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: "bu603-2-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 N1f0b2t7s11w45. ####### The system: b(1) =Db(2)*Db(1)*p9 + b(2) *p10 + b(2) *b(1)*p7 + b(1) *b(2)*p8 t 3x x x 3 b(2) =b(1) *p4 + Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *p6 + b(1) *b(1)*p1 t x x 4x 2x 2 + b(1) *p3 x It's symmetry: 3 b(1) =b(2) *q24 + Db(2)*Db(1)*b(1)*q17 + Db(2) *Db(1)*q25 + Db(2) *Db(1) *q27 s 2x x x + Db(1) *Db(2)*q26 + b(2) *q28 + b(2) *b(1)*q18 + b(2) *b(1) *q20 2x 5x 3x 2x x 2 + b(2) *b(1) *q22 + b(2) *b(1) *q21 + b(1) *b(2)*q19 + b(1) *b(2)*b(1)*q23 x x 2x 3x x 4 b(2) =b(1) *q12 + Db(2)*Db(1)*b(2)*q1 + Db(2) *Db(2)*q14 + Db(1) *Db(1)*q13 s 2x 3x + Db(1) *Db(1) *q15 + Db(1) *Db(1)*b(1)*q2 + b(2) *b(2)*q4 + b(2) *b(2) *q6 2x x x 3x 2x x + b(2) *b(2)*b(1)*q9 + b(1) *q16 + b(1) *b(1)*q3 + b(1) *b(1) *q5 x 6x 4x 3x x 2 2 2 2 + b(1) *q8 + b(1) *b(1) *q7 + b(1) *b(1)*q11 + b(1) *b(2) *q10 2x 2x x x {q27,q26,q25,q17,q15,q14,q13,q2,q1,p9,p5} {p6,p5,p4,p3,p1} {q16,q15,q14,q13,q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1} {q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17} {p10,p9,p8,p7} Generating all terms of total degree 2 Pairing now degree 1 terms from the system with degree 1 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=q28*b(2) 5x df(b(2),s)=q16*b(1) 6x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=Db(2) *Db(1)*q25 + Db(2) *Db(1) *q27 + Db(1) *Db(2)*q26 2x x x 2x + b(2) *b(1)*q18 + b(2) *b(1) *q20 + b(2) *b(1) *q21 3x 2x x x 2x + b(1) *b(2)*q19 3x df(b(2),s)=Db(2) *Db(2)*q14 + Db(1) *Db(1)*q13 + Db(1) *Db(1) *q15 2x 3x 2x x + b(2) *b(2)*q4 + b(2) *b(2) *q6 + b(1) *b(1)*q3 3x 2x x 4x 2 + b(1) *b(1) *q5 + b(1) *q8 3x x 2x Pairing now degree 2 terms from the system with degree 1 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=q28*b(2) 5x df(b(2),s)=q16*b(1) 6x Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x 3 2 df(b(1),s)=b(2) *q24 + Db(2)*Db(1)*b(1)*q17 + b(2) *b(1) *q22 x + b(1) *b(2)*b(1)*q23 x df(b(2),s)=Db(2)*Db(1)*b(2)*q1 + Db(1) *Db(1)*b(1)*q2 + b(2) *b(2)*b(1)*q9 x x 2 2 2 + b(1) *b(1) *q7 + b(1) *b(1)*q11 + b(1) *b(2) *q10 2x 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)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=Db(2) *Db(1)*q25 + Db(2) *Db(1) *q27 + Db(1) *Db(2)*q26 2x x x 2x + b(2) *b(1)*q18 + b(2) *b(1) *q20 + b(2) *b(1) *q21 3x 2x x x 2x + b(1) *b(2)*q19 3x df(b(2),s)=Db(2) *Db(2)*q14 + Db(1) *Db(1)*q13 + Db(1) *Db(1) *q15 2x 3x 2x x + b(2) *b(2)*q4 + b(2) *b(2) *q6 + b(1) *b(1)*q3 3x 2x x 4x 2 + b(1) *b(1) *q5 + b(1) *q8 3x x 2x *** Garbage collection starting *** GC 1 2-Oct-2003 10:45:56, 20 ms (0%), 935415 occupied, 24064537 free Pairing now degree 3 terms from the system with degree 1 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=q28*b(2) 5x df(b(2),s)=q16*b(1) 6x Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=0 4 df(b(2),s)=b(1) *q12 Pairing now degree 2 terms from the system with degree 3 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x 3 2 df(b(1),s)=b(2) *q24 + Db(2)*Db(1)*b(1)*q17 + b(2) *b(1) *q22 x + b(1) *b(2)*b(1)*q23 x df(b(2),s)=Db(2)*Db(1)*b(2)*q1 + Db(1) *Db(1)*b(1)*q2 + b(2) *b(2)*b(1)*q9 x x 2 2 2 + b(1) *b(1) *q7 + b(1) *b(1)*q11 + b(1) *b(2) *q10 2x x x Pairing now degree 3 terms from the system with degree 2 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=Db(2) *Db(1)*q25 + Db(2) *Db(1) *q27 + Db(1) *Db(2)*q26 2x x x 2x + b(2) *b(1)*q18 + b(2) *b(1) *q20 + b(2) *b(1) *q21 3x 2x x x 2x + b(1) *b(2)*q19 3x df(b(2),s)=Db(2) *Db(2)*q14 + Db(1) *Db(1)*q13 + Db(1) *Db(1) *q15 2x 3x 2x x + b(2) *b(2)*q4 + b(2) *b(2) *q6 + b(1) *b(1)*q3 3x 2x x 4x 2 + b(1) *b(1) *q5 + b(1) *q8 3x x 2x *** Garbage collection starting *** GC 2 2-Oct-2003 10:46:00, 30 ms (0%), 945855 occupied, 24054097 free Generating all terms of total degree 6 Pairing now degree 2 terms from the system with degree 4 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=0 4 df(b(2),s)=b(1) *q12 Pairing now degree 3 terms from the system with degree 3 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 3 2 df(b(1),s)=b(2) *q24 + Db(2)*Db(1)*b(1)*q17 + b(2) *b(1) *q22 x + b(1) *b(2)*b(1)*q23 x df(b(2),s)=Db(2)*Db(1)*b(2)*q1 + Db(1) *Db(1)*b(1)*q2 + b(2) *b(2)*b(1)*q9 x x 2 2 2 + b(1) *b(1) *q7 + b(1) *b(1)*q11 + b(1) *b(2) *q10 2x x x Generating all terms of total degree 7 Pairing now degree 3 terms from the system with degree 4 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=0 4 df(b(2),s)=b(1) *q12 Now crack is called. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is CRACK - a solver for overdetermined partial differential equations Enter `h' for help. The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 4 terms *** Garbage collection starting *** GC 3 2-Oct-2003 10:46:09, 30 ms (0%), 972054 occupied, 24027898 free *** Garbage collection starting *** GC 4 2-Oct-2003 10:46:12, 20 ms (0%), 975908 occupied, 24024044 free *** Garbage collection starting *** GC 5 2-Oct-2003 10:46:16, 30 ms (0%), 983940 occupied, 24016012 free *** Garbage collection starting *** GC 6 2-Oct-2003 10:46:20, 40 ms (0%), 1021808 occupied, 23978144 free *** Garbage collection starting *** GC 7 2-Oct-2003 10:46:24, 30 ms (0%), 966548 occupied, 24033404 free e_12 is a consequence of e_11. 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 b(2) b(1)*b(1) x Separation of e_3 yields (e_14 e_13) Step 2: separation w.r.t. x linear independent expressions : 3 b(2) b(1)*Db(1)*Db(2) 2 b(1) *b(2) x b(1)*b(2)*b(1) x Separation of e_4 yields (e_18 e_17 e_16 e_15) e_18 is a consequence of e_14. Step 3: separation w.r.t. x linear independent expressions : Db(2)*Db(2) 5x Db(2) *Db(2) x 4x Db(2) *Db(2) 2x 3x Db(1)*Db(1) 6x Db(1) *Db(1) x 5x Db(1) *Db(1) 2x 4x b(2)*b(2) 6x b(2) *b(2) x 5x b(2) *b(2) 2x 4x 2 b(2) 3x b(1)*b(1) 7x b(1) *b(1) x 6x b(1) *b(1) 2x 5x b(1) *b(1) 3x 4x Separation of e_9 yields (e_31 e_30 e_32 e_29 e_28 e_27 e_26 e_24 e_23 e_22 e_25 e_21 e_20 e_19) Step 4: separation w.r.t. x linear independent expressions : b(1)*b(2) *Db(1)*Db(2) x b(2)*b(1) *Db(1)*Db(2) x 2 b(1) *Db(2)*Db(2) x b(1)*b(2)*Db(1)*Db(2) x 2 b(1) *Db(1)*Db(1) 2x b(1)*b(2)*Db(2)*Db(1) x 2 b(2) *Db(1)*Db(1) x b(1)*b(1) *Db(1)*Db(1) x x 2 b(1) *b(2)*b(2) 2x 2 2 b(1) *b(2) x 3 b(2) *b(2) x b(1)*b(2)*b(1) *b(2) x x 3 b(1) *b(1) 3x 2 b(1)*b(2) *b(1) 2x 2 b(1) *b(1) *b(1) x 2x 3 b(1)*b(1) x 2 2 b(2) *b(1) x *** Garbage collection starting *** GC 8 2-Oct-2003 10:46:26, 30 ms (0%), 975746 occupied, 24024205 free Separation of e_5 yields (e_44 e_47 e_43 e_39 e_36 e_33 e_48 e_40 e_49 e_41 e_46 e_38 e_37 e_45 e_34 e_42 e_35) Step 5: 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 Separation of e_10 yields (e_59 e_58 e_64 e_57 e_50 e_63 e_62 e_61 e_60 e_56 e_52 e_51 e_55 e_54 e_53) e_64 is a consequence of e_29. e_57 is a consequence of e_22. Step 6: 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 *** Garbage collection starting *** GC 9 2-Oct-2003 10:46:28, 20 ms (0%), 980494 occupied, 24019458 free Separation of e_6 yields (e_85 e_84 e_74 e_72 e_67 e_89 e_81 e_79 e_82 e_80 e_75 e_65 e_87 e_86 e_76 e_69 e_68 e_88 e_78 e_77 e_73 e_71 e_83 e_70 e_66) e_85 is a consequence of e_44. e_84 is a consequence of e_43. e_74 is a consequence of e_36. Step 7: separation w.r.t. x linear independent expressions : b(2) *Db(1)*Db(2) 3x b(1)*Db(2)*Db(2) 3x b(2)*Db(1)*Db(2) 3x b(1) *Db(2)*Db(2) x 2x b(2) *Db(1)*Db(2) x 2x b(1)*Db(2) *Db(2) x 2x b(2)*Db(1) *Db(2) x 2x b(1) *Db(2)*Db(2) 2x x b(2) *Db(1)*Db(2) 2x x b(2)*Db(1) *Db(2) 2x x b(2) *Db(1) *Db(2) x x x b(1)*Db(1)*Db(1) 4x b(2)*Db(2)*Db(1) 3x b(1) *Db(1)*Db(1) x 3x b(1)*Db(1) *Db(1) x 3x b(2) *Db(2)*Db(1) x 2x b(1) *Db(1)*Db(1) 2x 2x b(1) *Db(1) *Db(1) x x 2x b(2) *Db(2)*Db(1) 2x x b(1) *Db(1)*Db(1) 3x x b(1)*b(2)*b(2) 4x b(1)*b(2) *b(2) x 3x b(2)*b(1) *b(2) x 3x 2 b(1)*b(2) 2x b(1) *b(2) *b(2) x x 2x b(2)*b(1) *b(2) 2x 2x 2 b(1) *b(2) 2x x b(2)*b(1) *b(2) 3x x 2 b(1) *b(1) 5x 2 b(2) *b(1) 4x b(1)*b(1) *b(1) x 4x b(1)*b(1) *b(1) 2x 3x 2 b(1) *b(1) x 3x 2 b(1) *b(1) x 2x *** Garbage collection starting *** GC 10 2-Oct-2003 10:46:32, 30 ms (0%), 984756 occupied, 24015196 free Separation of e_7 yields (e_111 e_118 e_94 e_108 e_122 e_117 e_114 e_100 e_97 e_96 e_121 e_113 e_109 e_95 e_119 e_116 e_115 e_112 e_105 e_103 e_102 e_98 e_120 e_99 e_91 e_123 e_110 e_106 e_101 e_90 e_107 e_104 e_92 e_93) Step 8: 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(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 11 2-Oct-2003 10:46:37, 30 ms (0%), 1042290 occupied, 23957662 free *** Garbage collection starting *** GC 12 2-Oct-2003 10:46:41, 40 ms (0%), 1001980 occupied, 23997972 free Separation of e_8 yields (e_160 e_157 e_138 e_133 e_132 e_136 e_149 e_152 e_148 e_139 e_161 e_145 e_126 e_158 e_155 e_151 e_142 e_150 e_147 e_146 e_144 e_134 e_127 e_124 e_162 e_159 e_153 e_141 e_137 e_131 e_129 e_128 e_125 e_143 e_135 e_154 e_140 e_130 e_156) e_160 is a consequence of e_111. e_138 is a consequence of e_94. e_139 is a consequence of e_95. e_161 is a consequence of e_112. 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 : 141 total no of terms : 817 total no of factors : 1628 141 equations in 0 variables: e_156(12),e_154(11),e_140(11),e_130(11),e_35(10),e_66(10),e_93(10), e_143(10),e_135(10),e_42(9),e_83(9),e_70(9),e_107(9),e_104(9),e_92(9), e_162(9),e_159(9),e_153(9),e_141(9),e_137(9),e_131(9),e_129(9), e_128(9),e_125(9),e_53(8),e_88(8),e_78(8),e_77(8),e_73(8),e_71(8), e_123(8),e_110(8),e_106(8),e_101(8),e_90(8),e_150(8),e_147(8),e_146(8), e_144(8),e_134(8),e_127(8),e_124(8),e_55(7),e_54(7),e_120(7),e_99(7), e_91(7),e_158(7),e_155(7),e_151(7),e_142(7),e_21(6),e_20(6),e_19(6), e_45(6),e_34(6),e_56(6),e_52(6),e_51(6),e_87(6),e_86(6),e_76(6), e_69(6),e_68(6),e_119(6),e_116(6),e_115(6),e_112(6),e_105(6),e_103(6), e_102(6),e_98(6),e_145(6),e_126(6),e_15(5),e_25(5),e_46(5),e_38(5), e_37(5),e_63(5),e_62(5),e_61(5),e_60(5),e_82(5),e_80(5),e_75(5), e_65(5),e_121(5),e_113(5),e_109(5),e_95(5),e_152(5),e_148(5),e_13(4), e_16(4),e_29(4),e_28(4),e_27(4),e_26(4),e_24(4),e_23(4),e_22(4), e_49(4),e_41(4),e_50(4),e_89(4),e_81(4),e_79(4),e_122(4),e_117(4), e_114(4),e_100(4),e_97(4),e_96(4),e_149(4),e_17(3),e_32(3),e_48(3), e_40(3),e_59(3),e_58(3),e_67(3),e_108(3),e_136(3),e_11(2),e_47(2), e_43(2),e_39(3#),e_36(2),e_33(2),e_72(2),e_118(3#),e_94(2),e_133(2), e_132(2),e_31(2#),e_30(2#),e_14(1#),e_44(1#),e_111(1#),e_157(1#) 38 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11, q12,q13,q14,q15,q16,q17,q18,q19,q20,q21,q22, q23,q24,q25,q26,q27,q28 old input: w Enter a list of equations, like e2,e5,e35; from: e_157,e_111,e_44,e_14,e_30,e_31,e_132,e_133,e_94,e_118,e_72,e_33,e_36,e_39,e_43, e_47,e_11,e_136,e_108,e_67,e_58,e_59,e_40,e_48,e_32,e_17,e_149,e_96,e_97,e_100, e_114,e_117,e_122,e_79,e_81,e_89,e_50,e_41,e_49,e_22,e_23,e_24,e_26,e_27,e_28, e_29,e_16,e_13,e_148,e_152,e_95,e_109,e_113,e_121,e_65,e_75,e_80,e_82,e_60,e_61, e_62,e_63,e_37,e_38,e_46,e_25,e_15,e_126,e_145,e_98,e_102,e_103,e_105,e_112, e_115,e_116,e_119,e_68,e_69,e_76,e_86,e_87,e_51,e_52,e_56,e_34,e_45,e_19,e_20, e_21,e_142,e_151,e_155,e_158,e_91,e_99,e_120,e_54,e_55,e_124,e_127,e_134,e_144, e_146,e_147,e_150,e_90,e_101,e_106,e_110,e_123,e_71,e_73,e_77,e_78,e_88,e_53, e_125,e_128,e_129,e_131,e_137,e_141,e_153,e_159,e_162,e_92,e_104,e_107,e_70,e_83 ,e_42,e_135,e_143,e_93,e_66,e_35,e_130,e_140,e_154,e_156 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 13 2-Oct-2003 10:46:44, 30 ms (0%), 994898 occupied, 24005054 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 1 term Step 13: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 14: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 15: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 16: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 17: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 18: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 19: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 20: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 21: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 22: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 23: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 24: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 25: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 26: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 27: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 28: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 29: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 30: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 31: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 32: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 34: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 35: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 38: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 14 2-Oct-2003 10:46:47, 30 ms (0%), 994832 occupied, 24005119 free shortening by 1 term Step 40: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 15 2-Oct-2003 10:46:48, 40 ms (0%), 995178 occupied, 24004773 free *** Garbage collection starting *** GC 16 2-Oct-2003 10:46:50, 30 ms (0%), 996530 occupied, 24003421 free *** Garbage collection starting *** GC 17 2-Oct-2003 10:46:51, 30 ms (0%), 997250 occupied, 24002701 free *** Garbage collection starting *** GC 18 2-Oct-2003 10:46:53, 30 ms (0%), 997742 occupied, 24002209 free *** Garbage collection starting *** GC 19 2-Oct-2003 10:46:55, 30 ms (0%), 998004 occupied, 24001947 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_169 and e_48. e_169: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q1,p9,p8,p2) is replaced by e_229: 0=q1*(p2 - p9) 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 20 2-Oct-2003 10:46:57, 30 ms (0%), 995202 occupied, 24004749 free *** Garbage collection starting *** GC 21 2-Oct-2003 10:46:58, 40 ms (0%), 996400 occupied, 24003551 free *** Garbage collection starting *** GC 22 2-Oct-2003 10:47:00, 30 ms (0%), 997256 occupied, 24002695 free *** Garbage collection starting *** GC 23 2-Oct-2003 10:47:02, 30 ms (0%), 997592 occupied, 24002359 free *** Garbage collection starting *** GC 24 2-Oct-2003 10:47:03, 30 ms (1%), 997726 occupied, 24002225 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_163 and e_94. e_94: 0=p10*q10 - 3*p6*q24 is replaced by e_231: 0=(2*q10 - q9)*p10 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 25 2-Oct-2003 10:47:07, 30 ms (0%), 994884 occupied, 24005067 free *** Garbage collection starting *** GC 26 2-Oct-2003 10:47:09, 30 ms (1%), 996610 occupied, 24003341 free *** Garbage collection starting *** GC 27 2-Oct-2003 10:47:11, 40 ms (1%), 997280 occupied, 24002671 free *** Garbage collection starting *** GC 28 2-Oct-2003 10:47:12, 40 ms (1%), 997866 occupied, 24002085 free *** Garbage collection starting *** GC 29 2-Oct-2003 10:47:14, 40 ms (1%), 998370 occupied, 24001581 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_231 and e_96. e_96: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q10,q9,p10,p8,p2) is replaced by e_234: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q9,p10,p8,p2) 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 30 2-Oct-2003 10:47:16, 30 ms (1%), 996696 occupied, 24003255 free *** Garbage collection starting *** GC 31 2-Oct-2003 10:47:17, 30 ms (1%), 998152 occupied, 24001799 free *** Garbage collection starting *** GC 32 2-Oct-2003 10:47:19, 30 ms (1%), 998706 occupied, 24001245 free *** Garbage collection starting *** GC 33 2-Oct-2003 10:47:21, 40 ms (1%), 999404 occupied, 24000547 free shortening by 1 term Step 44: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 34 2-Oct-2003 10:47:23, 30 ms (1%), 995686 occupied, 24004265 free shortening by 1 term Step 45: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 35 2-Oct-2003 10:47:24, 30 ms (1%), 996482 occupied, 24003469 free *** Garbage collection starting *** GC 36 2-Oct-2003 10:47:26, 30 ms (1%), 998140 occupied, 24001811 free shortening by 1 term Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 37 2-Oct-2003 10:47:28, 30 ms (1%), 996148 occupied, 24003803 free shortening by 1 term Step 47: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 48: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 49: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 50: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 38 2-Oct-2003 10:47:30, 40 ms (1%), 995630 occupied, 24004321 free 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 : *** Garbage collection starting *** GC 39 2-Oct-2003 10:47:31, 30 ms (1%), 996366 occupied, 24003585 free *** Garbage collection starting *** GC 40 2-Oct-2003 10:47:33, 30 ms (1%), 999318 occupied, 24000633 free 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 2 terms Step 53: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 54: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 55: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 41 2-Oct-2003 10:47:35, 30 ms (1%), 995404 occupied, 24004547 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 42 2-Oct-2003 10:47:37, 40 ms (1%), 995442 occupied, 24004509 free shortening by 2 terms Step 58: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 43 2-Oct-2003 10:47:38, 40 ms (1%), 996846 occupied, 24003105 free shortening by 2 terms Step 61: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 44 2-Oct-2003 10:47:40, 30 ms (1%), 995150 occupied, 24004801 free shortening by 5 terms Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 66: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : shortening by 1 term Step 68: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 45 2-Oct-2003 10:47:42, 30 ms (1%), 995722 occupied, 24004229 free *** Garbage collection starting *** GC 46 2-Oct-2003 10:47:44, 30 ms (1%), 997864 occupied, 24002087 free *** Garbage collection starting *** GC 47 2-Oct-2003 10:47:46, 30 ms (1%), 998344 occupied, 24001607 free *** Garbage collection starting *** GC 48 2-Oct-2003 10:47:48, 30 ms (1%), 998898 occupied, 24001053 free *** Garbage collection starting *** GC 49 2-Oct-2003 10:47:49, 30 ms (1%), 999160 occupied, 24000791 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_231 and e_97. e_97: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q10,q9,p10,p8,p2) is replaced by e_63: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q9,p10,p8,p2) 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 50 2-Oct-2003 10:47:51, 30 ms (1%), 997454 occupied, 24002497 free *** Garbage collection starting *** GC 51 2-Oct-2003 10:47:53, 40 ms (1%), 998826 occupied, 24001125 free *** Garbage collection starting *** GC 52 2-Oct-2003 10:47:55, 40 ms (1%), 999520 occupied, 24000431 free *** Garbage collection starting *** GC 53 2-Oct-2003 10:47:57, 30 ms (1%), 1000080 occupied, 23999871 free *** Garbage collection starting *** GC 54 2-Oct-2003 10:47:59, 30 ms (1%), 1000320 occupied, 23999631 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q15 from e_237 and e_200. e_200: 0=71*p10*q15 + 39*p5*q28 is replaced by e_194: 0=71*p10*q13 + 16*p5*q28 Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 71: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 72: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 55 2-Oct-2003 10:48:01, 30 ms (1%), 996988 occupied, 24002963 free *** Garbage collection starting *** GC 56 2-Oct-2003 10:48:03, 30 ms (1%), 998726 occupied, 24001225 free *** Garbage collection starting *** GC 57 2-Oct-2003 10:48:05, 30 ms (1%), 999184 occupied, 24000767 free *** Garbage collection starting *** GC 58 2-Oct-2003 10:48:07, 30 ms (1%), 999476 occupied, 24000475 free *** Garbage collection starting *** GC 59 2-Oct-2003 10:48:08, 30 ms (1%), 999662 occupied, 24000289 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_191 and e_197. e_197: 0=371*p5*q28 + 71*p6*q27 is replaced by e_28: 0=(371*q26 + 481*q27)*p6 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 60 2-Oct-2003 10:48:11, 30 ms (1%), 997416 occupied, 24002535 free *** Garbage collection starting *** GC 61 2-Oct-2003 10:48:12, 30 ms (1%), 998782 occupied, 24001169 free *** Garbage collection starting *** GC 62 2-Oct-2003 10:48:14, 30 ms (1%), 999366 occupied, 24000585 free *** Garbage collection starting *** GC 63 2-Oct-2003 10:48:16, 40 ms (1%), 999768 occupied, 24000183 free *** Garbage collection starting *** GC 64 2-Oct-2003 10:48:18, 30 ms (1%), 1000166 occupied, 23999785 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_28 and e_59. e_59: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q26,q16,p9,p6) is replaced by e_210: 0=765*p6*q26 + 962*p9*q16 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 : *** Garbage collection starting *** GC 65 2-Oct-2003 10:48:20, 30 ms (1%), 997730 occupied, 24002221 free *** Garbage collection starting *** GC 66 2-Oct-2003 10:48:22, 30 ms (1%), 998906 occupied, 24001045 free *** Garbage collection starting *** GC 67 2-Oct-2003 10:48:24, 40 ms (1%), 999386 occupied, 24000565 free *** Garbage collection starting *** GC 68 2-Oct-2003 10:48:26, 30 ms (1%), 1000646 occupied, 23999305 free *** Garbage collection starting *** GC 69 2-Oct-2003 10:48:28, 40 ms (1%), 1001342 occupied, 23998609 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_213 and e_210. e_210: 0=765*p6*q26 + 962*p9*q16 is replaced by e_216: 0=(962*q14 - 197*q26)*p6 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 70 2-Oct-2003 10:48:31, 30 ms (1%), 998858 occupied, 24001093 free *** Garbage collection starting *** GC 71 2-Oct-2003 10:48:33, 40 ms (1%), 1000112 occupied, 23999839 free *** Garbage collection starting *** GC 72 2-Oct-2003 10:48:35, 30 ms (1%), 1000450 occupied, 23999501 free *** Garbage collection starting *** GC 73 2-Oct-2003 10:48:37, 40 ms (1%), 1001468 occupied, 23998483 free *** Garbage collection starting *** GC 74 2-Oct-2003 10:48:39, 30 ms (1%), 1001866 occupied, 23998085 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_216 and e_191. e_191: 0=481*p5*q28 - 71*p6*q26 is replaced by e_219: 0=197*p5*q28 - 142*p6*q14 Step 78: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 75 2-Oct-2003 10:48:41, 30 ms (1%), 999434 occupied, 24000517 free *** Garbage collection starting *** GC 76 2-Oct-2003 10:48:43, 30 ms (1%), 1000780 occupied, 23999171 free *** Garbage collection starting *** GC 77 2-Oct-2003 10:48:45, 40 ms (1%), 1001812 occupied, 23998139 free *** Garbage collection starting *** GC 78 2-Oct-2003 10:48:47, 40 ms (1%), 1002376 occupied, 23997575 free *** Garbage collection starting *** GC 79 2-Oct-2003 10:48:49, 30 ms (1%), 1002644 occupied, 23997307 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_132 and e_133. e_132: 0=p2*q6 - 12*p6*q24 is replaced by e_222: 0=(2*q4 - q6)*p2 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 80 2-Oct-2003 10:48:52, 40 ms (1%), 1000510 occupied, 23999441 free *** Garbage collection starting *** GC 81 2-Oct-2003 10:48:54, 40 ms (1%), 1001722 occupied, 23998229 free *** Garbage collection starting *** GC 82 2-Oct-2003 10:48:56, 30 ms (1%), 1002322 occupied, 23997629 free *** Garbage collection starting *** GC 83 2-Oct-2003 10:48:58, 40 ms (1%), 1002878 occupied, 23997073 free *** Garbage collection starting *** GC 84 2-Oct-2003 10:49:00, 30 ms (1%), 1003170 occupied, 23996781 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_72 and e_36. e_36: 0=3*p1*q24 - p7*q10 is replaced by e_98: 0=(2*q10 - q9)*p7 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 85 2-Oct-2003 10:49:03, 30 ms (1%), 1000648 occupied, 23999303 free *** Garbage collection starting *** GC 86 2-Oct-2003 10:49:05, 30 ms (1%), 1002292 occupied, 23997659 free *** Garbage collection starting *** GC 87 2-Oct-2003 10:49:07, 30 ms (1%), 1003048 occupied, 23996903 free *** Garbage collection starting *** GC 88 2-Oct-2003 10:49:09, 40 ms (1%), 1003294 occupied, 23996657 free *** Garbage collection starting *** GC 89 2-Oct-2003 10:49:11, 30 ms (1%), 1003486 occupied, 23996465 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_98 and e_38. e_38: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q10,q9,p8,p7,p2) is replaced by e_66: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q9,p8,p7,p2) 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 90 2-Oct-2003 10:49:14, 30 ms (1%), 1001740 occupied, 23998211 free *** Garbage collection starting *** GC 91 2-Oct-2003 10:49:16, 40 ms (1%), 1002994 occupied, 23996957 free *** Garbage collection starting *** GC 92 2-Oct-2003 10:49:18, 30 ms (1%), 1003670 occupied, 23996281 free *** Garbage collection starting *** GC 93 2-Oct-2003 10:49:21, 40 ms (1%), 1003996 occupied, 23995955 free *** Garbage collection starting *** GC 94 2-Oct-2003 10:49:23, 30 ms (1%), 1004282 occupied, 23995669 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_266 and e_81. e_81: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q17,q14,q7,p9,p4,p1) is replaced by e_94: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q14,q7,p9,p4,p1) Step 82: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 83: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 84: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 95 2-Oct-2003 10:49:26, 30 ms (1%), 1000310 occupied, 23999641 free *** Garbage collection starting *** GC 96 2-Oct-2003 10:49:28, 30 ms (1%), 1002506 occupied, 23997445 free *** Garbage collection starting *** GC 97 2-Oct-2003 10:49:30, 40 ms (1%), 1003814 occupied, 23996137 free *** Garbage collection starting *** GC 98 2-Oct-2003 10:49:33, 30 ms (1%), 1004148 occupied, 23995803 free *** Garbage collection starting *** GC 99 2-Oct-2003 10:49:35, 40 ms (1%), 1005116 occupied, 23994835 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_213 and e_177. e_177: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q25,q16,p9,p6) is replaced by e_245: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q27,q25,q14,p6) Step 85: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 100 2-Oct-2003 10:49:39, 30 ms (1%), 1000994 occupied, 23998957 free *** Garbage collection starting *** GC 101 2-Oct-2003 10:49:42, 30 ms (1%), 1002876 occupied, 23997075 free *** Garbage collection starting *** GC 102 2-Oct-2003 10:49:44, 30 ms (1%), 1004854 occupied, 23995097 free shortening by 1 term Step 86: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 103 2-Oct-2003 10:49:46, 30 ms (1%), 1002744 occupied, 23997207 free *** Garbage collection starting *** GC 104 2-Oct-2003 10:49:49, 30 ms (1%), 1004854 occupied, 23995097 free shortening by 1 term Step 87: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 105 2-Oct-2003 10:49:51, 40 ms (1%), 1001106 occupied, 23998845 free shortening by 1 term Step 88: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 106 2-Oct-2003 10:49:54, 30 ms (1%), 1001210 occupied, 23998741 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 107 2-Oct-2003 10:49:56, 40 ms (1%), 1001360 occupied, 23998591 free *** Garbage collection starting *** GC 108 2-Oct-2003 10:49:59, 40 ms (1%), 1005570 occupied, 23994381 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 1 term Step 93: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 109 2-Oct-2003 10:50:01, 40 ms (1%), 1001446 occupied, 23998505 free shortening by 2 terms Step 94: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 97: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 110 2-Oct-2003 10:50:04, 30 ms (1%), 1000066 occupied, 23999885 free *** Garbage collection starting *** GC 111 2-Oct-2003 10:50:06, 30 ms (1%), 1001604 occupied, 23998347 free *** Garbage collection starting *** GC 112 2-Oct-2003 10:50:08, 30 ms (1%), 1004278 occupied, 23995672 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 113 2-Oct-2003 10:50:10, 30 ms (1%), 1001272 occupied, 23998679 free shortening by 2 terms Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 114 2-Oct-2003 10:50:12, 30 ms (1%), 1002664 occupied, 23997287 free *** Garbage collection starting *** GC 115 2-Oct-2003 10:50:14, 40 ms (1%), 1005194 occupied, 23994757 free *** Garbage collection starting *** GC 116 2-Oct-2003 10:50:16, 30 ms (1%), 1005864 occupied, 23994087 free *** Garbage collection starting *** GC 117 2-Oct-2003 10:50:18, 30 ms (1%), 1006178 occupied, 23993773 free *** Garbage collection starting *** GC 118 2-Oct-2003 10:50:21, 30 ms (1%), 1006418 occupied, 23993533 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_219 and e_27. e_27: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q25,q16,p9,p6,p5) is replaced by e_7: 3 terms, 6 factors, with derivatives of functions of all variables: (q25,q16,q14,p9,p6) Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 119 2-Oct-2003 10:50:25, 30 ms (1%), 1001868 occupied, 23998083 free *** Garbage collection starting *** GC 120 2-Oct-2003 10:50:27, 30 ms (1%), 1003326 occupied, 23996625 free *** Garbage collection starting *** GC 121 2-Oct-2003 10:50:29, 30 ms (1%), 1004548 occupied, 23995403 free *** Garbage collection starting *** GC 122 2-Oct-2003 10:50:31, 30 ms (1%), 1004772 occupied, 23995179 free *** Garbage collection starting *** GC 123 2-Oct-2003 10:50:33, 30 ms (1%), 1005484 occupied, 23994467 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_213 and e_129. e_129: 0=255*p6*q25 - 313*p9*q16 is replaced by e_54: 0=(939*q14 + 197*q25)*p6 Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 124 2-Oct-2003 10:50:36, 30 ms (1%), 1003628 occupied, 23996323 free *** Garbage collection starting *** GC 125 2-Oct-2003 10:50:38, 30 ms (1%), 1004636 occupied, 23995315 free *** Garbage collection starting *** GC 126 2-Oct-2003 10:50:40, 30 ms (1%), 1005748 occupied, 23994203 free *** Garbage collection starting *** GC 127 2-Oct-2003 10:50:42, 40 ms (1%), 1006228 occupied, 23993723 free *** Garbage collection starting *** GC 128 2-Oct-2003 10:50:45, 30 ms (1%), 1006502 occupied, 23993449 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_54 and e_245. e_245: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q27,q25,q14,p6) is replaced by e_131: 0=(4358*q14 + 591*q27)*p6 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 129 2-Oct-2003 10:50:47, 30 ms (1%), 1003924 occupied, 23996027 free *** Garbage collection starting *** GC 130 2-Oct-2003 10:50:49, 30 ms (1%), 1005148 occupied, 23994803 free *** Garbage collection starting *** GC 131 2-Oct-2003 10:50:52, 30 ms (1%), 1006100 occupied, 23993851 free *** Garbage collection starting *** GC 132 2-Oct-2003 10:50:54, 40 ms (1%), 1006666 occupied, 23993285 free *** Garbage collection starting *** GC 133 2-Oct-2003 10:50:57, 40 ms (1%), 1006890 occupied, 23993061 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_131 and e_211. e_211: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q16,q13,p10,p9,p6) is replaced by e_170: 3 terms, 6 factors, with derivatives of functions of all variables: (q16,q14,q13,p10,p9,p6) Step 104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 134 2-Oct-2003 10:51:00, 30 ms (1%), 1004178 occupied, 23995773 free *** Garbage collection starting *** GC 135 2-Oct-2003 10:51:02, 30 ms (1%), 1005754 occupied, 23994197 free *** Garbage collection starting *** GC 136 2-Oct-2003 10:51:05, 30 ms (1%), 1006706 occupied, 23993245 free *** Garbage collection starting *** GC 137 2-Oct-2003 10:51:07, 30 ms (1%), 1007156 occupied, 23992795 free *** Garbage collection starting *** GC 138 2-Oct-2003 10:51:10, 30 ms (1%), 1007408 occupied, 23992543 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_23 and e_24. e_24: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q20,q6,q4,p10,p2) is replaced by e_172: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q20,q18,q6,q4,p10) Step 106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 139 2-Oct-2003 10:51:14, 40 ms (1%), 1004756 occupied, 23995195 free *** Garbage collection starting *** GC 140 2-Oct-2003 10:51:16, 30 ms (1%), 1006518 occupied, 23993433 free *** Garbage collection starting *** GC 141 2-Oct-2003 10:51:19, 30 ms (1%), 1007706 occupied, 23992245 free *** Garbage collection starting *** GC 142 2-Oct-2003 10:51:22, 30 ms (1%), 1008060 occupied, 23991891 free *** Garbage collection starting *** GC 143 2-Oct-2003 10:51:24, 40 ms (1%), 1008292 occupied, 23991659 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_8 and e_68. e_68: 6 terms, 12 factors, with derivatives of functions of all variables: (q23,q19,q9,q7,q4,p8,p4,p2,p1) is replaced by e_182: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q9,q7,q4,p8,p4,p2,p1) Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 144 2-Oct-2003 10:51:27, 30 ms (1%), 1004646 occupied, 23995305 free *** Garbage collection starting *** GC 145 2-Oct-2003 10:51:30, 30 ms (1%), 1007224 occupied, 23992727 free *** Garbage collection starting *** GC 146 2-Oct-2003 10:51:33, 40 ms (1%), 1008322 occupied, 23991629 free *** Garbage collection starting *** GC 147 2-Oct-2003 10:51:35, 30 ms (1%), 1009054 occupied, 23990897 free *** Garbage collection starting *** GC 148 2-Oct-2003 10:51:38, 40 ms (1%), 1009422 occupied, 23990529 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_231 and e_99. e_99: 7 terms, 14 factors, with derivatives of functions of all variables: (q21,q20,q10,q9,q6,p10,p8,p7,p2) is replaced by e_188: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q9,q6,p10,p8,p7,p2) Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 149 2-Oct-2003 10:51:41, 40 ms (1%), 1007046 occupied, 23992904 free *** Garbage collection starting *** GC 150 2-Oct-2003 10:51:44, 30 ms (1%), 1009128 occupied, 23990822 free *** Garbage collection starting *** GC 151 2-Oct-2003 10:51:47, 40 ms (1%), 1010122 occupied, 23989828 free *** Garbage collection starting *** GC 152 2-Oct-2003 10:51:49, 40 ms (1%), 1010358 occupied, 23989592 free *** Garbage collection starting *** GC 153 2-Oct-2003 10:51:52, 30 ms (1%), 1010658 occupied, 23989292 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_174 and e_213. e_213: 0=765*p6*q14 + 197*p9*q16 is replaced by e_189: 0=591*p10*q13 - 928*p6*q14 Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 154 2-Oct-2003 10:51:56, 40 ms (1%), 1006592 occupied, 23993359 free *** Garbage collection starting *** GC 155 2-Oct-2003 10:51:59, 30 ms (1%), 1008146 occupied, 23991805 free *** Garbage collection starting *** GC 156 2-Oct-2003 10:52:02, 30 ms (1%), 1009150 occupied, 23990801 free *** Garbage collection starting *** GC 157 2-Oct-2003 10:52:05, 30 ms (1%), 1009878 occupied, 23990073 free *** Garbage collection starting *** GC 158 2-Oct-2003 10:52:07, 30 ms (1%), 1010140 occupied, 23989811 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_189 and e_219. e_219: 0=197*p5*q28 - 142*p6*q14 is replaced by e_192: 0=213*p10*q13 - 464*p5*q28 Step 111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 159 2-Oct-2003 10:52:11, 40 ms (1%), 1006956 occupied, 23992995 free *** Garbage collection starting *** GC 160 2-Oct-2003 10:52:14, 40 ms (1%), 1007570 occupied, 23992381 free *** Garbage collection starting *** GC 161 2-Oct-2003 10:52:17, 30 ms (1%), 1008206 occupied, 23991745 free *** Garbage collection starting *** GC 162 2-Oct-2003 10:52:20, 40 ms (1%), 1009030 occupied, 23990921 free *** Garbage collection starting *** GC 163 2-Oct-2003 10:52:23, 30 ms (1%), 1009288 occupied, 23990663 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_199 and e_131. e_131: 0=(4358*q14 + 591*q27)*p6 is replaced by e_29: 0=p6*q27 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 164 2-Oct-2003 10:52:26, 40 ms (1%), 1007472 occupied, 23992479 free *** Garbage collection starting *** GC 165 2-Oct-2003 10:52:29, 30 ms (1%), 1008112 occupied, 23991839 free *** Garbage collection starting *** GC 166 2-Oct-2003 10:52:32, 30 ms (1%), 1009058 occupied, 23990893 free *** Garbage collection starting *** GC 167 2-Oct-2003 10:52:35, 30 ms (1%), 1009514 occupied, 23990437 free *** Garbage collection starting *** GC 168 2-Oct-2003 10:52:38, 30 ms (1%), 1009812 occupied, 23990139 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_29 and e_28. e_28: 0=(371*q26 + 481*q27)*p6 is replaced by e_205: 0=p6*q26 Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 169 2-Oct-2003 10:52:41, 30 ms (1%), 1008072 occupied, 23991878 free *** Garbage collection starting *** GC 170 2-Oct-2003 10:52:44, 40 ms (1%), 1009176 occupied, 23990774 free *** Garbage collection starting *** GC 171 2-Oct-2003 10:52:48, 40 ms (1%), 1009874 occupied, 23990076 free *** Garbage collection starting *** GC 172 2-Oct-2003 10:52:51, 30 ms (1%), 1011328 occupied, 23988622 free *** Garbage collection starting *** GC 173 2-Oct-2003 10:52:54, 40 ms (1%), 1012308 occupied, 23987642 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_205 and e_216. e_216: 0=(962*q14 - 197*q26)*p6 is replaced by e_197: 0=p6*q14 e_197 is a consequence of e_199. 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 174 2-Oct-2003 10:52:57, 30 ms (1%), 1010034 occupied, 23989916 free *** Garbage collection starting *** GC 175 2-Oct-2003 10:53:01, 30 ms (1%), 1011204 occupied, 23988746 free *** Garbage collection starting *** GC 176 2-Oct-2003 10:53:04, 40 ms (1%), 1011462 occupied, 23988488 free *** Garbage collection starting *** GC 177 2-Oct-2003 10:53:08, 30 ms (1%), 1012260 occupied, 23987689 free *** Garbage collection starting *** GC 178 2-Oct-2003 10:53:11, 40 ms (1%), 1012774 occupied, 23987175 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q14 from e_199 and e_54. e_54: 0=(939*q14 + 197*q25)*p6 is replaced by e_208: 0=p6*q25 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 179 2-Oct-2003 10:53:15, 30 ms (1%), 1009178 occupied, 23990773 free *** Garbage collection starting *** GC 180 2-Oct-2003 10:53:18, 30 ms (1%), 1010092 occupied, 23989859 free *** Garbage collection starting *** GC 181 2-Oct-2003 10:53:22, 30 ms (1%), 1011546 occupied, 23988405 free *** Garbage collection starting *** GC 182 2-Oct-2003 10:53:25, 30 ms (1%), 1013814 occupied, 23986137 free *** Garbage collection starting *** GC 183 2-Oct-2003 10:53:29, 30 ms (1%), 1014958 occupied, 23984993 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q13 from e_207 and e_237. e_237: 0=(39*q13 - 16*q15)*p10 is replaced by e_59: 0=p10*q15 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 184 2-Oct-2003 10:53:33, 40 ms (1%), 1010132 occupied, 23989819 free shortening by 4 terms Step 121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 185 2-Oct-2003 10:53:37, 40 ms (1%), 1007856 occupied, 23992095 free 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 186 2-Oct-2003 10:53:40, 40 ms (1%), 1008886 occupied, 23991065 free shortening by 1 term Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 187 2-Oct-2003 10:53:44, 40 ms (1%), 1008092 occupied, 23991859 free *** Garbage collection starting *** GC 188 2-Oct-2003 10:53:48, 30 ms (1%), 1011448 occupied, 23988502 free *** Garbage collection starting *** GC 189 2-Oct-2003 10:53:52, 30 ms (1%), 1013016 occupied, 23986934 free *** Garbage collection starting *** GC 190 2-Oct-2003 10:53:56, 40 ms (1%), 1013706 occupied, 23986244 free *** Garbage collection starting *** GC 191 2-Oct-2003 10:54:00, 30 ms (1%), 1014188 occupied, 23985762 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 192 2-Oct-2003 10:54:05, 40 ms (1%), 1038613 occupied, 23961336 free Eliminate q24 from e_163 and e_133. e_163: 0=p10*q9 - 6*p6*q24 is replaced by e_226: 0=p10*q9 - p2*q4 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 193 2-Oct-2003 10:54:09, 40 ms (1%), 1009948 occupied, 23990002 free *** Garbage collection starting *** GC 194 2-Oct-2003 10:54:13, 40 ms (1%), 1012134 occupied, 23987817 free *** Garbage collection starting *** GC 195 2-Oct-2003 10:54:17, 40 ms (1%), 1013006 occupied, 23986944 free *** Garbage collection starting *** GC 196 2-Oct-2003 10:54:21, 40 ms (1%), 1013346 occupied, 23986605 free *** Garbage collection starting *** GC 197 2-Oct-2003 10:54:25, 40 ms (1%), 1013518 occupied, 23986433 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_226 and e_63. e_63: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q9,p10,p8,p2) is replaced by e_169: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q4,p8,p2) 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 198 2-Oct-2003 10:54:29, 30 ms (1%), 1011636 occupied, 23988314 free *** Garbage collection starting *** GC 199 2-Oct-2003 10:54:34, 30 ms (1%), 1013244 occupied, 23986706 free *** Garbage collection starting *** GC 200 2-Oct-2003 10:54:38, 40 ms (1%), 1013504 occupied, 23986446 free *** Garbage collection starting *** GC 201 2-Oct-2003 10:54:42, 40 ms (1%), 1013848 occupied, 23986102 free *** Garbage collection starting *** GC 202 2-Oct-2003 10:54:46, 40 ms (1%), 1014008 occupied, 23985942 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_226 and e_234. e_234: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q9,p10,p8,p2) is replaced by e_232: 3 terms, 6 factors, with derivatives of functions of all variables: (q19,q4,p8,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 203 2-Oct-2003 10:54:51, 30 ms (1%), 1012812 occupied, 23987139 free *** Garbage collection starting *** GC 204 2-Oct-2003 10:54:55, 30 ms (1%), 1013990 occupied, 23985961 free *** Garbage collection starting *** GC 205 2-Oct-2003 10:54:59, 40 ms (1%), 1014334 occupied, 23985617 free *** Garbage collection starting *** GC 206 2-Oct-2003 10:55:04, 40 ms (1%), 1014500 occupied, 23985451 free *** Garbage collection starting *** GC 207 2-Oct-2003 10:55:08, 40 ms (1%), 1015122 occupied, 23984829 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_226 and e_103. e_103: 6 terms, 12 factors, with derivatives of functions of all variables: (q23,q19,q18,q9,q4,p10,p8,p7,p2) is replaced by e_82: 6 terms, 12 factors, with derivatives of functions of all variables: (q23,q19,q18,q4,p10,p8,p7,p2) 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 208 2-Oct-2003 10:55:13, 40 ms (1%), 1012586 occupied, 23987364 free *** Garbage collection starting *** GC 209 2-Oct-2003 10:55:18, 40 ms (1%), 1015086 occupied, 23984864 free *** Garbage collection starting *** GC 210 2-Oct-2003 10:55:22, 40 ms (1%), 1016510 occupied, 23983439 free *** Garbage collection starting *** GC 211 2-Oct-2003 10:55:27, 40 ms (1%), 1017442 occupied, 23982507 free *** Garbage collection starting *** GC 212 2-Oct-2003 10:55:32, 40 ms (1%), 1017858 occupied, 23982091 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 213 2-Oct-2003 10:55:37, 40 ms (1%), 1062043 occupied, 23937897 free Eliminate q9 from e_226 and e_100. e_100: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q18,q9,q6,p10,p7,p2) is replaced by e_236: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q18,q6,q4,p7,p2) Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 214 2-Oct-2003 10:55:42, 30 ms (1%), 1013896 occupied, 23986054 free *** Garbage collection starting *** GC 215 2-Oct-2003 10:55:47, 30 ms (1%), 1015570 occupied, 23984380 free *** Garbage collection starting *** GC 216 2-Oct-2003 10:55:52, 40 ms (1%), 1016238 occupied, 23983712 free *** Garbage collection starting *** GC 217 2-Oct-2003 10:55:57, 40 ms (1%), 1016426 occupied, 23983524 free *** Garbage collection starting *** GC 218 2-Oct-2003 10:56:02, 40 ms (1%), 1016690 occupied, 23983260 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_231 and e_101. e_101: 8 terms, 16 factors, with derivatives of functions of all variables: (q23,q20,q19,q10,q9,q4,p10,p8,p7,p2) is replaced by e_241: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q20,q19,q9,q4,p10,p8,p7,p2) Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 219 2-Oct-2003 10:56:07, 40 ms (1%), 1013520 occupied, 23986430 free *** Garbage collection starting *** GC 220 2-Oct-2003 10:56:13, 40 ms (1%), 1016414 occupied, 23983535 free *** Garbage collection starting *** GC 221 2-Oct-2003 10:56:18, 40 ms (1%), 1018880 occupied, 23981068 free *** Garbage collection starting *** GC 222 2-Oct-2003 10:56:23, 40 ms (1%), 1019914 occupied, 23980034 free *** Garbage collection starting *** GC 223 2-Oct-2003 10:56:29, 40 ms (1%), 1020220 occupied, 23979728 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_226 and e_241. e_241: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q20,q19,q9,q4,p10,p8,p7,p2) is replaced by e_242: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q20,q19,q4,p10,p8,p7,p2) 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 224 2-Oct-2003 10:56:35, 40 ms (1%), 1016302 occupied, 23983648 free *** Garbage collection starting *** GC 225 2-Oct-2003 10:56:40, 40 ms (1%), 1019206 occupied, 23980744 free *** Garbage collection starting *** GC 226 2-Oct-2003 10:56:46, 30 ms (1%), 1020422 occupied, 23979528 free *** Garbage collection starting *** GC 227 2-Oct-2003 10:56:52, 40 ms (1%), 1021632 occupied, 23978318 free *** Garbage collection starting *** GC 228 2-Oct-2003 10:56:58, 40 ms (1%), 1022310 occupied, 23977640 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_8 and e_161. e_161: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q19,q10,q9,p4,p3,p1) is replaced by e_152: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q10,q9,q4,p4,p3,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 229 2-Oct-2003 10:57:04, 30 ms (1%), 1017188 occupied, 23982762 free *** Garbage collection starting *** GC 230 2-Oct-2003 10:57:11, 40 ms (1%), 1021726 occupied, 23978224 free *** Garbage collection starting *** GC 231 2-Oct-2003 10:57:17, 40 ms (1%), 1023778 occupied, 23976170 free *** Garbage collection starting *** GC 232 2-Oct-2003 10:57:24, 40 ms (1%), 1024058 occupied, 23975890 free *** Garbage collection starting *** GC 233 2-Oct-2003 10:57:31, 40 ms (1%), 1024450 occupied, 23975498 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_6 and e_218. e_218: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q25,q15,q14,p7,p1) is replaced by e_244: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q25,q15,q14,q13,p7,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 234 2-Oct-2003 10:57:37, 40 ms (1%), 1017288 occupied, 23982662 free *** Garbage collection starting *** GC 235 2-Oct-2003 10:57:44, 40 ms (1%), 1019454 occupied, 23980496 free *** Garbage collection starting *** GC 236 2-Oct-2003 10:57:50, 40 ms (1%), 1020742 occupied, 23979208 free *** Garbage collection starting *** GC 237 2-Oct-2003 10:57:58, 40 ms (1%), 1021126 occupied, 23978824 free *** Garbage collection starting *** GC 238 2-Oct-2003 10:58:05, 40 ms (1%), 1021374 occupied, 23978576 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_72 and e_67. e_67: 0=p1*q24 + p2*q10 - p8*q10 is replaced by e_145: 3 terms, 6 factors, with derivatives of functions of all variables: (q10,q9,p8,p7,p2) 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 239 2-Oct-2003 10:58:11, 40 ms (1%), 1016872 occupied, 23983078 free *** Garbage collection starting *** GC 240 2-Oct-2003 10:58:18, 40 ms (1%), 1019786 occupied, 23980164 free *** Garbage collection starting *** GC 241 2-Oct-2003 10:58:26, 40 ms (1%), 1020432 occupied, 23979518 free *** Garbage collection starting *** GC 242 2-Oct-2003 10:58:33, 40 ms (1%), 1020640 occupied, 23979310 free *** Garbage collection starting *** GC 243 2-Oct-2003 10:58:41, 40 ms (1%), 1020890 occupied, 23979060 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 244 2-Oct-2003 10:58:46, 40 ms (1%), 1037542 occupied, 23962400 free Eliminate q26 from e_266 and e_256. e_256: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q17,q9,q2,p9,p5,p4,p2) is replaced by e_253: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q14,q9,q2,p9,p5,p4,p2) 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 245 2-Oct-2003 10:58:53, 40 ms (1%), 1018218 occupied, 23981731 free *** Garbage collection starting *** GC 246 2-Oct-2003 10:59:01, 40 ms (1%), 1021196 occupied, 23978753 free *** Garbage collection starting *** GC 247 2-Oct-2003 10:59:09, 40 ms (1%), 1022060 occupied, 23977889 free *** Garbage collection starting *** GC 248 2-Oct-2003 10:59:18, 40 ms (1%), 1022564 occupied, 23977385 free *** Garbage collection starting *** GC 249 2-Oct-2003 10:59:26, 40 ms (1%), 1023338 occupied, 23976611 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_226 and e_188. e_188: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q9,q6,p10,p8,p7,p2) is replaced by e_113: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q6,q4,p8,p7,p2) Step 137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 250 2-Oct-2003 10:59:33, 40 ms (1%), 1019772 occupied, 23980177 free *** Garbage collection starting *** GC 251 2-Oct-2003 10:59:42, 40 ms (1%), 1022792 occupied, 23977156 free *** Garbage collection starting *** GC 252 2-Oct-2003 10:59:51, 40 ms (1%), 1024356 occupied, 23975592 free *** Garbage collection starting *** GC 253 2-Oct-2003 11:00:00, 40 ms (1%), 1025018 occupied, 23974930 free *** Garbage collection starting *** GC 254 2-Oct-2003 11:00:10, 40 ms (1%), 1026028 occupied, 23973920 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_50 and e_51. e_51: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q19,q16,q6,p8,p7,p6,p2) is replaced by e_259: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q16,q6,q4,p8,p7,p6,p2) 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 255 2-Oct-2003 11:00:18, 40 ms (1%), 1022154 occupied, 23977796 free *** Garbage collection starting *** GC 256 2-Oct-2003 11:00:28, 40 ms (1%), 1026192 occupied, 23973758 free *** Garbage collection starting *** GC 257 2-Oct-2003 11:00:39, 50 ms (0%), 1028272 occupied, 23971676 free *** Garbage collection starting *** GC 258 2-Oct-2003 11:00:49, 40 ms (0%), 1028610 occupied, 23971338 free *** Garbage collection starting *** GC 259 2-Oct-2003 11:01:01, 40 ms (0%), 1028892 occupied, 23971056 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_119 and e_10. e_10: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q18,q16,p7,p6,p1) is replaced by e_45: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q16,q3,p10,p7,p1) Step 139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 260 2-Oct-2003 11:01:08, 40 ms (0%), 1021706 occupied, 23978243 free *** Garbage collection starting *** GC 261 2-Oct-2003 11:01:19, 40 ms (0%), 1024794 occupied, 23975155 free *** Garbage collection starting *** GC 262 2-Oct-2003 11:01:31, 40 ms (0%), 1025130 occupied, 23974819 free *** Garbage collection starting *** GC 263 2-Oct-2003 11:01:43, 40 ms (0%), 1025596 occupied, 23974353 free *** Garbage collection starting *** GC 264 2-Oct-2003 11:01:56, 40 ms (0%), 1025994 occupied, 23973955 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 11:02:01, 40 ms (0%), 1069582 occupied, 23930363 free Eliminate q18 from e_119 and e_85. e_85: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q18,q16,q8,p10,p8,p7,p6) is replaced by e_264: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q16,q8,q3,p10,p8,p7,p6) 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 266 2-Oct-2003 11:02:12, 40 ms (0%), 1025954 occupied, 23973994 free *** Garbage collection starting *** GC 267 2-Oct-2003 11:02:26, 40 ms (0%), 1028032 occupied, 23971917 free *** Garbage collection starting *** GC 268 2-Oct-2003 11:02:40, 40 ms (0%), 1028470 occupied, 23971478 free *** Garbage collection starting *** GC 269 2-Oct-2003 11:02:55, 50 ms (0%), 1030528 occupied, 23969420 free *** Garbage collection starting *** GC 270 2-Oct-2003 11:03:11, 40 ms (0%), 1031802 occupied, 23968146 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_119 and e_164. e_164: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q19,q18,q16,q6,q5,p10,p7,p6) is replaced by e_105: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q19,q16,q6,q5,q3,p10,p7,p6) Step 141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 271 2-Oct-2003 11:03:26, 40 ms (0%), 1028440 occupied, 23971507 free *** Garbage collection starting *** GC 272 2-Oct-2003 11:03:44, 40 ms (0%), 1029338 occupied, 23970609 free *** Garbage collection starting *** GC 273 2-Oct-2003 11:04:02, 50 ms (0%), 1029876 occupied, 23970070 free *** Garbage collection starting *** GC 274 2-Oct-2003 11:04:23, 40 ms (0%), 1030474 occupied, 23969472 free *** Garbage collection starting *** GC 275 2-Oct-2003 11:04:46, 40 ms (0%), 1031790 occupied, 23968156 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q22 from e_16 and e_13. e_13: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q22,q12,p8,p7,p4) is replaced by e_254: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q12,q9,p8,p4,p2) Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 276 2-Oct-2003 11:04:52, 30 ms (0%), 1022206 occupied, 23977744 free *** Garbage collection starting *** GC 277 2-Oct-2003 11:04:58, 30 ms (0%), 1024370 occupied, 23975580 free *** Garbage collection starting *** GC 278 2-Oct-2003 11:05:06, 40 ms (0%), 1025206 occupied, 23974744 free --- Length reducing decoupling steps : Eliminate q23 from e_270 and e_254. e_270: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q12,q10,q9,p8,p4) is replaced by e_22: 4 terms, 8 factors, with derivatives of functions of all variables: (q12,q10,q9,p8,p4,p2) Step 144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 279 2-Oct-2003 11:05:16, 40 ms (0%), 1033438 occupied, 23966513 free Eliminate q26 from e_266 and e_121. e_121: 7 terms, 14 factors, with derivatives of functions of all variables: (q26,q23,q22,q17,q2,p9,p8,p7,p5,p4) is replaced by e_88: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q22,q17,q14,q2,p9,p8,p7,p5,p4) 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 280 2-Oct-2003 11:05:22, 40 ms (0%), 1022630 occupied, 23977320 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 281 2-Oct-2003 11:05:31, 40 ms (0%), 1042123 occupied, 23957827 free Eliminate q18 from e_119 and e_56. e_56: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q20,q18,q16,q5,p10,p8,p7,p6,p3) is replaced by e_123: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q20,q16,q5,q3,p10,p8,p7,p6,p3) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 282 2-Oct-2003 11:05:40, 30 ms (0%), 1049230 occupied, 23950720 free Eliminate q19 from e_50 and e_249. e_249: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q21,q20,q19,q16,q4,p8,p7,p6,p1) is replaced by e_89: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q21,q20,q16,q4,p8,p7,p6,p2,p1) 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 283 2-Oct-2003 11:05:50, 40 ms (0%), 1028232 occupied, 23971718 free --- Length reducing decoupling steps : Eliminate q21 from e_259 and e_89. e_89: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q21,q20,q16,q4,p8,p7,p6,p2,p1) is replaced by e_109: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q20,q16,q6,q4,p8,p7,p6,p2,p1) 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 284 2-Oct-2003 11:05:59, 30 ms (0%), 1027784 occupied, 23972167 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 285 2-Oct-2003 11:06:06, 40 ms (0%), 1027590 occupied, 23972361 free *** Garbage collection starting *** GC 286 2-Oct-2003 11:06:12, 30 ms (0%), 1037865 occupied, 23962084 free Eliminate q26 from e_149 and e_144. e_144: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q17,q15,q14,q8,p9,p8,p6,p5,p3,p1) is replaced by e_55: 8 terms, 16 factors, with derivatives of functions of all variables: (q17,q15,q14,q8,q3,p9,p8,p6,p5,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 287 2-Oct-2003 11:06:23, 30 ms (0%), 1042402 occupied, 23957548 free Eliminate q18 from e_155 and e_9. e_9: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q18,q13,q2,p10,p7,p5,p1) is replaced by e_153: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q17,q13,q2,p10,p7,p6,p1) 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 288 2-Oct-2003 11:06:30, 30 ms (0%), 1025800 occupied, 23974151 free --- Length reducing decoupling steps : Eliminate q25 from e_153 and e_2. e_2: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q17,q13,q3,p9,p7,p6,p1) is replaced by e_138: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q13,q3,q2,p10,p9,p7,p6) Step 151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 289 2-Oct-2003 11:06:43, 40 ms (0%), 1027642 occupied, 23972309 free --- Length reducing decoupling steps : Eliminate q17 from e_138 and e_153. e_153: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q17,q13,q2,p10,p7,p6,p1) is replaced by e_83: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q13,q3,q2,p10,p9,p7,p1) 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 290 2-Oct-2003 11:06:57, 30 ms (0%), 1028908 occupied, 23971042 free --- Length reducing decoupling steps : Eliminate q17 from e_138 and e_155. e_155: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q17,q13,q2,p10,p7,p6,p5) is replaced by e_211: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q13,q3,q2,p10,p9,p7,p5) Step 153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_62 and e_61. e_62: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q22,q18,q3,p7,p6,p4,p1) is replaced by e_93: 4 terms, 8 factors, with derivatives of functions of all variables: (q22,q18,q7,q3,p10,p7,p6,p1) Step 154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 291 2-Oct-2003 11:07:10, 40 ms (0%), 1025290 occupied, 23974660 free *** Garbage collection starting *** GC 292 2-Oct-2003 11:07:24, 40 ms (0%), 1030390 occupied, 23969559 free --- Length reducing decoupling steps : Eliminate q22 from e_93 and e_61. e_61: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q22,q7,q3,p10,p7,p6,p4) is replaced by e_95: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q18,q7,q3,p10,p7,p4,p1) 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 293 2-Oct-2003 11:07:38, 40 ms (0%), 1029418 occupied, 23970532 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 294 2-Oct-2003 11:07:45, 40 ms (0%), 1053071 occupied, 23946878 free Eliminate q23 from e_76 and e_136. e_136: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q17,q2,q1,p9,p8,p5,p3,p1) is replaced by e_175: 7 terms, 14 factors, with derivatives of functions of all variables: (q17,q10,q2,q1,p9,p5,p3,p2,p1) 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 295 2-Oct-2003 11:07:54, 30 ms (0%), 1028402 occupied, 23971548 free --- Length reducing decoupling steps : Eliminate q28 from e_95 and e_92. e_92: 9 terms, 18 factors, with derivatives of functions of all variables: (q28,q21,q19,q18,q11,q8,q7,q5,p10,p7,p4,p3,p1) is replaced by e_71: 9 terms, 18 factors, with derivatives of functions of all variables: (q21,q19,q18,q11,q8,q7,q5,q3,p10,p7,p3,p1) Step 158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 296 2-Oct-2003 11:08:07, 40 ms (0%), 1028598 occupied, 23971351 free --- Length reducing decoupling steps : Eliminate q22 from e_93 and e_180. e_180: 9 terms, 18 factors, with derivatives of functions of all variables: (q23,q22,q21,q20,q8,q7,q4,q3,p10,p8,p7,p6,p1) is replaced by e_99: 9 terms, 18 factors, with derivatives of functions of all variables: (q23,q21,q20,q18,q8,q7,q4,q3,p10,p8,p7,p6,p1) 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 297 2-Oct-2003 11:08:24, 40 ms (0%), 1031348 occupied, 23968603 free --- Length reducing decoupling steps : Eliminate q22 from e_93 and e_137. e_137: 9 terms, 18 factors, with derivatives of functions of all variables: (q23,q22,q20,q18,q11,q5,q3,p10,p8,p7,p6,p3,p1) is replaced by e_213: 9 terms, 18 factors, with derivatives of functions of all variables: (q23,q20,q18,q11,q7,q5,q3,p10,p8,p7,p6,p3,p1) 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 298 2-Oct-2003 11:08:40, 40 ms (0%), 1032942 occupied, 23967008 free --- Length reducing decoupling steps : Eliminate q28 from e_45 and e_109. e_109: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q20,q16,q6,q4,p8,p7,p6,p2,p1) is replaced by e_190: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q16,q6,q4,q3,p10,p8,p7,p6,p2) Step 161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 299 2-Oct-2003 11:08:52, 30 ms (0%), 1031242 occupied, 23968709 free --- Length reducing decoupling steps : Eliminate q17 from e_253 and e_88. e_88: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q22,q17,q14,q2,p9,p8,p7,p5,p4) is replaced by e_97: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q22,q14,q9,q2,p8,p7,p5,p4,p2) Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 300 2-Oct-2003 11:09:05, 20 ms (0%), 1026936 occupied, 23973015 free --- Length reducing decoupling steps : Eliminate q23 from e_80 and e_219. e_219: 6 terms, 12 factors, with derivatives of functions of all variables: (q23,q22,q14,q2,q1,p8,p7,p5,p4,p1) is replaced by e_193: 6 terms, 12 factors, with derivatives of functions of all variables: (q22,q14,q9,q2,q1,p7,p5,p4,p2,p1) 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 301 2-Oct-2003 11:09:21, 40 ms (0%), 1028036 occupied, 23971915 free shortening by 1 term Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 302 2-Oct-2003 11:09:35, 40 ms (0%), 1033478 occupied, 23966473 free *** Garbage collection starting *** GC 303 2-Oct-2003 11:09:42, 30 ms (0%), 1046675 occupied, 23953274 free Eliminate q27 from e_235 and e_115. e_115: 8 terms, 16 factors, with derivatives of functions of all variables: (q27,q25,q14,q11,q2,q1,p9,p8,p7,p4,p3) is replaced by e_189: 8 terms, 16 factors, with derivatives of functions of all variables: (q25,q22,q14,q11,q2,q1,p9,p8,p7,p5,p4,p3) 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 304 2-Oct-2003 11:09:53, 40 ms (0%), 1031188 occupied, 23968763 free --- Length reducing decoupling steps : Eliminate q23 from e_126 and e_139. e_139: 8 terms, 16 factors, with derivatives of functions of all variables: (q23,q22,q21,q19,q6,q4,q3,p8,p7,p6,p1) is replaced by e_203: 8 terms, 16 factors, with derivatives of functions of all variables: (q22,q21,q19,q9,q6,q4,q3,p7,p6,p2,p1) 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 305 2-Oct-2003 11:10:05, 40 ms (0%), 1028614 occupied, 23971337 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 306 2-Oct-2003 11:10:20, 30 ms (0%), 1032387 occupied, 23967563 free Eliminate q22 from e_200 and e_189. e_189: 8 terms, 16 factors, with derivatives of functions of all variables: (q25,q22,q14,q11,q2,q1,p9,p8,p7,p5,p4,p3) is replaced by e_174: 8 terms, 16 factors, with derivatives of functions of all variables: (q25,q17,q14,q11,q2,q1,p9,p8,p7,p5,p4,p3,p1) 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 307 2-Oct-2003 11:10:29, 40 ms (0%), 1030292 occupied, 23969659 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 308 2-Oct-2003 11:10:43, 40 ms (0%), 1048236 occupied, 23951713 free *** Garbage collection starting *** GC 309 2-Oct-2003 11:10:50, 40 ms (0%), 1050600 occupied, 23949347 free *** Garbage collection starting *** GC 310 2-Oct-2003 11:10:58, 30 ms (0%), 1031223 occupied, 23968727 free Eliminate q22 from e_75 and e_187. e_187: 7 terms, 14 factors, with derivatives of functions of all variables: (q22,q21,q9,q7,q6,q4,p7,p4,p2,p1) is replaced by e_202: 7 terms, 14 factors, with derivatives of functions of all variables: (q21,q18,q12,q9,q7,q6,q4,p10,p4,p2,p1) 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 311 2-Oct-2003 11:11:13, 40 ms (0%), 1034306 occupied, 23965644 free --- Length reducing decoupling steps : Eliminate q19 from e_148 and e_146. e_146: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q21,q19,q13,q6,p9,p8,p7,p5,p2) is replaced by e_131: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q21,q13,q6,q4,q1,p9,p8,p7,p6,p5) 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 312 2-Oct-2003 11:11:31, 40 ms (0%), 1035134 occupied, 23964817 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 313 2-Oct-2003 11:11:39, 40 ms (0%), 1048445 occupied, 23951505 free *** Garbage collection starting *** GC 314 2-Oct-2003 11:11:47, 40 ms (0%), 1044009 occupied, 23955940 free *** Garbage collection starting *** GC 315 2-Oct-2003 11:11:56, 40 ms (0%), 1050440 occupied, 23949508 free *** Garbage collection starting *** GC 316 2-Oct-2003 11:12:04, 40 ms (0%), 1033074 occupied, 23966876 free *** Garbage collection starting *** GC 317 2-Oct-2003 11:12:14, 40 ms (0%), 1047567 occupied, 23952382 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_157 we get the alternative equations : 0=p2 0=q14 New level : 1. CRACK is now called with the new equation e_256 : 0=p2 e_222 is a consequence of e_256 Step 171: Hot list of urgent steps : Substitution of p2 found in e_256 : p2=0 Step 172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 318 2-Oct-2003 11:12:17, 30 ms (0%), 1016749 occupied, 23983201 free *** Garbage collection starting *** GC 319 2-Oct-2003 11:12:20, 30 ms (0%), 1019425 occupied, 23980526 free *** Garbage collection starting *** GC 320 2-Oct-2003 11:12:22, 30 ms (0%), 1020157 occupied, 23979793 free *** Garbage collection starting *** GC 321 2-Oct-2003 11:12:25, 30 ms (0%), 1020523 occupied, 23979428 free *** Garbage collection starting *** GC 322 2-Oct-2003 11:12:28, 40 ms (0%), 1020745 occupied, 23979206 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_269 and e_231. e_231: 0=(2*q10 - q9)*p10 is replaced by e_179: 0=p10*q10 Step 188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 323 2-Oct-2003 11:12:31, 30 ms (0%), 1020037 occupied, 23979914 free *** Garbage collection starting *** GC 324 2-Oct-2003 11:12:34, 30 ms (0%), 1020697 occupied, 23979253 free *** Garbage collection starting *** GC 325 2-Oct-2003 11:12:37, 30 ms (0%), 1021097 occupied, 23978853 free *** Garbage collection starting *** GC 326 2-Oct-2003 11:12:40, 30 ms (0%), 1021551 occupied, 23978399 free *** Garbage collection starting *** GC 327 2-Oct-2003 11:12:43, 40 ms (0%), 1021965 occupied, 23977985 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_121 and e_170. e_170: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q27,q26,q21,p9) is replaced by e_61: 0=(2*q21 - q26)*p9 Step 189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 328 2-Oct-2003 11:12:47, 40 ms (0%), 1020091 occupied, 23979860 free *** Garbage collection starting *** GC 329 2-Oct-2003 11:12:50, 30 ms (0%), 1021049 occupied, 23978902 free *** Garbage collection starting *** GC 330 2-Oct-2003 11:12:53, 30 ms (0%), 1021713 occupied, 23978238 free *** Garbage collection starting *** GC 331 2-Oct-2003 11:12:56, 30 ms (0%), 1022617 occupied, 23977334 free *** Garbage collection starting *** GC 332 2-Oct-2003 11:12:59, 30 ms (0%), 1023177 occupied, 23976774 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 333 2-Oct-2003 11:13:06, 30 ms (0%), 1054273 occupied, 23945674 free Eliminate q24 from e_141 and e_43. e_43: 0=3*p5*q24 - p9*q10 is replaced by e_184: 0=(2*q10 - q9)*p9 Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 334 2-Oct-2003 11:13:10, 30 ms (0%), 1022699 occupied, 23977251 free *** Garbage collection starting *** GC 335 2-Oct-2003 11:13:13, 30 ms (0%), 1023499 occupied, 23976451 free shortening by 1 term Step 191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 336 2-Oct-2003 11:13:17, 30 ms (0%), 1023191 occupied, 23976759 free shortening by 1 term Step 192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 337 2-Oct-2003 11:13:20, 30 ms (0%), 1024061 occupied, 23975889 free *** Garbage collection starting *** GC 338 2-Oct-2003 11:13:23, 40 ms (0%), 1026607 occupied, 23973343 free *** Garbage collection starting *** GC 339 2-Oct-2003 11:13:27, 30 ms (0%), 1027163 occupied, 23972787 free *** Garbage collection starting *** GC 340 2-Oct-2003 11:13:31, 40 ms (0%), 1027439 occupied, 23972511 free *** Garbage collection starting *** GC 341 2-Oct-2003 11:13:34, 40 ms (0%), 1027935 occupied, 23972015 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_165 and e_47. e_47: 0=p7*q17 - p9*q22 is replaced by e_193: 0=(q22 - q9)*p9 Step 193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 342 2-Oct-2003 11:13:38, 30 ms (0%), 1024045 occupied, 23975905 free *** Garbage collection starting *** GC 343 2-Oct-2003 11:13:42, 40 ms (0%), 1025273 occupied, 23974677 free *** Garbage collection starting *** GC 344 2-Oct-2003 11:13:46, 30 ms (0%), 1025585 occupied, 23974365 free *** Garbage collection starting *** GC 345 2-Oct-2003 11:13:50, 30 ms (0%), 1025961 occupied, 23973989 free *** Garbage collection starting *** GC 346 2-Oct-2003 11:13:54, 40 ms (0%), 1026317 occupied, 23973633 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_121 and e_2. e_2: 3 terms, 6 factors, with derivatives of functions of all variables: (q27,q26,p9,p7) is replaced by e_192: 0=p7*q26 - p9*q21 + p9*q26 Step 194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 347 2-Oct-2003 11:13:58, 40 ms (0%), 1024729 occupied, 23975221 free *** Garbage collection starting *** GC 348 2-Oct-2003 11:14:03, 30 ms (0%), 1026189 occupied, 23973761 free *** Garbage collection starting *** GC 349 2-Oct-2003 11:14:07, 30 ms (0%), 1026815 occupied, 23973135 free *** Garbage collection starting *** GC 350 2-Oct-2003 11:14:11, 30 ms (0%), 1027191 occupied, 23972759 free *** Garbage collection starting *** GC 351 2-Oct-2003 11:14:16, 40 ms (0%), 1027875 occupied, 23972075 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q20 from e_42 and e_248. e_248: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q21,q20,q6,q4,p10,p7) is replaced by e_139: 4 terms, 8 factors, with derivatives of functions of all variables: (q22,q21,q6,q4,p10,p7) Step 195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 352 2-Oct-2003 11:14:21, 30 ms (0%), 1025949 occupied, 23974000 free shortening by 1 term Step 196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 353 2-Oct-2003 11:14:26, 30 ms (0%), 1024575 occupied, 23975374 free *** Garbage collection starting *** GC 354 2-Oct-2003 11:14:30, 30 ms (0%), 1030735 occupied, 23969214 free *** Garbage collection starting *** GC 355 2-Oct-2003 11:14:35, 40 ms (0%), 1031485 occupied, 23968464 free *** Garbage collection starting *** GC 356 2-Oct-2003 11:14:40, 40 ms (0%), 1031859 occupied, 23968090 free *** Garbage collection starting *** GC 357 2-Oct-2003 11:14:45, 30 ms (0%), 1032177 occupied, 23967772 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q12 from e_13 and e_267. e_267: 0=p4*q23 + p4*q9 - p8*q12 is replaced by e_206: 0=(2*q10 + q23 + 7*q9)*p4 Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 358 2-Oct-2003 11:14:51, 40 ms (0%), 1025831 occupied, 23974118 free *** Garbage collection starting *** GC 359 2-Oct-2003 11:14:56, 40 ms (0%), 1028333 occupied, 23971616 free *** Garbage collection starting *** GC 360 2-Oct-2003 11:15:02, 40 ms (0%), 1028853 occupied, 23971096 free *** Garbage collection starting *** GC 361 2-Oct-2003 11:15:07, 40 ms (0%), 1029259 occupied, 23970690 free *** Garbage collection starting *** GC 362 2-Oct-2003 11:15:13, 40 ms (0%), 1029575 occupied, 23970374 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_51 and e_33. e_33: 0=3*p3*q24 - p8*q10 is replaced by e_209: 0=18*p3*q24 - p7*q9 Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 363 2-Oct-2003 11:15:19, 30 ms (0%), 1026051 occupied, 23973898 free *** Garbage collection starting *** GC 364 2-Oct-2003 11:15:25, 40 ms (0%), 1029343 occupied, 23970606 free *** Garbage collection starting *** GC 365 2-Oct-2003 11:15:31, 30 ms (0%), 1029957 occupied, 23969992 free *** Garbage collection starting *** GC 366 2-Oct-2003 11:15:37, 40 ms (0%), 1030299 occupied, 23969650 free *** Garbage collection starting *** GC 367 2-Oct-2003 11:15:43, 30 ms (0%), 1030795 occupied, 23969154 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 368 2-Oct-2003 11:15:50, 40 ms (0%), 1048773 occupied, 23951176 free Eliminate q27 from e_121 and e_92. e_92: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q25,q17,q14,q4,p10,p9) is replaced by e_159: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q21,q17,q14,q4,p10,p9) 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 369 2-Oct-2003 11:15:56, 40 ms (0%), 1030345 occupied, 23969603 free *** Garbage collection starting *** GC 370 2-Oct-2003 11:16:03, 40 ms (0%), 1032507 occupied, 23967441 free *** Garbage collection starting *** GC 371 2-Oct-2003 11:16:10, 40 ms (0%), 1035645 occupied, 23964302 free *** Garbage collection starting *** GC 372 2-Oct-2003 11:16:17, 40 ms (0%), 1037055 occupied, 23962892 free *** Garbage collection starting *** GC 373 2-Oct-2003 11:16:24, 40 ms (0%), 1037501 occupied, 23962446 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_280 and e_159. e_159: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q21,q17,q14,q4,p10,p9) is replaced by e_212: 0=p10*q17 - p9*q4 - p9*q6 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 374 2-Oct-2003 11:16:31, 40 ms (0%), 1030303 occupied, 23969646 free *** Garbage collection starting *** GC 375 2-Oct-2003 11:16:39, 40 ms (0%), 1032469 occupied, 23967480 free *** Garbage collection starting *** GC 376 2-Oct-2003 11:16:47, 40 ms (0%), 1032939 occupied, 23967010 free *** Garbage collection starting *** GC 377 2-Oct-2003 11:16:55, 40 ms (0%), 1033341 occupied, 23966608 free *** Garbage collection starting *** GC 378 2-Oct-2003 11:17:03, 40 ms (0%), 1033937 occupied, 23966012 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_283 and e_278. e_278: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q15,q4,q1,p8,p6,p5) is replaced by e_132: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q13,q4,q1,p8,p6,p5) 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 379 2-Oct-2003 11:17:12, 40 ms (0%), 1033541 occupied, 23966408 free *** Garbage collection starting *** GC 380 2-Oct-2003 11:17:21, 40 ms (0%), 1034977 occupied, 23964972 free *** Garbage collection starting *** GC 381 2-Oct-2003 11:17:31, 40 ms (0%), 1036521 occupied, 23963428 free *** Garbage collection starting *** GC 382 2-Oct-2003 11:17:41, 40 ms (0%), 1038515 occupied, 23961434 free *** Garbage collection starting *** GC 383 2-Oct-2003 11:17:52, 40 ms (0%), 1039029 occupied, 23960920 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 384 2-Oct-2003 11:18:00, 40 ms (0%), 1048195 occupied, 23951752 free Eliminate q19 from e_272 and e_52. e_52: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q19,q16,q6,p8,p7,p6) is replaced by e_227: 6 terms, 12 factors, with derivatives of functions of all variables: (q21,q20,q16,q6,q4,p8,p7,p6) 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 : shortening by 2 terms Step 204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 385 2-Oct-2003 11:18:09, 40 ms (0%), 1032719 occupied, 23967230 free *** Garbage collection starting *** GC 386 2-Oct-2003 11:18:21, 40 ms (0%), 1036391 occupied, 23963557 free *** Garbage collection starting *** GC 387 2-Oct-2003 11:18:33, 40 ms (0%), 1037291 occupied, 23962658 free *** Garbage collection starting *** GC 388 2-Oct-2003 11:18:46, 40 ms (0%), 1038011 occupied, 23961937 free *** Garbage collection starting *** GC 389 2-Oct-2003 11:19:00, 40 ms (0%), 1040783 occupied, 23959166 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 390 2-Oct-2003 11:19:07, 40 ms (0%), 1062945 occupied, 23937002 free *** Garbage collection starting *** GC 391 2-Oct-2003 11:19:15, 40 ms (0%), 1042580 occupied, 23957368 free *** Garbage collection starting *** GC 392 2-Oct-2003 11:19:23, 40 ms (0%), 1049270 occupied, 23950675 free *** Garbage collection starting *** GC 393 2-Oct-2003 11:19:31, 40 ms (0%), 1044645 occupied, 23955302 free Eliminate q20 from e_38 and e_123. e_123: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q20,q16,q5,q3,p10,p8,p7,p6,p3) is replaced by e_241: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q16,q6,q5,q4,q3,p10,p7,p6,p3) 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 394 2-Oct-2003 11:19:43, 40 ms (0%), 1039221 occupied, 23960725 free *** Garbage collection starting *** GC 395 2-Oct-2003 11:19:58, 40 ms (0%), 1040455 occupied, 23959492 free *** Garbage collection starting *** GC 396 2-Oct-2003 11:20:15, 40 ms (0%), 1040999 occupied, 23958948 free *** Garbage collection starting *** GC 397 2-Oct-2003 11:20:34, 40 ms (0%), 1042731 occupied, 23957216 free *** Garbage collection starting *** GC 398 2-Oct-2003 11:20:57, 40 ms (0%), 1043523 occupied, 23956424 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_277 and e_73. e_73: 8 terms, 16 factors, with derivatives of functions of all variables: (q23,q22,q20,q11,q7,q6,p8,p7,p4,p3,p1) is replaced by e_161: 8 terms, 16 factors, with derivatives of functions of all variables: (q22,q20,q11,q9,q7,q6,q4,p7,p4,p3,p1) 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 399 2-Oct-2003 11:21:06, 40 ms (0%), 1037977 occupied, 23961972 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 400 2-Oct-2003 11:21:28, 50 ms (0%), 1059061 occupied, 23940886 free Eliminate q17 from e_276 and e_200. e_200: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q17,q2,q1,p9,p7,p5,p1) is replaced by e_218: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q14,q9,q2,q1,p7,p5,p4,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 401 2-Oct-2003 11:21:48, 50 ms (0%), 1052816 occupied, 23947133 free Eliminate q23 from e_291 and e_99. e_99: 9 terms, 18 factors, with derivatives of functions of all variables: (q23,q21,q20,q18,q8,q7,q4,q3,p10,p8,p7,p6,p1) is replaced by e_67: 9 terms, 18 factors, with derivatives of functions of all variables: (q21,q20,q19,q18,q9,q8,q7,q4,q3,p10,p7,p6,p1) 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 402 2-Oct-2003 11:22:05, 40 ms (0%), 1042725 occupied, 23957224 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 403 2-Oct-2003 11:22:19, 40 ms (0%), 1051392 occupied, 23948554 free *** Garbage collection starting *** GC 404 2-Oct-2003 11:22:29, 40 ms (0%), 1053080 occupied, 23946865 free *** Garbage collection starting *** GC 405 2-Oct-2003 11:22:41, 40 ms (0%), 1044728 occupied, 23955219 free *** Garbage collection starting *** GC 406 2-Oct-2003 11:22:57, 40 ms (0%), 1041295 occupied, 23958654 free --- Factorization to subcases leading to substitutions : factorizing e_10 we get the alternative equations : 0=p8 0=q19 New level : 1.1. CRACK is now called with the new equation e_342 : 0=p8 e_224,e_77,e_1 are consequences of e_342 Step 210: Hot list of urgent steps : The list of inequalities got extended by: g0047*p10 + g0048*p9 + g0050*p7 Substitution of p8 found in e_342 : p8=0 Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 407 2-Oct-2003 11:23:20, 40 ms (0%), 1029424 occupied, 23970527 free --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 408 2-Oct-2003 11:23:24, 40 ms (0%), 1031066 occupied, 23968885 free *** Garbage collection starting *** GC 409 2-Oct-2003 11:23:26, 30 ms (0%), 1032264 occupied, 23967687 free *** Garbage collection starting *** GC 410 2-Oct-2003 11:23:29, 40 ms (0%), 1032670 occupied, 23967281 free *** Garbage collection starting *** GC 411 2-Oct-2003 11:23:32, 30 ms (0%), 1033004 occupied, 23966947 free *** Garbage collection starting *** GC 412 2-Oct-2003 11:23:35, 40 ms (0%), 1033276 occupied, 23966675 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_262 and e_98. e_98: 0=(2*q10 - q9)*p7 is replaced by e_340: 0=p7*q9 e_340 is a consequence of e_85. 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 413 2-Oct-2003 11:23:39, 30 ms (0%), 1033174 occupied, 23966777 free *** Garbage collection starting *** GC 414 2-Oct-2003 11:23:42, 30 ms (0%), 1033602 occupied, 23966349 free *** Garbage collection starting *** GC 415 2-Oct-2003 11:23:45, 30 ms (0%), 1034074 occupied, 23965877 free *** Garbage collection starting *** GC 416 2-Oct-2003 11:23:48, 30 ms (0%), 1034356 occupied, 23965595 free *** Garbage collection starting *** GC 417 2-Oct-2003 11:23:52, 40 ms (0%), 1034670 occupied, 23965281 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_85 and e_56. e_56: 0=(q23 - 2*q9)*p7 is replaced by e_341: 0=p7*q23 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 418 2-Oct-2003 11:23:55, 40 ms (0%), 1033996 occupied, 23965955 free *** Garbage collection starting *** GC 419 2-Oct-2003 11:23:59, 40 ms (0%), 1034370 occupied, 23965581 free *** Garbage collection starting *** GC 420 2-Oct-2003 11:24:02, 40 ms (0%), 1034726 occupied, 23965225 free *** Garbage collection starting *** GC 421 2-Oct-2003 11:24:06, 40 ms (0%), 1035136 occupied, 23964815 free *** Garbage collection starting *** GC 422 2-Oct-2003 11:24:10, 40 ms (0%), 1035664 occupied, 23964287 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_341 and e_144. e_144: 0=(q22 - q23)*p7 is replaced by e_1: 0=p7*q22 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 423 2-Oct-2003 11:24:13, 40 ms (0%), 1035566 occupied, 23964385 free shortening by 1 term Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 424 2-Oct-2003 11:24:17, 40 ms (0%), 1032414 occupied, 23967537 free shortening by 1 term Step 224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 425 2-Oct-2003 11:24:20, 30 ms (0%), 1032362 occupied, 23967589 free *** Garbage collection starting *** GC 426 2-Oct-2003 11:24:23, 40 ms (0%), 1036800 occupied, 23963150 free *** Garbage collection starting *** GC 427 2-Oct-2003 11:24:26, 40 ms (0%), 1037798 occupied, 23962152 free *** Garbage collection starting *** GC 428 2-Oct-2003 11:24:29, 30 ms (0%), 1038136 occupied, 23961814 free *** Garbage collection starting *** GC 429 2-Oct-2003 11:24:33, 30 ms (0%), 1038408 occupied, 23961542 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q22 from e_1 and e_164. e_164: 0=(q22 - q9)*p7 is replaced by e_198: 0=p7*q9 e_198 is a consequence of e_85. 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 430 2-Oct-2003 11:24:36, 30 ms (0%), 1036244 occupied, 23963707 free *** Garbage collection starting *** GC 431 2-Oct-2003 11:24:40, 40 ms (0%), 1036758 occupied, 23963193 free *** Garbage collection starting *** GC 432 2-Oct-2003 11:24:43, 40 ms (0%), 1037680 occupied, 23962271 free *** Garbage collection starting *** GC 433 2-Oct-2003 11:24:47, 30 ms (0%), 1039712 occupied, 23960239 free shortening by 1 term Step 227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 434 2-Oct-2003 11:24:51, 40 ms (0%), 1037894 occupied, 23962057 free shortening by 1 term Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 435 2-Oct-2003 11:24:55, 30 ms (0%), 1035092 occupied, 23964859 free *** Garbage collection starting *** GC 436 2-Oct-2003 11:24:59, 30 ms (0%), 1038788 occupied, 23961163 free *** Garbage collection starting *** GC 437 2-Oct-2003 11:25:03, 40 ms (0%), 1039572 occupied, 23960379 free *** Garbage collection starting *** GC 438 2-Oct-2003 11:25:08, 30 ms (0%), 1039934 occupied, 23960017 free *** Garbage collection starting *** GC 439 2-Oct-2003 11:25:12, 30 ms (0%), 1040302 occupied, 23959649 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_12 and e_184. e_184: 0=(2*q10 - q9)*p9 is replaced by e_92: 0=p9*q9 Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 440 2-Oct-2003 11:25:17, 40 ms (0%), 1037234 occupied, 23962717 free *** Garbage collection starting *** GC 441 2-Oct-2003 11:25:21, 30 ms (0%), 1038000 occupied, 23961951 free *** Garbage collection starting *** GC 442 2-Oct-2003 11:25:26, 30 ms (0%), 1038542 occupied, 23961409 free *** Garbage collection starting *** GC 443 2-Oct-2003 11:25:31, 40 ms (0%), 1039280 occupied, 23960671 free *** Garbage collection starting *** GC 444 2-Oct-2003 11:25:36, 40 ms (0%), 1040050 occupied, 23959900 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q9 from e_92 and e_193. e_193: 0=(q22 - q9)*p9 is replaced by e_220: 0=p9*q22 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 445 2-Oct-2003 11:25:42, 40 ms (0%), 1038876 occupied, 23961073 free *** Garbage collection starting *** GC 446 2-Oct-2003 11:25:47, 30 ms (0%), 1042900 occupied, 23957049 free shortening by 1 term Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 447 2-Oct-2003 11:25:53, 40 ms (0%), 1038868 occupied, 23961083 free *** Garbage collection starting *** GC 448 2-Oct-2003 11:25:59, 30 ms (0%), 1041284 occupied, 23958667 free *** Garbage collection starting *** GC 449 2-Oct-2003 11:26:06, 40 ms (0%), 1041762 occupied, 23958189 free *** Garbage collection starting *** GC 450 2-Oct-2003 11:26:12, 40 ms (0%), 1042266 occupied, 23957685 free *** Garbage collection starting *** GC 451 2-Oct-2003 11:26:20, 40 ms (0%), 1042686 occupied, 23957265 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_158 and e_334. e_334: 0=(q19 - q4)*p7 is replaced by e_140: 0=p7*q4 Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 452 2-Oct-2003 11:26:27, 40 ms (0%), 1040638 occupied, 23959313 free *** Garbage collection starting *** GC 453 2-Oct-2003 11:26:34, 40 ms (0%), 1041968 occupied, 23957983 free *** Garbage collection starting *** GC 454 2-Oct-2003 11:26:42, 40 ms (0%), 1043995 occupied, 23955956 free *** Garbage collection starting *** GC 455 2-Oct-2003 11:26:51, 40 ms (0%), 1047046 occupied, 23952903 free *** Garbage collection starting *** GC 456 2-Oct-2003 11:27:01, 40 ms (0%), 1047454 occupied, 23952496 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q10 from e_249 and e_206. e_206: 0=(2*q10 + q23 + 7*q9)*p4 is replaced by e_227: 0=(q23 + q9)*p4 Step 240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 457 2-Oct-2003 11:27:09, 40 ms (0%), 1042508 occupied, 23957443 free *** Garbage collection starting *** GC 458 2-Oct-2003 11:27:20, 40 ms (0%), 1043832 occupied, 23956117 free *** Garbage collection starting *** GC 459 2-Oct-2003 11:27:32, 40 ms (0%), 1047082 occupied, 23952864 free *** Garbage collection starting *** GC 460 2-Oct-2003 11:27:45, 40 ms (0%), 1047660 occupied, 23952286 free *** Garbage collection starting *** GC 461 2-Oct-2003 11:28:01, 40 ms (0%), 1048708 occupied, 23951238 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q19 from e_271 and e_152. e_152: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q19,q6,q4,p6,p3) is replaced by e_81: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q6,q4,p6,p3) 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 : *** Garbage collection starting *** GC 462 2-Oct-2003 11:28:13, 40 ms (0%), 1045308 occupied, 23954641 free *** Garbage collection starting *** GC 463 2-Oct-2003 11:28:33, 40 ms (0%), 1046380 occupied, 23953567 free --- Length reducing decoupling steps : Eliminate q23 from e_57 and e_173. e_173: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q19,q10,q4,p6,p3,p1) is replaced by e_103: 5 terms, 10 factors, with derivatives of functions of all variables: (q19,q10,q4,p6,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 464 2-Oct-2003 11:28:48, 40 ms (0%), 1059529 occupied, 23940414 free *** Garbage collection starting *** GC 465 2-Oct-2003 11:28:56, 40 ms (0%), 1067607 occupied, 23932333 free Eliminate q23 from e_57 and e_129. e_129: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q19,q9,q4,p6,p1) is replaced by e_239: 4 terms, 8 factors, with derivatives of functions of all variables: (q19,q9,q4,p6,p3,p1) Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 466 2-Oct-2003 11:29:13, 40 ms (0%), 1047020 occupied, 23952930 free --- Length reducing decoupling steps : Eliminate q19 from e_239 and e_57. e_57: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q19,q4,p6,p3,p1) is replaced by e_247: 4 terms, 8 factors, with derivatives of functions of all variables: (q23,q9,q4,p6,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 467 2-Oct-2003 11:29:32, 40 ms (0%), 1049981 occupied, 23949970 free Eliminate q17 from e_329 and e_122. e_122: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q18,q17,q14,p10,p9,p7) is replaced by e_251: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q18,q14,q6,p9,p7) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 468 2-Oct-2003 11:29:48, 50 ms (0%), 1057408 occupied, 23942543 free Eliminate q27 from e_6 and e_181. e_181: 7 terms, 14 factors, with derivatives of functions of all variables: (q27,q25,q15,q13,q2,p10,p9,p7,p5,p1) is replaced by e_307: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q15,q13,q2,p10,p9,p7,p5,p1) Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 469 2-Oct-2003 11:30:06, 40 ms (0%), 1049134 occupied, 23950814 free --- Length reducing decoupling steps : Eliminate q23 from e_7 and e_154. e_154: 5 terms, 10 factors, with derivatives of functions of all variables: (q23,q10,q9,p3,p1) is replaced by e_296: 5 terms, 10 factors, with derivatives of functions of all variables: (q10,q9,q4,p4,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_35 and e_60. e_60: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q21,q19,q13,q6,p9,p7,p5) is replaced by e_313: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q15,q13,q6,p9,p7,p5) 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 : *** Garbage collection starting *** GC 470 2-Oct-2003 11:30:22, 40 ms (0%), 1046068 occupied, 23953883 free shortening by 3 terms 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 471 2-Oct-2003 11:30:44, 40 ms (0%), 1055222 occupied, 23944729 free Eliminate q19 from e_271 and e_19. e_19: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q19,q8,q5,q3,p10,p6,p3,p1) is replaced by e_319: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q8,q5,q4,q3,p10,p6,p3,p1) Step 252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 472 2-Oct-2003 11:30:57, 40 ms (0%), 1049126 occupied, 23950825 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 473 2-Oct-2003 11:31:10, 40 ms (0%), 1057553 occupied, 23942393 free Eliminate q19 from e_239 and e_299. e_299: 7 terms, 14 factors, with derivatives of functions of all variables: (q22,q21,q19,q9,q6,q4,q3,p7,p6,p1) is replaced by e_320: 7 terms, 14 factors, with derivatives of functions of all variables: (q22,q21,q9,q6,q4,q3,p7,p6,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q4 from e_9 and e_290. e_290: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q14,q13,q4,p9,p5,p1) is replaced by e_139: 5 terms, 10 factors, with derivatives of functions of all variables: (q26,q14,q13,q1,p9,p6,p5,p1) Step 254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 474 2-Oct-2003 11:31:31, 40 ms (0%), 1048626 occupied, 23951325 free --- Length reducing decoupling steps : Eliminate q23 from e_78 and e_130. e_130: 7 terms, 14 factors, with derivatives of functions of all variables: (q23,q22,q21,q19,q6,q5,p7,p6,p3,p1) is replaced by e_326: 7 terms, 14 factors, with derivatives of functions of all variables: (q21,q19,q8,q6,q5,p7,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q19 from e_337 and e_313. e_313: 6 terms, 12 factors, with derivatives of functions of all variables: (q19,q15,q13,q6,p9,p7,p5) is replaced by e_72: 6 terms, 12 factors, with derivatives of functions of all variables: (q15,q13,q6,q1,p9,p7,p6,p5) 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 : *** Garbage collection starting *** GC 475 2-Oct-2003 11:31:54, 40 ms (0%), 1047894 occupied, 23952055 free --- Length reducing decoupling steps : Eliminate q15 from e_72 and e_36. e_36: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q17,q15,q13,q1,p9,p7,p6,p5) is replaced by e_328: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q17,q13,q6,q1,p9,p7,p6,p5) Step 257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 476 2-Oct-2003 11:32:20, 40 ms (0%), 1052064 occupied, 23947884 free --- Length reducing decoupling steps : Eliminate q19 from e_337 and e_168. e_168: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q19,q17,q14,q8,q5,p9,p6,p5,p3,p1) is replaced by e_212: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q17,q14,q8,q5,q1,p9,p6,p5,p3,p1) 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 : --- Length reducing decoupling steps : Eliminate q26 from e_139 and e_212. e_212: 8 terms, 16 factors, with derivatives of functions of all variables: (q26,q17,q14,q8,q5,q1,p9,p6,p5,p3,p1) is replaced by e_330: 8 terms, 16 factors, with derivatives of functions of all variables: (q17,q14,q13,q8,q5,q1,p9,p6,p5,p3,p1) 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 : *** Garbage collection starting *** GC 477 2-Oct-2003 11:32:41, 50 ms (0%), 1047504 occupied, 23952446 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 478 2-Oct-2003 11:32:59, 40 ms (0%), 1055763 occupied, 23944186 free *** Garbage collection starting *** GC 479 2-Oct-2003 11:33:10, 40 ms (0%), 1054494 occupied, 23945455 free Eliminate q15 from e_72 and e_308. e_308: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q15,q13,q3,p9,p7,p5,p1) is replaced by e_143: 6 terms, 12 factors, with derivatives of functions of all variables: (q25,q13,q6,q3,q1,p9,p7,p6,p5,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 480 2-Oct-2003 11:33:30, 50 ms (0%), 1057963 occupied, 23941986 free Eliminate q21 from e_155 and e_20. e_20: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q21,q8,q5,q3,p10,p6,p3,p1) is replaced by e_333: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q20,q16,q5,q3,p10,p7,p6,p3,p1) Step 262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 481 2-Oct-2003 11:33:52, 40 ms (0%), 1051980 occupied, 23947969 free --- Length reducing decoupling steps : Eliminate q28 from e_77 and e_98. e_98: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q20,q16,q5,p10,p7,p6,p3) is replaced by e_346: 4 terms, 8 factors, with derivatives of functions of all variables: (q20,q16,q5,q3,p10,p7,p6) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 482 2-Oct-2003 11:34:08, 30 ms (0%), 1046656 occupied, 23953294 free Eliminate q20 from e_346 and e_77. e_77: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q20,q16,q3,p10,p7,p6,p3) is replaced by e_47: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q16,q5,q3,p10,p7,p3) 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 : --- Length reducing decoupling steps : Eliminate q20 from e_346 and e_155. e_155: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q20,q16,q8,q3,p10,p7,p6) is replaced by e_198: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q16,q8,q5,q3,p10,p7,p6) 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 483 2-Oct-2003 11:34:16, 40 ms (0%), 1046532 occupied, 23953418 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 484 2-Oct-2003 11:34:30, 40 ms (0%), 1046372 occupied, 23953579 free --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 485 2-Oct-2003 11:34:54, 40 ms (0%), 1045255 occupied, 23954696 free factorizing e_140 we get the alternative equations : 0=p7 0=q4 New level : 1.1.1. CRACK is now called with the new equation e_53 : 0=p7 e_118,e_42,e_44,e_158,e_112,e_85,e_18,e_262,e_341,e_1,e_210 are consequences of e_53 Step 269: Hot list of urgent steps : The list of inequalities got extended by: g0047*p10 + g0048*p9 Substitution of p7 found in e_53 : p7=0 Step 270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 486 2-Oct-2003 11:34:57, 40 ms (0%), 1037362 occupied, 23962589 free *** Garbage collection starting *** GC 487 2-Oct-2003 11:34:59, 40 ms (0%), 1038458 occupied, 23961492 free *** Garbage collection starting *** GC 488 2-Oct-2003 11:35:02, 30 ms (0%), 1038912 occupied, 23961038 free *** Garbage collection starting *** GC 489 2-Oct-2003 11:35:05, 40 ms (0%), 1039346 occupied, 23960603 free *** Garbage collection starting *** GC 490 2-Oct-2003 11:35:08, 30 ms (0%), 1039788 occupied, 23960162 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q26 from e_122 and e_61. e_122: 0=(q21 - q26)*p9 is replaced by e_116: 0=p9*q21 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 491 2-Oct-2003 11:35:11, 30 ms (0%), 1039930 occupied, 23960018 free *** Garbage collection starting *** GC 492 2-Oct-2003 11:35:14, 30 ms (0%), 1040914 occupied, 23959035 free *** Garbage collection starting *** GC 493 2-Oct-2003 11:35:17, 40 ms (0%), 1042054 occupied, 23957894 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 494 2-Oct-2003 11:35:21, 30 ms (0%), 1042462 occupied, 23957488 free *** Garbage collection starting *** GC 495 2-Oct-2003 11:35:24, 30 ms (0%), 1043748 occupied, 23956201 free *** Garbage collection starting *** GC 496 2-Oct-2003 11:35:28, 40 ms (0%), 1044312 occupied, 23955638 free *** Garbage collection starting *** GC 497 2-Oct-2003 11:35:32, 40 ms (0%), 1044950 occupied, 23954999 free *** Garbage collection starting *** GC 498 2-Oct-2003 11:35:36, 40 ms (0%), 1045700 occupied, 23954250 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_116 and e_61. e_61: 0=(2*q21 - q26)*p9 is replaced by e_163: 0=p9*q26 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 499 2-Oct-2003 11:35:40, 40 ms (0%), 1044080 occupied, 23955868 free *** Garbage collection starting *** GC 500 2-Oct-2003 11:35:45, 40 ms (0%), 1049218 occupied, 23950730 free *** Garbage collection starting *** GC 501 2-Oct-2003 11:35:49, 40 ms (0%), 1049702 occupied, 23950245 free *** Garbage collection starting *** GC 502 2-Oct-2003 11:35:55, 40 ms (0%), 1050150 occupied, 23949798 free *** Garbage collection starting *** GC 503 2-Oct-2003 11:36:00, 40 ms (0%), 1050636 occupied, 23949311 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_116 and e_121. e_121: 0=(2*q21 + q27)*p9 is replaced by e_206: 0=p9*q27 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 504 2-Oct-2003 11:36:06, 40 ms (0%), 1046312 occupied, 23953637 free *** Garbage collection starting *** GC 505 2-Oct-2003 11:36:13, 40 ms (0%), 1048594 occupied, 23951352 free *** Garbage collection starting *** GC 506 2-Oct-2003 11:36:20, 40 ms (0%), 1051848 occupied, 23948098 free *** Garbage collection starting *** GC 507 2-Oct-2003 11:36:28, 40 ms (0%), 1052398 occupied, 23947547 free *** Garbage collection starting *** GC 508 2-Oct-2003 11:36:37, 40 ms (0%), 1052972 occupied, 23946973 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_206 and e_60. e_60: 0=(q20 + q27 - q6)*p9 is replaced by e_230: 0=(q20 - q6)*p9 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 509 2-Oct-2003 11:36:46, 50 ms (0%), 1048420 occupied, 23951525 free *** Garbage collection starting *** GC 510 2-Oct-2003 11:36:58, 40 ms (0%), 1051246 occupied, 23948700 free *** Garbage collection starting *** GC 511 2-Oct-2003 11:37:11, 40 ms (0%), 1052046 occupied, 23947899 free *** Garbage collection starting *** GC 512 2-Oct-2003 11:37:27, 40 ms (0%), 1053776 occupied, 23946170 free --- Length reducing decoupling steps : Eliminate q26 from e_163 and e_154. e_154: 0=(q20 - 2*q25 - q26)*p9 is replaced by e_294: 0=(q20 - 2*q25)*p9 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 513 2-Oct-2003 11:37:41, 40 ms (0%), 1057370 occupied, 23942576 free *** Garbage collection starting *** GC 514 2-Oct-2003 11:37:50, 40 ms (0%), 1049559 occupied, 23950389 free Eliminate q28 from e_256 and e_58. e_58: 4 terms, 8 factors, with derivatives of functions of all variables: (q28,q8,q5,q4,p10,p6,p3) is replaced by e_100: 4 terms, 8 factors, with derivatives of functions of all variables: (q8,q5,q4,q3,p10,p6) 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 : --- Length reducing decoupling steps : Eliminate q8 from e_100 and e_322. e_322: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q8,q5,q3,p10,p6) is replaced by e_101: 4 terms, 8 factors, with derivatives of functions of all variables: (q21,q5,q4,q3,p10,p6) 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 : --- Length reducing decoupling steps : Eliminate q28 from e_157 and e_238. e_238: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q6,q4,p6,p1) is replaced by e_246: 3 terms, 6 factors, with derivatives of functions of all variables: (q6,q4,q3,p10,p6) 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 : *** Garbage collection starting *** GC 515 2-Oct-2003 11:38:07, 40 ms (0%), 1050098 occupied, 23949849 free --- Length reducing decoupling steps : Eliminate q6 from e_246 and e_81. e_81: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q6,q4,p6,p3) is replaced by e_210: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q4,q3,p10,p6,p3) 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 : --- Length reducing decoupling steps : Eliminate q28 from e_210 and e_256. e_256: 3 terms, 6 factors, with derivatives of functions of all variables: (q28,q5,q3,p10,p3) is replaced by e_18: 3 terms, 6 factors, with derivatives of functions of all variables: (q5,q4,q3,p10,p6) Step 283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 516 2-Oct-2003 11:38:25, 40 ms (0%), 1050726 occupied, 23949221 free --- Length reducing decoupling steps : Eliminate q5 from e_18 and e_181. e_181: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q5,q3,p10,p6) is replaced by e_348: 3 terms, 6 factors, with derivatives of functions of all variables: (q20,q4,q3,p10,p6) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 517 2-Oct-2003 11:38:47, 40 ms (0%), 1050644 occupied, 23949303 free Eliminate q5 from e_18 and e_44. e_44: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q5,q4,p10,p6) is replaced by e_352: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q4,q3,p10,p6) 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 : --- Length reducing decoupling steps : Eliminate q5 from e_18 and e_344. e_344: 3 terms, 6 factors, with derivatives of functions of all variables: (q8,q5,q4,p10,p6) is replaced by e_356: 3 terms, 6 factors, with derivatives of functions of all variables: (q8,q4,q3,p10,p6) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 518 2-Oct-2003 11:39:04, 50 ms (0%), 1058339 occupied, 23941609 free Eliminate q22 from e_313 and e_79. e_79: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q21,q18,q12,q6,p10,p4,p1) is replaced by e_360: 5 terms, 10 factors, with derivatives of functions of all variables: (q21,q18,q12,q6,q4,p10,p4) 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 : --- Length reducing decoupling steps : Eliminate q27 from e_19 and e_263. e_263: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q22,q17,q11,p9,p5,p4,p3,p1) is replaced by e_366: 5 terms, 10 factors, with derivatives of functions of all variables: (q22,q17,q14,q11,p9,p5,p4,p3,p1) 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 519 2-Oct-2003 11:39:19, 40 ms (0%), 1051958 occupied, 23947989 free --- Length reducing decoupling steps : Eliminate q28 from e_300 and e_176. e_176: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q20,q19,q11,q7,p10,p4,p3,p1) is replaced by e_371: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q19,q18,q11,q7,p10,p3,p1) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 520 2-Oct-2003 11:39:37, 40 ms (0%), 1067842 occupied, 23932101 free Eliminate q17 from e_318 and e_149. e_149: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q17,q14,q3,p9,p6,p1) is replaced by e_372: 4 terms, 8 factors, with derivatives of functions of all variables: (q26,q14,q3,q2,p10,p9,p1) Step 292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q26 from e_377 and e_130. e_377: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q26,q25,q14,p1) is replaced by e_381: 0=(7*q14 + 5*q25)*p1 Step 294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_381 and e_130. e_130: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q26,q25,q14,p1) is replaced by e_384: 0=(2*q14 - q26)*p1 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 : --- Length reducing decoupling steps : Eliminate q26 from e_384 and e_290. e_290: 0=(4*q14 - 2*q26 - q27)*p1 is replaced by e_387: 0=p1*q27 Step 296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 521 2-Oct-2003 11:39:59, 40 ms (0%), 1052258 occupied, 23947690 free shortening by 1 term Step 299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 522 2-Oct-2003 11:40:20, 40 ms (0%), 1055740 occupied, 23944208 free --- Length reducing decoupling steps : Eliminate q27 from e_387 and e_299. e_299: 0=(4*q25 - 7*q27)*p1 is replaced by e_397: 0=p1*q25 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 : *** Garbage collection starting *** GC 523 2-Oct-2003 11:40:38, 40 ms (0%), 1051520 occupied, 23948427 free *** Garbage collection starting *** GC 524 2-Oct-2003 11:40:54, 40 ms (0%), 1053898 occupied, 23946048 free *** Garbage collection starting *** GC 525 2-Oct-2003 11:41:13, 40 ms (0%), 1055688 occupied, 23944257 free --- Length reducing decoupling steps : Eliminate q25 from e_397 and e_381. e_381: 0=(7*q14 + 5*q25)*p1 is replaced by e_417: 0=p1*q14 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 : *** Garbage collection starting *** GC 526 2-Oct-2003 11:41:34, 40 ms (0%), 1051256 occupied, 23948691 free *** Garbage collection starting *** GC 527 2-Oct-2003 11:41:55, 40 ms (0%), 1055554 occupied, 23944391 free --- Length reducing decoupling steps : Eliminate q14 from e_417 and e_384. e_384: 0=(2*q14 - q26)*p1 is replaced by e_427: 0=p1*q26 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 : *** Garbage collection starting *** GC 528 2-Oct-2003 11:42:17, 50 ms (0%), 1053592 occupied, 23946355 free --- Length reducing decoupling steps : *** Garbage collection starting *** GC 529 2-Oct-2003 11:42:39, 40 ms (0%), 1063322 occupied, 23936621 free Eliminate q3 from e_399 and e_410. e_410: 0=p6*q17 - p9*q3 is replaced by e_435: 0=p10*q2 + p6*q17 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 : --- Length reducing decoupling steps : Eliminate q3 from e_399 and e_414. e_414: 0=p5*q18 + p9*q3 is replaced by e_438: 0=p10*q2 - p5*q18 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 530 2-Oct-2003 11:42:58, 50 ms (0%), 1066130 occupied, 23933813 free Eliminate q25 from e_402 and e_168. e_168: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q17,q13,q6,q1,p9,p6,p5) is replaced by e_441: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q13,q6,q3,q1,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_447. e_447: 4 terms, 8 factors, with derivatives of functions of all variables: (q17,q15,q3,q1,p9,p6) is replaced by e_77: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q3,q2,q1,p10,p9,p6) Step 321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 531 2-Oct-2003 11:43:07, 40 ms (0%), 1048872 occupied, 23951076 free --- Length reducing decoupling steps : Eliminate q15 from e_155 and e_212. e_212: 4 terms, 8 factors, with derivatives of functions of all variables: (q15,q13,q6,q1,p9,p6,p5) is replaced by e_187: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q6,q3,q1,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q3 from e_399 and e_155. e_155: 3 terms, 6 factors, with derivatives of functions of all variables: (q15,q3,q1,p9,p6) is replaced by e_216: 3 terms, 6 factors, with derivatives of functions of all variables: (q15,q2,q1,p10,p9,p6) 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 : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 532 2-Oct-2003 11:43:15, 40 ms (0%), 1048832 occupied, 23951117 free Eliminate q3 from e_399 and e_187. e_187: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q6,q3,q1,p9,p6,p5) is replaced by e_104: 4 terms, 8 factors, with derivatives of functions of all variables: (q13,q6,q2,q1,p10,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q3 from e_399 and e_402. e_402: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q6,q3,q1,p9,p6,p5) is replaced by e_41: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q6,q2,q1,p10,p6,p5) Step 326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 533 2-Oct-2003 11:43:24, 40 ms (0%), 1050396 occupied, 23949553 free --- Length reducing decoupling steps : Eliminate q26 from e_324 and e_434. e_434: 7 terms, 14 factors, with derivatives of functions of all variables: (q26,q25,q21,q15,q8,q2,p10,p9,p5,p3) is replaced by e_293: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q21,q15,q8,q6,q2,p10,p9,p5,p3) 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 : --- Length reducing decoupling steps : Eliminate q3 from e_399 and e_419. e_419: 5 terms, 10 factors, with derivatives of functions of all variables: (q15,q14,q8,q3,p9,p5,p3) is replaced by e_221: 5 terms, 10 factors, with derivatives of functions of all variables: (q15,q14,q8,q2,p10,p9,p5,p3) Step 328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 534 2-Oct-2003 11:43:34, 30 ms (0%), 1050894 occupied, 23949054 free Eliminate q17 from e_435 and e_389. e_389: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q21,q17,q15,q8,p9,p6,p5) is replaced by e_61: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q21,q15,q8,q2,p10,p9,p5) 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 : --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_308. e_308: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q17,q15,q5,p9,p6,p3) is replaced by e_234: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q15,q5,q2,p10,p9,p3) 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 535 2-Oct-2003 11:43:44, 40 ms (0%), 1051334 occupied, 23948614 free --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_234. e_234: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q15,q5,q2,p10,p9,p3) is replaced by e_233: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q26,q5,q2,q1,p10,p9,p6,p3) 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 : --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_61. e_61: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q21,q15,q8,q2,p10,p9,p5) is replaced by e_200: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q21,q8,q2,q1,p10,p9,p6,p5) 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 536 2-Oct-2003 11:43:55, 30 ms (0%), 1051380 occupied, 23948569 free --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_221. e_221: 5 terms, 10 factors, with derivatives of functions of all variables: (q15,q14,q8,q2,p10,p9,p5,p3) is replaced by e_81: 5 terms, 10 factors, with derivatives of functions of all variables: (q14,q8,q2,q1,p10,p9,p6,p5,p3) 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 : --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_425. e_425: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q17,q14,q13,q5,p9,p6,p5,p3) is replaced by e_85: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q14,q13,q5,q2,p10,p9,p5,p3) Step 334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 537 2-Oct-2003 11:44:07, 40 ms (0%), 1051194 occupied, 23948756 free --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_424. e_424: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q17,q14,q8,q5,q1,p9,p6,p3) is replaced by e_112: 6 terms, 12 factors, with derivatives of functions of all variables: (q26,q14,q8,q5,q2,q1,p10,p9,p6,p3) Step 335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_340. e_340: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q17,q13,q6,q5,p9,p6,p5) is replaced by e_158: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q13,q6,q5,q2,p10,p9,p5) 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 538 2-Oct-2003 11:44:20, 30 ms (0%), 1052420 occupied, 23947529 free --- Length reducing decoupling steps : Eliminate q13 from e_104 and e_158. e_158: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q13,q6,q5,q2,p10,p9,p5) is replaced by e_101: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q6,q5,q2,q1,p10,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q17 from e_435 and e_426. e_426: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q17,q15,q14,q13,q8,p9,p6,p5) is replaced by e_42: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q15,q14,q13,q8,q2,p10,p9,p5) 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 539 2-Oct-2003 11:44:33, 40 ms (0%), 1052048 occupied, 23947902 free --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_42. e_42: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q15,q14,q13,q8,q2,p10,p9,p5) is replaced by e_118: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q14,q13,q8,q2,q1,p10,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q25 from e_41 and e_118. e_118: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q14,q13,q8,q2,q1,p10,p9,p6,p5) is replaced by e_53: 7 terms, 14 factors, with derivatives of functions of all variables: (q20,q14,q13,q8,q6,q2,q1,p10,p9,p6,p5) Step 340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 540 2-Oct-2003 11:44:48, 40 ms (0%), 1052838 occupied, 23947111 free --- Length reducing decoupling steps : Eliminate q13 from e_104 and e_100. e_100: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q14,q13,q8,q6,q1,p9,p6,p5) is replaced by e_345: 6 terms, 12 factors, with derivatives of functions of all variables: (q20,q14,q8,q6,q2,q1,p10,p9,p6,p5) 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 : --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_293. e_293: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q21,q15,q8,q6,q2,p10,p9,p5,p3) is replaced by e_98: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q21,q8,q6,q2,q1,p10,p9,p6,p5,p3) Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 541 2-Oct-2003 11:45:04, 40 ms (0%), 1054944 occupied, 23945005 free --- Length reducing decoupling steps : Eliminate q26 from e_85 and e_15. e_15: 7 terms, 14 factors, with derivatives of functions of all variables: (q26,q25,q20,q15,q14,p9,p5,p3) is replaced by e_181: 7 terms, 14 factors, with derivatives of functions of all variables: (q25,q20,q15,q13,q5,q2,p10,p9,p5,p3) 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 3 terms Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 542 2-Oct-2003 11:45:20, 40 ms (0%), 1052310 occupied, 23947639 free --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_349. e_349: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q15,q5,q2,p10,p9,p3) is replaced by e_79: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q5,q2,q1,p10,p9,p6,p3) Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 543 2-Oct-2003 11:45:37, 40 ms (0%), 1056214 occupied, 23943735 free --- Length reducing decoupling steps : Eliminate q15 from e_216 and e_354. e_354: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q20,q15,q13,q2,p10,p9,p5) is replaced by e_365: 5 terms, 10 factors, with derivatives of functions of all variables: (q25,q20,q13,q2,q1,p10,p9,p6,p5) 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 544 2-Oct-2003 11:45:53, 40 ms (0%), 1056880 occupied, 23943069 free --- Length reducing decoupling steps : Eliminate q20 from e_376 and e_176. e_176: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q20,q6,q1,p6,p5) is replaced by e_386: 4 terms, 8 factors, with derivatives of functions of all variables: (q25,q6,q2,q1,p10,p6,p5) Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q20 from e_376 and e_395. e_395: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q20,q2,p10,p5,p3) is replaced by e_391: 6 terms, 12 factors, with derivatives of functions of all variables: (q27,q26,q2,q1,p10,p6,p5,p3) Step 354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 545 2-Oct-2003 11:46:12, 40 ms (0%), 1057910 occupied, 23942038 free --- Length reducing decoupling steps : Eliminate q20 from e_376 and e_380. e_380: 5 terms, 10 factors, with derivatives of functions of all variables: (q20,q14,q8,q6,q1,p9,p6,p5) is replaced by e_392: 5 terms, 10 factors, with derivatives of functions of all variables: (q14,q8,q6,q2,q1,p10,p9,p6,p5) 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_111 we get the alternative equations : 0=p10 0=q1 New level : 1.1.1.1. CRACK is now called with the new equation e_428 : 0=p10 e_172,e_273,e_312,e_31,e_30,e_5,e_207,e_59,e_269,e_179,e_332,e_99 are consequences of e_428 Step 356: Hot list of urgent steps : The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13, q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p6,p5,p4,p3,p1 New ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13, q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p6,p5,p4,p3,p1,p9 e_414 is a consequence of e_3. e_168 is a consequence of e_3.e_195,e_433,e_410 are consequences of e_446 Substitution of p10 found in e_428 : p10=0 *** Garbage collection starting *** GC 546 2-Oct-2003 11:46:32, 30 ms (0%), 1036666 occupied, 23963285 free Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms Substitution of q16 found in e_201 : q16=0 Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 14 terms e_67 is a consequence of e_270. e_241 is a consequence of e_3. Substitution of q1 found in e_86 : q1=0 Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_248 is a consequence of e_3. e_189 is a consequence of e_3. Substitution of q19 found in e_270 : q19=0 Step 360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms e_146 is a consequence of e_92. e_186 is a consequence of e_159. e_155 is a consequence of e_92. Substitution of q10 found in e_12 : q10=0 Step 361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms e_443 is a consequence of e_409. e_439 is a consequence of e_116. e_319 is a consequence of e_159. e_442 is a consequence of e_446. e_54 is a consequence of e_92. e_204 is a consequence of e_92. Substitution of q4 found in e_3 : q4=0 Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_184 is a consequence of e_159. e_237 is a consequence of e_159. e_97 is a consequence of e_159. e_402 is a consequence of e_220. e_165 is a consequence of e_159. Substitution of q9 found in e_92 : q9=0 Step 363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms Substitution of q23 found in e_159 : q23=0 Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_191 is a consequence of e_230. Substitution of q22 found in e_220 : q22=0 Step 365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms e_141 is a consequence of e_409. e_197 is a consequence of e_409. e_187 is a consequence of e_409. e_434 is a consequence of e_409. e_115 is a consequence of e_409. Substitution of q21 found in e_116 : q21=0 Step 366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 7 terms e_52 is a consequence of e_194. e_458 is a consequence of e_206. Substitution of q26 found in e_163 : q26=0 Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 6 terms e_71 is a consequence of e_194. Substitution of q27 found in e_206 : q27=0 Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms Substitution of q3 found in e_431 : q3=0 Step 369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms e_419,e_436,e_440,e_217,e_457 are consequences of e_230 e_139,e_432,e_450,e_444 are consequences of e_307 e_212 is a consequence of e_230. e_456 is a consequence of e_307. e_267 is a consequence of e_230. e_24 is a consequence of e_230. e_459 is a consequence of e_455. e_223 is a consequence of e_437. Substitution of q6 found in e_409 : q6=0 Step 370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms e_466 is a consequence of e_230. e_445 is a consequence of e_307. Substitution of q28 found in e_446 : q28=0 Step 371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: An expression with 7 terms Substitution of q15 found in e_437 : q15=0 Step 372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q5 found in e_455 : q5=0 Step 373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms Substitution of q8 found in e_454 : q8=0 Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms e_43,e_208,e_397,e_441,e_448 are consequences of e_294 e_464 is a consequence of e_307. e_465 is a consequence of e_307. e_451 is a consequence of e_307. e_463 is a consequence of e_307. e_462 is a consequence of e_307. Substitution of q20 found in e_230 : q20=0 Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0038*q25 + g0039*q24 + g0046*q17 Substitution of q18 found in e_307 : q18=0 Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 5 terms e_447 is a consequence of e_452. Substitution of q13 found in e_449 : q13=0 Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0039*q24 + g0046*q17 The list of inequalities got extended by: An expression with 5 terms e_453,e_461,e_199,e_417,e_194,e_460,e_452 are consequences of e_280 e_121 is a consequence of e_280. Substitution of q25 found in e_294 : q25=0 Step 378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q14 found in e_280 : q14=0 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 : The list of inequalities got extended by: An expression with 4 terms Substitution of q12 by an expression in q17, p4, p9 found in e_131 : 3 ---*p4*q17 4 q12=------------ p9 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 : The list of inequalities got extended by: An expression with 4 terms Substitution of q11 by an expression in q17, p5, p9 found in e_164 : p5*q17 q11=-------- p9 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 : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q2 by an expression in q17, p5, p9 found in e_122 : p5*q17 q2=-------- p9 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 : The list of inequalities got extended by: An expression with 4 terms q17 The lexicographical ordering of unknowns is changed because q17 has to be non-zero, giving q17 a low priority. Old ordering: q24,q17,q7,p6,p5,p4,p3,p1,p9 New ordering: q24,q7,q17,p6,p5,p4,p3,p1,p9 Substitution of q7 by an expression in q17, p1, p9 found in e_152 : p1*q17 q7=-------- p9 Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of p6 found in e_430 : p6=0 Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms e_196 is a consequence of e_325.e_327 is a consequence of e_77 e_334 is a consequence of e_77. Substitution of p5 by an expression in p3 found in e_105 : p5=p3 Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms The list of inequalities got extended by: g0015*p3 + g0016*p4 + g0017*p3 Substitution of p1 found in e_77 : p1=0 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 : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_14 we get the alternative equations : 0=q24 0=p4 New level : 1.1.1.1.1. CRACK is now called with the new equation e_234 : 0=q24 e_325 is a consequence of e_234 Step 387: Hot list of urgent steps : Substitution of q24 found in e_234 : q24=0 >>>>>>>>> Solution of level 1.1.1.1.1. : no equations Non-vanishing expressions: q17,p9 2 g0006*p9*q17 + g0010*p3*q17 + g0012*p9 + g0013*p3*p9 3*g0023*p4 + 4*g0024*p3 + 4*g0033*p3 g0015*p3 + g0016*p4 + g0017*p3 functions : q28=0 q27=0 q26=0 q25=0 q24=0 q23=0 q22=0 q21=0 q20=0 q19=0 q18=0 q17, q16=0 q15=0 q14=0 q13=0 3 ---*p4*q17 4 q12=------------ p9 p3*q17 q11=-------- p9 q10=0 q9=0 q8=0 q7=0 q6=0 q5=0 q4=0 q3=0 p3*q17 q2=-------- p9 q1=0 p10=0 p9, p8=0 p7=0 p6=0 p5=p3 p4, p3, p2=0 p1=0 with 42 terms no equations 4 constants : p3,p4,p9,q17 The system: 

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

          3                             2
b(2) =b(1) *p4 + Db(1) *Db(1)*p3 + b(1)  *p3
    t                 x                x
The symmetry: 
b(1) =Db(2)*Db(1)*b(1)*q17
    s

        3      4                                          2
       ---*b(1) *p4*q17 + Db(1) *Db(1)*b(1)*p3*q17 + b(1)  *b(1)*p3*q17
        4                      x                         x
b(2) =------------------------------------------------------------------
    s                                 p9
And now in machine readable form:

The system: 

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

df(b(2),t)=b(1)**3*p4 + d(1,df(b(1),x))*d(1,b(1))*p3 + df(b(1),x)**2*p3$
The symmetry: 
df(b(1),s)=d(1,b(2))*d(1,b(1))*b(1)*q17$

df(b(2),s)=(3/4*b(1)**4*p4*q17 + d(1,df(b(1),x))*d(1,b(1))*b(1)*p3*q17 + df(b(1)
,x)**2*b(1)*p3*q17)/p9$

Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

q24


New level : 1.1.1.1.2.
CRACK is now called with the new equation e_234 : 
0=p4


Step 388: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

p3


Substitution of p4 found in e_234 : 
p4=0


Step 389: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p3=0

because of the non-vanishing expression:
p3


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 70 ms

The list of inequalities got extended by: 

p10

The lexicographical ordering of unknowns is changed
because p10 has to be non-zero, giving p10 a low priority.
Old ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p6,p5,p4,p3,p1
New ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p9,p6,p5,p4,p3,p1,p10

New level : 1.1.1.2.
CRACK is now called with the new equation e_428 : 
0=q1

e_86 is a consequence of e_428

Step 390: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 15 terms

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

Substitution of q1 found in e_428 : 
q1=0


Step 391: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

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

Substitution of q13 found in e_207 : 
q13=0


Step 392: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

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

Substitution of q15 found in e_59 : 
q15=0


Step 393: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

e_186 is a consequence of e_332.
e_225 is a consequence of e_99.
e_43 is a consequence of e_332.
e_164 is a consequence of e_179.
Substitution of q9 found in e_269 : 
q9=0


Step 394: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

e_267 is a consequence of e_332.
Substitution of q10 found in e_179 : 
q10=0


Step 395: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

e_155 is a consequence of e_204.
e_105 is a consequence of e_204.
Substitution of q23 found in e_332 : 
q23=0


Step 396: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

Substitution of q22 found in e_99 : 
q22=0


Step 397: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

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

Substitution of q2 found in e_447 : 
q2=0


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

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

e_387 is a consequence of e_417.
e_129 is a consequence of e_199.
e_19 is a consequence of e_77.
Substitution of q27 by an expression in 
q14 found in e_31 : 
q27= - 3*q14


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

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

e_397 is a consequence of e_417.
e_103 is a consequence of e_199.
Substitution of q25 by an expression in 
q14 found in e_30 : 
q25= - 2*q14


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

e_262 is a consequence of e_430.
e_256 is a consequence of e_3.
e_424 is a consequence of e_204.
e_212 is a consequence of e_248.
Substitution of q19 by an expression in 
q4 found in e_5 : 
q19=q4


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

Substitution of q18 by an expression in 
q6, q4 found in e_273 : 
q18=q4 + 3*q6


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

e_193 is a consequence of e_204.
Substitution of q21 by an expression in 
q6, q4 found in e_312 : 
q21=3*q4 + q6


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

Substitution of q20 by an expression in 
q6, q4 found in e_172 : 
q20=3*q4 + 4*q6


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

Substitution of q16 by an expression in 
q28, p6, p10 found in e_11 : 
     p6*q28
q16=--------
      p10


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

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

Substitution of q17 by an expression in 
q6, p9, p10 found in e_329 : 
     p9*q6
q17=-------
      p10


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

Substitution of q3 by an expression in 
q28, p1, p10 found in e_157 : 
     9
    ---*p1*q28
     7
q3=------------
       p10


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 : 
*** Garbage collection starting 
*** GC 547  2-Oct-2003 11:46:36, 40 ms (0%), 1050849 occupied, 23949103 free

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

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

Substitution of q26 by an expression in 
q28, q14, p9, p10 found in e_32 : 
     p10*q14 - p9*q28
q26=------------------
           p10


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

e_56 is a consequence of e_333.
Substitution of q7 by an expression in 
q6, q4, p1, p10 found in e_315 : 10 factors in 3 terms

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

Substitution of q12 by an expression in 
q6, q4, p4, p10 found in e_313 : 10 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 13 terms

Substitution of q11 by an expression in 
q6, q4, p3, p10 found in e_339 : 8 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 14 terms

Substitution of q8 by an expression in 
q28, q4, p6, p1, p10 found in e_356 : 10 factors in 3 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 : 
The list of inequalities got extended by: 
An expression with 15 terms

Substitution of q5 by an expression in 
q28, q4, p6, p1, p10 found in e_18 : 10 factors in 3 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 1 term

Step 414: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 415: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 416: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 417: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 418: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 419: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 420: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 421: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 422: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 423: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 424: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 425: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 426: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 427: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 428: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 429: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 430: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 431: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 432: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 433: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 434: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 435: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 436: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_201,e_399 are consequences of e_329

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

e_157 is a consequence of e_77.
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

e_421 is a consequence of e_329.
Step 443: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 444: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 445: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 446: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 447: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_56 is a consequence of e_77.
Step 448: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_315 is a consequence of e_199.
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

e_67 is a consequence of e_417.
Step 450: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 451: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_59 is a consequence of e_329.
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_194 is a consequence of e_329.
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_313 is a consequence of e_329.
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_225 is a consequence of e_329.
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_267 is a consequence of e_131.
Step 457: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 458: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 459: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_334 is a consequence of e_131.
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

e_63 is a consequence of e_77.
Step 463: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 464: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 465: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_234 is a consequence of e_3.
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

e_387 is a consequence of e_307.
Step 467: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 468: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 469: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 470: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_102 is a consequence of e_52.
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

e_140 is a consequence of e_52.
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_380 is a consequence of e_221

Step 473: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 474: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_300 is a consequence of e_221.
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

e_425 is a consequence of e_221.
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 2 terms

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
e_52 is a consequence of e_371

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

e_455 is a consequence of e_371.
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

e_355 is a consequence of e_371.
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 :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 548  2-Oct-2003 11:46:39, 40 ms (0%), 1048172 occupied, 23951779 free
Eliminate 
q4

from e_44 and e_10. e_10: 

0=(11*q4 + 3*q6)*p1

is replaced by e_344: 

0=p1*q6


e_344 is a consequence of e_333.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_371 and e_212. e_212: 

0=(6*q4 + 5*q6)*p3

is replaced by e_155: 

0=p3*q4


e_155 is a consequence of e_424.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_221 and e_311. e_311: 

0=(q4 - q6)*p6

is replaced by e_193: 

0=p6*q4


e_193 is a consequence of e_310.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q14

from e_401 and e_197. e_197: 

0=(2*q14 - q6)*p5

is replaced by e_312: 

0=p5*q6


e_312 is a consequence of e_131.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q14

from e_206 and e_61. e_61: 

0=(q14 - 3*q4)*p9

is replaced by e_357: 

0=p9*q4


e_357 is a consequence of e_3.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_131 and e_223. e_223: 

0=(3*q4 + q6)*p5

is replaced by e_246: 

0=p5*q4


e_246 is a consequence of e_430.
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 : Eliminate 
q6

from e_131 and e_447. e_447: 

0=(8*q4 + 7*q6)*p5

is replaced by e_359: 

0=p5*q4


e_359 is a consequence of e_430.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_131 and e_339. e_339: 

0=(3*q4 + 2*q6)*p5

is replaced by e_349: 

0=p5*q4


e_349 is a consequence of e_430.
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 : A length reducing simplification (27
) was prevented
to avoid a cycle.
Eliminate 
q6

from e_131 and e_438. e_438: 

0=(q4 + 3*q6)*p5

is replaced by e_210: 

0=p5*q4


e_210 is a consequence of e_430.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_204 and e_360. e_360: 

0=(3*q4 - 7*q6)*p4

is replaced by e_362: 

0=p4*q6

e_30 is a consequence of e_362

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 
q6

from e_362 and e_323. e_323: 

0=(q4 - q6)*p4

is replaced by e_363: 

0=p4*q4


e_363 is a consequence of e_204.
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 
q6

from e_362 and e_282. e_282: 

0=(q4 + q6)*p4

is replaced by e_364: 

0=p4*q4


e_364 is a consequence of e_204.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_362 and e_330. e_330: 

0=(3*q4 + 4*q6)*p4

is replaced by e_352: 

0=p4*q4


e_352 is a consequence of e_204.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_430 and e_237. e_237: 

0=(3*q4 + 4*q6)*p5

is replaced by e_263: 

0=p5*q6


e_263 is a consequence of e_131.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_3 and e_230. e_230: 

0=(q4 + q6)*p9

is replaced by e_367: 

0=p9*q6


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 : Eliminate 
q6

from e_367 and e_116. e_116: 

0=p9*(3*q4 + q6)

is replaced by e_369: 

0=p9*q4


e_369 is a consequence of e_3.
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 
q6

from e_367 and e_307. e_307: 

0=(q4 + 2*q6)*p9

is replaced by e_370: 

0=p9*q4


e_370 is a consequence of e_3.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_367 and e_294. e_294: 
(#) 3 terms, 4 factors, with derivatives of functions of all variables: 

 (q14,q6,q4,p9)

is replaced by e_184: 

0=(4*q14 + 3*q4)*p9


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 :  --- 
Length reducing decoupling steps : Eliminate 
q14

from e_206 and e_184. e_184: 

0=(4*q14 + 3*q4)*p9

is replaced by e_105: 

0=p9*q4


e_105 is a consequence of e_3.
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 :  --- 
Length reducing decoupling steps : Eliminate 
q14

from e_401 and e_260. e_260: 
(#) 3 terms, 4 factors, with derivatives of functions of all variables: 

 (q14,q6,q4,p5)

is replaced by e_375: 

0=(3*q4 + 10*q6)*p5


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 
q6

from e_131 and e_375. e_375: 

0=(3*q4 + 10*q6)*p5

is replaced by e_378: 

0=p5*q4


e_378 is a consequence of e_430.
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 :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_44 we get the alternative equations : 
0=q4


0=p1


New level : 1.1.1.2.1.
CRACK is now called with the new equation e_395 : 
0=q4

e_248,e_189,e_336,e_3,e_430,e_204,e_310,e_424 are consequences of e_395

Step 507: 
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 9 terms

Substitution of q4 found in e_395 : 
q4=0


Step 508: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_417 we get the alternative equations : 
0=q14


0=p1


New level : 1.1.1.2.1.1.
CRACK is now called with the new equation e_412 : 
0=q14

e_199,e_77,e_206,e_401,e_241 are consequences of e_412

Step 509: 
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

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

Substitution of q14 found in e_412 : 
q14=0


Step 510: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_333 we get the alternative equations : 
0=q6


0=p1


New level : 1.1.1.2.1.1.1.
CRACK is now called with the new equation e_56 : 
0=q6

e_131,e_221,e_371,e_362,e_367 are consequences of e_56

Step 511: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 3 terms

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

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

q28

The lexicographical ordering of unknowns is changed
because q28 has to be non-zero, giving q28 a low priority.
Old ordering: q28,q24,q6,p9,p6,p5,p4,p3,p1,p10
New ordering: q24,q6,q28,p9,p6,p5,p4,p3,p1,p10

Substitution of q6 found in e_56 : 
q6=0


Step 512: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

The list of inequalities got extended by: 

g0004*q28 - g0012*p10


p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q24,q28,p9,p6,p5,p4,p3,p1,p10
New ordering: q24,q28,p6,p5,p4,p3,p1,p9,p10

Substitution of p5 found in e_195 : 
p5=0


Step 513: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p9=0

because of the non-vanishing expression:
p9


Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

q6


New level : 1.1.1.2.1.1.2.
CRACK is now called with the new equation e_56 : 
0=p1

e_327,e_393 are consequences of e_56

Step 514: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 4 terms

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

e_205 is a consequence of e_371.
Substitution of p1 found in e_56 : 
p1=0


Step 515: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0004*q28 - g0006*q6 - g0012*p10


p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q28,q24,q6,p9,p6,p5,p4,p3,p10
New ordering: q28,q24,q6,p6,p5,p4,p3,p9,p10

The list of inequalities got extended by: 

g0014*p6 + g0016*p4 + g0017*p3


Substitution of p5 found in e_131 : 
p5=0


Step 516: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 3 terms

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

The list of inequalities got extended by: 

g0006*q6 + g0012*p10


Substitution of q28 found in e_329 : 
q28=0


Step 517: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0016*p4 + g0017*p3


Substitution of p6 found in e_221 : 
p6=0


Step 518: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

9*g0023*p4 + 4*g0029*p10


The list of inequalities got extended by: 

p4

The lexicographical ordering of unknowns is changed
because p4 has to be non-zero, giving p4 a low priority.
Old ordering: q24,q6,p4,p3,p9,p10
New ordering: q24,q6,p3,p4,p9,p10

Substitution of p3 found in e_371 : 
p3=0


Step 519: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

Substitution of q24 found in e_14 : 
q24=0


Step 520: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p4=0

because of the non-vanishing expression:
p4


The list of inequalities got extended by: 

p10


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 0 ms

The list of inequalities got extended by: 

q14

The lexicographical ordering of unknowns is changed
because q14 has to be non-zero, giving q14 a low priority.
Old ordering: q28,q24,q14,q6,p9,p6,p5,p4,p3,p1,p10
New ordering: q28,q24,q6,q14,p9,p6,p5,p4,p3,p1,p10

New level : 1.1.1.2.1.2.
CRACK is now called with the new equation e_412 : 
0=p1

e_327,e_333,e_393 are consequences of e_412

Step 521: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 4 terms

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

e_56 is a consequence of e_241.
Substitution of p1 found in e_412 : 
p1=0


Step 522: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0015*p5 + g0016*p4 + g0017*p3


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

Substitution of p6 found in e_199 : 
p6=0


Step 523: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0015*p5 + g0017*p3


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

Substitution of p4 found in e_77 : 
p4=0


Step 524: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

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

Substitution of p9 found in e_206 : 
p9=0


Step 525: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p3


Substitution of p5 found in e_401 : 
p5=0


Step 526: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

Substitution of q24 found in e_325 : 
q24=0


Step 527: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p3=0

because of the non-vanishing expression:
p3


The list of inequalities got extended by: 

g0021*q14 + g0029*q6


p10


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: 

q4


New level : 1.1.1.2.2.
CRACK is now called with the new equation e_395 : 
0=p1

e_327,e_417,e_333,e_393 are consequences of e_395

Step 528: 
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 10 terms

e_412 is a consequence of e_424.
e_56 is a consequence of e_424.e_325,e_241,e_371 are consequences of e_56

e_205 is a consequence of e_424.
e_315 is a consequence of e_424.
Substitution of p1 found in e_395 : 
p1=0


Step 529: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

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

Substitution of p9 found in e_3 : 
p9=0


Step 530: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0014*p6 + g0016*p4 + g0017*p3


The list of inequalities got extended by: 

q14

The lexicographical ordering of unknowns is changed
because q14 has to be non-zero, giving q14 a low priority.
Old ordering: q28,q24,q14,q6,q4,p6,p5,p4,p3,p10
New ordering: q28,q24,q6,q14,q4,p6,p5,p4,p3,p10

Substitution of p5 found in e_430 : 
p5=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 7 terms

The list of inequalities got extended by: 

g0016*p4 + g0017*p3


Substitution of p6 found in e_199 : 
p6=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 5 terms

The list of inequalities got extended by: 

p3


Substitution of p4 found in e_204 : 
p4=0


Step 533: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p3=0

because of the non-vanishing expression:
p3


This completes the investigation of all cases of a factorization.

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: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p7,p6,p5,p4,p3,p1
New ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p6,p5,p4,p3,p1,p7

New level : 1.1.2.
CRACK is now called with the new equation e_53 : 
0=q4

e_3 is a consequence of e_53

Step 534: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 15 terms

e_99 is a consequence of e_158.
e_122 is a consequence of e_158.
e_225 is a consequence of e_158.
e_157 is a consequence of e_44.
Substitution of q4 found in e_53 : 
q4=0


Step 535: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

e_337 is a consequence of e_158.
Substitution of q1 found in e_44 : 
q1=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: 
An expression with 11 terms

e_330 is a consequence of e_85.
Substitution of q19 found in e_158 : 
q19=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 10 terms

Substitution of q24 found in e_112 : 
q24=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 13 terms

e_73 is a consequence of e_262.
e_37 is a consequence of e_341.
e_336 is a consequence of e_341.
e_282 is a consequence of e_341.
e_227 is a consequence of e_341.
e_249 is a consequence of e_262.
e_339 is a consequence of e_262.
Substitution of q9 found in e_85 : 
q9=0


Step 539: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

Substitution of q21 found in e_18 : 
q21=0


Step 540: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

e_89 is a consequence of e_341.
e_131 is a consequence of e_341.
Substitution of q10 found in e_262 : 
q10=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 8 terms

Substitution of q23 found in e_341 : 
q23=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 7 terms

Substitution of q22 found in e_1 : 
q22=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 9 terms

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

e_130 is a consequence of e_338.
e_329 is a consequence of e_162.
Substitution of q17 found in e_210 : 
q17=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 11 terms

Substitution of q12 found in e_338 : 
q12=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 10 terms

e_345 is a consequence of e_56.e_201 is a consequence of e_343
e_195 is a consequence of e_161

e_146 is a consequence of e_161.
e_204 is a consequence of e_161.
Substitution of q6 found in e_162 : 
q6=0


Step 546: 
Hot list 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_115 is a consequence of e_187.
e_267 is a consequence of e_343.
Substitution of q20 found in e_42 : 
q20=0


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 9 terms

Substitution of q3 found in e_340 : 
q3=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 8 terms

e_197 is a consequence of e_161.
e_346 is a consequence of e_308.
e_58 is a consequence of e_161.
Substitution of q16 found in e_343 : 
q16=0


Step 549: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

e_47 is a consequence of e_308.
Substitution of q28 found in e_161 : 
q28=0


Step 550: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

e_137 is a consequence of e_308.
e_326 is a consequence of e_308.
e_184 is a consequence of e_308.
e_198 is a consequence of e_308.
*** Garbage collection starting 
*** GC 549  2-Oct-2003 11:46:42, 50 ms (0%), 1049533 occupied, 23950415 free

Substitution of q8 found in e_78 : 
q8=0


Step 551: 
Hot list 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 q5 found in e_308 : 
q5=0


Step 552: 
Hot list 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_2 is a consequence of e_278.e_278 is a consequence of e_33

e_176 is a consequence of e_33.
Substitution of q11 by an expression in 
q7 found in e_224 : 
q11= - q7


Step 553: 
Hot list 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_48 is a consequence of e_56.
e_24 is a consequence of e_98.
e_186 is a consequence of e_98.
e_194 is a consequence of e_56.
e_155 is a consequence of e_168.
Substitution of q7 found in e_33 : 
q7=0


Step 554: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

e_100 is a consequence of e_30.
Substitution of q27 by an expression in 
q25, q14 found in e_118 : 
q27= - q14 + q25


Step 555: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

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

e_36 is a consequence of e_168.
e_88 is a consequence of e_168.
Substitution of q2 by an expression in 
q14, p4, p7 found in e_313 : 
     - 4*p4*q14
q2=-------------
        p7


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

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

e_44 is a consequence of e_168.
Substitution of q13 by an expression in 
q14, p10, p4, p7 found in e_105 : 
      - 5*p10*p4*q14
q13=-----------------
             2
           p7


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

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

e_141 is a consequence of e_187.
e_248 is a consequence of e_98.
Substitution of q26 by an expression in 
q18, q14, p9, p7 found in e_251 : 
     p7*q14 - p9*q18
q26=-----------------
           p7


Step 558: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 559: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 560: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 561: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 562: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 563: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 564: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 565: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 566: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 567: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_195 is a consequence of e_56.
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 : 
The list of inequalities got extended by: 
An expression with 5 terms

q14


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

Substitution of q15 by an expression in 
q14, p10, p4, p1, p7 found in e_197 : 12 factors in 3 terms

Step 573: 
Hot list 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_199 : 
p6=0


Step 574: 
Hot list 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: 

2*g0020*p1 + 3*g0021*p7


The list of inequalities got extended by: 

g0015*p5 + g0017*p3 + g0018*p1

e_98,e_146 are consequences of e_162

e_346 is a consequence of e_162.
e_58 is a consequence of e_162.
e_161 is a consequence of e_162.
e_176 is a consequence of e_267.
Substitution of p4 found in e_168 : 
p4=0


Step 575: 
Hot list 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: 

g0015*p5 + g0017*p3

e_224,e_314,e_267,e_2 are consequences of e_1
e_77 is a consequence of e_131

e_186 is a consequence of e_131.
e_24 is a consequence of e_1.
e_97 is a consequence of e_1.
e_159 is a consequence of e_131.
e_47 is a consequence of e_1.
e_137 is a consequence of e_1.
Substitution of p1 found in e_162 : 
p1=0


Step 576: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

The list of inequalities got extended by: 

p3


The list of inequalities got extended by: 

p5


Substitution of p5 found in e_1 : 
p5=0


leads to a contradiction in : 
0=4*p3 - p5


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 100 ms

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8,p7,p6,p5,p4,p3,p1
New ordering: q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,
q12,q11,q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p7,p6,p5,p4,p3,p1,p8

New level : 1.2.
CRACK is now called with the new equation e_342 : 
0=q19

e_114,e_270 are consequences of e_342

Step 577: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 11 terms

Substitution of q19 found in e_342 : 
q19=0


Step 578: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

e_61 is a consequence of e_77.
e_192 is a consequence of e_77.
Substitution of q26 found in e_224 : 
q26=0


Step 579: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

e_121 is a consequence of e_1.e_42 is a consequence of e_222

Substitution of q21 found in e_77 : 
q21=0


Step 580: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

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

e_281 is a consequence of e_222.
Substitution of q27 found in e_1 : 
q27=0


Step 581: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

Substitution of q20 by an expression in 
q6 found in e_222 : 
q20=q6


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

e_179 is a consequence of e_269.
Substitution of q10 by an expression in 
q9, p7, p8 found in e_51 : 
      1
     ---*p7*q9
      6
q10=-----------
        p8


***** PREMATURE STOP DUE TO TIME CONSTRAINT! 

Time: 920 ms

4: 
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5: 5: 
n

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6: 
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7: Do you want to merge solutions computed in this session,
i.e. since loading CRACK the last time?  (Y or N) ***** `bu603-2-Oct-sol_list' cannot be open for input

Time: 0 ms

8: This is a reminder for you to read in any file CRACK_OUT.RED
with a procedure CRACK_OUT() in case that is necessary to display
results following from solutions to be printed.

Do you want to print solutions computed in this session,
i.e. since loading CRACK the last time?  (Y or N) 
***** `bu603-2-Oct-sol_list' cannot be open for input

Time: 0 ms

9: 9: 9: 9: 
y /home/twolf/public_html/htdocs/susy/N1t7s11b4+5/N1t7s11b4+5 N1t7s11b4+5 bye$$$
$

***** Missing operator 

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*** End-of-file read 

Quitting