 17:07:45, 40 ms (1%), 1033098 occupied, 23966852 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 : *** Garbage collection starting *** GC 259 2-Oct-2003 17:07:48, 30 ms (1%), 1029646 occupied, 23970304 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 260 2-Oct-2003 17:07:50, 40 ms (1%), 1030078 occupied, 23969872 free *** Garbage collection starting *** GC 261 2-Oct-2003 17:07:52, 30 ms (1%), 1032142 occupied, 23967808 free *** Garbage collection starting *** GC 262 2-Oct-2003 17:07:54, 40 ms (1%), 1033802 occupied, 23966148 free *** Garbage collection starting *** GC 263 2-Oct-2003 17:07:57, 40 ms (1%), 1035454 occupied, 23964496 free *** Garbage collection starting *** GC 264 2-Oct-2003 17:07:59, 40 ms (1%), 1036480 occupied, 23963470 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 265 2-Oct-2003 17:08:04, 40 ms (1%), 1088637 occupied, 23911309 free *** Garbage collection starting *** GC 266 2-Oct-2003 17:08:09, 40 ms (1%), 1132140 occupied, 23867799 free Eliminate q11 from e_68 and e_95. e_95: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q11,q9,p7,p6) is replaced by e_183: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q9,q1,p11,p7,p6) 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 267 2-Oct-2003 17:08:11, 30 ms (1%), 1030536 occupied, 23969412 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 268 2-Oct-2003 17:08:13, 40 ms (1%), 1029908 occupied, 23970042 free *** Garbage collection starting *** GC 269 2-Oct-2003 17:08:16, 30 ms (1%), 1030922 occupied, 23969028 free *** Garbage collection starting *** GC 270 2-Oct-2003 17:08:18, 30 ms (1%), 1033244 occupied, 23966706 free *** Garbage collection starting *** GC 271 2-Oct-2003 17:08:20, 30 ms (1%), 1035814 occupied, 23964136 free shortening by 2 terms Step 141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 272 2-Oct-2003 17:08:23, 30 ms (1%), 1031462 occupied, 23968488 free *** Garbage collection starting *** GC 273 2-Oct-2003 17:08:25, 40 ms (1%), 1032302 occupied, 23967648 free *** Garbage collection starting *** GC 274 2-Oct-2003 17:08:27, 30 ms (1%), 1032834 occupied, 23967116 free *** Garbage collection starting *** GC 275 2-Oct-2003 17:08:29, 40 ms (1%), 1033518 occupied, 23966432 free *** Garbage collection starting *** GC 276 2-Oct-2003 17:08:32, 40 ms (1%), 1034960 occupied, 23964990 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_30 and e_263. e_263: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q14,q13,q2,p16,p11,p9) is replaced by e_165: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q13,q3,q2,p16,p11) 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 277 2-Oct-2003 17:08:36, 40 ms (1%), 1030358 occupied, 23969591 free *** Garbage collection starting *** GC 278 2-Oct-2003 17:08:39, 30 ms (1%), 1031716 occupied, 23968233 free shortening by 2 terms Step 144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 279 2-Oct-2003 17:08:41, 30 ms (1%), 1030614 occupied, 23969335 free *** Garbage collection starting *** GC 280 2-Oct-2003 17:08:43, 30 ms (1%), 1030962 occupied, 23968987 free *** Garbage collection starting *** GC 281 2-Oct-2003 17:08:45, 30 ms (1%), 1034152 occupied, 23965797 free shortening by 1 term Step 145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 282 2-Oct-2003 17:08:48, 30 ms (1%), 1030836 occupied, 23969113 free *** Garbage collection starting *** GC 283 2-Oct-2003 17:08:50, 30 ms (1%), 1031474 occupied, 23968475 free shortening by 1 term Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 284 2-Oct-2003 17:08:52, 30 ms (1%), 1030684 occupied, 23969265 free *** Garbage collection starting *** GC 285 2-Oct-2003 17:08:55, 30 ms (1%), 1033904 occupied, 23966045 free *** Garbage collection starting *** GC 286 2-Oct-2003 17:08:57, 30 ms (1%), 1037214 occupied, 23962735 free *** Garbage collection starting *** GC 287 2-Oct-2003 17:08:59, 40 ms (1%), 1037986 occupied, 23961963 free *** Garbage collection starting *** GC 288 2-Oct-2003 17:09:02, 40 ms (1%), 1038774 occupied, 23961175 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 289 2-Oct-2003 17:09:07, 40 ms (1%), 1105501 occupied, 23894437 free *** Garbage collection starting *** GC 290 2-Oct-2003 17:09:12, 40 ms (1%), 1068475 occupied, 23931471 free Eliminate q11 from e_68 and e_250. e_250: 4 terms, 8 factors, with derivatives of functions of all variables: (q11,q10,q7,q1,p13,p8,p6,p2) is replaced by e_38: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q7,q1,p13,p11,p8,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 : *** Garbage collection starting *** GC 291 2-Oct-2003 17:09:16, 30 ms (1%), 1031284 occupied, 23968664 free *** Garbage collection starting *** GC 292 2-Oct-2003 17:09:18, 30 ms (1%), 1032544 occupied, 23967405 free *** Garbage collection starting *** GC 293 2-Oct-2003 17:09:20, 40 ms (1%), 1034006 occupied, 23965943 free *** Garbage collection starting *** GC 294 2-Oct-2003 17:09:23, 40 ms (1%), 1034834 occupied, 23965115 free *** Garbage collection starting *** GC 295 2-Oct-2003 17:09:25, 40 ms (1%), 1035478 occupied, 23964471 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 296 2-Oct-2003 17:09:30, 50 ms (1%), 1121411 occupied, 23878533 free Eliminate q7 from e_216 and e_219. e_219: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q7,q1,p15,p14,p10,p5) is replaced by e_288: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q1,p15,p14,p11,p10,p5) 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 297 2-Oct-2003 17:09:33, 40 ms (1%), 1031810 occupied, 23968140 free *** Garbage collection starting *** GC 298 2-Oct-2003 17:09:36, 30 ms (1%), 1033084 occupied, 23966866 free *** Garbage collection starting *** GC 299 2-Oct-2003 17:09:38, 30 ms (1%), 1034352 occupied, 23965598 free *** Garbage collection starting *** GC 300 2-Oct-2003 17:09:40, 40 ms (1%), 1035244 occupied, 23964706 free *** Garbage collection starting *** GC 301 2-Oct-2003 17:09:43, 40 ms (1%), 1035792 occupied, 23964158 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_137 and e_344. e_344: 5 terms, 10 factors, with derivatives of functions of all variables: (q14,q11,q9,q3,p15,p11,p7,p2) is replaced by e_52: 5 terms, 10 factors, with derivatives of functions of all variables: (q11,q9,q3,p15,p14,p11,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 302 2-Oct-2003 17:09:46, 30 ms (1%), 1032128 occupied, 23967822 free *** Garbage collection starting *** GC 303 2-Oct-2003 17:09:49, 40 ms (1%), 1033292 occupied, 23966658 free *** Garbage collection starting *** GC 304 2-Oct-2003 17:09:51, 40 ms (1%), 1034328 occupied, 23965621 free *** Garbage collection starting *** GC 305 2-Oct-2003 17:09:53, 40 ms (1%), 1035236 occupied, 23964713 free *** Garbage collection starting *** GC 306 2-Oct-2003 17:09:56, 30 ms (1%), 1035976 occupied, 23963973 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_30 and e_201. e_201: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q14,q5,q4,p16,p12,p11,p9) is replaced by e_300: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q5,q4,q3,p16,p12,p11) Step 151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 307 2-Oct-2003 17:09:59, 40 ms (1%), 1032922 occupied, 23967027 free *** Garbage collection starting *** GC 308 2-Oct-2003 17:10:01, 40 ms (1%), 1033460 occupied, 23966489 free *** Garbage collection starting *** GC 309 2-Oct-2003 17:10:04, 30 ms (1%), 1034462 occupied, 23965487 free *** Garbage collection starting *** GC 310 2-Oct-2003 17:10:06, 40 ms (1%), 1035412 occupied, 23964537 free *** Garbage collection starting *** GC 311 2-Oct-2003 17:10:09, 40 ms (1%), 1036094 occupied, 23963855 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_30 and e_28. e_28: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q12,q4,p16,p9,p4,p2) is replaced by e_15: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q12,q4,q3,p16,p9,p4,p2) 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 312 2-Oct-2003 17:10:11, 40 ms (1%), 1032916 occupied, 23967034 free *** Garbage collection starting *** GC 313 2-Oct-2003 17:10:14, 30 ms (1%), 1034878 occupied, 23965072 free *** Garbage collection starting *** GC 314 2-Oct-2003 17:10:16, 40 ms (1%), 1035832 occupied, 23964118 free *** Garbage collection starting *** GC 315 2-Oct-2003 17:10:18, 30 ms (1%), 1036300 occupied, 23963649 free *** Garbage collection starting *** GC 316 2-Oct-2003 17:10:21, 40 ms (1%), 1036866 occupied, 23963083 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_93 and e_225. e_225: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q17,q10,q9,q7,q1,p7,p5) is replaced by e_283: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q7,q1,p7,p5) 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 317 2-Oct-2003 17:10:25, 40 ms (1%), 1033246 occupied, 23966703 free shortening by 1 term Step 155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 318 2-Oct-2003 17:10:28, 40 ms (1%), 1032346 occupied, 23967604 free *** Garbage collection starting *** GC 319 2-Oct-2003 17:10:30, 30 ms (1%), 1033346 occupied, 23966604 free *** Garbage collection starting *** GC 320 2-Oct-2003 17:10:33, 40 ms (1%), 1034714 occupied, 23965236 free *** Garbage collection starting *** GC 321 2-Oct-2003 17:10:35, 30 ms (1%), 1035356 occupied, 23964594 free *** Garbage collection starting *** GC 322 2-Oct-2003 17:10:38, 40 ms (1%), 1035874 occupied, 23964076 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_232 and e_336. e_336: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q11,q1,p15,p13,p10,p5) is replaced by e_273: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q11,q1,p15,p13,p12,p10) 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 323 2-Oct-2003 17:10:42, 40 ms (1%), 1032884 occupied, 23967066 free *** Garbage collection starting *** GC 324 2-Oct-2003 17:10:44, 30 ms (1%), 1034356 occupied, 23965594 free *** Garbage collection starting *** GC 325 2-Oct-2003 17:10:47, 30 ms (1%), 1035578 occupied, 23964372 free *** Garbage collection starting *** GC 326 2-Oct-2003 17:10:49, 40 ms (1%), 1036386 occupied, 23963564 free *** Garbage collection starting *** GC 327 2-Oct-2003 17:10:52, 40 ms (1%), 1036932 occupied, 23963018 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 328 2-Oct-2003 17:10:57, 30 ms (1%), 1065061 occupied, 23934888 free *** Garbage collection starting *** GC 329 2-Oct-2003 17:11:02, 40 ms (1%), 1104200 occupied, 23895738 free *** Garbage collection starting *** GC 330 2-Oct-2003 17:11:07, 40 ms (1%), 1130065 occupied, 23869871 free Eliminate q11 from e_68 and e_194. e_194: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q11,q7,p15,p7,p6) is replaced by e_321: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q7,q1,p15,p11,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 : shortening by 1 term Step 159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 331 2-Oct-2003 17:11:12, 40 ms (1%), 1033352 occupied, 23966597 free *** Garbage collection starting *** GC 332 2-Oct-2003 17:11:14, 30 ms (1%), 1034570 occupied, 23965380 free *** Garbage collection starting *** GC 333 2-Oct-2003 17:11:17, 30 ms (1%), 1035556 occupied, 23964394 free *** Garbage collection starting *** GC 334 2-Oct-2003 17:11:19, 30 ms (1%), 1036416 occupied, 23963534 free *** Garbage collection starting *** GC 335 2-Oct-2003 17:11:22, 30 ms (1%), 1037404 occupied, 23962546 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_102 and e_108. e_108: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q9,q7,p14,p13,p7) is replaced by e_332: 3 terms, 6 factors, with derivatives of functions of all variables: (q9,q7,p15,p14,p13) 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 336 2-Oct-2003 17:11:25, 40 ms (1%), 1033798 occupied, 23966152 free *** Garbage collection starting *** GC 337 2-Oct-2003 17:11:27, 40 ms (1%), 1035236 occupied, 23964714 free *** Garbage collection starting *** GC 338 2-Oct-2003 17:11:30, 40 ms (1%), 1036370 occupied, 23963580 free *** Garbage collection starting *** GC 339 2-Oct-2003 17:11:32, 40 ms (1%), 1037290 occupied, 23962660 free *** Garbage collection starting *** GC 340 2-Oct-2003 17:11:35, 40 ms (1%), 1037422 occupied, 23962528 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q7 from e_216 and e_102. e_102: 0=p15*q7 - 4*p7*q18 is replaced by e_335: 0=p11*q1 + 2*p7*q18 Step 161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 341 2-Oct-2003 17:11:38, 40 ms (1%), 1033544 occupied, 23966406 free *** Garbage collection starting *** GC 342 2-Oct-2003 17:11:41, 30 ms (1%), 1034882 occupied, 23965068 free *** Garbage collection starting *** GC 343 2-Oct-2003 17:11:43, 30 ms (1%), 1036200 occupied, 23963750 free *** Garbage collection starting *** GC 344 2-Oct-2003 17:11:46, 40 ms (1%), 1036952 occupied, 23962998 free *** Garbage collection starting *** GC 345 2-Oct-2003 17:11:48, 30 ms (1%), 1037150 occupied, 23962800 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 346 2-Oct-2003 17:11:54, 40 ms (1%), 1107409 occupied, 23892535 free *** Garbage collection starting *** GC 347 2-Oct-2003 17:11:59, 40 ms (1%), 1074823 occupied, 23925126 free *** Garbage collection starting *** GC 348 2-Oct-2003 17:12:04, 40 ms (1%), 1044639 occupied, 23955311 free Eliminate q11 from e_68 and e_111. e_111: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q11,q10,q8,p7,p6) is replaced by e_345: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q10,q8,q1,p11,p7,p6) 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 349 2-Oct-2003 17:12:08, 30 ms (1%), 1032382 occupied, 23967568 free *** Garbage collection starting *** GC 350 2-Oct-2003 17:12:11, 40 ms (1%), 1032920 occupied, 23967031 free *** Garbage collection starting *** GC 351 2-Oct-2003 17:12:13, 30 ms (1%), 1034622 occupied, 23965329 free *** Garbage collection starting *** GC 352 2-Oct-2003 17:12:15, 40 ms (1%), 1035232 occupied, 23964719 free *** Garbage collection starting *** GC 353 2-Oct-2003 17:12:17, 40 ms (1%), 1035806 occupied, 23964145 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 354 2-Oct-2003 17:12:22, 40 ms (1%), 1119566 occupied, 23880381 free *** Garbage collection starting *** GC 355 2-Oct-2003 17:12:28, 40 ms (1%), 1108673 occupied, 23891272 free Eliminate q7 from e_214 and e_7. e_7: 6 terms, 12 factors, with derivatives of functions of all variables: (q17,q15,q7,q5,q4,q2,p5,p3,p1) is replaced by e_80: 6 terms, 12 factors, with derivatives of functions of all variables: (q17,q15,q6,q5,q4,q2,p5,p3,p1) Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 356 2-Oct-2003 17:12:31, 40 ms (1%), 1034066 occupied, 23965885 free *** Garbage collection starting *** GC 357 2-Oct-2003 17:12:34, 30 ms (1%), 1035540 occupied, 23964411 free *** Garbage collection starting *** GC 358 2-Oct-2003 17:12:36, 40 ms (1%), 1036746 occupied, 23963204 free *** Garbage collection starting *** GC 359 2-Oct-2003 17:12:38, 30 ms (1%), 1037444 occupied, 23962507 free *** Garbage collection starting *** GC 360 2-Oct-2003 17:12:40, 30 ms (1%), 1038010 occupied, 23961941 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 361 2-Oct-2003 17:12:46, 30 ms (1%), 1035227 occupied, 23964724 free Eliminate q11 from e_68 and e_339. e_339: 6 terms, 12 factors, with derivatives of functions of all variables: (q11,q10,q6,q1,p14,p13,p10,p8,p6) is replaced by e_82: 6 terms, 12 factors, with derivatives of functions of all variables: (q10,q6,q1,p14,p13,p11,p10,p8) Step 166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 362 2-Oct-2003 17:12:50, 30 ms (1%), 1033910 occupied, 23966040 free *** Garbage collection starting *** GC 363 2-Oct-2003 17:12:52, 30 ms (1%), 1035000 occupied, 23964951 free *** Garbage collection starting *** GC 364 2-Oct-2003 17:12:54, 40 ms (1%), 1036100 occupied, 23963851 free *** Garbage collection starting *** GC 365 2-Oct-2003 17:12:56, 30 ms (1%), 1037246 occupied, 23962705 free *** Garbage collection starting *** GC 366 2-Oct-2003 17:12:59, 30 ms (1%), 1038040 occupied, 23961911 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_137 and e_198. e_198: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q16,q14,q9,q5,p14,p8,p7,p2) is replaced by e_157: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q16,q9,q5,q3,p14,p8,p7,p2) 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 367 2-Oct-2003 17:13:02, 30 ms (1%), 1034370 occupied, 23965581 free *** Garbage collection starting *** GC 368 2-Oct-2003 17:13:04, 20 ms (1%), 1035492 occupied, 23964459 free *** Garbage collection starting *** GC 369 2-Oct-2003 17:13:07, 30 ms (1%), 1036668 occupied, 23963283 free *** Garbage collection starting *** GC 370 2-Oct-2003 17:13:09, 30 ms (1%), 1037626 occupied, 23962325 free *** Garbage collection starting *** GC 371 2-Oct-2003 17:13:11, 40 ms (1%), 1038436 occupied, 23961515 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_145 and e_165. e_165: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q13,q3,q2,p16,p11) is replaced by e_340: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q12,q3,q2,p16,p2) Step 168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 372 2-Oct-2003 17:13:14, 30 ms (1%), 1034438 occupied, 23965513 free *** Garbage collection starting *** GC 373 2-Oct-2003 17:13:16, 40 ms (1%), 1036048 occupied, 23963903 free *** Garbage collection starting *** GC 374 2-Oct-2003 17:13:19, 40 ms (1%), 1037086 occupied, 23962865 free *** Garbage collection starting *** GC 375 2-Oct-2003 17:13:21, 30 ms (1%), 1037764 occupied, 23962187 free *** Garbage collection starting *** GC 376 2-Oct-2003 17:13:23, 40 ms (1%), 1038240 occupied, 23961711 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_76 and e_58. e_58: 7 terms, 14 factors, with derivatives of functions of all variables: (q16,q15,q13,q7,q6,p13,p12,p10,p5) is replaced by e_29: 7 terms, 14 factors, with derivatives of functions of all variables: (q16,q15,q7,q6,q2,p13,p12,p10,p5) 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 377 2-Oct-2003 17:13:27, 40 ms (1%), 1035086 occupied, 23964865 free *** Garbage collection starting *** GC 378 2-Oct-2003 17:13:30, 30 ms (1%), 1037262 occupied, 23962689 free *** Garbage collection starting *** GC 379 2-Oct-2003 17:13:32, 40 ms (1%), 1038392 occupied, 23961559 free *** Garbage collection starting *** GC 380 2-Oct-2003 17:13:34, 40 ms (1%), 1039132 occupied, 23960819 free *** Garbage collection starting *** GC 381 2-Oct-2003 17:13:37, 40 ms (1%), 1039646 occupied, 23960305 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_75 and e_22. e_22: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q13,q12,p9,p3,p1) is replaced by e_172: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q12,q3,q2,p9,p3) 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 382 2-Oct-2003 17:13:41, 40 ms (1%), 1034802 occupied, 23965149 free *** Garbage collection starting *** GC 383 2-Oct-2003 17:13:44, 30 ms (1%), 1036060 occupied, 23963891 free *** Garbage collection starting *** GC 384 2-Oct-2003 17:13:46, 30 ms (1%), 1036968 occupied, 23962983 free *** Garbage collection starting *** GC 385 2-Oct-2003 17:13:48, 40 ms (1%), 1037704 occupied, 23962247 free *** Garbage collection starting *** GC 386 2-Oct-2003 17:13:51, 40 ms (1%), 1038174 occupied, 23961777 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_172 and e_331. e_331: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q12,q5,q4,p9,p3) is replaced by e_207: 0=(q2 - q3 - q4 + q5)*p9 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 387 2-Oct-2003 17:13:54, 40 ms (1%), 1035568 occupied, 23964383 free *** Garbage collection starting *** GC 388 2-Oct-2003 17:13:56, 40 ms (1%), 1036780 occupied, 23963171 free *** Garbage collection starting *** GC 389 2-Oct-2003 17:13:58, 40 ms (1%), 1037682 occupied, 23962269 free *** Garbage collection starting *** GC 390 2-Oct-2003 17:14:01, 30 ms (1%), 1038528 occupied, 23961423 free *** Garbage collection starting *** GC 391 2-Oct-2003 17:14:03, 40 ms (1%), 1039206 occupied, 23960745 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_84 and e_80. e_80: 6 terms, 12 factors, with derivatives of functions of all variables: (q17,q15,q6,q5,q4,q2,p5,p3,p1) is replaced by e_27: 6 terms, 12 factors, with derivatives of functions of all variables: (q15,q13,q6,q5,q4,p5,p3,p1) 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 392 2-Oct-2003 17:14:07, 30 ms (1%), 1036082 occupied, 23963869 free shortening by 1 term Step 173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 393 2-Oct-2003 17:14:10, 40 ms (1%), 1035712 occupied, 23964239 free *** Garbage collection starting *** GC 394 2-Oct-2003 17:14:12, 40 ms (1%), 1037370 occupied, 23962581 free *** Garbage collection starting *** GC 395 2-Oct-2003 17:14:14, 40 ms (1%), 1038598 occupied, 23961353 free *** Garbage collection starting *** GC 396 2-Oct-2003 17:14:17, 40 ms (1%), 1039268 occupied, 23960683 free *** Garbage collection starting *** GC 397 2-Oct-2003 17:14:19, 30 ms (1%), 1039506 occupied, 23960445 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_152 and e_240. e_240: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q13,q11,q9,q1,p16,p15,p14,p10) is replaced by e_98: 6 terms, 12 factors, with derivatives of functions of all variables: (q13,q11,q9,q2,q1,p16,p15,p14,p10) Step 174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 398 2-Oct-2003 17:14:24, 40 ms (1%), 1035564 occupied, 23964387 free *** Garbage collection starting *** GC 399 2-Oct-2003 17:14:26, 40 ms (1%), 1036636 occupied, 23963315 free *** Garbage collection starting *** GC 400 2-Oct-2003 17:14:29, 30 ms (1%), 1036772 occupied, 23963179 free *** Garbage collection starting *** GC 401 2-Oct-2003 17:14:31, 40 ms (1%), 1037384 occupied, 23962567 free *** Garbage collection starting *** GC 402 2-Oct-2003 17:14:34, 40 ms (1%), 1038724 occupied, 23961227 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_318 and e_176. e_176: 9 terms, 18 factors, with derivatives of functions of all variables: (q19,q15,q13,q10,q9,q3,p7,p3,p1) is replaced by e_100: 9 terms, 18 factors, with derivatives of functions of all variables: (q19,q15,q11,q10,q9,q3,p7,p3,p1) Step 176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 403 2-Oct-2003 17:14:39, 40 ms (1%), 1035996 occupied, 23963955 free *** Garbage collection starting *** GC 404 2-Oct-2003 17:14:41, 30 ms (1%), 1036840 occupied, 23963111 free *** Garbage collection starting *** GC 405 2-Oct-2003 17:14:44, 30 ms (1%), 1037846 occupied, 23962105 free *** Garbage collection starting *** GC 406 2-Oct-2003 17:14:46, 40 ms (1%), 1039248 occupied, 23960703 free *** Garbage collection starting *** GC 407 2-Oct-2003 17:14:49, 40 ms (1%), 1039932 occupied, 23960019 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_56 and e_220. e_220: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q15,q11,q10,q9,q3,p7,p3,p1) is replaced by e_221: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q3,p7,p3,p1) 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 408 2-Oct-2003 17:14:52, 30 ms (1%), 1037508 occupied, 23962443 free *** Garbage collection starting *** GC 409 2-Oct-2003 17:14:54, 40 ms (1%), 1038852 occupied, 23961099 free *** Garbage collection starting *** GC 410 2-Oct-2003 17:14:57, 40 ms (1%), 1040156 occupied, 23959795 free *** Garbage collection starting *** GC 411 2-Oct-2003 17:14:59, 40 ms (1%), 1041052 occupied, 23958899 free *** Garbage collection starting *** GC 412 2-Oct-2003 17:15:02, 40 ms (1%), 1041478 occupied, 23958473 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 413 2-Oct-2003 17:15:07, 40 ms (1%), 1070509 occupied, 23929442 free Eliminate q21 from e_123 and e_124. e_124: 11 terms, 22 factors, with derivatives of functions of all variables: (q21,q15,q13,q7,q6,q5,q4,q2,p16,p13,p12,p11,p10) is replaced by e_222: 11 terms, 22 factors, with derivatives of functions of all variables: (q15,q13,q5,q4,q2,p12,p11,p10) Step 179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 414 2-Oct-2003 17:15:12, 30 ms (1%), 1036902 occupied, 23963049 free *** Garbage collection starting *** GC 415 2-Oct-2003 17:15:14, 40 ms (1%), 1039022 occupied, 23960929 free *** Garbage collection starting *** GC 416 2-Oct-2003 17:15:17, 30 ms (1%), 1039866 occupied, 23960085 free *** Garbage collection starting *** GC 417 2-Oct-2003 17:15:19, 40 ms (1%), 1040412 occupied, 23959539 free *** Garbage collection starting *** GC 418 2-Oct-2003 17:15:22, 30 ms (1%), 1040590 occupied, 23959361 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_76 and e_243. e_243: 6 terms, 12 factors, with derivatives of functions of all variables: (q18,q17,q14,q13,q7,p13,p11,p10,p5,p3) is replaced by e_94: 6 terms, 12 factors, with derivatives of functions of all variables: (q18,q17,q14,q7,q2,p13,p11,p10,p5,p3) 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 : *** Garbage collection starting *** GC 419 2-Oct-2003 17:15:25, 30 ms (1%), 1037390 occupied, 23962561 free *** Garbage collection starting *** GC 420 2-Oct-2003 17:15:28, 30 ms (1%), 1038794 occupied, 23961157 free *** Garbage collection starting *** GC 421 2-Oct-2003 17:15:30, 30 ms (1%), 1040098 occupied, 23959853 free *** Garbage collection starting *** GC 422 2-Oct-2003 17:15:33, 40 ms (1%), 1040996 occupied, 23958955 free *** Garbage collection starting *** GC 423 2-Oct-2003 17:15:36, 40 ms (1%), 1041160 occupied, 23958791 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 424 2-Oct-2003 17:15:41, 40 ms (1%), 1097217 occupied, 23902731 free Eliminate q19 from e_192 and e_71. e_71: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q19,q7,q6,q1,p14,p13,p12,p10,p5) is replaced by e_101: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q9,q7,q6,q1,p14,p13,p12,p10,p5) Step 181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 425 2-Oct-2003 17:15:44, 30 ms (1%), 1036798 occupied, 23963153 free *** Garbage collection starting *** GC 426 2-Oct-2003 17:15:47, 40 ms (1%), 1037690 occupied, 23962260 free *** Garbage collection starting *** GC 427 2-Oct-2003 17:15:49, 40 ms (1%), 1039406 occupied, 23960545 free *** Garbage collection starting *** GC 428 2-Oct-2003 17:15:52, 40 ms (1%), 1040494 occupied, 23959456 free *** Garbage collection starting *** GC 429 2-Oct-2003 17:15:55, 30 ms (1%), 1041076 occupied, 23958875 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 430 2-Oct-2003 17:16:00, 40 ms (1%), 1113915 occupied, 23886031 free Eliminate q14 from e_137 and e_328. e_328: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q14,q10,q9,q2,p14,p8,p7,p2,p1) is replaced by e_26: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q10,q9,q3,q2,p14,p8,p7,p2,p1) 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 431 2-Oct-2003 17:16:04, 40 ms (1%), 1038188 occupied, 23961763 free *** Garbage collection starting *** GC 432 2-Oct-2003 17:16:06, 30 ms (1%), 1039438 occupied, 23960512 free *** Garbage collection starting *** GC 433 2-Oct-2003 17:16:09, 40 ms (1%), 1041014 occupied, 23958936 free *** Garbage collection starting *** GC 434 2-Oct-2003 17:16:12, 40 ms (1%), 1042010 occupied, 23957940 free *** Garbage collection starting *** GC 435 2-Oct-2003 17:16:14, 30 ms (1%), 1042464 occupied, 23957486 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 436 2-Oct-2003 17:16:20, 40 ms (1%), 1119949 occupied, 23879998 free *** Garbage collection starting *** GC 437 2-Oct-2003 17:16:25, 40 ms (1%), 1113467 occupied, 23886479 free Eliminate q17 from e_154 and e_156. e_156: 7 terms, 14 factors, with derivatives of functions of all variables: (q17,q15,q13,q12,q3,q2,p9,p5,p3,p1) is replaced by e_231: 7 terms, 14 factors, with derivatives of functions of all variables: (q15,q13,q5,q3,q2,p3,p1) 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 438 2-Oct-2003 17:16:29, 30 ms (1%), 1039092 occupied, 23960858 free *** Garbage collection starting *** GC 439 2-Oct-2003 17:16:32, 30 ms (1%), 1040812 occupied, 23959139 free *** Garbage collection starting *** GC 440 2-Oct-2003 17:16:35, 30 ms (1%), 1041856 occupied, 23958095 free *** Garbage collection starting *** GC 441 2-Oct-2003 17:16:37, 30 ms (1%), 1042318 occupied, 23957633 free *** Garbage collection starting *** GC 442 2-Oct-2003 17:16:40, 40 ms (1%), 1042770 occupied, 23957181 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_53 and e_251. e_251: 7 terms, 14 factors, with derivatives of functions of all variables: (q17,q16,q15,q7,q6,q5,p13,p12,p11,p5) is replaced by e_66: 7 terms, 14 factors, with derivatives of functions of all variables: (q16,q15,q14,q7,q6,q5,p13,p12,p11,p5) 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 443 2-Oct-2003 17:16:43, 40 ms (1%), 1039054 occupied, 23960897 free *** Garbage collection starting *** GC 444 2-Oct-2003 17:16:46, 40 ms (1%), 1040914 occupied, 23959037 free *** Garbage collection starting *** GC 445 2-Oct-2003 17:16:49, 40 ms (1%), 1041870 occupied, 23958081 free *** Garbage collection starting *** GC 446 2-Oct-2003 17:16:52, 40 ms (1%), 1042564 occupied, 23957387 free *** Garbage collection starting *** GC 447 2-Oct-2003 17:16:54, 40 ms (1%), 1043040 occupied, 23956911 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 448 2-Oct-2003 17:17:00, 40 ms (1%), 1039677 occupied, 23960274 free *** Garbage collection starting *** GC 449 2-Oct-2003 17:17:05, 30 ms (1%), 1052794 occupied, 23947155 free *** Garbage collection starting *** GC 450 2-Oct-2003 17:17:11, 40 ms (1%), 1074611 occupied, 23925339 free *** Garbage collection starting *** GC 451 2-Oct-2003 17:17:16, 40 ms (1%), 1096638 occupied, 23903310 free Eliminate q13 from e_76 and e_61. e_61: 9 terms, 18 factors, with derivatives of functions of all variables: (q17,q15,q14,q13,q7,q6,q4,p13,p12,p10,p5) is replaced by e_233: 9 terms, 18 factors, with derivatives of functions of all variables: (q17,q15,q14,q7,q6,q4,q2,p13,p12,p10,p5) Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 452 2-Oct-2003 17:17:21, 40 ms (1%), 1039524 occupied, 23960427 free *** Garbage collection starting *** GC 453 2-Oct-2003 17:17:24, 30 ms (1%), 1040894 occupied, 23959055 free *** Garbage collection starting *** GC 454 2-Oct-2003 17:17:26, 40 ms (1%), 1042034 occupied, 23957916 free *** Garbage collection starting *** GC 455 2-Oct-2003 17:17:29, 40 ms (1%), 1043010 occupied, 23956939 free *** Garbage collection starting *** GC 456 2-Oct-2003 17:17:32, 40 ms (1%), 1043544 occupied, 23956406 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 457 2-Oct-2003 17:17:38, 40 ms (1%), 1083556 occupied, 23916392 free *** Garbage collection starting *** GC 458 2-Oct-2003 17:17:43, 40 ms (1%), 1044103 occupied, 23955847 free *** Garbage collection starting *** GC 459 2-Oct-2003 17:17:49, 40 ms (1%), 1107315 occupied, 23892634 free *** Garbage collection starting *** GC 460 2-Oct-2003 17:17:54, 40 ms (1%), 1084288 occupied, 23915659 free *** Garbage collection starting *** GC 461 2-Oct-2003 17:18:00, 40 ms (1%), 1069967 occupied, 23929980 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_13 we get the alternative equations : 0=p13 0=q1 New level : 1. CRACK is now called with the new equation e_72 : 0=p13 e_192,e_76,e_301,e_312 are consequences of e_72 Step 188: Hot list of urgent steps : The list of inequalities got extended by: An expression with 6 terms Substitution of p13 found in e_72 : p13=0 Step 189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 462 2-Oct-2003 17:18:03, 40 ms (1%), 1043163 occupied, 23956788 free *** Garbage collection starting *** GC 463 2-Oct-2003 17:18:06, 30 ms (1%), 1044063 occupied, 23955887 free *** Garbage collection starting *** GC 464 2-Oct-2003 17:18:08, 40 ms (1%), 1044791 occupied, 23955160 free *** Garbage collection starting *** GC 465 2-Oct-2003 17:18:10, 40 ms (1%), 1045511 occupied, 23954440 free *** Garbage collection starting *** GC 466 2-Oct-2003 17:18:13, 30 ms (1%), 1045671 occupied, 23954280 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_11 and e_21. e_21: 0=(q18 - q8)*p6 is replaced by e_8: 0=p6*q8 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 467 2-Oct-2003 17:18:15, 40 ms (1%), 1043925 occupied, 23956026 free *** Garbage collection starting *** GC 468 2-Oct-2003 17:18:18, 40 ms (1%), 1044471 occupied, 23955480 free *** Garbage collection starting *** GC 469 2-Oct-2003 17:18:20, 40 ms (1%), 1045469 occupied, 23954482 free *** Garbage collection starting *** GC 470 2-Oct-2003 17:18:22, 30 ms (1%), 1045835 occupied, 23954116 free *** Garbage collection starting *** GC 471 2-Oct-2003 17:18:25, 40 ms (1%), 1046295 occupied, 23953656 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 472 2-Oct-2003 17:18:31, 40 ms (1%), 1073825 occupied, 23926124 free Eliminate q14 from e_91 and e_307. e_307: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q14,q8,p11,p10,p6,p2) is replaced by e_339: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q8,p11,p10,p2) 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 473 2-Oct-2003 17:18:35, 30 ms (1%), 1043099 occupied, 23956851 free *** Garbage collection starting *** GC 474 2-Oct-2003 17:18:38, 30 ms (1%), 1044583 occupied, 23955368 free *** Garbage collection starting *** GC 475 2-Oct-2003 17:18:40, 30 ms (1%), 1045345 occupied, 23954605 free *** Garbage collection starting *** GC 476 2-Oct-2003 17:18:42, 30 ms (1%), 1045699 occupied, 23954252 free *** Garbage collection starting *** GC 477 2-Oct-2003 17:18:45, 40 ms (1%), 1046239 occupied, 23953712 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 478 2-Oct-2003 17:18:51, 40 ms (1%), 1087478 occupied, 23912471 free *** Garbage collection starting *** GC 479 2-Oct-2003 17:18:56, 40 ms (1%), 1125585 occupied, 23874361 free Eliminate q20 from e_201 and e_232. e_232: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q17,q1,p15,p12,p5) is replaced by e_57: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q1,p15,p12,p10) Step 193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 480 2-Oct-2003 17:19:00, 40 ms (1%), 1043995 occupied, 23955956 free *** Garbage collection starting *** GC 481 2-Oct-2003 17:19:02, 40 ms (1%), 1046651 occupied, 23953299 free *** Garbage collection starting *** GC 482 2-Oct-2003 17:19:05, 40 ms (1%), 1048859 occupied, 23951091 free *** Garbage collection starting *** GC 483 2-Oct-2003 17:19:07, 40 ms (1%), 1049341 occupied, 23950609 free *** Garbage collection starting *** GC 484 2-Oct-2003 17:19:10, 40 ms (1%), 1049699 occupied, 23950251 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_203 and e_200. e_200: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q1,p15,p12) is replaced by e_306: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q1,p15,p12,p10) 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 485 2-Oct-2003 17:19:13, 30 ms (1%), 1044787 occupied, 23955164 free *** Garbage collection starting *** GC 486 2-Oct-2003 17:19:15, 40 ms (1%), 1046151 occupied, 23953800 free *** Garbage collection starting *** GC 487 2-Oct-2003 17:19:18, 40 ms (1%), 1046889 occupied, 23953062 free *** Garbage collection starting *** GC 488 2-Oct-2003 17:19:21, 40 ms (1%), 1047395 occupied, 23952556 free *** Garbage collection starting *** GC 489 2-Oct-2003 17:19:23, 40 ms (1%), 1047567 occupied, 23952384 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_68 and e_304. e_304: 4 terms, 8 factors, with derivatives of functions of all variables: (q11,q6,q1,p14,p8,p6) is replaced by e_32: 4 terms, 8 factors, with derivatives of functions of all variables: (q6,q1,p14,p11,p8) Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 490 2-Oct-2003 17:19:27, 30 ms (1%), 1044137 occupied, 23955814 free *** Garbage collection starting *** GC 491 2-Oct-2003 17:19:29, 40 ms (1%), 1045961 occupied, 23953989 free *** Garbage collection starting *** GC 492 2-Oct-2003 17:19:32, 30 ms (1%), 1047235 occupied, 23952715 free *** Garbage collection starting *** GC 493 2-Oct-2003 17:19:34, 40 ms (1%), 1047843 occupied, 23952107 free *** Garbage collection starting *** GC 494 2-Oct-2003 17:19:37, 40 ms (1%), 1048211 occupied, 23951739 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 495 2-Oct-2003 17:19:43, 40 ms (1%), 1124335 occupied, 23875611 free Eliminate q20 from e_201 and e_408. e_408: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q17,q1,p15,p14,p11,p5) is replaced by e_96: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q1,p15,p14,p11,p10) 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 496 2-Oct-2003 17:19:48, 40 ms (1%), 1044757 occupied, 23955193 free *** Garbage collection starting *** GC 497 2-Oct-2003 17:19:51, 40 ms (1%), 1046479 occupied, 23953472 free *** Garbage collection starting *** GC 498 2-Oct-2003 17:19:53, 30 ms (1%), 1047643 occupied, 23952308 free *** Garbage collection starting *** GC 499 2-Oct-2003 17:19:56, 30 ms (1%), 1047767 occupied, 23952184 free *** Garbage collection starting *** GC 500 2-Oct-2003 17:19:58, 30 ms (1%), 1048029 occupied, 23951922 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_203 and e_96. e_96: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q1,p15,p14,p11,p10) is replaced by e_176: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q1,p15,p14,p11,p10) 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 501 2-Oct-2003 17:20:01, 30 ms (1%), 1046467 occupied, 23953484 free *** Garbage collection starting *** GC 502 2-Oct-2003 17:20:04, 40 ms (1%), 1047085 occupied, 23952866 free *** Garbage collection starting *** GC 503 2-Oct-2003 17:20:07, 40 ms (1%), 1047367 occupied, 23952584 free *** Garbage collection starting *** GC 504 2-Oct-2003 17:20:09, 40 ms (1%), 1047553 occupied, 23952398 free *** Garbage collection starting *** GC 505 2-Oct-2003 17:20:12, 30 ms (1%), 1048213 occupied, 23951738 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_68 and e_41. e_41: 4 terms, 8 factors, with derivatives of functions of all variables: (q11,q7,q1,p14,p8,p6,p2) is replaced by e_220: 4 terms, 8 factors, with derivatives of functions of all variables: (q7,q1,p14,p11,p8,p2) Step 202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 17:20:16, 40 ms (1%), 1045741 occupied, 23954209 free *** Garbage collection starting *** GC 507 2-Oct-2003 17:20:18, 40 ms (1%), 1047841 occupied, 23952109 free *** Garbage collection starting *** GC 508 2-Oct-2003 17:20:21, 40 ms (1%), 1048465 occupied, 23951485 free *** Garbage collection starting *** GC 509 2-Oct-2003 17:20:24, 40 ms (1%), 1049001 occupied, 23950949 free *** Garbage collection starting *** GC 510 2-Oct-2003 17:20:26, 40 ms (1%), 1049161 occupied, 23950789 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_201 and e_245. e_245: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q17,q7,q1,p14,p12,p5) is replaced by e_227: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q7,q1,p14,p12,p10) 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 511 2-Oct-2003 17:20:31, 40 ms (1%), 1045591 occupied, 23954359 free *** Garbage collection starting *** GC 512 2-Oct-2003 17:20:34, 40 ms (1%), 1046803 occupied, 23953147 free *** Garbage collection starting *** GC 513 2-Oct-2003 17:20:36, 40 ms (1%), 1047693 occupied, 23952257 free *** Garbage collection starting *** GC 514 2-Oct-2003 17:20:39, 30 ms (1%), 1048803 occupied, 23951147 free *** Garbage collection starting *** GC 515 2-Oct-2003 17:20:42, 30 ms (1%), 1049153 occupied, 23950797 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_240 and e_227. e_227: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q7,q1,p14,p12,p10) is replaced by e_156: 5 terms, 10 factors, with derivatives of functions of all variables: (q7,q1,p14,p12,p11,p10) 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 516 2-Oct-2003 17:20:46, 40 ms (1%), 1046541 occupied, 23953409 free *** Garbage collection starting *** GC 517 2-Oct-2003 17:20:48, 30 ms (1%), 1047849 occupied, 23952101 free shortening by 1 term Step 206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 518 2-Oct-2003 17:20:51, 40 ms (1%), 1046101 occupied, 23953849 free *** Garbage collection starting *** GC 519 2-Oct-2003 17:20:54, 40 ms (1%), 1047867 occupied, 23952083 free *** Garbage collection starting *** GC 520 2-Oct-2003 17:20:57, 40 ms (1%), 1048981 occupied, 23950969 free *** Garbage collection starting *** GC 521 2-Oct-2003 17:20:59, 40 ms (1%), 1050291 occupied, 23949659 free *** Garbage collection starting *** GC 522 2-Oct-2003 17:21:02, 40 ms (1%), 1051083 occupied, 23948867 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_12 and e_316. e_316: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q7,q6,p12,p11,p5) is replaced by e_238: 5 terms, 10 factors, with derivatives of functions of all variables: (q14,q7,q6,p12,p11,p10,p5) 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 523 2-Oct-2003 17:21:07, 40 ms (1%), 1046525 occupied, 23953425 free shortening by 1 term Step 208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 524 2-Oct-2003 17:21:10, 40 ms (1%), 1046977 occupied, 23952972 free shortening by 1 term Step 209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 525 2-Oct-2003 17:21:13, 40 ms (1%), 1046751 occupied, 23953199 free *** Garbage collection starting *** GC 526 2-Oct-2003 17:21:16, 40 ms (1%), 1048315 occupied, 23951635 free *** Garbage collection starting *** GC 527 2-Oct-2003 17:21:19, 30 ms (1%), 1050801 occupied, 23949148 free *** Garbage collection starting *** GC 528 2-Oct-2003 17:21:21, 40 ms (1%), 1051793 occupied, 23948156 free *** Garbage collection starting *** GC 529 2-Oct-2003 17:21:24, 30 ms (1%), 1052363 occupied, 23947586 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_159 and e_233. e_233: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q17,q6,p12,p10,p1) is replaced by e_126: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q6,p12,p11,p10) Step 210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 530 2-Oct-2003 17:21:28, 40 ms (1%), 1048089 occupied, 23951861 free *** Garbage collection starting *** GC 531 2-Oct-2003 17:21:30, 40 ms (1%), 1049607 occupied, 23950342 free *** Garbage collection starting *** GC 532 2-Oct-2003 17:21:33, 30 ms (1%), 1050537 occupied, 23949412 free *** Garbage collection starting *** GC 533 2-Oct-2003 17:21:36, 40 ms (1%), 1051315 occupied, 23948634 free *** Garbage collection starting *** GC 534 2-Oct-2003 17:21:39, 30 ms (1%), 1051499 occupied, 23948450 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 535 2-Oct-2003 17:21:45, 40 ms (1%), 1119223 occupied, 23880720 free *** Garbage collection starting *** GC 536 2-Oct-2003 17:21:51, 50 ms (1%), 1117378 occupied, 23882566 free Eliminate q20 from e_201 and e_194. e_194: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q7,q6,q1,p14,p12,p8,p5) is replaced by e_120: 6 terms, 12 factors, with derivatives of functions of all variables: (q7,q6,q1,p14,p12,p10,p8) Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 537 2-Oct-2003 17:21:55, 40 ms (1%), 1048827 occupied, 23951123 free *** Garbage collection starting *** GC 538 2-Oct-2003 17:21:57, 30 ms (1%), 1049833 occupied, 23950116 free *** Garbage collection starting *** GC 539 2-Oct-2003 17:22:00, 40 ms (1%), 1050479 occupied, 23949471 free *** Garbage collection starting *** GC 540 2-Oct-2003 17:22:03, 40 ms (1%), 1050737 occupied, 23949213 free *** Garbage collection starting *** GC 541 2-Oct-2003 17:22:06, 40 ms (1%), 1050873 occupied, 23949077 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_18 and e_305. e_305: 5 terms, 10 factors, with derivatives of functions of all variables: (q18,q17,q14,q7,p11,p10,p5,p3) is replaced by e_119: 5 terms, 10 factors, with derivatives of functions of all variables: (q18,q14,q7,p12,p11,p10,p5,p3) Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 542 2-Oct-2003 17:22:11, 40 ms (1%), 1048275 occupied, 23951675 free *** Garbage collection starting *** GC 543 2-Oct-2003 17:22:14, 40 ms (1%), 1049559 occupied, 23950391 free *** Garbage collection starting *** GC 544 2-Oct-2003 17:22:17, 40 ms (1%), 1050117 occupied, 23949833 free *** Garbage collection starting *** GC 545 2-Oct-2003 17:22:20, 40 ms (1%), 1050335 occupied, 23949615 free *** Garbage collection starting *** GC 546 2-Oct-2003 17:22:23, 40 ms (1%), 1050525 occupied, 23949425 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 547 2-Oct-2003 17:22:29, 30 ms (1%), 1080331 occupied, 23919618 free *** Garbage collection starting *** GC 548 2-Oct-2003 17:22:35, 50 ms (1%), 1115687 occupied, 23884258 free Eliminate q18 from e_28 and e_320. e_320: 5 terms, 10 factors, with derivatives of functions of all variables: (q18,q16,q14,q6,q2,p10,p6,p5,p1) is replaced by e_253: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q7,q6,q2,p10,p6,p5) 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 : *** Garbage collection starting *** GC 549 2-Oct-2003 17:22:40, 40 ms (1%), 1048707 occupied, 23951243 free *** Garbage collection starting *** GC 550 2-Oct-2003 17:22:43, 30 ms (1%), 1050175 occupied, 23949775 free *** Garbage collection starting *** GC 551 2-Oct-2003 17:22:46, 40 ms (1%), 1051359 occupied, 23948591 free *** Garbage collection starting *** GC 552 2-Oct-2003 17:22:49, 40 ms (1%), 1052137 occupied, 23947813 free *** Garbage collection starting *** GC 553 2-Oct-2003 17:22:52, 40 ms (1%), 1052409 occupied, 23947541 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 554 2-Oct-2003 17:22:58, 40 ms (1%), 1108096 occupied, 23891848 free *** Garbage collection starting *** GC 555 2-Oct-2003 17:23:04, 40 ms (1%), 1099745 occupied, 23900197 free Eliminate q6 from e_310 and e_120. e_120: 6 terms, 12 factors, with derivatives of functions of all variables: (q7,q6,q1,p14,p12,p10,p8) is replaced by e_86: 6 terms, 12 factors, with derivatives of functions of all variables: (q7,q1,p14,p10,p8,p4,p2) 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 : *** Garbage collection starting *** GC 556 2-Oct-2003 17:23:09, 30 ms (1%), 1049265 occupied, 23950685 free *** Garbage collection starting *** GC 557 2-Oct-2003 17:23:12, 40 ms (1%), 1050859 occupied, 23949091 free *** Garbage collection starting *** GC 558 2-Oct-2003 17:23:15, 40 ms (1%), 1051867 occupied, 23948083 free *** Garbage collection starting *** GC 559 2-Oct-2003 17:23:18, 40 ms (1%), 1052607 occupied, 23947343 free *** Garbage collection starting *** GC 560 2-Oct-2003 17:23:21, 40 ms (1%), 1053463 occupied, 23946487 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_324 and e_195. e_195: 7 terms, 14 factors, with derivatives of functions of all variables: (q18,q14,q7,q6,q4,p12,p10,p6,p5,p4,p3) is replaced by e_257: 7 terms, 14 factors, with derivatives of functions of all variables: (q14,q7,q6,p12,p10,p5,p4,p2) 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 : *** Garbage collection starting *** GC 561 2-Oct-2003 17:23:26, 40 ms (1%), 1050455 occupied, 23949495 free shortening by 1 term Step 217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 562 2-Oct-2003 17:23:29, 30 ms (1%), 1050083 occupied, 23949867 free *** Garbage collection starting *** GC 563 2-Oct-2003 17:23:32, 40 ms (1%), 1051683 occupied, 23948267 free *** Garbage collection starting *** GC 564 2-Oct-2003 17:23:35, 40 ms (1%), 1052889 occupied, 23947061 free *** Garbage collection starting *** GC 565 2-Oct-2003 17:23:39, 30 ms (1%), 1053613 occupied, 23946337 free *** Garbage collection starting *** GC 566 2-Oct-2003 17:23:42, 40 ms (1%), 1053965 occupied, 23945985 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 567 2-Oct-2003 17:23:48, 40 ms (1%), 1085432 occupied, 23914513 free *** Garbage collection starting *** GC 568 2-Oct-2003 17:23:54, 40 ms (1%), 1122559 occupied, 23877386 free *** Garbage collection starting *** GC 569 2-Oct-2003 17:24:01, 50 ms (1%), 1101847 occupied, 23898096 free *** Garbage collection starting *** GC 570 2-Oct-2003 17:24:07, 40 ms (1%), 1092355 occupied, 23907590 free Eliminate q14 from e_137 and e_132. e_132: 10 terms, 20 factors, with derivatives of functions of all variables: (q19,q14,q11,q10,q5,q4,p15,p14,p12,p11,p10,p7) is replaced by e_265: 10 terms, 20 factors, with derivatives of functions of all variables: (q19,q11,q10,q5,q4,q3,p15,p14,p12,p11,p10) 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 571 2-Oct-2003 17:24:12, 40 ms (1%), 1051267 occupied, 23948683 free shortening by 1 term Step 219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 572 2-Oct-2003 17:24:15, 40 ms (1%), 1050637 occupied, 23949312 free *** Garbage collection starting *** GC 573 2-Oct-2003 17:24:18, 40 ms (1%), 1051339 occupied, 23948611 free *** Garbage collection starting *** GC 574 2-Oct-2003 17:24:22, 40 ms (1%), 1052839 occupied, 23947111 free *** Garbage collection starting *** GC 575 2-Oct-2003 17:24:25, 40 ms (1%), 1054141 occupied, 23945809 free *** Garbage collection starting *** GC 576 2-Oct-2003 17:24:28, 40 ms (1%), 1054801 occupied, 23945149 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_296 and e_249. e_249: 9 terms, 18 factors, with derivatives of functions of all variables: (q16,q14,q13,q7,q6,q4,q3,p16,p12,p11,p10,p1) is replaced by e_267: 9 terms, 18 factors, with derivatives of functions of all variables: (q14,q13,q7,q6,q5,q4,q3,p16,p12,p11,p10,p1) Step 220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 577 2-Oct-2003 17:24:33, 40 ms (1%), 1052481 occupied, 23947468 free shortening by 1 term Step 221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 578 2-Oct-2003 17:24:36, 40 ms (1%), 1050995 occupied, 23948955 free *** Garbage collection starting *** GC 579 2-Oct-2003 17:24:39, 30 ms (1%), 1051703 occupied, 23948247 free *** Garbage collection starting *** GC 580 2-Oct-2003 17:24:43, 40 ms (1%), 1053211 occupied, 23946739 free *** Garbage collection starting *** GC 581 2-Oct-2003 17:24:46, 40 ms (1%), 1054431 occupied, 23945519 free *** Garbage collection starting *** GC 582 2-Oct-2003 17:24:49, 40 ms (1%), 1055115 occupied, 23944835 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 583 2-Oct-2003 17:24:56, 40 ms (1%), 1071702 occupied, 23928248 free *** Garbage collection starting *** GC 584 2-Oct-2003 17:25:02, 40 ms (1%), 1111301 occupied, 23888641 free *** Garbage collection starting *** GC 585 2-Oct-2003 17:25:09, 50 ms (1%), 1097286 occupied, 23902653 free *** Garbage collection starting *** GC 586 2-Oct-2003 17:25:15, 40 ms (1%), 1102943 occupied, 23897001 free *** Garbage collection starting *** GC 587 2-Oct-2003 17:25:22, 40 ms (1%), 1056745 occupied, 23943205 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_223 we get the alternative equations : 0=q1 0=p3 New level : 1.1. CRACK is now called with the new equation e_67 : 0=q1 e_147,e_176,e_48,e_306,e_19 are consequences of e_67 Step 222: 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 9 terms Substitution of q1 found in e_67 : q1=0 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 588 2-Oct-2003 17:25:25, 30 ms (1%), 1049836 occupied, 23950115 free *** Garbage collection starting *** GC 589 2-Oct-2003 17:25:27, 30 ms (1%), 1051662 occupied, 23948289 free *** Garbage collection starting *** GC 590 2-Oct-2003 17:25:30, 30 ms (1%), 1052296 occupied, 23947655 free *** Garbage collection starting *** GC 591 2-Oct-2003 17:25:32, 40 ms (1%), 1052514 occupied, 23947437 free *** Garbage collection starting *** GC 592 2-Oct-2003 17:25:35, 30 ms (1%), 1052790 occupied, 23947161 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_330 and e_108. e_108: 0=(q17 - q6)*p14 is replaced by e_400: 0=p14*q6 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 593 2-Oct-2003 17:25:38, 40 ms (1%), 1049824 occupied, 23950126 free *** Garbage collection starting *** GC 594 2-Oct-2003 17:25:41, 40 ms (1%), 1051716 occupied, 23948234 free *** Garbage collection starting *** GC 595 2-Oct-2003 17:25:43, 40 ms (1%), 1052476 occupied, 23947474 free *** Garbage collection starting *** GC 596 2-Oct-2003 17:25:46, 40 ms (1%), 1052672 occupied, 23947278 free *** Garbage collection starting *** GC 597 2-Oct-2003 17:25:49, 30 ms (1%), 1052996 occupied, 23946954 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 598 2-Oct-2003 17:25:55, 30 ms (1%), 1056765 occupied, 23943185 free *** Garbage collection starting *** GC 599 2-Oct-2003 17:26:01, 30 ms (1%), 1078782 occupied, 23921168 free *** Garbage collection starting *** GC 600 2-Oct-2003 17:26:07, 40 ms (1%), 1102727 occupied, 23897217 free Eliminate q11 from e_337 and e_93. e_93: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q11,q9,p7,p5) is replaced by e_402: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q10,q9,p7,p5) 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 601 2-Oct-2003 17:26:12, 40 ms (1%), 1050202 occupied, 23949747 free *** Garbage collection starting *** GC 602 2-Oct-2003 17:26:15, 40 ms (1%), 1052098 occupied, 23947852 free *** Garbage collection starting *** GC 603 2-Oct-2003 17:26:18, 40 ms (1%), 1052746 occupied, 23947204 free *** Garbage collection starting *** GC 604 2-Oct-2003 17:26:20, 40 ms (1%), 1052910 occupied, 23947040 free *** Garbage collection starting *** GC 605 2-Oct-2003 17:26:23, 40 ms (1%), 1053018 occupied, 23946932 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_112 and e_318. e_318: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q11,q10,p7,p1) is replaced by e_406: 0=(q10 + q11 - q9)*p1 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 606 2-Oct-2003 17:26:27, 40 ms (1%), 1052070 occupied, 23947880 free *** Garbage collection starting *** GC 607 2-Oct-2003 17:26:29, 30 ms (1%), 1053270 occupied, 23946680 free *** Garbage collection starting *** GC 608 2-Oct-2003 17:26:32, 40 ms (1%), 1054046 occupied, 23945904 free *** Garbage collection starting *** GC 609 2-Oct-2003 17:26:35, 40 ms (1%), 1054498 occupied, 23945452 free *** Garbage collection starting *** GC 610 2-Oct-2003 17:26:37, 40 ms (1%), 1054796 occupied, 23945154 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_406 and e_112. e_112: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q11,q9,p7,p1) is replaced by e_410: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q10,q9,p7,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 611 2-Oct-2003 17:26:41, 40 ms (1%), 1050934 occupied, 23949015 free *** Garbage collection starting *** GC 612 2-Oct-2003 17:26:44, 30 ms (1%), 1052246 occupied, 23947703 free *** Garbage collection starting *** GC 613 2-Oct-2003 17:26:46, 40 ms (1%), 1053152 occupied, 23946797 free *** Garbage collection starting *** GC 614 2-Oct-2003 17:26:49, 30 ms (1%), 1053784 occupied, 23946165 free *** Garbage collection starting *** GC 615 2-Oct-2003 17:26:52, 40 ms (1%), 1054052 occupied, 23945897 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 616 2-Oct-2003 17:26:58, 30 ms (1%), 1103704 occupied, 23896242 free Eliminate q20 from e_110 and e_197. e_197: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q11,q2,p10,p8,p1) is replaced by e_21: 3 terms, 6 factors, with derivatives of functions of all variables: (q11,q10,q2,p10,p8) 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 617 2-Oct-2003 17:27:04, 30 ms (1%), 1050690 occupied, 23949258 free *** Garbage collection starting *** GC 618 2-Oct-2003 17:27:06, 30 ms (1%), 1052750 occupied, 23947199 free *** Garbage collection starting *** GC 619 2-Oct-2003 17:27:09, 40 ms (1%), 1053382 occupied, 23946567 free *** Garbage collection starting *** GC 620 2-Oct-2003 17:27:12, 40 ms (1%), 1053758 occupied, 23946191 free *** Garbage collection starting *** GC 621 2-Oct-2003 17:27:14, 40 ms (1%), 1054032 occupied, 23945917 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 622 2-Oct-2003 17:27:21, 40 ms (1%), 1052727 occupied, 23947222 free Eliminate q11 from e_21 and e_239. e_239: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q11,q10,p15,p10) is replaced by e_165: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q10,q2,p15,p10,p8) 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 623 2-Oct-2003 17:27:27, 30 ms (1%), 1050948 occupied, 23949001 free *** Garbage collection starting *** GC 624 2-Oct-2003 17:27:30, 40 ms (1%), 1052554 occupied, 23947395 free *** Garbage collection starting *** GC 625 2-Oct-2003 17:27:32, 40 ms (1%), 1053256 occupied, 23946693 free *** Garbage collection starting *** GC 626 2-Oct-2003 17:27:35, 40 ms (1%), 1054794 occupied, 23945155 free shortening by 2 terms 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 627 2-Oct-2003 17:27:38, 30 ms (1%), 1052118 occupied, 23947831 free *** Garbage collection starting *** GC 628 2-Oct-2003 17:27:40, 40 ms (1%), 1053474 occupied, 23946475 free *** Garbage collection starting *** GC 629 2-Oct-2003 17:27:43, 40 ms (1%), 1054640 occupied, 23945309 free *** Garbage collection starting *** GC 630 2-Oct-2003 17:27:46, 40 ms (1%), 1054804 occupied, 23945145 free *** Garbage collection starting *** GC 631 2-Oct-2003 17:27:49, 40 ms (1%), 1055050 occupied, 23944899 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 632 2-Oct-2003 17:27:55, 40 ms (1%), 1072502 occupied, 23927446 free *** Garbage collection starting *** GC 633 2-Oct-2003 17:28:02, 40 ms (1%), 1100426 occupied, 23899521 free Eliminate q13 from e_410 and e_180. e_180: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q15,q13,q9,q5,p7,p3,p1) is replaced by e_58: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q15,q10,q9,q5,p7,p3,p1) 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 634 2-Oct-2003 17:28:05, 40 ms (1%), 1054036 occupied, 23945912 free *** Garbage collection starting *** GC 635 2-Oct-2003 17:28:08, 40 ms (1%), 1055592 occupied, 23944357 free *** Garbage collection starting *** GC 636 2-Oct-2003 17:28:11, 30 ms (1%), 1056138 occupied, 23943811 free *** Garbage collection starting *** GC 637 2-Oct-2003 17:28:14, 40 ms (1%), 1056298 occupied, 23943651 free *** Garbage collection starting *** GC 638 2-Oct-2003 17:28:16, 40 ms (1%), 1056410 occupied, 23943539 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_56 and e_58. e_58: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q15,q10,q9,q5,p7,p3,p1) is replaced by e_22: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q5,p7,p3,p1) Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 639 2-Oct-2003 17:28:20, 40 ms (1%), 1052488 occupied, 23947461 free shortening by 2 terms Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 640 2-Oct-2003 17:28:23, 30 ms (1%), 1053754 occupied, 23946194 free *** Garbage collection starting *** GC 641 2-Oct-2003 17:28:26, 40 ms (1%), 1054068 occupied, 23945880 free *** Garbage collection starting *** GC 642 2-Oct-2003 17:28:29, 30 ms (1%), 1054454 occupied, 23945494 free *** Garbage collection starting *** GC 643 2-Oct-2003 17:28:32, 30 ms (1%), 1055020 occupied, 23944928 free *** Garbage collection starting *** GC 644 2-Oct-2003 17:28:35, 30 ms (1%), 1055682 occupied, 23944266 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_125 and e_56. e_56: 6 terms, 12 factors, with derivatives of functions of all variables: (q15,q11,q10,q9,p7,p3,p1) is replaced by e_69: (#) 6 terms, 5 factors, with derivatives of functions of all variables: (q11,q10,q9,p3,p1) Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 645 2-Oct-2003 17:28:38, 40 ms (1%), 1054544 occupied, 23945405 free *** Garbage collection starting *** GC 646 2-Oct-2003 17:28:40, 30 ms (1%), 1055822 occupied, 23944127 free *** Garbage collection starting *** GC 647 2-Oct-2003 17:28:43, 40 ms (1%), 1056204 occupied, 23943745 free *** Garbage collection starting *** GC 648 2-Oct-2003 17:28:46, 40 ms (1%), 1056912 occupied, 23943037 free *** Garbage collection starting *** GC 649 2-Oct-2003 17:28:49, 40 ms (1%), 1057120 occupied, 23942829 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_125 and e_204. e_204: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q15,q11,q9,q5,p7,p3) is replaced by e_4: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q11,q10,q9,q5,p7,p3) Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 650 2-Oct-2003 17:28:55, 30 ms (1%), 1054210 occupied, 23945739 free *** Garbage collection starting *** GC 651 2-Oct-2003 17:28:58, 40 ms (1%), 1055794 occupied, 23944154 free *** Garbage collection starting *** GC 652 2-Oct-2003 17:29:01, 40 ms (1%), 1056784 occupied, 23943164 free shortening by 1 term Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 653 2-Oct-2003 17:29:04, 40 ms (1%), 1054082 occupied, 23945867 free *** Garbage collection starting *** GC 654 2-Oct-2003 17:29:07, 40 ms (1%), 1056350 occupied, 23943599 free *** Garbage collection starting *** GC 655 2-Oct-2003 17:29:10, 40 ms (1%), 1057972 occupied, 23941975 free *** Garbage collection starting *** GC 656 2-Oct-2003 17:29:13, 40 ms (1%), 1059180 occupied, 23940767 free *** Garbage collection starting *** GC 657 2-Oct-2003 17:29:16, 40 ms (1%), 1059570 occupied, 23940377 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 658 2-Oct-2003 17:29:23, 40 ms (1%), 1107703 occupied, 23892243 free *** Garbage collection starting *** GC 659 2-Oct-2003 17:29:30, 40 ms (1%), 1108657 occupied, 23891290 free *** Garbage collection starting *** GC 660 2-Oct-2003 17:29:36, 40 ms (1%), 1062770 occupied, 23937178 free *** Garbage collection starting *** GC 661 2-Oct-2003 17:29:43, 40 ms (1%), 1104090 occupied, 23895852 free *** Garbage collection starting *** GC 662 2-Oct-2003 17:29:50, 30 ms (1%), 1093304 occupied, 23906643 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_192 we get the alternative equations : 0=p15 0=q7 New level : 1.1.1. CRACK is now called with the new equation e_59 : 0=p15 e_284,e_290,e_255 are consequences of e_59 Step 239: 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 8 terms e_164 is a consequence of e_302. e_95 is a consequence of e_302. e_277 is a consequence of e_256. Substitution of p15 found in e_59 : p15=0 Step 240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 663 2-Oct-2003 17:29:53, 30 ms (1%), 1054152 occupied, 23945799 free *** Garbage collection starting *** GC 664 2-Oct-2003 17:29:56, 30 ms (1%), 1055760 occupied, 23944190 free *** Garbage collection starting *** GC 665 2-Oct-2003 17:29:58, 30 ms (1%), 1056738 occupied, 23943213 free *** Garbage collection starting *** GC 666 2-Oct-2003 17:30:01, 40 ms (1%), 1057258 occupied, 23942693 free *** Garbage collection starting *** GC 667 2-Oct-2003 17:30:03, 40 ms (1%), 1057566 occupied, 23942385 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_256 and e_308. e_308: 0=(q11 - 2*q9)*p16 is replaced by e_39: 0=p16*q11 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 : *** Garbage collection starting *** GC 668 2-Oct-2003 17:30:06, 30 ms (1%), 1055386 occupied, 23944565 free *** Garbage collection starting *** GC 669 2-Oct-2003 17:30:09, 40 ms (1%), 1056440 occupied, 23943511 free *** Garbage collection starting *** GC 670 2-Oct-2003 17:30:11, 40 ms (1%), 1056966 occupied, 23942985 free *** Garbage collection starting *** GC 671 2-Oct-2003 17:30:14, 30 ms (1%), 1057428 occupied, 23942523 free *** Garbage collection starting *** GC 672 2-Oct-2003 17:30:17, 40 ms (1%), 1057740 occupied, 23942211 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_39 and e_280. e_280: 0=(q11 - q19)*p16 is replaced by e_238: 0=p16*q19 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 673 2-Oct-2003 17:30:20, 30 ms (1%), 1055928 occupied, 23944022 free *** Garbage collection starting *** GC 674 2-Oct-2003 17:30:22, 40 ms (1%), 1057200 occupied, 23942750 free *** Garbage collection starting *** GC 675 2-Oct-2003 17:30:25, 40 ms (1%), 1057920 occupied, 23942030 free *** Garbage collection starting *** GC 676 2-Oct-2003 17:30:28, 30 ms (1%), 1058336 occupied, 23941614 free *** Garbage collection starting *** GC 677 2-Oct-2003 17:30:31, 40 ms (1%), 1058488 occupied, 23941462 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_256 and e_42. e_42: 0=(q10 - q9)*p16 is replaced by e_224: 0=p16*q10 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 678 2-Oct-2003 17:30:33, 40 ms (1%), 1056152 occupied, 23943798 free *** Garbage collection starting *** GC 679 2-Oct-2003 17:30:36, 40 ms (1%), 1057266 occupied, 23942684 free *** Garbage collection starting *** GC 680 2-Oct-2003 17:30:39, 40 ms (1%), 1057642 occupied, 23942308 free *** Garbage collection starting *** GC 681 2-Oct-2003 17:30:42, 40 ms (1%), 1058472 occupied, 23941478 free *** Garbage collection starting *** GC 682 2-Oct-2003 17:30:45, 30 ms (1%), 1058622 occupied, 23941328 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q6 from e_400 and e_25. e_25: 0=(2*q6 - q7)*p14 is replaced by e_233: 0=p14*q7 e_233 is a consequence of e_302. 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 683 2-Oct-2003 17:30:48, 40 ms (1%), 1056942 occupied, 23943009 free *** Garbage collection starting *** GC 684 2-Oct-2003 17:30:51, 40 ms (1%), 1057192 occupied, 23942759 free *** Garbage collection starting *** GC 685 2-Oct-2003 17:30:53, 30 ms (1%), 1057360 occupied, 23942591 free *** Garbage collection starting *** GC 686 2-Oct-2003 17:30:56, 30 ms (1%), 1057564 occupied, 23942387 free *** Garbage collection starting *** GC 687 2-Oct-2003 17:30:59, 40 ms (1%), 1057720 occupied, 23942231 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 17:31:06, 40 ms (1%), 1108724 occupied, 23891224 free Eliminate q15 from e_267 and e_279. e_279: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q15,q11,q9,p14,p12) is replaced by e_142: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q11,q9,p14,p12) 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 689 2-Oct-2003 17:31:11, 30 ms (1%), 1057100 occupied, 23942850 free *** Garbage collection starting *** GC 690 2-Oct-2003 17:31:14, 40 ms (1%), 1057586 occupied, 23942365 free *** Garbage collection starting *** GC 691 2-Oct-2003 17:31:17, 40 ms (1%), 1058130 occupied, 23941821 free *** Garbage collection starting *** GC 692 2-Oct-2003 17:31:20, 40 ms (1%), 1059152 occupied, 23940799 free shortening by 1 term Step 272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 693 2-Oct-2003 17:31:23, 30 ms (1%), 1056854 occupied, 23943097 free 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 : *** Garbage collection starting *** GC 694 2-Oct-2003 17:31:26, 40 ms (1%), 1057146 occupied, 23942805 free shortening by 1 term Step 275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 695 2-Oct-2003 17:31:29, 40 ms (1%), 1057100 occupied, 23942851 free *** Garbage collection starting *** GC 696 2-Oct-2003 17:31:32, 40 ms (1%), 1058830 occupied, 23941121 free *** Garbage collection starting *** GC 697 2-Oct-2003 17:31:35, 40 ms (1%), 1059052 occupied, 23940899 free *** Garbage collection starting *** GC 698 2-Oct-2003 17:31:38, 40 ms (1%), 1059196 occupied, 23940755 free *** Garbage collection starting *** GC 699 2-Oct-2003 17:31:41, 40 ms (1%), 1059372 occupied, 23940579 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 700 2-Oct-2003 17:31:48, 40 ms (1%), 1093401 occupied, 23906548 free Eliminate q11 from e_41 and e_249. e_249: 3 terms, 6 factors, with derivatives of functions of all variables: (q11,q9,q2,p14,p10) is replaced by e_176: 3 terms, 6 factors, with derivatives of functions of all variables: (q9,q2,p14,p10,p8) 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 701 2-Oct-2003 17:31:52, 30 ms (1%), 1058788 occupied, 23941163 free *** Garbage collection starting *** GC 702 2-Oct-2003 17:31:55, 40 ms (1%), 1059332 occupied, 23940619 free *** Garbage collection starting *** GC 703 2-Oct-2003 17:31:58, 30 ms (1%), 1060068 occupied, 23939883 free *** Garbage collection starting *** GC 704 2-Oct-2003 17:32:01, 40 ms (1%), 1061016 occupied, 23938935 free *** Garbage collection starting *** GC 705 2-Oct-2003 17:32:05, 40 ms (1%), 1061654 occupied, 23938297 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_263 and e_272. e_272: 0=p10*q10 + p14*q10 + p7*q20 is replaced by e_353: 0=q10*(2*p10 - p12 + 2*p14) Step 277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 706 2-Oct-2003 17:32:08, 40 ms (1%), 1059094 occupied, 23940856 free *** Garbage collection starting *** GC 707 2-Oct-2003 17:32:11, 40 ms (1%), 1061092 occupied, 23938858 free *** Garbage collection starting *** GC 708 2-Oct-2003 17:32:14, 40 ms (1%), 1062082 occupied, 23937868 free *** Garbage collection starting *** GC 709 2-Oct-2003 17:32:17, 30 ms (1%), 1062568 occupied, 23937382 free *** Garbage collection starting *** GC 710 2-Oct-2003 17:32:21, 40 ms (1%), 1062946 occupied, 23937004 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_176 and e_251. e_251: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q9,q2,p14,p10) is replaced by e_355: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q2,p14,p8) Step 278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 711 2-Oct-2003 17:32:25, 40 ms (1%), 1060464 occupied, 23939486 free *** Garbage collection starting *** GC 712 2-Oct-2003 17:32:28, 40 ms (1%), 1061618 occupied, 23938332 free *** Garbage collection starting *** GC 713 2-Oct-2003 17:32:31, 40 ms (1%), 1061906 occupied, 23938044 free *** Garbage collection starting *** GC 714 2-Oct-2003 17:32:35, 30 ms (1%), 1062744 occupied, 23937206 free *** Garbage collection starting *** GC 715 2-Oct-2003 17:32:38, 30 ms (1%), 1063468 occupied, 23936482 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_355 and e_103. e_103: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q13,q2,p14,p10) is replaced by e_358: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q2,p14,p10,p8) Step 279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 716 2-Oct-2003 17:32:42, 40 ms (1%), 1061042 occupied, 23938907 free *** Garbage collection starting *** GC 717 2-Oct-2003 17:32:45, 40 ms (1%), 1062734 occupied, 23937215 free *** Garbage collection starting *** GC 718 2-Oct-2003 17:32:48, 40 ms (1%), 1063900 occupied, 23936049 free *** Garbage collection starting *** GC 719 2-Oct-2003 17:32:52, 40 ms (1%), 1065242 occupied, 23934706 free *** Garbage collection starting *** GC 720 2-Oct-2003 17:32:55, 40 ms (1%), 1065946 occupied, 23934001 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 721 2-Oct-2003 17:33:03, 40 ms (1%), 1086622 occupied, 23913326 free Eliminate q20 from e_132 and e_328. e_328: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q11,q10,q9,q4,q2,p11,p8,p3) is replaced by e_361: 7 terms, 14 factors, with derivatives of functions of all variables: (q11,q10,q9,q4,q2,p11,p8) Step 280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 722 2-Oct-2003 17:33:07, 40 ms (1%), 1061778 occupied, 23938171 free *** Garbage collection starting *** GC 723 2-Oct-2003 17:33:11, 30 ms (1%), 1063802 occupied, 23936147 free *** Garbage collection starting *** GC 724 2-Oct-2003 17:33:14, 40 ms (1%), 1065164 occupied, 23934785 free *** Garbage collection starting *** GC 725 2-Oct-2003 17:33:18, 40 ms (1%), 1065712 occupied, 23934237 free *** Garbage collection starting *** GC 726 2-Oct-2003 17:33:21, 40 ms (1%), 1066164 occupied, 23933785 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_173 and e_110. e_110: 0=p1*q20 - p10*q10 is replaced by e_362: 0=5*p1*q20 - 3*p8*q2 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 : *** Garbage collection starting *** GC 727 2-Oct-2003 17:33:26, 40 ms (1%), 1061866 occupied, 23938083 free *** Garbage collection starting *** GC 728 2-Oct-2003 17:33:30, 40 ms (1%), 1063294 occupied, 23936655 free *** Garbage collection starting *** GC 729 2-Oct-2003 17:33:33, 40 ms (1%), 1064270 occupied, 23935679 free *** Garbage collection starting *** GC 730 2-Oct-2003 17:33:37, 40 ms (1%), 1065132 occupied, 23934817 free *** Garbage collection starting *** GC 731 2-Oct-2003 17:33:41, 40 ms (1%), 1065596 occupied, 23934353 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 732 2-Oct-2003 17:33:48, 40 ms (1%), 1072903 occupied, 23927042 free Eliminate q20 from e_263 and e_2. e_2: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q11,q10,q5,p14,p12,p11,p8,p7,p4) is replaced by e_368: 7 terms, 14 factors, with derivatives of functions of all variables: (q11,q10,q5,p14,p12,p11,p8,p4) 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 733 2-Oct-2003 17:33:54, 40 ms (1%), 1062442 occupied, 23937506 free *** Garbage collection starting *** GC 734 2-Oct-2003 17:33:58, 40 ms (1%), 1064388 occupied, 23935561 free *** Garbage collection starting *** GC 735 2-Oct-2003 17:34:02, 40 ms (1%), 1065568 occupied, 23934380 free *** Garbage collection starting *** GC 736 2-Oct-2003 17:34:05, 40 ms (1%), 1066490 occupied, 23933457 free *** Garbage collection starting *** GC 737 2-Oct-2003 17:34:09, 50 ms (1%), 1067000 occupied, 23932947 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 738 2-Oct-2003 17:34:17, 40 ms (1%), 1112541 occupied, 23887404 free *** Garbage collection starting *** GC 739 2-Oct-2003 17:34:25, 50 ms (1%), 1093437 occupied, 23906508 free Eliminate q15 from e_267 and e_351. e_351: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q15,q9,q4,q2,p14,p12,p10) is replaced by e_369: 8 terms, 16 factors, with derivatives of functions of all variables: (q19,q11,q9,q4,q2,p14,p12,p10) Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 740 2-Oct-2003 17:34:32, 40 ms (1%), 1062874 occupied, 23937074 free shortening by 2 terms Step 286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 741 2-Oct-2003 17:34:35, 40 ms (1%), 1062902 occupied, 23937045 free *** Garbage collection starting *** GC 742 2-Oct-2003 17:34:39, 40 ms (1%), 1064132 occupied, 23935816 free *** Garbage collection starting *** GC 743 2-Oct-2003 17:34:43, 40 ms (1%), 1066154 occupied, 23933794 free *** Garbage collection starting *** GC 744 2-Oct-2003 17:34:47, 40 ms (1%), 1066842 occupied, 23933106 free *** Garbage collection starting *** GC 745 2-Oct-2003 17:34:51, 40 ms (1%), 1067262 occupied, 23932686 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_142 and e_377. e_377: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q11,q9,q5,p14,p12,p11) is replaced by e_378: 6 terms, 12 factors, with derivatives of functions of all variables: (q11,q9,q5,p14,p12,p11) 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 746 2-Oct-2003 17:34:55, 40 ms (1%), 1065378 occupied, 23934569 free *** Garbage collection starting *** GC 747 2-Oct-2003 17:34:59, 50 ms (1%), 1067184 occupied, 23932763 free *** Garbage collection starting *** GC 748 2-Oct-2003 17:35:03, 40 ms (1%), 1068116 occupied, 23931831 free *** Garbage collection starting *** GC 749 2-Oct-2003 17:35:07, 40 ms (1%), 1068440 occupied, 23931507 free *** Garbage collection starting *** GC 750 2-Oct-2003 17:35:12, 40 ms (1%), 1068626 occupied, 23931321 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_120 and e_270. e_270: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q19,q10,p11,p7,p3) is replaced by e_379: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q10,q3,p14,p11,p7,p3) 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 : *** Garbage collection starting *** GC 751 2-Oct-2003 17:35:18, 40 ms (1%), 1063990 occupied, 23935958 free *** Garbage collection starting *** GC 752 2-Oct-2003 17:35:22, 40 ms (1%), 1065436 occupied, 23934512 free *** Garbage collection starting *** GC 753 2-Oct-2003 17:35:26, 40 ms (1%), 1066738 occupied, 23933210 free *** Garbage collection starting *** GC 754 2-Oct-2003 17:35:31, 40 ms (1%), 1067816 occupied, 23932132 free *** Garbage collection starting *** GC 755 2-Oct-2003 17:35:35, 40 ms (1%), 1068506 occupied, 23931442 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 756 2-Oct-2003 17:35:43, 40 ms (1%), 1101661 occupied, 23898283 free Eliminate q20 from e_132 and e_174. e_174: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q11,q10,q9,q4,p14,p8,p3,p2) is replaced by e_383: 6 terms, 12 factors, with derivatives of functions of all variables: (q11,q10,q9,q4,p14,p11,p8,p2) 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 757 2-Oct-2003 17:35:48, 40 ms (1%), 1065888 occupied, 23934059 free *** Garbage collection starting *** GC 758 2-Oct-2003 17:35:52, 40 ms (1%), 1067950 occupied, 23931997 free *** Garbage collection starting *** GC 759 2-Oct-2003 17:35:57, 50 ms (1%), 1068928 occupied, 23931019 free *** Garbage collection starting *** GC 760 2-Oct-2003 17:36:01, 50 ms (1%), 1069532 occupied, 23930415 free *** Garbage collection starting *** GC 761 2-Oct-2003 17:36:06, 40 ms (1%), 1069966 occupied, 23929981 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_263 and e_227. e_227: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q14,q11,q10,q5,q4,p11,p8,p7) is replaced by e_384: 7 terms, 14 factors, with derivatives of functions of all variables: (q14,q11,q10,q5,q4,p12,p11,p8,p7) 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 762 2-Oct-2003 17:36:12, 40 ms (1%), 1066204 occupied, 23933742 free *** Garbage collection starting *** GC 763 2-Oct-2003 17:36:17, 40 ms (1%), 1067930 occupied, 23932016 free *** Garbage collection starting *** GC 764 2-Oct-2003 17:36:21, 40 ms (1%), 1069160 occupied, 23930786 free *** Garbage collection starting *** GC 765 2-Oct-2003 17:36:26, 40 ms (1%), 1070374 occupied, 23929572 free *** Garbage collection starting *** GC 766 2-Oct-2003 17:36:31, 40 ms (1%), 1070768 occupied, 23929178 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_132 and e_48. e_48: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q19,q11,q9,q4,p14,p10,p8,p3) is replaced by e_385: 7 terms, 14 factors, with derivatives of functions of all variables: (q19,q11,q9,q4,p14,p11,p10,p8) Step 293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 767 2-Oct-2003 17:36:36, 50 ms (1%), 1067482 occupied, 23932465 free *** Garbage collection starting *** GC 768 2-Oct-2003 17:36:40, 40 ms (1%), 1069626 occupied, 23930321 free *** Garbage collection starting *** GC 769 2-Oct-2003 17:36:45, 40 ms (1%), 1071252 occupied, 23928695 free *** Garbage collection starting *** GC 770 2-Oct-2003 17:36:50, 40 ms (1%), 1072248 occupied, 23927699 free *** Garbage collection starting *** GC 771 2-Oct-2003 17:36:55, 50 ms (1%), 1072706 occupied, 23927241 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 772 2-Oct-2003 17:37:03, 40 ms (1%), 1076430 occupied, 23923516 free *** Garbage collection starting *** GC 773 2-Oct-2003 17:37:11, 40 ms (1%), 1073895 occupied, 23926051 free *** Garbage collection starting *** GC 774 2-Oct-2003 17:37:20, 40 ms (1%), 1106486 occupied, 23893455 free *** Garbage collection starting *** GC 775 2-Oct-2003 17:37:28, 40 ms (1%), 1105049 occupied, 23894893 free *** Garbage collection starting *** GC 776 2-Oct-2003 17:37:37, 40 ms (1%), 1103710 occupied, 23896231 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_302 we get the alternative equations : 0=p14 0=q7 New level : 1.1.1.1. CRACK is now called with the new equation e_271 : 0=p14 e_204,e_330,e_400,e_307,e_239 are consequences of e_271 Step 294: 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 7 terms e_60 is a consequence of e_342. e_219 is a consequence of e_333. e_97 is a consequence of e_320. Substitution of p14 found in e_271 : p14=0 Step 295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 777 2-Oct-2003 17:37:40, 40 ms (1%), 1060320 occupied, 23939631 free *** Garbage collection starting *** GC 778 2-Oct-2003 17:37:43, 40 ms (1%), 1062738 occupied, 23937213 free *** Garbage collection starting *** GC 779 2-Oct-2003 17:37:46, 30 ms (1%), 1063116 occupied, 23936835 free *** Garbage collection starting *** GC 780 2-Oct-2003 17:37:49, 40 ms (1%), 1063556 occupied, 23936395 free *** Garbage collection starting *** GC 781 2-Oct-2003 17:37:52, 40 ms (1%), 1064386 occupied, 23935565 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_175 and e_180. e_175: 0=(q11 - q9)*p12 is replaced by e_418: 0=p12*q9 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 782 2-Oct-2003 17:37:55, 40 ms (1%), 1061034 occupied, 23938917 free *** Garbage collection starting *** GC 783 2-Oct-2003 17:37:58, 40 ms (1%), 1062562 occupied, 23937389 free *** Garbage collection starting *** GC 784 2-Oct-2003 17:38:01, 40 ms (1%), 1062846 occupied, 23937105 free *** Garbage collection starting *** GC 785 2-Oct-2003 17:38:04, 40 ms (1%), 1063242 occupied, 23936709 free *** Garbage collection starting *** GC 786 2-Oct-2003 17:38:07, 40 ms (1%), 1064092 occupied, 23935859 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_418 and e_180. e_180: 0=(q11 + q9)*p12 is replaced by e_243: 0=p12*q11 Step 321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 787 2-Oct-2003 17:38:10, 40 ms (1%), 1061978 occupied, 23937972 free *** Garbage collection starting *** GC 788 2-Oct-2003 17:38:13, 40 ms (1%), 1063402 occupied, 23936548 free *** Garbage collection starting *** GC 789 2-Oct-2003 17:38:16, 40 ms (1%), 1063864 occupied, 23936086 free *** Garbage collection starting *** GC 790 2-Oct-2003 17:38:20, 40 ms (1%), 1064190 occupied, 23935760 free *** Garbage collection starting *** GC 791 2-Oct-2003 17:38:23, 40 ms (1%), 1064572 occupied, 23935378 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 792 2-Oct-2003 17:38:31, 40 ms (1%), 1101320 occupied, 23898626 free Eliminate q11 from e_265 and e_308. e_308: 4 terms, 8 factors, with derivatives of functions of all variables: (q11,q10,q9,q4,p11,p8) is replaced by e_290: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q9,q4,p11,p8) 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 793 2-Oct-2003 17:38:36, 40 ms (1%), 1062844 occupied, 23937107 free *** Garbage collection starting *** GC 794 2-Oct-2003 17:38:39, 30 ms (1%), 1064090 occupied, 23935861 free *** Garbage collection starting *** GC 795 2-Oct-2003 17:38:43, 40 ms (1%), 1064842 occupied, 23935109 free *** Garbage collection starting *** GC 796 2-Oct-2003 17:38:46, 40 ms (1%), 1065242 occupied, 23934709 free *** Garbage collection starting *** GC 797 2-Oct-2003 17:38:50, 40 ms (1%), 1065540 occupied, 23934411 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 798 2-Oct-2003 17:38:58, 40 ms (1%), 1080101 occupied, 23919849 free *** Garbage collection starting *** GC 799 2-Oct-2003 17:39:06, 30 ms (1%), 1097819 occupied, 23902132 free Eliminate q20 from e_405 and e_93. e_405: 0=p7*q20 - p8*q9 is replaced by e_277: 0=q9*(2*p4 - p8) 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 : *** Garbage collection starting *** GC 800 2-Oct-2003 17:39:11, 40 ms (1%), 1063506 occupied, 23936444 free *** Garbage collection starting *** GC 801 2-Oct-2003 17:39:15, 30 ms (1%), 1063792 occupied, 23936159 free *** Garbage collection starting *** GC 802 2-Oct-2003 17:39:18, 40 ms (1%), 1064102 occupied, 23935849 free *** Garbage collection starting *** GC 803 2-Oct-2003 17:39:22, 40 ms (1%), 1064780 occupied, 23935171 free *** Garbage collection starting *** GC 804 2-Oct-2003 17:39:25, 40 ms (1%), 1066334 occupied, 23933617 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_367 and e_263. e_367: 0=p12*q19 + p7*q20 is replaced by e_19: 0=(q10 - 2*q19)*p12 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 : *** Garbage collection starting *** GC 805 2-Oct-2003 17:39:30, 40 ms (1%), 1065616 occupied, 23934335 free shortening by 1 term Step 334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 : *** Garbage collection starting *** GC 806 2-Oct-2003 17:39:33, 40 ms (1%), 1063946 occupied, 23936005 free *** Garbage collection starting *** GC 807 2-Oct-2003 17:39:37, 30 ms (1%), 1065654 occupied, 23934297 free *** Garbage collection starting *** GC 808 2-Oct-2003 17:39:41, 40 ms (1%), 1067514 occupied, 23932437 free *** Garbage collection starting *** GC 809 2-Oct-2003 17:39:45, 30 ms (1%), 1068460 occupied, 23931491 free *** Garbage collection starting *** GC 810 2-Oct-2003 17:39:48, 40 ms (1%), 1068840 occupied, 23931111 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 811 2-Oct-2003 17:39:57, 40 ms (1%), 1068327 occupied, 23931623 free *** Garbage collection starting *** GC 812 2-Oct-2003 17:40:06, 40 ms (1%), 1090048 occupied, 23909902 free *** Garbage collection starting *** GC 813 2-Oct-2003 17:40:15, 40 ms (1%), 1089302 occupied, 23910648 free Eliminate q11 from e_234 and e_369. e_369: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q11,q10,p8,p4,p3) is replaced by e_357: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q10,q9,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 : *** Garbage collection starting *** GC 814 2-Oct-2003 17:40:20, 40 ms (1%), 1066322 occupied, 23933628 free *** Garbage collection starting *** GC 815 2-Oct-2003 17:40:24, 40 ms (1%), 1068214 occupied, 23931736 free *** Garbage collection starting *** GC 816 2-Oct-2003 17:40:28, 50 ms (1%), 1068516 occupied, 23931434 free *** Garbage collection starting *** GC 817 2-Oct-2003 17:40:32, 40 ms (1%), 1068744 occupied, 23931206 free *** Garbage collection starting *** GC 818 2-Oct-2003 17:40:36, 40 ms (1%), 1069194 occupied, 23930756 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_93 and e_263. e_263: 0=p12*q10 + 2*p7*q20 is replaced by e_107: 0=p12*q10 + 4*p4*q9 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 819 2-Oct-2003 17:40:44, 40 ms (1%), 1066652 occupied, 23933299 free *** Garbage collection starting *** GC 820 2-Oct-2003 17:40:48, 40 ms (1%), 1068830 occupied, 23931121 free *** Garbage collection starting *** GC 821 2-Oct-2003 17:40:52, 40 ms (1%), 1069584 occupied, 23930367 free *** Garbage collection starting *** GC 822 2-Oct-2003 17:40:56, 40 ms (1%), 1070210 occupied, 23929741 free *** Garbage collection starting *** GC 823 2-Oct-2003 17:41:00, 50 ms (1%), 1070974 occupied, 23928977 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_107 and e_390. e_390: 0=p12*q10 - p3*q20 + p8*q9 is replaced by e_364: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q9,p8,p4,p3) Step 338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 824 2-Oct-2003 17:41:06, 30 ms (1%), 1068820 occupied, 23931131 free *** Garbage collection starting *** GC 825 2-Oct-2003 17:41:10, 40 ms (1%), 1070308 occupied, 23929643 free *** Garbage collection starting *** GC 826 2-Oct-2003 17:41:15, 40 ms (1%), 1070840 occupied, 23929111 free *** Garbage collection starting *** GC 827 2-Oct-2003 17:41:19, 40 ms (1%), 1071284 occupied, 23928667 free *** Garbage collection starting *** GC 828 2-Oct-2003 17:41:24, 40 ms (1%), 1071680 occupied, 23928271 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_364 and e_357. e_357: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q10,q9,p8,p4,p3) is replaced by e_215: 4 terms, 8 factors, with derivatives of functions of all variables: (q10,q9,p8,p4) 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 829 2-Oct-2003 17:41:29, 40 ms (1%), 1070094 occupied, 23929857 free *** Garbage collection starting *** GC 830 2-Oct-2003 17:41:34, 40 ms (1%), 1071966 occupied, 23927985 free *** Garbage collection starting *** GC 831 2-Oct-2003 17:41:38, 40 ms (1%), 1072442 occupied, 23927509 free *** Garbage collection starting *** GC 832 2-Oct-2003 17:41:43, 40 ms (1%), 1072740 occupied, 23927211 free *** Garbage collection starting *** GC 833 2-Oct-2003 17:41:48, 40 ms (1%), 1073398 occupied, 23926553 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 834 2-Oct-2003 17:41:58, 40 ms (1%), 1098946 occupied, 23901001 free *** Garbage collection starting *** GC 835 2-Oct-2003 17:42:07, 40 ms (1%), 1082703 occupied, 23917246 free *** Garbage collection starting *** GC 836 2-Oct-2003 17:42:17, 40 ms (1%), 1072812 occupied, 23927138 free *** Garbage collection starting *** GC 837 2-Oct-2003 17:42:27, 40 ms (1%), 1085388 occupied, 23914561 free *** Garbage collection starting *** GC 838 2-Oct-2003 17:42:37, 40 ms (1%), 1088126 occupied, 23911825 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_328 we get the alternative equations : 0=p10 0=q9 New level : 1.1.1.1.1. CRACK is now called with the new equation e_394 : 0=p10 e_294,e_363,e_374,e_174 are consequences of e_394 Step 340: Hot list of urgent steps : The list of inequalities got extended by: g0040*p16 + g0044*p12 + g0045*p11 e_415 is a consequence of e_204. Substitution of p10 found in e_394 : p10=0 Step 341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 839 2-Oct-2003 17:42:40, 40 ms (1%), 1069767 occupied, 23930183 free *** Garbage collection starting *** GC 840 2-Oct-2003 17:42:43, 30 ms (1%), 1071137 occupied, 23928813 free *** Garbage collection starting *** GC 841 2-Oct-2003 17:42:46, 40 ms (1%), 1072269 occupied, 23927681 free *** Garbage collection starting *** GC 842 2-Oct-2003 17:42:49, 30 ms (1%), 1072723 occupied, 23927227 free *** Garbage collection starting *** GC 843 2-Oct-2003 17:42:53, 30 ms (1%), 1072955 occupied, 23926995 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_416 and e_19. e_19: 0=(q10 - 2*q19)*p12 is replaced by e_401: 0=p12*q19 e_401 is a consequence of e_204. Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 844 2-Oct-2003 17:42:56, 40 ms (1%), 1071297 occupied, 23928651 free *** Garbage collection starting *** GC 845 2-Oct-2003 17:42:59, 40 ms (1%), 1071787 occupied, 23928161 free *** Garbage collection starting *** GC 846 2-Oct-2003 17:43:02, 40 ms (1%), 1072087 occupied, 23927861 free *** Garbage collection starting *** GC 847 2-Oct-2003 17:43:06, 40 ms (1%), 1072359 occupied, 23927589 free *** Garbage collection starting *** GC 848 2-Oct-2003 17:43:09, 40 ms (1%), 1072663 occupied, 23927285 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_408 and e_265. e_265: 0=(2*q11 - q4 + 3*q9)*p8 is replaced by e_387: 0=(q4 - 3*q9)*p8 Step 354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 849 2-Oct-2003 17:43:14, 40 ms (1%), 1071441 occupied, 23928509 free *** Garbage collection starting *** GC 850 2-Oct-2003 17:43:17, 40 ms (1%), 1072123 occupied, 23927827 free *** Garbage collection starting *** GC 851 2-Oct-2003 17:43:21, 40 ms (1%), 1072453 occupied, 23927497 free *** Garbage collection starting *** GC 852 2-Oct-2003 17:43:24, 40 ms (1%), 1073575 occupied, 23926375 free *** Garbage collection starting *** GC 853 2-Oct-2003 17:43:28, 40 ms (1%), 1074161 occupied, 23925789 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_387 and e_290. e_290: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q9,q4,p11,p8) is replaced by e_22: 0=3*p11*q10 + p8*q4 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 854 2-Oct-2003 17:43:34, 40 ms (1%), 1071953 occupied, 23927997 free *** Garbage collection starting *** GC 855 2-Oct-2003 17:43:37, 40 ms (1%), 1075309 occupied, 23924641 free shortening by 1 term Step 356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 856 2-Oct-2003 17:43:41, 40 ms (1%), 1071457 occupied, 23928493 free *** Garbage collection starting *** GC 857 2-Oct-2003 17:43:44, 40 ms (1%), 1074595 occupied, 23925353 free *** Garbage collection starting *** GC 858 2-Oct-2003 17:43:48, 40 ms (1%), 1075827 occupied, 23924121 free *** Garbage collection starting *** GC 859 2-Oct-2003 17:43:52, 40 ms (1%), 1076147 occupied, 23923801 free *** Garbage collection starting *** GC 860 2-Oct-2003 17:43:56, 40 ms (1%), 1076451 occupied, 23923497 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_387 and e_286. e_286: 3 terms, 6 factors, with derivatives of functions of all variables: (q11,q9,q4,p11,p8) is replaced by e_363: 0=3*p11*q11 - 5*p8*q4 Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 861 2-Oct-2003 17:44:00, 40 ms (1%), 1073967 occupied, 23925983 free *** Garbage collection starting *** GC 862 2-Oct-2003 17:44:03, 40 ms (1%), 1074601 occupied, 23925349 free *** Garbage collection starting *** GC 863 2-Oct-2003 17:44:07, 40 ms (1%), 1075533 occupied, 23924417 free *** Garbage collection starting *** GC 864 2-Oct-2003 17:44:11, 40 ms (1%), 1076603 occupied, 23923347 free *** Garbage collection starting *** GC 865 2-Oct-2003 17:44:16, 40 ms (1%), 1077601 occupied, 23922348 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_386 and e_343. e_343: 3 terms, 6 factors, with derivatives of functions of all variables: (q11,q10,q3,p11,p8,p2) is replaced by e_394: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q3,p11,p8,p2) Step 360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 866 2-Oct-2003 17:44:19, 30 ms (1%), 1073303 occupied, 23926648 free *** Garbage collection starting *** GC 867 2-Oct-2003 17:44:23, 40 ms (1%), 1074375 occupied, 23925576 free *** Garbage collection starting *** GC 868 2-Oct-2003 17:44:26, 40 ms (1%), 1075479 occupied, 23924472 free shortening by 1 term Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 869 2-Oct-2003 17:44:30, 40 ms (1%), 1071501 occupied, 23928450 free *** Garbage collection starting *** GC 870 2-Oct-2003 17:44:33, 40 ms (1%), 1074239 occupied, 23925711 free *** Garbage collection starting *** GC 871 2-Oct-2003 17:44:37, 40 ms (1%), 1075773 occupied, 23924177 free *** Garbage collection starting *** GC 872 2-Oct-2003 17:44:41, 40 ms (1%), 1076435 occupied, 23923515 free *** Garbage collection starting *** GC 873 2-Oct-2003 17:44:45, 40 ms (1%), 1076737 occupied, 23923213 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_425 and e_340. e_340: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q12,q3,q2,p16,p2) is replaced by e_228: 3 terms, 6 factors, with derivatives of functions of all variables: (q12,q3,q2,p16,p2) Step 365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 874 2-Oct-2003 17:44:50, 40 ms (1%), 1075415 occupied, 23924536 free *** Garbage collection starting *** GC 875 2-Oct-2003 17:44:54, 40 ms (1%), 1076821 occupied, 23923130 free *** Garbage collection starting *** GC 876 2-Oct-2003 17:44:58, 30 ms (1%), 1077259 occupied, 23922692 free *** Garbage collection starting *** GC 877 2-Oct-2003 17:45:02, 40 ms (1%), 1077549 occupied, 23922401 free *** Garbage collection starting *** GC 878 2-Oct-2003 17:45:07, 40 ms (1%), 1078043 occupied, 23921907 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_387 and e_96. e_96: 0=p3*q20 - p8*q9 is replaced by e_302: 0=3*p3*q20 - p8*q4 Step 366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 879 2-Oct-2003 17:45:15, 30 ms (1%), 1073973 occupied, 23925977 free *** Garbage collection starting *** GC 880 2-Oct-2003 17:45:20, 40 ms (1%), 1076913 occupied, 23923036 free *** Garbage collection starting *** GC 881 2-Oct-2003 17:45:24, 40 ms (1%), 1078685 occupied, 23921263 free *** Garbage collection starting *** GC 882 2-Oct-2003 17:45:29, 40 ms (1%), 1079071 occupied, 23920877 free *** Garbage collection starting *** GC 883 2-Oct-2003 17:45:34, 40 ms (1%), 1079771 occupied, 23920177 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_386 and e_132. e_132: 0=p11*q11 - p3*q20 is replaced by e_235: 0=p11*q10 - p3*q20 Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_213 is a consequence of e_316. Step 373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 884 2-Oct-2003 17:45:39, 40 ms (1%), 1074941 occupied, 23925009 free *** Garbage collection starting *** GC 885 2-Oct-2003 17:45:44, 30 ms (1%), 1076129 occupied, 23923821 free *** Garbage collection starting *** GC 886 2-Oct-2003 17:45:49, 40 ms (1%), 1076913 occupied, 23923037 free *** Garbage collection starting *** GC 887 2-Oct-2003 17:45:54, 40 ms (1%), 1077435 occupied, 23922515 free *** Garbage collection starting *** GC 888 2-Oct-2003 17:45:59, 30 ms (1%), 1077977 occupied, 23921973 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q11 from e_146 and e_386. e_386: 0=(q10 - q11)*p11 is replaced by e_367: 0=p11*q10 e_367 is a consequence of e_330. Step 378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 889 2-Oct-2003 17:46:04, 40 ms (1%), 1077649 occupied, 23922301 free *** Garbage collection starting *** GC 890 2-Oct-2003 17:46:10, 40 ms (1%), 1078831 occupied, 23921118 free shortening by 1 term Step 379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 891 2-Oct-2003 17:46:15, 40 ms (1%), 1076617 occupied, 23923332 free *** Garbage collection starting *** GC 892 2-Oct-2003 17:46:21, 40 ms (1%), 1080487 occupied, 23919462 free *** Garbage collection starting *** GC 893 2-Oct-2003 17:46:26, 40 ms (1%), 1081453 occupied, 23918496 free *** Garbage collection starting *** GC 894 2-Oct-2003 17:46:32, 40 ms (1%), 1082045 occupied, 23917904 free *** Garbage collection starting *** GC 895 2-Oct-2003 17:46:39, 40 ms (1%), 1082421 occupied, 23917528 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q4 from e_380 and e_387. e_387: 0=(q4 - 3*q9)*p8 is replaced by e_272: 0=p8*q9 Step 380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 896 2-Oct-2003 17:46:45, 40 ms (1%), 1077469 occupied, 23922481 free *** Garbage collection starting *** GC 897 2-Oct-2003 17:46:52, 40 ms (1%), 1079115 occupied, 23920835 free *** Garbage collection starting *** GC 898 2-Oct-2003 17:46:58, 40 ms (1%), 1080233 occupied, 23919717 free *** Garbage collection starting *** GC 899 2-Oct-2003 17:47:05, 40 ms (1%), 1080779 occupied, 23919171 free *** Garbage collection starting *** GC 900 2-Oct-2003 17:47:13, 40 ms (1%), 1081705 occupied, 23918245 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 901 2-Oct-2003 17:47:22, 40 ms (1%), 1088229 occupied, 23911721 free *** Garbage collection starting *** GC 902 2-Oct-2003 17:47:31, 40 ms (1%), 1093903 occupied, 23906045 free Eliminate q12 from e_228 and e_145. e_145: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q12,q3,p16,p11,p2) is replaced by e_369: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q3,q2,p16,p11) Step 382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 903 2-Oct-2003 17:47:39, 40 ms (1%), 1078053 occupied, 23921897 free *** Garbage collection starting *** GC 904 2-Oct-2003 17:47:47, 40 ms (1%), 1081829 occupied, 23918119 free *** Garbage collection starting *** GC 905 2-Oct-2003 17:47:55, 40 ms (1%), 1082819 occupied, 23917129 free *** Garbage collection starting *** GC 906 2-Oct-2003 17:48:03, 40 ms (1%), 1084457 occupied, 23915490 free *** Garbage collection starting *** GC 907 2-Oct-2003 17:48:12, 40 ms (1%), 1084989 occupied, 23914958 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 908 2-Oct-2003 17:48:21, 40 ms (1%), 1081865 occupied, 23918085 free Eliminate q12 from e_228 and e_40. e_40: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q12,q5,q3,p16,p9,p2) is replaced by e_263: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q5,q3,q2,p16,p9) Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 909 2-Oct-2003 17:48:30, 40 ms (1%), 1081117 occupied, 23918832 free *** Garbage collection starting *** GC 910 2-Oct-2003 17:48:39, 40 ms (1%), 1083401 occupied, 23916549 free *** Garbage collection starting *** GC 911 2-Oct-2003 17:48:49, 50 ms (1%), 1084253 occupied, 23915697 free *** Garbage collection starting *** GC 912 2-Oct-2003 17:48:59, 50 ms (1%), 1085335 occupied, 23914615 free *** Garbage collection starting *** GC 913 2-Oct-2003 17:49:09, 40 ms (1%), 1086385 occupied, 23913565 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_263 and e_34. e_34: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q12,q5,q2,p16,p9,p4) is replaced by e_370: 4 terms, 8 factors, with derivatives of functions of all variables: (q12,q5,q3,q2,p16,p4) Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 914 2-Oct-2003 17:49:20, 40 ms (1%), 1084497 occupied, 23915453 free *** Garbage collection starting *** GC 915 2-Oct-2003 17:49:32, 40 ms (1%), 1086073 occupied, 23913877 free *** Garbage collection starting *** GC 916 2-Oct-2003 17:49:44, 40 ms (1%), 1087367 occupied, 23912583 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 917 2-Oct-2003 17:49:58, 40 ms (1%), 1090040 occupied, 23909909 free *** Garbage collection starting *** GC 918 2-Oct-2003 17:50:07, 50 ms (1%), 1097220 occupied, 23902728 free Eliminate q18 from e_437 and e_447. e_447: 8 terms, 16 factors, with derivatives of functions of all variables: (q18,q16,q14,q12,q5,q4,q2,p12,p9,p6,p4,p3,p2) is replaced by e_334: 8 terms, 16 factors, with derivatives of functions of all variables: (q16,q14,q5,q4,q2,p12,p4,p3,p2) Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 919 2-Oct-2003 17:50:20, 40 ms (1%), 1086705 occupied, 23913244 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 920 2-Oct-2003 17:50:32, 40 ms (1%), 1084388 occupied, 23915560 free Eliminate q18 from e_442 and e_163. e_163: 7 terms, 14 factors, with derivatives of functions of all variables: (q18,q16,q12,q5,q3,p12,p11,p9,p6,p4,p1) is replaced by e_269: 7 terms, 14 factors, with derivatives of functions of all variables: (q16,q5,q4,q3,p12,p11,p4,p1) Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 921 2-Oct-2003 17:50:45, 40 ms (1%), 1087861 occupied, 23912088 free --- Length reducing decoupling steps : Eliminate q18 from e_424 and e_438. e_438: 6 terms, 12 factors, with derivatives of functions of all variables: (q18,q14,q12,q7,q3,q2,p16,p12,p9,p6,p3,p2) is replaced by e_377: 6 terms, 12 factors, with derivatives of functions of all variables: (q14,q12,q7,q3,q2,p16,p12,p6,p3,p2,p1) Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 922 2-Oct-2003 17:50:58, 40 ms (1%), 1083615 occupied, 23916334 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 923 2-Oct-2003 17:51:12, 40 ms (1%), 1093806 occupied, 23906142 free Eliminate q13 from e_77 and e_46. e_46: 9 terms, 18 factors, with derivatives of functions of all variables: (q21,q17,q15,q13,q12,q7,q6,q4,q2,p9,p5,p3,p1) is replaced by e_365: 9 terms, 18 factors, with derivatives of functions of all variables: (q21,q17,q15,q12,q7,q6,q5,q4,q2,p9,p5,p3,p1) Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 924 2-Oct-2003 17:51:25, 40 ms (1%), 1085673 occupied, 23914274 free --- Length reducing decoupling steps : Eliminate q18 from e_424 and e_443. e_443: 6 terms, 12 factors, with derivatives of functions of all variables: (q18,q16,q14,q12,q2,p9,p6,p4,p2,p1) is replaced by e_26: 6 terms, 12 factors, with derivatives of functions of all variables: (q16,q14,q12,q7,q2,p16,p6,p4,p2,p1) Step 392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 925 2-Oct-2003 17:51:39, 50 ms (1%), 1085229 occupied, 23914720 free shortening by 1 term Step 393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 926 2-Oct-2003 17:51:53, 50 ms (1%), 1093893 occupied, 23906056 free Eliminate q17 from e_154 and e_161. e_161: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q17,q13,q12,q6,q2,p9,p5,p1) is replaced by e_167: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q15,q13,q6,q5,q2,p9,p5,p3,p1) Step 394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 927 2-Oct-2003 17:52:07, 40 ms (1%), 1085455 occupied, 23914494 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 928 2-Oct-2003 17:52:22, 40 ms (1%), 1090253 occupied, 23909696 free Eliminate q18 from e_427 and e_185. e_185: 7 terms, 14 factors, with derivatives of functions of all variables: (q18,q15,q8,q7,q5,q4,p11,p6,p3,p2) is replaced by e_361: 7 terms, 14 factors, with derivatives of functions of all variables: (q15,q14,q8,q7,q5,q4,p12,p6,p5,p3,p2) Step 395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 929 2-Oct-2003 17:52:37, 40 ms (1%), 1089405 occupied, 23910543 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 930 2-Oct-2003 17:52:54, 40 ms (1%), 1093805 occupied, 23906143 free --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 931 2-Oct-2003 17:53:26, 50 ms (1%), 1087466 occupied, 23912482 free factorizing e_256 we get the alternative equations : 0=p16 0=q9 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_454 : 0=p16 e_9,e_423,e_425,e_39,e_238,e_224 are consequences of e_454 Step 396: Hot list of urgent steps : The list of inequalities got extended by: g0044*p12 + g0045*p11 Substitution of p16 found in e_454 : p16=0 Step 397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 932 2-Oct-2003 17:53:30, 40 ms (1%), 1078332 occupied, 23921618 free *** Garbage collection starting *** GC 933 2-Oct-2003 17:53:34, 30 ms (1%), 1079282 occupied, 23920667 free *** Garbage collection starting *** GC 934 2-Oct-2003 17:53:39, 40 ms (1%), 1079786 occupied, 23920164 free *** Garbage collection starting *** GC 935 2-Oct-2003 17:53:44, 40 ms (1%), 1080248 occupied, 23919702 free *** Garbage collection starting *** GC 936 2-Oct-2003 17:53:49, 40 ms (1%), 1080850 occupied, 23919100 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_381 and e_61. e_61: 0=(q12 - q21)*p12 is replaced by e_392: 0=p12*q12 Step 402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 937 2-Oct-2003 17:53:54, 40 ms (1%), 1081744 occupied, 23918206 free *** Garbage collection starting *** GC 938 2-Oct-2003 17:53:59, 40 ms (1%), 1082606 occupied, 23917344 free *** Garbage collection starting *** GC 939 2-Oct-2003 17:54:05, 40 ms (1%), 1083360 occupied, 23916589 free *** Garbage collection starting *** GC 940 2-Oct-2003 17:54:11, 40 ms (1%), 1084152 occupied, 23915797 free *** Garbage collection starting *** GC 941 2-Oct-2003 17:54:18, 40 ms (1%), 1085360 occupied, 23914589 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_80 and e_215. e_215: 0=(q12 - q21)*p11 is replaced by e_185: 0=p11*q12 Step 403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 942 2-Oct-2003 17:54:25, 40 ms (1%), 1083322 occupied, 23916627 free *** Garbage collection starting *** GC 943 2-Oct-2003 17:54:33, 40 ms (1%), 1084376 occupied, 23915573 free *** Garbage collection starting *** GC 944 2-Oct-2003 17:54:41, 40 ms (1%), 1085474 occupied, 23914475 free *** Garbage collection starting *** GC 945 2-Oct-2003 17:54:50, 50 ms (1%), 1086550 occupied, 23913399 free --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. *** Garbage collection starting *** GC 946 2-Oct-2003 17:55:02, 40 ms (0%), 1090941 occupied, 23909008 free Eliminate q12 from e_282 and e_340. e_340: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q13,q12,q2,p11,p6,p2,p1) is replaced by e_141: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q13,q2,p11,p4,p2,p1) Step 404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 947 2-Oct-2003 17:55:19, 40 ms (0%), 1085680 occupied, 23914269 free --- Length reducing decoupling steps : Eliminate q16 from e_219 and e_51. e_51: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q14,q2,p4,p2,p1) is replaced by e_108: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q13,q2,p11,p4,p2,p1) Step 405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 948 2-Oct-2003 17:55:29, 40 ms (0%), 1085194 occupied, 23914755 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 949 2-Oct-2003 17:55:40, 40 ms (0%), 1089946 occupied, 23910003 free Eliminate q14 from e_157 and e_271. e_271: 0=p1*q14 + 2*p9*q18 is replaced by e_440: 0=p6*q12 - p9*q18 Step 409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 950 2-Oct-2003 17:55:49, 40 ms (0%), 1083112 occupied, 23916838 free *** Garbage collection starting *** GC 951 2-Oct-2003 17:55:59, 40 ms (0%), 1085022 occupied, 23914927 free *** Garbage collection starting *** GC 952 2-Oct-2003 17:56:08, 40 ms (0%), 1087678 occupied, 23912272 free *** Garbage collection starting *** GC 953 2-Oct-2003 17:56:18, 50 ms (0%), 1088678 occupied, 23911272 free *** Garbage collection starting *** GC 954 2-Oct-2003 17:56:30, 40 ms (0%), 1089614 occupied, 23910336 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_440 and e_96. e_96: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q13,p12,p11,p9) is replaced by e_39: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q12,p12,p11,p6) Step 417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 955 2-Oct-2003 17:56:44, 40 ms (0%), 1087615 occupied, 23912335 free --- Factorization to subcases leading to substitutions : factorizing e_418 we get the alternative equations : 0=p12 0=q9 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_480 : 0=p12 e_132,e_54,e_243,e_204,e_416,e_381,e_392 are consequences of e_480 Step 418: Hot list of urgent steps : The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p12,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1 New ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p12,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11 e_454 is a consequence of e_80.e_342 is a consequence of e_302 Substitution of p12 found in e_480 : p12=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 6 terms The list of inequalities got extended by: An expression with 8 terms e_173 is a consequence of e_185. Substitution of q19 found in e_198 : q19=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: An expression with 10 terms The list of inequalities got extended by: An expression with 5 terms e_234 is a consequence of e_330. e_373 is a consequence of e_80. *** Garbage collection starting *** GC 956 2-Oct-2003 17:57:11, 30 ms (0%), 1072784 occupied, 23927167 free e_359 is a consequence of e_146. Substitution of q9 found in e_199 : q9=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: An expression with 9 terms The list of inequalities got extended by: An expression with 4 terms e_233 is a consequence of e_146. e_34 is a consequence of e_146. e_41 is a consequence of e_146. e_21 is a consequence of e_364. Substitution of q10 found in e_330 : q10=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: An expression with 8 terms The list of inequalities got extended by: g0003*q20 + g0011*p8 + g0012*p7 e_356 is a consequence of e_302. Substitution of q11 found in e_146 : 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: An expression with 7 terms e_443 is a consequence of e_185. Substitution of q21 found in e_80 : q21=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: An expression with 7 terms e_93 is a consequence of e_180 Substitution of q12 found in e_185 : q12=0 Step 425: Hot list 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 q6 found in e_302 : q6=0 Step 426: Hot list 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_241,e_103 are consequences of e_411 e_331 is a consequence of e_411. Substitution of q13 found in e_180 : q13=0 Step 427: Hot list 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_275 is a consequence of e_51. e_437 is a consequence of e_398. Substitution of q2 found in e_411 : q2=0 Step 428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 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_475 is a consequence of e_232. e_95 is a consequence of e_398. e_477 is a consequence of e_60. Substitution of q20 by an expression in q14, p8, p11 found in e_396 : p8*q14 q20=-------- p11 Step 429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 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_398 is a consequence of e_112. e_132 is a consequence of e_124. e_481 is a consequence of e_257. e_482 is a consequence of e_22.e_483 is a consequence of e_484 e_485 is a consequence of e_484. e_174 is a consequence of e_22. e_487 is a consequence of e_484. e_490 is a consequence of e_484. e_491 is a consequence of e_484. Substitution of q14 by an expression in q16, p2, p11 found in e_25 : 2*p2*q16 q14=---------- p11 Step 430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 6 terms e_108 is a consequence of e_112. e_108 is a consequence of e_22. e_274 is a consequence of e_22. e_447 is a consequence of e_22. e_447 is a consequence of e_257. Substitution of q17 by an expression in q16, p5, p2, p11 found in e_213 : 2*p2*p5*q16 q17=------------- 2 p11 Step 431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 6 terms Substitution of q3 by an expression in q16, q4, p3, p2, p11 found in e_395 : 10 factors in 3 terms Step 432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q15 by an expression in q16, q4, p3, p2, p11 found in e_193 : 8 factors in 3 terms Step 433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q7 by an expression in q18, q16, p5, p3, p2, p11 found in e_284 : 10 factors in 3 terms 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 8 terms e_40 is a consequence of e_360. e_364 is a consequence of e_380. Substitution of q5 by an expression in q4, p4, p11 found in e_305 : 7 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 8 terms The list of inequalities got extended by: An expression with 9 terms e_356 is a consequence of e_320. e_146 is a consequence of e_145. e_443 is a consequence of e_8. Substitution of q18 by an expression in q8, p4, p2, p11 found in e_308 : 9 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_396 is a consequence of e_257. e_396 is a consequence of e_461. 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 e_381 is a consequence of e_257. e_381 is a consequence of e_461. 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 2 terms e_416 is a consequence of e_22. e_416 is a consequence of e_257. 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 2 terms e_54 is a consequence of e_22. e_54 is a consequence of e_461. 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 3 terms Step 452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_482 is a consequence of e_279. 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 e_483 is a consequence of e_279. 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 e_485 is a consequence of e_80. Step 455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_490 is a consequence of e_320. e_490 is a consequence of e_174. 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 e_491 is a consequence of e_174. Step 458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_342 is a consequence of e_391. Step 460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_234 is a consequence of e_461. e_234 is a consequence of e_484. Step 470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_80 is a consequence of e_373 Step 471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_233 is a consequence of e_390. Step 473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_331 is a consequence of e_103. Step 489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 957 2-Oct-2003 17:57:14, 40 ms (0%), 1083648 occupied, 23916302 free Eliminate q16 from e_258 and e_93. e_93: 3 terms, 6 factors, with derivatives of functions of all variables: (q16,q4,p4,p3,p11) is replaced by e_286: 0=q4*(p11 - p4) Step 492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_258 and e_463. e_463: 3 terms, 6 factors, with derivatives of functions of all variables: (q16,q4,p4,p3,p11) is replaced by e_449: 0=q4*(p11 - 3*p4) Step 494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_334 is a consequence of e_395. Step 495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_461 and e_330. e_330: 4 terms, 16 factors, with derivatives of functions of all variables: 2 3 (q16,q4,p4 ,p4,p3,p2,p11 ,p11) is replaced by e_269: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 2 (q4,p4 ,p4,p2,p11 ) Step 496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_443 and e_258. e_258: 0=p3*q16 - p4*q4 is replaced by e_256: 0=q4*(p2 - p4) Step 497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 958 2-Oct-2003 17:57:18, 60 ms (0%), 1071579 occupied, 23928372 free Eliminate q16 from e_461 and e_9. e_9: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q16,q4,p3 ,p3,p2,p1,p11 ,p11) is replaced by e_455: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q4,p3,p2,p1,p11) Step 501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q8 from e_174 and e_198. e_198: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 2 (q8,q4,p6,p4 ,p4,p3,p2 ,p2,p11 ,p11) is replaced by e_457: 0=p6*q4 Step 502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- 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 : --- Length reducing decoupling steps : Eliminate q16 from e_461 and e_372. e_372: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q16,q8,p6,p4,p3,p2 ,p2,p11 ) is replaced by e_59: (#) 3 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q8,p4,p3,p2 ,p2,p11 ) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_461 and e_462. e_462: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q16,q8,p6,p4,p3,p2 ,p2,p1,p11 ,p11) is replaced by e_465: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 2 (q8,p4,p3,p2 ,p2,p1,p11 ,p11) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_461 and e_108. e_108: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q16,q8,q4,p9,p4,p3 ,p3,p2,p1,p11 ,p11) is replaced by e_493: 5 terms, 20 factors, with derivatives of functions of all variables: 2 (q8,q4,p9,p4,p3,p2,p1,p11 ,p11) 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 : Eliminate q8 from e_174 and e_493. e_493: 5 terms, 20 factors, with derivatives of functions of all variables: 2 (q8,q4,p9,p4,p3,p2,p1,p11 ,p11) is replaced by e_467: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q4,p4,p3,p1,p11) Step 509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_112 we get the alternative equations : 0=q16 0=p1 New level : 1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_548 : 0=q16 e_494,e_492,e_255,e_486,e_484,e_461,e_257,e_124,e_22 are consequences of e_548 Step 510: Hot list of urgent steps : The list of inequalities got extended by: g0011*p8 + g0012*p7 The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: An expression with 7 terms e_390,e_445 are consequences of e_454 Substitution of q16 found in e_548 : q16=0 Step 511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_51 is a consequence of e_19. Step 513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_362 is a consequence of e_19. Step 514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_130 is a consequence of e_19. Step 515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_357 is a consequence of e_19. Step 516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_34 is a consequence of e_19. Step 518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_234 is a consequence of e_19. Step 519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_425 is a consequence of e_466 Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_107 is a consequence of e_433. Step 524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_377 is a consequence of e_433. Step 525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_473 is a consequence of e_415. Step 527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 959 2-Oct-2003 17:57:23, 40 ms (0%), 1067784 occupied, 23932166 free --- Factorization to subcases leading to substitutions : factorizing e_67 we get the alternative equations : 0=q8 0=p4 New level : 1.1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_223 : 0=q8 e_287,e_342,e_8,e_320,e_145,e_373,e_19,e_80,e_472,e_95 are consequences of e_223 Step 530: Hot list of urgent steps : The list of inequalities got extended by: q4 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: q8,q4,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11 New ordering: q8,q4,p9,p8,p7,p6,p5,p3,p2,p1,p4,p11 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: q8,q4,p9,p8,p7,p6,p5,p3,p2,p1,p4,p11 New ordering: q8,q4,p9,p8,p7,p6,p5,p3,p1,p2,p4,p11 The list of inequalities got extended by: An expression with 4 terms Substitution of q8 found in e_223 : q8=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: An expression with 5 terms Substitution of p9 found in e_395 : p9=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: An expression with 4 terms Substitution of p3 found in e_415 : p3=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: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q4,p8,p7,p6,p5,p1,p2,p4,p11 New ordering: q4,p8,p6,p5,p1,p7,p2,p4,p11 Substitution of p8 found in e_380 : p8=0 Step 534: 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 Time: 0 ms Time: 0 ms Time: 10 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: q8,q4,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11 New ordering: q8,q4,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11 The list of inequalities got extended by: q8 The lexicographical ordering of unknowns is changed because q8 has to be non-zero, giving q8 a low priority. Old ordering: q8,q4,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11 New ordering: q4,q8,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q4,q8,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11 New ordering: q4,q8,p9,p8,p7,p6,p5,p3,p1,p4,p2,p11 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: q16 The lexicographical ordering of unknowns is changed because q16 has to be non-zero, giving q16 a low priority. Old ordering: q16,q8,q4,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11 New ordering: q8,q4,q16,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11 New level : 1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_548 : 0=p1 e_279,e_425 are consequences of e_548 Step 535: Hot list of urgent steps : The list of inequalities got extended by: An expression with 5 terms e_454 is a consequence of e_174. e_19 is a consequence of e_461. e_282 is a consequence of e_342. e_477 is a consequence of e_342. e_147 is a consequence of e_287. e_147 is a consequence of e_174. e_447 is a consequence of e_174. Substitution of p1 found in e_548 : p1=0 Step 536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: 2 2*g0003*p2*q16 + g0011*p11 p8 The lexicographical ordering of unknowns is changed because p8 has to be non-zero, giving p8 a low priority. Old ordering: q8,q4,q16,p9,p8,p7,p6,p5,p4,p3,p2,p11 New ordering: q8,q4,q16,p9,p7,p6,p5,p4,p3,p2,p8,p11 The list of inequalities got extended by: An expression with 4 terms Substitution of p7 found in e_257 : p7=0 Step 537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 6 terms e_130 is a consequence of e_484. e_357 is a consequence of e_380. e_357 is a consequence of e_484.e_390,e_445 are consequences of e_357 e_457 is a consequence of e_400 e_234 is a consequence of e_400. Substitution of q8 found in e_320 : q8=0 Step 538: Hot list 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: 2*g0024*p5 - g0028*p3 p2 e_107 is a consequence of e_461. Substitution of q4 found in e_380 : q4=0 Step 539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p2=0 because of the non-vanishing expression: p2 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 80 ms The list of inequalities got extended by: p12 The lexicographical ordering of unknowns is changed because p12 has to be non-zero, giving p12 a low priority. Old ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p12,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1 New ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New level : 1.1.1.1.1.1.2. CRACK is now called with the new equation e_480 : 0=q9 e_48,e_277,e_417,e_338,e_179,e_199,e_2,e_272 are consequences of e_480 Step 540: 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 6 terms e_454 is a consequence of e_416. e_25 is a consequence of e_381. Substitution of q9 found in e_480 : q9=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 9 terms The list of inequalities got extended by: An expression with 5 terms e_59 is a consequence of e_416. e_386 is a consequence of e_416. e_367 is a consequence of e_416. e_147 is a consequence of e_204. Substitution of q11 found in e_243 : q11=0 Step 542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 4 terms e_356 is a consequence of e_392. Substitution of q19 found in e_204 : q19=0 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 8 terms The list of inequalities got extended by: g0003*q20 + g0011*p8 + g0012*p7 e_357 is a consequence of e_390. Substitution of q10 found in e_416 : q10=0 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 7 terms e_93 is a consequence of e_392. Substitution of q21 found in e_381 : q21=0 Step 545: Hot list 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 q12 found in e_392 : q12=0 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 7 terms e_433 is a consequence of e_395. e_382 is a consequence of e_447.e_403,e_39,e_241,e_395 are consequences of e_100 Substitution of q13 by an expression in q2 found in e_54 : q13=q2 Step 547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 6 terms e_318 is a consequence of e_157. Substitution of q2 found in e_100 : q2=0 Step 548: Hot list 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_448 is a consequence of e_387. Substitution of q15 by an expression in q4 found in e_132 : q15=q4 Step 549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q7 by an expression in q17, q14, p11, p5, p12 found in e_18 : 8 factors in 3 terms Step 550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 8 terms e_445 is a consequence of e_193. Substitution of q17 by an expression in q6, p11, p12 found in e_420 : 7 factors in 3 terms 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 9 terms e_447 is a consequence of e_60. e_194 is a consequence of e_232. Substitution of q3 by an expression in q14, p3, p1, p12 found in e_237 : 7 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 10 terms Substitution of q5 by an expression in q14, q4, p3, p12 found in e_189 : 7 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 12 terms Substitution of q8 by an expression in q18, q16, p6, p4, p12 found in e_429 : 13 factors in 4 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_41 is a consequence of e_60. 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 e_80 is a consequence of e_60. Step 561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_234 is a consequence of e_227 Step 567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_54 is a consequence of e_380. 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 e_318 is a consequence of e_387. 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 2 terms e_100 is a consequence of e_157. 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 : *** Garbage collection starting *** GC 960 2-Oct-2003 17:57:26, 40 ms (0%), 1076534 occupied, 23923417 free shortening by 1 term Step 577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms 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 2 terms Step 582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 2 terms Step 584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 2 terms 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 3 terms Step 587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 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 1 term Step 589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_59 is a consequence of e_157. Step 603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_386 is a consequence of e_157. Step 604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_204 is a consequence of e_124. Step 608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_103 is a consequence of e_232. Step 609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_110 is a consequence of e_312. Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_360 is a consequence of e_26 Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 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 : --- Algebraic length reduction of equations : shortening by 1 term Step 620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 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 : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 961 2-Oct-2003 17:57:29, 50 ms (0%), 1091880 occupied, 23908070 free Eliminate q14 from e_227 and e_275. e_275: 2 0=30*p12*p9*q6 - p3 *q14 is replaced by e_185: 0=p9*q6 Step 622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_195 is a consequence of e_227. Step 623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_364 is a consequence of e_227. Step 624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_130 and e_459. e_459: 5 terms, 15 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q6,p11 ,p11,p5,p12 ,p12) is replaced by e_205: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q14,q6,p11 ,p11,p5,p12 ,p12) Step 625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_456. e_456: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 2 (q14,q6,p11 ,p11,p5 ,p5,p12 ,p12) is replaced by e_477: 0=q6*p5*p11*(p11 - 2*p12) Step 626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_161. e_161: (#) 4 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q14,q6,p11 ,p11,p6,p5,p12 ,p12) is replaced by e_234: (#) 3 terms, 8 factors, with derivatives of functions of all variables: 2 2 (q6,p11 ,p11,p6,p12 ,p12) Step 627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_461. e_461: 6 terms, 24 factors, with derivatives of functions of all variables: 3 2 2 (q18,q14,q6,p11 ,p11 ,p11,p5,p3,p12 ,p12) is replaced by e_394: 5 terms, 20 factors, with derivatives of functions of all variables: 3 2 3 2 (q18,q6,p11 ,p11 ,p11,p3,p12 ,p12 ,p12) *** Garbage collection starting *** GC 962 2-Oct-2003 17:57:33, 40 ms (0%), 1073621 occupied, 23926330 free Step 628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_462. e_462: 8 terms, 32 factors, with derivatives of functions of all variables: 2 3 2 (q14,q6,p11 ,p11,p5,p4,p2,p12 ,p12 ,p12) is replaced by e_443: (#) 7 terms, 22 factors, with derivatives of functions of all variables: 2 3 2 (q6,p11 ,p11,p4,p2,p12 ,p12 ,p12) Step 629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_104 and e_356. e_356: 8 terms, 32 factors, with derivatives of functions of all variables: 3 2 2 (q18,q14,q6,p11 ,p11 ,p11,p5,p4,p2,p1,p12 ,p12) is replaced by e_438: 6 terms, 24 factors, with derivatives of functions of all variables: 3 2 2 (q18,q6,p11 ,p11 ,p11,p4,p2,p1,p12 ,p12) Step 630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_468. e_468: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q18,q14,q6,p11 ,p11,p5,p3,p2,p1,p12 ,p12) is replaced by e_249: 8 terms, 32 factors, with derivatives of functions of all variables: 2 3 2 (q18,q6,p11 ,p11,p3,p2,p1,p12 ,p12 ,p12) Step 631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_464. e_464: 7 terms, 28 factors, with derivatives of functions of all variables: 3 2 2 (q18,q14,q6,q4,p11 ,p11 ,p11,p6,p5,p3,p1,p12 ,p12) is replaced by e_200: 6 terms, 24 factors, with derivatives of functions of all variables: 3 2 2 (q18,q6,q4,p11 ,p11 ,p11,p6,p3,p1,p12 ,p12) Step 632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 963 2-Oct-2003 17:57:38, 40 ms (0%), 1078861 occupied, 23921088 free Eliminate q14 from e_205 and e_496. e_496: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q18,q14,q6,q4,p11 ,p11,p6,p5,p4,p3,p2,p12 ,p12) is replaced by e_365: 9 terms, 36 factors, with derivatives of functions of all variables: 2 3 2 (q18,q6,q4,p11 ,p11,p6,p4,p3,p2,p12 ,p12 ,p12) Step 633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_205 and e_469. e_469: 12 terms, 48 factors, with derivatives of functions of all variables: 2 2 (q18,q14,q6,q4,p11 ,p11,p6,p5,p4,p3,p2,p12 ,p12) is replaced by e_382: 11 terms, 44 factors, with derivatives of functions of all variables: 2 3 2 (q18,q6,q4,p11 ,p11,p6,p4,p3,p2,p12 ,p12 ,p12) Step 634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q18 from e_394 and e_382. e_382: 11 terms, 44 factors, with derivatives of functions of all variables: 2 3 2 (q18,q6,q4,p11 ,p11,p6,p4,p3,p2,p12 ,p12 ,p12) is replaced by e_476: 11 terms, 44 factors, with derivatives of functions of all variables: 3 2 3 2 (q6,q4,p11 ,p11 ,p11,p6,p4,p2,p12 ,p12 ,p12) Step 635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_338 we get the alternative equations : 0=p11 0=q4 New level : 1.1.1.1.1.1.2.1. CRACK is now called with the new equation e_516 : 0=p11 e_477 is a consequence of e_516 Step 636: 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 10 terms e_309,e_483,e_485,e_284,e_380,e_387,e_233,e_235,e_258,e_308 are consequences of e_237 e_299 is a consequence of e_479 Substitution of p11 found in e_516 : p11=0 Step 637: Hot list 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 8 terms e_473 is a consequence of e_189. e_475 is a consequence of e_59. Substitution of q4 found in e_237 : q4=0 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 5 terms The list of inequalities got extended by: An expression with 8 terms e_479 is a consequence of e_25 e_398 is a consequence of e_25. e_398 is a consequence of e_277. e_490 is a consequence of e_25. e_490 is a consequence of e_219. e_163 is a consequence of e_25. e_163 is a consequence of e_124. e_41 is a consequence of e_25. e_41 is a consequence of e_257. e_389 is a consequence of e_25. Substitution of q14 by an expression in q16, p2, p12 found in e_164 : 2*p2*q16 q14=---------- p12 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 5 terms The list of inequalities got extended by: An expression with 8 terms e_59 is a consequence of e_25. e_59 is a consequence of e_277. e_255 is a consequence of e_25. e_255 is a consequence of e_26. e_189 is a consequence of e_25. e_189 is a consequence of e_219. e_480 is a consequence of e_25. e_391 is a consequence of e_25. e_391 is a consequence of e_124. e_395 is a consequence of e_25. e_395 is a consequence of e_257. e_195 is a consequence of e_25. e_359 is a consequence of e_25. e_487 is a consequence of e_25. e_367 is a consequence of e_25. Substitution of q6 by an expression in q16, p5, p2, p12 found in e_147 : 2*p2*p5*q16 q6=------------- 2 p12 Step 640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_458 is a consequence of e_392 Step 642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_54 is a consequence of e_241. e_54 is a consequence of e_25. Step 643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_100 is a consequence of e_241. e_100 is a consequence of e_25. Step 646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_451 is a consequence of e_241. e_451 is a consequence of e_25. Step 647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_448 is a consequence of e_454. Step 648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 964 2-Oct-2003 17:57:43, 40 ms (0%), 1073547 occupied, 23926403 free factorizing e_311 we get the alternative equations : 0=q20 0=p2 New level : 1.1.1.1.1.1.2.1.1. CRACK is now called with the new equation e_351 : 0=q20 e_58,e_134,e_290,e_13,e_73,e_129,e_95,e_375,e_316 are consequences of e_351 Step 651: Hot list of urgent steps : The list of inequalities got extended by: g0011*p8 + g0012*p7 The list of inequalities got extended by: An expression with 4 terms Substitution of q20 found in e_351 : q20=0 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_25 we get the alternative equations : 0=q16 0=p2 New level : 1.1.1.1.1.1.2.1.1.1. CRACK is now called with the new equation e_224 : 0=q16 e_132,e_257,e_124,e_219,e_277,e_26,e_241,e_494 are consequences of e_224 Step 653: Hot list of urgent steps : The list of inequalities got extended by: p12 - p4 q18 The lexicographical ordering of unknowns is changed because q18 has to be non-zero, giving q18 a low priority. Old ordering: q18,q16,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New ordering: q16,q18,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 Substitution of q16 found in e_224 : q16=0 Step 654: Hot list 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 p5 found in e_344 : p5=0 Step 655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of p6 found in e_11 : p6=0 Step 656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q18,p9,p8,p7,p4,p3,p2,p1,p12 New ordering: q18,p9,p7,p4,p3,p2,p1,p8,p12 The list of inequalities got extended by: g0013*p9 + g0017*p3 + g0018*p1 Substitution of p7 found in e_312 : p7=0 Step 657: 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: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q18,q16,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New ordering: q18,q16,p9,p8,p7,p6,p5,p3,p2,p1,p4,p12 The list of inequalities got extended by: q16 New level : 1.1.1.1.1.1.2.1.1.2. CRACK is now called with the new equation e_224 : 0=p2 e_454,e_405 are consequences of e_224 Step 658: Hot list of urgent steps : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: g0034*q18 + g0036*q16 e_243 is a consequence of e_417 Substitution of p2 found in e_224 : p2=0 Step 659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : 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: q18,q16,p9,p8,p7,p6,p5,p3,p1,p4,p12 New ordering: q18,q16,p9,p7,p6,p5,p3,p1,p8,p4,p12 The list of inequalities got extended by: An expression with 5 terms Substitution of p7 found in e_257 : p7=0 Step 660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p6 The lexicographical ordering of unknowns is changed because p6 has to be non-zero, giving p6 a low priority. Old ordering: q18,q16,p9,p6,p5,p3,p1,p8,p4,p12 New ordering: q18,q16,p9,p5,p3,p1,p6,p8,p4,p12 Substitution of q18 found in e_250 : q18=0 Step 661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of p9 found in e_124 : p9=0 Step 662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0015*p6 + g0016*p5 + g0017*p3 Substitution of p1 found in e_219 : p1=0 Step 663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0015*p6 + g0016*p5 Substitution of p3 found in e_277 : p3=0 Step 664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p6=0 because of the non-vanishing expression: p6 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: q16,p5,p6,p8,p4,p12 New ordering: q16,p6,p8,p4,p12,p5 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: q20 The lexicographical ordering of unknowns is changed because q20 has to be non-zero, giving q20 a low priority. Old ordering: q20,q18,q16,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New ordering: q18,q16,q20,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New level : 1.1.1.1.1.1.2.1.2. CRACK is now called with the new equation e_351 : 0=p2 e_454,e_405,e_25 are consequences of e_351 Step 665: Hot list of urgent steps : The list of inequalities got extended by: g0032*q20 + g0034*q18 + g0036*q16 The list of inequalities got extended by: An expression with 3 terms Substitution of p2 found in e_351 : p2=0 Step 666: Hot list 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 p5 found in e_13 : p5=0 Step 667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of p9 found in e_73 : p9=0 Step 668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p12 - p4 q18 The lexicographical ordering of unknowns is changed because q18 has to be non-zero, giving q18 a low priority. Old ordering: q18,q16,q20,p8,p7,p6,p4,p3,p1,p12 New ordering: q16,q18,q20,p8,p7,p6,p4,p3,p1,p12 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q16,q18,q20,p8,p7,p6,p4,p3,p1,p12 New ordering: q16,q18,q20,p8,p7,p6,p3,p1,p4,p12 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: q16,q18,q20,p8,p7,p6,p3,p1,p4,p12 New ordering: q16,q18,q20,p7,p6,p3,p1,p8,p4,p12 The list of inequalities got extended by: g0014*p7 + g0017*p3 + g0018*p1 Substitution of p6 found in e_129 : p6=0 Step 669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0003*q20 + g0011*p8 The list of inequalities got extended by: g0017*p3 + g0018*p1 e_482 is a consequence of e_318. e_482 is a consequence of e_316.e_277 is a consequence of e_482 Substitution of p7 found in e_312 : p7=0 Step 670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q18=0 because of the non-vanishing expression: q18 The list of inequalities got extended by: g0032*q20 + g0036*q16 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 20 ms The list of inequalities got extended by: p11 The lexicographical ordering of unknowns is changed because p11 has to be non-zero, giving p11 a low priority. Old ordering: q20,q18,q16,q14,q6,q4,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1,p12 New ordering: q20,q18,q16,q14,q6,q4,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New level : 1.1.1.1.1.1.2.2. CRACK is now called with the new equation e_516 : 0=q4 e_309,e_481,e_483,e_485,e_284,e_380,e_387,e_233,e_235,e_258,e_308 are consequences of e_516 Step 671: 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 10 terms Substitution of q4 found in e_516 : q4=0 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 : 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_164 is a consequence of e_227. e_439 is a consequence of e_232. e_95 is a consequence of e_157. e_255 is a consequence of e_60. e_59 is a consequence of e_299. Substitution of q20 by an expression in q14, p8, p11 found in e_396 : p8*q14 q20=-------- p11 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 8 terms e_103 is a consequence of e_227. e_219 is a consequence of e_157. e_124 is a consequence of e_60. e_403 is a consequence of e_232. Substitution of q16 by an expression in q14, p4, p2, p11 found in e_336 : 10 factors in 4 terms Step 674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_357 is a consequence of e_232. Step 675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_452 is a consequence of e_232. 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 965 2-Oct-2003 17:57:46, 30 ms (0%), 1009994 occupied, 23989956 free --- Factorization to subcases leading to substitutions : factorizing e_342 we get the alternative equations : 0=q6 0=p8 New level : 1.1.1.1.1.1.2.2.1. CRACK is now called with the new equation e_39 : 0=q6 e_479,e_443,e_271,e_234,e_25,e_477,e_96,e_425,e_237,e_407,e_193,e_185 are consequences of e_39 Step 678: 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 6 terms e_130,e_299 are consequences of e_390 e_318 is a consequence of e_392. e_433 is a consequence of e_67. Substitution of q6 found in e_39 : q6=0 Step 679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_108 is a consequence of e_392. 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 2 terms Step 684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : --- Factorization to subcases leading to substitutions : factorizing e_250 we get the alternative equations : 0=q18 0=p8 New level : 1.1.1.1.1.1.2.2.1.1. CRACK is now called with the new equation e_48 : 0=q18 e_384,e_34,e_495,e_21,e_54,e_100,e_344,e_11,e_312,e_440,e_392,e_67 are consequences of e_48 Step 687: Hot list of urgent steps : The list of inequalities got extended by: An expression with 7 terms q14 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: q18,q14,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New ordering: q18,q14,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11,p12 The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q18,q14,p9,p8,p7,p6,p5,p4,p3,p1,p2,p11,p12 New ordering: q18,q14,p9,p8,p7,p6,p5,p3,p1,p4,p2,p11,p12 The list of inequalities got extended by: An expression with 5 terms e_215,e_405 are consequences of e_2 Substitution of q18 found in e_48 : q18=0 Step 688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p7 The lexicographical ordering of unknowns is changed because p7 has to be non-zero, giving p7 a low priority. Old ordering: q14,p9,p8,p7,p6,p5,p3,p1,p4,p2,p11,p12 New ordering: q14,p9,p8,p6,p5,p3,p1,p7,p4,p2,p11,p12 The list of inequalities got extended by: An expression with 4 terms Substitution of p8 found in e_311 : p8=0 Step 689: 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 Time: 0 ms Time: 0 ms Time: 10 ms 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: q18,q14,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New ordering: q14,q18,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New level : 1.1.1.1.1.1.2.2.1.2. CRACK is now called with the new equation e_48 : 0=p8 e_409,e_386,e_311,e_405 are consequences of e_48 Step 690: 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: q14,q18,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New ordering: q14,q18,p9,p8,p6,p5,p4,p3,p2,p1,p7,p11,p12 The list of inequalities got extended by: An expression with 5 terms Substitution of p8 found in e_48 : p8=0 Step 691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 5 terms Substitution of p5 found in e_344 : p5=0 Step 692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 4 terms Substitution of p6 found in e_11 : p6=0 Step 693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p7=0 because of the non-vanishing expression: p7 The list of inequalities got extended by: g0013*p9 + g0017*p3 + g0018*p1 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: q6 New level : 1.1.1.1.1.1.2.2.2. CRACK is now called with the new equation e_39 : 0=p8 e_487,e_386,e_299,e_311,e_405,e_250 are consequences of e_39 Step 694: 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: q18,q14,q6,p9,p8,p7,p6,p5,p4,p3,p2,p1,p11,p12 New ordering: q18,q14,q6,p9,p8,p6,p5,p4,p3,p2,p1,p7,p11,p12 The list of inequalities got extended by: An expression with 7 terms Substitution of p8 found in e_39 : p8=0 Step 695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 6 terms e_67 is a consequence of e_232.e_130 is a consequence of e_67 e_96,e_425 are consequences of e_100 e_448 is a consequence of e_232.e_458 is a consequence of e_448 e_328 is a consequence of e_100. e_290 is a consequence of e_100. Substitution of q18 found in e_312 : q18=0 Step 696: Hot list 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: p11 - 2*p12 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: q14,q6,p9,p6,p5,p4,p3,p2,p1,p7,p11,p12 New ordering: q14,q6,p9,p6,p5,p4,p3,p1,p2,p7,p11,p12 e_239 is a consequence of e_100. Substitution of q14 found in e_232 : q14=0 Step 697: Hot list 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 p5 found in e_477 : p5=0 Step 698: Hot list 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_25 is a consequence of e_155 Substitution of p3 found in e_237 : p3=0 Step 699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p7=0 because of the non-vanishing expression: p7 The list of inequalities got extended by: g0013*p9 + g0015*p6 + g0018*p1 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: 90 ms The list of inequalities got extended by: p16 The lexicographical ordering of unknowns is changed because p16 has to be non-zero, giving p16 a low priority. Old ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p16,p12,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1 New ordering: q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4, q3,q2,p12,p11,p9,p8,p7,p6,p5,p4,p3,p2,p1,p16 New level : 1.1.1.1.1.2. CRACK is now called with the new equation e_454 : 0=q9 e_48,e_277,e_417,e_338,e_179,e_418,e_199,e_2,e_272 are consequences of e_454 *** Garbage collection starting *** GC 966 2-Oct-2003 17:57:50, 30 ms (0%), 1084050 occupied, 23915902 free Step 700: 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 10 terms e_60 is a consequence of e_224. Substitution of q9 found in e_454 : q9=0 Step 701: Hot list 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 9 terms e_96 is a consequence of e_224. e_61 is a consequence of e_224. e_336 is a consequence of e_224. e_376 is a consequence of e_238. Substitution of q11 found in e_39 : q11=0 Step 702: Hot list 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 Substitution of q19 found in e_238 : q19=0 Step 703: Hot list 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: g0003*q20 + g0011*p8 + g0012*p7 e_42 is a consequence of e_192. Substitution of q10 found in e_224 : q10=0 Step 704: Hot list 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_302 is a consequence of e_409. e_448 is a consequence of e_425. Substitution of q17 by an expression in q6 found in e_423 : q17=q6 Step 705: Hot list 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_213 is a consequence of e_237. Substitution of q13 by an expression in q2 found in e_425 : q13=q2 Step 706: Hot list 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_145 is a consequence of e_342. e_103 is a consequence of e_409. Substitution of q7 by an expression in q6 found in e_436 : q7= - 6*q6 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 : The list of inequalities got extended by: An expression with 8 terms e_234 is a consequence of e_189. e_233 is a consequence of e_193. e_167 is a consequence of e_367. Substitution of q21 by an expression in q12 found in e_9 : q21=q12 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 : The list of inequalities got extended by: An expression with 9 terms e_431 is a consequence of e_220. Substitution of q15 by an expression in q4, q2 found in e_435 : q15=4*q2 + q4 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 : The list of inequalities got extended by: An expression with 8 terms e_382 is a consequence of e_232. e_26 is a consequence of e_127. Substitution of q3 by an expression in q14, p9, p16 found in e_30 : p9*q14 q3=-------- p16 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 : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 8 terms e_409 is a consequence of e_237. e_403 is a consequence of e_241. Substitution of q6 by an expression in q2, p12, p16 found in e_220 : 1 - ---*p12*q2 4 q6=--------------- p16 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q2 by an expression in q14, q12, p11, p9, p16 found in e_227 : 8 factors in 3 terms Step 712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 14 terms Substitution of q18 by an expression in q14, q8, p11, p2, p16 found in e_127 : 9 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q8 by an expression in q16, q14, p12, p11, p2, p16 found in e_63 : 14 factors in 4 terms Step 714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 15 terms Substitution of q5 by an expression in q16, q12, q4, p12, p9, p16 found in e_366 : 12 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 20 terms *** Garbage collection starting *** GC 967 2-Oct-2003 17:57:53, 50 ms (0%), 1125730 occupied, 23874217 free Substitution of q4 by an expression in q16, q14, q12, p9, p4, p2, p16 found in e_15 : 14 factors in 5 terms Step 716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_204 is a consequence of e_232. Step 717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_284 is a consequence of e_257. Step 721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_164 is a consequence of e_257. Step 722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_63 is a consequence of e_257. Step 723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_265 is a consequence of e_257. Step 724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_409 is a consequence of e_257. Step 725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_403 is a consequence of e_215. Step 726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 968 2-Oct-2003 17:57:56, 50 ms (0%), 1150569 occupied, 23849380 free Eliminate q14 from e_215 and e_331. e_331: 0=(33*q14 + 28*q16)*p9*p8 is replaced by e_60: 0=p8*p9*q16 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 : --- Length reducing decoupling steps : Eliminate q16 from e_60 and e_220. e_220: 0=(11*q14 + 10*q16)*p9*p8 is replaced by e_282: 0=p8*p9*q14 e_282 is a consequence of e_215. 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 q16 from e_308 and e_145. e_308: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q16,q14,p12,p11,p6,p2) is replaced by e_242: 0=q14*p6*(p11 - p2) 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 q16 from e_302 and e_436. e_302: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q16,q14,p12,p11,p8,p2) is replaced by e_408: 0=q14*p8*(p11 - p2) 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 : *** Garbage collection starting *** GC 969 2-Oct-2003 17:57:59, 50 ms (0%), 1185110 occupied, 23814813 free Eliminate q16 from e_496 and e_492. e_496: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p9,p4,p2) is replaced by e_100: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) 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 : Eliminate q14 from e_100 and e_492. e_492: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p9,p4,p2) is replaced by e_96: 4 terms, 8 factors, with derivatives of functions of all variables: (q16,q12,p12,p9,p4,p2) 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 q16 from e_96 and e_488. e_488: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p9,p4,p2) is replaced by e_376: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) 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 q14 from e_376 and e_100. e_376: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) is replaced by e_204: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q12,p12,p4,p2) Step 743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_484. e_484: 5 terms, 10 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p9,p4,p2) is replaced by e_255: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) 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 : Eliminate q14 from e_255 and e_100. e_255: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) is replaced by e_284: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q12,p12,p4,p2) 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 q14 from e_365 and e_234. e_234: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p12,p11 ,p11,p9,p2) is replaced by e_164: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q16,q12,p12,p11 ,p11,p9,p2 ,p2) 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 : *** Garbage collection starting *** GC 970 2-Oct-2003 17:58:03, 50 ms (0%), 1130738 occupied, 23869214 free *** Garbage collection starting *** GC 971 2-Oct-2003 17:58:06, 40 ms (0%), 1129176 occupied, 23870776 free Eliminate q16 from e_238 and e_305. e_305: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p9 ,p9,p4,p3,p2,p16) is replaced by e_223: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q14,q12,p9 ,p9,p4,p3,p2,p16) 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 : Eliminate q16 from e_238 and e_533. e_533: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p9 ,p9,p4,p3,p2,p16) is replaced by e_63: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q14,q12,p9 ,p9,p4,p3,p2,p16) 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 q14 from e_63 and e_223. e_63: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q14,q12,p9 ,p9,p4,p3,p2,p16) is replaced by e_180: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q12,p9,p4,p3,p2,p16) 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 972 2-Oct-2003 17:58:09, 50 ms (0%), 1151176 occupied, 23848774 free *** Garbage collection starting *** GC 973 2-Oct-2003 17:58:12, 50 ms (0%), 1171811 occupied, 23828131 free Eliminate q14 from e_365 and e_100. e_100: 4 terms, 8 factors, with derivatives of functions of all variables: (q14,q12,p12,p9,p4,p2) is replaced by e_103: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q12,p12,p11,p4,p2) Step 753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_46. e_46: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q14,q12,p11,p9 ,p9,p1,p16) is replaced by e_451: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q12,p11,p9,p2,p1,p16) 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 q16 from e_96 and e_164. e_164: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q16,q12,p12,p11 ,p11,p9,p2 ,p2) is replaced by e_502: (#) 6 terms, 13 factors, with derivatives of functions of all variables: 2 2 (q12,p12,p11 ,p11,p4,p2 ,p2) 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 : *** Garbage collection starting *** GC 974 2-Oct-2003 17:58:16, 40 ms (0%), 1149518 occupied, 23850431 free *** Garbage collection starting *** GC 975 2-Oct-2003 17:58:19, 50 ms (0%), 1131571 occupied, 23868380 free Eliminate q16 from e_425 and e_107. e_107: 5 terms, 20 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p6,p5,p2,p16) is replaced by e_157: 4 terms, 16 factors, with derivatives of functions of all variables: (q14,q12,p12,p11,p9,p6,p5,p2,p16) 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 : *** Garbage collection starting *** GC 976 2-Oct-2003 17:58:23, 40 ms (0%), 1148107 occupied, 23851839 free Eliminate q14 from e_365 and e_514. e_514: 8 terms, 24 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_112: 7 terms, 21 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) 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 : Eliminate q16 from e_96 and e_112. e_112: 7 terms, 21 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_503: (#) 6 terms, 13 factors, with derivatives of functions of all variables: (q12,p12,p11,p4,p3,p2,p1) Step 758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_513. e_513: 8 terms, 24 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_440: 7 terms, 21 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) Step 759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_440. e_440: 7 terms, 21 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_366: (#) 6 terms, 13 factors, with derivatives of functions of all variables: (q12,p12,p11,p4,p3,p2,p1) Step 760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_512. e_512: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p12,p11 ,p11,p9,p4,p3,p2,p16) is replaced by e_179: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q16,q12,p12,p11 ,p11,p9,p4,p3,p2,p16) Step 761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 977 2-Oct-2003 17:58:26, 50 ms (0%), 1190614 occupied, 23809322 free Eliminate q16 from e_96 and e_515. e_515: 9 terms, 27 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q12,p12 ,p12,p11 ,p11,p9,p4,p3,p2,p16) is replaced by e_509: 8 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q14,q12,p12 ,p12,p11 ,p11,p9,p4,p3,p2,p16) 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 : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_511. e_511: 10 terms, 30 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_485: 9 terms, 27 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_485. e_485: 9 terms, 27 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_486: (#) 8 terms, 17 factors, with derivatives of functions of all variables: (q12,p12,p11,p4,p3,p2,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 978 2-Oct-2003 17:58:29, 50 ms (0%), 1148585 occupied, 23851362 free Eliminate q16 from e_96 and e_476. e_476: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q12,p12,p11 ,p11,p9,p4,p3,p2 ,p2,p16) is replaced by e_487: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q14,q12,p12,p11 ,p11,p9,p4,p3,p2 ,p2,p16) 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 : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_516. e_516: 11 terms, 33 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_507: 9 terms, 27 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_507. e_507: 9 terms, 27 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p4,p3,p2,p1) is replaced by e_489: (#) 8 terms, 17 factors, with derivatives of functions of all variables: (q12,p12,p11,p4,p3,p2,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 979 2-Oct-2003 17:58:33, 50 ms (0%), 1129749 occupied, 23870203 free Eliminate q16 from e_96 and e_517. e_517: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p12,p11,p9,p4,p2 ,p2,p1,p16) is replaced by e_490: 11 terms, 33 factors, with derivatives of functions of all variables: 2 (q14,q12,p12,p11,p9,p4,p2 ,p2,p1,p16) Step 768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_524. e_524: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q16,q14,q12,p12,p11,p9,p6,p4,p2 ,p2,p16) is replaced by e_491: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q16,q12,p12,p11 ,p11,p9,p6,p4,p2 ,p2,p16) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_491. e_491: 10 terms, 30 factors, with derivatives of functions of all variables: 2 2 (q16,q12,p12,p11 ,p11,p9,p6,p4,p2 ,p2,p16) is replaced by e_506: (#) 8 terms, 17 factors, with derivatives of functions of all variables: 2 2 (q12,p12,p11 ,p11,p6,p4,p2 ,p2,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 980 2-Oct-2003 17:58:36, 50 ms (0%), 1149702 occupied, 23850249 free Eliminate q14 from e_365 and e_525. e_525: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q12,p12 ,p12,p11,p9,p4 ,p4,p2,p1,p16) is replaced by e_493: 13 terms, 39 factors, with derivatives of functions of all variables: 2 2 2 (q16,q12,p12 ,p12,p11 ,p11,p9,p4 ,p4,p2,p1,p16) 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 : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_522. e_522: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q12,p12 ,p12,p11,p9,p6,p4 ,p4,p2,p16) is replaced by e_494: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 2 2 (q16,q12,p12 ,p12,p11 ,p11,p9,p6,p4 ,p4,p2 ,p2,p16) 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 : --- Length reducing decoupling steps : Eliminate q16 from e_96 and e_494. e_494: 15 terms, 45 factors, with derivatives of functions of all variables: 2 2 2 2 (q16,q12,p12 ,p12,p11 ,p11,p9,p6,p4 ,p4,p2 ,p2,p16) is replaced by e_495: (#) 11 terms, 23 factors, with derivatives of functions of all variables: 2 2 2 2 (q12,p12 ,p12,p11 ,p11,p6,p4 ,p4,p2 ,p2,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 981 2-Oct-2003 17:58:40, 60 ms (0%), 1130287 occupied, 23869664 free Eliminate q14 from e_365 and e_338. e_338: 6 terms, 24 factors, with derivatives of functions of all variables: (q16,q14,q12,p12,p11,p9,p5,p4,p3,p2,p16) is replaced by e_505: 6 terms, 24 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p5,p4,p3,p2,p16) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 982 2-Oct-2003 17:58:43, 50 ms (0%), 1143762 occupied, 23856187 free Eliminate q16 from e_96 and e_505. e_505: 6 terms, 24 factors, with derivatives of functions of all variables: (q16,q12,p12,p11,p9,p5,p4,p3,p2,p16) is replaced by e_497: (#) 6 terms, 19 factors, with derivatives of functions of all variables: (q12,p12,p11,p5,p4,p3,p2,p16) 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 : --- Length reducing decoupling steps : Eliminate q14 from e_365 and e_277. e_277: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q16,q14,q12,p12 ,p11,p9,p5,p16 ) is replaced by e_498: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q16,q12,p12 ,p11,p5,p2,p16 ) ***** PREMATURE STOP DUE TO TIME CONSTRAINT! Time: 54420 ms plus GC time: 810 ms 4: Time: 0 ms 5: 5: n Time: 0 ms 6: Quitting