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: "bu698-2-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 N1f0b2t7s13w45. ####### 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)*b(1) *q41 + Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*q42 s x 3x + Db(2) *Db(1) *q44 + Db(2) *Db(1)*b(1)*q30 - Db(2) *Db(1) *q45 2x x x x 2x + Db(1) *Db(2)*q43 + Db(1) *Db(2)*b(1)*q28 + Db(1) *Db(1)*b(2)*q29 3x x x 2 + b(2) *q46 + b(2) *b(1)*q31 + b(2) *b(1) *q33 + b(2) *b(1) *q36 6x 4x 3x x 2x 2 + b(2) *b(1) *q35 + b(2) *b(2) *q39 + b(2) *b(1) *q34 + b(2) *b(1) *b(1)*q38 2x 2x x x 3x x x 2 + b(1) *b(2)*q32 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 4x 2x x 2 2 b(2) =b(2) *b(1) *q21 + Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*q23 s x 3x + Db(2) *Db(2) *q25 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 2x x x x + Db(1) *Db(1)*q22 + Db(1) *Db(1) *q24 + Db(1) *Db(1)*b(1)*q6 4x 3x x 2x + Db(1) *Db(2)*b(2)*q2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*q8 x x x 4x 2 2 + b(2) *b(2) *q10 + b(2) *q14 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 3x x 2x 2x x + b(2) *b(1) *b(2)*q17 + b(1) *q26 + b(1) *b(1)*q7 + b(1) *b(1) *q9 x x 7x 5x 4x x 2 2 + b(1) *b(1) *q12 + b(1) *b(1) *q11 + b(1) *b(2) *q16 3x 3x 2x 2x 3 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 + b(1) *b(1) *q19 2x x x x {q45,q44,q43,q42,q30,q29,q28,q27,q25,q24,q23,q22,q6,q5,q4,q3,q2,q1,p9,p5} {p6,p5,p4,p3,p1} {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} {q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,q29,q28,q27 } {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)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x Generating all terms of total degree 3 Pairing now degree 1 terms from the system with degree 2 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=Db(2) *Db(1)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 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)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x Generating all terms of total degree 4 Pairing now degree 1 terms from the system with degree 3 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 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)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 2x *** Garbage collection starting *** GC 1 2-Oct-2003 12:49:09, 20 ms (0%), 930866 occupied, 24069086 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)=q46*b(2) 6x df(b(2),s)=q26*b(1) 7x *** Garbage collection starting *** GC 2 2-Oct-2003 12:49:27, 30 ms (0%), 958322 occupied, 24041629 free Generating all terms of total degree 5 Pairing now degree 1 terms from the system with degree 4 terms from the symmetry df(b(1),t)=p10*b(2) 3x df(b(2),t)=p6*b(1) 4x 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x *** Garbage collection starting *** GC 3 2-Oct-2003 12:49:42, 20 ms (0%), 938052 occupied, 24061900 free Pairing now degree 2 terms from the system with degree 3 terms from the symmetry df(b(1),t)=Db(2)*Db(1)*p9 + b(2) *b(1)*p7 + b(1) *b(2)*p8 x x 2 df(b(2),t)=Db(1) *Db(1)*p5 + b(2) *b(2)*p2 + b(1) *b(1)*p1 + b(1) *p3 x x 2x x df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 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)*q42 + Db(2) *Db(1) *q44 - Db(2) *Db(1) *q45 3x 2x x x 2x + Db(1) *Db(2)*q43 + b(2) *b(1)*q31 + b(2) *b(1) *q33 3x 4x 3x x + b(2) *b(1) *q35 + b(2) *b(1) *q34 + b(1) *b(2)*q32 2x 2x x 3x 4x df(b(2),s)=Db(2) *Db(2)*q23 + Db(2) *Db(2) *q25 + Db(1) *Db(1)*q22 3x 2x x 4x + Db(1) *Db(1) *q24 + b(2) *b(2)*q8 + b(2) *b(2) *q10 3x x 4x 3x x 2 + b(2) *q14 + b(1) *b(1)*q7 + b(1) *b(1) *q9 + b(1) *b(1) *q11 2x 5x 4x x 3x 2x *** Garbage collection starting *** GC 4 2-Oct-2003 12:49:52, 30 ms (0%), 980816 occupied, 24019135 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 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x Pairing now degree 3 terms from the system with degree 3 terms from the symmetry df(b(1),t)=0 3 df(b(2),t)=b(1) *p4 df(b(1),s)=Db(2)*Db(1)*b(1) *q27 + Db(2) *Db(1)*b(1)*q30 + Db(1) *Db(2)*b(1)*q28 x x x 2 2 + Db(1) *Db(1)*b(2)*q29 + b(2) *b(1) *q36 + b(2) *b(2) *q39 x 2x x 2 + b(2) *b(1) *b(1)*q38 + b(1) *b(2)*b(1)*q37 + b(1) *b(2)*q40 x x 2x x df(b(2),s)=Db(2)*Db(1)*b(2) *q1 + Db(2) *Db(2)*b(1)*q4 + Db(2) *Db(1)*b(2)*q5 x x x + Db(1) *Db(1)*b(1)*q6 + Db(1) *Db(2)*b(2)*q2 2x x 2 + Db(1) *Db(1)*b(1) *q3 + b(2) *b(2)*b(1)*q13 + b(2) *b(1)*q18 x x 2x x 2 2 + b(2) *b(1) *b(2)*q17 + b(1) *b(1) *q12 + b(1) *b(2) *q16 x x 3x 2x 3 + b(1) *b(1) *b(1)*q15 + b(1) *q20 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 3 df(b(1),s)=b(2)*b(1) *q41 2 2 df(b(2),s)=b(1) *(b(2) *q21 + b(1) *b(1)*q19) x *** Garbage collection starting *** GC 5 2-Oct-2003 12:50:31, 30 ms (0%), 1035890 occupied, 23964062 free 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 20 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 26 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 4 terms *** Garbage collection starting *** GC 6 2-Oct-2003 12:50:58, 30 ms (0%), 1000345 occupied, 23999606 free *** Garbage collection starting *** GC 7 2-Oct-2003 12:51:02, 20 ms (0%), 989693 occupied, 24010259 free *** Garbage collection starting *** GC 8 2-Oct-2003 12:51:10, 30 ms (0%), 1079897 occupied, 23920054 free *** Garbage collection starting *** GC 9 2-Oct-2003 12:51:18, 40 ms (0%), 1167505 occupied, 23832447 free *** Garbage collection starting *** GC 10 2-Oct-2003 12:51:28, 30 ms (0%), 1021215 occupied, 23978736 free *** Garbage collection starting *** GC 11 2-Oct-2003 12:51:33, 30 ms (0%), 1059611 occupied, 23940341 free *** Garbage collection starting *** GC 12 2-Oct-2003 12:51:38, 40 ms (0%), 1116275 occupied, 23883676 free *** Garbage collection starting *** GC 13 2-Oct-2003 12:51:45, 30 ms (0%), 1034251 occupied, 23965701 free *** Garbage collection starting *** GC 14 2-Oct-2003 12:51:54, 30 ms (0%), 1056689 occupied, 23943262 free *** Garbage collection starting *** GC 15 2-Oct-2003 12:52:02, 40 ms (0%), 1104981 occupied, 23894971 free *** Garbage collection starting *** GC 16 2-Oct-2003 12:52:11, 40 ms (0%), 1151205 occupied, 23848746 free *** Garbage collection starting *** GC 17 2-Oct-2003 12:52:20, 50 ms (0%), 1194379 occupied, 23805573 free *** Garbage collection starting *** GC 18 2-Oct-2003 12:52:35, 30 ms (0%), 1019381 occupied, 23980571 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(1) *b(2)*Db(1)*Db(2) 3 b(1) *Db(1)*Db(1) x 3 b(1) *b(2)*b(2) x 4 b(1) *b(1) 2x 3 2 b(1) *b(1) x 2 2 b(1) *b(2) *b(1) x Separation of e_3 yields (e_18 e_13 e_15 e_17 e_16 e_14) Step 2: separation w.r.t. x linear independent expressions : 2 b(1)*b(2) *Db(1)*Db(2) 2 b(1) *b(1) *Db(1)*Db(2) x 3 b(1) *Db(1)*Db(2) x 3 b(1) *Db(2)*Db(1) x 2 b(1) *b(2)*Db(1)*Db(1) x 4 b(1) *b(2) 2x 2 2 b(1) *b(2) *b(2) x 3 b(1) *b(1) *b(2) x x 3 b(1) *b(2)*b(1) 2x 2 2 b(1) *b(2)*b(1) x 3 b(1)*b(2) *b(1) x *** Garbage collection starting *** GC 19 2-Oct-2003 12:52:38, 40 ms (0%), 1023785 occupied, 23976166 free Separation of e_4 yields (e_29 e_19 e_23 e_24 e_28 e_27 e_26 e_25 e_21 e_22 e_20 ) e_29 is a consequence of e_18. Step 3: separation w.r.t. x linear independent expressions : Db(2)*Db(2) 6x Db(2) *Db(2) x 5x Db(2) *Db(2) 2x 4x Db(1)*Db(1) 7x Db(1) *Db(1) x 6x Db(1) *Db(1) 2x 5x Db(1) *Db(1) 3x 4x b(2)*b(2) 7x b(2) *b(2) x 6x b(2) *b(2) 2x 5x b(2) *b(2) 3x 4x b(1)*b(1) 8x b(1) *b(1) x 7x b(1) *b(1) 2x 6x b(1) *b(1) 3x 5x 2 b(1) 4x Separation of e_9 yields (e_44 e_43 e_45 e_42 e_41 e_40 e_39 e_38 e_34 e_37 e_36 e_30 e_35 e_33 e_32 e_31) Step 4: separation w.r.t. x linear independent expressions : Db(1)*Db(2) 7x Db(1) *Db(2) x 6x Db(1) *Db(2) 2x 5x Db(1) *Db(2) 3x 4x Db(1) *Db(2) 4x 3x Db(1) *Db(2) 5x 2x Db(1) *Db(2) 6x x Db(2)*Db(1) 7x b(1)*b(2) 8x b(1) *b(2) x 7x b(1) *b(2) 2x 6x b(1) *b(2) 3x 5x b(1) *b(2) 4x 4x b(1) *b(2) 5x 3x b(1) *b(2) 6x 2x b(1) *b(2) 7x x b(2)*b(1) 8x *** Garbage collection starting *** GC 20 2-Oct-2003 12:52:40, 30 ms (0%), 1029693 occupied, 23970259 free Separation of e_10 yields (e_55 e_62 e_60 e_56 e_54 e_46 e_61 e_57 e_59 e_53 e_48 e_47 e_58 e_52 e_51 e_49 e_50) e_62 is a consequence of e_42. e_54 is a consequence of e_34. Step 5: separation w.r.t. x linear independent expressions : b(1)*b(2) *Db(1)*Db(2) 2x b(1) *b(2) *Db(1)*Db(2) x x b(2)*b(1) *Db(1)*Db(2) 2x 2 b(1) *Db(2)*Db(2) 2x b(1)*b(2)*Db(1)*Db(2) 2x 2 b(2) *Db(2)*Db(2) x b(1)*b(1) *Db(2)*Db(2) x x b(1)*b(2) *Db(1)*Db(2) x x b(2)*b(1) *Db(1)*Db(2) x x b(1)*b(2)*Db(1) *Db(2) x x 2 b(1) *Db(1)*Db(1) 3x b(1)*b(2)*Db(2)*Db(1) 2x 2 b(2) *Db(1)*Db(1) 2x b(1)*b(1) *Db(1)*Db(1) x 2x 2 b(1) *Db(1) *Db(1) x 2x b(1)*b(2) *Db(2)*Db(1) x x b(2)*b(1) *Db(2)*Db(1) x x b(2)*b(2) *Db(1)*Db(1) x x b(1)*b(1) *Db(1)*Db(1) 2x x 2 b(1) *Db(1)*Db(1) x x 2 b(1) *b(2)*b(2) 3x 3 b(2) *b(2) 2x 2 b(1) *b(2) *b(2) x 2x b(1)*b(2)*b(1) *b(2) x 2x 2 2 b(2) *b(2) x 2 b(1)*b(1) *b(2) x x b(1)*b(2)*b(1) *b(2) 2x x 2 b(2)*b(1) *b(2) x x 3 b(1) *b(1) 4x 2 b(1)*b(2) *b(1) 3x 2 b(1) *b(1) *b(1) x 3x 2 2 b(1) *b(1) 2x 2 b(1)*b(1) *b(1) x 2x 2 b(2) *b(1) *b(1) x 2x 4 b(1) x *** Garbage collection starting *** GC 21 2-Oct-2003 12:52:44, 30 ms (0%), 1031323 occupied, 23968629 free Separation of e_5 yields (e_92 e_86 e_76 e_85 e_73 e_94 e_81 e_68 e_95 e_64 e_63 e_83 e_82 e_96 e_93 e_88 e_87 e_80 e_77 e_75 e_70 e_69 e_72 e_71 e_66 e_97 e_90 e_91 e_89 e_78 e_74 e_79 e_67 e_65 e_84) Step 6: separation w.r.t. x linear independent expressions : b(2) *Db(1)*Db(2) 4x b(1)*Db(2)*Db(2) 4x b(2)*Db(1)*Db(2) 4x b(1) *Db(2)*Db(2) x 3x b(2) *Db(1)*Db(2) x 3x b(1)*Db(2) *Db(2) x 3x b(2)*Db(1) *Db(2) x 3x b(1) *Db(2)*Db(2) 2x 2x b(2) *Db(1)*Db(2) 2x 2x b(1) *Db(2) *Db(2) x x 2x b(2)*Db(1) *Db(2) 2x 2x b(2) *Db(1) *Db(2) x x 2x b(1) *Db(2)*Db(2) 3x x b(2) *Db(1)*Db(2) 3x x b(2)*Db(1) *Db(2) 3x x b(2) *Db(1) *Db(2) x 2x x b(2) *Db(1) *Db(2) 2x x x b(1)*Db(1)*Db(1) 5x b(2)*Db(2)*Db(1) 4x b(1) *Db(1)*Db(1) x 4x b(1)*Db(1) *Db(1) x 4x b(2) *Db(2)*Db(1) x 3x b(1) *Db(1)*Db(1) 2x 3x b(1)*Db(1) *Db(1) 2x 3x b(1) *Db(1) *Db(1) x x 3x b(2) *Db(2)*Db(1) 2x 2x b(1) *Db(1)*Db(1) 3x 2x b(1) *Db(1) *Db(1) 2x x 2x b(2) *Db(2)*Db(1) 3x x b(1) *Db(1)*Db(1) 4x x b(1)*b(2)*b(2) 5x b(1)*b(2) *b(2) x 4x b(2)*b(1) *b(2) x 4x b(1)*b(2) *b(2) 2x 3x b(1) *b(2) *b(2) x x 3x b(2)*b(1) *b(2) 2x 3x 2 b(1) *b(2) x 2x b(1) *b(2) *b(2) 2x x 2x b(2)*b(1) *b(2) 3x 2x 2 b(1) *b(2) 3x x b(2)*b(1) *b(2) 4x x 2 b(1) *b(1) 6x 2 b(2) *b(1) 5x b(1)*b(1) *b(1) x 5x b(1)*b(1) *b(1) 2x 4x 2 b(1) *b(1) x 4x 2 b(1)*b(1) 3x b(1) *b(1) *b(1) x 2x 3x 3 b(1) 2x *** Garbage collection starting *** GC 22 2-Oct-2003 12:52:49, 30 ms (0%), 1087953 occupied, 23911998 free *** Garbage collection starting *** GC 23 2-Oct-2003 12:53:13, 30 ms (0%), 1041677 occupied, 23958275 free Separation of e_7 yields (e_128 e_104 e_125 e_145 e_136 e_132 e_123 e_107 e_106 e_105 e_98 e_144 e_141 e_140 e_129 e_126 e_116 e_142 e_139 e_135 e_134 e_131 e_121 e_115 e_110 e_108 e_100 e_146 e_138 e_137 e_130 e_120 e_119 e_118 e_114 e_113 e_111 e_109 e_143 e_133 e_122 e_112 e_101 e_127 e_124 e_117 e_103 e_102 e_99) Step 7: separation w.r.t. x linear independent expressions : b(2)*b(2) *Db(1)*Db(2) 2x 2 b(2) *Db(1)*Db(2) x b(1)*b(1) *Db(1)*Db(2) 3x b(1) *b(1) *Db(1)*Db(2) x 2x 2 b(1) *Db(1)*Db(2) 3x b(1)*b(2)*Db(2)*Db(2) 2x 2 b(2) *Db(1)*Db(2) 2x b(1)*b(1) *Db(1)*Db(2) x 2x 2 b(1) *Db(1) *Db(2) x 2x b(1)*b(2) *Db(2)*Db(2) x x b(2)*b(1) *Db(2)*Db(2) x x b(2)*b(2) *Db(1)*Db(2) x x b(1)*b(1) *Db(1)*Db(2) 2x x 2 b(1) *Db(1)*Db(2) x x 2 b(1) *Db(1) *Db(2) 2x x 2 b(2) *Db(1) *Db(2) x x b(1)*b(1) *Db(1) *Db(2) x x x 2 b(1) *Db(2)*Db(1) 3x b(1)*b(2)*Db(1)*Db(1) 3x 2 b(2) *Db(2)*Db(1) 2x b(1)*b(1) *Db(2)*Db(1) x 2x b(1)*b(2) *Db(1)*Db(1) x 2x b(2)*b(1) *Db(1)*Db(1) x 2x b(1)*b(2)*Db(1) *Db(1) x 2x b(2)*b(2) *Db(2)*Db(1) x x b(1)*b(1) *Db(2)*Db(1) 2x x 2 b(1) *Db(2)*Db(1) x x b(1)*b(2) *Db(1)*Db(1) 2x x b(1) *b(2) *Db(1)*Db(1) x x x b(2)*b(1) *Db(1)*Db(1) 2x x 3 b(1) *b(2) 4x 2 b(1)*b(2) *b(2) 3x 2 b(1) *b(1) *b(2) x 3x b(1)*b(2)*b(2) *b(2) x 2x 2 b(1) *b(1) *b(2) 2x 2x 2 b(1)*b(1) *b(2) x 2x 2 b(2) *b(1) *b(2) x 2x 3 b(1)*b(2) x 2 b(2)*b(1) *b(2) x x 2 b(1) *b(1) *b(2) 3x x 2 b(2) *b(1) *b(2) 2x x b(1)*b(1) *b(1) *b(2) x 2x x 3 b(1) *b(2) x x 2 b(1) *b(2)*b(1) 4x 3 b(2) *b(1) 3x b(1)*b(2)*b(1) *b(1) x 3x 2 b(1)*b(2)*b(1) 2x 2 b(2)*b(1) *b(1) x 2x *** Garbage collection starting *** GC 24 2-Oct-2003 12:53:15, 30 ms (0%), 1049633 occupied, 23950318 free *** Garbage collection starting *** GC 25 2-Oct-2003 12:53:43, 40 ms (0%), 1134183 occupied, 23865769 free *** Garbage collection starting *** GC 26 2-Oct-2003 12:53:47, 30 ms (0%), 1053939 occupied, 23946012 free Separation of e_6 yields (e_189 e_150 e_188 e_185 e_175 e_163 e_157 e_179 e_161 e_194 e_193 e_183 e_177 e_158 e_156 e_190 e_186 e_176 e_171 e_164 e_154 e_184 e_180 e_170 e_152 e_151 e_169 e_168 e_155 e_148 e_192 e_174 e_173 e_167 e_162 e_160 e_165 e_159 e_191 e_187 e_181 e_178 e_172 e_149 e_147 e_166 e_153 e_182) e_189 is a consequence of e_86. e_188 is a consequence of e_85. e_163 is a consequence of e_68. Step 8: separation w.r.t. x linear independent expressions : b(1) *Db(1)*Db(2) 5x b(1)*Db(1)*Db(2) 5x b(2)*Db(2)*Db(2) 4x b(1) *Db(1)*Db(2) x 4x b(1)*Db(1) *Db(2) x 4x b(2) *Db(2)*Db(2) x 3x b(1) *Db(1)*Db(2) 2x 3x b(2)*Db(2) *Db(2) x 3x b(1)*Db(1) *Db(2) 2x 3x b(1) *Db(1) *Db(2) x x 3x b(2) *Db(2)*Db(2) 2x 2x b(1) *Db(1)*Db(2) 3x 2x b(2) *Db(2) *Db(2) x x 2x b(1)*Db(1) *Db(2) 3x 2x b(1) *Db(1) *Db(2) x 2x 2x b(1) *Db(1) *Db(2) 2x x 2x b(2) *Db(2)*Db(2) 3x x b(1) *Db(1)*Db(2) 4x x b(1)*Db(1) *Db(2) 4x x b(1) *Db(1) *Db(2) x 3x x b(1) *Db(1) *Db(2) 2x 2x x b(1) *Db(1) *Db(2) 3x x x b(1)*Db(2)*Db(1) 5x b(2)*Db(1)*Db(1) 5x b(1) *Db(2)*Db(1) x 4x b(2) *Db(1)*Db(1) x 4x b(2)*Db(1) *Db(1) x 4x b(1) *Db(2)*Db(1) 2x 3x b(2) *Db(1)*Db(1) 2x 3x b(2)*Db(1) *Db(1) 2x 3x b(2) *Db(1) *Db(1) x x 3x b(1) *Db(2)*Db(1) 3x 2x b(2) *Db(1)*Db(1) 3x 2x b(2) *Db(1) *Db(1) 2x x 2x b(1) *Db(2)*Db(1) 4x x b(2) *Db(1)*Db(1) 4x x 2 b(1) *b(2) 6x 2 b(2) *b(2) 5x b(1)*b(1) *b(2) x 5x b(2)*b(2) *b(2) x 4x b(1)*b(1) *b(2) 2x 4x 2 b(1) *b(2) x 4x b(2)*b(2) *b(2) 2x 3x 2 b(2) *b(2) x 3x b(1)*b(1) *b(2) 3x 3x b(1) *b(1) *b(2) x 2x 3x 2 b(2) *b(2) x 2x b(1)*b(1) *b(2) 4x 2x b(1) *b(1) *b(2) x 3x 2x 2 b(1) *b(2) 2x 2x b(1)*b(1) *b(2) 5x x b(1) *b(1) *b(2) x 4x x b(1) *b(1) *b(2) 2x 3x x b(1)*b(2)*b(1) 6x b(2)*b(1) *b(1) x 5x b(2)*b(1) *b(1) 2x 4x 2 b(2)*b(1) 3x *** Garbage collection starting *** GC 27 2-Oct-2003 12:53:53, 40 ms (0%), 1100433 occupied, 23899519 free *** Garbage collection starting *** GC 28 2-Oct-2003 12:54:56, 40 ms (0%), 1204565 occupied, 23795386 free *** Garbage collection starting *** GC 29 2-Oct-2003 12:55:01, 30 ms (0%), 1064371 occupied, 23935581 free Separation of e_8 yields (e_249 e_244 e_239 e_241 e_246 e_214 e_235 e_212 e_209 e_208 e_205 e_222 e_229 e_220 e_215 e_250 e_228 e_198 e_195 e_247 e_218 e_243 e_238 e_233 e_231 e_225 e_221 e_251 e_237 e_227 e_224 e_213 e_210 e_202 e_201 e_199 e_226 e_219 e_197 e_196 e_248 e_223 e_217 e_211 e_207 e_204 e_200 e_240 e_236 e_232 e_230 e_216 e_203 e_245 e_234 e_242 e_206) e_249 is a consequence of e_128. e_214 is a consequence of e_104. e_215 is a consequence of e_105. e_250 is a consequence of e_129. 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 : 232 total no of terms : 1600 total no of factors : 3189 232 equations in 0 variables: e_182(14),e_242(14),e_206(14),e_166(13),e_153(13),e_245(13),e_234(13), e_84(12),e_191(12),e_187(12),e_181(12),e_178(12),e_172(12),e_149(12), e_147(12),e_240(12),e_236(12),e_232(12),e_230(12),e_216(12),e_203(12), e_65(11),e_99(11),e_165(11),e_159(11),e_248(11),e_223(11),e_217(11), e_211(11),e_207(11),e_204(11),e_200(11),e_79(10),e_67(10),e_127(10), e_124(10),e_117(10),e_103(10),e_102(10),e_192(10),e_174(10),e_173(10), e_167(10),e_162(10),e_160(10),e_226(10),e_219(10),e_197(10),e_196(10), e_50(9),e_91(9),e_89(9),e_78(9),e_74(9),e_143(9),e_133(9),e_122(9), e_112(9),e_101(9),e_169(9),e_168(9),e_155(9),e_148(9),e_251(9), e_237(9),e_227(9),e_224(9),e_213(9),e_210(9),e_202(9),e_201(9), e_199(9),e_22(8),e_20(8),e_49(8),e_97(8),e_90(8),e_146(8),e_138(8), e_137(8),e_130(8),e_120(8),e_119(8),e_118(8),e_114(8),e_113(8), e_111(8),e_109(8),e_152(8),e_151(8),e_243(8),e_238(8),e_233(8), e_231(8),e_225(8),e_221(8),e_21(7),e_58(7),e_52(7),e_51(7),e_72(7), e_71(7),e_66(7),e_142(7),e_139(7),e_135(7),e_134(7),e_131(7),e_121(7), e_115(7),e_110(7),e_108(7),e_100(7),e_184(7),e_180(7),e_170(7), e_247(7),e_218(7),e_14(6),e_35(6),e_33(6),e_32(6),e_31(6),e_59(6), e_53(6),e_48(6),e_47(6),e_96(6),e_93(6),e_88(6),e_87(6),e_80(6), e_77(6),e_75(6),e_70(6),e_69(6),e_144(6),e_141(6),e_140(6),e_129(6), e_126(6),e_116(6),e_190(6),e_186(6),e_176(6),e_171(6),e_164(6), e_154(6),e_228(6),e_198(6),e_195(6),e_17(5),e_16(5),e_28(5),e_27(5), e_26(5),e_25(5),e_37(5),e_36(5),e_30(5),e_61(5),e_57(5),e_83(5), e_82(5),e_145(5),e_136(5),e_132(5),e_123(5),e_107(5),e_106(5),e_105(5), e_98(5),e_194(5),e_193(5),e_183(5),e_177(5),e_158(5),e_156(5),e_229(5), e_220(5),e_15(4),e_24(4),e_42(4),e_41(4),e_40(4),e_39(4),e_38(4), e_34(4),e_60(4),e_56(4),e_46(4),e_95(4),e_64(4),e_63(4),e_125(4), e_179(4),e_161(4),e_222(4),e_13(3),e_23(3),e_45(3),e_55(3),e_94(3), e_81(3),e_68(3),e_185(3),e_175(3),e_157(3),e_235(3),e_212(3),e_209(3), e_208(3),e_205(3),e_11(2),e_44(3#),e_43(3#),e_85(2),e_73(3#),e_104(2), e_246(2),e_2(2#),e_19(2#),e_76(2#),e_150(2#),e_241(2#),e_1(1#),e_18(1#), e_92(1#),e_86(1#),e_128(1#),e_244(1#),e_239(1#) 56 constants : p1,p2,p3,p4,p5,p6,p7,p8,p9,p10, q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11, q12,q13,q14,q15,q16,q17,q18,q19,q20,q21,q22, q23,q24,q25,q26,q27,q28,q29,q30,q31,q32,q33, q34,q35,q36,q37,q38,q39,q40,q41,q42,q43,q44, q45,q46 old input: w Enter a list of equations, like e2,e5,e35; from: e_239,e_244,e_128,e_86,e_92,e_18,e_1,e_241,e_150,e_76,e_19,e_2,e_246,e_104,e_73, e_85,e_43,e_44,e_11,e_205,e_208,e_209,e_212,e_235,e_157,e_175,e_185,e_68,e_81, e_94,e_55,e_45,e_23,e_13,e_222,e_161,e_179,e_125,e_63,e_64,e_95,e_46,e_56,e_60, e_34,e_38,e_39,e_40,e_41,e_42,e_24,e_15,e_220,e_229,e_156,e_158,e_177,e_183, e_193,e_194,e_98,e_105,e_106,e_107,e_123,e_132,e_136,e_145,e_82,e_83,e_57,e_61, e_30,e_36,e_37,e_25,e_26,e_27,e_28,e_16,e_17,e_195,e_198,e_228,e_154,e_164,e_171 ,e_176,e_186,e_190,e_116,e_126,e_129,e_140,e_141,e_144,e_69,e_70,e_75,e_77,e_80, e_87,e_88,e_93,e_96,e_47,e_48,e_53,e_59,e_31,e_32,e_33,e_35,e_14,e_218,e_247, e_170,e_180,e_184,e_100,e_108,e_110,e_115,e_121,e_131,e_134,e_135,e_139,e_142, e_66,e_71,e_72,e_51,e_52,e_58,e_21,e_221,e_225,e_231,e_233,e_238,e_243,e_151, e_152,e_109,e_111,e_113,e_114,e_118,e_119,e_120,e_130,e_137,e_138,e_146,e_90, e_97,e_49,e_20,e_22,e_199,e_201,e_202,e_210,e_213,e_224,e_227,e_237,e_251,e_148, e_155,e_168,e_169,e_101,e_112,e_122,e_133,e_143,e_74,e_78,e_89,e_91,e_50,e_196, e_197,e_219,e_226,e_160,e_162,e_167,e_173,e_174,e_192,e_102,e_103,e_117,e_124, e_127,e_67,e_79,e_200,e_204,e_207,e_211,e_217,e_223,e_248,e_159,e_165,e_99,e_65, e_203,e_216,e_230,e_232,e_236,e_240,e_147,e_149,e_172,e_178,e_181,e_187,e_191, e_84,e_234,e_245,e_153,e_166,e_206,e_242,e_182 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 30 2-Oct-2003 12:55:05, 40 ms (0%), 1053391 occupied, 23946560 free *** Garbage collection starting *** GC 31 2-Oct-2003 12:55:08, 40 ms (0%), 1063373 occupied, 23936579 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 1 term Step 32: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 33: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 34: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 35: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 36: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 37: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 1 term Step 39: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 40: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 32 2-Oct-2003 12:55:11, 40 ms (0%), 1059285 occupied, 23940666 free shortening by 2 terms Step 41: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 42: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 43: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 44: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 45: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 46: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 47: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 1 term Step 50: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 51: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 52: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 33 2-Oct-2003 12:55:13, 40 ms (0%), 1059427 occupied, 23940525 free shortening by 1 term Step 53: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 54: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 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 : *** Garbage collection starting *** GC 34 2-Oct-2003 12:55:15, 40 ms (0%), 1059227 occupied, 23940724 free *** Garbage collection starting *** GC 35 2-Oct-2003 12:55:16, 30 ms (0%), 1059415 occupied, 23940537 free *** Garbage collection starting *** GC 36 2-Oct-2003 12:55:18, 30 ms (0%), 1059829 occupied, 23940122 free *** Garbage collection starting *** GC 37 2-Oct-2003 12:55:19, 40 ms (0%), 1060107 occupied, 23939845 free *** Garbage collection starting *** GC 38 2-Oct-2003 12:55:21, 40 ms (0%), 1060657 occupied, 23939294 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_239 and e_241. e_241: 0=(6*q23 + q25)*p2 is replaced by e_350: 0=p2*q23 Step 56: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 57: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 58: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 59: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 60: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 61: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 62: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 63: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 64: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 65: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 66: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 1 term Step 69: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 70: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 71: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 72: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 73: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 74: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 39 2-Oct-2003 12:55:23, 30 ms (0%), 1059989 occupied, 23939963 free *** Garbage collection starting *** GC 40 2-Oct-2003 12:55:25, 30 ms (0%), 1060257 occupied, 23939694 free *** Garbage collection starting *** GC 41 2-Oct-2003 12:55:27, 40 ms (0%), 1060597 occupied, 23939355 free *** Garbage collection starting *** GC 42 2-Oct-2003 12:55:28, 40 ms (0%), 1061071 occupied, 23938880 free *** Garbage collection starting *** GC 43 2-Oct-2003 12:55:30, 30 ms (0%), 1061247 occupied, 23938705 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_1 and e_2. e_2: 0=(2*q21 - 3*q41)*p4 is replaced by e_188: 0=p4*q21 Step 75: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 44 2-Oct-2003 12:55:32, 30 ms (0%), 1059673 occupied, 23940278 free *** Garbage collection starting *** GC 45 2-Oct-2003 12:55:33, 30 ms (0%), 1060217 occupied, 23939735 free *** Garbage collection starting *** GC 46 2-Oct-2003 12:55:35, 30 ms (0%), 1060625 occupied, 23939326 free *** Garbage collection starting *** GC 47 2-Oct-2003 12:55:36, 30 ms (0%), 1060917 occupied, 23939035 free *** Garbage collection starting *** GC 48 2-Oct-2003 12:55:38, 40 ms (0%), 1061263 occupied, 23938688 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 49 2-Oct-2003 12:55:43, 50 ms (0%), 1191195 occupied, 23808736 free Eliminate q16 from e_309 and e_175. e_175: 0=p2*q2 - p8*q2 + p9*q16 is replaced by e_8: 0=q2*(2*p2 - p8 - p9) 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 50 2-Oct-2003 12:55:45, 30 ms (0%), 1060239 occupied, 23939712 free *** Garbage collection starting *** GC 51 2-Oct-2003 12:55:47, 30 ms (0%), 1060873 occupied, 23939079 free *** Garbage collection starting *** GC 52 2-Oct-2003 12:55:48, 40 ms (0%), 1061265 occupied, 23938686 free *** Garbage collection starting *** GC 53 2-Oct-2003 12:55:50, 30 ms (0%), 1061461 occupied, 23938491 free *** Garbage collection starting *** GC 54 2-Oct-2003 12:55:51, 40 ms (0%), 1061889 occupied, 23938062 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 55 2-Oct-2003 12:55:56, 40 ms (0%), 1192793 occupied, 23807138 free *** Garbage collection starting *** GC 56 2-Oct-2003 12:56:01, 50 ms (0%), 1187841 occupied, 23812082 free *** Garbage collection starting *** GC 57 2-Oct-2003 12:56:06, 40 ms (0%), 1183914 occupied, 23816006 free *** Garbage collection starting *** GC 58 2-Oct-2003 12:56:10, 40 ms (0%), 1178741 occupied, 23821182 free Eliminate q39 from e_23 and e_16. e_16: 5 terms, 10 factors, with derivatives of functions of all variables: (q41,q39,q21,p8,p7,p4,p2) is replaced by e_214: 5 terms, 10 factors, with derivatives of functions of all variables: (q41,q21,p8,p7,p2) 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 59 2-Oct-2003 12:56:12, 40 ms (0%), 1060091 occupied, 23939861 free *** Garbage collection starting *** GC 60 2-Oct-2003 12:56:14, 30 ms (0%), 1060999 occupied, 23938953 free *** Garbage collection starting *** GC 61 2-Oct-2003 12:56:16, 40 ms (0%), 1061401 occupied, 23938551 free *** Garbage collection starting *** GC 62 2-Oct-2003 12:56:17, 40 ms (0%), 1061861 occupied, 23938090 free *** Garbage collection starting *** GC 63 2-Oct-2003 12:56:19, 40 ms (0%), 1062315 occupied, 23937637 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 64 2-Oct-2003 12:56:24, 30 ms (0%), 1079027 occupied, 23920924 free *** Garbage collection starting *** GC 65 2-Oct-2003 12:56:28, 40 ms (0%), 1093622 occupied, 23906315 free Eliminate q39 from e_23 and e_13. e_13: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q21,p8,p7,p4) is replaced by e_252: 0=q21*(p2 + p8) 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 66 2-Oct-2003 12:56:31, 30 ms (0%), 1061033 occupied, 23938919 free *** Garbage collection starting *** GC 67 2-Oct-2003 12:56:33, 30 ms (0%), 1061869 occupied, 23938083 free *** Garbage collection starting *** GC 68 2-Oct-2003 12:56:34, 40 ms (0%), 1062701 occupied, 23937250 free *** Garbage collection starting *** GC 69 2-Oct-2003 12:56:36, 30 ms (0%), 1063185 occupied, 23936767 free *** Garbage collection starting *** GC 70 2-Oct-2003 12:56:38, 30 ms (0%), 1063633 occupied, 23936318 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 71 2-Oct-2003 12:56:42, 40 ms (0%), 1084346 occupied, 23915606 free *** Garbage collection starting *** GC 72 2-Oct-2003 12:56:47, 40 ms (0%), 1102477 occupied, 23897457 free *** Garbage collection starting *** GC 73 2-Oct-2003 12:56:52, 40 ms (0%), 1120636 occupied, 23879301 free Eliminate q39 from e_104 and e_208. e_208: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q18,q10,p10,p6,p2) is replaced by e_135: 3 terms, 6 factors, with derivatives of functions of all variables: (q18,q16,q10,p10,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 74 2-Oct-2003 12:56:54, 30 ms (0%), 1060971 occupied, 23938981 free *** Garbage collection starting *** GC 75 2-Oct-2003 12:56:55, 30 ms (0%), 1061815 occupied, 23938137 free *** Garbage collection starting *** GC 76 2-Oct-2003 12:56:57, 40 ms (0%), 1062015 occupied, 23937936 free *** Garbage collection starting *** GC 77 2-Oct-2003 12:56:59, 40 ms (0%), 1062425 occupied, 23937527 free *** Garbage collection starting *** GC 78 2-Oct-2003 12:57:00, 40 ms (0%), 1062811 occupied, 23937140 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_104 and e_212. e_212: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q17,q8,p10,p6,p2) is replaced by e_133: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q16,q8,p10,p2) 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 79 2-Oct-2003 12:57:02, 30 ms (0%), 1060197 occupied, 23939755 free *** Garbage collection starting *** GC 80 2-Oct-2003 12:57:04, 30 ms (0%), 1061081 occupied, 23938870 free *** Garbage collection starting *** GC 81 2-Oct-2003 12:57:06, 30 ms (0%), 1061649 occupied, 23938303 free *** Garbage collection starting *** GC 82 2-Oct-2003 12:57:07, 30 ms (0%), 1062231 occupied, 23937720 free *** Garbage collection starting *** GC 83 2-Oct-2003 12:57:09, 40 ms (0%), 1062741 occupied, 23937211 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_55 and e_314. e_314: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q43,q26,p9,p6) is replaced by e_4: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q26,q23,p9,p6) 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 84 2-Oct-2003 12:57:13, 30 ms (0%), 1060197 occupied, 23939754 free *** Garbage collection starting *** GC 85 2-Oct-2003 12:57:15, 30 ms (0%), 1060907 occupied, 23939045 free *** Garbage collection starting *** GC 86 2-Oct-2003 12:57:16, 40 ms (0%), 1061835 occupied, 23938116 free *** Garbage collection starting *** GC 87 2-Oct-2003 12:57:18, 40 ms (0%), 1062411 occupied, 23937540 free *** Garbage collection starting *** GC 88 2-Oct-2003 12:57:20, 40 ms (0%), 1062973 occupied, 23936977 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_55 and e_56. e_56: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q43,q26,q25,p9,p6) is replaced by e_267: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q26,q25,q23,p9,p6) Step 82: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 89 2-Oct-2003 12:57:22, 30 ms (0%), 1061101 occupied, 23938851 free *** Garbage collection starting *** GC 90 2-Oct-2003 12:57:23, 40 ms (0%), 1062261 occupied, 23937690 free *** Garbage collection starting *** GC 91 2-Oct-2003 12:57:25, 40 ms (0%), 1062655 occupied, 23937297 free *** Garbage collection starting *** GC 92 2-Oct-2003 12:57:27, 40 ms (0%), 1062961 occupied, 23936990 free *** Garbage collection starting *** GC 93 2-Oct-2003 12:57:28, 40 ms (0%), 1063257 occupied, 23936695 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_267 and e_4. e_4: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q26,q23,p9,p6) is replaced by e_254: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q26,q25,q23,p9,p6) Step 83: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 94 2-Oct-2003 12:57:33, 30 ms (0%), 1060223 occupied, 23939728 free *** Garbage collection starting *** GC 95 2-Oct-2003 12:57:34, 40 ms (0%), 1060269 occupied, 23939683 free *** Garbage collection starting *** GC 96 2-Oct-2003 12:57:36, 30 ms (0%), 1060801 occupied, 23939150 free *** Garbage collection starting *** GC 97 2-Oct-2003 12:57:37, 30 ms (0%), 1061301 occupied, 23938651 free *** Garbage collection starting *** GC 98 2-Oct-2003 12:57:39, 30 ms (0%), 1061729 occupied, 23938222 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 99 2-Oct-2003 12:57:44, 30 ms (0%), 1102773 occupied, 23897164 free *** Garbage collection starting *** GC 100 2-Oct-2003 12:57:49, 40 ms (0%), 1132168 occupied, 23867767 free *** Garbage collection starting *** GC 101 2-Oct-2003 12:57:54, 40 ms (0%), 1161110 occupied, 23838829 free *** Garbage collection starting *** GC 102 2-Oct-2003 12:57:58, 40 ms (0%), 1185026 occupied, 23814893 free Eliminate q39 from e_104 and e_298. e_298: 4 terms, 8 factors, with derivatives of functions of all variables: (q39,q32,q17,p10,p8,p6,p2) is replaced by e_277: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q17,q16,p10,p8,p2) 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 103 2-Oct-2003 12:58:03, 40 ms (0%), 1061225 occupied, 23938726 free *** Garbage collection starting *** GC 104 2-Oct-2003 12:58:04, 40 ms (0%), 1061775 occupied, 23938177 free *** Garbage collection starting *** GC 105 2-Oct-2003 12:58:06, 30 ms (0%), 1062529 occupied, 23937422 free *** Garbage collection starting *** GC 106 2-Oct-2003 12:58:08, 40 ms (0%), 1063163 occupied, 23936789 free *** Garbage collection starting *** GC 107 2-Oct-2003 12:58:09, 40 ms (0%), 1063541 occupied, 23936410 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_133 and e_277. e_277: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q17,q16,p10,p8,p2) is replaced by e_121: 4 terms, 8 factors, with derivatives of functions of all variables: (q32,q16,q8,p10,p8,p2) 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 108 2-Oct-2003 12:58:12, 30 ms (0%), 1061203 occupied, 23938748 free *** Garbage collection starting *** GC 109 2-Oct-2003 12:58:13, 40 ms (0%), 1062089 occupied, 23937861 free *** Garbage collection starting *** GC 110 2-Oct-2003 12:58:15, 40 ms (0%), 1062757 occupied, 23937194 free *** Garbage collection starting *** GC 111 2-Oct-2003 12:58:16, 40 ms (0%), 1063457 occupied, 23936493 free *** Garbage collection starting *** GC 112 2-Oct-2003 12:58:18, 40 ms (0%), 1064089 occupied, 23935862 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 113 2-Oct-2003 12:58:23, 40 ms (0%), 1108442 occupied, 23891496 free Eliminate q39 from e_85 and e_183. e_183: 5 terms, 10 factors, with derivatives of functions of all variables: (q39,q17,q5,p9,p7,p5,p2) is replaced by e_285: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q16,q5,p9,p7,p2) 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 114 2-Oct-2003 12:58:27, 40 ms (0%), 1061365 occupied, 23938587 free *** Garbage collection starting *** GC 115 2-Oct-2003 12:58:28, 40 ms (0%), 1062533 occupied, 23937418 free *** Garbage collection starting *** GC 116 2-Oct-2003 12:58:30, 30 ms (0%), 1063333 occupied, 23936619 free *** Garbage collection starting *** GC 117 2-Oct-2003 12:58:31, 40 ms (0%), 1064175 occupied, 23935776 free *** Garbage collection starting *** GC 118 2-Oct-2003 12:58:33, 30 ms (0%), 1064599 occupied, 23935353 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_302 and e_285. e_285: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q16,q5,p9,p7,p2) is replaced by e_289: 5 terms, 10 factors, with derivatives of functions of all variables: (q17,q5,p9,p8,p7,p2) 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 119 2-Oct-2003 12:58:36, 30 ms (0%), 1062421 occupied, 23937530 free *** Garbage collection starting *** GC 120 2-Oct-2003 12:58:37, 40 ms (0%), 1063395 occupied, 23936557 free *** Garbage collection starting *** GC 121 2-Oct-2003 12:58:39, 40 ms (0%), 1063759 occupied, 23936192 free *** Garbage collection starting *** GC 122 2-Oct-2003 12:58:41, 40 ms (0%), 1064195 occupied, 23935757 free *** Garbage collection starting *** GC 123 2-Oct-2003 12:58:42, 40 ms (0%), 1064695 occupied, 23935256 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_85 and e_193. e_193: 5 terms, 10 factors, with derivatives of functions of all variables: (q39,q18,q1,p9,p7,p5,p2) is replaced by e_292: 5 terms, 10 factors, with derivatives of functions of all variables: (q18,q16,q1,p9,p7,p2) 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 124 2-Oct-2003 12:58:45, 40 ms (0%), 1061557 occupied, 23938395 free *** Garbage collection starting *** GC 125 2-Oct-2003 12:58:46, 40 ms (0%), 1062485 occupied, 23937467 free *** Garbage collection starting *** GC 126 2-Oct-2003 12:58:48, 40 ms (0%), 1063185 occupied, 23936766 free *** Garbage collection starting *** GC 127 2-Oct-2003 12:58:50, 40 ms (0%), 1063823 occupied, 23936129 free *** Garbage collection starting *** GC 128 2-Oct-2003 12:58:51, 40 ms (0%), 1064297 occupied, 23935654 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_133 and e_107. e_107: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q18,q17,q16,p10,p8,p2) is replaced by e_170: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q18,q16,q8,p10,p8,p2) 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 : *** Garbage collection starting *** GC 129 2-Oct-2003 12:58:55, 40 ms (0%), 1061517 occupied, 23938435 free *** Garbage collection starting *** GC 130 2-Oct-2003 12:58:57, 30 ms (0%), 1062399 occupied, 23937552 free *** Garbage collection starting *** GC 131 2-Oct-2003 12:58:59, 40 ms (0%), 1063367 occupied, 23936585 free *** Garbage collection starting *** GC 132 2-Oct-2003 12:59:00, 40 ms (0%), 1064051 occupied, 23935900 free *** Garbage collection starting *** GC 133 2-Oct-2003 12:59:02, 40 ms (0%), 1064657 occupied, 23935295 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_135 and e_170. e_170: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q18,q16,q8,p10,p8,p2) is replaced by e_301: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q16,q10,q8,p10,p8,p2) 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 134 2-Oct-2003 12:59:04, 40 ms (0%), 1062067 occupied, 23937884 free *** Garbage collection starting *** GC 135 2-Oct-2003 12:59:06, 30 ms (0%), 1063311 occupied, 23936641 free *** Garbage collection starting *** GC 136 2-Oct-2003 12:59:08, 30 ms (0%), 1064079 occupied, 23935872 free *** Garbage collection starting *** GC 137 2-Oct-2003 12:59:09, 40 ms (0%), 1064367 occupied, 23935585 free *** Garbage collection starting *** GC 138 2-Oct-2003 12:59:11, 40 ms (0%), 1064551 occupied, 23935400 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_336 and e_331. e_331: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q26,q24,p10,p9,p6) is replaced by e_306: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q26,q24,q22,p10,p9,p6) 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 : *** Garbage collection starting *** GC 139 2-Oct-2003 12:59:14, 40 ms (0%), 1062069 occupied, 23937882 free *** Garbage collection starting *** GC 140 2-Oct-2003 12:59:15, 40 ms (0%), 1062695 occupied, 23937255 free *** Garbage collection starting *** GC 141 2-Oct-2003 12:59:17, 40 ms (0%), 1062979 occupied, 23936972 free *** Garbage collection starting *** GC 142 2-Oct-2003 12:59:19, 40 ms (0%), 1063481 occupied, 23936469 free *** Garbage collection starting *** GC 143 2-Oct-2003 12:59:20, 30 ms (0%), 1064049 occupied, 23935902 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_306 and e_336. e_336: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q44,q26,q22,p10,p9,p6) is replaced by e_311: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q26,q24,q22,p10,p9,p6) 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 : *** Garbage collection starting *** GC 144 2-Oct-2003 12:59:22, 30 ms (0%), 1062401 occupied, 23937549 free *** Garbage collection starting *** GC 145 2-Oct-2003 12:59:24, 40 ms (0%), 1063223 occupied, 23936728 free *** Garbage collection starting *** GC 146 2-Oct-2003 12:59:26, 30 ms (0%), 1063941 occupied, 23936009 free *** Garbage collection starting *** GC 147 2-Oct-2003 12:59:27, 40 ms (0%), 1064587 occupied, 23935364 free *** Garbage collection starting *** GC 148 2-Oct-2003 12:59:29, 40 ms (0%), 1065049 occupied, 23934901 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q46 from e_39 and e_40. e_40: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q45,q24,q22,p10,p6,p5) is replaced by e_316: 4 terms, 8 factors, with derivatives of functions of all variables: (q45,q43,q24,q22,p10,p6) 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 149 2-Oct-2003 12:59:31, 40 ms (0%), 1062739 occupied, 23937212 free *** Garbage collection starting *** GC 150 2-Oct-2003 12:59:33, 30 ms (0%), 1063655 occupied, 23936295 free *** Garbage collection starting *** GC 151 2-Oct-2003 12:59:34, 40 ms (0%), 1064415 occupied, 23935536 free *** Garbage collection starting *** GC 152 2-Oct-2003 12:59:36, 40 ms (0%), 1065107 occupied, 23934843 free *** Garbage collection starting *** GC 153 2-Oct-2003 12:59:38, 40 ms (0%), 1065327 occupied, 23934624 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q46 from e_39 and e_41. e_41: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q44,q24,q22,p10,p6,p5) is replaced by e_321: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q43,q24,q22,p10,p6) Step 94: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 154 2-Oct-2003 12:59:40, 40 ms (0%), 1063093 occupied, 23936857 free *** Garbage collection starting *** GC 155 2-Oct-2003 12:59:41, 40 ms (0%), 1064269 occupied, 23935682 free *** Garbage collection starting *** GC 156 2-Oct-2003 12:59:43, 40 ms (0%), 1064453 occupied, 23935497 free *** Garbage collection starting *** GC 157 2-Oct-2003 12:59:45, 30 ms (0%), 1064803 occupied, 23935148 free *** Garbage collection starting *** GC 158 2-Oct-2003 12:59:46, 40 ms (0%), 1065109 occupied, 23934841 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q41 from e_24 and e_15. e_15: 4 terms, 8 factors, with derivatives of functions of all variables: (q41,q37,q36,q19,p7,p4,p1) is replaced by e_326: 0=(q13 + q37)*p4 Step 95: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 159 2-Oct-2003 12:59:48, 30 ms (0%), 1063353 occupied, 23936598 free *** Garbage collection starting *** GC 160 2-Oct-2003 12:59:50, 40 ms (0%), 1063981 occupied, 23935969 free *** Garbage collection starting *** GC 161 2-Oct-2003 12:59:52, 40 ms (0%), 1064517 occupied, 23935434 free *** Garbage collection starting *** GC 162 2-Oct-2003 12:59:53, 40 ms (0%), 1065151 occupied, 23934799 free *** Garbage collection starting *** GC 163 2-Oct-2003 12:59:55, 40 ms (0%), 1065617 occupied, 23934334 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q37 from e_326 and e_21. e_21: 7 terms, 14 factors, with derivatives of functions of all variables: (q41,q37,q21,q19,q16,q13,p8,p4,p2,p1) is replaced by e_329: 6 terms, 12 factors, with derivatives of functions of all variables: (q41,q21,q19,q16,q13,p8,p4,p2,p1) Step 96: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 164 2-Oct-2003 12:59:57, 30 ms (0%), 1063593 occupied, 23936357 free *** Garbage collection starting *** GC 165 2-Oct-2003 12:59:59, 40 ms (0%), 1064459 occupied, 23935492 free *** Garbage collection starting *** GC 166 2-Oct-2003 13:00:00, 50 ms (0%), 1064911 occupied, 23935040 free *** Garbage collection starting *** GC 167 2-Oct-2003 13:00:02, 40 ms (0%), 1065509 occupied, 23934441 free *** Garbage collection starting *** GC 168 2-Oct-2003 13:00:04, 40 ms (0%), 1066325 occupied, 23933626 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 169 2-Oct-2003 13:00:09, 40 ms (0%), 1128148 occupied, 23871782 free *** Garbage collection starting *** GC 170 2-Oct-2003 13:00:13, 40 ms (0%), 1175161 occupied, 23824776 free *** Garbage collection starting *** GC 171 2-Oct-2003 13:00:18, 40 ms (0%), 1109779 occupied, 23890155 free *** Garbage collection starting *** GC 172 2-Oct-2003 13:00:23, 40 ms (0%), 1166528 occupied, 23833397 free *** Garbage collection starting *** GC 173 2-Oct-2003 13:00:28, 40 ms (0%), 1104547 occupied, 23895390 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_350 we get the alternative equations : 0=p2 0=q23 New level : 1. CRACK is now called with the new equation e_372 : 0=p2 e_239 is a consequence of e_372 Step 97: Hot list of urgent steps : e_377 is a consequence of e_276. Substitution of p2 found in e_372 : p2=0 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 : *** Garbage collection starting *** GC 174 2-Oct-2003 13:00:31, 40 ms (0%), 1090802 occupied, 23909150 free --- Algebraic length reduction of equations : shortening by 1 term Step 99: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : shortening by 1 term Step 116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 175 2-Oct-2003 13:00:35, 30 ms (0%), 1089672 occupied, 23910279 free shortening by 2 terms Step 138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 176 2-Oct-2003 13:00:37, 30 ms (0%), 1089498 occupied, 23910454 free *** Garbage collection starting *** GC 177 2-Oct-2003 13:00:39, 40 ms (0%), 1089684 occupied, 23910267 free *** Garbage collection starting *** GC 178 2-Oct-2003 13:00:41, 40 ms (0%), 1090110 occupied, 23909842 free *** Garbage collection starting *** GC 179 2-Oct-2003 13:00:43, 40 ms (0%), 1090522 occupied, 23909429 free *** Garbage collection starting *** GC 180 2-Oct-2003 13:00:44, 40 ms (0%), 1090906 occupied, 23909046 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_264 and e_235. e_235: 0=(20*q16 - q18)*p10 is replaced by e_364: 0=p10*q18 Step 141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 181 2-Oct-2003 13:00:47, 40 ms (0%), 1088912 occupied, 23911039 free *** Garbage collection starting *** GC 182 2-Oct-2003 13:00:48, 40 ms (0%), 1089174 occupied, 23910778 free *** Garbage collection starting *** GC 183 2-Oct-2003 13:00:50, 40 ms (0%), 1089502 occupied, 23910449 free *** Garbage collection starting *** GC 184 2-Oct-2003 13:00:52, 40 ms (0%), 1089970 occupied, 23909982 free *** Garbage collection starting *** GC 185 2-Oct-2003 13:00:53, 40 ms (0%), 1090426 occupied, 23909525 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_264 and e_380. e_380: 0=(10*q16 - q17)*p10 is replaced by e_485: 0=p10*q17 Step 147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 186 2-Oct-2003 13:00:56, 40 ms (0%), 1090682 occupied, 23909270 free *** Garbage collection starting *** GC 187 2-Oct-2003 13:00:58, 40 ms (0%), 1090852 occupied, 23909099 free *** Garbage collection starting *** GC 188 2-Oct-2003 13:01:00, 40 ms (0%), 1091196 occupied, 23908756 free *** Garbage collection starting *** GC 189 2-Oct-2003 13:01:01, 40 ms (0%), 1091504 occupied, 23908447 free *** Garbage collection starting *** GC 190 2-Oct-2003 13:01:03, 40 ms (0%), 1091904 occupied, 23908048 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 191 2-Oct-2003 13:01:08, 40 ms (0%), 1192224 occupied, 23807704 free Eliminate q45 from e_57 and e_357. e_357: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q45,q43,q34,p9) is replaced by e_511: 0=(2*q34 - q43)*p9 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 192 2-Oct-2003 13:01:11, 40 ms (0%), 1089734 occupied, 23910218 free *** Garbage collection starting *** GC 193 2-Oct-2003 13:01:12, 40 ms (0%), 1090632 occupied, 23909320 free *** Garbage collection starting *** GC 194 2-Oct-2003 13:01:14, 40 ms (0%), 1091206 occupied, 23908746 free *** Garbage collection starting *** GC 195 2-Oct-2003 13:01:16, 40 ms (0%), 1091678 occupied, 23908273 free *** Garbage collection starting *** GC 196 2-Oct-2003 13:01:18, 40 ms (0%), 1092164 occupied, 23907788 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 197 2-Oct-2003 13:01:23, 40 ms (0%), 1195820 occupied, 23804110 free *** Garbage collection starting *** GC 198 2-Oct-2003 13:01:28, 50 ms (0%), 1174330 occupied, 23825607 free *** Garbage collection starting *** GC 199 2-Oct-2003 13:01:33, 50 ms (0%), 1151348 occupied, 23848588 free *** Garbage collection starting *** GC 200 2-Oct-2003 13:01:38, 40 ms (0%), 1131744 occupied, 23868190 free Eliminate q45 from e_57 and e_332. e_332: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q43,p9,p7) is replaced by e_514: 0=p7*q43 - p9*q34 + p9*q43 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 201 2-Oct-2003 13:01:43, 40 ms (0%), 1089652 occupied, 23910300 free *** Garbage collection starting *** GC 202 2-Oct-2003 13:01:44, 40 ms (0%), 1090778 occupied, 23909173 free *** Garbage collection starting *** GC 203 2-Oct-2003 13:01:46, 40 ms (0%), 1091540 occupied, 23908412 free *** Garbage collection starting *** GC 204 2-Oct-2003 13:01:48, 40 ms (0%), 1092090 occupied, 23907861 free *** Garbage collection starting *** GC 205 2-Oct-2003 13:01:50, 40 ms (0%), 1092326 occupied, 23907626 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 206 2-Oct-2003 13:01:55, 50 ms (0%), 1203149 occupied, 23796782 free Eliminate q2 from e_378 and e_419. e_419: 5 terms, 10 factors, with derivatives of functions of all variables: (q39,q17,q2,q1,p9,p8,p5) is replaced by e_517: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q17,q1,p9,p8,p5) 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 207 2-Oct-2003 13:01:58, 40 ms (0%), 1090506 occupied, 23909446 free *** Garbage collection starting *** GC 208 2-Oct-2003 13:02:00, 40 ms (0%), 1091470 occupied, 23908481 free *** Garbage collection starting *** GC 209 2-Oct-2003 13:02:01, 40 ms (0%), 1091750 occupied, 23908202 free *** Garbage collection starting *** GC 210 2-Oct-2003 13:02:03, 40 ms (0%), 1092002 occupied, 23907949 free *** Garbage collection starting *** GC 211 2-Oct-2003 13:02:05, 40 ms (1%), 1092358 occupied, 23907594 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 212 2-Oct-2003 13:02:10, 50 ms (1%), 1205315 occupied, 23794619 free *** Garbage collection starting *** GC 213 2-Oct-2003 13:02:15, 40 ms (1%), 1198009 occupied, 23801932 free Eliminate q4 from e_388 and e_94. e_94: 0=p7*q28 - p7*q4 + p9*q36 is replaced by e_255: 0=p7*q1 - p7*q28 - p9*q36 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 214 2-Oct-2003 13:02:18, 30 ms (1%), 1090030 occupied, 23909921 free *** Garbage collection starting *** GC 215 2-Oct-2003 13:02:20, 40 ms (1%), 1090634 occupied, 23909318 free *** Garbage collection starting *** GC 216 2-Oct-2003 13:02:22, 40 ms (1%), 1091416 occupied, 23908536 free *** Garbage collection starting *** GC 217 2-Oct-2003 13:02:24, 40 ms (1%), 1092014 occupied, 23907938 free *** Garbage collection starting *** GC 218 2-Oct-2003 13:02:25, 40 ms (1%), 1092268 occupied, 23907683 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 219 2-Oct-2003 13:02:31, 50 ms (1%), 1207895 occupied, 23792032 free *** Garbage collection starting *** GC 220 2-Oct-2003 13:02:36, 40 ms (1%), 1202930 occupied, 23797003 free Eliminate q17 from e_402 and e_459. e_459: 8 terms, 16 factors, with derivatives of functions of all variables: (q40,q29,q27,q17,q5,p9,p8,p7) is replaced by e_54: 8 terms, 16 factors, with derivatives of functions of all variables: (q40,q29,q27,q5,p9,p8,p7) 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 221 2-Oct-2003 13:02:41, 40 ms (1%), 1090344 occupied, 23909607 free *** Garbage collection starting *** GC 222 2-Oct-2003 13:02:43, 40 ms (1%), 1091892 occupied, 23908058 free *** Garbage collection starting *** GC 223 2-Oct-2003 13:02:45, 40 ms (1%), 1092668 occupied, 23907283 free *** Garbage collection starting *** GC 224 2-Oct-2003 13:02:46, 40 ms (1%), 1093398 occupied, 23906552 free *** Garbage collection starting *** GC 225 2-Oct-2003 13:02:48, 40 ms (1%), 1093640 occupied, 23906311 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 226 2-Oct-2003 13:02:53, 40 ms (1%), 1102706 occupied, 23897243 free *** Garbage collection starting *** GC 227 2-Oct-2003 13:02:59, 40 ms (1%), 1115451 occupied, 23884498 free Eliminate q39 from e_387 and e_68. e_68: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q21,q16,p10,p7,p1) is replaced by e_282: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q18,q16,p10,p7) 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 228 2-Oct-2003 13:03:02, 40 ms (1%), 1090534 occupied, 23909417 free *** Garbage collection starting *** GC 229 2-Oct-2003 13:03:04, 40 ms (1%), 1091984 occupied, 23907968 free *** Garbage collection starting *** GC 230 2-Oct-2003 13:03:06, 40 ms (1%), 1092654 occupied, 23907297 free *** Garbage collection starting *** GC 231 2-Oct-2003 13:03:08, 40 ms (1%), 1093280 occupied, 23906672 free *** Garbage collection starting *** GC 232 2-Oct-2003 13:03:09, 40 ms (1%), 1093426 occupied, 23906525 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_85 and e_517. e_517: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q17,q1,p9,p8,p5) is replaced by e_2: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q16,q1,p9,p8) 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 233 2-Oct-2003 13:03:13, 30 ms (1%), 1090692 occupied, 23909260 free *** Garbage collection starting *** GC 234 2-Oct-2003 13:03:15, 40 ms (1%), 1091990 occupied, 23907961 free *** Garbage collection starting *** GC 235 2-Oct-2003 13:03:17, 40 ms (1%), 1092692 occupied, 23907260 free *** Garbage collection starting *** GC 236 2-Oct-2003 13:03:18, 40 ms (1%), 1092890 occupied, 23907061 free *** Garbage collection starting *** GC 237 2-Oct-2003 13:03:20, 40 ms (1%), 1093202 occupied, 23906750 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_280 and e_2. e_2: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q16,q1,p9,p8) is replaced by e_16: 3 terms, 6 factors, with derivatives of functions of all variables: (q17,q5,q1,p9,p8) Step 162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 238 2-Oct-2003 13:03:23, 30 ms (1%), 1090712 occupied, 23909239 free *** Garbage collection starting *** GC 239 2-Oct-2003 13:03:25, 40 ms (1%), 1091650 occupied, 23908302 free *** Garbage collection starting *** GC 240 2-Oct-2003 13:03:27, 40 ms (1%), 1092312 occupied, 23907639 free *** Garbage collection starting *** GC 241 2-Oct-2003 13:03:29, 40 ms (1%), 1093062 occupied, 23906890 free *** Garbage collection starting *** GC 242 2-Oct-2003 13:03:31, 40 ms (1%), 1093494 occupied, 23906457 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 243 2-Oct-2003 13:03:36, 40 ms (1%), 1103375 occupied, 23896577 free Eliminate q43 from e_514 and e_339. e_339: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q43,q28,p10,p9,p7) is replaced by e_131: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q34,q28,p10,p9) 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 244 2-Oct-2003 13:03:38, 40 ms (1%), 1091636 occupied, 23908315 free *** Garbage collection starting *** GC 245 2-Oct-2003 13:03:40, 40 ms (1%), 1092602 occupied, 23907350 free *** Garbage collection starting *** GC 246 2-Oct-2003 13:03:42, 40 ms (1%), 1093406 occupied, 23906545 free *** Garbage collection starting *** GC 247 2-Oct-2003 13:03:43, 40 ms (1%), 1093870 occupied, 23906081 free *** Garbage collection starting *** GC 248 2-Oct-2003 13:03:45, 40 ms (1%), 1094416 occupied, 23905534 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_16 and e_432. e_432: 5 terms, 10 factors, with derivatives of functions of all variables: (q27,q17,q1,p9,p8,p7) is replaced by e_138: 4 terms, 8 factors, with derivatives of functions of all variables: (q27,q5,q1,p9,p8,p7) 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 249 2-Oct-2003 13:03:48, 40 ms (1%), 1091640 occupied, 23908311 free *** Garbage collection starting *** GC 250 2-Oct-2003 13:03:50, 40 ms (1%), 1092706 occupied, 23907244 free *** Garbage collection starting *** GC 251 2-Oct-2003 13:03:52, 40 ms (1%), 1093426 occupied, 23906525 free *** Garbage collection starting *** GC 252 2-Oct-2003 13:03:53, 40 ms (1%), 1093696 occupied, 23906254 free *** Garbage collection starting *** GC 253 2-Oct-2003 13:03:55, 40 ms (1%), 1093900 occupied, 23906051 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 254 2-Oct-2003 13:04:01, 40 ms (1%), 1111576 occupied, 23888374 free Eliminate q35 from e_500 and e_489. e_489: 0=p10*q37 - p8*q35 is replaced by e_448: 0=2*p10*q37 + 3*p7*q34 Step 165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 255 2-Oct-2003 13:04:03, 40 ms (1%), 1091692 occupied, 23908259 free *** Garbage collection starting *** GC 256 2-Oct-2003 13:04:04, 40 ms (1%), 1092304 occupied, 23907647 free *** Garbage collection starting *** GC 257 2-Oct-2003 13:04:06, 40 ms (1%), 1092682 occupied, 23907269 free *** Garbage collection starting *** GC 258 2-Oct-2003 13:04:08, 40 ms (1%), 1092994 occupied, 23906957 free *** Garbage collection starting *** GC 259 2-Oct-2003 13:04:10, 40 ms (1%), 1093606 occupied, 23906345 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_280 and e_85. e_85: 0=p5*q39 - p9*q16 is replaced by e_104: 0=3*p5*q39 + p8*q5 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 260 2-Oct-2003 13:04:13, 40 ms (1%), 1091794 occupied, 23908156 free *** Garbage collection starting *** GC 261 2-Oct-2003 13:04:15, 40 ms (1%), 1092698 occupied, 23907253 free *** Garbage collection starting *** GC 262 2-Oct-2003 13:04:17, 40 ms (1%), 1093468 occupied, 23906482 free *** Garbage collection starting *** GC 263 2-Oct-2003 13:04:18, 40 ms (1%), 1093996 occupied, 23905955 free *** Garbage collection starting *** GC 264 2-Oct-2003 13:04:20, 40 ms (1%), 1094762 occupied, 23905188 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 13:04:26, 40 ms (1%), 1120353 occupied, 23879597 free *** Garbage collection starting *** GC 266 2-Oct-2003 13:04:31, 40 ms (1%), 1143497 occupied, 23856438 free *** Garbage collection starting *** GC 267 2-Oct-2003 13:04:36, 40 ms (1%), 1161334 occupied, 23838601 free Eliminate q21 from e_282 and e_428. e_428: 5 terms, 10 factors, with derivatives of functions of all variables: (q38,q36,q21,q18,q13,p10,p7) is replaced by e_56: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q38,q36,q18,q16,q13,p7) 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 268 2-Oct-2003 13:04:41, 40 ms (1%), 1091434 occupied, 23908517 free *** Garbage collection starting *** GC 269 2-Oct-2003 13:04:42, 40 ms (1%), 1093108 occupied, 23906843 free *** Garbage collection starting *** GC 270 2-Oct-2003 13:04:44, 40 ms (1%), 1093726 occupied, 23906224 free *** Garbage collection starting *** GC 271 2-Oct-2003 13:04:46, 40 ms (1%), 1093966 occupied, 23905985 free *** Garbage collection starting *** GC 272 2-Oct-2003 13:04:48, 40 ms (1%), 1094170 occupied, 23905780 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_398 and e_433. e_433: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q32,q26,q10,p8,p7,p6) is replaced by e_390: 5 terms, 10 factors, with derivatives of functions of all variables: (q34,q26,q10,q8,p8,p7,p6) 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 273 2-Oct-2003 13:04:51, 40 ms (1%), 1091928 occupied, 23908023 free *** Garbage collection starting *** GC 274 2-Oct-2003 13:04:53, 40 ms (1%), 1092506 occupied, 23907444 free *** Garbage collection starting *** GC 275 2-Oct-2003 13:04:55, 40 ms (1%), 1093020 occupied, 23906931 free *** Garbage collection starting *** GC 276 2-Oct-2003 13:04:57, 40 ms (1%), 1093470 occupied, 23906480 free *** Garbage collection starting *** GC 277 2-Oct-2003 13:04:59, 40 ms (1%), 1094084 occupied, 23905867 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_394 and e_430. e_430: 5 terms, 10 factors, with derivatives of functions of all variables: (q39,q29,q17,q2,p9,p7,p5) is replaced by e_278: 4 terms, 8 factors, with derivatives of functions of all variables: (q29,q17,q13,p9,p7) 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 278 2-Oct-2003 13:05:01, 40 ms (1%), 1092340 occupied, 23907610 free *** Garbage collection starting *** GC 279 2-Oct-2003 13:05:03, 40 ms (1%), 1093284 occupied, 23906667 free *** Garbage collection starting *** GC 280 2-Oct-2003 13:05:05, 40 ms (1%), 1093900 occupied, 23906050 free *** Garbage collection starting *** GC 281 2-Oct-2003 13:05:06, 40 ms (1%), 1095024 occupied, 23904927 free *** Garbage collection starting *** GC 282 2-Oct-2003 13:05:08, 40 ms (1%), 1095636 occupied, 23904314 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q21 from e_282 and e_441. e_441: 6 terms, 12 factors, with derivatives of functions of all variables: (q38,q21,q18,q17,p10,p8,p7) is replaced by e_118: 6 terms, 12 factors, with derivatives of functions of all variables: (q38,q18,q17,q16,p8,p7) 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 283 2-Oct-2003 13:05:12, 40 ms (1%), 1092668 occupied, 23907283 free *** Garbage collection starting *** GC 284 2-Oct-2003 13:05:14, 40 ms (1%), 1094134 occupied, 23905816 free *** Garbage collection starting *** GC 285 2-Oct-2003 13:05:16, 40 ms (1%), 1094950 occupied, 23905001 free *** Garbage collection starting *** GC 286 2-Oct-2003 13:05:18, 40 ms (1%), 1095438 occupied, 23904512 free *** Garbage collection starting *** GC 287 2-Oct-2003 13:05:19, 40 ms (1%), 1095682 occupied, 23904269 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 288 2-Oct-2003 13:05:25, 40 ms (1%), 1125609 occupied, 23874321 free Eliminate q39 from e_104 and e_394. e_394: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q13,q2,p9,p5) is replaced by e_194: 3 terms, 6 factors, with derivatives of functions of all variables: (q13,q5,q2,p9,p8) Step 171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 289 2-Oct-2003 13:05:28, 40 ms (1%), 1092974 occupied, 23906976 free *** Garbage collection starting *** GC 290 2-Oct-2003 13:05:30, 40 ms (1%), 1093192 occupied, 23906758 free *** Garbage collection starting *** GC 291 2-Oct-2003 13:05:31, 40 ms (1%), 1093494 occupied, 23906456 free *** Garbage collection starting *** GC 292 2-Oct-2003 13:05:33, 40 ms (1%), 1094050 occupied, 23905900 free *** Garbage collection starting *** GC 293 2-Oct-2003 13:05:35, 40 ms (1%), 1094448 occupied, 23905501 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_280 and e_401. e_401: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q16,q1,p9,p7) is replaced by e_287: 4 terms, 8 factors, with derivatives of functions of all variables: (q18,q5,q1,p9,p8,p7) Step 172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 294 2-Oct-2003 13:05:40, 40 ms (1%), 1092116 occupied, 23907833 free *** Garbage collection starting *** GC 295 2-Oct-2003 13:05:42, 40 ms (1%), 1092704 occupied, 23907244 free *** Garbage collection starting *** GC 296 2-Oct-2003 13:05:44, 40 ms (1%), 1093448 occupied, 23906501 free *** Garbage collection starting *** GC 297 2-Oct-2003 13:05:46, 40 ms (1%), 1094178 occupied, 23905770 free *** Garbage collection starting *** GC 298 2-Oct-2003 13:05:48, 40 ms (1%), 1094892 occupied, 23905057 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 299 2-Oct-2003 13:05:53, 50 ms (1%), 1128224 occupied, 23871698 free *** Garbage collection starting *** GC 300 2-Oct-2003 13:05:58, 40 ms (1%), 1155041 occupied, 23844894 free *** Garbage collection starting *** GC 301 2-Oct-2003 13:06:04, 50 ms (1%), 1180258 occupied, 23819670 free *** Garbage collection starting *** GC 302 2-Oct-2003 13:06:09, 50 ms (1%), 1201396 occupied, 23798523 free *** Garbage collection starting *** GC 303 2-Oct-2003 13:06:14, 50 ms (1%), 1123459 occupied, 23876467 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_266 we get the alternative equations : 0=p8 0=q34 New level : 1.1. CRACK is now called with the new equation e_337 : 0=p8 e_276,e_374,e_375,e_272,e_273,e_58 are consequences of e_337 Step 173: Hot list of urgent steps : The list of inequalities got extended by: g0074*p10 + g0075*p9 + g0077*p7 Substitution of p8 found in e_337 : p8=0 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 : *** Garbage collection starting *** GC 304 2-Oct-2003 13:06:18, 40 ms (1%), 1129919 occupied, 23870031 free --- 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 2 terms Step 187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 305 2-Oct-2003 13:06:22, 40 ms (1%), 1126607 occupied, 23873342 free shortening by 2 terms Step 191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 306 2-Oct-2003 13:06:25, 50 ms (1%), 1125337 occupied, 23874613 free *** Garbage collection starting *** GC 307 2-Oct-2003 13:06:27, 40 ms (1%), 1125519 occupied, 23874430 free *** Garbage collection starting *** GC 308 2-Oct-2003 13:06:29, 50 ms (1%), 1126025 occupied, 23873925 free *** Garbage collection starting *** GC 309 2-Oct-2003 13:06:30, 40 ms (1%), 1126399 occupied, 23873550 free *** Garbage collection starting *** GC 310 2-Oct-2003 13:06:32, 40 ms (1%), 1126839 occupied, 23873111 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_366 and e_358. e_358: 0=(2*q16 + q2)*p9 is replaced by e_260: 0=p9*q2 e_260 is a consequence of e_416. 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 311 2-Oct-2003 13:06:35, 40 ms (1%), 1126137 occupied, 23873812 free *** Garbage collection starting *** GC 312 2-Oct-2003 13:06:36, 40 ms (1%), 1127171 occupied, 23872779 free *** Garbage collection starting *** GC 313 2-Oct-2003 13:06:38, 40 ms (1%), 1127855 occupied, 23872094 free *** Garbage collection starting *** GC 314 2-Oct-2003 13:06:40, 40 ms (1%), 1128389 occupied, 23871561 free *** Garbage collection starting *** GC 315 2-Oct-2003 13:06:42, 50 ms (1%), 1128863 occupied, 23871086 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q2 from e_416 and e_472. e_472: 0=(q2 + q5)*p9 is replaced by e_286: 0=p9*q5 Step 194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 316 2-Oct-2003 13:06:44, 40 ms (1%), 1126679 occupied, 23873269 free *** Garbage collection starting *** GC 317 2-Oct-2003 13:06:46, 40 ms (1%), 1126951 occupied, 23872997 free *** Garbage collection starting *** GC 318 2-Oct-2003 13:06:48, 40 ms (1%), 1127467 occupied, 23872480 free *** Garbage collection starting *** GC 319 2-Oct-2003 13:06:50, 40 ms (1%), 1128023 occupied, 23871925 free *** Garbage collection starting *** GC 320 2-Oct-2003 13:06:52, 40 ms (1%), 1128459 occupied, 23871488 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q2 from e_416 and e_109. e_109: 0=(q13 - q2)*p9 is replaced by e_193: 0=p9*q13 Step 196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term 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 : shortening by 1 term Step 201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 1 term Step 204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 321 2-Oct-2003 13:06:55, 40 ms (1%), 1126805 occupied, 23873145 free *** Garbage collection starting *** GC 322 2-Oct-2003 13:06:57, 50 ms (1%), 1126979 occupied, 23872970 free *** Garbage collection starting *** GC 323 2-Oct-2003 13:06:59, 40 ms (1%), 1127623 occupied, 23872327 free *** Garbage collection starting *** GC 324 2-Oct-2003 13:07:01, 40 ms (1%), 1127985 occupied, 23871964 free *** Garbage collection starting *** GC 325 2-Oct-2003 13:07:03, 40 ms (1%), 1128581 occupied, 23871369 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 326 2-Oct-2003 13:07:08, 50 ms (1%), 1183411 occupied, 23816519 free Eliminate q8 from e_125 and e_62. e_62: 0=(q10 - q34 + q8)*p7 is replaced by e_225: 0=(q10 - q34)*p7 Step 206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 327 2-Oct-2003 13:07:12, 50 ms (1%), 1127341 occupied, 23872609 free *** Garbage collection starting *** GC 328 2-Oct-2003 13:07:14, 40 ms (1%), 1128257 occupied, 23871692 free *** Garbage collection starting *** GC 329 2-Oct-2003 13:07:16, 50 ms (1%), 1128801 occupied, 23871149 free *** Garbage collection starting *** GC 330 2-Oct-2003 13:07:18, 40 ms (1%), 1129251 occupied, 23870698 free *** Garbage collection starting *** GC 331 2-Oct-2003 13:07:20, 50 ms (1%), 1129577 occupied, 23870373 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_74 and e_225. e_225: 0=(q10 - q34)*p7 is replaced by e_40: 0=p7*q10 Step 207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 332 2-Oct-2003 13:07:22, 40 ms (1%), 1127893 occupied, 23872056 free *** Garbage collection starting *** GC 333 2-Oct-2003 13:07:24, 40 ms (1%), 1128123 occupied, 23871827 free *** Garbage collection starting *** GC 334 2-Oct-2003 13:07:26, 30 ms (1%), 1128449 occupied, 23871500 free *** Garbage collection starting *** GC 335 2-Oct-2003 13:07:28, 40 ms (1%), 1128901 occupied, 23871049 free *** Garbage collection starting *** GC 336 2-Oct-2003 13:07:30, 50 ms (1%), 1129405 occupied, 23870544 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 337 2-Oct-2003 13:07:36, 50 ms (1%), 1191697 occupied, 23808239 free *** Garbage collection starting *** GC 338 2-Oct-2003 13:07:41, 50 ms (1%), 1231169 occupied, 23768763 free Eliminate q44 from e_335 and e_131. e_131: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q34,q28,p10,p9) is replaced by e_322: 0=p10*q28 Step 209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 339 2-Oct-2003 13:07:43, 40 ms (1%), 1127097 occupied, 23872853 free *** Garbage collection starting *** GC 340 2-Oct-2003 13:07:45, 40 ms (1%), 1127521 occupied, 23872429 free *** Garbage collection starting *** GC 341 2-Oct-2003 13:07:47, 40 ms (1%), 1128019 occupied, 23871931 free *** Garbage collection starting *** GC 342 2-Oct-2003 13:07:49, 50 ms (1%), 1128415 occupied, 23871534 free *** Garbage collection starting *** GC 343 2-Oct-2003 13:07:51, 40 ms (1%), 1129045 occupied, 23870905 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q28 from e_356 and e_255. e_255: 0=p7*q1 - p7*q28 - p9*q36 is replaced by e_409: 0=2*p7*q1 - p9*q36 Step 211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 344 2-Oct-2003 13:07:54, 50 ms (1%), 1127311 occupied, 23872637 free *** Garbage collection starting *** GC 345 2-Oct-2003 13:07:56, 50 ms (1%), 1128263 occupied, 23871686 free *** Garbage collection starting *** GC 346 2-Oct-2003 13:07:58, 50 ms (1%), 1129075 occupied, 23870873 free *** Garbage collection starting *** GC 347 2-Oct-2003 13:07:59, 40 ms (1%), 1129431 occupied, 23870518 free *** Garbage collection starting *** GC 348 2-Oct-2003 13:08:01, 40 ms (1%), 1129729 occupied, 23870219 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 349 2-Oct-2003 13:08:07, 50 ms (1%), 1200563 occupied, 23799370 free *** Garbage collection starting *** GC 350 2-Oct-2003 13:08:13, 50 ms (1%), 1151320 occupied, 23848623 free *** Garbage collection starting *** GC 351 2-Oct-2003 13:08:18, 50 ms (1%), 1218609 occupied, 23781317 free Eliminate q32 from e_6 and e_271. e_6: 0=p5*q32 - p6*q5 is replaced by e_325: 0=(q2 - q5)*p6 Step 212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 352 2-Oct-2003 13:08:23, 40 ms (1%), 1127427 occupied, 23872522 free *** Garbage collection starting *** GC 353 2-Oct-2003 13:08:25, 50 ms (1%), 1128761 occupied, 23871189 free *** Garbage collection starting *** GC 354 2-Oct-2003 13:08:27, 50 ms (1%), 1129371 occupied, 23870578 free *** Garbage collection starting *** GC 355 2-Oct-2003 13:08:29, 50 ms (1%), 1129807 occupied, 23870143 free *** Garbage collection starting *** GC 356 2-Oct-2003 13:08:31, 50 ms (1%), 1130091 occupied, 23869858 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_49 and e_241. e_49: 0=4*p3*q39 - p7*q17 is replaced by e_334: 0=(4*q16 - q17)*p7 Step 213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 357 2-Oct-2003 13:08:35, 40 ms (1%), 1128009 occupied, 23871941 free *** Garbage collection starting *** GC 358 2-Oct-2003 13:08:37, 50 ms (1%), 1129181 occupied, 23870768 free *** Garbage collection starting *** GC 359 2-Oct-2003 13:08:39, 40 ms (1%), 1129499 occupied, 23870451 free *** Garbage collection starting *** GC 360 2-Oct-2003 13:08:41, 50 ms (1%), 1129895 occupied, 23870054 free *** Garbage collection starting *** GC 361 2-Oct-2003 13:08:43, 40 ms (1%), 1130087 occupied, 23869863 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q39 from e_351 and e_387. e_387: 0=2*p1*q39 - p7*q18 is replaced by e_266: 0=(2*q16 - q18)*p7 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 : *** Garbage collection starting *** GC 362 2-Oct-2003 13:08:47, 50 ms (1%), 1127701 occupied, 23872247 free *** Garbage collection starting *** GC 363 2-Oct-2003 13:08:49, 40 ms (1%), 1128263 occupied, 23871686 free *** Garbage collection starting *** GC 364 2-Oct-2003 13:08:51, 40 ms (1%), 1129007 occupied, 23870941 free *** Garbage collection starting *** GC 365 2-Oct-2003 13:08:53, 40 ms (1%), 1129859 occupied, 23870090 free *** Garbage collection starting *** GC 366 2-Oct-2003 13:08:55, 50 ms (1%), 1130437 occupied, 23869511 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_266 and e_282. e_282: 3 terms, 6 factors, with derivatives of functions of all variables: (q21,q18,q16,p10,p7) is replaced by e_272: 0=p10*q21 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 : shortening by 1 term Step 219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 367 2-Oct-2003 13:08:58, 40 ms (1%), 1127691 occupied, 23872259 free *** Garbage collection starting *** GC 368 2-Oct-2003 13:09:00, 50 ms (1%), 1127969 occupied, 23871980 free *** Garbage collection starting *** GC 369 2-Oct-2003 13:09:02, 40 ms (1%), 1128427 occupied, 23871523 free *** Garbage collection starting *** GC 370 2-Oct-2003 13:09:04, 40 ms (1%), 1129071 occupied, 23870878 free *** Garbage collection starting *** GC 371 2-Oct-2003 13:09:06, 50 ms (1%), 1129765 occupied, 23870185 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 372 2-Oct-2003 13:09:12, 50 ms (1%), 1219765 occupied, 23780158 free *** Garbage collection starting *** GC 373 2-Oct-2003 13:09:18, 50 ms (1%), 1200855 occupied, 23799074 free Eliminate q39 from e_241 and e_374. e_374: 0=2*p3*q39 + p7*q40 is replaced by e_565: 0=(2*q16 + q40)*p7 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 374 2-Oct-2003 13:09:20, 40 ms (1%), 1128341 occupied, 23871608 free *** Garbage collection starting *** GC 375 2-Oct-2003 13:09:22, 50 ms (1%), 1129213 occupied, 23870737 free *** Garbage collection starting *** GC 376 2-Oct-2003 13:09:24, 40 ms (1%), 1129595 occupied, 23870354 free *** Garbage collection starting *** GC 377 2-Oct-2003 13:09:26, 50 ms (1%), 1129873 occupied, 23870077 free *** Garbage collection starting *** GC 378 2-Oct-2003 13:09:29, 40 ms (1%), 1130103 occupied, 23869846 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 379 2-Oct-2003 13:09:34, 50 ms (1%), 1223567 occupied, 23776366 free Eliminate q27 from e_50 and e_71. e_71: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q28,q27,q4,q1,p9,p7) is replaced by e_568: 6 terms, 12 factors, with derivatives of functions of all variables: (q30,q28,q4,q1,p9,p7) Step 222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 380 2-Oct-2003 13:09:36, 50 ms (1%), 1129517 occupied, 23870432 free *** Garbage collection starting *** GC 381 2-Oct-2003 13:09:38, 50 ms (1%), 1130365 occupied, 23869585 free *** Garbage collection starting *** GC 382 2-Oct-2003 13:09:41, 40 ms (1%), 1130923 occupied, 23869026 free *** Garbage collection starting *** GC 383 2-Oct-2003 13:09:43, 40 ms (1%), 1131297 occupied, 23868653 free *** Garbage collection starting *** GC 384 2-Oct-2003 13:09:45, 50 ms (1%), 1131627 occupied, 23868322 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q18 from e_360 and e_384. e_384: 6 terms, 12 factors, with derivatives of functions of all variables: (q38,q30,q18,q4,q1,p9,p7) is replaced by e_569: 6 terms, 12 factors, with derivatives of functions of all variables: (q38,q30,q4,q1,p9,p7) 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 385 2-Oct-2003 13:09:48, 40 ms (1%), 1128693 occupied, 23871257 free *** Garbage collection starting *** GC 386 2-Oct-2003 13:09:50, 40 ms (1%), 1129005 occupied, 23870945 free *** Garbage collection starting *** GC 387 2-Oct-2003 13:09:52, 50 ms (1%), 1129733 occupied, 23870216 free *** Garbage collection starting *** GC 388 2-Oct-2003 13:09:54, 40 ms (1%), 1130249 occupied, 23869701 free *** Garbage collection starting *** GC 389 2-Oct-2003 13:09:56, 40 ms (1%), 1130811 occupied, 23869138 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 13:10:02, 50 ms (1%), 1228802 occupied, 23771123 free Eliminate q37 from e_552 and e_561. e_561: 3 terms, 6 factors, with derivatives of functions of all variables: (q41,q37,q13,p10,p7) is replaced by e_570: 3 terms, 6 factors, with derivatives of functions of all variables: (q41,q17,q13,p10,p7) Step 224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 391 2-Oct-2003 13:10:05, 40 ms (1%), 1128703 occupied, 23871244 free *** Garbage collection starting *** GC 392 2-Oct-2003 13:10:07, 40 ms (1%), 1129759 occupied, 23870189 free *** Garbage collection starting *** GC 393 2-Oct-2003 13:10:09, 40 ms (1%), 1130707 occupied, 23869240 free *** Garbage collection starting *** GC 394 2-Oct-2003 13:10:11, 40 ms (1%), 1131127 occupied, 23868821 free *** Garbage collection starting *** GC 395 2-Oct-2003 13:10:13, 40 ms (1%), 1131465 occupied, 23868482 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_334 and e_570. e_570: 3 terms, 6 factors, with derivatives of functions of all variables: (q41,q17,q13,p10,p7) is replaced by e_574: 3 terms, 6 factors, with derivatives of functions of all variables: (q41,q16,q13,p10,p7) 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 396 2-Oct-2003 13:10:17, 40 ms (1%), 1128869 occupied, 23871081 free *** Garbage collection starting *** GC 397 2-Oct-2003 13:10:19, 40 ms (1%), 1130409 occupied, 23869539 free *** Garbage collection starting *** GC 398 2-Oct-2003 13:10:21, 40 ms (1%), 1130609 occupied, 23869340 free *** Garbage collection starting *** GC 399 2-Oct-2003 13:10:23, 50 ms (1%), 1130833 occupied, 23869115 free *** Garbage collection starting *** GC 400 2-Oct-2003 13:10:25, 50 ms (1%), 1131283 occupied, 23868666 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q17 from e_334 and e_397. e_397: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q17,q13,p7,p1) is replaced by e_578: 3 terms, 6 factors, with derivatives of functions of all variables: (q39,q16,q13,p7,p1) Step 226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : 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 : *** Garbage collection starting *** GC 401 2-Oct-2003 13:10:29, 50 ms (1%), 1129031 occupied, 23870918 free *** Garbage collection starting *** GC 402 2-Oct-2003 13:10:31, 50 ms (1%), 1129941 occupied, 23870009 free *** Garbage collection starting *** GC 403 2-Oct-2003 13:10:33, 40 ms (1%), 1130797 occupied, 23869152 free *** Garbage collection starting *** GC 404 2-Oct-2003 13:10:35, 50 ms (1%), 1131429 occupied, 23868521 free *** Garbage collection starting *** GC 405 2-Oct-2003 13:10:37, 40 ms (1%), 1132131 occupied, 23867818 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_582 and e_574. e_574: 3 terms, 6 factors, with derivatives of functions of all variables: (q41,q16,q13,p10,p7) is replaced by e_585: 0=3*p10*q41 + p7*q13 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 406 2-Oct-2003 13:10:41, 50 ms (1%), 1128677 occupied, 23871273 free *** Garbage collection starting *** GC 407 2-Oct-2003 13:10:43, 50 ms (1%), 1130455 occupied, 23869494 free *** Garbage collection starting *** GC 408 2-Oct-2003 13:10:46, 40 ms (1%), 1131093 occupied, 23868857 free *** Garbage collection starting *** GC 409 2-Oct-2003 13:10:48, 50 ms (1%), 1131543 occupied, 23868406 free *** Garbage collection starting *** GC 410 2-Oct-2003 13:10:50, 40 ms (1%), 1131697 occupied, 23868253 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_582 and e_351. e_351: 0=p1*q39 - p7*q16 is replaced by e_588: 0=2*p1*q39 - p7*q13 Step 229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 411 2-Oct-2003 13:10:53, 50 ms (1%), 1128883 occupied, 23871066 free *** Garbage collection starting *** GC 412 2-Oct-2003 13:10:55, 50 ms (1%), 1129519 occupied, 23870431 free *** Garbage collection starting *** GC 413 2-Oct-2003 13:10:58, 50 ms (1%), 1130119 occupied, 23869830 free *** Garbage collection starting *** GC 414 2-Oct-2003 13:11:00, 50 ms (1%), 1130829 occupied, 23869121 free *** Garbage collection starting *** GC 415 2-Oct-2003 13:11:02, 40 ms (1%), 1131553 occupied, 23868396 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q16 from e_582 and e_241. e_241: 0=p3*q39 - p7*q16 is replaced by e_591: 0=2*p3*q39 - p7*q13 Step 230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 416 2-Oct-2003 13:11:05, 40 ms (1%), 1129019 occupied, 23870930 free *** Garbage collection starting *** GC 417 2-Oct-2003 13:11:08, 50 ms (1%), 1130155 occupied, 23869793 free *** Garbage collection starting *** GC 418 2-Oct-2003 13:11:10, 40 ms (1%), 1130801 occupied, 23869148 free *** Garbage collection starting *** GC 419 2-Oct-2003 13:11:12, 40 ms (1%), 1131171 occupied, 23868777 free *** Garbage collection starting *** GC 420 2-Oct-2003 13:11:14, 50 ms (1%), 1131321 occupied, 23868628 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_335 and e_246. e_246: 4 terms, 8 factors, with derivatives of functions of all variables: (q44,q43,q35,p9,p7) is replaced by e_132: 4 terms, 8 factors, with derivatives of functions of all variables: (q43,q35,q34,p9,p7) Step 231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 421 2-Oct-2003 13:11:18, 50 ms (1%), 1129041 occupied, 23870907 free *** Garbage collection starting *** GC 422 2-Oct-2003 13:11:20, 40 ms (1%), 1129929 occupied, 23870020 free *** Garbage collection starting *** GC 423 2-Oct-2003 13:11:22, 40 ms (1%), 1130813 occupied, 23869136 free *** Garbage collection starting *** GC 424 2-Oct-2003 13:11:25, 40 ms (1%), 1131223 occupied, 23868725 free *** Garbage collection starting *** GC 425 2-Oct-2003 13:11:27, 50 ms (1%), 1131297 occupied, 23868652 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_511 and e_426. e_426: 0=(9*q34 + q35 - 6*q43)*p9 is replaced by e_258: 0=(3*q34 - q35)*p9 Step 233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 426 2-Oct-2003 13:11:29, 40 ms (1%), 1130209 occupied, 23869739 free *** Garbage collection starting *** GC 427 2-Oct-2003 13:11:31, 50 ms (1%), 1130507 occupied, 23869442 free *** Garbage collection starting *** GC 428 2-Oct-2003 13:11:33, 40 ms (1%), 1131619 occupied, 23868329 free *** Garbage collection starting *** GC 429 2-Oct-2003 13:11:35, 40 ms (1%), 1131957 occupied, 23867992 free *** Garbage collection starting *** GC 430 2-Oct-2003 13:11:37, 40 ms (1%), 1132221 occupied, 23867727 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q35 from e_258 and e_317. e_317: 0=p7*q45 - p9*q35 + p9*q45 is replaced by e_163: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q34,p9,p7) Step 234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 431 2-Oct-2003 13:11:40, 50 ms (1%), 1129841 occupied, 23870107 free *** Garbage collection starting *** GC 432 2-Oct-2003 13:11:42, 40 ms (1%), 1130155 occupied, 23869792 free *** Garbage collection starting *** GC 433 2-Oct-2003 13:11:44, 50 ms (1%), 1130639 occupied, 23869309 free *** Garbage collection starting *** GC 434 2-Oct-2003 13:11:46, 40 ms (1%), 1131163 occupied, 23868784 free *** Garbage collection starting *** GC 435 2-Oct-2003 13:11:48, 40 ms (1%), 1131773 occupied, 23868175 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 436 2-Oct-2003 13:11:54, 40 ms (1%), 1147282 occupied, 23852665 free *** Garbage collection starting *** GC 437 2-Oct-2003 13:12:00, 50 ms (1%), 1167223 occupied, 23832712 free *** Garbage collection starting *** GC 438 2-Oct-2003 13:12:06, 50 ms (1%), 1186438 occupied, 23813499 free *** Garbage collection starting *** GC 439 2-Oct-2003 13:12:12, 50 ms (1%), 1204459 occupied, 23795475 free *** Garbage collection starting *** GC 440 2-Oct-2003 13:12:17, 50 ms (1%), 1221351 occupied, 23778580 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_331 we get the alternative equations : 0=p9 0=q37 New level : 1.1.1. CRACK is now called with the new equation e_15 : 0=p9 e_404,e_57,e_511,e_335,e_258,e_18,e_92,e_310,e_416,e_366,e_217,e_141,e_439,e_286 ,e_193,e_383 are consequences of e_15 Step 235: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: g0074*p10 + g0077*p7 e_327 is a consequence of e_308. e_406 is a consequence of e_255. e_563 is a consequence of e_356. Substitution of p9 found in e_15 : p9=0 Step 236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_57 is a consequence of e_333. Step 238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 441 2-Oct-2003 13:12:21, 50 ms (1%), 1147617 occupied, 23852334 free shortening by 1 term Step 241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 442 2-Oct-2003 13:12:24, 40 ms (1%), 1146115 occupied, 23853835 free *** Garbage collection starting *** GC 443 2-Oct-2003 13:12:26, 40 ms (1%), 1146563 occupied, 23853388 free *** Garbage collection starting *** GC 444 2-Oct-2003 13:12:28, 40 ms (1%), 1147383 occupied, 23852567 free *** Garbage collection starting *** GC 445 2-Oct-2003 13:12:30, 40 ms (1%), 1148153 occupied, 23851798 free *** Garbage collection starting *** GC 446 2-Oct-2003 13:12:32, 50 ms (1%), 1148639 occupied, 23851311 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_553 and e_319. e_319: 0=(q44 + 2*q45)*p7 is replaced by e_435: 0=p7*q45 e_435 is a consequence of e_330. 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 447 2-Oct-2003 13:12:34, 40 ms (1%), 1147227 occupied, 23852724 free *** Garbage collection starting *** GC 448 2-Oct-2003 13:12:36, 40 ms (1%), 1148097 occupied, 23851853 free *** Garbage collection starting *** GC 449 2-Oct-2003 13:12:38, 40 ms (1%), 1148495 occupied, 23851456 free *** Garbage collection starting *** GC 450 2-Oct-2003 13:12:40, 40 ms (1%), 1148875 occupied, 23851075 free *** Garbage collection starting *** GC 451 2-Oct-2003 13:12:42, 40 ms (1%), 1149271 occupied, 23850680 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_333 and e_6. e_6: 0=(q23 - q43)*p7 is replaced by e_339: 0=p7*q23 Step 249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 452 2-Oct-2003 13:12:45, 50 ms (1%), 1146985 occupied, 23852965 free *** Garbage collection starting *** GC 453 2-Oct-2003 13:12:47, 40 ms (1%), 1147097 occupied, 23852854 free *** Garbage collection starting *** GC 454 2-Oct-2003 13:12:49, 40 ms (1%), 1147557 occupied, 23852393 free *** Garbage collection starting *** GC 455 2-Oct-2003 13:12:51, 40 ms (1%), 1148387 occupied, 23851564 free *** Garbage collection starting *** GC 456 2-Oct-2003 13:12:53, 50 ms (1%), 1149079 occupied, 23850871 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_255 and e_562. e_562: 0=(q1 + q30)*p7 is replaced by e_438: 0=p7*q30 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 457 2-Oct-2003 13:12:56, 50 ms (1%), 1148073 occupied, 23851878 free *** Garbage collection starting *** GC 458 2-Oct-2003 13:12:58, 40 ms (1%), 1148293 occupied, 23851657 free *** Garbage collection starting *** GC 459 2-Oct-2003 13:13:00, 50 ms (1%), 1149035 occupied, 23850916 free *** Garbage collection starting *** GC 460 2-Oct-2003 13:13:02, 50 ms (1%), 1149621 occupied, 23850329 free *** Garbage collection starting *** GC 461 2-Oct-2003 13:13:04, 40 ms (1%), 1150273 occupied, 23849678 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q1 from e_255 and e_356. e_356: 0=(q1 + q28)*p7 is replaced by e_216: 0=p7*q28 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 : *** Garbage collection starting *** GC 462 2-Oct-2003 13:13:06, 40 ms (1%), 1148375 occupied, 23851575 free *** Garbage collection starting *** GC 463 2-Oct-2003 13:13:08, 50 ms (1%), 1148677 occupied, 23851274 free *** Garbage collection starting *** GC 464 2-Oct-2003 13:13:11, 40 ms (1%), 1149291 occupied, 23850660 free *** Garbage collection starting *** GC 465 2-Oct-2003 13:13:13, 40 ms (1%), 1149805 occupied, 23850145 free *** Garbage collection starting *** GC 466 2-Oct-2003 13:13:15, 40 ms (1%), 1150323 occupied, 23849628 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q28 from e_216 and e_564. e_564: 0=(q27 - q28 + q4)*p7 is replaced by e_377: 0=(q27 + q4)*p7 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 467 2-Oct-2003 13:13:18, 40 ms (1%), 1148693 occupied, 23851257 free *** Garbage collection starting *** GC 468 2-Oct-2003 13:13:20, 40 ms (1%), 1149355 occupied, 23850596 free *** Garbage collection starting *** GC 469 2-Oct-2003 13:13:22, 50 ms (1%), 1149557 occupied, 23850394 free *** Garbage collection starting *** GC 470 2-Oct-2003 13:13:24, 50 ms (1%), 1149843 occupied, 23850106 free *** Garbage collection starting *** GC 471 2-Oct-2003 13:13:27, 50 ms (1%), 1149943 occupied, 23850007 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q27 from e_21 and e_377. e_377: 0=(q27 + q4)*p7 is replaced by e_447: 0=p7*q4 Step 253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 472 2-Oct-2003 13:13:29, 50 ms (1%), 1148231 occupied, 23851718 free *** Garbage collection starting *** GC 473 2-Oct-2003 13:13:31, 40 ms (1%), 1148573 occupied, 23851377 free *** Garbage collection starting *** GC 474 2-Oct-2003 13:13:33, 40 ms (1%), 1149361 occupied, 23850588 free *** Garbage collection starting *** GC 475 2-Oct-2003 13:13:35, 40 ms (1%), 1150115 occupied, 23849835 free *** Garbage collection starting *** GC 476 2-Oct-2003 13:13:38, 40 ms (1%), 1150835 occupied, 23849114 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q4 from e_447 and e_388. e_388: 0=(q1 - q4)*p7 is replaced by e_85: 0=p7*q1 e_85 is a consequence of e_255. 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 477 2-Oct-2003 13:13:40, 50 ms (1%), 1149623 occupied, 23850327 free *** Garbage collection starting *** GC 478 2-Oct-2003 13:13:42, 50 ms (1%), 1150457 occupied, 23849492 free *** Garbage collection starting *** GC 479 2-Oct-2003 13:13:44, 40 ms (1%), 1150605 occupied, 23849345 free *** Garbage collection starting *** GC 480 2-Oct-2003 13:13:46, 50 ms (1%), 1151095 occupied, 23848854 free *** Garbage collection starting *** GC 481 2-Oct-2003 13:13:49, 50 ms (1%), 1151271 occupied, 23848679 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 482 2-Oct-2003 13:13:54, 40 ms (1%), 1162366 occupied, 23837583 free Eliminate q43 from e_49 and e_495. e_495: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q43,q24,p10,p6) is replaced by e_368: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q24,q23,p10,p6) 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 : *** Garbage collection starting *** GC 483 2-Oct-2003 13:14:00, 40 ms (1%), 1147893 occupied, 23852057 free *** Garbage collection starting *** GC 484 2-Oct-2003 13:14:02, 40 ms (1%), 1149675 occupied, 23850274 free *** Garbage collection starting *** GC 485 2-Oct-2003 13:14:04, 50 ms (1%), 1150435 occupied, 23849515 free *** Garbage collection starting *** GC 486 2-Oct-2003 13:14:06, 40 ms (1%), 1150699 occupied, 23849250 free *** Garbage collection starting *** GC 487 2-Oct-2003 13:14:08, 50 ms (1%), 1151123 occupied, 23848827 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q43 from e_49 and e_615. e_615: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q43,q24,p10,p6) is replaced by e_269: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q24,q23,p10,p6) 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 488 2-Oct-2003 13:14:11, 40 ms (1%), 1149305 occupied, 23850644 free *** Garbage collection starting *** GC 489 2-Oct-2003 13:14:13, 40 ms (1%), 1150283 occupied, 23849667 free *** Garbage collection starting *** GC 490 2-Oct-2003 13:14:15, 50 ms (1%), 1151033 occupied, 23848916 free *** Garbage collection starting *** GC 491 2-Oct-2003 13:14:18, 50 ms (1%), 1151485 occupied, 23848465 free *** Garbage collection starting *** GC 492 2-Oct-2003 13:14:20, 40 ms (1%), 1151915 occupied, 23848034 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_269 and e_58. e_269: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q24,q23,p10,p6) is replaced by e_433: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q23,q22,p10,p6) 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 493 2-Oct-2003 13:14:23, 50 ms (1%), 1148793 occupied, 23851157 free *** Garbage collection starting *** GC 494 2-Oct-2003 13:14:25, 50 ms (1%), 1149133 occupied, 23850816 free *** Garbage collection starting *** GC 495 2-Oct-2003 13:14:27, 50 ms (1%), 1150315 occupied, 23849635 free *** Garbage collection starting *** GC 496 2-Oct-2003 13:14:29, 50 ms (1%), 1151095 occupied, 23848854 free *** Garbage collection starting *** GC 497 2-Oct-2003 13:14:32, 50 ms (1%), 1151941 occupied, 23848009 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_433 and e_368. e_368: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q24,q23,p10,p6) is replaced by e_298: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q23,q22,p10,p6) 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 : *** Garbage collection starting *** GC 498 2-Oct-2003 13:14:34, 40 ms (1%), 1150381 occupied, 23849568 free *** Garbage collection starting *** GC 499 2-Oct-2003 13:14:37, 50 ms (1%), 1151337 occupied, 23848612 free *** Garbage collection starting *** GC 500 2-Oct-2003 13:14:39, 50 ms (1%), 1151607 occupied, 23848341 free *** Garbage collection starting *** GC 501 2-Oct-2003 13:14:41, 50 ms (1%), 1152039 occupied, 23847910 free *** Garbage collection starting *** GC 502 2-Oct-2003 13:14:43, 40 ms (1%), 1152593 occupied, 23847355 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_298 and e_387. e_387: 3 terms, 6 factors, with derivatives of functions of all variables: (q45,q24,q22,p10,p6) is replaced by e_277: 3 terms, 6 factors, with derivatives of functions of all variables: (q24,q23,q22,p10,p6) Step 259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 503 2-Oct-2003 13:14:46, 40 ms (1%), 1149969 occupied, 23849981 free *** Garbage collection starting *** GC 504 2-Oct-2003 13:14:48, 50 ms (1%), 1151143 occupied, 23848806 free *** Garbage collection starting *** GC 505 2-Oct-2003 13:14:51, 40 ms (1%), 1151855 occupied, 23848095 free *** Garbage collection starting *** GC 506 2-Oct-2003 13:14:53, 40 ms (1%), 1152241 occupied, 23847708 free *** Garbage collection starting *** GC 507 2-Oct-2003 13:14:55, 50 ms (1%), 1152531 occupied, 23847419 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_290 and e_282. e_282: 0=(4*q23 - q25 + q45)*p6 is replaced by e_293: 0=(1037*q23 - 215*q25)*p6 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 : *** Garbage collection starting *** GC 508 2-Oct-2003 13:14:58, 50 ms (1%), 1150147 occupied, 23849802 free *** Garbage collection starting *** GC 509 2-Oct-2003 13:15:00, 50 ms (1%), 1151315 occupied, 23848635 free *** Garbage collection starting *** GC 510 2-Oct-2003 13:15:02, 50 ms (1%), 1151937 occupied, 23848012 free *** Garbage collection starting *** GC 511 2-Oct-2003 13:15:05, 50 ms (1%), 1152631 occupied, 23847319 free *** Garbage collection starting *** GC 512 2-Oct-2003 13:15:07, 40 ms (1%), 1152991 occupied, 23846958 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q25 from e_293 and e_273. e_273: 0=(10*q23 - 5*q25 + q44)*p6 is replaced by e_82: 0=(607*q23 - 43*q44)*p6 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 : *** Garbage collection starting *** GC 513 2-Oct-2003 13:15:09, 40 ms (1%), 1150615 occupied, 23849335 free *** Garbage collection starting *** GC 514 2-Oct-2003 13:15:12, 50 ms (1%), 1151073 occupied, 23848876 free *** Garbage collection starting *** GC 515 2-Oct-2003 13:15:14, 50 ms (1%), 1151987 occupied, 23847963 free *** Garbage collection starting *** GC 516 2-Oct-2003 13:15:16, 40 ms (1%), 1152587 occupied, 23847362 free *** Garbage collection starting *** GC 517 2-Oct-2003 13:15:19, 50 ms (1%), 1153057 occupied, 23846892 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_401 and e_358. e_358: 0=43*p10*q24 - 13*p6*q23 is replaced by e_235: 0=(26*q22 - 83*q24)*p10 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 518 2-Oct-2003 13:15:23, 40 ms (1%), 1150571 occupied, 23849378 free *** Garbage collection starting *** GC 519 2-Oct-2003 13:15:26, 50 ms (1%), 1152027 occupied, 23847923 free *** Garbage collection starting *** GC 520 2-Oct-2003 13:15:28, 50 ms (1%), 1152451 occupied, 23847498 free *** Garbage collection starting *** GC 521 2-Oct-2003 13:15:30, 50 ms (1%), 1152775 occupied, 23847175 free *** Garbage collection starting *** GC 522 2-Oct-2003 13:15:33, 50 ms (1%), 1152979 occupied, 23846970 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_235 and e_58. e_58: 3 terms, 6 factors, with derivatives of functions of all variables: (q44,q24,q22,p10,p6) is replaced by e_428: 0=54*p10*q22 - 83*p6*q44 Step 266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 523 2-Oct-2003 13:15:35, 50 ms (1%), 1151171 occupied, 23848779 free *** Garbage collection starting *** GC 524 2-Oct-2003 13:15:38, 50 ms (1%), 1151799 occupied, 23848150 free *** Garbage collection starting *** GC 525 2-Oct-2003 13:15:40, 40 ms (1%), 1151957 occupied, 23847993 free *** Garbage collection starting *** GC 526 2-Oct-2003 13:15:42, 50 ms (1%), 1152113 occupied, 23847836 free *** Garbage collection starting *** GC 527 2-Oct-2003 13:15:45, 40 ms (1%), 1152187 occupied, 23847763 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_235 and e_39. e_39: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q43,q24,q22,p10,p6,p5) is replaced by e_451: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q43,q22,p10,p6,p5) Step 267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 528 2-Oct-2003 13:15:47, 50 ms (1%), 1151269 occupied, 23848681 free *** Garbage collection starting *** GC 529 2-Oct-2003 13:15:50, 40 ms (1%), 1151961 occupied, 23847988 free *** Garbage collection starting *** GC 530 2-Oct-2003 13:15:52, 50 ms (1%), 1152255 occupied, 23847695 free *** Garbage collection starting *** GC 531 2-Oct-2003 13:15:54, 50 ms (1%), 1152439 occupied, 23847510 free *** Garbage collection starting *** GC 532 2-Oct-2003 13:15:57, 50 ms (1%), 1153059 occupied, 23846891 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 533 2-Oct-2003 13:16:03, 50 ms (1%), 1203896 occupied, 23796034 free Eliminate q43 from e_49 and e_451. e_451: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q43,q22,p10,p6,p5) is replaced by e_95: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q23,q22,p10,p6,p5) Step 268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 534 2-Oct-2003 13:16:05, 50 ms (1%), 1152257 occupied, 23847693 free *** Garbage collection starting *** GC 535 2-Oct-2003 13:16:08, 50 ms (1%), 1153277 occupied, 23846672 free *** Garbage collection starting *** GC 536 2-Oct-2003 13:16:10, 50 ms (1%), 1153751 occupied, 23846199 free *** Garbage collection starting *** GC 537 2-Oct-2003 13:16:13, 50 ms (1%), 1154033 occupied, 23845916 free *** Garbage collection starting *** GC 538 2-Oct-2003 13:16:15, 50 ms (1%), 1154415 occupied, 23845535 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 539 2-Oct-2003 13:16:21, 50 ms (1%), 1216855 occupied, 23783079 free *** Garbage collection starting *** GC 540 2-Oct-2003 13:16:27, 50 ms (1%), 1194611 occupied, 23805325 free Eliminate q46 from e_62 and e_350. e_350: 0=p10*q22 - p5*q46 - p6*q42 is replaced by e_225: 3 terms, 6 factors, with derivatives of functions of all variables: (q42,q23,q22,p10,p6) 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 : *** Garbage collection starting *** GC 541 2-Oct-2003 13:16:30, 40 ms (1%), 1152415 occupied, 23847535 free *** Garbage collection starting *** GC 542 2-Oct-2003 13:16:32, 50 ms (1%), 1153457 occupied, 23846492 free *** Garbage collection starting *** GC 543 2-Oct-2003 13:16:34, 50 ms (1%), 1154195 occupied, 23845755 free *** Garbage collection starting *** GC 544 2-Oct-2003 13:16:37, 50 ms (1%), 1154533 occupied, 23845416 free *** Garbage collection starting *** GC 545 2-Oct-2003 13:16:39, 50 ms (1%), 1154901 occupied, 23845049 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q37 from e_146 and e_239. e_239: 4 terms, 8 factors, with derivatives of functions of all variables: (q37,q29,q13,q5,p5,p1) is replaced by e_323: 4 terms, 8 factors, with derivatives of functions of all variables: (q29,q13,q5,q2,p5,p1) 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 546 2-Oct-2003 13:16:44, 50 ms (1%), 1152123 occupied, 23847826 free *** Garbage collection starting *** GC 547 2-Oct-2003 13:16:46, 50 ms (1%), 1153241 occupied, 23846709 free *** Garbage collection starting *** GC 548 2-Oct-2003 13:16:49, 50 ms (1%), 1154045 occupied, 23845904 free *** Garbage collection starting *** GC 549 2-Oct-2003 13:16:51, 40 ms (1%), 1154607 occupied, 23845343 free *** Garbage collection starting *** GC 550 2-Oct-2003 13:16:53, 50 ms (1%), 1154881 occupied, 23845068 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_323 and e_146. e_146: 4 terms, 8 factors, with derivatives of functions of all variables: (q37,q29,q13,q2,p5,p1) is replaced by e_193: 3 terms, 6 factors, with derivatives of functions of all variables: (q37,q5,q2,p5,p1) Step 273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms 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 551 2-Oct-2003 13:16:57, 50 ms (1%), 1152021 occupied, 23847929 free *** Garbage collection starting *** GC 552 2-Oct-2003 13:17:00, 50 ms (1%), 1153485 occupied, 23846464 free *** Garbage collection starting *** GC 553 2-Oct-2003 13:17:02, 50 ms (1%), 1154493 occupied, 23845457 free *** Garbage collection starting *** GC 554 2-Oct-2003 13:17:05, 50 ms (1%), 1154925 occupied, 23845024 free *** Garbage collection starting *** GC 555 2-Oct-2003 13:17:07, 50 ms (1%), 1155421 occupied, 23844529 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 556 2-Oct-2003 13:17:13, 50 ms (1%), 1165510 occupied, 23834438 free Eliminate q23 from e_401 and e_62. e_62: 0=430*p5*q46 - 221*p6*q23 is replaced by e_366: 0=221*p10*q22 - 415*p5*q46 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 557 2-Oct-2003 13:17:18, 50 ms (1%), 1152143 occupied, 23847805 free *** Garbage collection starting *** GC 558 2-Oct-2003 13:17:21, 40 ms (1%), 1152797 occupied, 23847152 free *** Garbage collection starting *** GC 559 2-Oct-2003 13:17:23, 50 ms (1%), 1154057 occupied, 23845890 free *** Garbage collection starting *** GC 560 2-Oct-2003 13:17:26, 50 ms (1%), 1154767 occupied, 23845181 free *** Garbage collection starting *** GC 561 2-Oct-2003 13:17:28, 50 ms (1%), 1155373 occupied, 23844574 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q42 from e_365 and e_478. e_478: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q44,q42,q24,p10,p6,p5) is replaced by e_92: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q44,q24,q23,p10,p6,p5) 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 : *** Garbage collection starting *** GC 562 2-Oct-2003 13:17:34, 50 ms (1%), 1154015 occupied, 23845934 free --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 563 2-Oct-2003 13:17:37, 50 ms (1%), 1153991 occupied, 23845957 free *** Garbage collection starting *** GC 564 2-Oct-2003 13:17:39, 50 ms (1%), 1154373 occupied, 23845575 free *** Garbage collection starting *** GC 565 2-Oct-2003 13:17:42, 50 ms (1%), 1155263 occupied, 23844684 free *** Garbage collection starting *** GC 566 2-Oct-2003 13:17:44, 50 ms (1%), 1155825 occupied, 23844123 free *** Garbage collection starting *** GC 567 2-Oct-2003 13:17:47, 40 ms (1%), 1156155 occupied, 23843792 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_82 and e_92. e_92: 4 terms, 8 factors, with derivatives of functions of all variables: (q46,q44,q24,q23,p10,p6,p5) is replaced by e_276: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q24,q23,p10,p6,p5) 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 568 2-Oct-2003 13:17:49, 50 ms (1%), 1154349 occupied, 23845600 free *** Garbage collection starting *** GC 569 2-Oct-2003 13:17:52, 50 ms (1%), 1155117 occupied, 23844831 free *** Garbage collection starting *** GC 570 2-Oct-2003 13:17:54, 50 ms (1%), 1155729 occupied, 23844220 free *** Garbage collection starting *** GC 571 2-Oct-2003 13:17:57, 50 ms (1%), 1156033 occupied, 23843915 free *** Garbage collection starting *** GC 572 2-Oct-2003 13:17:59, 40 ms (1%), 1156147 occupied, 23843802 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q24 from e_235 and e_276. e_276: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q24,q23,p10,p6,p5) is replaced by e_359: 3 terms, 6 factors, with derivatives of functions of all variables: (q46,q23,q22,p10,p6,p5) Step 278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 573 2-Oct-2003 13:18:02, 50 ms (1%), 1154037 occupied, 23845911 free *** Garbage collection starting *** GC 574 2-Oct-2003 13:18:05, 50 ms (1%), 1154881 occupied, 23845068 free *** Garbage collection starting *** GC 575 2-Oct-2003 13:18:07, 50 ms (1%), 1155595 occupied, 23844353 free *** Garbage collection starting *** GC 576 2-Oct-2003 13:18:10, 40 ms (1%), 1156309 occupied, 23843639 free *** Garbage collection starting *** GC 577 2-Oct-2003 13:18:12, 40 ms (1%), 1156673 occupied, 23843274 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q46 from e_614 and e_366. e_614: 0=1935*p5*q46 - 19397*p6*q23 is replaced by e_617: 0=5031*p10*q22 - 94703*p6*q23 Step 280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 578 2-Oct-2003 13:18:15, 40 ms (1%), 1153849 occupied, 23846102 free *** Garbage collection starting *** GC 579 2-Oct-2003 13:18:17, 50 ms (1%), 1154497 occupied, 23845453 free *** Garbage collection starting *** GC 580 2-Oct-2003 13:18:20, 40 ms (1%), 1155241 occupied, 23844710 free *** Garbage collection starting *** GC 581 2-Oct-2003 13:18:22, 40 ms (1%), 1155655 occupied, 23844295 free *** Garbage collection starting *** GC 582 2-Oct-2003 13:18:24, 50 ms (1%), 1156035 occupied, 23843916 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_68 and e_82. e_82: 0=(607*q23 - 43*q44)*p6 is replaced by e_426: 0=p6*q23 e_426 is a consequence of e_246. 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 583 2-Oct-2003 13:18:27, 50 ms (1%), 1154405 occupied, 23845545 free *** Garbage collection starting *** GC 584 2-Oct-2003 13:18:29, 40 ms (1%), 1155581 occupied, 23844370 free *** Garbage collection starting *** GC 585 2-Oct-2003 13:18:31, 40 ms (1%), 1156093 occupied, 23843857 free *** Garbage collection starting *** GC 586 2-Oct-2003 13:18:33, 40 ms (1%), 1156385 occupied, 23843566 free *** Garbage collection starting *** GC 587 2-Oct-2003 13:18:36, 50 ms (1%), 1156721 occupied, 23843229 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q22 from e_9 and e_235. e_235: 0=(26*q22 - 83*q24)*p10 is replaced by e_572: 0=p10*q24 Step 286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 588 2-Oct-2003 13:18:38, 50 ms (1%), 1153989 occupied, 23845962 free *** Garbage collection starting *** GC 589 2-Oct-2003 13:18:40, 50 ms (1%), 1154743 occupied, 23845207 free *** Garbage collection starting *** GC 590 2-Oct-2003 13:18:43, 40 ms (1%), 1155365 occupied, 23844586 free *** Garbage collection starting *** GC 591 2-Oct-2003 13:18:45, 50 ms (1%), 1155779 occupied, 23844171 free *** Garbage collection starting *** GC 592 2-Oct-2003 13:18:47, 40 ms (1%), 1156061 occupied, 23843890 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_246 and e_365. e_365: 0=(97*q23 - 215*q42)*p6 is replaced by e_317: 0=p6*q42 Step 287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 593 2-Oct-2003 13:18:50, 50 ms (1%), 1154223 occupied, 23845727 free *** Garbage collection starting *** GC 594 2-Oct-2003 13:18:52, 50 ms (1%), 1155129 occupied, 23844822 free *** Garbage collection starting *** GC 595 2-Oct-2003 13:18:54, 40 ms (1%), 1155761 occupied, 23844189 free *** Garbage collection starting *** GC 596 2-Oct-2003 13:18:57, 40 ms (1%), 1156259 occupied, 23843692 free *** Garbage collection starting *** GC 597 2-Oct-2003 13:18:59, 50 ms (1%), 1156697 occupied, 23843253 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q23 from e_246 and e_293. e_293: 0=(1037*q23 - 215*q25)*p6 is replaced by e_3: 0=p6*q25 Step 288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 598 2-Oct-2003 13:19:02, 50 ms (1%), 1154427 occupied, 23845524 free *** Garbage collection starting *** GC 599 2-Oct-2003 13:19:04, 50 ms (1%), 1155271 occupied, 23844679 free *** Garbage collection starting *** GC 600 2-Oct-2003 13:19:06, 50 ms (1%), 1155953 occupied, 23843998 free *** Garbage collection starting *** GC 601 2-Oct-2003 13:19:09, 50 ms (1%), 1156729 occupied, 23843221 free *** Garbage collection starting *** GC 602 2-Oct-2003 13:19:11, 50 ms (1%), 1157065 occupied, 23842886 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q23 from e_246 and e_49. e_49: 0=(q23 - q43)*p6 is replaced by e_593: 0=p6*q43 Step 289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 603 2-Oct-2003 13:19:14, 50 ms (1%), 1154891 occupied, 23845059 free *** Garbage collection starting *** GC 604 2-Oct-2003 13:19:16, 40 ms (1%), 1155829 occupied, 23844122 free *** Garbage collection starting *** GC 605 2-Oct-2003 13:19:18, 40 ms (1%), 1156431 occupied, 23843519 free *** Garbage collection starting *** GC 606 2-Oct-2003 13:19:21, 50 ms (1%), 1156887 occupied, 23843064 free *** Garbage collection starting *** GC 607 2-Oct-2003 13:19:23, 50 ms (1%), 1157181 occupied, 23842769 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q42 from e_317 and e_375. e_375: 0=(6*q42 + 4*q44 - q45)*p6 is replaced by e_319: 0=(4*q44 - q45)*p6 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 608 2-Oct-2003 13:19:26, 40 ms (1%), 1155197 occupied, 23844754 free *** Garbage collection starting *** GC 609 2-Oct-2003 13:19:29, 50 ms (1%), 1155963 occupied, 23843987 free *** Garbage collection starting *** GC 610 2-Oct-2003 13:19:31, 40 ms (1%), 1156521 occupied, 23843430 free *** Garbage collection starting *** GC 611 2-Oct-2003 13:19:34, 40 ms (1%), 1156915 occupied, 23843036 free *** Garbage collection starting *** GC 612 2-Oct-2003 13:19:36, 50 ms (1%), 1157285 occupied, 23842665 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q44 from e_68 and e_319. e_319: 0=(4*q44 - q45)*p6 is replaced by e_208: 0=p6*q45 Step 291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 613 2-Oct-2003 13:19:39, 50 ms (1%), 1155571 occupied, 23844380 free *** Garbage collection starting *** GC 614 2-Oct-2003 13:19:41, 50 ms (1%), 1156317 occupied, 23843633 free *** Garbage collection starting *** GC 615 2-Oct-2003 13:19:43, 50 ms (1%), 1156997 occupied, 23842954 free *** Garbage collection starting *** GC 616 2-Oct-2003 13:19:46, 50 ms (1%), 1157639 occupied, 23842311 free *** Garbage collection starting *** GC 617 2-Oct-2003 13:19:48, 50 ms (1%), 1157855 occupied, 23842096 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q45 from e_208 and e_290. e_290: 0=(177*q23 - 215*q45)*p6 is replaced by e_130: 0=p6*q23 e_130 is a consequence of e_246. Step 292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 618 2-Oct-2003 13:19:51, 40 ms (1%), 1156685 occupied, 23843265 free *** Garbage collection starting *** GC 619 2-Oct-2003 13:19:53, 50 ms (1%), 1157601 occupied, 23842350 free *** Garbage collection starting *** GC 620 2-Oct-2003 13:19:56, 40 ms (1%), 1158083 occupied, 23841867 free *** Garbage collection starting *** GC 621 2-Oct-2003 13:19:58, 40 ms (1%), 1158499 occupied, 23841452 free *** Garbage collection starting *** GC 622 2-Oct-2003 13:20:01, 50 ms (1%), 1158723 occupied, 23841227 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 623 2-Oct-2003 13:20:07, 50 ms (1%), 1234022 occupied, 23765911 free *** Garbage collection starting *** GC 624 2-Oct-2003 13:20:13, 50 ms (1%), 1233025 occupied, 23766907 free Eliminate q32 from e_145 and e_481. e_481: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q34,q32,q26,q14,p7,p6) is replaced by e_356: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q34,q26,q14,q8,p7,p6) Step 293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 625 2-Oct-2003 13:20:18, 50 ms (1%), 1155325 occupied, 23844626 free *** Garbage collection starting *** GC 626 2-Oct-2003 13:20:21, 50 ms (1%), 1155887 occupied, 23844063 free *** Garbage collection starting *** GC 627 2-Oct-2003 13:20:23, 50 ms (1%), 1157203 occupied, 23842748 free *** Garbage collection starting *** GC 628 2-Oct-2003 13:20:26, 40 ms (1%), 1158141 occupied, 23841810 free *** Garbage collection starting *** GC 629 2-Oct-2003 13:20:28, 50 ms (1%), 1158893 occupied, 23841057 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 630 2-Oct-2003 13:20:34, 50 ms (1%), 1178951 occupied, 23821000 free *** Garbage collection starting *** GC 631 2-Oct-2003 13:20:40, 50 ms (1%), 1202464 occupied, 23797472 free *** Garbage collection starting *** GC 632 2-Oct-2003 13:20:47, 50 ms (1%), 1225365 occupied, 23774570 free Eliminate q28 from e_554 and e_440. e_440: 5 terms, 10 factors, with derivatives of functions of all variables: (q43,q28,q27,q23,p6,p5,p3) is replaced by e_448: 5 terms, 10 factors, with derivatives of functions of all variables: (q43,q27,q23,p6,p5,p3,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 : *** Garbage collection starting *** GC 633 2-Oct-2003 13:20:50, 40 ms (1%), 1157025 occupied, 23842925 free *** Garbage collection starting *** GC 634 2-Oct-2003 13:20:52, 50 ms (1%), 1158291 occupied, 23841659 free *** Garbage collection starting *** GC 635 2-Oct-2003 13:20:55, 50 ms (1%), 1158891 occupied, 23841058 free *** Garbage collection starting *** GC 636 2-Oct-2003 13:20:57, 40 ms (1%), 1159283 occupied, 23840666 free *** Garbage collection starting *** GC 637 2-Oct-2003 13:21:00, 50 ms (1%), 1159335 occupied, 23840613 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q34 from e_143 and e_356. e_356: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q34,q26,q14,q8,p7,p6) is replaced by e_400: 5 terms, 10 factors, with derivatives of functions of all variables: (q35,q26,q14,q10,q8,p7,p6) 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 : *** Garbage collection starting *** GC 638 2-Oct-2003 13:21:04, 50 ms (1%), 1156459 occupied, 23843492 free *** Garbage collection starting *** GC 639 2-Oct-2003 13:21:06, 50 ms (1%), 1157663 occupied, 23842287 free *** Garbage collection starting *** GC 640 2-Oct-2003 13:21:09, 50 ms (1%), 1158789 occupied, 23841162 free *** Garbage collection starting *** GC 641 2-Oct-2003 13:21:12, 50 ms (1%), 1159073 occupied, 23840877 free *** Garbage collection starting *** GC 642 2-Oct-2003 13:21:14, 50 ms (1%), 1159599 occupied, 23840352 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 643 2-Oct-2003 13:21:20, 50 ms (1%), 1204508 occupied, 23795424 free *** Garbage collection starting *** GC 644 2-Oct-2003 13:21:26, 40 ms (1%), 1170722 occupied, 23829229 free Eliminate q32 from e_145 and e_30. e_30: 5 terms, 10 factors, with derivatives of functions of all variables: (q46,q32,q11,q9,p10,p6,p3,p1) is replaced by e_263: 5 terms, 10 factors, with derivatives of functions of all variables: (q46,q11,q9,q8,p10,p6,p3,p1) 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 : *** Garbage collection starting *** GC 645 2-Oct-2003 13:21:33, 50 ms (1%), 1156455 occupied, 23843496 free *** Garbage collection starting *** GC 646 2-Oct-2003 13:21:35, 40 ms (1%), 1157277 occupied, 23842674 free *** Garbage collection starting *** GC 647 2-Oct-2003 13:21:38, 40 ms (1%), 1158469 occupied, 23841481 free *** Garbage collection starting *** GC 648 2-Oct-2003 13:21:40, 50 ms (1%), 1159249 occupied, 23840702 free *** Garbage collection starting *** GC 649 2-Oct-2003 13:21:43, 50 ms (1%), 1159647 occupied, 23840303 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 650 2-Oct-2003 13:21:49, 50 ms (1%), 1226274 occupied, 23773652 free *** Garbage collection starting *** GC 651 2-Oct-2003 13:21:55, 50 ms (1%), 1223747 occupied, 23776182 free Eliminate q29 from e_355 and e_566. e_566: 5 terms, 10 factors, with derivatives of functions of all variables: (q43,q34,q29,q24,q10,p7,p6,p5) is replaced by e_368: 5 terms, 10 factors, with derivatives of functions of all variables: (q43,q34,q24,q10,q8,p7,p5) Step 297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 652 2-Oct-2003 13:21:59, 50 ms (1%), 1157539 occupied, 23842412 free *** Garbage collection starting *** GC 653 2-Oct-2003 13:22:01, 40 ms (1%), 1158557 occupied, 23841394 free *** Garbage collection starting *** GC 654 2-Oct-2003 13:22:04, 40 ms (1%), 1159441 occupied, 23840510 free *** Garbage collection starting *** GC 655 2-Oct-2003 13:22:07, 50 ms (1%), 1160187 occupied, 23839764 free *** Garbage collection starting *** GC 656 2-Oct-2003 13:22:09, 50 ms (1%), 1160505 occupied, 23839446 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q29 from e_355 and e_374. e_374: 5 terms, 10 factors, with derivatives of functions of all variables: (q45,q35,q29,q24,q14,p7,p6,p5) is replaced by e_394: 5 terms, 10 factors, with derivatives of functions of all variables: (q45,q35,q24,q14,q8,p7,p5) 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 657 2-Oct-2003 13:22:13, 50 ms (1%), 1157813 occupied, 23842137 free *** Garbage collection starting *** GC 658 2-Oct-2003 13:22:16, 50 ms (1%), 1158543 occupied, 23841408 free *** Garbage collection starting *** GC 659 2-Oct-2003 13:22:18, 50 ms (1%), 1159411 occupied, 23840539 free *** Garbage collection starting *** GC 660 2-Oct-2003 13:22:21, 50 ms (1%), 1160143 occupied, 23839808 free *** Garbage collection starting *** GC 661 2-Oct-2003 13:22:23, 40 ms (1%), 1160625 occupied, 23839325 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q46 from e_98 and e_519. e_519: 9 terms, 18 factors, with derivatives of functions of all variables: (q46,q35,q34,q33,q20,q15,q12,p10,p4,p3,p1) is replaced by e_94: 9 terms, 18 factors, with derivatives of functions of all variables: (q35,q34,q33,q20,q15,q12,p10,p3,p1) 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 662 2-Oct-2003 13:22:28, 50 ms (1%), 1158689 occupied, 23841262 free *** Garbage collection starting *** GC 663 2-Oct-2003 13:22:30, 50 ms (1%), 1160099 occupied, 23839851 free *** Garbage collection starting *** GC 664 2-Oct-2003 13:22:33, 50 ms (1%), 1161055 occupied, 23838896 free *** Garbage collection starting *** GC 665 2-Oct-2003 13:22:36, 50 ms (1%), 1161525 occupied, 23838425 free *** Garbage collection starting *** GC 666 2-Oct-2003 13:22:38, 50 ms (1%), 1161941 occupied, 23838010 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q32 from e_271 and e_579. e_579: 6 terms, 12 factors, with derivatives of functions of all variables: (q43,q32,q27,q23,q1,p6,p5,p1) is replaced by e_285: 6 terms, 12 factors, with derivatives of functions of all variables: (q43,q27,q23,q2,q1,p6,p5,p1) Step 300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 667 2-Oct-2003 13:22:42, 50 ms (1%), 1158977 occupied, 23840973 free *** Garbage collection starting *** GC 668 2-Oct-2003 13:22:45, 40 ms (1%), 1160195 occupied, 23839756 free *** Garbage collection starting *** GC 669 2-Oct-2003 13:22:48, 40 ms (1%), 1161323 occupied, 23838627 free *** Garbage collection starting *** GC 670 2-Oct-2003 13:22:50, 50 ms (1%), 1161847 occupied, 23838104 free *** Garbage collection starting *** GC 671 2-Oct-2003 13:22:53, 40 ms (1%), 1162029 occupied, 23837921 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q37 from e_193 and e_2. e_2: 6 terms, 12 factors, with derivatives of functions of all variables: (q37,q28,q27,q4,q2,p5,p3,p1) is replaced by e_298: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q27,q5,q4,q2,p5,p3,p1) Step 301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 672 2-Oct-2003 13:22:59, 50 ms (1%), 1159059 occupied, 23840892 free *** Garbage collection starting *** GC 673 2-Oct-2003 13:23:01, 40 ms (1%), 1160553 occupied, 23839396 free *** Garbage collection starting *** GC 674 2-Oct-2003 13:23:04, 50 ms (1%), 1161391 occupied, 23838559 free *** Garbage collection starting *** GC 675 2-Oct-2003 13:23:06, 50 ms (1%), 1162017 occupied, 23837932 free *** Garbage collection starting *** GC 676 2-Oct-2003 13:23:09, 50 ms (1%), 1162147 occupied, 23837803 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : Eliminate q37 from e_193 and e_513. e_513: 8 terms, 16 factors, with derivatives of functions of all variables: (q40,q37,q29,q17,q5,p5,p3,p1) is replaced by e_275: 8 terms, 16 factors, with derivatives of functions of all variables: (q40,q29,q17,q5,q2,p5,p3,p1) Step 302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 677 2-Oct-2003 13:23:14, 50 ms (1%), 1159479 occupied, 23840470 free *** Garbage collection starting *** GC 678 2-Oct-2003 13:23:17, 50 ms (1%), 1160617 occupied, 23839333 free *** Garbage collection starting *** GC 679 2-Oct-2003 13:23:20, 50 ms (1%), 1161415 occupied, 23838534 free *** Garbage collection starting *** GC 680 2-Oct-2003 13:23:22, 50 ms (1%), 1162297 occupied, 23837653 free *** Garbage collection starting *** GC 681 2-Oct-2003 13:23:25, 50 ms (1%), 1162439 occupied, 23837511 free Stop of a subroutine. Number of garbage collections exceeds max_gc_short. --- Length reducing decoupling steps : *** Garbage collection starting *** GC 682 2-Oct-2003 13:23:31, 50 ms (1%), 1184306 occupied, 23815643 free *** Garbage collection starting *** GC 683 2-Oct-2003 13:23:38, 50 ms (1%), 1209545 occupied, 23790383 free *** Garbage collection starting *** GC 684 2-Oct-2003 13:23:44, 50 ms (1%), 1165802 occupied, 23834146 free *** Garbage collection starting *** GC 685 2-Oct-2003 13:23:50, 50 ms (1%), 1216453 occupied, 23783475 free *** Garbage collection starting *** GC 686 2-Oct-2003 13:23:57, 50 ms (1%), 1205012 occupied, 23794922 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_216 we get the alternative equations : 0=p7 0=q28 New level : 1.1.1.1. CRACK is now called with the new equation e_478 : 0=p7 e_56,e_475,e_406,e_557,e_183,e_334,e_266,e_552,e_565,e_582,e_86,e_487,e_338,e_74 ,e_196,e_125,e_279,e_308,e_40,e_255,e_21,e_330,e_333,e_553,e_339,e_438,e_447 are consequences of e_478 Step 303: Hot list of urgent steps : The list of inequalities got extended by: p10 The lexicographical ordering of unknowns is changed because p10 has to be non-zero, giving p10 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p7,p6,p5,p4,p3,p1 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p7,p6,p5,p4,p3,p1,p10 e_1 is a consequence of e_337 Substitution of p7 found in e_478 : p7=0 Step 304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: An expression with 25 terms e_12 is a consequence of e_244. Substitution of q2 found in e_128 : q2=0 Step 305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 24 terms e_401 is a consequence of e_458. Substitution of q5 found in e_244 : q5=0 Step 306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 23 terms Substitution of q4 found in e_352 : q4=0 Step 307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 22 terms Substitution of q1 found in e_369 : q1=0 Step 308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms e_49 is a consequence of e_458. e_316 is a consequence of e_224. Substitution of q13 found in e_516 : q13=0 Step 309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms Substitution of q16 found in e_264 : q16=0 Step 310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms Substitution of q18 found in e_364 : q18=0 Step 311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms Substitution of q17 found in e_485 : q17=0 Step 312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 14 terms e_82 is a consequence of e_294. e_428 is a consequence of e_294. Substitution of q29 found in e_224 : q29=0 Step 313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms Substitution of q40 found in e_294 : q40=0 Step 314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_629 is a consequence of e_337. Substitution of q38 found in e_432 : q38=0 Step 315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms e_638 is a consequence of e_322. e_319 is a consequence of e_130. e_375 is a consequence of e_353. e_676 is a consequence of e_628. e_562 is a consequence of e_130. Substitution of q37 found in e_458 : q37=0 Step 316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 15 terms e_666 is a consequence of e_335. e_617 is a consequence of e_337. e_564 is a consequence of e_426. e_365 is a consequence of e_320. e_590 is a consequence of e_320. e_366 is a consequence of e_335. Substitution of q28 found in e_322 : q28=0 Step 317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_10 is a consequence of e_337. e_607 is a consequence of e_337. e_6 is a consequence of e_337. Substitution of q21 found in e_272 : q21=0 Step 318: Hot list 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 12 terms e_293 is a consequence of e_175. e_235 is a consequence of e_337. e_257 is a consequence of e_175. e_594 is a consequence of e_175. *** Garbage collection starting *** GC 687 2-Oct-2003 13:24:00, 50 ms (1%), 1156471 occupied, 23843479 free Substitution of q27 found in e_335 : q27=0 Step 319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 11 terms e_649 is a consequence of e_92. e_426 is a consequence of e_337. e_674 is a consequence of e_655. e_675 is a consequence of e_655. e_658 is a consequence of e_449. Substitution of q30 found in e_404 : q30=0 Step 320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q22 found in e_9 : q22=0 Step 321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 9 terms Substitution of q24 found in e_572 : q24=0 Step 322: Hot list 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_614 is a consequence of e_92. e_276 is a consequence of e_92. e_435 is a consequence of e_353. Substitution of q41 found in e_337 : q41=0 Step 323: Hot list 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_656 is a consequence of e_655. Substitution of q36 found in e_92 : q36=0 Step 324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 11 terms e_473 is a consequence of e_246. e_573 is a consequence of e_495. Substitution of q43 by an expression in q23 found in e_320 : q43=q23 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 : The list of inequalities got extended by: An expression with 11 terms e_437 is a consequence of e_212. Substitution of q32 by an expression in q8 found in e_353 : q32=q8 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 : The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 12 terms e_624 is a consequence of e_175. Substitution of q45 by an expression in q25, q23 found in e_44 : q45=3*q23 + q25 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 : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 13 terms e_622 is a consequence of e_655. Substitution of q44 by an expression in q25, q23 found in e_43 : q44= - 3*q23 - 2*q25 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 : The list of inequalities got extended by: An expression with 14 terms e_642 is a consequence of e_130. Substitution of q34 by an expression in q10, q8 found in e_567 : q34=q10 + 3*q8 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 : The list of inequalities got extended by: An expression with 16 terms Substitution of q35 by an expression in q14, q10, q8 found in e_412 : 7 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 19 terms Substitution of q33 by an expression in q31, q14, q10, q8 found in e_434 : 7 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 15 terms Substitution of q26 by an expression in q46, p6, p10 found in e_11 : p6*q46 q26=-------- p10 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 : The list of inequalities got extended by: An expression with 16 terms Substitution of q7 by an expression in q46, q31, p6, p1, p10 found in e_327 : p1*q46 + p6*q31 q7=----------------- p10 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 : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q6 by an expression in q42, q31, p5, p1, p10 found in e_321 : p1*q42 + p5*q31 q6=----------------- p10 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 : The list of inequalities got extended by: An expression with 18 terms e_633 is a consequence of e_130. Substitution of q19 by an expression in q31, q8, p4, p10 found in e_631 : 7 factors in 3 terms Step 335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms Substitution of q12 by an expression in q46, q31, p4, p1, p10 found in e_620 : 7 factors in 3 terms 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 : The list of inequalities got extended by: An expression with 21 terms Substitution of q20 by an expression in q14, q10, q8, p3, p10 found in e_651 : 13 factors in 4 terms 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 : The list of inequalities got extended by: An expression with 23 terms Substitution of q15 by an expression in q14, q10, q8, p1, p10 found in e_669 : 11 factors in 4 terms Step 338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 688 2-Oct-2003 13:24:03, 40 ms (1%), 1155021 occupied, 23844928 free The list of inequalities got extended by: An expression with 26 terms Substitution of q11 by an expression in q46, q9, q8, p6, p3, p1, p10 found in e_263 : 17 factors in 5 terms 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 : The list of inequalities got extended by: An expression with 31 terms Substitution of q9 by an expression in q31, q14, q10, q8, p6, p10 found in e_630 : 14 factors in 5 terms Step 340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 386: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 34 terms Substitution of q3 by an expression in q42, q14, q10, p5, p3, p10 found in e_107 : 13 factors in 5 terms Step 396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 689 2-Oct-2003 13:24:07, 50 ms (1%), 1156237 occupied, 23843713 free shortening by 1 term Step 408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_565 is a consequence of e_327. 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 e_224 is a consequence of e_327. 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 e_620 is a consequence of e_327. 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 e_564 is a consequence of e_327. 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 2 terms Step 433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 690 2-Oct-2003 13:24:10, 50 ms (1%), 1155641 occupied, 23844308 free --- Algebraic length reduction of equations : shortening by 1 term Step 459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 691 2-Oct-2003 13:24:14, 40 ms (1%), 1155173 occupied, 23844777 free *** Garbage collection starting *** GC 692 2-Oct-2003 13:24:20, 50 ms (1%), 1158495 occupied, 23841454 free shortening by 1 term Step 463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 693 2-Oct-2003 13:24:28, 40 ms (1%), 1160815 occupied, 23839135 free --- Length reducing decoupling steps : Eliminate q31 from e_629 and e_244. e_244: 0=(8*q14 - q31)*p1 is replaced by e_615: 0=p1*q14 e_615 is a consequence of e_131. Step 466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_364 and e_671. e_671: 0=(q10 + 2*q8)*p1 is replaced by e_388: 0=p1*q8 e_388 is a consequence of e_641. Step 467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q8 from e_57 and e_613. e_613: 0=(q10 - q8)*p6 is replaced by e_634: 0=p6*q10 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 : *** Garbage collection starting *** GC 694 2-Oct-2003 13:24:44, 40 ms (1%), 1158519 occupied, 23841430 free --- Length reducing decoupling steps : Eliminate q23 from e_637 and e_636. e_636: 0=(2*q23 + q25)*p1 is replaced by e_426: 0=p1*q25 Step 471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_95 and e_269. e_269: 0=(4*q31 - q8)*p5 is replaced by e_564: 0=p5*q8 e_564 is a consequence of e_212. Step 480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_628 and e_663. e_663: 0=(q10 + q8)*p4 is replaced by e_128: 0=p4*q8 e_128 is a consequence of e_130. Step 481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_655 and e_356. e_356: 0=(q23 + q25)*p4 is replaced by e_141: 0=p4*q23 e_141 is a consequence of e_175. 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 : --- Length reducing decoupling steps : Eliminate q23 from e_175 and e_359. e_359: 0=(q23 + q42)*p4 is replaced by e_416: 0=p4*q42 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 : --- Length reducing decoupling steps : Eliminate q42 from e_416 and e_616. e_616: 0=(q23 - q42)*p4 is replaced by e_183: 0=p4*q23 e_183 is a consequence of e_175. 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 : --- Length reducing decoupling steps : Eliminate q8 from e_212 and e_639. e_639: 0=(q23 - 4*q8)*p5 is replaced by e_383: 0=p5*q23 Step 485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 695 2-Oct-2003 13:24:52, 50 ms (1%), 1157981 occupied, 23841969 free --- Length reducing decoupling steps : Eliminate q25 from e_3 and e_459. e_459: 0=p6*(3*q23 + 2*q25) is replaced by e_9: 0=p6*q23 e_9 is a consequence of e_246. 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 q25 from e_3 and e_450. e_450: 0=p6*(3*q23 + q25) is replaced by e_272: 0=p6*q23 e_272 is a consequence of e_246. 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 q23 from e_383 and e_224. e_224: 0=(q10 + 4*q23 + 2*q25)*p5 is replaced by e_614: 0=(q10 + 2*q25)*p5 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 q23 from e_383 and e_15. e_15: 0=(3*q10 - q23 - 5*q8)*p5 is replaced by e_263: 0=(3*q10 - 5*q8)*p5 Step 493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q8 from e_212 and e_263. e_263: 0=(3*q10 - 5*q8)*p5 is replaced by e_386: 0=p5*q10 Step 494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_386 and e_614. e_614: 0=(q10 + 2*q25)*p5 is replaced by e_239: 0=p5*q25 Step 497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 696 2-Oct-2003 13:25:00, 50 ms (1%), 1158001 occupied, 23841948 free --- Length reducing decoupling steps : Eliminate q42 from e_416 and e_449. e_449: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q42,q25,q23,p4) is replaced by e_106: 0=(3*q23 + 2*q25)*p4 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 q25 from e_655 and e_106. e_106: 0=(3*q23 + 2*q25)*p4 is replaced by e_170: 0=p4*q23 e_170 is a consequence of e_175. 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 q42 from e_416 and e_657. e_657: 0=(3*q23 + q25 + 3*q42)*p4 is replaced by e_607: 0=(3*q23 + q25)*p4 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 q25 from e_655 and e_607. e_607: 0=(3*q23 + q25)*p4 is replaced by e_39: 0=p4*q23 e_39 is a consequence of e_175. 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 q42 from e_257 and e_621. e_621: 0=(2*q23 + q25 + 2*q42)*p1 is replaced by e_423: 0=(2*q23 + q25)*p1 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 q25 from e_426 and e_423. e_423: 0=(2*q23 + q25)*p1 is replaced by e_622: 0=p1*q23 e_622 is a consequence of e_637. 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 q42 from e_257 and e_632. e_632: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q42,q25,q23,p1) is replaced by e_451: 0=(3*q23 + 2*q25)*p1 Step 506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_426 and e_451. e_451: 0=(3*q23 + 2*q25)*p1 is replaced by e_107: 0=p1*q23 e_107 is a consequence of e_637. Step 507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_634 and e_125. e_125: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q14,q10,p6) is replaced by e_579: 0=(870*q14 - 529*q31)*p6 Step 508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_634 and e_438. e_438: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q14,q10,p6) is replaced by e_315: 0=(170*q14 - 87*q31)*p6 Step 509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_315 and e_579. e_315: 0=(170*q14 - 87*q31)*p6 is replaced by e_372: 0=p6*q14 Step 510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_579. e_579: 0=(870*q14 - 529*q31)*p6 is replaced by e_640: 0=p6*q31 Step 513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_640 and e_369. e_369: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q14,q10,p6) is replaced by e_631: 0=(337*q10 + 30*q14)*p6 Step 516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_631. e_631: 0=(337*q10 + 30*q14)*p6 is replaced by e_516: 0=p6*q10 e_516 is a consequence of e_634. Step 517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_640 and e_225. e_225: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q14,q10,p6) is replaced by e_264: 0=(7*q10 + 10*q14)*p6 Step 518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_264. e_264: 0=(7*q10 + 10*q14)*p6 is replaced by e_350: 0=p6*q10 e_350 is a consequence of e_634. Step 519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q14 from e_372 and e_336. e_336: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q31,q14,q10,p6) is replaced by e_487: 0=(149*q10 - 24*q31)*p6 Step 520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_640 and e_487. e_487: 0=(149*q10 - 24*q31)*p6 is replaced by e_358: 0=p6*q10 e_358 is a consequence of e_634. Step 521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 697 2-Oct-2003 13:25:10, 50 ms (1%), 1170469 occupied, 23829480 free Eliminate q25 from e_334 and e_619. e_619: 3 terms, 6 factors, with derivatives of functions of all variables: (q42,q25,q23,p5,p3) is replaced by e_295: 0=p3*q23 - p5*q42 Step 522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_644 and e_377. e_644: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q31,q14,q10,q8,p4) is replaced by e_513: 0=(5*q14 - 9*q8)*p4 Step 524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_668 and e_513. e_513: 0=(5*q14 - 9*q8)*p4 is replaced by e_58: 0=p4*q8 e_58 is a consequence of e_130. Step 525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_377 and e_662. e_377: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q31,q14,q10,q8,p4) is replaced by e_44: 0=p4*q10 e_44 is a consequence of e_628. Step 526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_660 and e_667. e_660: (#) 4 terms, 5 factors, with derivatives of functions of all variables: (q31,q14,q10,q8,p4) is replaced by e_582: 0=(q14 - 6*q8)*p4 Step 527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_668 and e_582. e_582: 0=(q14 - 6*q8)*p4 is replaced by e_331: 0=p4*q8 e_331 is a consequence of e_130. Step 528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q25 from e_519 and e_664. e_664: (#) 5 terms, 6 factors, with derivatives of functions of all variables: (q42,q25,q23,q14,q10,p5) is replaced by e_404: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q42,q14,q10,p5) Step 529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q10 from e_386 and e_404. e_404: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q42,q14,q10,p5) is replaced by e_43: 0=(5*q14 - 3*q42)*p5 Step 530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q42 from e_43 and e_339. e_43: 0=(5*q14 - 3*q42)*p5 is replaced by e_74: 0=p5*q14 Step 531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_74 and e_339. e_339: 0=(4*q14 + 9*q42)*p5 is replaced by e_244: 0=p5*q42 Step 532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_671 and e_334. e_334: 0=(2*q23 + q25)*p3 is replaced by e_613: 0=p3*q25 Step 534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 698 2-Oct-2003 13:25:18, 50 ms (1%), 1157706 occupied, 23842244 free --- Factorization to subcases leading to substitutions : factorizing e_383 we get the alternative equations : 0=p5 0=q23 New level : 1.1.1.1.1. CRACK is now called with the new equation e_798 : 0=p5 e_572,e_552,e_623,e_563,e_293,e_333,e_519,e_411,e_590,e_340,e_132,e_212,e_95, e_386,e_239,e_74,e_244 are consequences of e_798 Step 535: 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 The list of inequalities got extended by: An expression with 30 terms e_321 is a consequence of e_613. e_21 is a consequence of e_426. e_215 is a consequence of e_637. Substitution of p5 found in e_798 : p5=0 Step 536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 699 2-Oct-2003 13:25:24, 40 ms (1%), 1144046 occupied, 23855904 free --- Factorization to subcases leading to substitutions : factorizing e_481 we get the alternative equations : 0=p3 0=q8 New level : 1.1.1.1.1.1. CRACK is now called with the new equation e_475 : 0=p3 e_18,e_82,e_681,e_434,e_56,e_650,e_671,e_613 are consequences of e_475 Step 537: Hot list of urgent steps : The list of inequalities got extended by: g0023*p6 + g0025*p4 + g0027*p1 The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 25 terms e_428 is a consequence of e_637. e_573 is a consequence of e_637. e_294 is a consequence of e_426. e_677 is a consequence of e_364. e_432 is a consequence of e_641. e_142 is a consequence of e_637. e_659 is a consequence of e_641. e_260 is a consequence of e_258. Substitution of p3 found in e_475 : p3=0 Step 538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_130 we get the alternative equations : 0=p4 0=q8 New level : 1.1.1.1.1.1.1. CRACK is now called with the new equation e_375 : 0=p4 e_667,e_662,e_511,e_175,e_655,e_628,e_668,e_327,e_416 are consequences of e_375 Step 539: Hot list of urgent steps : The list of inequalities got extended by: g0023*p6 + g0027*p1 The list of inequalities got extended by: An expression with 22 terms Substitution of p4 found in e_375 : p4=0 Step 540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_258 we get the alternative equations : 0=p1 0=q39 New level : 1.1.1.1.1.1.1.1. CRACK is now called with the new equation e_676 : 0=p1 e_637,e_641,e_364,e_131,e_629,e_426,e_257,e_566 are consequences of e_676 Step 541: Hot list of urgent steps : The list of inequalities got extended by: An expression with 8 terms The list of inequalities got extended by: p6 The lexicographical ordering of unknowns is changed because p6 has to be non-zero, giving p6 a low priority. Old ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p1,p10 New ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p1,p6,p10 The list of inequalities got extended by: An expression with 15 terms Substitution of p1 found in e_676 : p1=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 18 terms Substitution of q39 found in e_385 : q39=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 14 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q23 found in e_246 : q23=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: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q46,q42,q31,q25,q14,q10,q8,p6,p10 New ordering: q46,q42,q31,q14,q10,q8,q25,p6,p10 The list of inequalities got extended by: An expression with 14 terms Substitution of q42 found in e_317 : q42=0 Step 545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q25=0 because of the non-vanishing expression: q25 The list of inequalities got extended by: An expression with 12 terms Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: p1 New level : 1.1.1.1.1.1.1.2. CRACK is now called with the new equation e_676 : 0=q39 e_385 is a consequence of e_676 Step 546: Hot list of urgent steps : The list of inequalities got extended by: An expression with 18 terms Substitution of q39 found in e_676 : q39=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 21 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q23 found in e_637 : q23=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 17 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q8 found in e_641 : q8=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 13 terms The list of inequalities got extended by: An expression with 8 terms Substitution of q10 found in e_364 : q10=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 9 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q14 found in e_131 : q14=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 5 terms The list of inequalities got extended by: An expression with 4 terms Substitution of q31 found in e_629 : q31=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: g0006*p10 + g0015*p1 q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q46,q42,q25,p6,p1,p10 New ordering: q46,q25,q42,p6,p1,p10 The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: g0054*q46 + g0058*q42 Substitution of q25 found in e_426 : q25=0 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 3 terms Substitution of p6 found in e_317 : p6=0 Step 554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q42=0 because of the non-vanishing expression: q42 The list of inequalities got extended by: q46 The lexicographical ordering of unknowns is changed because q46 has to be non-zero, giving q46 a low priority. Old ordering: q46,q42,p1,p10 New ordering: q42,q46,p1,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: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p4,p1,p10 New ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p1,p4,p10 New level : 1.1.1.1.1.1.2. CRACK is now called with the new equation e_375 : 0=q8 e_641,e_57 are consequences of e_375 Step 555: 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 20 terms Substitution of q8 found in e_375 : q8=0 Step 556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms Substitution of q39 found in e_511 : q39=0 Step 557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q23 found in e_175 : q23=0 Step 558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms The list of inequalities got extended by: g0006*p10 + g0015*p1 q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q46,q42,q31,q25,q14,q10,p6,p1,p4,p10 New ordering: q46,q31,q25,q14,q10,q42,p6,p1,p4,p10 The list of inequalities got extended by: An expression with 9 terms Substitution of q25 found in e_655 : q25=0 Step 559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0025*p4 + g0027*p1 The list of inequalities got extended by: An expression with 10 terms Substitution of p6 found in e_317 : p6=0 Step 560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms The list of inequalities got extended by: An expression with 8 terms Substitution of q10 found in e_628 : q10=0 Step 561: Hot list 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 6 terms e_629 is a consequence of e_356 e_128 is a consequence of e_356. Substitution of q14 found in e_668 : q14=0 Step 562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0058*q42 - g0067*q31 + g0069*q31 The list of inequalities got extended by: An expression with 3 terms Substitution of q46 found in e_327 : q46=0 Step 563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q31 Substitution of p1 found in e_257 : p1=0 Step 564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q42=0 because of the non-vanishing expression: q42 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p4,p3,p1,p10 New ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p4,p1,p3,p10 New level : 1.1.1.1.1.2. CRACK is now called with the new equation e_475 : 0=q8 e_440,e_290,e_130,e_641,e_57 are consequences of e_475 Step 565: 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 24 terms Substitution of q8 found in e_475 : q8=0 Step 566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms Substitution of q39 found in e_18 : q39=0 Step 567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q14 found in e_82 : q14=0 Step 568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 10 terms e_11 is a consequence of e_434. e_11 is a consequence of e_628. e_676 is a consequence of e_434. e_676 is a consequence of e_628. Substitution of q31 found in e_681 : q31=0 Step 569: Hot list 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 Substitution of q10 found in e_434 : q10=0 Step 570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 7 terms The list of inequalities got extended by: An expression with 6 terms Substitution of q42 found in e_56 : q42=0 Step 571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0029*q25 + g0031*q23 The list of inequalities got extended by: An expression with 5 terms Substitution of q46 found in e_650 : q46=0 Step 572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q25,q23,p6,p4,p1,p3,p10 New ordering: q23,q25,p6,p4,p1,p3,p10 The list of inequalities got extended by: p1 Substitution of q23 found in e_671 : q23=0 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: g0025*p4 + g0026*p3 + g0027*p1 Substitution of p6 found in e_3 : 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: g0026*p3 + g0027*p1 Substitution of p4 found in e_655 : p4=0 Step 575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: p1=0 because of the non-vanishing expression: p1 The list of inequalities got extended by: p3 The lexicographical ordering of unknowns is changed because p3 has to be non-zero, giving p3 a low priority. Old ordering: q25,p1,p3,p10 New ordering: q25,p1,p10,p3 The list of inequalities got extended by: p1 The lexicographical ordering of unknowns is changed because p1 has to be non-zero, giving p1 a low priority. Old ordering: q25,p1,p10,p3 New ordering: q25,p10,p1,p3 This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 30 ms The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p5,p4,p3,p1,p10 New ordering: q46,q42,q39,q31,q25,q23,q14,q10,q8,p6,p4,p3,p1,p5,p10 New level : 1.1.1.1.2. CRACK is now called with the new equation e_798 : 0=q23 e_4,e_30,e_85,e_495,e_246,e_175,e_637,e_671 are consequences of e_798 Step 576: Hot list of urgent steps : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 33 terms Substitution of q23 found in e_798 : q23=0 Step 577: Hot list 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 q39 found in e_340 : q39=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 28 terms The list of inequalities got extended by: An expression with 14 terms Substitution of q46 found in e_132 : q46=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 22 terms The list of inequalities got extended by: An expression with 10 terms Substitution of q8 found in e_212 : q8=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 10 terms The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 8 terms Substitution of q31 found in e_95 : q31=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 9 terms The list of inequalities got extended by: An expression with 10 terms The list of inequalities got extended by: An expression with 5 terms e_662 is a consequence of e_74. e_662 is a consequence of e_668. e_667 is a consequence of e_74. e_667 is a consequence of e_668. Substitution of q10 found in e_386 : q10=0 Step 582: Hot list 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 9 terms The list of inequalities got extended by: An expression with 3 terms e_677 is a consequence of e_74.e_668,e_82,e_131,e_372 are consequences of e_677 e_294 is a consequence of e_74. e_669 is a consequence of e_74. e_392 is a consequence of e_74. e_485 is a consequence of e_74. e_352 is a consequence of e_244.e_317,e_257,e_416,e_56 are consequences of e_352 Substitution of q25 found in e_239 : q25=0 Step 583: Hot list 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 3 terms q42 The lexicographical ordering of unknowns is changed because q42 has to be non-zero, giving q42 a low priority. Old ordering: q42,q14,p6,p4,p3,p1,p5,p10 New ordering: q14,q42,p6,p4,p3,p1,p5,p10 The list of inequalities got extended by: q14 Substitution of q14 found in e_74 : q14=0 leads to a contradiction in : 0=8*q14 - q42 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: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p7,p6,p5,p4,p3,p1 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p6,p5,p4,p3,p1,p7 New level : 1.1.1.2. CRACK is now called with the new equation e_478 : 0=q28 e_322 is a consequence of e_478 Step 584: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 18 terms Substitution of q28 found in e_478 : q28=0 Step 585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms The list of inequalities got extended by: An expression with 17 terms e_437 is a consequence of e_308. e_401 is a consequence of e_487. Substitution of q2 found in e_86 : q2=0 Step 586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_573 is a consequence of e_125. e_428 is a consequence of e_125. Substitution of q32 found in e_487 : q32=0 Step 587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_516 is a consequence of e_6 e_319 is a consequence of e_6.e_188,e_272 are consequences of e_562 Substitution of q39 found in e_338 : q39=0 Step 588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms Substitution of q34 found in e_74 : q34=0 Step 589: Hot list 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 q35 found in e_196 : q35=0 Step 590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 24 terms e_136 is a consequence of e_279. e_441 is a consequence of e_590. Substitution of q8 found in e_125 : q8=0 Step 591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 16 terms Substitution of q29 found in e_279 : q29=0 Step 592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : *** Garbage collection starting *** GC 700 2-Oct-2003 13:25:28, 50 ms (1%), 1133565 occupied, 23866386 free The list of inequalities got extended by: An expression with 23 terms The list of inequalities got extended by: An expression with 15 terms e_323 is a consequence of e_6. e_366 is a consequence of e_183. Substitution of q5 found in e_308 : q5=0 Step 593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms e_132 is a consequence of e_130 Substitution of q10 found in e_40 : q10=0 Step 594: Hot list 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 21 terms Substitution of q1 found in e_255 : q1=0 Step 595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms The list of inequalities got extended by: An expression with 13 terms e_617 is a consequence of e_447. e_170 is a consequence of e_339. Substitution of q27 found in e_21 : q27=0 Step 596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms The list of inequalities got extended by: An expression with 12 terms Substitution of q45 found in e_330 : q45=0 Step 597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 11 terms e_320 is a consequence of e_339. e_300 is a consequence of e_339.e_9 is a consequence of e_580 e_572 is a consequence of e_368 e_479 is a consequence of e_339. e_285 is a consequence of e_339. e_448 is a consequence of e_339. Substitution of q43 found in e_333 : q43=0 Step 598: Hot list 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 Substitution of q44 found in e_553 : q44=0 Step 599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 9 terms e_64 is a consequence of e_405. e_315 is a consequence of e_447. e_392 is a consequence of e_447. e_58 is a consequence of e_447. e_384 is a consequence of e_571. Substitution of q23 found in e_339 : q23=0 Step 600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 8 terms e_559 is a consequence of e_316. Substitution of q30 found in e_438 : q30=0 Step 601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 7 terms e_560 is a consequence of e_277. e_316 is a consequence of e_277. e_106 is a consequence of e_193. Substitution of q4 found in e_447 : q4=0 Step 602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_264 is a consequence of e_582 e_358 is a consequence of e_557 Substitution of q13 found in e_6 : q13=0 Step 603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_1,e_277,e_239 are consequences of e_183 Substitution of q21 found in e_562 : q21=0 Step 604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms e_146 is a consequence of e_130. Substitution of q26 found in e_290 : q26=0 Step 605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 8 terms Substitution of q46 found in e_130 : q46=0 Step 606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 6 terms e_576 is a consequence of e_368. e_605 is a consequence of e_595. Substitution of q22 found in e_580 : q22=0 Step 607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 14 terms The list of inequalities got extended by: An expression with 5 terms e_450 is a consequence of e_336. e_107 is a consequence of e_312. Substitution of q24 found in e_368 : q24=0 Step 608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 13 terms e_217 is a consequence of e_10.e_294,e_10,e_82 are consequences of e_565 e_364 is a consequence of e_266 e_485 is a consequence of e_334 e_354 is a consequence of e_183. Substitution of q16 found in e_582 : q16=0 Step 609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 7 terms Substitution of q41 found in e_183 : q41=0 Step 610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 6 terms e_458,e_193,e_426,e_131,e_235 are consequences of e_557 e_331 is a consequence of e_334. e_374 is a consequence of e_557. e_275 is a consequence of e_334. e_387 is a consequence of e_557. e_257 is a consequence of e_334. Substitution of q40 found in e_565 : q40=0 Step 611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 12 terms Substitution of q18 found in e_266 : q18=0 Step 612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 11 terms e_432 is a consequence of e_475 e_552 is a consequence of e_557. e_473 is a consequence of e_557. e_433 is a consequence of e_557. Substitution of q17 found in e_334 : q17=0 Step 613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms Substitution of q37 found in e_557 : q37=0 Step 614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms Substitution of q38 found in e_475 : q38=0 Step 615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0058*q42 + g0067*q33 + g0069*q31 e_416 is a consequence of e_310. e_395 is a consequence of e_310. e_179 is a consequence of e_519. Substitution of q36 found in e_56 : q36=0 Step 616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 10 terms e_263 is a consequence of e_293. Substitution of q11 found in e_377 : q11=0 Step 617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 9 terms Substitution of q12 found in e_440 : q12=0 Step 618: Hot list 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 8 terms e_2 is a consequence of e_513. e_345 is a consequence of e_513. e_571 is a consequence of e_577. e_282 is a consequence of e_459. e_451 is a consequence of e_459. e_601 is a consequence of e_579. Substitution of q6 found in e_519 : q6=0 Step 619: Hot list 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_270 is a consequence of e_293. e_449 is a consequence of e_293. Substitution of q7 found in e_365 : q7=0 Step 620: Hot list 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_141 is a consequence of e_481. Substitution of q9 found in e_293 : q9=0 *** Garbage collection starting *** GC 701 2-Oct-2003 13:25:31, 40 ms (1%), 1111417 occupied, 23888534 free Step 621: Hot list 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_142 is a consequence of e_273. e_383 is a consequence of e_372. Substitution of q20 found in e_517 : q20=0 Step 622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0006*q42 + g0011*q25 + g0022*p5 The list of inequalities got extended by: An expression with 4 terms e_350 is a consequence of e_592. e_603 is a consequence of e_459. e_39 is a consequence of e_459. e_604 is a consequence of e_459. e_579 is a consequence of e_577. Substitution of q3 found in e_513 : q3=0 Step 623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0029*q25 + g0039*q15 + g0040*q14 Substitution of q19 found in e_310 : q19=0 Step 624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0029*q25 + g0040*q14 e_4 is a consequence of e_590. e_295 is a consequence of e_216. Substitution of q15 found in e_273 : q15=0 Step 625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0058*q25 + g0067*q33 + g0069*q31 The list of inequalities got extended by: g0006*q25 + g0011*q25 + g0022*p5 e_95 is a consequence of e_336. e_577 is a consequence of e_459. e_317 is a consequence of e_3. Substitution of q42 by an expression in q25 found in e_406 : q42=q25 Step 626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 3 terms e_216 is a consequence of e_372. e_481 is a consequence of e_400. e_356 is a consequence of e_594. e_592 is a consequence of e_394. e_547 is a consequence of e_269. Substitution of q33 by an expression in q14 found in e_478 : q33=2*q14 Step 627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_580 is a consequence of e_336. Step 630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_450 is a consequence of e_336. Step 631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 635: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_495. e_495: 0=(q14 + 4*q31)*p4 is replaced by e_235: 0=p4*q31 e_235 is a consequence of e_590. Step 637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_372 and e_253. e_253: 0=(q14 + q31)*p4 is replaced by e_131: 0=p4*q31 e_131 is a consequence of e_590. Step 638: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_85 and e_260. e_260: 0=(2*q14 + q31)*p3 is replaced by e_426: 0=p3*q31 Step 639: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_594 and e_566. e_566: 0=(2*q14 + q31)*p1 is replaced by e_458: 0=p1*q31 e_458 is a consequence of e_386. Step 640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. Eliminate q31 from e_286 and e_615. e_615: 0=(4*q14 + 3*q31)*p6 is replaced by e_331: 0=p6*q14 e_331 is a consequence of e_400. Step 641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_286 and e_212. e_212: 0=(3*q14 + q31)*p6 is replaced by e_374: 0=p6*q14 e_374 is a consequence of e_400. Step 642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_286 and e_439. e_439: 0=(q14 + 2*q31)*p6 is replaced by e_275: 0=p6*q14 e_275 is a consequence of e_400. Step 643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : A length reducing simplification (27 ) was prevented to avoid a cycle. A length reducing simplification (27) was prevented to avoid a cycle. Eliminate q14 from e_400 and e_564. e_564: 0=(8*q14 + q31)*p6 is replaced by e_387: 0=p6*q31 e_387 is a consequence of e_286. Step 644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_215 and e_256. e_256: 0=(4*q14 - q31)*p10 is replaced by e_257: 0=p10*q31 Step 645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q31 from e_312 and e_587. e_587: 0=(q14 + q25 + q31)*p5 is replaced by e_266: 0=(q14 + q25)*p5 Step 646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_394 and e_266. e_266: 0=(q14 + q25)*p5 is replaced by e_473: 0=p5*q25 e_473 is a consequence of e_304. Step 647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 702 2-Oct-2003 13:25:35, 40 ms (1%), 1108518 occupied, 23891432 free factorizing e_250 we get the alternative equations : 0=q25 0=p3 New level : 1.1.1.2.1. CRACK is now called with the new equation e_694 : 0=q25 e_411,e_598,e_599,e_582,e_595,e_489,e_30,e_586,e_82,e_294,e_485,e_3,e_405,e_304, e_336,e_459 are consequences of e_694 Step 648: Hot list of urgent steps : The list of inequalities got extended by: p5 The lexicographical ordering of unknowns is changed because p5 has to be non-zero, giving p5 a low priority. Old ordering: q31,q25,q14,p10,p6,p5,p4,p3,p1,p7 New ordering: q31,q25,q14,p10,p6,p4,p3,p1,p5,p7 The list of inequalities got extended by: q14 The list of inequalities got extended by: 2*g0067*q14 + g0069*q31 Substitution of q25 found in e_694 : q25=0 Step 649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p10 found in e_215 : p10=0 Step 650: Hot list 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_400 : p6=0 Step 651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : contradiction from the substitution: q14=0 because of the non-vanishing expression: q14 The list of inequalities got extended by: q31 The lexicographical ordering of unknowns is changed because q31 has to be non-zero, giving q31 a low priority. Old ordering: q31,q14,p4,p3,p1,p5,p7 New ordering: q14,q31,p4,p3,p1,p5,p7 Time: 0 ms Time: 0 ms Time: 10 ms The list of inequalities got extended by: q25 The lexicographical ordering of unknowns is changed because q25 has to be non-zero, giving q25 a low priority. Old ordering: q31,q25,q14,p10,p6,p5,p4,p3,p1,p7 New ordering: q31,q14,q25,p10,p6,p5,p4,p3,p1,p7 New level : 1.1.1.2.2. CRACK is now called with the new equation e_694 : 0=p3 e_85,e_426 are consequences of e_694 Step 652: Hot list of urgent steps : The list of inequalities got extended by: An expression with 4 terms e_263 is a consequence of e_304.e_394,e_312 are consequences of e_263 e_377 is a consequence of e_304. e_440 is a consequence of e_386. e_440 is a consequence of e_336. e_2 is a consequence of e_386. e_2 is a consequence of e_336. e_345 is a consequence of e_594. e_345 is a consequence of e_336. e_571 is a consequence of e_594. e_571 is a consequence of e_336. e_282 is a consequence of e_336.e_386,e_594 are consequences of e_282 e_451 is a consequence of e_336. e_601 is a consequence of e_336. e_519 is a consequence of e_336. e_270 is a consequence of e_336. e_449 is a consequence of e_304. e_142 is a consequence of e_141. Substitution of p3 found in e_694 : p3=0 Step 653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0024*p5 + g0025*p4 + g0027*p1 Substitution of p6 found in e_3 : p6=0 Step 654: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : Substitution of p10 found in e_405 : p10=0 Step 655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0025*p4 + g0027*p1 e_603 is a consequence of e_336. e_39 is a consequence of e_336. e_604 is a consequence of e_336. e_485 is a consequence of e_336. e_595 is a consequence of e_336. Substitution of p5 found in e_304 : p5=0 Step 656: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: p4 The lexicographical ordering of unknowns is changed because p4 has to be non-zero, giving p4 a low priority. Old ordering: q31,q14,q25,p4,p1,p7 New ordering: q31,q14,q25,p1,p4,p7 Substitution of p1 found in e_336 : p1=0 Step 657: 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 This completes the investigation of all cases of a factorization. This completes the investigation of all cases of a factorization. Time: 0 ms Time: 0 ms Time: 70 ms The list of inequalities got extended by: p9 The lexicographical ordering of unknowns is changed because p9 has to be non-zero, giving p9 a low priority. Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p7,p6,p5,p4,p3,p1 New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31, q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11, q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p7,p6,p5,p4,p3,p1,p9 New level : 1.1.2. CRACK is now called with the new equation e_15 : 0=q37 e_458 is a consequence of e_15 Step 658: Hot list of urgent steps : The list of inequalities got extended by: An expression with 19 terms e_327 is a consequence of e_217. e_255 is a consequence of e_193. Substitution of q37 found in e_15 : q37=0 Step 659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 25 terms e_71 is a consequence of e_92. Substitution of q21 found in e_18 : q21=0 Step 660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 18 terms e_591 is a consequence of e_193. e_588 is a consequence of e_193. Substitution of q39 found in e_92 : q39=0 Step 661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms e_145 is a consequence of e_439. e_353 is a consequence of e_439. e_271 is a consequence of e_416. Substitution of q32 found in e_310 : q32=0 Step 662: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 24 terms e_325 is a consequence of e_286. Substitution of q2 found in e_416 : q2=0 Step 663: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 23 terms e_582 is a consequence of e_193. e_565 is a consequence of e_383. e_334 is a consequence of e_217. Substitution of q16 found in e_366 : q16=0 Step 664: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 22 terms e_314 is a consequence of e_261. Substitution of q17 found in e_217 : q17=0 Step 665: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 16 terms The list of inequalities got extended by: An expression with 18 terms e_584 is a consequence of e_193. e_355 is a consequence of e_439. Substitution of q29 found in e_141 : q29=0 Step 666: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 21 terms e_261 is a consequence of e_383. e_570 is a consequence of e_193. e_426 is a consequence of e_383. e_317 is a consequence of e_577. Substitution of q8 found in e_439 : q8=0 Step 667: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 20 terms e_10 is a consequence of e_193. e_587 is a consequence of e_383. e_495 is a consequence of e_383. Substitution of q5 found in e_286 : q5=0 Step 668: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 19 terms e_339 is a consequence of e_383. Substitution of q13 found in e_193 : q13=0 Step 669: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms e_246 is a consequence of e_384. e_278 is a consequence of e_384. e_241 is a consequence of e_384. Substitution of q40 found in e_383 : q40=0 Step 670: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms e_196 is a consequence of e_74. Substitution of q35 by an expression in q34 found in e_258 : q35=3*q34 Step 671: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 15 terms *** Garbage collection starting *** GC 703 2-Oct-2003 13:25:39, 40 ms (1%), 1127378 occupied, 23872574 free e_163 is a consequence of e_74. Substitution of q45 by an expression in q34 found in e_57 : q45=3*q34 Step 672: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 15 terms Substitution of q43 by an expression in q34 found in e_511 : q43=2*q34 Step 673: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms The list of inequalities got extended by: An expression with 15 terms e_477 is a consequence of e_74. Substitution of q44 by an expression in q34 found in e_335 : q44= - 3*q34 Step 674: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 17 terms Substitution of q42 by an expression in q34, q23, q10 found in e_404 : q42=q10 - q23 - q34 Step 675: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms The list of inequalities got extended by: An expression with 19 terms Substitution of q1 by an expression in q27, p7, p9 found in e_50 : - p7*q27 q1=----------- p9 Step 676: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 17 terms Substitution of q36 by an expression in q27, p7, p9 found in e_409 : 2 - 2*p7 *q27 q36=-------------- 2 p9 Step 677: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 20 terms e_340 is a consequence of e_131. e_340 is a consequence of e_266. Substitution of q18 by an expression in q27, p7, p9 found in e_360 : 7 factors in 3 terms Step 678: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 18 terms Substitution of q31 by an expression in q34, q23, p7, p9 found in e_367 : 7 factors in 3 terms Step 679: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms e_588 is a consequence of e_275. Substitution of q26 by an expression in q34, q23, p6, p9 found in e_290 : 7 factors in 3 terms Step 680: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 19 terms Substitution of q46 by an expression in q34, q23, p10, p9 found in e_275 : 7 factors in 3 terms Step 681: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 22 terms The list of inequalities got extended by: An expression with 20 terms Substitution of q25 by an expression in q34, q14, p7, p9 found in e_85 : 8 factors in 3 terms Step 682: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 24 terms Substitution of q19 by an expression in q41, q28, q4, p5, p4, p9 found in e_574 : 10 factors in 4 terms Step 683: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 21 terms The list of inequalities got extended by: An expression with 20 terms The list of inequalities got extended by: An expression with 26 terms *** Garbage collection starting *** GC 704 2-Oct-2003 13:25:42, 50 ms (1%), 1148974 occupied, 23850973 free Substitution of q10 by an expression in q34, q27, p10, p7, p9 found in e_13 : 9 factors in 4 terms Step 684: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 29 terms Substitution of q11 by an expression in q28, q27, q23, p6, p3, p1, p9 found in e_220 : 14 factors in 5 terms Step 685: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 24 terms The list of inequalities got extended by: An expression with 32 terms Substitution of q24 by an expression in q34, q28, q27, q23, p6, p5, p1, p9 found in e_480 : 14 factors in 5 terms Step 686: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 35 terms Substitution of q7 by an expression in q34, q28, q23, q4, p6, p1, p9 found in e_517 : 11 factors in 5 terms Step 687: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 38 terms Substitution of q12 by an expression in q34, q28, q23, q4, p4, p1, p9 found in e_295 : 12 factors in 5 terms Step 688: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms Substitution of q33 by an expression in q34, q27, q23, p10, p7, p9 found in e_486 : 14 factors in 5 terms Step 689: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 690: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 691: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 692: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 693: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 694: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 695: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 696: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 697: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 698: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 699: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 700: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 701: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 702: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 703: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 704: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 705: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 706: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 707: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 708: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 709: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 710: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_437 is a consequence of e_352. Step 711: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 712: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 713: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 714: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 715: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 716: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 717: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 718: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 719: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 720: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 721: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 722: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 723: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 724: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 725: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 726: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 727: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 728: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 729: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 730: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 731: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 732: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 733: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 705 2-Oct-2003 13:25:45, 60 ms (1%), 1165690 occupied, 23834257 free shortening by 1 term Step 734: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 735: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 736: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 737: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_278 is a consequence of e_131. Step 738: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 739: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 740: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 741: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 742: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 743: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 744: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 745: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 746: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 747: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 748: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 749: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 55 terms The list of inequalities got extended by: An expression with 41 terms The list of inequalities got extended by: An expression with 48 terms Substitution of q34 by an expression in q30, q27, q23, q14, p10, p9 found in e_601 : 18 factors in 5 terms Step 750: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 751: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 706 2-Oct-2003 13:25:48, 50 ms (1%), 1207516 occupied, 23792428 free --- Algebraic length reduction of equations : shortening by 1 term Step 752: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 753: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 754: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 755: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 756: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 757: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 758: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 759: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 760: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 761: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 762: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 763: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 764: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 765: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 766: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 767: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 768: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 769: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 770: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 771: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 772: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 773: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 774: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 775: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 776: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 777: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 778: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 779: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 780: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 781: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 782: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 783: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 784: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 785: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 786: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 787: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 788: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 789: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 790: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 791: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 792: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 793: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 794: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 795: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 796: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 797: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 798: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 799: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 800: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 801: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 802: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 803: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 804: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 805: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 806: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 807: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 808: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 809: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 810: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 811: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 812: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 813: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 814: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 815: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 816: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 817: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 818: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 819: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 820: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 821: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 822: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 823: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 824: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 825: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 826: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 827: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 828: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 829: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 830: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 831: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 832: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 833: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 834: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 835: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 836: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 707 2-Oct-2003 13:25:52, 50 ms (1%), 1203572 occupied, 23796372 free shortening by 3 terms Step 837: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 838: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 839: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 708 2-Oct-2003 13:25:55, 60 ms (1%), 1396123 occupied, 23603770 free Eliminate q30 from e_598 and e_594. e_598: 0=(q28 + q30 - 2*q4)*p4 is replaced by e_246: 0=(q28 + q4)*p4 Step 840: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_216 is a consequence of e_356. Step 841: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 842: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 843: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 844: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_246 and e_594. e_594: 0=(2*q28 + q30 - q4)*p4 is replaced by e_613: 0=(q30 - 3*q4)*p4 Step 845: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 709 2-Oct-2003 13:25:58, 60 ms (1%), 1335639 occupied, 23664282 free Eliminate q27 from e_266 and e_475. e_475: (#) 3 terms, 10 factors, with derivatives of functions of all variables: 3 2 2 (q38,q27,p7 ,p7 ,p7,p9 ,p9) is replaced by e_665: 0=p7*q38 Step 846: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 847: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 710 2-Oct-2003 13:26:01, 60 ms (1%), 1384157 occupied, 23615734 free *** Garbage collection starting *** GC 711 2-Oct-2003 13:26:04, 50 ms (1%), 1284079 occupied, 23715844 free Eliminate q27 from e_323 and e_106. e_106: (#) 3 terms, 8 factors, with derivatives of functions of all variables: 2 (q28,q27,q4,p7 ,p7,p1,p9) is replaced by e_300: 0=(q28 + q4)*p7*p1 Step 848: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_345. e_345: (#) 3 terms, 8 factors, with derivatives of functions of all variables: 2 (q28,q27,q4,p7 ,p7,p6,p9) is replaced by e_88: 0=(q28 + q4)*p7*p6 Step 849: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_255 and e_4. e_4: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q30,q23,q14,p10 ,p10,p7,p9) is replaced by e_640: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q23,q14,p10,p7,p9) Step 850: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_255 and e_290. e_290: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q30,q27,q23,q14,p10 ,p10,p9) is replaced by e_622: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q27,q23,q14,p10 ,p10,p9) Step 851: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 712 2-Oct-2003 13:26:07, 60 ms (1%), 1267543 occupied, 23732375 free Eliminate q27 from e_622 and e_577. e_577: (#) 4 terms, 9 factors, with derivatives of functions of all variables: 2 (q30,q27,q23,q14,p10 ,p10,p9) is replaced by e_643: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q30,q23,q14,p10 ,p10,p9) Step 852: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_643 and e_255. e_643: (#) 3 terms, 7 factors, with derivatives of functions of all variables: 2 (q30,q23,q14,p10 ,p10,p9) is replaced by e_615: 0=p10*q14 Step 853: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 854: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 855: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 856: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 857: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 858: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 859: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 860: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 861: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 862: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 863: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 864: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 865: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 866: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 867: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 868: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 869: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 870: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 871: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 872: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 873: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 874: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 875: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 876: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 877: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 878: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 879: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q30 from e_659 and e_652. e_652: (#) 3 terms, 10 factors, with derivatives of functions of all variables: 2 2 (q30,q23,p10 ,p10,p7,p9 ,p9) is replaced by e_314: 0=q23*(p7 + p9)*p10 Step 880: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 713 2-Oct-2003 13:26:10, 60 ms (1%), 1308776 occupied, 23691145 free *** Garbage collection starting *** GC 714 2-Oct-2003 13:26:13, 50 ms (1%), 1212017 occupied, 23787925 free Eliminate q27 from e_266 and e_568. e_568: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q30,q28,q27,q4,p7 ,p7,p9 ,p9) is replaced by e_639: 4 terms, 8 factors, with derivatives of functions of all variables: (q30,q28,q4,p7,p9) Step 881: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 68 terms The list of inequalities got extended by: An expression with 56 terms The list of inequalities got extended by: An expression with 70 terms Substitution of q30 by an expression in q28, q4, p7, p9 found in e_639 : 8 factors in 4 terms Step 882: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 715 2-Oct-2003 13:26:16, 60 ms (1%), 1216946 occupied, 23782999 free shortening by 2 terms Step 883: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 884: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 885: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 886: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 887: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 888: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 889: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 890: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 891: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 892: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 893: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 894: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 895: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 896: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 897: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 898: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 899: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 900: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 901: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 902: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 903: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 904: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 905: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 906: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 907: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 908: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 909: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 910: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 911: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 912: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 913: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 914: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 915: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 916: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 917: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 918: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 919: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 920: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 921: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 922: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 923: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 924: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 925: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 926: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 927: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 928: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 929: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 930: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 931: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 932: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 933: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 934: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 935: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 936: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 937: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 938: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 939: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 940: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 941: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 942: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 943: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 944: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 945: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 946: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 947: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 948: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 949: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 950: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 951: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 952: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 953: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 954: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 955: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 956: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 957: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 958: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 959: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 960: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 961: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 962: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 963: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 964: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 965: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 966: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 967: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 968: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 969: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 970: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 971: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 7 terms Step 972: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 973: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 974: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 9 terms Step 975: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 9 terms Step 976: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 977: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 8 terms Step 978: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_314,e_338 are consequences of e_416 Step 979: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_131 is a consequence of e_275 Step 980: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 716 2-Oct-2003 13:26:20, 50 ms (1%), 1205802 occupied, 23794144 free shortening by 1 term Step 981: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 982: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 983: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 984: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 985: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 986: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 987: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 988: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 989: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 990: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 991: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 992: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 993: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 994: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 995: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 996: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 997: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 998: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 999: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1000: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1001: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1002: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1003: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1004: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1005: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1006: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1007: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1008: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1009: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1010: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1011: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1012: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1013: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1014: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1015: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1016: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1017: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1018: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1019: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1020: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1021: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1022: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1023: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1024: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1025: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1026: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1027: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1028: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1029: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1030: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1031: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1032: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1033: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1034: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1035: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1036: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1037: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1038: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1039: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1040: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1041: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1042: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1043: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1044: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1045: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1046: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1047: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1048: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1049: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1050: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1051: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1052: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1053: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1054: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1055: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1056: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1057: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1058: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1059: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1060: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1061: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1062: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1063: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1064: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1065: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1066: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1067: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1068: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1069: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1070: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1071: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1072: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1073: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1074: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1075: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1076: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1077: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1078: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1079: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1080: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1081: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1082: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1083: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1084: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1085: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1086: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1087: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1088: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1089: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1090: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1091: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1092: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1093: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1094: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1095: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1096: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1097: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1098: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1099: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1100: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1101: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1102: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1103: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_106 is a consequence of e_279. Step 1104: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1105: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 717 2-Oct-2003 13:26:23, 50 ms (1%), 1199216 occupied, 23800728 free shortening by 3 terms e_208 is a consequence of e_603. Step 1106: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1107: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1108: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1109: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1110: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1111: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1112: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1113: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1114: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1115: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1116: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms e_517 is a consequence of e_279. Step 1117: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1118: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1119: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1120: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1121: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1122: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1123: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1124: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1125: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1126: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1127: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1128: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1129: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1130: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1131: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1132: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1133: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1134: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1135: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1136: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1137: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1138: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1139: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1140: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1141: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1142: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1143: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1144: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1145: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1146: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1147: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1148: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1149: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1150: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1151: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1152: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1153: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1154: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1155: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1156: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1157: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1158: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1159: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1160: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1161: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1162: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1163: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1164: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1165: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1166: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1167: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1168: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1169: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1170: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1171: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1172: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1173: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1174: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1175: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1176: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1177: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1178: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1179: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 4 terms Step 1180: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1181: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1182: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1183: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1184: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1185: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 6 terms Step 1186: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 5 terms Step 1187: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1188: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1189: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1190: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1191: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1192: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1193: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1194: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1195: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1196: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1197: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1198: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1199: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1200: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1201: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : *** Garbage collection starting *** GC 718 2-Oct-2003 13:26:28, 50 ms (1%), 1192956 occupied, 23806991 free --- Algebraic length reduction of equations : shortening by 1 term Step 1202: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1203: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_547 and e_603. e_547: 0=(3*q14 + 25*q23)*p6 is replaced by e_634: 0=p6*q14 Step 1204: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1205: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1206: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1207: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1208: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1209: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1210: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_634 and e_603. e_603: 0=(q14 + q23)*p6 is replaced by e_568: 0=p6*q23 e_141,e_278,e_131,e_669,e_196,e_630,e_638,e_310 are consequences of e_568 Step 1211: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1212: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_642 is a consequence of e_568. Step 1213: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_628 is a consequence of e_568. Step 1214: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_253 is a consequence of e_568. Step 1215: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_170 is a consequence of e_568. Step 1216: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_354 is a consequence of e_568. Step 1217: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1218: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1219: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1220: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1221: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1222: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1223: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1224: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1225: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1226: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1227: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1228: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1229: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1230: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1231: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1232: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1233: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1234: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1235: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1236: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1237: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1238: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1239: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1240: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1241: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1242: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1243: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1244: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1245: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1246: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1247: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1248: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1249: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1250: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1251: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_568 and e_367. e_367: 0=(5*q14 + 23*q23)*p6 is replaced by e_651: 0=p6*q14 e_651 is a consequence of e_634. Step 1252: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_568 and e_659. e_659: 0=(23*q14 - 11*q23)*p6 is replaced by e_616: 0=p6*q14 e_616 is a consequence of e_634. Step 1253: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_568 and e_606. e_606: 0=(q14 - 17*q23)*p6 is replaced by e_609: 0=p6*q14 e_609 is a consequence of e_634. Step 1254: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1255: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1256: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1257: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 719 2-Oct-2003 13:26:31, 50 ms (1%), 1247907 occupied, 23752028 free Eliminate q28 from e_246 and e_613. e_613: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q28,q4,p7,p4,p9) is replaced by e_271: 0=q4*(p7 - 3*p9)*p4 Step 1258: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 720 2-Oct-2003 13:26:34, 50 ms (1%), 1268007 occupied, 23731927 free *** Garbage collection starting *** GC 721 2-Oct-2003 13:26:37, 50 ms (1%), 1185740 occupied, 23814208 free Eliminate q38 from e_658 and e_653. e_653: 7 terms, 21 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q4,p7 ,p7,p9 ,p9) is replaced by e_583: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q4,p7 ,p7,p9 ,p9) Step 1259: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_266 and e_583. e_583: 6 terms, 18 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q4,p7 ,p7,p9 ,p9) is replaced by e_317: 4 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q28,q4,p7 ,p7,p9 ,p9) Step 1260: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 722 2-Oct-2003 13:26:40, 60 ms (1%), 1229548 occupied, 23770381 free *** Garbage collection starting *** GC 723 2-Oct-2003 13:26:43, 60 ms (1%), 1293647 occupied, 23706281 free Eliminate q28 from e_300 and e_666. e_666: 5 terms, 15 factors, with derivatives of functions of all variables: (q28,q23,q6,q4,p7,p4,p1,p9) is replaced by e_645: 5 terms, 15 factors, with derivatives of functions of all variables: (q23,q6,q4,p7,p4,p1,p9) Step 1261: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_356 and e_612. e_612: 4 terms, 16 factors, with derivatives of functions of all variables: 2 2 (q41,q38,q28,q27,p7 ,p7,p4,p3,p9 ,p9) is replaced by e_590: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q41,q38,q27,p7 ,p4,p3,p9 ) Step 1262: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 724 2-Oct-2003 13:26:46, 50 ms (1%), 1214621 occupied, 23785323 free Eliminate q27 from e_266 and e_608. e_608: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q41,q38,q28,q27,p7 ,p7,p4,p3,p9 ,p9) is replaced by e_290: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q28,p7,p4,p3,p9) Step 1263: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 725 2-Oct-2003 13:26:49, 60 ms (1%), 1269979 occupied, 23729956 free Eliminate q28 from e_88 and e_670. e_670: 5 terms, 15 factors, with derivatives of functions of all variables: (q28,q23,q22,q14,q4,p7,p6,p1,p9) is replaced by e_132: 5 terms, 15 factors, with derivatives of functions of all variables: (q23,q22,q14,q4,p7,p6,p1,p9) Step 1264: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 726 2-Oct-2003 13:26:52, 60 ms (1%), 1237041 occupied, 23762886 free Eliminate q28 from e_300 and e_657. e_657: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q23,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_4: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q4,p7 ,p7,p5,p4,p1,p9 ,p9) Step 1265: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_4. e_4: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_15: 5 terms, 15 factors, with derivatives of functions of all variables: (q23,q4,p7,p5,p4,p1,p9) Step 1266: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 727 2-Oct-2003 13:26:55, 60 ms (1%), 1303313 occupied, 23696611 free Eliminate q28 from e_300 and e_646. e_646: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q4,p7 ,p7,p4,p1,p9 ,p9) is replaced by e_588: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q4,p7 ,p7,p4,p1,p9 ,p9) Step 1267: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 728 2-Oct-2003 13:26:58, 50 ms (1%), 1273937 occupied, 23725988 free Eliminate q27 from e_266 and e_588. e_588: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q4,p7 ,p7,p4,p1,p9 ,p9) is replaced by e_635: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q23,q4,p7,p4,p1,p9) Step 1268: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 729 2-Oct-2003 13:27:01, 50 ms (1%), 1268081 occupied, 23731857 free Eliminate q27 from e_323 and e_647. e_647: 8 terms, 32 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q6,q4,q3,p7 ,p7,p5,p9 ,p9 ,p9) is replaced by e_257: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q38,q28,q6,q4,q3,p7,p5,p9 ,p9) Step 1269: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_266 and e_611. e_611: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_547: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q23,q15,p7,p4,p3,p1,p9) Step 1270: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 730 2-Oct-2003 13:27:04, 50 ms (1%), 1249208 occupied, 23750725 free Eliminate q28 from e_13 and e_598. e_13: 11 terms, 33 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,p7,p6,p5,p1,p9) is replaced by e_400: (#) 4 terms, 9 factors, with derivatives of functions of all variables: (q23,q14,p7,p5,p9) Step 1271: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1272: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 731 2-Oct-2003 13:27:07, 50 ms (1%), 1229990 occupied, 23769937 free Eliminate q28 from e_246 and e_290. e_290: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q28,p7,p4,p3,p9) is replaced by e_286: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q4,p7,p4,p3,p9) Step 1273: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 732 2-Oct-2003 13:27:10, 50 ms (1%), 1255734 occupied, 23744198 free *** Garbage collection starting *** GC 733 2-Oct-2003 13:27:13, 50 ms (1%), 1225290 occupied, 23774635 free Eliminate q23 from e_661 and e_635. e_635: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q23,q4,p7,p4,p1,p9) is replaced by e_3: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q14,q4,p7,p4,p1,p9) Step 1274: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_661 and e_605. e_605: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q23,q20,p7,p4,p3,p9) is replaced by e_212: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q20,q14,p7,p4,p3,p9) Step 1275: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 734 2-Oct-2003 13:27:16, 50 ms (1%), 1280484 occupied, 23719446 free Eliminate q27 from e_323 and e_590. e_590: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q41,q38,q27,p7 ,p4,p3,p9 ) is replaced by e_587: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q4,p7,p4,p3,p9) Step 1276: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q41 from e_587 and e_286. e_587: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q4,p7,p4,p3,p9) is replaced by e_604: 0=(4*p7*q4 + p9*q38)*p4 Step 1277: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 735 2-Oct-2003 13:27:19, 50 ms (1%), 1189033 occupied, 23810915 free Eliminate q38 from e_604 and e_286. e_286: 3 terms, 9 factors, with derivatives of functions of all variables: (q41,q38,q4,p7,p4,p3,p9) is replaced by e_603: 2 terms, 6 factors, with derivatives of functions of all variables: (q41,q4,p7,p4,p3,p9) Step 1278: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_277. e_277: 3 terms, 12 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q6,p7 ,p7,p5,p1,p9 ) is replaced by e_630: 3 terms, 9 factors, with derivatives of functions of all variables: (q28,q6,q4,p7,p5,p1,p9) Step 1279: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 736 2-Oct-2003 13:27:22, 50 ms (1%), 1254399 occupied, 23745535 free Eliminate q28 from e_88 and e_654. e_654: 7 terms, 21 factors, with derivatives of functions of all variables: (q28,q23,q14,q6,q4,p10,p7,p6,p1,p9) is replaced by e_278: 7 terms, 21 factors, with derivatives of functions of all variables: (q23,q14,q6,q4,p10,p7,p6,p1,p9) Step 1280: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 737 2-Oct-2003 13:27:25, 50 ms (1%), 1241465 occupied, 23758467 free *** Garbage collection starting *** GC 738 2-Oct-2003 13:27:29, 50 ms (1%), 1249475 occupied, 23750453 free Eliminate q28 from e_88 and e_272. e_272: 8 terms, 24 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q4,p7,p6,p5,p1,p9) is replaced by e_141: 8 terms, 24 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p1,p9) Step 1281: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_88 and e_224. e_224: 8 terms, 24 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q4,p7,p6,p5,p1,p9) is replaced by e_50: 8 terms, 24 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p1,p9) Step 1282: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 739 2-Oct-2003 13:27:32, 50 ms (1%), 1228917 occupied, 23771018 free Eliminate q27 from e_50 and e_141. e_50: 8 terms, 24 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p1,p9) is replaced by e_338: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p5,p1,p9) Step 1283: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_300 and e_571. e_571: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_298: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) Step 1284: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_298. e_298: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_10: 6 terms, 18 factors, with derivatives of functions of all variables: (q23,q6,q4,p7,p5,p4,p1,p9) Step 1285: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 740 2-Oct-2003 13:27:35, 50 ms (1%), 1193956 occupied, 23805988 free Eliminate q28 from e_300 and e_241. e_241: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q28,q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_642: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) Step 1286: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_642. e_642: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q6,q4,p7 ,p7,p5,p4,p1,p9 ,p9) is replaced by e_592: 6 terms, 18 factors, with derivatives of functions of all variables: (q23,q6,q4,p7,p5,p4,p1,p9) Step 1287: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 741 2-Oct-2003 13:27:38, 50 ms (1%), 1188988 occupied, 23810958 free Eliminate q28 from e_300 and e_662. e_662: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q4,p7 ,p7,p4,p1,p9 ,p9) is replaced by e_628: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p1,p9 ,p9) Step 1288: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_628. e_628: 6 terms, 24 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p1,p9 ,p9) is replaced by e_528: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q23,q15,p7,p4,p1,p9) Step 1289: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_661 and e_528. e_528: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q23,q15,p7,p4,p1,p9) is replaced by e_253: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q15,q14,p7,p4,p1,p9) Step 1290: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 742 2-Oct-2003 13:27:41, 50 ms (1%), 1195492 occupied, 23804453 free Eliminate q38 from e_253 and e_3. e_253: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q15,q14,p7,p4,p1,p9) is replaced by e_261: 4 terms, 12 factors, with derivatives of functions of all variables: (q15,q14,q4,p7,p4,p1,p9) Step 1291: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 743 2-Oct-2003 13:27:44, 50 ms (1%), 1255960 occupied, 23743969 free *** Garbage collection starting *** GC 744 2-Oct-2003 13:27:47, 50 ms (1%), 1216568 occupied, 23783371 free Eliminate q28 from e_88 and e_522. e_522: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q14,q4,p7 ,p7,p6,p1,p9 ,p9) is replaced by e_170: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q4,p7 ,p7,p6,p1,p9 ,p9) Step 1292: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_266 and e_170. e_170: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q4,p7 ,p7,p6,p1,p9 ,p9) is replaced by e_144: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q23,q14,q4,p7,p6,p1,p9) Step 1293: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 745 2-Oct-2003 13:27:50, 50 ms (1%), 1271651 occupied, 23728275 free Eliminate q28 from e_356 and e_293. e_293: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q14,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_354: 7 terms, 21 factors, with derivatives of functions of all variables: (q38,q27,q23,q14,p7,p6,p3,p1,p9) Step 1294: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 746 2-Oct-2003 13:27:54, 60 ms (1%), 1263005 occupied, 23736920 free Eliminate q38 from e_354 and e_636. e_636: 11 terms, 33 factors, with derivatives of functions of all variables: (q38,q28,q27,q23,q14,p7,p6,p3,p1,p9) is replaced by e_621: 10 terms, 30 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,p7,p6,p3,p1,p9) Step 1295: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_598 and e_486. e_486: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q22,q14,p7,p6,p5,p1,p9 ,p9) is replaced by e_594: 6 terms, 18 factors, with derivatives of functions of all variables: 2 (q23,q22,q14,p7,p5,p9 ,p9) Step 1296: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1297: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1298: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_137 and e_235. e_235: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q23,q22,p7,p5,p9 ,p9) is replaced by e_664: 4 terms, 12 factors, with derivatives of functions of all variables: 2 (q22,q14,p7,p5,p9 ,p9) Step 1299: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 747 2-Oct-2003 13:27:57, 60 ms (1%), 1240732 occupied, 23759201 free *** Garbage collection starting *** GC 748 2-Oct-2003 13:28:00, 50 ms (1%), 1217113 occupied, 23782825 free *** Garbage collection starting *** GC 749 2-Oct-2003 13:28:03, 50 ms (1%), 1200316 occupied, 23799629 free Eliminate q23 from e_661 and e_547. e_547: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q23,q15,p7,p4,p3,p1,p9) is replaced by e_483: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q15,q14,p7,p4,p3,p1,p9) Step 1300: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 750 2-Oct-2003 13:28:06, 50 ms (1%), 1274929 occupied, 23725000 free Eliminate q22 from e_664 and e_314. e_314: 3 terms, 9 factors, with derivatives of functions of all variables: 2 (q27,q22,p7,p6,p9 ,p9) is replaced by e_437: 3 terms, 9 factors, with derivatives of functions of all variables: (q27,q14,p7,p6,p5,p9) Step 1301: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_437 and e_141. e_141: 8 terms, 24 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p1,p9) is replaced by e_125: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p5,p1,p9) Step 1302: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 751 2-Oct-2003 13:28:10, 50 ms (1%), 1236297 occupied, 23763634 free Eliminate q28 from e_300 and e_567. e_567: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_649: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) Step 1303: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 752 2-Oct-2003 13:28:13, 50 ms (1%), 1224835 occupied, 23775086 free Eliminate q27 from e_323 and e_649. e_649: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_353: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q23,q15,q4,p7,p4,p3,p1,p9) Step 1304: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_300 and e_509. e_509: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_109: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) Step 1305: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_109. e_109: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q4,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_668: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q23,q15,q4,p7,p4,p3,p1,p9) Step 1306: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_353 and e_668. e_353: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q23,q15,q4,p7,p4,p3,p1,p9) is replaced by e_220: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q23,q4,p7,p4,p1) Step 1307: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 753 2-Oct-2003 13:28:16, 50 ms (1%), 1198409 occupied, 23801537 free Eliminate q23 from e_220 and e_650. e_650: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q28,q23,q15,q4,q3,p7,p5,p4,p3,p1,p9 ,p9) is replaced by e_18: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q28,q15,q4,q3,p7,p5,p3,p1,p9 ,p9) Step 1308: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_437 and e_526. e_526: 9 terms, 27 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q6,p10,p7,p6,p5,p1,p9) is replaced by e_610: 9 terms, 27 factors, with derivatives of functions of all variables: (q28,q23,q14,q6,p10,p7,p6,p5,p1,p9) Step 1309: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 754 2-Oct-2003 13:28:20, 50 ms (1%), 1236553 occupied, 23763379 free *** Garbage collection starting *** GC 755 2-Oct-2003 13:28:23, 60 ms (1%), 1227016 occupied, 23772911 free Eliminate q28 from e_88 and e_71. e_71: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q14,q9,q4,p7 ,p7,p6,p1,p9 ,p9) is replaced by e_648: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q9,q4,p7 ,p7,p6,p1,p9 ,p9) Step 1310: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_648. e_648: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q9,q4,p7 ,p7,p6,p1,p9 ,p9) is replaced by e_656: 7 terms, 21 factors, with derivatives of functions of all variables: (q38,q23,q14,q9,q4,p7,p6,p1,p9) Step 1311: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 756 2-Oct-2003 13:28:26, 50 ms (1%), 1193422 occupied, 23806524 free Eliminate q38 from e_144 and e_656. e_656: 7 terms, 21 factors, with derivatives of functions of all variables: (q38,q23,q14,q9,q4,p7,p6,p1,p9) is replaced by e_593: 6 terms, 18 factors, with derivatives of functions of all variables: (q23,q14,q9,q4,p7,p6,p1,p9) Step 1312: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_661 and e_308. e_308: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q15,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_632: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q27,q15,q14,p7 ,p7,p4,p3,p1,p9 ,p9) Step 1313: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 757 2-Oct-2003 13:28:30, 50 ms (1%), 1275218 occupied, 23724713 free Eliminate q27 from e_632 and e_85. e_85: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q20,q15,q14,p7 ,p7,p4,p3,p1,p9 ) is replaced by e_351: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q20,q14,p7,p4,p3,p1,p9) Step 1314: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 758 2-Oct-2003 13:28:33, 50 ms (1%), 1196354 occupied, 23803589 free Eliminate q28 from e_88 and e_208. e_208: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q28,q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_578: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) Step 1315: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_88 and e_295. e_295: 10 terms, 40 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q14,q4,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_639: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q4,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1316: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 759 2-Oct-2003 13:28:36, 60 ms (1%), 1275678 occupied, 23724249 free Eliminate q38 from e_144 and e_639. e_639: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q4,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_597: 7 terms, 28 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q14,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1317: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_356 and e_631. e_631: 10 terms, 40 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q14,q9,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_607: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q9,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1318: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 760 2-Oct-2003 13:28:40, 50 ms (1%), 1201600 occupied, 23798344 free Eliminate q38 from e_354 and e_607. e_607: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q14,q9,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_12: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q14,q9,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1319: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_632. e_632: 5 terms, 20 factors, with derivatives of functions of all variables: 2 2 (q27,q15,q14,p7 ,p7,p4,p3,p1,p9 ,p9) is replaced by e_643: 5 terms, 15 factors, with derivatives of functions of all variables: (q15,q14,q4,p7,p4,p3,p1,p9) Step 1320: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q15 from e_261 and e_643. e_643: 5 terms, 15 factors, with derivatives of functions of all variables: (q15,q14,q4,p7,p4,p3,p1,p9) is replaced by e_2: 4 terms, 12 factors, with derivatives of functions of all variables: (q14,q4,p7,p4,p3,p1,p9) Step 1321: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 761 2-Oct-2003 13:28:43, 50 ms (1%), 1229107 occupied, 23770817 free *** Garbage collection starting *** GC 762 2-Oct-2003 13:28:47, 50 ms (1%), 1206555 occupied, 23793387 free Eliminate q15 from e_261 and e_483. e_483: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q15,q14,p7,p4,p3,p1,p9) is replaced by e_441: 5 terms, 15 factors, with derivatives of functions of all variables: (q38,q14,q4,p7,p4,p3,p1,p9) Step 1322: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_88 and e_624. e_624: 15 terms, 45 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) is replaced by e_355: 15 terms, 45 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) Step 1323: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 763 2-Oct-2003 13:28:50, 50 ms (1%), 1249524 occupied, 23750405 free Eliminate q27 from e_437 and e_355. e_355: 15 terms, 45 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) is replaced by e_617: 14 terms, 42 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p5,p3,p1,p9) Step 1324: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 764 2-Oct-2003 13:28:53, 50 ms (1%), 1203899 occupied, 23796043 free *** Garbage collection starting *** GC 765 2-Oct-2003 13:28:57, 60 ms (1%), 1201467 occupied, 23798477 free *** Garbage collection starting *** GC 766 2-Oct-2003 13:29:00, 50 ms (1%), 1208399 occupied, 23791545 free Eliminate q28 from e_598 and e_641. e_641: 15 terms, 45 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) is replaced by e_367: 14 terms, 42 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) Step 1325: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 767 2-Oct-2003 13:29:04, 50 ms (1%), 1192463 occupied, 23807482 free Eliminate q27 from e_437 and e_367. e_367: 14 terms, 42 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p5,p3,p1,p9) is replaced by e_651: 13 terms, 39 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p5,p3,p1,p9) Step 1326: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 768 2-Oct-2003 13:29:07, 60 ms (1%), 1262006 occupied, 23737924 free Eliminate q28 from e_88 and e_652. e_652: 9 terms, 27 factors, with derivatives of functions of all variables: (q28,q23,q22,q14,q6,q4,p10,p7,p6,p5,p1,p9) is replaced by e_659: 9 terms, 27 factors, with derivatives of functions of all variables: (q23,q22,q14,q6,q4,p10,p7,p6,p5,p1,p9) Step 1327: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 769 2-Oct-2003 13:29:11, 60 ms (1%), 1269670 occupied, 23730254 free *** Garbage collection starting *** GC 770 2-Oct-2003 13:29:14, 50 ms (1%), 1215393 occupied, 23784547 free Eliminate q23 from e_661 and e_508. e_508: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q27,q23,q20,q3,p5,p4,p3,p9) is replaced by e_616: 6 terms, 12 factors, with derivatives of functions of all variables: (q28,q27,q20,q14,q3,p5,p4,p3,p9) Step 1328: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_437 and e_360. e_360: 11 terms, 33 factors, with derivatives of functions of all variables: (q28,q27,q23,q22,q14,q6,p10,p7,p6,p5,p1,p9) is replaced by e_606: 11 terms, 33 factors, with derivatives of functions of all variables: (q28,q23,q22,q14,q6,p10,p7,p6,p5,p1,p9) Step 1329: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 771 2-Oct-2003 13:29:18, 50 ms (1%), 1238435 occupied, 23761492 free *** Garbage collection starting *** GC 772 2-Oct-2003 13:29:21, 50 ms (1%), 1218356 occupied, 23781567 free Eliminate q23 from e_661 and e_263. e_263: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q27,q23,q20,q3,p7,p5,p4,p3,p9 ,p9) is replaced by e_609: 5 terms, 15 factors, with derivatives of functions of all variables: 2 (q27,q20,q14,q3,p7,p5,p4,p3,p9 ,p9) Step 1330: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 773 2-Oct-2003 13:29:25, 50 ms (1%), 1205345 occupied, 23794598 free *** Garbage collection starting *** GC 774 2-Oct-2003 13:29:28, 50 ms (1%), 1207244 occupied, 23792696 free Eliminate q23 from e_661 and e_668. e_668: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q23,q15,q4,p7,p4,p3,p1,p9) is replaced by e_481: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q15,q14,q4,p7,p4,p3,p1,p9) Step 1331: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q15 from e_261 and e_481. e_481: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q15,q14,q4,p7,p4,p3,p1,p9) is replaced by e_519: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q14,q4,p7,p4,p3,p1,p9) Step 1332: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_519 and e_3. e_519: 4 terms, 12 factors, with derivatives of functions of all variables: (q38,q14,q4,p7,p4,p3,p1,p9) is replaced by e_570: 4 terms, 12 factors, with derivatives of functions of all variables: (q14,q4,p7,p4,p3,p1,p9) Step 1333: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 775 2-Oct-2003 13:29:32, 60 ms (1%), 1201634 occupied, 23798310 free Eliminate q23 from e_661 and e_216. e_216: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q23,q20,q15,p7,p4,p3,p1,p9) is replaced by e_372: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q20,q15,q14,p7,p4,p3,p1,p9) Step 1334: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q22 from e_664 and e_9. e_9: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q22,q14,q3,p10,p7,p6,p5,p1,p9 ,p9) is replaced by e_667: 13 terms, 39 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q3,p10,p7,p6,p5,p1,p9) Step 1335: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 776 2-Oct-2003 13:29:35, 50 ms (1%), 1191115 occupied, 23808829 free Eliminate q28 from e_598 and e_667. e_667: 13 terms, 39 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q3,p10,p7,p6,p5,p1,p9) is replaced by e_476: 5 terms, 15 factors, with derivatives of functions of all variables: (q23,q14,q3,p10,p7,p5,p9) Step 1336: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1337: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1338: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_495 and e_426. e_426: 10 terms, 30 factors, with derivatives of functions of all variables: (q28,q27,q23,q15,q14,q9,p10,p7,p6,p3,p1,p9) is replaced by e_653: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q9,p10,p7,p3,p1,p9) Step 1339: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 777 2-Oct-2003 13:29:39, 50 ms (1%), 1233783 occupied, 23766154 free *** Garbage collection starting *** GC 778 2-Oct-2003 13:29:42, 50 ms (1%), 1208014 occupied, 23791932 free Eliminate q28 from e_438 and e_618. e_618: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_583: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q27,q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) Step 1340: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_437 and e_583. e_583: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q27,q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_666: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q23,q22,q14,q4,p7,p6,p5,p3,p1,p9 ,p9) Step 1341: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 779 2-Oct-2003 13:29:46, 50 ms (1%), 1213206 occupied, 23786738 free Eliminate q28 from e_596 and e_366. e_366: 18 terms, 54 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q14,q9,q4,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_612: 17 terms, 51 factors, with derivatives of functions of all variables: 2 (q27,q23,q14,q9,q4,p7,p6,p5,p3,p1,p9 ,p9) Step 1342: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 780 2-Oct-2003 13:29:49, 50 ms (1%), 1245148 occupied, 23754787 free Eliminate q28 from e_598 and e_640. e_640: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q22,q14,q9,q4,p7,p6,p5,p1,p9 ,p9) is replaced by e_608: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q27,q23,q22,q14,q9,q4,p7,p6,p5,p1,p9 ,p9) Step 1343: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 781 2-Oct-2003 13:29:53, 50 ms (1%), 1204592 occupied, 23795351 free Eliminate q15 from e_261 and e_372. e_372: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q20,q15,q14,p7,p4,p3,p1,p9) is replaced by e_480: 6 terms, 18 factors, with derivatives of functions of all variables: (q38,q20,q14,q4,p7,p4,p3,p1,p9) Step 1344: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 782 2-Oct-2003 13:29:56, 50 ms (1%), 1200510 occupied, 23799436 free Eliminate q28 from e_88 and e_621. e_621: 10 terms, 30 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,p7,p6,p3,p1,p9) is replaced by e_258: 10 terms, 30 factors, with derivatives of functions of all variables: (q27,q23,q14,q4,p7,p6,p3,p1,p9) Step 1345: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 783 2-Oct-2003 13:30:00, 50 ms (1%), 1206560 occupied, 23793381 free *** Garbage collection starting *** GC 784 2-Oct-2003 13:30:03, 50 ms (1%), 1235066 occupied, 23764858 free *** Garbage collection starting *** GC 785 2-Oct-2003 13:30:07, 50 ms (1%), 1194424 occupied, 23805522 free Eliminate q38 from e_144 and e_40. e_40: 10 terms, 30 factors, with derivatives of functions of all variables: (q38,q23,q14,q9,p7,p6,p3,p1,p9) is replaced by e_637: 10 terms, 30 factors, with derivatives of functions of all variables: (q23,q14,q9,q4,p7,p6,p3,p1,p9) Step 1346: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 786 2-Oct-2003 13:30:10, 50 ms (1%), 1214252 occupied, 23785693 free *** Garbage collection starting *** GC 787 2-Oct-2003 13:30:14, 50 ms (1%), 1230804 occupied, 23769122 free Eliminate q28 from e_88 and e_345. e_345: 11 terms, 33 factors, with derivatives of functions of all variables: (q38,q28,q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) is replaced by e_670: 10 terms, 30 factors, with derivatives of functions of all variables: (q38,q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) Step 1347: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 788 2-Oct-2003 13:30:17, 50 ms (1%), 1198695 occupied, 23801250 free Eliminate q38 from e_144 and e_670. e_670: 10 terms, 30 factors, with derivatives of functions of all variables: (q38,q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) is replaced by e_657: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) Step 1348: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_279 and e_657. e_657: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) is replaced by e_4: 6 terms, 18 factors, with derivatives of functions of all variables: (q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) Step 1349: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_661 and e_475. e_475: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q23,q15,q14,q6,q4,p7,p5,p4,p1,p9 ,p9) is replaced by e_646: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q14,q6,q4,p7,p5,p4,p1,p9 ,p9) Step 1350: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 789 2-Oct-2003 13:30:21, 50 ms (1%), 1247986 occupied, 23751943 free Eliminate q23 from e_661 and e_601. e_601: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q23,q20,q14,q4,q3,p7,p5,p4,p3,p9 ,p9) is replaced by e_588: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q20,q14,q4,q3,p7,p5,p4,p3,p9 ,p9) Step 1351: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 790 2-Oct-2003 13:30:25, 50 ms (1%), 1219376 occupied, 23780548 free Eliminate q38 from e_658 and e_588. e_588: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q20,q14,q4,q3,p7,p5,p4,p3,p9 ,p9) is replaced by e_647: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q28,q27,q20,q14,q4,q3,p7,p5,p4,p3,p9 ,p9) Step 1352: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 791 2-Oct-2003 13:30:29, 50 ms (1%), 1220260 occupied, 23779667 free Eliminate q28 from e_88 and e_255. e_255: 11 terms, 44 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q14,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_611: 10 terms, 40 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1353: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 792 2-Oct-2003 13:30:32, 50 ms (1%), 1226453 occupied, 23773474 free Eliminate q38 from e_144 and e_611. e_611: 10 terms, 40 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_13: 9 terms, 36 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q15,q14,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1354: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 793 2-Oct-2003 13:30:36, 50 ms (1%), 1252324 occupied, 23747609 free *** Garbage collection starting *** GC 794 2-Oct-2003 13:30:40, 60 ms (1%), 1238732 occupied, 23761195 free Eliminate q23 from e_661 and e_586. e_586: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q27,q23,q15,q4,p5,p4,p3,p1,p9) is replaced by e_217: 7 terms, 14 factors, with derivatives of functions of all variables: (q28,q27,q15,q14,q4,p5,p4,p3,p1,p9) Step 1355: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_356 and e_622. e_622: 14 terms, 56 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q14,q9,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_92: 13 terms, 52 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q9,p10,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1356: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 795 2-Oct-2003 13:30:44, 60 ms (1%), 1223224 occupied, 23776708 free Eliminate q38 from e_354 and e_92. e_92: 13 terms, 52 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q9,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_400: 12 terms, 48 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q15,q14,q9,p10,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1357: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_596 and e_644. e_644: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q14,q9,q3,p10,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_619: 15 terms, 45 factors, with derivatives of functions of all variables: 2 (q27,q23,q14,q9,q3,p10,p7,p6,p5,p3,p1,p9 ,p9) Step 1358: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 796 2-Oct-2003 13:30:47, 60 ms (1%), 1216012 occupied, 23783915 free *** Garbage collection starting *** GC 797 2-Oct-2003 13:30:51, 50 ms (1%), 1213148 occupied, 23786793 free *** Garbage collection starting *** GC 798 2-Oct-2003 13:30:55, 50 ms (1%), 1227747 occupied, 23772184 free Eliminate q23 from e_661 and e_633. e_633: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q6,q4,p7,p5,p4,p1,p9 ,p9) is replaced by e_294: 8 terms, 24 factors, with derivatives of functions of all variables: 2 (q28,q27,q14,q6,q4,p7,p5,p4,p1,p9 ,p9) Step 1359: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 799 2-Oct-2003 13:30:59, 50 ms (1%), 1190857 occupied, 23809089 free Eliminate q28 from e_88 and e_610. e_610: 9 terms, 27 factors, with derivatives of functions of all variables: (q28,q23,q14,q6,p10,p7,p6,p5,p1,p9) is replaced by e_290: 9 terms, 27 factors, with derivatives of functions of all variables: (q23,q14,q6,q4,p10,p7,p6,p5,p1,p9) Step 1360: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_596 and e_438. e_438: 9 terms, 18 factors, with derivatives of functions of all variables: (q28,q27,q23,q22,q14,p6,p5,p3,p1,p9) is replaced by e_600: 9 terms, 18 factors, with derivatives of functions of all variables: (q27,q23,q22,q14,q9,p6,p5,p3,p1,p9) Step 1361: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 800 2-Oct-2003 13:31:03, 50 ms (1%), 1215747 occupied, 23784174 free *** Garbage collection starting *** GC 801 2-Oct-2003 13:31:07, 50 ms (1%), 1214327 occupied, 23785601 free *** Garbage collection starting *** GC 802 2-Oct-2003 13:31:11, 60 ms (1%), 1215524 occupied, 23784406 free Eliminate q23 from e_661 and e_327. e_327: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q23,q15,q14,q4,q3,p7,p5,p4,p3,p1,p9 ,p9) is replaced by e_573: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q14,q4,q3,p7,p5,p4,p3,p1,p9 ,p9) Step 1362: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_570 and e_573. e_573: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q14,q4,q3,p7,p5,p4,p3,p1,p9 ,p9) is replaced by e_663: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q4,q3,p7,p5,p3,p1,p9 ,p9) Step 1363: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 803 2-Oct-2003 13:31:15, 50 ms (1%), 1216594 occupied, 23783323 free Eliminate q28 from e_88 and e_334. e_334: 12 terms, 48 factors, with derivatives of functions of all variables: 2 2 (q38,q28,q27,q23,q15,q14,q9,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_635: 11 terms, 44 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q9,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1364: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 804 2-Oct-2003 13:31:19, 50 ms (1%), 1186458 occupied, 23813489 free --- Length reducing decoupling steps : Eliminate q27 from e_323 and e_635. e_635: 11 terms, 44 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q15,q14,q9,q4,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_605: 10 terms, 30 factors, with derivatives of functions of all variables: (q38,q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) Step 1365: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q15 from e_4 and e_605. e_605: 10 terms, 30 factors, with derivatives of functions of all variables: (q38,q23,q15,q14,q9,q4,p10,p7,p6,p3,p1,p9) is replaced by e_590: 8 terms, 24 factors, with derivatives of functions of all variables: (q38,q23,q14,q4,p7,p6,p3,p1,p9) Step 1366: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 805 2-Oct-2003 13:31:23, 50 ms (1%), 1196706 occupied, 23803240 free Eliminate q38 from e_144 and e_590. e_590: 8 terms, 24 factors, with derivatives of functions of all variables: (q38,q23,q14,q4,p7,p6,p3,p1,p9) is replaced by e_484: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p3,p1) Step 1367: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_279 and e_484. e_484: (#) 5 terms, 11 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p3,p1) is replaced by e_655: (#) 2 terms, 5 factors, with derivatives of functions of all variables: (q14,q4,p7,p6,p1) Step 1368: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 806 2-Oct-2003 13:31:27, 50 ms (1%), 1214840 occupied, 23785101 free Eliminate q23 from e_220 and e_517. e_517: 16 terms, 48 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q23,q15,q6,q4,q3,p7,p5,p4,p3,p1,p9 ,p9) is replaced by e_310: 16 terms, 48 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q6,q4,q3,p7,p5,p3,p1,p9 ,p9) Step 1369: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 807 2-Oct-2003 13:31:31, 50 ms (1%), 1213270 occupied, 23786670 free Eliminate q38 from e_658 and e_310. e_310: 16 terms, 48 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q6,q4,q3,p7,p5,p3,p1,p9 ,p9) is replaced by e_638: 16 terms, 48 factors, with derivatives of functions of all variables: 2 (q28,q27,q15,q6,q4,q3,p7,p5,p3,p1,p9 ,p9) Step 1370: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 808 2-Oct-2003 13:31:35, 50 ms (1%), 1236881 occupied, 23763050 free Eliminate q28 from e_596 and e_383. e_383: 17 terms, 51 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q14,q9,q4,q3,p10,p7,p6,p5,p3,p1,p9 ,p9) is replaced by e_277: 17 terms, 51 factors, with derivatives of functions of all variables: 2 (q27,q23,q14,q9,q4,q3,p10,p7,p6,p5,p3,p1,p9 ,p9) Step 1371: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 809 2-Oct-2003 13:31:40, 60 ms (1%), 1242033 occupied, 23757893 free Eliminate q23 from e_661 and e_524. e_524: 9 terms, 18 factors, with derivatives of functions of all variables: (q28,q27,q23,q15,q6,q4,p5,p4,p3,p1,p9) is replaced by e_196: 9 terms, 18 factors, with derivatives of functions of all variables: (q28,q27,q15,q14,q6,q4,p5,p4,p3,p1,p9) Step 1372: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 810 2-Oct-2003 13:31:44, 60 ms (1%), 1188919 occupied, 23811027 free Eliminate q23 from e_661 and e_447. e_447: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q28,q27,q23,q15,q3,p7,p5,p4,p3,p1,p9 ,p9) is replaced by e_669: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q28,q27,q15,q14,q3,p7,p5,p4,p3,p1,p9 ,p9) Step 1373: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_88 and e_495. e_495: 9 terms, 27 factors, with derivatives of functions of all variables: (q28,q27,q23,q15,q14,p10,p7,p6,p3,p1,p9) is replaced by e_131: 9 terms, 27 factors, with derivatives of functions of all variables: (q27,q23,q15,q14,q4,p10,p7,p6,p3,p1,p9) Step 1374: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 811 2-Oct-2003 13:31:48, 60 ms (1%), 1221854 occupied, 23778075 free Eliminate q27 from e_131 and e_258. e_131: 9 terms, 27 factors, with derivatives of functions of all variables: (q27,q23,q15,q14,q4,p10,p7,p6,p3,p1,p9) is replaced by e_654: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q4,p10,p7,p6,p3,p1,p9) Step 1375: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q15 from e_4 and e_654. e_654: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q4,p10,p7,p6,p3,p1,p9) is replaced by e_272: 7 terms, 21 factors, with derivatives of functions of all variables: (q23,q14,q9,q4,p7,p6,p3,p1,p9) Step 1376: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 812 2-Oct-2003 13:31:53, 60 ms (1%), 1223810 occupied, 23776117 free Eliminate q27 from e_323 and e_325. e_325: 8 terms, 32 factors, with derivatives of functions of all variables: 2 2 (q38,q27,q23,q20,q14,q9,p10,p7 ,p7,p6,p3,p9 ,p9) is replaced by e_224: 8 terms, 24 factors, with derivatives of functions of all variables: (q38,q23,q20,q14,q9,q4,p10,p7,p6,p3,p9) Step 1377: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 813 2-Oct-2003 13:31:57, 60 ms (1%), 1229967 occupied, 23769959 free *** Garbage collection starting *** GC 814 2-Oct-2003 13:32:02, 50 ms (1%), 1210981 occupied, 23788957 free *** Garbage collection starting *** GC 815 2-Oct-2003 13:32:06, 50 ms (1%), 1211160 occupied, 23788784 free Eliminate q14 from e_570 and e_647. e_647: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q28,q27,q20,q14,q4,q3,p7,p5,p4,p3,p9 ,p9) is replaced by e_50: 14 terms, 42 factors, with derivatives of functions of all variables: 2 (q28,q27,q20,q4,q3,p7,p5,p3,p1,p9 ,p9) Step 1378: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 816 2-Oct-2003 13:32:11, 50 ms (1%), 1222676 occupied, 23777256 free *** Garbage collection starting *** GC 817 2-Oct-2003 13:32:16, 50 ms (1%), 1195210 occupied, 23804736 free Eliminate q23 from e_661 and e_489. e_489: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q23,q15,q14,q6,q4,q3,p7 ,p7,p5,p4,p3,p1,p9 ,p9 ,p9) is replaced by e_571: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q15,q14,q6,q4,q3,p7 ,p7,p5,p4,p3,p1,p9 ,p9 ,p9) Step 1379: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q14 from e_570 and e_571. e_571: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q15,q14,q6,q4,q3,p7 ,p7,p5,p4,p3,p1,p9 ,p9 ,p9) is replaced by e_298: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q15,q6,q4,q3,p7 ,p7,p5,p3,p1,p9 ,p9 ,p9) Step 1380: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_658 and e_298. e_298: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q38,q28,q27,q15,q6,q4,q3,p7 ,p7,p5,p3,p1,p9 ,p9 ,p9) is replaced by e_241: 18 terms, 72 factors, with derivatives of functions of all variables: 2 3 2 (q28,q27,q15,q6,q4,q3,p7 ,p7,p5,p3,p1,p9 ,p9 ,p9) Step 1381: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 818 2-Oct-2003 13:32:20, 50 ms (1%), 1213423 occupied, 23786515 free Eliminate q15 from e_4 and e_400. e_400: 12 terms, 48 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q15,q14,q9,p10,p7 ,p7,p6,p3,p1,p9 ,p9) is replaced by e_642: 12 terms, 48 factors, with derivatives of functions of all variables: 2 2 (q27,q23,q14,q9,q4,p7 ,p7,p6,p3,p1,p9 ,p9) Step 1382: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 819 2-Oct-2003 13:32:25, 50 ms (1%), 1211932 occupied, 23788009 free *** Garbage collection starting *** GC 820 2-Oct-2003 13:32:30, 50 ms (1%), 1203097 occupied, 23796846 free *** Garbage collection starting *** GC 821 2-Oct-2003 13:32:35, 50 ms (1%), 1205427 occupied, 23794517 free *** Garbage collection starting *** GC 822 2-Oct-2003 13:32:40, 60 ms (1%), 1195058 occupied, 23804887 free Eliminate q14 from e_570 and e_646. e_646: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q14,q6,q4,p7,p5,p4,p1,p9 ,p9) is replaced by e_662: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q6,q4,p7,p5,p3,p1,p9 ,p9) Step 1383: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 823 2-Oct-2003 13:32:45, 50 ms (1%), 1200082 occupied, 23799864 free *** Garbage collection starting *** GC 824 2-Oct-2003 13:32:50, 50 ms (1%), 1217907 occupied, 23782015 free Eliminate q15 from e_4 and e_653. e_653: 8 terms, 24 factors, with derivatives of functions of all variables: (q23,q15,q14,q9,p10,p7,p3,p1,p9) is replaced by e_628: 7 terms, 21 factors, with derivatives of functions of all variables: (q23,q14,q4,p7,p6,p3,p1,p9) Step 1384: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 825 2-Oct-2003 13:32:56, 50 ms (1%), 1227308 occupied, 23772628 free *** Garbage collection starting *** GC 826 2-Oct-2003 13:33:01, 50 ms (1%), 1213430 occupied, 23786507 free *** Garbage collection starting *** GC 827 2-Oct-2003 13:33:06, 50 ms (1%), 1192792 occupied, 23807154 free *** Garbage collection starting *** GC 828 2-Oct-2003 13:33:12, 50 ms (1%), 1219725 occupied, 23780199 free Eliminate q27 from e_619 and e_623. e_623: 16 terms, 48 factors, with derivatives of functions of all variables: (q28,q27,q23,q14,q6,q3,p10,p7,p6,p5,p3,p1,p9) is replaced by e_528: 16 terms, 48 factors, with derivatives of functions of all variables: 2 (q28,q23,q14,q9,q6,q3,p10,p7,p6,p5,p3,p1,p9 ,p9) Step 1385: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 829 2-Oct-2003 13:33:17, 50 ms (1%), 1193952 occupied, 23805994 free *** Garbage collection starting *** GC 830 2-Oct-2003 13:33:23, 60 ms (1%), 1211300 occupied, 23788639 free *** Garbage collection starting *** GC 831 2-Oct-2003 13:33:29, 50 ms (1%), 1220609 occupied, 23779320 free *** Garbage collection starting *** GC 832 2-Oct-2003 13:33:35, 50 ms (1%), 1192781 occupied, 23807165 free *** Garbage collection starting *** GC 833 2-Oct-2003 13:33:42, 50 ms (1%), 1196710 occupied, 23803234 free Stop of a subroutine. Number of garbage collections exceeds max_gc_red_len. --- Factorization to subcases leading to substitutions : factorizing e_634 we get the alternative equations : 0=q14 0=p6 New level : 1.1.2.1. CRACK is now called with the new equation e_684 : 0=q14 e_615 is a consequence of e_684 Step 1386: Hot list of urgent steps : The list of inequalities got extended by: An expression with 59 terms The list of inequalities got extended by: An expression with 48 terms The list of inequalities got extended by: An expression with 59 terms Substitution of q14 found in e_684 : q14=0 Step 1387: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 61 terms Substitution of q20 by an expression in q27, q3, p5, p3, p9 found in e_255 : 14 factors in 4 terms Step 1388: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 49 terms The list of inequalities got extended by: An expression with 61 terms Substitution of q3 by an expression in q28, q27, p5, p3, p9 found in e_621 : - p3*q28 + p5*q27 q3=-------------------- p9 Step 1389: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1390: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1391: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1392: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1393: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1394: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1395: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1396: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1397: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1398: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1399: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1400: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1401: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1402: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1403: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1404: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1405: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1406: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1407: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1408: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1409: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1410: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1411: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1412: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1413: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1414: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1415: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 52 terms The list of inequalities got extended by: An expression with 64 terms Substitution of q22 by an expression in q23, q4, p6, p5, p3, p1, p9 found in e_668 : 16 factors in 5 terms Step 1416: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1417: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1418: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1419: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1420: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1421: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1422: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1423: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1424: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1425: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1426: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1427: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1428: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1429: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : *** Garbage collection starting *** GC 834 2-Oct-2003 13:33:45, 60 ms (1%), 1207244 occupied, 23792702 free shortening by 3 terms Step 1430: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1431: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1432: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1433: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1434: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1435: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 3 terms Step 1436: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1437: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1438: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1439: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_10 is a consequence of e_592. Step 1440: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1441: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1442: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1443: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1444: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1445: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 67 terms Substitution of q9 by an expression in q27, q23, q4, p6, p3, p1, p9 found in e_668 : 14 factors in 5 terms Step 1446: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1447: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1448: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1449: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1450: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1451: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1452: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1453: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1454: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms Step 1455: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1456: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1457: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1458: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1459: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1460: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1461: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1462: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1463: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1464: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1465: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1466: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1467: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1468: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1469: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1470: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1471: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1472: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_308 is a consequence of e_322. Step 1473: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1474: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1475: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1476: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1477: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1478: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1479: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1480: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1481: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1482: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1483: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1484: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1485: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1486: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_668 is a consequence of e_352. Step 1487: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_216 is a consequence of e_352. Step 1488: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1489: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1490: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1491: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1492: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1493: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1494: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1495: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1496: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1497: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1498: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1499: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1500: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1501: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1502: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1503: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1504: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 835 2-Oct-2003 13:33:48, 60 ms (1%), 1268609 occupied, 23731312 free Eliminate q4 from e_519 and e_300. e_300: 0=(q28 + q4)*p7*p1 is replaced by e_308: 0=p1*p7*q28 Step 1505: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1506: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1507: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1508: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1509: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1510: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_583 and e_88. e_88: 0=(q28 + q4)*p7*p6 is replaced by e_208: 0=p6*p7*q28 Step 1511: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1512: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1513: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1514: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1515: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1516: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_519 and e_475. e_475: 0=(6*p7*q4 - p9*q38)*p1 is replaced by e_367: 0=p1*q38 Step 1517: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_519 and e_670. e_670: 0=p7*(12*p1*q4 - p9*q15) is replaced by e_400: 0=p7*q15 Step 1518: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 836 2-Oct-2003 13:33:52, 60 ms (1%), 1265846 occupied, 23734076 free Eliminate q4 from e_583 and e_674. e_674: 2 terms, 6 factors, with derivatives of functions of all variables: (q23,q4,p7,p6,p1,p9) is replaced by e_438: 0=p1*q23 Step 1519: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1520: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1521: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1522: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1523: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1524: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1525: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1526: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1527: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1528: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1529: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1530: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1531: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1532: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1533: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1534: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1535: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1536: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1537: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1538: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1539: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1540: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1541: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1542: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1543: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1544: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1545: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1546: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1547: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_353 is a consequence of e_640. Step 1548: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1549: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1550: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1551: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1552: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1553: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1554: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1555: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1556: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1557: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1558: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1559: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 837 2-Oct-2003 13:33:56, 50 ms (1%), 1220043 occupied, 23779899 free Eliminate q27 from e_640 and e_92. e_92: 0=(5*q27 - 7*q4)*p7*p6 is replaced by e_677: 0=p6*p7*q4 e_677 is a consequence of e_583. Step 1560: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q23 from e_435 and e_685. e_435: 0=2*p3*q23 + p6*q4 is replaced by e_483: 0=p6*q4 e_590,e_327,e_88,e_583 are consequences of e_483 Step 1561: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1562: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1563: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_645 is a consequence of e_483. Step 1564: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1565: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_687 is a consequence of e_692. Step 1566: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_680 is a consequence of e_692. Step 1567: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1568: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1569: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_674 is a consequence of e_671. Step 1570: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1571: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1572: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1573: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1574: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1575: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1576: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1577: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1578: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_696 is a consequence of e_483. Step 1579: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_646 is a consequence of e_483. Step 1580: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1581: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1582: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1583: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_635 is a consequence of e_675. Step 1584: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1585: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1586: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1587: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1588: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1589: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1590: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1591: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1592: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_605 is a consequence of e_483. Step 1593: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1594: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_662 is a consequence of e_483. Step 1595: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_670 is a consequence of e_483. Step 1596: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1597: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_682 is a consequence of e_640. Step 1598: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_447 is a consequence of e_640. Step 1599: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_672 is a consequence of e_640. Step 1600: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_216 is a consequence of e_640. Step 1601: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_676 is a consequence of e_640. Step 1602: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_208 is a consequence of e_547 Step 1603: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1604: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1605: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1606: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1607: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_170 is a consequence of e_640. Step 1608: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1609: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_693 is a consequence of e_640. Step 1610: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_650,e_640 are consequences of e_145 Step 1611: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_689 is a consequence of e_483. Step 1612: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_508 is a consequence of e_483. Step 1613: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term e_695 is a consequence of e_483. Step 1614: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_253 is a consequence of e_483. Step 1615: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_696 is a consequence of e_483. Step 1616: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 2 terms e_644 is a consequence of e_483. Step 1617: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_145 and e_293. e_293: 0=(2*q27 + q4)*p6 is replaced by e_646: 0=p6*q4 e_646 is a consequence of e_483. Step 1618: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_145 and e_685. e_685: 0=(3*q27 - 2*q28)*p6 is replaced by e_648: 0=p6*q28 e_648 is a consequence of e_547. Step 1619: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_145 and e_325. e_325: 0=(q27 + q4)*p6 is replaced by e_263: 0=p6*q4 e_263 is a consequence of e_483. Step 1620: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 838 2-Oct-2003 13:33:59, 50 ms (1%), 1196176 occupied, 23803768 free Eliminate q27 from e_145 and e_680. e_680: 0=(10*q27 - q28 + 6*q4)*p6 is replaced by e_679: 0=(q28 - 6*q4)*p6 Step 1621: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_547 and e_679. e_679: 0=(q28 - 6*q4)*p6 is replaced by e_620: 0=p6*q4 e_620 is a consequence of e_483. Step 1622: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_145 and e_641. e_641: 0=(q27 + q28 + q4)*p6 is replaced by e_610: 0=(q28 + q4)*p6 Step 1623: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_547 and e_610. e_610: 0=(q28 + q4)*p6 is replaced by e_509: 0=p6*q4 e_509 is a consequence of e_483. Step 1624: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_145 and e_694. e_694: (#) 3 terms, 4 factors, with derivatives of functions of all variables: (q28,q27,q4,p6) is replaced by e_611: 0=(4*q28 + 5*q4)*p6 Step 1625: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_547 and e_611. e_611: 0=(4*q28 + 5*q4)*p6 is replaced by e_586: 0=p6*q4 e_586 is a consequence of e_483. Step 1626: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_230 and e_657. e_230: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q38,q28,q27,p7,p3,p9) is replaced by e_314: 0=(2*q27 - q28)*p7*p3 Step 1627: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q28 from e_314 and e_657. e_657: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q38,q28,q27,p7,p3,p9) is replaced by e_668: 0=p3*q38 Step 1628: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1629: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_519 and e_366. e_366: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q28,q27,q4,p7,p3,p1) is replaced by e_677: 0=(2*q27 - q28)*p7*p3 e_677 is a consequence of e_314. Step 1630: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q6 from e_621 and e_592. e_592: 4 terms, 12 factors, with derivatives of functions of all variables: (q6,q4,p7,p5,p1,p9) is replaced by e_141: (#) 3 terms, 7 factors, with derivatives of functions of all variables: (q4,p7,p5,p1,p9) Step 1631: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q6 from e_621 and e_630. e_630: 3 terms, 9 factors, with derivatives of functions of all variables: (q28,q6,q4,p7,p5,p1,p9) is replaced by e_88: 3 terms, 9 factors, with derivatives of functions of all variables: (q28,q4,p7,p5,p1,p9) Step 1632: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 839 2-Oct-2003 13:34:03, 50 ms (1%), 1195384 occupied, 23804562 free Eliminate q38 from e_658 and e_632. e_632: 9 terms, 27 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q6,q4,p7,p5,p3,p9 ,p9) is replaced by e_355: 7 terms, 21 factors, with derivatives of functions of all variables: 2 (q28,q6,q4,p7,p5,p3,p9 ,p9) Step 1633: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q38 from e_658 and e_235. e_235: 13 terms, 39 factors, with derivatives of functions of all variables: 2 (q38,q28,q27,q15,q4,p7,p5,p3,p1,p9 ,p9) is replaced by e_691: 12 terms, 36 factors, with derivatives of functions of all variables: 2 (q28,q27,q15,q4,p7,p5,p3,p1,p9 ,p9) Step 1634: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : *** Garbage collection starting *** GC 840 2-Oct-2003 13:34:08, 50 ms (1%), 1195275 occupied, 23804670 free --- Factorization to subcases leading to substitutions : factorizing e_665 we get the alternative equations : 0=p7 0=q38 New level : 1.1.2.1.1. CRACK is now called with the new equation e_693 : 0=p7 e_356,e_323,e_266,e_439,e_372,e_40,e_314,e_519,e_308,e_183,e_426,e_400 are consequences of e_693 Step 1635: Hot list of urgent steps : The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: g0074*p10 + g0075*p9 The list of inequalities got extended by: An expression with 36 terms The list of inequalities got extended by: An expression with 50 terms e_416,e_568,e_613,e_143,e_438,e_692 are consequences of e_652 e_689 is a consequence of e_640. e_686 is a consequence of e_640.e_246 is a consequence of e_695 Substitution of p7 found in e_693 : p7=0 Step 1636: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 27 terms The list of inequalities got extended by: An expression with 29 terms The list of inequalities got extended by: An expression with 36 terms Substitution of q23 found in e_652 : q23=0 Step 1637: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 15 terms The list of inequalities got extended by: An expression with 11 terms The list of inequalities got extended by: An expression with 23 terms e_685 is a consequence of e_483. e_648 is a consequence of e_352. e_71 is a consequence of e_640.e_671 is a consequence of e_590 e_700 is a consequence of e_701. Substitution of q28 by an expression in q4 found in e_695 : q28= - q4 Step 1638: Hot list 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 22 terms e_646 is a consequence of e_601. Substitution of q6 found in e_590 : q6=0 Step 1639: Hot list 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_647 is a consequence of e_650. e_353 is a consequence of e_483. e_679 is a consequence of e_640. e_620 is a consequence of e_352. Substitution of q38 by an expression in q4 found in e_601 : q38= - q4 Step 1640: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : The list of inequalities got extended by: An expression with 23 terms e_653 is a consequence of e_352. Substitution of q15 by an expression in q4, p5, p1, p9 found in e_571 : - p1*q4 - p5*q4 q15=------------------ p9 Step 1641: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1642: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1643: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1644: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1645: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1646: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1647: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1648: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : shortening by 1 term Step 1649: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_481 and e_327. e_327: 0=(q27 + 4*q4)*p1 is replaced by e_662: 0=p1*q4 e_662 is a consequence of e_640. Step 1650: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_481 and e_701. e_701: 0=(q27 + q4)*p1 is replaced by e_584: 0=p1*q4 e_584 is a consequence of e_640. Step 1651: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q27 from e_481 and e_696. e_696: 0=(q27 - 3*q4)*p1 is replaced by e_670: 0=p1*q4 e_670 is a consequence of e_640. Step 1652: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : Eliminate q4 from e_650 and e_508. e_508: 0=(q27 - 4*q4)*p4 is replaced by e_649: 0=p4*q27 Step 1653: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : factorizing e_640 we get the alternative equations : 0=q4 0=p1 New level : 1.1.2.1.1.1. CRACK is now called with the new equation e_684 : 0=q4 e_641,e_253,e_255,e_220,e_352,e_483,e_650,e_644,e_85 are consequences of e_684 Step 1654: Hot list of urgent steps : The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 9 terms The list of inequalities got extended by: An expression with 11 terms Substitution of q4 found in e_684 : q4=0 Step 1655: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : --- Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : --- Algebraic length reduction of equations : --- Length reducing decoupling steps : --- Factorization to subcases leading to substitutions : *** Garbage collection starting *** GC 841 2-Oct-2003 13:34:13, 50 ms (1%), 1189394 occupied, 23810555 free factorizing e_474 we get the alternative equations : 0=q41 0=p1 New level : 1.1.2.1.1.1.1. CRACK is now called with the new equation e_170 : 0=q41 e_488,e_1,e_561,e_384,e_585,e_654 are consequences of e_170 Step 1656: Hot list of urgent steps : The list of inequalities got extended by: An expression with 8 terms q27 The list of inequalities got extended by: An expression with 10 terms Substitution of q41 found in e_170 : q41=0 Step 1657: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 5 terms The list of inequalities got extended by: An expression with 5 terms Substitution of p10 found in e_275 : p10=0 Step 1658: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: 2*g0034*p3 + 3*g0051*p5 Substitution of p6 found in e_145 : p6=0 Step 1659: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0024*p5 + g0025*p4 + g0026*p3 Substitution of p1 found in e_481 : p1=0 Step 1660: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: g0024*p5 + g0026*p3 Substitution of p4 found in e_649 : p4=0 Step 1661: Hot list of urgent steps : --- Substitution of <=2 terms, only fcts. of less vars., no cases : The list of inequalities got extended by: An expression with 4 terms The list of inequalities got extended by: p3 The list of inequalities got extended by: p5 Substitution of p5 by an expression in p3 found in e_475 : p5=2*p3 >>>>>>>>> Solution of level 1.1.2.1.1.1.1. : no equations Non-vanishing expressions: p5,p3,p9,q27 2 g0010*p9*q27 + 2*g0018*p3*q27 + g0021*p9 + 2*g0022*p3*p9 functions : q46=0 q45=0 q44=0 q43=0 q42=0 q41=0 q40=0 q39=0 q38=0 q37=0 q36=0 q35=0 q34=0 q33=0 q32=0 q31=0 q30=0 q29=0 q28=0 q27, q26=0 q25=0 q24=0 q23=0 q22=0 q21=0 2 ---*p3*q27 3 q20=------------ p9 q19=0 q18=0 q17=0 q16=0 q15=0 q14=0 q13=0 q12=0 q11=0 q10=0 q9=0 q8=0 q7=0 q6=0 q5=0 q4=0 2*p3*q27 q3=---------- p9 q2=0 q1=0 p10=0 p9, p8=0 p7=0 p6=0 p5=2*p3 p4=0 p3, p2=0 p1=0 with 59 terms no equations 3 constants : p3,p9,q27 The system: 

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

                               2
b(2) =2*Db(1) *Db(1)*p3 + b(1)  *p3
    t        x                x
The symmetry: 
b(1) =Db(2)*Db(1)*b(1) *q27
    s                 x

                                      2       3
       2*Db(1) *Db(1)*b(1) *p3*q27 + ---*b(1)  *p3*q27
              x           x           3      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)=2*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))*df(b(1),x)*q27$

df(b(2),s)=(2*d(1,df(b(1),x))*d(1,b(1))*df(b(1),x)*p3*q27 + 2/3*df(b(1),x)**3*p3
*q27)/p9$

Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

q41

The lexicographical ordering of unknowns is changed
because q41 has to be non-zero, giving q41 a low priority.
Old ordering: q41,q27,p10,p6,p5,p4,p3,p1,p9
New ordering: q27,q41,p10,p6,p5,p4,p3,p1,p9

New level : 1.1.2.1.1.1.2.
CRACK is now called with the new equation e_170 : 
0=p1

e_481 is a consequence of e_170

Step 1662: 
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 8 terms

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

e_626 is a consequence of e_654.
Substitution of p1 found in e_170 : 
p1=0


Step 1663: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0023*p6 + g0024*p5 + g0026*p3


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

Substitution of p4 found in e_1 : 
p4=0


Step 1664: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 

g0023*p6 + g0026*p3


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

q27


e_688 is a consequence of e_654.
Substitution of p5 found in e_561 : 
p5=0


Step 1665: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 

p3


The list of inequalities got extended by: 

4*g0034*p3 + 3*g0044*p10


Substitution of p6 found in e_384 : 
p6=0


Step 1666: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0059*q41 + g0073*q27


The list of inequalities got extended by: 

g0010*q27 + g0021*p9


Substitution of p10 found in e_585 : 
p10=0


Step 1667: 
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: 10 ms

The list of inequalities got extended by: 

q4


New level : 1.1.2.1.1.2.
CRACK is now called with the new equation e_684 : 
0=p1

e_474,e_481 are consequences of e_684

Step 1668: 
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 13 terms

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

e_170 is a consequence of e_644.e_561 is a consequence of e_170

e_626 is a consequence of e_644.
e_524 is a consequence of e_85.e_654 is a consequence of e_524

e_688 is a consequence of e_85.
Substitution of p1 found in e_684 : 
p1=0


Step 1669: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

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

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

Substitution of p10 found in e_352 : 
p10=0


Step 1670: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0025*p4 + g0026*p3


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 p6 found in e_483 : 
p6=0


Step 1671: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0026*p3


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

Substitution of p4 found in e_650 : 
p4=0


Step 1672: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

The list of inequalities got extended by: 

p3


The list of inequalities got extended by: 

p5


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

Substitution of p5 found in e_644 : 
p5=0


leads to a contradiction in : 
0=p3 + p5


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q41,q38,q28,q27,q23,q15,q6,q4,p10,p7,p6,p5,p4,p3,p1,p9
New ordering: q41,q38,q28,q27,q23,q15,q6,q4,p10,p6,p5,p4,p3,p1,p7,p9

New level : 1.1.2.1.2.
CRACK is now called with the new equation e_693 : 
0=q38

e_486,e_432,e_367,e_623,e_668 are consequences of e_693

Step 1673: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 58 terms
e_271 is a consequence of e_652

Substitution of q38 found in e_693 : 
q38=0


Step 1674: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 66 terms

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

e_590 is a consequence of e_652.
Substitution of q41 found in e_183 : 
q41=0


Step 1675: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 41 terms

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

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

Substitution of q23 found in e_426 : 
q23=0


Step 1676: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 49 terms

Substitution of q15 found in e_400 : 
q15=0


Step 1677: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 45 terms

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

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

e_547 is a consequence of e_145.
e_700 is a consequence of e_275.
e_701 is a consequence of e_323.
Substitution of q28 by an expression in 
q27, p7, p9 found in e_356 : 
     p7*q27
q28=--------
       p9


Step 1678: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

q4


The list of inequalities got extended by: 

q27

The lexicographical ordering of unknowns is changed
because q27 has to be non-zero, giving q27 a low priority.
Old ordering: q27,q6,q4,p10,p6,p5,p4,p3,p1,p7,p9
New ordering: q6,q27,q4,p10,p6,p5,p4,p3,p1,p7,p9

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

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

Substitution of q27 by an expression in 
q4, p7, p9 found in e_323 : 
      - p9*q4
q27=----------
        p7


Step 1679: 
Hot list 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 24 terms

The list of inequalities got extended by: 
An expression with 28 terms
e_671 is a consequence of e_680
e_314 is a consequence of e_40

e_372 is a consequence of e_40.
e_85 is a consequence of e_40.
e_141 is a consequence of e_263.
e_495 is a consequence of e_263.
e_620 is a consequence of e_680.
Substitution of p1 found in e_519 : 
p1=0


Step 1680: 
Hot list 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: 

g0075*p9 + g0077*p7


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

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

Substitution of p10 found in e_352 : 
p10=0


Step 1681: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0025*p4 + g0026*p3


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

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

Substitution of p6 found in e_483 : 
p6=0


Step 1682: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0026*p3


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

Substitution of p4 found in e_652 : 
p4=0


Step 1683: 
Hot list 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: 

p3


The list of inequalities got extended by: 

p5


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

Substitution of p5 found in e_263 : 
p5=0


leads to a contradiction in : 
0=2*p3 + p5


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 50 ms

The list of inequalities got extended by: 

q14

The lexicographical ordering of unknowns is changed
because q14 has to be non-zero, giving q14 a low priority.
Old ordering: q41,q38,q28,q27,q23,q22,q20,q15,q14,q9,q6,q4,q3,p10,p7,p6,p5,p4,p3
,p1,p9
New ordering: q41,q38,q28,q27,q23,q22,q20,q15,q9,q6,q4,q3,q14,p10,p7,p6,p5,p4,p3
,p1,p9

New level : 1.1.2.2.
CRACK is now called with the new equation e_684 : 
0=p6

e_88,e_384,e_568 are consequences of e_684

Step 1684: 
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 56 terms

The list of inequalities got extended by: 
An expression with 54 terms
e_300 is a consequence of e_613

Substitution of p6 found in e_684 : 
p6=0


Step 1685: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

The list of inequalities got extended by: 

g0075*p9 + g0077*p7


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

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

Substitution of p10 found in e_615 : 
p10=0


Step 1686: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 35 terms

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

Substitution of q22 by an expression in 
q23, q14, p5, p1, p9 found in e_588 : 8 factors in 4 terms

Step 1687: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 842  2-Oct-2003 13:34:16, 50 ms (1%), 1116600 occupied, 23883352 free
Eliminate 
p7

from e_143 and e_614. e_614: 

0=q23*(13*p7 + 7*p9)*p5

is replaced by e_631: 

0=p5*q23


Step 1688: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1689: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1690: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1691: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1692: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1693: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 38 terms

Substitution of q9 by an expression in 
q23, q14, p5, p3, p1, p9 found in e_668 : 11 factors in 5 terms

Step 1694: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1695: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1696: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1697: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1698: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1699: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1700: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1701: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1702: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1703: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1704: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1705: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1706: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1707: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1708: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1709: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1710: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1711: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1712: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1713: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1714: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1717: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1718: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1719: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1720: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1721: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1722: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1723: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1724: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1725: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1726: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1727: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1728: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1729: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1730: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1731: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1732: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1733: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1734: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1735: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1736: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1737: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1738: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1739: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1740: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1741: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1742: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1743: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1744: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1745: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1746: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1747: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1748: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1749: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1750: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1751: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1752: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1753: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1754: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1755: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1756: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1757: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 30 terms

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

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

e_632 is a consequence of e_631.
e_621 is a consequence of e_613.
e_621 is a consequence of e_561.
e_621 is a consequence of e_183.
e_367 is a consequence of e_613.
e_483 is a consequence of e_613.
e_672 is a consequence of e_613.
Substitution of p1 by an expression in 
p7, p5, p9 found in e_131 : 
        1
     - ---*p5*p7
        8
p1=--------------
         p9


Step 1758: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1759: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1760: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1761: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1762: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1763: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1764: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1765: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1766: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 843  2-Oct-2003 13:34:20, 40 ms (1%), 1113656 occupied, 23886296 free
Eliminate 
p7

from e_613 and e_143. e_143: 

0=(2*p7 + p9)*p5

is replaced by e_639: 

0=p5

e_675,e_583,e_508,e_339,e_688,e_384,e_137,e_561,e_631,e_613 are consequences of 
e_639

Step 1767: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 

g0025*p4 + g0026*p3


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

e_677 is a consequence of e_674.
e_680 is a consequence of e_674.
e_109 is a consequence of e_626.
e_634 is a consequence of e_626.
e_574 is a consequence of e_626.
e_586 is a consequence of e_626.
e_586 is a consequence of e_279.
e_654 is a consequence of e_626.
e_654 is a consequence of e_279.e_674 is a consequence of e_681

e_345 is a consequence of e_681.
e_687 is a consequence of e_300.
e_601 is a consequence of e_300.
e_475 is a consequence of e_300.
e_88 is a consequence of e_300.
Substitution of p5 found in e_639 : 
p5=0


Step 1768: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 23 terms
e_607,e_40 are consequences of e_589

Substitution of q6 by an expression in 
q14, p4, p9 found in e_383 : 
    12*p4*q14
q6=-----------
       p9


Step 1769: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

Substitution of q15 by an expression in 
q4, q14, p4, p3, p9 found in e_610 : 8 factors in 3 terms

Step 1770: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

Substitution of q20 by an expression in 
q28, q27, q3, q14, p4, p3, p9 found in e_295 : 17 factors in 5 terms

Step 1771: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_685,e_686,e_300,e_263,e_235,e_314,e_620,e_684,e_524,e_447,e_275,e_416,e_495,
e_353,e_682,e_568,e_626,e_689,e_681 are consequences of e_588

Step 1772: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p4

The lexicographical ordering of unknowns is changed
because p4 has to be non-zero, giving p4 a low priority.
Old ordering: q41,q38,q28,q27,q23,q4,q3,q14,p7,p4,p3,p9
New ordering: q41,q38,q28,q27,q23,q4,q3,q14,p7,p3,p4,p9

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q41,q38,q28,q27,q23,q4,q3,q14,p7,p3,p4,p9
New ordering: q41,q38,q28,q27,q23,q4,q3,q14,p3,p7,p4,p9

The list of inequalities got extended by: 

q23

The lexicographical ordering of unknowns is changed
because q23 has to be non-zero, giving q23 a low priority.
Old ordering: q41,q38,q28,q27,q23,q4,q3,q14,p3,p7,p4,p9
New ordering: q41,q38,q28,q27,q4,q3,q23,q14,p3,p7,p4,p9

The list of inequalities got extended by: 

p3


q28

The lexicographical ordering of unknowns is changed
because q28 has to be non-zero, giving q28 a low priority.
Old ordering: q41,q38,q28,q27,q4,q3,q23,q14,p3,p7,p4,p9
New ordering: q41,q38,q27,q4,q3,q28,q23,q14,p3,p7,p4,p9

The list of inequalities got extended by: 

q4

The lexicographical ordering of unknowns is changed
because q4 has to be non-zero, giving q4 a low priority.
Old ordering: q41,q38,q27,q4,q3,q28,q23,q14,p3,p7,p4,p9
New ordering: q41,q38,q27,q3,q4,q28,q23,q14,p3,p7,p4,p9

The list of inequalities got extended by: 

q38

The lexicographical ordering of unknowns is changed
because q38 has to be non-zero, giving q38 a low priority.
Old ordering: q41,q38,q27,q3,q4,q28,q23,q14,p3,p7,p4,p9
New ordering: q41,q27,q3,q38,q4,q28,q23,q14,p3,p7,p4,p9

The list of inequalities got extended by: 

q27

The lexicographical ordering of unknowns is changed
because q27 has to be non-zero, giving q27 a low priority.
Old ordering: q41,q27,q3,q38,q4,q28,q23,q14,p3,p7,p4,p9
New ordering: q41,q3,q27,q38,q4,q28,q23,q14,p3,p7,p4,p9

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

Substitution of p3 found in e_588 : 
p3=0


leads to a contradiction in : 
0=p3*q28 + 6*p4*q14


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: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,
q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,
q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8,p7,p6,p5,p4,p3,p1
New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,
q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,
q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p7,p6,p5,p4,p3,p1,p8

New level : 1.2.
CRACK is now called with the new equation e_337 : 
0=q34


Step 1773: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 19 terms

e_338 is a consequence of e_374.
e_416 is a consequence of e_58.
e_109 is a consequence of e_374.
Substitution of q34 found in e_337 : 
q34=0


Step 1774: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

e_389 is a consequence of e_272.
e_307 is a consequence of e_272.
Substitution of q21 found in e_276 : 
q21=0


Step 1775: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

Substitution of q43 found in e_374 : 
q43=0


Step 1776: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 24 terms
e_244 is a consequence of e_280

Substitution of q16 found in e_375 : 
q16=0


Step 1777: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms
e_485 is a consequence of e_299
e_516 is a consequence of e_303

e_104 is a consequence of e_280.
e_387 is a consequence of e_282.
Substitution of q39 found in e_272 : 
q39=0


Step 1778: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

Substitution of q32 found in e_273 : 
q32=0


Step 1779: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

e_317 is a consequence of e_74.
Substitution of q45 found in e_58 : 
q45=0


Step 1780: 
Hot list 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
*** Garbage collection starting 
*** GC 844  2-Oct-2003 13:34:23, 50 ms (1%), 1140359 occupied, 23859592 free

Substitution of q35 found in e_74 : 
q35=0


Step 1781: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

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

e_402 is a consequence of e_299.
Substitution of q5 found in e_280 : 
q5=0


Step 1782: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

e_397 is a consequence of e_303.e_369 is a consequence of e_16
e_364,e_282 are consequences of e_410

Substitution of q17 found in e_299 : 
q17=0


Step 1783: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

Substitution of q13 found in e_303 : 
q13=0


Step 1784: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

Substitution of q14 found in e_132 : 
q14=0


Step 1785: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

e_287 is a consequence of e_410.
Substitution of q1 found in e_16 : 
q1=0


Step 1786: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

Substitution of q18 found in e_410 : 
q18=0


Step 1787: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

Substitution of q44 by an expression in 
q29, p10, p8 found in e_59 : 
      - p10*q29
q44=------------
         p8


Step 1788: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

e_41 is a consequence of e_398.
Substitution of q46 by an expression in 
q8, p10, p8 found in e_399 : 
      - p10*q8
q46=-----------
        p8


Step 1789: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

Substitution of q26 by an expression in 
q8, p6, p8 found in e_398 : 
      - p6*q8
q26=----------
        p8


Step 1790: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

Substitution of q19 by an expression in 
q41, p1, p8 found in e_414 : 
     4*p1*q41
q19=----------
        p8


Step 1791: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

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

e_128 is a consequence of e_300.
Substitution of q2 by an expression in 
q29, p9, p8 found in e_81 : 7 factors in 3 terms

Step 1792: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

e_472 is a consequence of e_422.
e_364 is a consequence of e_422.
Substitution of q24 by an expression in 
q29, q8, p6, p5, p8 found in e_396 : 8 factors in 3 terms

Step 1793: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

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

e_395 is a consequence of e_422.
Substitution of q42 by an expression in 
q29, q8, p10, p9, p8 found in e_328 : 
     p10*q29 - p9*q8
q42=-----------------
           p8


Step 1794: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms
*** Garbage collection starting 
*** GC 845  2-Oct-2003 13:34:26, 50 ms (1%), 1179847 occupied, 23820103 free

Substitution of q33 by an expression in 
q40, q8, p10, p8 found in e_492 : 7 factors in 3 terms

Step 1795: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

e_367 is a consequence of e_421.
Substitution of q31 by an expression in 
q37, q8, p10, p7, p8 found in e_496 : 
     p10*q37 - p7*q8
q31=-----------------
           p8


Step 1796: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

e_474 is a consequence of e_471.
e_481 is a consequence of e_478.
Substitution of q22 by an expression in 
q29, q8, p6, p5, p8 found in e_422 : 
      - p5*q8 + p6*q29
q22=-------------------
            p8


Step 1797: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

Substitution of q28 by an expression in 
q37, q29, p9, p7, p8 found in e_408 : 7 factors in 3 terms

Step 1798: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

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

Substitution of q6 by an expression in 
q37, q29, p5, p1, p8 found in e_425 : 
    p1*q29 + p5*q37
q6=-----------------
          p8


Step 1799: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

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

e_16 is a consequence of e_421.
Substitution of q30 by an expression in 
q37, q29, p9, p7, p8 found in e_431 : 
     p7*q29 + p9*q37
q30=-----------------
           p8


Step 1800: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q7 by an expression in 
q37, q8, p6, p1, p8 found in e_421 : 
     - p1*q8 + p6*q37
q7=-------------------
           p8


Step 1801: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

e_409 is a consequence of e_445.
Substitution of q36 by an expression in 
q41, q37, p10, p7, p8 found in e_429 : 7 factors in 3 terms

Step 1802: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

Substitution of q38 by an expression in 
q40, q37, p7, p8 found in e_443 : 7 factors in 3 terms

Step 1803: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

e_420 is a consequence of e_460.
*** Garbage collection starting 
*** GC 846  2-Oct-2003 13:34:30, 50 ms (1%), 1181361 occupied, 23818586 free

Substitution of q11 by an expression in 
q40, q9, q8, p6, p3, p8 found in e_442 : 14 factors in 4 terms

Step 1804: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

Substitution of q12 by an expression in 
q41, q37, q8, p6, p4, p1, p8 found in e_445 : 10 factors in 4 terms

Step 1805: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

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

Substitution of q27 by an expression in 
q40, q29, p9, p7, p8 found in e_54 : 11 factors in 5 terms

Step 1806: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 30 terms

Substitution of q15 by an expression in 
q41, q40, q37, q8, p6, p4, p1, p8 found in e_456 : 14 factors in 5 terms

Step 1807: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 29 terms

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

Substitution of q3 by an expression in 
q40, q29, p5, p3, p1, p8 found in e_467 : 12 factors in 5 terms

Step 1808: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 37 terms

e_406 is a consequence of e_340.
Substitution of q9 by an expression in 
q40, q37, q8, p6, p3, p1, p8 found in e_460 : 14 factors in 5 terms

Step 1809: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1810: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1811: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1812: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1813: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1814: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1815: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1816: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1817: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1818: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1819: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1820: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1821: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1822: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_310 is a consequence of e_272.
Step 1823: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_273 is a consequence of e_272.
Step 1824: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1825: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1826: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1827: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1828: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1829: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1830: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1831: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1832: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1833: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1834: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1835: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1836: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1837: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1838: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1839: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1840: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1841: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1842: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1843: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1844: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1845: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_74 is a consequence of e_566.
Step 1846: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 847  2-Oct-2003 13:34:33, 50 ms (1%), 1175863 occupied, 23824083 free
shortening by 1 term

Step 1847: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1848: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1849: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1850: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1851: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1852: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1853: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1854: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

Step 1856: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

Step 1858: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

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

Step 1863: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 848  2-Oct-2003 13:34:36, 50 ms (1%), 1261743 occupied, 23738172 free
*** Garbage collection starting 
*** GC 849  2-Oct-2003 13:34:39, 50 ms (1%), 1243608 occupied, 23756306 free
Eliminate 
q29

from e_528 and e_530. e_530: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

           2      2
 (q29,q4,p9 ,p9,p8 ,p8)

is replaced by e_82: 

0=q4

e_352,e_388 are consequences of e_82

Step 1864: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

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

Substitution of q4 found in e_82 : 
q4=0


Step 1865: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 850  2-Oct-2003 13:34:43, 60 ms (1%), 1340979 occupied, 23658931 free
Eliminate 
q29

from e_471 and e_473. e_473: 
(#) 2 terms, 5 factors, with derivatives of functions of all variables: 

 (q29,q8,p10,p9,p6)

is replaced by e_307: 

0=p6*p9*q8


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

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

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

Step 1869: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_307 and e_372. e_372: 

0=(p8*q23 + p9*q8)*p6

is replaced by e_325: 

0=p6*q23


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

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

Step 1872: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_307 and e_414. e_414: 

0=(p8*q25 + 3*p9*q8)*p6

is replaced by e_322: 

0=p6*q25


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

Step 1874: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_307 and e_81. e_81: 

0=p6*(p10*q29 - 3*p9*q8)

is replaced by e_430: 

0=p10*p6*q29


e_430 is a consequence of e_471.
Step 1875: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_471 and e_273. e_273: 

0=(3*p5*q8 + p6*q29)*p10

is replaced by e_540: 

0=p10*p5*q8


Step 1876: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_540 and e_327. e_327: 
(#) 2 terms, 5 factors, with derivatives of functions of all variables: 

 (q29,q8,p10,p6,p5)

is replaced by e_542: 

0=p10*p6*q29


e_542 is a consequence of e_471.
Step 1877: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 851  2-Oct-2003 13:34:46, 50 ms (1%), 1287463 occupied, 23712456 free
Eliminate 
q8

from e_540 and e_244. e_244: 

0=(p5*q8 - p6*q29)*p10

is replaced by e_410: 

0=p10*p6*q29


e_410 is a consequence of e_471.
Step 1878: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_407 and e_393. e_393: 
(#) 4 terms, 6 factors, with derivatives of functions of all variables: 

               2
 (q37,q29,p9,p7 ,p7,p8)

is replaced by e_544: 

0=q29*p7*(p7 + p8)


Step 1879: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 852  2-Oct-2003 13:34:49, 50 ms (1%), 1183666 occupied, 23816282 free
Eliminate 
q10

from e_12 and e_323. e_323: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q10,q8,p10,p7,p8)

is replaced by e_507: 

0=q8*(p7 - 2*p8)*p10


Step 1880: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q25

from e_370 and e_411. e_411: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

                 2
 (q29,q25,q23,p10 ,p10,p8)

is replaced by e_548: 

0=p10*(p10*q29 + 3*p8*q23)


Step 1881: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 853  2-Oct-2003 13:34:52, 60 ms (1%), 1292319 occupied, 23707594 free
Eliminate 
q37

from e_407 and e_425. e_425: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p7,p8)

is replaced by e_551: 

0=q29*(p8 - 2*p9)*p7


e_551 is a consequence of e_86.
Step 1882: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 854  2-Oct-2003 13:34:55, 50 ms (1%), 1214617 occupied, 23785308 free
*** Garbage collection starting 
*** GC 855  2-Oct-2003 13:34:59, 50 ms (1%), 1178528 occupied, 23821421 free
Eliminate 
q10

from e_12 and e_539. e_539: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

                2
 (q40,q10,q8,p10 ,p10,p7,p8)

is replaced by e_552: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

            2
 (q40,q8,p10 ,p10,p7,p8)


Step 1883: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_507 and e_552. e_552: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

            2
 (q40,q8,p10 ,p10,p7,p8)

is replaced by e_555: 

0=p10*q40

e_272 is a consequence of e_555

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

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

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

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

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

Step 1889: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_12,e_488 are consequences of e_334

Step 1890: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 36 terms

Substitution of q10 by an expression in 
q8 found in e_334 : 
q10= - q8


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Step 1923: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1924: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 37 terms

e_388 is a consequence of e_555.
Substitution of q20 by an expression in 
q40, q8, p4, p3, p8 found in e_552 : 7 factors in 3 terms

Step 1925: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1926: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_422 is a consequence of e_21

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

Step 1928: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 856  2-Oct-2003 13:35:02, 50 ms (1%), 1179045 occupied, 23820906 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1929: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1930: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1931: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1932: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

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

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

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

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

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

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

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

Step 1943: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1944: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_21 and e_526. e_21: 

0=(2*q37 + 3*q40)*p6

is replaced by e_290: 

0=p6*q37

e_374 is a consequence of e_290

Step 1945: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1946: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_15 is a consequence of e_477.
Step 1947: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_487 is a consequence of e_477.
Step 1948: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

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

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

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

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

Step 1954: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

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

Step 1959: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1960: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1961: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

Step 1963: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

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

Step 1965: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1966: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 1967: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1968: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

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

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

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

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

Step 1976: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1977: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1978: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1979: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1980: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1981: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1982: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1983: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1984: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1985: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1986: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_290 and e_526. e_526: 

0=(3*q37 + q40)*p6

is replaced by e_81: 

0=p6*q40

e_264 is a consequence of e_81

Step 1987: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1988: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1989: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1990: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1991: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1992: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

Step 1996: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 1997: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

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

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

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

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

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

Step 2003: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2004: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2005: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_312 is a consequence of e_427.
Step 2006: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2007: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 857  2-Oct-2003 13:35:05, 60 ms (1%), 1290999 occupied, 23708924 free
*** Garbage collection starting 
*** GC 858  2-Oct-2003 13:35:09, 50 ms (1%), 1219202 occupied, 23780730 free
Eliminate 
q40

from e_504 and e_136. e_136: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                2      2
 (q40,q37,q29,p9 ,p9,p7 ,p7)

is replaced by e_56: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2      2
 (q37,q29,p9 ,p9,p7 ,p7)


Step 2008: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 859  2-Oct-2003 13:35:12, 60 ms (1%), 1267807 occupied, 23732124 free
*** Garbage collection starting 
*** GC 860  2-Oct-2003 13:35:15, 50 ms (1%), 1196631 occupied, 23803317 free
Eliminate 
q37

from e_466 and e_272. e_272: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q41,q40,q37,p6,p3,p1)

is replaced by e_383: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q41,q40,p6,p3,p1)


Step 2009: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_473 and e_372. e_372: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q41,q8,p7,p6,p4,p8)

is replaced by e_310: 

0=p4*q8


Step 2010: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2011: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2012: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2013: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2014: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2015: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2016: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2017: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2018: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2019: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2020: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2021: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2022: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2023: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2024: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2025: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2026: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2027: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2028: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2029: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2030: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2031: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2032: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2033: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 861  2-Oct-2003 13:35:19, 60 ms (1%), 1222140 occupied, 23777788 free
*** Garbage collection starting 
*** GC 862  2-Oct-2003 13:35:22, 50 ms (1%), 1277954 occupied, 23721967 free
*** Garbage collection starting 
*** GC 863  2-Oct-2003 13:35:26, 50 ms (1%), 1176838 occupied, 23823112 free
*** Garbage collection starting 
*** GC 864  2-Oct-2003 13:35:30, 50 ms (1%), 1249467 occupied, 23750457 free
*** Garbage collection starting 
*** GC 865  2-Oct-2003 13:35:33, 60 ms (1%), 1310696 occupied, 23689215 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_290 we get the alternative equations : 
0=p6


0=q37


New level : 1.2.1.
CRACK is now called with the new equation e_691 : 
0=p6

e_319,e_286,e_499,e_473,e_471,e_307,e_325,e_322,e_81 are consequences of e_691

Step 2034: 
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 26 terms

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

e_280 is a consequence of e_336.
Substitution of p6 found in e_691 : 
p6=0


Step 2035: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2036: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2037: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2038: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2039: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2040: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 866  2-Oct-2003 13:35:36, 60 ms (1%), 1239860 occupied, 23760059 free
Eliminate 
q29

from e_516 and e_547. e_547: 

0=p4*(p10*q29 - p8*q23)

is replaced by e_588: 

0=p4*q23


Step 2041: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_590 is a consequence of e_579.
Step 2042: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2043: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2044: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2045: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2046: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2047: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 867  2-Oct-2003 13:35:40, 50 ms (1%), 1231786 occupied, 23768128 free
Eliminate 
q40

from e_504 and e_374. e_374: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q40,q37,p7,p1,p8)

is replaced by e_596: 

0=q37*(4*p7 + p8)*p1


Step 2048: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q23

from e_564 and e_502. e_564: 

0=(p8*q23 + p9*q8)*p1

is replaced by e_598: 

0=p1*p9*q8


Step 2049: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2050: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2051: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2052: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2053: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2054: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2055: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2056: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2057: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2058: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2059: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2060: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2061: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2062: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2063: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q8

from e_598 and e_502. e_502: 

0=(p8*q23 - 9*p9*q8)*p1

is replaced by e_621: 

0=p1*q23


Step 2064: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2065: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2066: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_629 is a consequence of e_553.
Step 2067: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2068: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2069: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2070: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_635 is a consequence of e_632.
Step 2071: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_394 and e_603. e_603: 
 2 terms, 6 factors, with derivatives of functions of all variables: 

 (q29,q8,p10,p7,p5,p1)

is replaced by e_636: 

0=p5*p7*q8


Step 2072: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2073: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2074: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2075: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2076: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2077: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2078: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2079: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 868  2-Oct-2003 13:35:44, 60 ms (1%), 1187827 occupied, 23812113 free
shortening by 1 term

Step 2080: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_651 is a consequence of e_394.
Step 2081: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2082: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2083: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2084: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2085: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2086: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2087: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2088: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2089: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_504 and e_337. e_337: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q40,q37,p7,p3,p1,p8)

is replaced by e_660: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q37,p7,p3,p1,p8)


Step 2090: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 869  2-Oct-2003 13:35:48, 50 ms (1%), 1195796 occupied, 23804146 free
Eliminate 
q40

from e_504 and e_184. e_184: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

                2
 (q40,q37,q29,p9 ,p9,p7,p8)

is replaced by e_662: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2
 (q37,q29,p9 ,p9,p7,p8)


Step 2091: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 870  2-Oct-2003 13:35:53, 50 ms (1%), 1206961 occupied, 23792977 free
*** Garbage collection starting 
*** GC 871  2-Oct-2003 13:35:57, 50 ms (1%), 1197970 occupied, 23801972 free
*** Garbage collection starting 
*** GC 872  2-Oct-2003 13:36:01, 50 ms (1%), 1194524 occupied, 23805418 free
Eliminate 
q40

from e_543 and e_505. e_543: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q40,q37,p7,p3,p1,p8)

is replaced by e_665: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q37,p7,p3,p1,p8)


Step 2092: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_662 and e_56. e_56: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

            2      2
 (q37,q29,p9 ,p9,p7 ,p7)

is replaced by e_667: 

0=q29*p7*(p7 - p8 + 4*p9)


Step 2093: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 873  2-Oct-2003 13:36:05, 60 ms (1%), 1251632 occupied, 23748282 free
*** Garbage collection starting 
*** GC 874  2-Oct-2003 13:36:10, 50 ms (1%), 1218576 occupied, 23781365 free
*** Garbage collection starting 
*** GC 875  2-Oct-2003 13:36:14, 60 ms (1%), 1205044 occupied, 23794895 free
Eliminate 
q37

from e_423 and e_397. e_397: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p5,p3,p1,p8)

is replaced by e_669: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q29,p9,p5,p3,p1,p8)


Step 2094: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 876  2-Oct-2003 13:36:18, 50 ms (1%), 1187815 occupied, 23812128 free
*** Garbage collection starting 
*** GC 877  2-Oct-2003 13:36:23, 50 ms (1%), 1189448 occupied, 23810495 free
*** Garbage collection starting 
*** GC 878  2-Oct-2003 13:36:27, 60 ms (1%), 1217379 occupied, 23782542 free
*** Garbage collection starting 
*** GC 879  2-Oct-2003 13:36:32, 50 ms (1%), 1254719 occupied, 23745187 free
*** Garbage collection starting 
*** GC 880  2-Oct-2003 13:36:36, 60 ms (1%), 1252484 occupied, 23747425 free
*** Garbage collection starting 
*** GC 881  2-Oct-2003 13:36:41, 50 ms (1%), 1255558 occupied, 23744357 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_340 we get the alternative equations : 
0=p10


0=q37


New level : 1.2.1.1.
CRACK is now called with the new equation e_733 : 
0=p10

e_470,e_548,e_330,e_125,e_300,e_170,e_317,e_507,e_314,e_467,e_456,e_365,e_551,
e_104,e_370,e_540,e_336,e_394,e_516,e_555,e_569 are consequences of e_733

Step 2095: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 

g0075*p9 + g0076*p8 + g0077*p7


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

e_522 is a consequence of e_280.e_312,e_136,e_453,e_636 are consequences of 
e_212
e_638,e_280 are consequences of e_389

e_109 is a consequence of e_421.
Substitution of p10 found in e_733 : 
p10=0


Step 2096: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

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

e_386 is a consequence of e_691.
e_491 is a consequence of e_395.
Substitution of q25 found in e_389 : 
q25=0


Step 2097: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

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

e_573 is a consequence of e_598.
e_574 is a consequence of e_310.
e_575 is a consequence of e_395.
e_576 is a consequence of e_212.
Substitution of q23 by an expression in 
q8, p9, p8 found in e_512 : 9 factors in 3 terms

Step 2098: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_581 is a consequence of e_395.
Step 2099: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_430 is a consequence of e_395.
Step 2100: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_583 is a consequence of e_395.
Step 2101: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_584 is a consequence of e_395.
Step 2102: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_272 is a consequence of e_395.
Step 2103: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_556 is a consequence of e_395.
Step 2104: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_393 is a consequence of e_395.
Step 2105: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_547 is a consequence of e_395.
Step 2106: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 882  2-Oct-2003 13:36:44, 50 ms (1%), 1201064 occupied, 23798879 free
Eliminate 
q40

from e_504 and e_462. e_462: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,p9,p7,p5,p1,p8)

is replaced by e_589: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p7,p5,p1,p8)


Step 2107: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_493 and e_443. e_493: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q41,q29,p9,p7,p5,p4,p1,p8)

is replaced by e_472: 

0=q29*(3*p7 + p8)*p4


Step 2108: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 883  2-Oct-2003 13:36:49, 60 ms (1%), 1204769 occupied, 23795173 free
Eliminate 
q40

from e_591 and e_592. e_592: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,p9,p7,p5,p1,p8)

is replaced by e_408: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p7,p5,p1,p8)


Step 2109: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_443 and e_447. e_447: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q41,q40,q29,p9,p7,p5,p4,p1,p8)

is replaced by e_362: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q40,q29,p9,p7,p4)


Step 2110: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 884  2-Oct-2003 13:36:55, 50 ms (1%), 1202247 occupied, 23797696 free
Eliminate 
q40

from e_460 and e_587. e_587: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,p9,p7,p5,p3,p1,p8)

is replaced by e_276: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p7,p5,p3,p1,p8)


Step 2111: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_586 and e_563. e_563: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,p9,p7,p5,p3,p1,p8)

is replaced by e_374: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q37,q29,p9,p7,p5,p3,p1,p8)


Step 2112: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 885  2-Oct-2003 13:37:01, 50 ms (1%), 1187498 occupied, 23812447 free
Eliminate 
q40

from e_504 and e_429. e_429: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q40,p7,p4,p3,p1,p8)

is replaced by e_597: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q37,p7,p4,p3,p1,p8)


Step 2113: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2114: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 886  2-Oct-2003 13:37:11, 50 ms (1%), 1190923 occupied, 23809021 free
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_212 we get the alternative equations : 
0=q8


0=p5


New level : 1.2.1.1.1.
CRACK is now called with the new equation e_502 : 
0=q8

e_244,e_287,e_331,e_388,e_58,e_521,e_421,e_416,e_445,e_74,e_691,e_320,e_255,
e_598,e_395,e_310 are consequences of e_502

Step 2115: 
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 13 terms

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

Substitution of q8 found in e_502 : 
q8=0


Step 2116: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_489 we get the alternative equations : 
0=q37


0=p4


New level : 1.2.1.1.1.1.
CRACK is now called with the new equation e_622 : 
0=q37

e_554,e_660,e_665,e_284,e_318,e_596,e_407,e_466 are consequences of e_622

Step 2117: 
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 10 terms

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

e_625 is a consequence of e_179.e_667,e_86,e_544,e_624 are consequences of e_480

e_628 is a consequence of e_480.
e_611 is a consequence of e_480.
e_629 is a consequence of e_480.
e_617 is a consequence of e_480.
Substitution of q37 found in e_622 : 
q37=0


Step 2118: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2119: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2120: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2121: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2122: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2123: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2124: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_673 is a consequence of e_671.
Step 2125: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2126: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2127: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2128: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2129: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2130: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2131: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2132: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2133: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2134: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2135: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_690 is a consequence of e_688.
Step 2136: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2137: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_613,e_688,e_290 are consequences of e_322

Step 2138: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2139: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_473 is a consequence of e_480.
Step 2140: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_499 is a consequence of e_480.
Step 2141: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2142: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2143: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2144: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2145: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2146: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2147: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2148: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2149: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2150: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2151: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2152: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2153: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2154: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2155: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_720 is a consequence of e_716.
Step 2156: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_721 is a consequence of e_705.
Step 2157: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2158: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_705 is a consequence of e_725

Step 2159: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_727 is a consequence of e_716.
e_727 is a consequence of e_179.
Step 2160: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2161: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2162: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2163: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_718 and e_707. e_707: 

0=(3*q29 - 2*q40)*p5

is replaced by e_569: 

0=p5*q29

e_307,e_728 are consequences of e_569

Step 2164: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_322 we get the alternative equations : 
0=q29


0=p1


New level : 1.2.1.1.1.1.1.
CRACK is now called with the new equation e_741 : 
0=q29

e_528,e_529,e_527,e_278,e_480,e_661,e_674,e_569 are consequences of e_741

Step 2165: 
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

The list of inequalities got extended by: 
An expression with 4 terms
e_397 is a consequence of e_522

Substitution of q29 found in e_741 : 
q29=0


Step 2166: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_725 we get the alternative equations : 
0=q40


0=p1


New level : 1.2.1.1.1.1.1.1.
CRACK is now called with the new equation e_312 : 
0=q40

e_427,e_565,e_179,e_716,e_718,e_522 are consequences of e_312

Step 2167: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

q41

The lexicographical ordering of unknowns is changed
because q41 has to be non-zero, giving q41 a low priority.
Old ordering: q41,q40,p9,p7,p5,p4,p3,p1,p8
New ordering: q40,q41,p9,p7,p5,p4,p3,p1,p8

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: q40,q41,p9,p7,p5,p4,p3,p1,p8
New ordering: q40,q41,p9,p5,p4,p3,p1,p7,p8

The list of inequalities got extended by: 

p1


The list of inequalities got extended by: 

g0021*p9 + g0022*p5


The list of inequalities got extended by: 

p3


Substitution of q40 found in e_312 : 
q40=0


Step 2168: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0076*p8 + g0077*p7


The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,p9,p5,p4,p3,p1,p7,p8
New ordering: q41,p9,p4,p5,p3,p1,p7,p8

Substitution of p9 found in e_671 : 
p9=0


Step 2169: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0026*p3 + g0027*p1


Substitution of p4 found in e_1 : 
p4=0


Step 2170: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p5=0

because of the non-vanishing expression:
p5


The list of inequalities got extended by: 

g0026*p3 + g0027*p1


Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q41,q40,p9,p7,p5,p4,p3,p1,p8
New ordering: q41,q40,p9,p5,p4,p3,p1,p7,p8

The list of inequalities got extended by: 

q40


New level : 1.2.1.1.1.1.1.2.
CRACK is now called with the new equation e_312 : 
0=p1

e_396,e_671 are consequences of e_312

Step 2171: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0024*p5 + g0025*p4 + g0026*p3


The list of inequalities got extended by: 

g0034*p3 + 2*g0051*p5


e_280 is a consequence of e_716.
e_109 is a consequence of e_716.
Substitution of p1 found in e_312 : 
p1=0


Step 2172: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p7=0

because of the non-vanishing expression:
p7


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

The list of inequalities got extended by: 

g0075*p9 + g0076*p8


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: 

q29


New level : 1.2.1.1.1.1.2.
CRACK is now called with the new equation e_741 : 
0=p1

e_396,e_671,e_725 are consequences of e_741

Step 2173: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0024*p5 + g0025*p4 + g0026*p3


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

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

e_522 is a consequence of e_716.
e_522 is a consequence of e_674.
e_453 is a consequence of e_674.
Substitution of p1 found in e_741 : 
p1=0


Step 2174: 
Hot list 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: 

g0075*p9 + g0076*p8


The list of inequalities got extended by: 
An expression with 11 terms
e_527,e_397 are consequences of e_278
e_716,e_718 are consequences of e_312
e_1,e_663 are consequences of e_280

Substitution of p7 found in e_480 : 
p7=0


Step 2175: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0026*p3


e_638 is a consequence of e_280.
e_638 is a consequence of e_674.
e_109 is a consequence of e_280.
e_109 is a consequence of e_674.
Substitution of p4 found in e_661 : 
p4=0


Step 2176: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q29,p9,p5,p3,p8
New ordering: q41,q40,q29,p9,p3,p5,p8

Substitution of p3 found in e_674 : 
p3=0


Step 2177: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p5=0

because of the non-vanishing expression:
p5

*** Garbage collection starting 
*** GC 887  2-Oct-2003 13:37:15, 40 ms (1%), 1009291 occupied, 23990659 free

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p7

The lexicographical ordering of unknowns is changed
because p7 has to be non-zero, giving p7 a low priority.
Old ordering: q41,q40,q37,q29,p9,p7,p5,p4,p3,p1,p8
New ordering: q41,q40,q37,q29,p9,p5,p4,p3,p1,p7,p8

The list of inequalities got extended by: 

q37

The lexicographical ordering of unknowns is changed
because q37 has to be non-zero, giving q37 a low priority.
Old ordering: q41,q40,q37,q29,p9,p5,p4,p3,p1,p7,p8
New ordering: q41,q40,q29,q37,p9,p5,p4,p3,p1,p7,p8

The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q41,q40,q29,q37,p9,p5,p4,p3,p1,p7,p8
New ordering: q41,q29,q40,q37,p9,p5,p4,p3,p1,p7,p8

New level : 1.2.1.1.1.2.
CRACK is now called with the new equation e_622 : 
0=p4

e_362,e_472,e_1 are consequences of e_622

Step 2178: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0024*p5 + g0026*p3 + g0027*p1


e_624 is a consequence of e_565.
e_624 is a consequence of e_466.
Substitution of p4 found in e_622 : 
p4=0


Step 2179: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

The list of inequalities got extended by: 

g0024*p5 + g0026*p1 + g0027*p1


e_611 is a consequence of e_596.
e_629 is a consequence of e_396.
e_635 is a consequence of e_554.
Substitution of p3 by an expression in 
p1 found in e_565 : 
p3=p1


Step 2180: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 

g0075*p9 - g0076*p7 + g0077*p7


The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 

1


The list of inequalities got extended by: 
An expression with 13 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
e_613,e_637,e_59,e_579,e_396,e_596,e_284,e_665,e_660 are consequences of e_554
e_625,e_480,e_179 are consequences of e_648

e_86 is a consequence of e_278.
e_631 is a consequence of e_278.
e_667 is a consequence of e_278.
e_614 is a consequence of e_278.
e_650 is a consequence of e_278.
Substitution of p8 by an expression in 
p7 found in e_427 : 
p8= - p7


Step 2181: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q29,q40,q37,p9,p5,p1,p7
New ordering: q41,q29,q40,q37,p9,p1,p5,p7

The list of inequalities got extended by: 

p1


p9


The list of inequalities got extended by: 

q29


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

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

Substitution of p1 found in e_554 : 
p1=0


leads to a contradiction in : 
0=2*p1*p9 + p5*p7


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 30 ms

The list of inequalities got extended by: 

q8


New level : 1.2.1.1.2.
CRACK is now called with the new equation e_502 : 
0=p5


Step 2182: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0025*p4 + g0026*p3 + g0027*p1


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

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

e_622 is a consequence of e_598.
e_179 is a consequence of e_310.
Substitution of p5 found in e_502 : 
p5=0


Step 2183: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0026*p3 + g0027*p1


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

e_645 is a consequence of e_598.
e_612 is a consequence of e_598.
Substitution of p4 found in e_310 : 
p4=0


Step 2184: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2185: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2186: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2187: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2188: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2189: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2190: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2191: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2192: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2193: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2194: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2195: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2196: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
p7

from e_255 and e_320. e_320: 

0=(p7 + 3*p8)*p1

is replaced by e_727: 

0=p1

e_623,e_626,e_59,e_579,e_624,e_617,e_396,e_596,e_627,e_613,e_255,e_598
 are consequences of e_727

Step 2197: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

The list of inequalities got extended by: 

p3

The lexicographical ordering of unknowns is changed
because p3 has to be non-zero, giving p3 a low priority.
Old ordering: q41,q40,q37,q29,q8,p9,p7,p3,p1,p8
New ordering: q41,q40,q37,q29,q8,p9,p7,p1,p3,p8

The list of inequalities got extended by: 
An expression with 10 terms
e_706,e_708,e_403 are consequences of e_728
e_528,e_529,e_667,e_710,e_527,e_86,e_544,e_716,e_278 are consequences of e_625
e_427 is a consequence of e_729
e_554,e_660,e_665,e_284,e_407 are consequences of e_730

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: q41,q40,q37,q29,q8,p9,p7,p1,p3,p8
New ordering: q41,q40,q37,q29,q8,p9,p1,p7,p3,p8
e_445 is a consequence of e_731
e_138 is a consequence of e_732

e_628 is a consequence of e_730.
e_628 is a consequence of e_395.
e_480 is a consequence of e_730.
e_480 is a consequence of e_395.
Substitution of p1 found in e_727 : 
p1=0


leads to a contradiction in : 9 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

p10

The lexicographical ordering of unknowns is changed
because p10 has to be non-zero, giving p10 a low priority.
Old ordering: q41,q40,q37,q29,q25,q23,q8,p10,p9,p7,p5,p4,p3,p1,p8
New ordering: q41,q40,q37,q29,q25,q23,q8,p9,p7,p5,p4,p3,p1,p10,p8

New level : 1.2.1.2.
CRACK is now called with the new equation e_733 : 
0=q37

e_554,e_660,e_665,e_284,e_596,e_407,e_466,e_489 are consequences of e_733

Step 2198: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

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

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

e_280 is a consequence of e_555.
e_691 is a consequence of e_394.
e_421 is a consequence of e_555.e_667,e_86,e_544 are consequences of e_522

e_453 is a consequence of e_555.
e_395 is a consequence of e_522.
e_212 is a consequence of e_522.
e_212 is a consequence of e_394.
e_558 is a consequence of e_394.
e_558 is a consequence of e_300.
e_490 is a consequence of e_433.
e_109 is a consequence of e_555.
e_318 is a consequence of e_555.
Substitution of q37 found in e_733 : 
q37=0


Step 2199: 
Hot list 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 21 terms

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

e_398 is a consequence of e_569.
e_399 is a consequence of e_522.
e_568 is a consequence of e_569.
e_570 is a consequence of e_569.
Substitution of q40 found in e_555 : 
q40=0


Step 2200: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

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

e_128 is a consequence of e_516.
e_580 is a consequence of e_522.
e_580 is a consequence of e_516.
e_581 is a consequence of e_516.
e_571 is a consequence of e_516.
e_430 is a consequence of e_516.
Substitution of q41 found in e_569 : 
q41=0


Step 2201: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

e_393 is a consequence of e_588.
e_638 is a consequence of e_621.
Substitution of q25 by an expression in 
q23 found in e_370 : 
q25= - 3*q23


Step 2202: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

e_621 is a consequence of e_598.
e_621 is a consequence of e_336.
e_588 is a consequence of e_310.
e_553 is a consequence of e_540.
e_607 is a consequence of e_522.
e_630 is a consequence of e_540.
*** Garbage collection starting 
*** GC 888  2-Oct-2003 13:37:19, 40 ms (1%), 1061489 occupied, 23938463 free

Substitution of q23 by an expression in 
q8, p9, p8 found in e_470 : 
      - p9*q8
q23=----------
        p8


Step 2203: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

q8


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: q29,q8,p9,p7,p5,p4,p3,p1,p10,p8
New ordering: q29,q8,p9,p5,p4,p3,p1,p7,p10,p8

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

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

e_541 is a consequence of e_472.e_608,e_527,e_643,e_598 are consequences of 
e_541

e_516 is a consequence of e_310.
e_516 is a consequence of e_472.
e_394 is a consequence of e_472.
e_394 is a consequence of e_336.
e_394 is a consequence of e_255.
e_277 is a consequence of e_472.
e_456 is a consequence of e_472.
e_467 is a consequence of e_472.
e_314 is a consequence of e_472.
e_317 is a consequence of e_472.
e_170 is a consequence of e_472.
e_300 is a consequence of e_472.
e_125 is a consequence of e_472.
e_330 is a consequence of e_472.
e_256 is a consequence of e_472.
e_323 is a consequence of e_472.
e_509 is a consequence of e_472.
e_547 is a consequence of e_472.
e_589 is a consequence of e_472.
e_526 is a consequence of e_472.
e_538 is a consequence of e_472.
e_422 is a consequence of e_472.
e_264 is a consequence of e_472.
e_646 is a consequence of e_472.
e_646 is a consequence of e_636.
e_646 is a consequence of e_540.
e_590 is a consequence of e_472.
e_64 is a consequence of e_472.
e_435 is a consequence of e_472.
e_669 is a consequence of e_472.
e_586 is a consequence of e_472.
e_572 is a consequence of e_472.
e_609 is a consequence of e_472.
e_408 is a consequence of e_472.
e_561 is a consequence of e_472.
e_362 is a consequence of e_472.
e_574 is a consequence of e_472.
e_575 is a consequence of e_472.
e_573 is a consequence of e_472.
Substitution of q29 by an expression in 
q8, p9, p10 found in e_548 : 
     3*p9*q8
q29=---------
       p10


Step 2204: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0025*p4 + g0026*p3 + g0027*p1


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

p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q8,p9,p5,p4,p3,p1,p7,p10,p8
New ordering: q8,p5,p4,p3,p1,p9,p7,p10,p8

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

e_425 is a consequence of e_336.
e_425 is a consequence of e_255.e_320 is a consequence of e_425

e_441 is a consequence of e_657.
e_654 is a consequence of e_657.
e_652 is a consequence of e_657.
e_624 is a consequence of e_551.
Substitution of p5 found in e_540 : 
p5=0


Step 2205: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0025*p4 + g0026*p3


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

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

e_179 is a consequence of e_657.
e_622 is a consequence of e_657.
e_502 is a consequence of e_657.
e_104 is a consequence of e_657.
e_551 is a consequence of e_657.
e_365 is a consequence of e_657.
e_74 is a consequence of e_657.
e_445 is a consequence of e_657.
e_416 is a consequence of e_657.
e_521 is a consequence of e_657.
e_58 is a consequence of e_657.
e_388 is a consequence of e_657.
e_331 is a consequence of e_657.
e_287 is a consequence of e_657.
e_244 is a consequence of e_657.
Substitution of p1 found in e_255 : 
p1=0


Step 2206: 
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


The list of inequalities got extended by: 

g0074*p10 + g0076*p8 + g0077*p7


The list of inequalities got extended by: 

g0054*p10 + g0067*p8 + g0069*p7


p10

The lexicographical ordering of unknowns is changed
because p10 has to be non-zero, giving p10 a low priority.
Old ordering: q8,p4,p3,p9,p7,p10,p8
New ordering: q8,p4,p3,p9,p7,p8,p10

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

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

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

p6

The lexicographical ordering of unknowns is changed
because p6 has to be non-zero, giving p6 a low priority.
Old ordering: q41,q40,q37,q29,q25,q23,q8,p10,p9,p7,p6,p5,p4,p3,p1,p8
New ordering: q41,q40,q37,q29,q25,q23,q8,p10,p9,p7,p5,p4,p3,p1,p6,p8

New level : 1.2.2.
CRACK is now called with the new equation e_691 : 
0=q37

e_407,e_466,e_340,e_489 are consequences of e_691

Step 2207: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

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

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

e_336 is a consequence of e_81.e_86,e_544 are consequences of e_394

e_565 is a consequence of e_394.
e_467 is a consequence of e_286.
e_502 is a consequence of e_473.
Substitution of q37 found in e_691 : 
q37=0


Step 2208: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

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

e_408 is a consequence of e_322.
e_548 is a consequence of e_471.e_330,e_300,e_170,e_317,e_314
 are consequences of e_548

e_480 is a consequence of e_307.
e_523 is a consequence of e_71.
Substitution of q23 found in e_325 : 
q23=0


Step 2209: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

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

e_546 is a consequence of e_307.
e_539 is a consequence of e_394.
e_539 is a consequence of e_471.
e_275 is a consequence of e_471.
e_12 is a consequence of e_471.
Substitution of q25 found in e_322 : 
q25=0


Step 2210: 
Hot list 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 21 terms

The list of inequalities got extended by: 
An expression with 24 terms
e_396,e_473,e_403,e_104,e_1,e_569,e_435,e_425 are consequences of e_383

e_276 is a consequence of e_383.
e_421 is a consequence of e_394.
e_522 is a consequence of e_383.
e_453 is a consequence of e_383.
e_395 is a consequence of e_383.
e_389 is a consequence of e_383.
e_433 is a consequence of e_383.
e_429 is a consequence of e_383.
e_512 is a consequence of e_383.
e_328 is a consequence of e_383.
Substitution of q40 found in e_81 : 
q40=0


Step 2211: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

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

e_277 is a consequence of e_394.
e_64 is a consequence of e_394.
e_179 is a consequence of e_394.
e_71 is a consequence of e_471.
e_513 is a consequence of e_394.
e_493 is a consequence of e_394.
Substitution of q41 found in e_383 : 
q41=0


Step 2212: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_447,e_485,e_486 are consequences of e_585

Step 2213: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_587 is a consequence of e_394.
Step 2214: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_588 is a consequence of e_394.
Step 2215: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_589 is a consequence of e_394.
Step 2216: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2217: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2218: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_594 is a consequence of e_307.
Step 2219: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_595 is a consequence of e_471.
Step 2220: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms
e_528 is a consequence of e_596

Step 2221: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_598 is a consequence of e_307.
Step 2222: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_599 is a consequence of e_307.
Step 2223: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2224: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_602 is a consequence of e_394.
Step 2225: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_603 is a consequence of e_394.
Step 2226: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2227: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_606 is a consequence of e_394.
Step 2228: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_607 is a consequence of e_394.
Step 2229: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2230: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_610 is a consequence of e_394.
Step 2231: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2232: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2233: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2234: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2235: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_619 is a consequence of e_394.
Step 2236: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2237: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2238: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2239: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2240: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2241: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2242: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2243: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2244: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2245: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2246: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_634 is a consequence of e_636

Step 2247: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2248: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2249: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2250: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2251: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2252: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2253: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2254: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_642,e_638 are consequences of e_649

Step 2255: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_611,e_529,e_604,e_527,e_286,e_278,e_471,e_596,e_394,e_585,e_600,e_636,e_649
 are consequences of e_651

Step 2256: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

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

q8


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: q29,q8,p10,p9,p7,p5,p4,p3,p1,p6,p8
New ordering: q29,q8,p10,p9,p5,p4,p3,p1,p7,p6,p8
*** Garbage collection starting 
*** GC 889  2-Oct-2003 13:37:22, 40 ms (1%), 1064768 occupied, 23935183 free

The list of inequalities got extended by: 

p1


p10

The lexicographical ordering of unknowns is changed
because p10 has to be non-zero, giving p10 a low priority.
Old ordering: q29,q8,p10,p9,p5,p4,p3,p1,p7,p6,p8
New ordering: q29,q8,p9,p5,p4,p3,p10,p1,p7,p6,p8

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

e_652 is a consequence of e_307.
e_653 is a consequence of e_608.
e_654 is a consequence of e_540.
e_646 is a consequence of e_540.
e_656 is a consequence of e_307.
e_647 is a consequence of e_307.
e_657 is a consequence of e_307.
e_658 is a consequence of e_307.
e_659 is a consequence of e_307.
e_660 is a consequence of e_307.
e_661 is a consequence of e_540.
e_662 is a consequence of e_540.
e_631 is a consequence of e_540.
Substitution of q29 found in e_651 : 
q29=0


Step 2257: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0074*p10 + g0076*p8 + g0077*p7


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

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q8,p9,p5,p4,p3,p10,p1,p7,p6,p8
New ordering: q8,p9,p4,p3,p5,p10,p1,p7,p6,p8

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: q8,p9,p4,p3,p5,p10,p1,p7,p6,p8
New ordering: q8,p4,p3,p9,p5,p10,p1,p7,p6,p8

The list of inequalities got extended by: 

g0054*p10 + g0067*p8 + g0069*p7


Substitution of p9 found in e_307 : 
p9=0


leads to a contradiction in : 
0=p1*p9 + p5*p7


This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 70 ms

The list of inequalities got extended by: 

p2

The lexicographical ordering of unknowns is changed
because p2 has to be non-zero, giving p2 a low priority.
Old ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,
q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,
q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8,p7,p6,p5,p4,p3,p2,p1
New ordering: q46,q45,q44,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,
q30,q29,q28,q27,q26,q25,q24,q23,q22,q21,q20,q19,q18,q17,q16,q15,q14,q13,q12,q11,
q10,q9,q8,q7,q6,q5,q4,q3,q2,q1,p10,p9,p8,p7,p6,p5,p4,p3,p1,p2

New level : 2.
CRACK is now called with the new equation e_372 : 
0=q23


Step 2258: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 19 terms

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

Substitution of q23 found in e_372 : 
q23=0


Step 2259: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms

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

Substitution of q25 found in e_239 : 
q25=0


Step 2260: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

Substitution of q8 by an expression in 
q39, q13, p10, p6, p2 found in e_209 : 9 factors in 3 terms

Step 2261: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

Substitution of q14 by an expression in 
q39, q10, p6, p2 found in e_205 : 9 factors in 3 terms

Step 2262: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

Substitution of q10 by an expression in 
q18, q16, p10, p2 found in e_135 : 9 factors in 3 terms

Step 2263: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

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

Substitution of q5 by an expression in 
q39, q13, q2, p9, p5, p2 found in e_283 : 9 factors in 4 terms

Step 2264: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

The list of inequalities got extended by: 
An expression with 23 terms
*** Garbage collection starting 
*** GC 890  2-Oct-2003 13:37:26, 30 ms (1%), 1151722 occupied, 23848224 free

Substitution of q44 by an expression in 
q45, q35, p9, p8, p7, p2 found in e_382 : 18 factors in 5 terms

Step 2265: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2266: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2267: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2268: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2269: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2270: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2271: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2272: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2273: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2274: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2275: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2276: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2277: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 891  2-Oct-2003 13:37:29, 50 ms (1%), 1255887 occupied, 23744041 free
*** Garbage collection starting 
*** GC 892  2-Oct-2003 13:37:32, 60 ms (1%), 1290612 occupied, 23709290 free
Eliminate 
q39

from e_104 and e_133. e_133: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q39,q17,q16,q13,p10,p6)

is replaced by e_317: 
(#) 3 terms, 4 factors, with derivatives of functions of all variables: 

 (q17,q16,q13,p10)


Step 2278: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 893  2-Oct-2003 13:37:35, 50 ms (1%), 1304203 occupied, 23695713 free
*** Garbage collection starting 
*** GC 894  2-Oct-2003 13:37:38, 50 ms (1%), 1181402 occupied, 23818539 free
Eliminate 
q45

from e_132 and e_311. e_311: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q45,q26,q24,q22,p10,p9,p6)

is replaced by e_41: 

0=(97*q22 - 85*q24)*p10


Step 2279: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2280: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2281: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_41 and e_316. e_316: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q45,q43,q24,q22,p10,p6)

is replaced by e_15: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q45,q43,q22,p10,p6)


Step 2282: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 895  2-Oct-2003 13:37:41, 60 ms (1%), 1324177 occupied, 23675726 free
Eliminate 
q24

from e_41 and e_39. e_39: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q46,q43,q24,q22,p10,p6,p5)

is replaced by e_330: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q46,q43,q22,p10,p6,p5)


Step 2283: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 896  2-Oct-2003 13:37:44, 50 ms (1%), 1191295 occupied, 23808634 free
*** Garbage collection starting 
*** GC 897  2-Oct-2003 13:37:47, 50 ms (1%), 1256689 occupied, 23743230 free
*** Garbage collection starting 
*** GC 898  2-Oct-2003 13:37:50, 50 ms (1%), 1304525 occupied, 23695381 free
*** Garbage collection starting 
*** GC 899  2-Oct-2003 13:37:53, 50 ms (1%), 1192343 occupied, 23807581 free
*** Garbage collection starting 
*** GC 900  2-Oct-2003 13:37:56, 50 ms (1%), 1260636 occupied, 23739285 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_92 we get the alternative equations : 
0=p9


0=q39


New level : 2.1.
CRACK is now called with the new equation e_109 : 
0=p9

e_179,e_18 are consequences of e_109

Step 2284: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 28 terms

The list of inequalities got extended by: 

g0074*p10 + g0076*p8 + g0077*p7


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

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

e_241 is a consequence of e_203.
e_409 is a consequence of e_217.
e_433 is a consequence of e_203.
e_433 is a consequence of e_76.
e_458 is a consequence of e_203.
Substitution of p9 found in e_109 : 
p9=0


Step 2285: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

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

e_239 is a consequence of e_434.
e_430 is a consequence of e_217.
Substitution of q42 found in e_410 : 
q42=0


Step 2286: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

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

e_217 is a consequence of e_223.
e_273 is a consequence of e_196.
e_355 is a consequence of e_145.
Substitution of q45 by an expression in 
q43, p8, p7, p2 found in e_139 : 8 factors in 3 terms

Step 2287: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

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

Substitution of q30 by an expression in 
q28, q27, q1, p7, p2 found in e_414 : 8 factors in 4 terms

Step 2288: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 901  2-Oct-2003 13:37:59, 50 ms (1%), 1191065 occupied, 23808879 free
 --- 
Algebraic length reduction of equations : shortening by -1 terms

e_337 is a consequence of e_145.
Step 2289: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2290: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2291: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2292: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2293: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2294: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2295: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2296: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2297: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2298: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2299: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2300: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2301: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2302: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2303: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2304: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2305: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2306: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2307: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2308: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2309: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2310: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2311: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2312: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2313: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2314: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_266 is a consequence of e_314.
Step 2315: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2316: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2317: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

e_270 is a consequence of e_223.
Step 2318: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_283 is a consequence of e_223.
Step 2319: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2320: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2321: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q24

from e_6 and e_41. e_41: 

0=(97*q22 - 85*q24)*p10

is replaced by e_278: 

0=p10*q22


e_278 is a consequence of e_314.
Step 2322: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q2

from e_353 and e_356. e_356: 

0=(q2 - q29)*p8

is replaced by e_279: 

0=p8*q29


Step 2323: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2324: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 902  2-Oct-2003 13:38:03, 60 ms (1%), 1311716 occupied, 23688208 free
*** Garbage collection starting 
*** GC 903  2-Oct-2003 13:38:07, 60 ms (1%), 1280194 occupied, 23719729 free
*** Garbage collection starting 
*** GC 904  2-Oct-2003 13:38:10, 50 ms (1%), 1242818 occupied, 23757109 free
*** Garbage collection starting 
*** GC 905  2-Oct-2003 13:38:14, 50 ms (1%), 1194967 occupied, 23804978 free
*** Garbage collection starting 
*** GC 906  2-Oct-2003 13:38:18, 60 ms (1%), 1311521 occupied, 23688391 free
Stop of a subroutine.
Number of garbage collections exceeds max_gc_red_len.
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_196 we get the alternative equations : 
0=p10


0=q43


New level : 2.1.1.
CRACK is now called with the new equation e_338 : 
0=p10

e_317,e_128,e_352,e_369,e_408,e_314,e_6 are consequences of e_338

Step 2325: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0076*p8 + g0077*p7


The list of inequalities got extended by: 
An expression with 23 terms
e_457 is a consequence of e_18

e_401 is a consequence of e_18.
e_482 is a consequence of e_18.e_508,e_264,e_74 are consequences of e_516

e_524 is a consequence of e_516.
e_525 is a consequence of e_516.
Substitution of p10 found in e_338 : 
p10=0


Step 2326: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q46 found in e_516 : 
q46=0


Step 2327: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

Substitution of q31 by an expression in 
q39, q34, p7, p6, p2 found in e_536 : 12 factors in 3 terms

Step 2328: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2329: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2330: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2331: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2332: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2333: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2334: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2335: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2336: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2337: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2338: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2339: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 907  2-Oct-2003 13:38:21, 60 ms (1%), 1219469 occupied, 23780476 free
shortening by 2 terms

Step 2340: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2341: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2342: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2343: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2344: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2345: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2346: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2347: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2348: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2349: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2350: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

Substitution of q33 by an expression in 
q35, p8, p7, p2 found in e_401 : 10 factors in 3 terms

Step 2351: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2352: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2353: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2354: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

e_525 is a consequence of e_241.
e_323 is a consequence of e_241.
e_574 is a consequence of e_241.
e_21 is a consequence of e_241.
Substitution of q26 by an expression in 
q39, p6, p2 found in e_430 : 
         2
     2*p6 *q39
q26=-----------
          2
        p2


Step 2355: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_410 is a consequence of e_241.
Step 2356: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_432 is a consequence of e_241.
Step 2357: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_136 is a consequence of e_241.
Step 2358: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_54 is a consequence of e_241.
Step 2359: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_282 is a consequence of e_241.
Step 2360: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2361: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2362: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2363: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2364: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2365: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2366: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2367: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2368: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2369: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2370: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2371: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2372: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2373: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2374: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2375: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2376: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2377: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2378: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2379: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2380: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2381: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2382: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2383: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2384: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2385: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2386: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2387: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2388: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2389: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2390: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2391: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2392: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2393: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2394: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 2395: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 10 terms

e_285 is a consequence of e_287.
Step 2396: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2397: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_193 is a consequence of e_183.
Step 2398: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

e_293 is a consequence of e_183.
Step 2399: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2400: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2401: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2402: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2403: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2404: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2405: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2406: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2407: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2408: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2409: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2410: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2411: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2412: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2413: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2414: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2415: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2416: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2417: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2418: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2419: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2420: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2421: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2422: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2423: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2424: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 2425: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 8 terms

Step 2426: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2427: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2428: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2429: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 908  2-Oct-2003 13:38:25, 60 ms (1%), 1297517 occupied, 23702406 free
*** Garbage collection starting 
*** GC 909  2-Oct-2003 13:38:30, 60 ms (1%), 1218697 occupied, 23781247 free
*** Garbage collection starting 
*** GC 910  2-Oct-2003 13:38:34, 60 ms (1%), 1268858 occupied, 23731072 free
Eliminate 
q1

from e_134 and e_481. e_481: 
(#) 6 terms, 13 factors, with derivatives of functions of all variables: 

               2
 (q28,q27,q1,p7 ,p7,p2)

is replaced by e_447: 

0=(q27 - q28)*p7*(2*p2 + p7)


Step 2430: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_511 and e_263. e_263: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

            2
 (q35,q32,p8 ,p8,p7,p2)

is replaced by e_311: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

        2      2
 (q32,p8 ,p8,p7 ,p7,p2)


Step 2431: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2432: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2433: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 911  2-Oct-2003 13:38:38, 50 ms (1%), 1215076 occupied, 23784868 free
*** Garbage collection starting 
*** GC 912  2-Oct-2003 13:38:43, 60 ms (1%), 1277331 occupied, 23722591 free
*** Garbage collection starting 
*** GC 913  2-Oct-2003 13:38:47, 50 ms (1%), 1225770 occupied, 23774174 free
Eliminate 
q28

from e_351 and e_265. e_265: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q22,p8,p6,p3)

is replaced by e_337: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q27,q22,p8,p6,p3)


Step 2434: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_351 and e_364. e_364: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q24,p8,p6,p1)

is replaced by e_446: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q27,q24,p8,p6,p1)


Step 2435: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q39

from e_418 and e_154. e_154: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q39,q17,q16,p8,p7,p1,p2)

is replaced by e_491: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q17,q16,p8,p2)


Step 2436: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 914  2-Oct-2003 13:38:52, 50 ms (1%), 1300627 occupied, 23699298 free
*** Garbage collection starting 
*** GC 915  2-Oct-2003 13:38:56, 50 ms (1%), 1261826 occupied, 23738097 free
Eliminate 
q28

from e_351 and e_141. e_141: 

0=p1*q43 + p6*q28 - p6*q4

is replaced by e_369: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q27,q4,p6,p1)


Step 2437: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 916  2-Oct-2003 13:39:00, 60 ms (1%), 1297001 occupied, 23702918 free
Eliminate 
q39

from e_418 and e_157. e_157: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q39,q18,p7,p1,p2)

is replaced by e_457: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q18,q16,p7,p2)


Step 2438: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 917  2-Oct-2003 13:39:05, 50 ms (1%), 1242389 occupied, 23757552 free
*** Garbage collection starting 
*** GC 918  2-Oct-2003 13:39:09, 60 ms (1%), 1313871 occupied, 23686044 free
Eliminate 
q28

from e_351 and e_406. e_406: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q43,q32,q28,q27,q2,p6,p5,p1)

is replaced by e_74: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q43,q32,q27,q2,p6,p5,p1)


Step 2439: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q43

from e_371 and e_414. e_414: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q43,q34,q24,p8,p7,p5,p1,p2)

is replaced by e_338: 
(#) 2 terms, 5 factors, with derivatives of functions of all variables: 

 (q34,q24,p7,p5,p2)


Step 2440: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q32

from e_507 and e_512. e_512: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q32,q29,q22,q2,p8,p6,p5,p2)

is replaced by e_576: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q29,q22,q2,p8,p6,p2)


Step 2441: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 919  2-Oct-2003 13:39:14, 60 ms (1%), 1302086 occupied, 23697837 free
*** Garbage collection starting 
*** GC 920  2-Oct-2003 13:39:18, 60 ms (1%), 1287177 occupied, 23712747 free
*** Garbage collection starting 
*** GC 921  2-Oct-2003 13:39:23, 60 ms (1%), 1288107 occupied, 23711817 free
Eliminate 
q39

from e_418 and e_161. e_161: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q39,q17,q13,p7,p1,p2)

is replaced by e_525: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q17,q16,q13,p7,p2)


Step 2442: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q43

from e_369 and e_446. e_446: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q27,q24,p8,p6,p1)

is replaced by e_430: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q27,q24,q4,p8,p6)


Step 2443: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 922  2-Oct-2003 13:39:28, 60 ms (1%), 1222296 occupied, 23777647 free
*** Garbage collection starting 
*** GC 923  2-Oct-2003 13:39:32, 50 ms (1%), 1226910 occupied, 23773034 free
*** Garbage collection starting 
*** GC 924  2-Oct-2003 13:39:37, 50 ms (1%), 1234015 occupied, 23765926 free
Eliminate 
q28

from e_357 and e_2. e_2: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q41,q28,q27,q4,q1,p7,p5,p4,p2)

is replaced by e_432: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q41,q27,q4,q1,p7,p5,p4,p2)


Step 2444: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_490 and e_532. e_532: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q43,q34,q29,q24,p8,p7,p6,p5,p2)

is replaced by e_333: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q43,q34,q24,p7,p5,p2)


Step 2445: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 925  2-Oct-2003 13:39:41, 50 ms (1%), 1293170 occupied, 23706759 free
*** Garbage collection starting 
*** GC 926  2-Oct-2003 13:39:46, 60 ms (1%), 1306859 occupied, 23693057 free
Eliminate 
q28

from e_351 and e_300. e_300: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q1,p8,p7,p6,p1,p2)

is replaced by e_196: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q43,q27,q1,p8,p7,p6,p1,p2)


Step 2446: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 927  2-Oct-2003 13:39:50, 60 ms (1%), 1306589 occupied, 23693333 free
Eliminate 
q29

from e_490 and e_382. e_382: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q43,q35,q29,q24,p8,p7,p6,p5,p2)

is replaced by e_282: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

                         2
 (q43,q35,q24,p8,p7,p5,p2 ,p2)


Step 2447: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_163 and e_171. e_171: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q37,q29,q13,q6,q2,p8,p5,p1,p2)

is replaced by e_527: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q29,q13,q6,q2,p8,p5,p1,p2)


Step 2448: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 928  2-Oct-2003 13:39:55, 50 ms (1%), 1286696 occupied, 23713226 free
Eliminate 
q28

from e_351 and e_539. e_539: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                   2               2
 (q43,q28,q27,q1,p8 ,p8,p7,p6,p1,p2 ,p2)

is replaced by e_175: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

               2               2
 (q43,q27,q1,p8 ,p8,p7,p6,p1,p2 ,p2)


Step 2449: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 929  2-Oct-2003 13:40:00, 50 ms (1%), 1303696 occupied, 23696230 free
Eliminate 
q43

from e_196 and e_175. e_175: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

               2               2
 (q43,q27,q1,p8 ,p8,p7,p6,p1,p2 ,p2)

is replaced by e_144: 
(#) 3 terms, 8 factors, with derivatives of functions of all variables: 

 (q27,q1,p8,p7,p6,p2)


Step 2450: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 930  2-Oct-2003 13:40:04, 50 ms (1%), 1221152 occupied, 23778792 free
Eliminate 
q28

from e_351 and e_7. e_7: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                   2               2
 (q43,q28,q27,q1,p8 ,p8,p7,p6,p3,p2 ,p2)

is replaced by e_442: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

               2               2
 (q43,q27,q1,p8 ,p8,p7,p6,p3,p2 ,p2)


Step 2451: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q43

from e_333 and e_303. e_303: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q43,q35,q34,q24,q22,p8,p7,p5,p2)

is replaced by e_313: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                             2
 (q35,q34,q24,q22,p8,p7,p5,p2 ,p2)


Step 2452: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 931  2-Oct-2003 13:40:09, 50 ms (1%), 1244280 occupied, 23755660 free
*** Garbage collection starting 
*** GC 932  2-Oct-2003 13:40:14, 60 ms (1%), 1292539 occupied, 23707368 free
*** Garbage collection starting 
*** GC 933  2-Oct-2003 13:40:18, 50 ms (1%), 1257427 occupied, 23742488 free
*** Garbage collection starting 
*** GC 934  2-Oct-2003 13:40:23, 60 ms (1%), 1238712 occupied, 23761226 free
Eliminate 
q29

from e_576 and e_507. e_507: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q32,q29,q22,p8,p6,p5,p2)

is replaced by e_529: 

0=2*p5*q32 - p6*q2


Step 2453: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q32

from e_529 and e_74. e_74: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q43,q32,q27,q2,p6,p5,p1)

is replaced by e_479: 
 4 terms, 8 factors, with derivatives of functions of all variables: 

 (q43,q27,q2,p6,p5,p1)


Step 2454: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 935  2-Oct-2003 13:40:28, 60 ms (1%), 1271165 occupied, 23728765 free
Eliminate 
q40

from e_16 and e_553. e_553: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q40,q38,q37,q34,q11,p8,p7,p6,p1,p2)

is replaced by e_330: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q38,q34,q11,p8,p7,p6,p1,p2)


Step 2455: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 936  2-Oct-2003 13:40:33, 60 ms (1%), 1239809 occupied, 23760133 free
Eliminate 
q43

from e_287 and e_90. e_90: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2                  2
 (q43,q36,q28,q6,p8 ,p8,p7,p5,p4,p1,p2 ,p2)

is replaced by e_541: 

0=p1*q28 - p5*q36 + p7*q6


Step 2456: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_541 and e_363. e_363: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q28,q27,q6,q1,p7,p5,p1,p2)

is replaced by e_501: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q28,q27,q1,p7,p1,p2)


Step 2457: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_125 and e_361. e_361: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q41,q36,q34,q32,q12,p7,p6,p4,p1,p2)

is replaced by e_549: 

0=p4*q32


Step 2458: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2459: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of 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 937  2-Oct-2003 13:40:37, 60 ms (1%), 1269036 occupied, 23730879 free
*** Garbage collection starting 
*** GC 938  2-Oct-2003 13:40:42, 50 ms (1%), 1214851 occupied, 23785093 free
Eliminate 
q28

from e_351 and e_71. e_71: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q24,q1,p8,p7,p6,p3,p2)

is replaced by e_555: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q43,q27,q24,q1,p8,p7,p6,p3,p2)


Step 2460: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 939  2-Oct-2003 13:40:47, 50 ms (1%), 1250233 occupied, 23749698 free
Eliminate 
q28

from e_351 and e_133. e_133: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                       2               2
 (q43,q28,q27,q24,q1,p8 ,p8,p7,p6,p1,p2 ,p2)

is replaced by e_551: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                   2               2
 (q43,q27,q24,q1,p8 ,p8,p7,p6,p1,p2 ,p2)


Step 2461: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 940  2-Oct-2003 13:40:52, 60 ms (1%), 1280975 occupied, 23718947 free
*** Garbage collection starting 
*** GC 941  2-Oct-2003 13:40:57, 50 ms (1%), 1260612 occupied, 23739309 free
Eliminate 
q27

from e_430 and e_369. e_369: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q27,q4,p6,p1)

is replaced by e_561: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q43,q24,q4,p8,p6,p1)


Step 2462: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 942  2-Oct-2003 13:41:02, 60 ms (1%), 1299079 occupied, 23700838 free
*** Garbage collection starting 
*** GC 943  2-Oct-2003 13:41:06, 60 ms (1%), 1288484 occupied, 23711438 free
*** Garbage collection starting 
*** GC 944  2-Oct-2003 13:41:11, 60 ms (1%), 1282092 occupied, 23717825 free
*** Garbage collection starting 
*** GC 945  2-Oct-2003 13:41:16, 60 ms (1%), 1281274 occupied, 23718652 free
Eliminate 
q36

from e_541 and e_402. e_402: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q43,q36,q28,q27,q6,q1,p7,p5,p4,p1,p2)

is replaced by e_565: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q1,p7,p4,p1,p2)


Step 2463: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_501 and e_565. e_565: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q1,p7,p4,p1,p2)

is replaced by e_564: 

0=p4*q43


Step 2464: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2465: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2466: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2467: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2468: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2469: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2470: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2471: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 946  2-Oct-2003 13:41:21, 60 ms (1%), 1232714 occupied, 23767229 free
*** Garbage collection starting 
*** GC 947  2-Oct-2003 13:41:26, 50 ms (1%), 1236069 occupied, 23763869 free
Eliminate 
q28

from e_550 and e_541. e_541: 

0=p1*q28 - p5*q36 + p7*q6

is replaced by e_285: 

0=p1*q4 - p5*q36 + p7*q6


Step 2472: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_550 and e_459. e_459: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q28,q27,q6,q1,p7,p1,p2)

is replaced by e_193: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)


Step 2473: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 948  2-Oct-2003 13:41:31, 60 ms (1%), 1278415 occupied, 23721502 free
Eliminate 
q34

from e_338 and e_244. e_244: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                        2               2
 (q43,q34,q28,q24,q22,p8 ,p7,p6,p5,p1,p2 ,p2)

is replaced by e_515: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2            2
 (q43,q28,q24,q22,p8 ,p7,p6,p1,p2 )


Step 2474: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q32

from e_529 and e_405. e_405: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q43,q32,q27,q22,q1,p8,p6,p5)

is replaced by e_293: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q43,q27,q22,q2,q1,p8,p6,p5)


Step 2475: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 949  2-Oct-2003 13:41:36, 60 ms (1%), 1292020 occupied, 23707902 free
*** Garbage collection starting 
*** GC 950  2-Oct-2003 13:41:41, 60 ms (1%), 1292178 occupied, 23707742 free
Eliminate 
q28

from e_351 and e_3. e_3: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q43,q28,q27,q22,q4,q1,p8,p7,p6,p1,p2)

is replaced by e_362: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q43,q27,q22,q4,q1,p8,p7,p6,p1,p2)


Step 2476: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 951  2-Oct-2003 13:41:46, 60 ms (1%), 1272777 occupied, 23727146 free
Eliminate 
q28

from e_351 and e_278. e_278: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q35,q34,q28,q27,q22,q1,p8,p7,p6,p5,p2)

is replaced by e_370: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q35,q34,q27,q22,q1,p8,p7,p6,p5,p2)


Step 2477: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 952  2-Oct-2003 13:41:51, 50 ms (1%), 1271024 occupied, 23728898 free
Eliminate 
q35

from e_484 and e_370. e_370: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q35,q34,q27,q22,q1,p8,p7,p6,p5,p2)

is replaced by e_404: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q34,q27,q22,q1,p7,p6,p5,p2)


Step 2478: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 953  2-Oct-2003 13:41:57, 60 ms (1%), 1259712 occupied, 23740208 free
Eliminate 
q28

from e_550 and e_286. e_286: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q28,q27,q1,p7,p5,p1,p2)

is replaced by e_441: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q27,q4,q1,p7,p5,p1,p2)


Step 2479: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 954  2-Oct-2003 13:42:02, 60 ms (1%), 1279648 occupied, 23720270 free
Eliminate 
q32

from e_529 and e_331. e_331: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                2            2
 (q43,q32,q29,p8 ,p6,p5,p1,p2 )

is replaced by e_462: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2            2
 (q43,q29,q2,p8 ,p6,p5,p1,p2 )


Step 2480: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 955  2-Oct-2003 13:42:07, 50 ms (1%), 1220933 occupied, 23779009 free
Eliminate 
q29

from e_527 and e_163. e_163: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q37,q29,q13,q6,p8,p5,p1,p2)

is replaced by e_440: 

0=p1*q2 - 2*p5*q37


Step 2481: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_440 and e_411. e_411: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q37,q28,q27,q4,q2,p5,p3,p1)

is replaced by e_356: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q28,q27,q4,q2,p5,p3,p1)


Step 2482: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_440 and e_208. e_208: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,q16,q3,q2,p8,p5,p1,p2)

is replaced by e_566: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q40,q29,q16,q3,q2,p8,p5,p1,p2)


Step 2483: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_338 and e_310. e_310: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                            2               2
 (q43,q35,q34,q29,q24,q22,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_536: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                        2               2
 (q43,q35,q29,q24,q22,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2484: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 956  2-Oct-2003 13:42:12, 50 ms (1%), 1211815 occupied, 23788128 free
 --- 
Length reducing decoupling steps : Eliminate 
q43

from e_282 and e_536. e_536: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                        2               2
 (q43,q35,q29,q24,q22,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_449: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q35,q29,q24,q22,p8,p7,p6,p5,p2)


Step 2485: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q29

from e_490 and e_449. e_449: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q35,q29,q24,q22,p8,p7,p6,p5,p2)

is replaced by e_571: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                         2
 (q35,q24,q22,p8,p7,p5,p2 ,p2)


Step 2486: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_285 and e_441. e_441: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q27,q4,q1,p7,p5,p1,p2)

is replaced by e_454: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)


Step 2487: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 957  2-Oct-2003 13:42:17, 60 ms (1%), 1235500 occupied, 23764442 free
Eliminate 
q27

from e_454 and e_193. e_454: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)

is replaced by e_482: 

0=4*p1*q4 - 3*p7*q6


Step 2488: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_482 and e_285. e_285: 

0=p1*q4 - p5*q36 + p7*q6

is replaced by e_466: 

0=7*p1*q4 - 3*p5*q36


Step 2489: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_482 and e_193. e_193: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)

is replaced by e_476: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q27,q4,q1,p7,p1,p2)


Step 2490: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 958  2-Oct-2003 13:42:22, 60 ms (1%), 1253395 occupied, 23746525 free
Eliminate 
q28

from e_351 and e_509. e_509: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                           2               2
 (q43,q35,q28,q27,q22,q1,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_328: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                       2               2
 (q43,q35,q27,q22,q1,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2491: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 959  2-Oct-2003 13:42:28, 60 ms (1%), 1249219 occupied, 23750704 free
Eliminate 
q43

from e_479 and e_462. e_462: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

               2            2
 (q43,q29,q2,p8 ,p6,p5,p1,p2 )

is replaced by e_481: 
(#) 4 terms, 13 factors, with derivatives of functions of all variables: 

               2      2
 (q29,q27,q2,p8 ,p6,p2 )


Step 2492: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 960  2-Oct-2003 13:42:33, 50 ms (1%), 1267311 occupied, 23732617 free
*** Garbage collection starting 
*** GC 961  2-Oct-2003 13:42:38, 60 ms (1%), 1230281 occupied, 23769660 free
*** Garbage collection starting 
*** GC 962  2-Oct-2003 13:42:44, 60 ms (1%), 1286851 occupied, 23713066 free
Eliminate 
q28

from e_351 and e_249. e_249: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q34,q28,q27,q24,q1,p8,p7,p6,p5,p1,p2)

is replaced by e_39: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q43,q34,q27,q24,q1,p8,p7,p6,p5,p1,p2)


Step 2493: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 963  2-Oct-2003 13:42:49, 60 ms (1%), 1258559 occupied, 23741364 free
Eliminate 
q28

from e_351 and e_138. e_138: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                           2               2
 (q43,q34,q28,q27,q24,q1,p8 ,p7,p6,p5,p1,p2 ,p2)

is replaced by e_325: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                       2               2
 (q43,q34,q27,q24,q1,p8 ,p7,p6,p5,p1,p2 ,p2)


Step 2494: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 964  2-Oct-2003 13:42:54, 60 ms (1%), 1231812 occupied, 23768127 free
Eliminate 
q34

from e_338 and e_325. e_325: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                       2               2
 (q43,q34,q27,q24,q1,p8 ,p7,p6,p5,p1,p2 ,p2)

is replaced by e_263: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2            2
 (q43,q27,q24,q1,p8 ,p7,p6,p1,p2 ,p2)


Step 2495: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 965  2-Oct-2003 13:43:00, 60 ms (1%), 1225667 occupied, 23774274 free
Eliminate 
q28

from e_351 and e_526. e_526: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q43,q34,q32,q28,q27,q22,q1,p8,p7,p6,p5,p2)

is replaced by e_496: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q34,q32,q27,q22,q1,p8,p7,p6,p5,p2)


Step 2496: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 966  2-Oct-2003 13:43:05, 50 ms (1%), 1229277 occupied, 23770664 free
*** Garbage collection starting 
*** GC 967  2-Oct-2003 13:43:11, 60 ms (1%), 1265092 occupied, 23734831 free
Eliminate 
q36

from e_431 and e_256. e_256: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q36,q35,q34,q9,q7,p8,p7,p6,p3,p1,p2)

is replaced by e_311: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q9,q7,p8,p7,p6,p3,p1,p2)


Step 2497: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_311 and e_298. e_311: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q9,q7,p8,p7,p6,p3,p1,p2)

is replaced by e_505: 

0=p7*(p1*q34 + 2*p2*q7)


Step 2498: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_505 and e_431. e_431: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q36,q34,q7,p7,p6,p1,p2)

is replaced by e_265: 

0=5*p6*q36 - 3*p7*q7


Step 2499: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 968  2-Oct-2003 13:43:16, 60 ms (1%), 1254625 occupied, 23745301 free
Eliminate 
q36

from e_265 and e_284. e_284: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q38,q37,q36,q35,q34,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_340: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)


Step 2500: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_505 and e_340. e_340: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_364: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q11,q7,p8,p7,p6,p1,p2)


Step 2501: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_556. e_556: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q38,q37,q36,q35,q34,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_335: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)


Step 2502: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 969  2-Oct-2003 13:43:21, 60 ms (1%), 1278845 occupied, 23721075 free
Eliminate 
q38

from e_364 and e_335. e_335: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_334: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)


Step 2503: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 970  2-Oct-2003 13:43:27, 50 ms (1%), 1212596 occupied, 23787347 free
*** Garbage collection starting 
*** GC 971  2-Oct-2003 13:43:33, 50 ms (1%), 1261975 occupied, 23737954 free
Eliminate 
q28

from e_351 and e_306. e_306: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                           2                  2
 (q43,q35,q28,q27,q24,q1,p8 ,p8,p7,p6,p5,p1,p2 ,p2)

is replaced by e_319: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                       2                  2
 (q43,q35,q27,q24,q1,p8 ,p8,p7,p6,p5,p1,p2 ,p2)


Step 2504: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q43

from e_483 and e_319. e_319: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                       2                  2
 (q43,q35,q27,q24,q1,p8 ,p8,p7,p6,p5,p1,p2 ,p2)

is replaced by e_154: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                   2               2
 (q35,q27,q24,q1,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2505: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 972  2-Oct-2003 13:43:38, 50 ms (1%), 1261676 occupied, 23738252 free
Eliminate 
q28

from e_351 and e_533. e_533: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                               2               2
 (q43,q35,q34,q28,q27,q22,q1,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_314: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                           2               2
 (q43,q35,q34,q27,q22,q1,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2506: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 973  2-Oct-2003 13:43:44, 50 ms (1%), 1277913 occupied, 23722005 free
Eliminate 
q28

from e_351 and e_312. e_312: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                           2                  2
 (q43,q35,q28,q27,q24,q1,p8 ,p8,p7,p6,p5,p3,p2 ,p2)

is replaced by e_485: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                       2                  2
 (q43,q35,q27,q24,q1,p8 ,p8,p7,p6,p5,p3,p2 ,p2)


Step 2507: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 974  2-Oct-2003 13:43:50, 60 ms (1%), 1249865 occupied, 23750057 free
Eliminate 
q37

from e_440 and e_421. e_421: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q37,q28,q27,q6,q4,q1,p8,p5,p1)

is replaced by e_141: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q28,q27,q6,q4,q2,q1,p8,p5,p1)


Step 2508: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 975  2-Oct-2003 13:43:55, 60 ms (1%), 1248976 occupied, 23750950 free
Eliminate 
q28

from e_351 and e_515. e_515: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2            2
 (q43,q28,q24,q22,p8 ,p7,p6,p1,p2 )

is replaced by e_538: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2            2
 (q43,q27,q24,q22,p8 ,p7,p6,p1,p2 )


Step 2509: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 976  2-Oct-2003 13:44:01, 60 ms (1%), 1265714 occupied, 23734202 free
*** Garbage collection starting 
*** GC 977  2-Oct-2003 13:44:07, 50 ms (1%), 1255115 occupied, 23744807 free
Eliminate 
q41

from e_432 and e_246. e_246: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

 (q41,q29,q28,q27,q1,p7,p5,p4,p2)

is replaced by e_128: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

 (q29,q28,q4,p7,p4,p2)


Step 2510: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 978  2-Oct-2003 13:44:13, 50 ms (1%), 1226471 occupied, 23773471 free
Eliminate 
q29

from e_576 and e_89. e_89: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                    2               2
 (q43,q35,q29,q22,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_401: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                   2               3   2
 (q43,q35,q22,q2,p8 ,p8,p7,p6,p5,p2 ,p2 ,p2)


Step 2511: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 979  2-Oct-2003 13:44:18, 60 ms (1%), 1215537 occupied, 23784406 free
*** Garbage collection starting 
*** GC 980  2-Oct-2003 13:44:24, 60 ms (1%), 1237922 occupied, 23762017 free
Eliminate 
q43

from e_538 and e_263. e_538: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                    2            2
 (q43,q27,q24,q22,p8 ,p7,p6,p1,p2 )

is replaced by e_406: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q27,q24,q22,q1,p7,p6,p2)


Step 2512: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_406 and e_404. e_404: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q34,q27,q22,q1,p7,p6,p5,p2)

is replaced by e_414: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q34,q24,q22,p7,p5,p2)


Step 2513: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_338 and e_414. e_414: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q34,q24,q22,p7,p5,p2)

is replaced by e_577: 

0=(2*q22 - q24)*p7


Step 2514: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2515: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 981  2-Oct-2003 13:44:30, 50 ms (1%), 1265110 occupied, 23734816 free
Eliminate 
q24

from e_577 and e_263. e_263: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2            2
 (q43,q27,q24,q1,p8 ,p7,p6,p1,p2 ,p2)

is replaced by e_21: 
 5 terms, 20 factors, with derivatives of functions of all variables: 

                   2            2
 (q43,q27,q22,q1,p8 ,p7,p6,p1,p2 ,p2)


Step 2516: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 982  2-Oct-2003 13:44:36, 50 ms (1%), 1225837 occupied, 23774107 free
Eliminate 
q24

from e_577 and e_551. e_551: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                   2               2
 (q43,q27,q24,q1,p8 ,p8,p7,p6,p1,p2 ,p2)

is replaced by e_446: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                   2               2
 (q43,q27,q22,q1,p8 ,p8,p7,p6,p1,p2 ,p2)


Step 2517: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_217. e_217: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q38,q37,q36,q35,q34,q32,q13,q9,q7,p8,p7,p6,p1)

is replaced by e_99: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q32,q13,q9,q7,p8,p7,p6,p1)


Step 2518: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 983  2-Oct-2003 13:44:42, 60 ms (1%), 1228795 occupied, 23771149 free
Eliminate 
q40

from e_522 and e_445. e_445: 
 12 terms, 24 factors, with derivatives of functions of all variables: 

 (q40,q38,q29,q28,q27,q17,q3,q1,p8,p7,p5,p3,p2)

is replaced by e_410: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q38,q29,q28,q27,q17,q3,q1,p7,p5,p3,p2)


Step 2519: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 984  2-Oct-2003 13:44:47, 60 ms (1%), 1261294 occupied, 23738637 free
Eliminate 
q40

from e_16 and e_570. e_570: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

 (q40,q38,q37,q36,q35,q11,q9,p8,p7,p6,p3,p1,p2)

is replaced by e_224: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                          2
 (q38,q37,q36,q35,q11,q9,p8,p7,p6,p3,p1,p2 ,p2)


Step 2520: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_269. e_269: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q40,q38,q37,q36,q35,q11,p8,p7,p6,p1)

is replaced by e_2: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q40,q38,q37,q35,q11,q7,p8,p7,p6,p1)


Step 2521: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of 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 985  2-Oct-2003 13:44:53, 50 ms (1%), 1231897 occupied, 23768046 free
Eliminate 
q37

from e_440 and e_437. e_437: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q37,q28,q27,q3,q1,p8,p5,p3,p1)

is replaced by e_532: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q28,q27,q3,q2,q1,p8,p5,p3,p1)


Step 2522: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_412 and e_532. e_532: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q28,q27,q3,q2,q1,p8,p5,p3,p1)

is replaced by e_136: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q28,q27,q3,q2,q1,p8,p5,p3,p1)


Step 2523: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_16 and e_2. e_2: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q40,q38,q37,q35,q11,q7,p8,p7,p6,p1)

is replaced by e_456: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q11,q7,p8,p7,p6,p1,p2)


Step 2524: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 986  2-Oct-2003 13:44:59, 50 ms (1%), 1239995 occupied, 23759945 free
Eliminate 
q43

from e_483 and e_479. e_483: 

0=p1*q43 + p5*q35 + p5*q43

is replaced by e_54: 
 3 terms, 6 factors, with derivatives of functions of all variables: 

 (q35,q27,q2,p6,p5)


Step 2525: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_330 and e_456. e_456: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_222: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q37,q35,q34,q11,q7,p8,p7,p6,p1,p2)


Step 2526: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 987  2-Oct-2003 13:45:05, 60 ms (1%), 1262614 occupied, 23737313 free
Eliminate 
q38

from e_464 and e_435. e_435: 
 15 terms, 45 factors, with derivatives of functions of all variables: 

 (q38,q36,q28,q27,q6,q3,q1,p8,p7,p5,p3,p1,p2)

is replaced by e_429: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q28,q27,q6,q1,p7,p5,p1,p2)


Step 2527: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_550 and e_429. e_429: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q28,q27,q6,q1,p7,p5,p1,p2)

is replaced by e_488: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q27,q6,q4,q1,p7,p5,p1,p2)


Step 2528: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_466 and e_488. e_488: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q36,q27,q6,q4,q1,p7,p5,p1,p2)

is replaced by e_443: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)


Step 2529: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q6

from e_482 and e_443. e_443: 
 5 terms, 15 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q1,p7,p1,p2)

is replaced by e_539: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q27,q4,q1,p7,p1,p2)


Step 2530: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_539 and e_476. e_539: 
(#) 4 terms, 9 factors, with derivatives of functions of all variables: 

 (q27,q4,q1,p7,p1,p2)

is replaced by e_7: 

0=p1*q4


Step 2531: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2532: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2533: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2534: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2535: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2536: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2537: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2538: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2539: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2540: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2541: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2542: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2543: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_7 and e_550. e_550: 

0=(q28 - q4)*p1

is replaced by e_503: 

0=p1*q28


Step 2544: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_71 is a consequence of e_261.
Step 2545: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2546: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2547: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2548: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2549: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2550: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2551: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 988  2-Oct-2003 13:45:11, 60 ms (1%), 1218774 occupied, 23781170 free
*** Garbage collection starting 
*** GC 989  2-Oct-2003 13:45:17, 60 ms (1%), 1225292 occupied, 23774653 free
*** Garbage collection starting 
*** GC 990  2-Oct-2003 13:45:23, 60 ms (1%), 1236541 occupied, 23763402 free
*** Garbage collection starting 
*** GC 991  2-Oct-2003 13:45:29, 50 ms (1%), 1249473 occupied, 23750463 free
Eliminate 
q28

from e_133 and e_542. e_542: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q28,q27,q6,q4,q2,q1,p8,p5,p1)

is replaced by e_530: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q27,q6,q4,q2,q1,p8,p5,p3,p1)


Step 2552: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 992  2-Oct-2003 13:45:35, 50 ms (1%), 1250317 occupied, 23749618 free
*** Garbage collection starting 
*** GC 993  2-Oct-2003 13:45:42, 60 ms (1%), 1268759 occupied, 23731169 free
Eliminate 
q40

from e_522 and e_130. e_130: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q40,q37,q29,q17,q6,q3,p8,p5,p3,p2)

is replaced by e_557: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q37,q29,q27,q17,q6,q3,p8,p5,p3,p2)


Step 2553: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 994  2-Oct-2003 13:45:48, 50 ms (1%), 1221776 occupied, 23778169 free
Eliminate 
q40

from e_522 and e_412. e_522: 
 5 terms, 10 factors, with derivatives of functions of all variables: 

 (q40,q29,q27,q3,p8,p5,p3)

is replaced by e_360: 
(#) 4 terms, 5 factors, with derivatives of functions of all variables: 

 (q29,q28,q27,q2,p3)


Step 2554: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 995  2-Oct-2003 13:45:54, 60 ms (1%), 1234035 occupied, 23765906 free
Eliminate 
q37

from e_334 and e_364. e_364: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q11,q7,p8,p7,p6,p1,p2)

is replaced by e_541: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q11,q7,p8,p7,p6,p1,p2)


Step 2555: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 996  2-Oct-2003 13:46:00, 60 ms (1%), 1217550 occupied, 23782395 free
Eliminate 
q37

from e_440 and e_513. e_513: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q38,q37,q29,q28,q18,q6,q1,p8,p5,p1,p2)

is replaced by e_455: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q38,q29,q28,q18,q6,q2,q1,p8,p5,p1,p2)


Step 2556: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q32

from e_529 and e_544. e_544: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q43,q34,q32,q29,q22,q1,p8,p7,p6,p5,p2)

is replaced by e_88: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q43,q34,q29,q22,q2,q1,p8,p7,p6,p5,p2)


Step 2557: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 997  2-Oct-2003 13:46:07, 60 ms (1%), 1249117 occupied, 23750809 free
Eliminate 
q29

from e_576 and e_88. e_88: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q43,q34,q29,q22,q2,q1,p8,p7,p6,p5,p2)

is replaced by e_350: 
 6 terms, 12 factors, with derivatives of functions of all variables: 

 (q43,q34,q22,q2,q1,p7,p6,p5,p2)


Step 2558: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 998  2-Oct-2003 13:46:13, 60 ms (1%), 1264805 occupied, 23735124 free
*** Garbage collection starting 
*** GC 999  2-Oct-2003 13:46:19, 50 ms (1%), 1212614 occupied, 23787331 free
Eliminate 
q29

from e_527 and e_455. e_455: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q38,q29,q28,q18,q6,q2,q1,p8,p5,p1,p2)

is replaced by e_459: 
 7 terms, 14 factors, with derivatives of functions of all variables: 

 (q38,q28,q18,q13,q6,q2,q1,p5,p1,p2)


Step 2559: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_450 and e_547. e_547: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q38,q37,q34,q32,q18,q7,p8,p7,p6,p1,p2)

is replaced by e_244: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q38,q34,q32,q18,q13,q7,p8,p7,p6,p1,p2)


Step 2560: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_41. e_41: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q40,q38,q36,q35,q34,q9,p8,p7,p6,p3,p2)

is replaced by e_405: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q40,q38,q35,q34,q9,q7,p8,p7,p6,p3,p2)


Step 2561: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1000  2-Oct-2003 13:46:26, 50 ms (1%), 1249486 occupied, 23750449 free
Eliminate 
q37

from e_440 and e_118. e_118: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q37,q29,q28,q27,q3,q1,p7,p5,p3,p1,p2)

is replaced by e_62: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q29,q28,q27,q3,q2,q1,p7,p5,p3,p1,p2)


Step 2562: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1001  2-Oct-2003 13:46:32, 50 ms (1%), 1212772 occupied, 23787171 free
Eliminate 
q32

from e_529 and e_496. e_496: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q34,q32,q27,q22,q1,p8,p7,p6,p5,p2)

is replaced by e_523: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q34,q27,q22,q2,q1,p8,p7,p6,p5,p2)


Step 2563: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1002  2-Oct-2003 13:46:39, 60 ms (1%), 1250746 occupied, 23749180 free
*** Garbage collection starting 
*** GC 1003  2-Oct-2003 13:46:46, 50 ms (1%), 1232357 occupied, 23767587 free
Eliminate 
q28

from e_357 and e_209. e_209: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q40,q38,q28,q27,q3,q1,p8,p7,p5,p3,p2)

is replaced by e_295: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q40,q38,q27,q4,q3,q1,p8,p7,p5,p3,p2)


Step 2564: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1004  2-Oct-2003 13:46:52, 50 ms (1%), 1221046 occupied, 23778899 free
Eliminate 
q35

from e_54 and e_314. e_314: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                           2               2
 (q43,q35,q34,q27,q22,q1,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_107: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                          2               2
 (q43,q34,q27,q22,q2,q1,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2565: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1005  2-Oct-2003 13:46:59, 60 ms (1%), 1247039 occupied, 23752887 free
Eliminate 
q35

from e_484 and e_485. e_485: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                       2                  2
 (q43,q35,q27,q24,q1,p8 ,p8,p7,p6,p5,p3,p2 ,p2)

is replaced by e_531: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

                       2               2
 (q43,q27,q24,q22,q1,p8 ,p8,p7,p6,p3,p2 ,p2)


Step 2566: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1006  2-Oct-2003 13:47:06, 60 ms (1%), 1246118 occupied, 23753808 free
*** Garbage collection starting 
*** GC 1007  2-Oct-2003 13:47:13, 60 ms (1%), 1235375 occupied, 23764566 free
*** Garbage collection starting 
*** GC 1008  2-Oct-2003 13:47:20, 60 ms (1%), 1256163 occupied, 23743770 free
Eliminate 
q36

from e_265 and e_273. e_273: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q40,q38,q36,q35,q34,q11,q9,p8,p7,p6,p3,p1)

is replaced by e_3: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q40,q38,q35,q34,q11,q9,q7,p8,p7,p6,p3,p1)


Step 2567: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q37

from e_450 and e_99. e_99: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q38,q37,q35,q34,q32,q13,q9,q7,p8,p7,p6,p1)

is replaced by e_278: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q32,q13,q9,q7,p8,p7,p6,p1,p2)


Step 2568: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1009  2-Oct-2003 13:47:27, 50 ms (1%), 1259526 occupied, 23740404 free
Eliminate 
q41

from e_558 and e_253. e_253: 
 11 terms, 22 factors, with derivatives of functions of all variables: 

 (q41,q40,q37,q17,q15,q13,q12,p8,p6,p3,p1,p2)

is replaced by e_370: 
 11 terms, 22 factors, with derivatives of functions of all variables: 

 (q40,q37,q21,q17,q15,q13,q12,p8,p6,p3,p1,p2)


Step 2569: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_244 and e_278. e_278: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q32,q13,q9,q7,p8,p7,p6,p1,p2)

is replaced by e_424: 
 8 terms, 16 factors, with derivatives of functions of all variables: 

 (q35,q34,q32,q18,q13,q9,q7,p7,p6,p1,p2)


Step 2570: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1010  2-Oct-2003 13:47:34, 60 ms (1%), 1242082 occupied, 23757844 free
Eliminate 
q37

from e_440 and e_170. e_170: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q38,q37,q28,q27,q6,q4,q1,p8,p7,p5,p1,p2)

is replaced by e_434: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q6,q4,q2,q1,p8,p7,p5,p1,p2)


Step 2571: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1011  2-Oct-2003 13:47:41, 60 ms (1%), 1214859 occupied, 23785086 free
Eliminate 
q28

from e_357 and e_93. e_93: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q6,q3,q1,p8,p7,p5,p3,p1,p2)

is replaced by e_419: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q38,q27,q6,q4,q3,q1,p8,p7,p5,p3,p1,p2)


Step 2572: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_224. e_224: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                          2
 (q38,q37,q36,q35,q11,q9,p8,p7,p6,p3,p1,p2 ,p2)

is replaced by e_554: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                         2
 (q38,q37,q35,q11,q9,q7,p8,p7,p6,p3,p1,p2 ,p2)


Step 2573: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_330 and e_554. e_554: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                         2
 (q38,q37,q35,q11,q9,q7,p8,p7,p6,p3,p1,p2 ,p2)

is replaced by e_286: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                         2
 (q37,q35,q34,q11,q9,q7,p8,p7,p6,p3,p1,p2 ,p2)


Step 2574: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1012  2-Oct-2003 13:47:48, 60 ms (1%), 1213848 occupied, 23786095 free
Eliminate 
q37

from e_222 and e_286. e_286: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                         2
 (q37,q35,q34,q11,q9,q7,p8,p7,p6,p3,p1,p2 ,p2)

is replaced by e_331: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

                                  2
 (q35,q34,q11,q9,q7,p8,p7,p3,p1,p2 ,p2)


Step 2575: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1013  2-Oct-2003 13:47:56, 50 ms (1%), 1239478 occupied, 23760453 free
*** Garbage collection starting 
*** GC 1014  2-Oct-2003 13:48:03, 50 ms (1%), 1254953 occupied, 23744974 free
Eliminate 
q43

from e_479 and e_294. e_294: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q43,q34,p8,p5,p1,p2)

is replaced by e_163: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q34,q27,q2,p8,p6,p5,p2)


Step 2576: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2577: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_208 and e_39. e_39: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q43,q34,q27,q24,q1,p8,p7,p6,p5,p1,p2)

is replaced by e_449: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q43,q27,q24,q1,p8,p7,p6,p5,p1,p2)


Step 2578: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q34

from e_208 and e_523. e_523: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q34,q27,q22,q2,q1,p8,p7,p6,p5,p2)

is replaced by e_441: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q43,q27,q22,q2,q1,p8,p7,p6,p5,p2)


Step 2579: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1015  2-Oct-2003 13:48:11, 60 ms (1%), 1253059 occupied, 23746866 free
Eliminate 
q34

from e_208 and e_107. e_107: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                          2               2
 (q43,q34,q27,q22,q2,q1,p8 ,p8,p7,p6,p5,p2 ,p2)

is replaced by e_454: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                      2               2
 (q43,q27,q22,q2,q1,p8 ,p8,p7,p6,p5,p2 ,p2)


Step 2580: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1016  2-Oct-2003 13:48:18, 60 ms (1%), 1249193 occupied, 23750738 free
*** Garbage collection starting 
*** GC 1017  2-Oct-2003 13:48:26, 60 ms (1%), 1250156 occupied, 23749763 free
*** Garbage collection starting 
*** GC 1018  2-Oct-2003 13:48:33, 50 ms (1%), 1250203 occupied, 23749724 free
Eliminate 
q29

from e_527 and e_474. e_474: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q29,q28,q27,q13,q6,q3,q1,p8,p7,p5,p1,p2)

is replaced by e_569: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                                     2
 (q38,q28,q27,q6,q3,q2,q1,p7,p5,p1,p2 ,p2)


Step 2581: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_125 and e_552. e_552: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q41,q38,q36,q35,q15,q12,p8,p7,p6,p4,p3,p1,p2)

is replaced by e_444: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q36,q35,q34,q15,q12,p8,p7,p4,p3,p1,p2)


Step 2582: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_444 and e_239. e_444: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

 (q38,q36,q35,q34,q15,q12,p8,p7,p4,p3,p1,p2)

is replaced by e_285: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q36,q34,q12,p7,p4,p1,p2)


Step 2583: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_285 and e_125. e_125: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q36,q34,q12,p7,p6,p4,p1,p2)

is replaced by e_572: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q34,q12,p7,p6,p4,p2)


Step 2584: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1019  2-Oct-2003 13:48:41, 50 ms (1%), 1245316 occupied, 23754609 free
*** Garbage collection starting 
*** GC 1020  2-Oct-2003 13:48:49, 60 ms (1%), 1241876 occupied, 23758051 free
Eliminate 
q37

from e_440 and e_557. e_557: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q37,q29,q27,q17,q6,q3,p8,p5,p3,p2)

is replaced by e_573: 
 9 terms, 18 factors, with derivatives of functions of all variables: 

 (q29,q27,q17,q6,q3,q2,p8,p5,p3,p1,p2)


Step 2585: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1021  2-Oct-2003 13:48:57, 60 ms (1%), 1249550 occupied, 23750378 free
*** Garbage collection starting 
*** GC 1022  2-Oct-2003 13:49:05, 50 ms (1%), 1223577 occupied, 23776367 free
*** Garbage collection starting 
*** GC 1023  2-Oct-2003 13:49:14, 60 ms (1%), 1244795 occupied, 23755137 free
Eliminate 
q38

from e_459 and e_569. e_569: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

                                     2
 (q38,q28,q27,q6,q3,q2,q1,p7,p5,p1,p2 ,p2)

is replaced by e_193: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q28,q27,q18,q13,q3,q1,p7,p5,p1,p2)


Step 2586: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q28

from e_357 and e_193. e_193: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q28,q27,q18,q13,q3,q1,p7,p5,p1,p2)

is replaced by e_465: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q27,q18,q13,q4,q3,q1,p7,p5,p1,p2)


Step 2587: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1024  2-Oct-2003 13:49:23, 50 ms (1%), 1246829 occupied, 23753102 free
Eliminate 
q40

from e_518 and e_405. e_405: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q40,q38,q35,q34,q9,q7,p8,p7,p6,p3,p2)

is replaced by e_257: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q32,q9,q7,p8,p7,p6,p3,p1,p2)


Step 2588: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_257 and e_298. e_257: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q32,q9,q7,p8,p7,p6,p3,p1,p2)

is replaced by e_327: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q35,q34,q32,q7,p8,p7,p3,p1,p2)


Step 2589: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_327 and e_298. e_298: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q38,q35,q34,q9,q7,p8,p7,p6,p3,p1,p2)

is replaced by e_509: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q38,q34,q32,q9,q7,p8,p7,p6,p3,p1,p2)


Step 2590: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1025  2-Oct-2003 13:49:31, 60 ms (1%), 1234707 occupied, 23765234 free
Eliminate 
q40

from e_412 and e_295. e_295: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

 (q40,q38,q27,q4,q3,q1,p8,p7,p5,p3,p2)

is replaced by e_462: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q4,q3,q2,q1,p7,p5,p3,p2)


Step 2591: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1026  2-Oct-2003 13:49:40, 60 ms (1%), 1237862 occupied, 23762066 free
Eliminate 
q38

from e_419 and e_568. e_568: 
 14 terms, 42 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q4,q3,q1,p7,p5,p3,p1,p2)

is replaced by e_249: 
 13 terms, 39 factors, with derivatives of functions of all variables: 

 (q28,q27,q6,q4,q1,p8,p7,p5,p3,p1,p2)


Step 2592: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1027  2-Oct-2003 13:49:49, 50 ms (1%), 1228086 occupied, 23771858 free
*** Garbage collection starting 
*** GC 1028  2-Oct-2003 13:49:58, 60 ms (1%), 1234633 occupied, 23765307 free
*** Garbage collection starting 
*** GC 1029  2-Oct-2003 13:50:08, 50 ms (1%), 1230711 occupied, 23769233 free
Eliminate 
q35

from e_484 and e_548. e_548: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                2                  2
 (q43,q35,q24,p8 ,p8,p7,p5,p3,p1,p2 ,p2)

is replaced by e_138: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                    2                  2
 (q43,q27,q24,q22,p8 ,p8,p6,p5,p3,p1,p2 )


Step 2593: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1030  2-Oct-2003 13:50:18, 60 ms (1%), 1218276 occupied, 23781667 free
Eliminate 
q27

from e_430 and e_138. e_138: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                    2                  2
 (q43,q27,q24,q22,p8 ,p8,p6,p5,p3,p1,p2 )

is replaced by e_325: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                   2                  2
 (q43,q24,q22,q4,p8 ,p8,p6,p5,p3,p1,p2 )


Step 2594: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1031  2-Oct-2003 13:50:28, 60 ms (1%), 1239392 occupied, 23760538 free
*** Garbage collection starting 
*** GC 1032  2-Oct-2003 13:50:39, 60 ms (1%), 1236288 occupied, 23763651 free
Eliminate 
q38

from e_462 and e_419. e_462: 
 11 terms, 33 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q4,q3,q2,q1,p7,p5,p3,p2)

is replaced by e_526: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q28,q27,q6,q2,q1,p8,p7,p3,p1,p2)


Step 2595: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1033  2-Oct-2003 13:50:50, 60 ms (1%), 1236787 occupied, 23763143 free
*** Garbage collection starting 
*** GC 1034  2-Oct-2003 13:51:01, 60 ms (1%), 1228558 occupied, 23771384 free
*** Garbage collection starting 
*** GC 1035  2-Oct-2003 13:51:14, 50 ms (1%), 1217364 occupied, 23782579 free
*** Garbage collection starting 
*** GC 1036  2-Oct-2003 13:51:27, 60 ms (1%), 1224150 occupied, 23775792 free
Eliminate 
q29

from e_573 and e_410. e_410: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q38,q29,q28,q27,q17,q3,q1,p7,p5,p3,p2)

is replaced by e_256: 
 10 terms, 20 factors, with derivatives of functions of all variables: 

 (q38,q28,q27,q6,q3,q2,q1,p8,p7,p5,p3,p1,p2)


Step 2596: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1037  2-Oct-2003 13:51:41, 50 ms (1%), 1230116 occupied, 23769825 free
*** Garbage collection starting 
*** GC 1038  2-Oct-2003 13:51:57, 50 ms (1%), 1221013 occupied, 23778929 free
*** Garbage collection starting 
*** GC 1039  2-Oct-2003 13:52:17, 50 ms (1%), 1220638 occupied, 23779305 free
*** Garbage collection starting 
*** GC 1040  2-Oct-2003 13:52:47, 50 ms (1%), 1221967 occupied, 23777976 free
 --- 
Factorization to subcases leading to substitutions : 
factorizing e_18 we get the alternative equations : 
0=p7


0=q43


New level : 2.1.1.1.
CRACK is now called with the new equation e_617 : 
0=p7

e_355,e_472,e_352,e_318,e_316,e_447,e_338,e_505,e_261,e_357,e_577,e_86,e_74
 are consequences of e_617

Step 2597: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

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

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q43,q41,q40,q39,q38,q37,q36,q35,q34,q32,q29,q28,q27,q24,q22,q21,
q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p8,p7,p6,p5,p4,p3,p1,p2
New ordering: q43,q41,q40,q39,q38,q37,q36,q35,q34,q32,q29,q28,q27,q24,q22,q21,
q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p7,p6,p5,p4,p3,p1,p8,p2
e_290,e_183,e_287,e_371,e_145,e_223,e_564 are consequences of e_516

e_461 is a consequence of e_279.e_92 is a consequence of e_406
e_409,e_7 are consequences of e_445
e_408,e_489,e_549 are consequences of e_269
e_382,e_507,e_161 are consequences of e_443

Substitution of p7 found in e_617 : 
p7=0


Step 2598: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

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

e_253 is a consequence of e_269.
Substitution of q2 found in e_353 : 
q2=0


Step 2599: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 15 terms

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

e_310 is a consequence of e_144.
Substitution of q29 found in e_279 : 
q29=0


Step 2600: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

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

e_224 is a consequence of e_144.
e_467 is a consequence of e_144.
e_514 is a consequence of e_144.
e_369 is a consequence of e_144.
e_513 is a consequence of e_144.
Substitution of q43 found in e_516 : 
q43=0


Step 2601: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

Substitution of q1 found in e_406 : 
q1=0


Step 2602: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

e_565 is a consequence of e_532.
Substitution of q18 found in e_263 : 
q18=0


Step 2603: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

The list of inequalities got extended by: 
An expression with 19 terms
e_217,e_435,e_503,e_517 are consequences of e_320

e_358 is a consequence of e_144.
e_303 is a consequence of e_320.e_474 is a consequence of e_552

Substitution of q4 found in e_445 : 
q4=0


Step 2604: 
Hot list 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 q32 found in e_269 : 
q32=0


Step 2605: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 18 terms
*** Garbage collection starting 
*** GC 1041  2-Oct-2003 13:53:04, 50 ms (1%), 1222953 occupied, 23776992 free

Substitution of q13 found in e_532 : 
q13=0


Step 2606: 
Hot list 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 q36 found in e_443 : 
q36=0


Step 2607: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 7 terms

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

e_506 is a consequence of e_144.
e_294 is a consequence of e_528.
e_314 is a consequence of e_411.
Substitution of q28 found in e_320 : 
q28=0


Step 2608: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

The list of inequalities got extended by: 
An expression with 6 terms
e_554 is a consequence of e_557

e_193 is a consequence of e_144.
e_535 is a consequence of e_144.
e_482 is a consequence of e_125.
e_521 is a consequence of e_557.
e_436 is a consequence of e_144.
Substitution of q24 found in e_552 : 
q24=0


Step 2609: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

e_364 is a consequence of e_144.
e_142 is a consequence of e_144.
e_425 is a consequence of e_437.
e_444 is a consequence of e_144.
e_118 is a consequence of e_144.
e_455 is a consequence of e_125.
e_297 is a consequence of e_144.
Substitution of q22 found in e_557 : 
q22=0


Step 2610: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

e_499 is a consequence of e_524.
e_404 is a consequence of e_524.
e_404 is a consequence of e_76.
Substitution of q21 by an expression in 
q39, p4, p2 found in e_570 : 
      - 3*p4*q39
q21=-------------
         p2


Step 2611: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

Substitution of q17 by an expression in 
q39, p3, p8 found in e_215 : 
     4*p3*q39
q17=----------
        p8


Step 2612: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 5 terms

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

e_420 is a consequence of e_93.
e_420 is a consequence of e_551.
e_405 is a consequence of e_93.
Substitution of q6 by an expression in 
q27, p1, p8 found in e_411 : 
    3*p1*q27
q6=----------
       p8


Step 2613: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

Substitution of q7 by an expression in 
q38, p6, p8 found in e_520 : 
     7
    ---*p6*q38
     3
q7=------------
        p8


Step 2614: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

e_584 is a consequence of e_76.
e_585 is a consequence of e_323.
Substitution of q16 by an expression in 
q39, p3, p8 found in e_539 : 
     2*p3*q39
q16=----------
        p8


Step 2615: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

Substitution of q20 by an expression in 
q40, q35, p4, p3, p8, p2 found in e_468 : 10 factors in 3 terms

Step 2616: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

e_437 is a consequence of e_125.
e_609 is a consequence of e_498.
e_483 is a consequence of e_2.
e_82 is a consequence of e_125.
Substitution of q34 by an expression in 
q35, p8, p2 found in e_300 : 8 factors in 3 terms

Step 2617: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

e_171 is a consequence of e_205.
Substitution of q37 by an expression in 
q38, p8, p2 found in e_356 : 
     p2*q38 - p8*q38
q37=-----------------
           p2


Step 2618: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 6 terms

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

Substitution of q3 by an expression in 
q27, p3, p1, p8 found in e_107 : 7 factors in 3 terms

Step 2619: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

Substitution of q19 by an expression in 
q41, q40, q38, p4, p3, p8 found in e_476 : 9 factors in 4 terms

Step 2620: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q15 by an expression in 
q41, q40, q38, p6, p3, p1, p8 found in e_560 : 13 factors in 5 terms

Step 2621: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_564 is a consequence of e_528.
Step 2622: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2623: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2624: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2625: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2626: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2627: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2628: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_99 is a consequence of e_92

Step 2629: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_409 is a consequence of e_93.
Step 2630: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_549 is a consequence of e_93.
Step 2631: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2632: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2633: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2634: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2635: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2636: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2637: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2638: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2639: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2640: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2641: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2642: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2643: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_474 is a consequence of e_144.
Step 2644: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_445 is a consequence of e_144.
Step 2645: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_269 is a consequence of e_144.
Step 2646: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_532 is a consequence of e_144.
Step 2647: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_443 is a consequence of e_144.
Step 2648: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2649: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2650: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2651: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2652: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2653: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2654: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2655: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2656: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2657: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2658: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2659: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_142 and e_310. e_310: 

0=(q27 - q40)*p5

is replaced by e_557: 

0=p5*q27


e_557 is a consequence of e_552.
Step 2660: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1042  2-Oct-2003 13:53:07, 60 ms (1%), 1232352 occupied, 23767592 free
Eliminate 
q35

from e_473 and e_466. e_466: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q41,q35,p6,p4,p8,p2)

is replaced by e_321: 

0=p6*q41


Step 2661: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2662: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2663: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2664: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2665: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2666: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2667: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2668: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2669: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2670: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1043  2-Oct-2003 13:53:11, 60 ms (1%), 1218732 occupied, 23781212 free
Eliminate 
q38

from e_562 and e_492. e_492: 
 3 terms, 12 factors, with derivatives of functions of all variables: 

                  2      2
 (q38,q35,p6,p1,p8 ,p8,p2 ,p2)

is replaced by e_515: 

0=q35*(17*p2 + 8*p8)*p1


Step 2671: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_426 and e_363. e_363: 
 4 terms, 16 factors, with derivatives of functions of all variables: 

                  2      2
 (q38,q35,p6,p1,p8 ,p8,p2 ,p2)

is replaced by e_317: 

0=q38*p6*(21*p2 + 4*p8)


Step 2672: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_562 and e_542. e_562: 
 2 terms, 6 factors, with derivatives of functions of all variables: 

 (q38,q35,p6,p1,p8,p2)

is replaced by e_537: 

0=q35*(p2 + p8)*p1


e_537 is a consequence of e_550.
Step 2673: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_319 and e_533. e_319: 
 6 terms, 24 factors, with derivatives of functions of all variables: 

                  2      2
 (q40,q38,p3,p1,p8 ,p8,p2 ,p2)

is replaced by e_89: 

0=p3*q38


Step 2674: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2675: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2676: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2677: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2678: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2679: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q38

from e_205 and e_570. e_570: 
(#) 6 terms, 9 factors, with derivatives of functions of all variables: 

               2      2
 (q40,q38,p1,p8 ,p8,p2 ,p2)

is replaced by e_411: 

0=q40*(p2 + p8)*p1


Step 2680: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q35

from e_2 and e_264. e_264: 
 3 terms, 9 factors, with derivatives of functions of all variables: 

 (q38,q35,p4,p1,p8,p2)

is replaced by e_578: 

0=p1*q38


Step 2681: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2682: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_473 is a consequence of e_582

Step 2683: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2684: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

e_580 is a consequence of e_578.
Substitution of q12 by an expression in 
q38, p1, p8, p2 found in e_520 : 11 factors in 3 terms

Step 2685: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_587 is a consequence of e_578.
Step 2686: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_588 is a consequence of e_578.
Step 2687: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2688: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2689: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

e_593 is a consequence of e_411.
Step 2690: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2691: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_444 and e_297. e_297: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q40,q38,p4,p3,p8,p2)

is replaced by e_595: 

0=2*p3*q41 + 3*p4*q38


Step 2692: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2693: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_595 and e_598. e_598: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q40,q38,p4,p3,p8,p2)

is replaced by e_599: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q40,q38,p4,p8,p2)


Step 2694: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_426 is a consequence of e_602

Step 2695: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 1044  2-Oct-2003 13:53:15, 60 ms (1%), 1215481 occupied, 23784463 free
shortening by 1 term
e_257 is a consequence of e_604

Step 2696: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_317,e_604 are consequences of e_606

Step 2697: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_608 is a consequence of e_602.
Step 2698: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2699: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2700: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2701: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2702: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2703: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2704: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2705: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2706: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2707: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

Substitution of q9 by an expression in 
q40, q35, p6, p3, p8, p2 found in e_86 : 11 factors in 3 terms

Step 2708: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2709: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2710: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

Substitution of q11 by an expression in 
q35, p3, p8, p2 found in e_577 : 11 factors in 3 terms

Step 2711: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2712: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2713: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2714: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_18 is a consequence of e_472

Step 2715: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2716: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_620 is a consequence of e_472.
Step 2717: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

e_560 is a consequence of e_472.
e_560 is a consequence of e_2.
Step 2718: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_286 is a consequence of e_472.
Step 2719: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_564 is a consequence of e_472.
e_564 is a consequence of e_2.
Step 2720: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_534 is a consequence of e_472.
e_534 is a consequence of e_2.
Step 2721: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2722: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2723: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2724: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_138 is a consequence of e_496

Step 2725: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2726: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_411 is a consequence of e_409

Step 2727: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2728: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2729: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2730: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2731: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_278 we get the alternative equations : 
0=q27


0=p3


New level : 2.1.1.1.1.
CRACK is now called with the new equation e_533 : 
0=q27

e_551,e_456,e_559,e_617,e_144,e_93,e_358,e_552 are consequences of e_533

Step 2732: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

2*g0016*q39 + g0022*p2


p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q39,q38,q35,q27,p6,p5,p4,p3,p1,p8,p2
New ordering: q41,q40,q39,q38,q35,q27,p6,p4,p3,p1,p5,p8,p2

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

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

Substitution of q27 found in e_533 : 
q27=0


Step 2733: 
Hot list 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 16 terms

Substitution of q39 found in e_203 : 
q39=0


Step 2734: 
Hot list 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 q35 found in e_125 : 
q35=0


Step 2735: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

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

Substitution of q41 found in e_528 : 
q41=0


Step 2736: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q38,p6,p4,p3,p1,p5,p8,p2
New ordering: q38,q40,p6,p4,p3,p1,p5,p8,p2

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

Substitution of q38 found in e_92 : 
q38=0


Step 2737: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
q40=0

because of the non-vanishing expression:
q40


Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

q27


New level : 2.1.1.1.2.
CRACK is now called with the new equation e_533 : 
0=p3

e_89,e_472,e_141,e_7,e_507 are consequences of e_533

Step 2738: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 5 terms

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

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

e_339 is a consequence of e_552.e_203,e_125,e_528,e_92,e_142
 are consequences of e_339

e_215 is a consequence of e_93.e_323,e_429,e_578,e_602,e_489
 are consequences of e_215

e_421 is a consequence of e_93.
Substitution of p3 found in e_533 : 
p3=0


Step 2739: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0024*p5 + g0025*p4 + g0027*p1


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

Substitution of p6 found in e_144 : 
p6=0


Step 2740: 
Hot list 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: 

g0024*p5 + g0025*p4


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

Substitution of p1 found in e_93 : 
p1=0


Step 2741: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q39,q38,q35,q27,p5,p4,p8,p2
New ordering: q41,q40,q39,q38,q35,q27,p4,p5,p8,p2

The list of inequalities got extended by: 

q39

The lexicographical ordering of unknowns is changed
because q39 has to be non-zero, giving q39 a low priority.
Old ordering: q41,q40,q39,q38,q35,q27,p4,p5,p8,p2
New ordering: q41,q40,q38,q35,q39,q27,p4,p5,p8,p2

Substitution of p4 found in e_358 : 
p4=0


Step 2742: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
contradiction from the substitution:
p5=0

because of the non-vanishing expression:
p5


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 60 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: q43,q41,q40,q39,q38,q37,q36,q35,q34,q32,q29,q28,q27,q24,q22,q21,
q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p8,p7,p6,p5,p4,p3,p1,p2
New ordering: q43,q41,q40,q39,q38,q37,q36,q35,q34,q32,q29,q28,q27,q24,q22,q21,
q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p8,p6,p5,p4,p3,p1,p7,p2

New level : 2.1.1.2.
CRACK is now called with the new equation e_617 : 
0=q43

e_290,e_183,e_287,e_371,e_145,e_433,e_223,e_564 are consequences of e_617

Step 2743: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 19 terms

The list of inequalities got extended by: 
An expression with 15 terms
e_144 is a consequence of e_551

e_445 is a consequence of e_551.
Substitution of q43 found in e_617 : 
q43=0


Step 2744: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

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

Substitution of q2 found in e_86 : 
q2=0


Step 2745: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

Substitution of q6 found in e_74 : 
q6=0


Step 2746: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

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

e_490 is a consequence of e_576.
Substitution of q24 by an expression in 
q22 found in e_577 : 
q24=2*q22


Step 2747: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

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

e_503 is a consequence of e_7.
*** Garbage collection starting 
*** GC 1045  2-Oct-2003 13:53:19, 40 ms (1%), 1104005 occupied, 23895945 free

Substitution of q28 by an expression in 
q4 found in e_357 : 
q28=q4


Step 2748: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

e_489 is a consequence of e_497.
e_408 is a consequence of e_6.
Substitution of q32 by an expression in 
q34, p8, p2 found in e_316 : 
         4
      - ---*p8*q34
         5
q32=---------------
          p2


Step 2749: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

Substitution of q7 by an expression in 
q34, p1, p2 found in e_505 : 
        1
     - ---*p1*q34
        2
q7=---------------
         p2


Step 2750: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

e_553 is a consequence of e_76.
Substitution of q16 by an expression in 
q39, p1, p7 found in e_418 : 
     p1*q39
q16=--------
       p7


Step 2751: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 13 terms

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

Substitution of q22 by an expression in 
q34, p5, p2 found in e_338 : 
         1
      - ---*p5*q34
         5
q22=---------------
          p2


Step 2752: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 19 terms

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

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

e_286 is a consequence of e_409.
Substitution of q1 by an expression in 
q4, p7, p2 found in e_185 : 7 factors in 3 terms

Step 2753: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

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

e_312 is a consequence of e_443.
Substitution of q29 by an expression in 
q27, p8, p7, p2 found in e_277 : 
      - p2*q27 + p8*q27
q29=--------------------
             p7


Step 2754: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

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

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

e_497 is a consequence of e_498.
e_529 is a consequence of e_532.
e_274 is a consequence of e_532.
e_476 is a consequence of e_532.
e_473 is a consequence of e_532.
e_571 is a consequence of e_532.
e_313 is a consequence of e_532.
Substitution of q34 by an expression in 
q35, p8, p7, p2 found in e_352 : 14 factors in 4 terms

Step 2755: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 30 terms

Substitution of q19 by an expression in 
q41, q36, q13, p4, p1, p7 found in e_24 : 9 factors in 4 terms

Step 2756: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 32 terms

Substitution of q17 by an expression in 
q37, p8, p7, p2 found in e_486 : 8 factors in 4 terms

Step 2757: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

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

Substitution of q37 by an expression in 
q36, q13, p8, p7, p2 found in e_495 : 8 factors in 4 terms

Step 2758: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 1046  2-Oct-2003 13:53:22, 50 ms (1%), 1138257 occupied, 23861694 free

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

Substitution of q38 by an expression in 
q36, q18, q13, p7, p2 found in e_494 : 12 factors in 5 terms

Step 2759: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2760: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2761: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2762: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_357 is a consequence of e_532.
Step 2763: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2764: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2765: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_501 is a consequence of e_532.
Step 2766: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_71 is a consequence of e_532.
Step 2767: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_514 is a consequence of e_532.
Step 2768: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_369 is a consequence of e_532.
Step 2769: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_560 is a consequence of e_205.
Step 2770: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2771: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_520 is a consequence of e_559.
Step 2772: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2773: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2774: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2775: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2776: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2777: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2778: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2779: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2780: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2781: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2782: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms
e_422,e_550 are consequences of e_505

Step 2783: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_418 is a consequence of e_532.
Step 2784: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_338 is a consequence of e_532.
Step 2785: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_517 is a consequence of e_532.
Step 2786: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_364 is a consequence of e_532.
Step 2787: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_513 is a consequence of e_532.
Step 2788: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_544 is a consequence of e_532.
Step 2789: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_88 is a consequence of e_532.
Step 2790: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_455 is a consequence of e_532.
Step 2791: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_547 is a consequence of e_532.
Step 2792: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_41 is a consequence of e_532.
Step 2793: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by -1 terms

e_118 is a consequence of e_532.
Step 2794: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_496 is a consequence of e_532.
Step 2795: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_209 is a consequence of e_532.
Step 2796: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2797: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2798: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2799: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2800: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2801: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2802: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2803: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2804: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2805: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2806: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2807: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2808: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2809: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2810: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_273 is a consequence of e_538

Step 2811: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2812: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_499 is a consequence of e_7.
Step 2813: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2814: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2815: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2816: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2817: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2818: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2819: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2820: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2821: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2822: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2823: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2824: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2825: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2826: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2827: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2828: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2829: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2830: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2831: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2832: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2833: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2834: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2835: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2836: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2837: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2838: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms
e_599 is a consequence of e_144

Step 2839: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2840: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_86 is a consequence of e_7.
Step 2841: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2842: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

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

Substitution of q3 by an expression in 
q4, p1, p7, p2 found in e_467 : 10 factors in 3 terms

Step 2843: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2844: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_503 is a consequence of e_7.
e_503 is a consequence of e_409.
Step 2845: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2846: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_357 is a consequence of e_74.
Step 2847: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2848: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2849: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2850: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2851: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 2852: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2853: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2854: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2855: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2856: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2857: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2858: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 1047  2-Oct-2003 13:53:25, 40 ms (1%), 1129459 occupied, 23870489 free
shortening by 1 term

Step 2859: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2860: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2861: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2862: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2863: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2864: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2865: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2866: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2867: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_505 and e_492. e_492: 

0=(3*q27 - 2*q4)*p6

is replaced by e_418: 

0=p6*q27


e_418 is a consequence of e_443.
Step 2868: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q4

from e_409 and e_319. e_319: 

0=(q27 - q4)*(p2 - p8)

is replaced by e_565: 

0=q27*(p2 - p8)

e_179,e_279 are consequences of e_565

Step 2869: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2870: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2871: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_521 is a consequence of e_562.
Step 2872: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2873: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2874: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2875: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_455 is a consequence of e_544.
Step 2876: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2877: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2878: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2879: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_513 and e_420. e_420: 

0=(q27 - q40)*p5

is replaced by e_591: 

0=p5*q27


e_591 is a consequence of e_562.
Step 2880: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_559 and e_130. e_130: 

0=(3*q18 + q27)*p5

is replaced by e_209: 

0=p5*q27


e_209 is a consequence of e_562.
Step 2881: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q27

from e_565 and e_358. e_358: 

0=(q27 - q4)*(p2 - p8)

is replaced by e_440: 

0=q4*(p2 - p8)


e_440 is a consequence of e_409.
Step 2882: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1048  2-Oct-2003 13:53:28, 50 ms (1%), 1127374 occupied, 23872576 free
*** Garbage collection starting 
*** GC 1049  2-Oct-2003 13:53:32, 40 ms (1%), 1156020 occupied, 23843926 free
*** Garbage collection starting 
*** GC 1050  2-Oct-2003 13:53:35, 50 ms (1%), 1141000 occupied, 23858949 free
Eliminate 
q36

from e_265 and e_450. e_450: 
 7 terms, 35 factors, with derivatives of functions of all variables: 

            2            2      3   2
 (q36,q35,p8 ,p8,p6,p1,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_485: 
(#) 6 terms, 7 factors, with derivatives of functions of all variables: 

        2            2
 (q35,p8 ,p8,p1,p7,p2 ,p2)


e_485 is a consequence of e_6.
Step 2883: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1051  2-Oct-2003 13:53:39, 50 ms (1%), 1157520 occupied, 23842424 free
Eliminate 
q39

from e_525 and e_491. e_491: 
 13 terms, 52 factors, with derivatives of functions of all variables: 

                3   2         2      3   2
 (q39,q36,q13,p8 ,p8 ,p8,p1,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_306: 
 12 terms, 48 factors, with derivatives of functions of all variables: 

            3   2      2      3   2
 (q36,q13,p8 ,p8 ,p8,p7 ,p7,p2 ,p2 ,p2)


Step 2884: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1052  2-Oct-2003 13:53:42, 50 ms (1%), 1162621 occupied, 23837308 free
Eliminate 
q36

from e_265 and e_244. e_244: 
 9 terms, 45 factors, with derivatives of functions of all variables: 

                2            3   2      3   2
 (q36,q35,q13,p8 ,p8,p6,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_99: 
 7 terms, 28 factors, with derivatives of functions of all variables: 

            2            2      2
 (q35,q13,p8 ,p8,p6,p1,p7 ,p7,p2 ,p2)


Step 2885: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1053  2-Oct-2003 13:53:46, 50 ms (1%), 1146520 occupied, 23853428 free
Eliminate 
q36

from e_265 and e_334. e_334: 
 10 terms, 50 factors, with derivatives of functions of all variables: 

                    2            3   2      3   2
 (q36,q35,q13,q11,p8 ,p8,p6,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_145: 
 8 terms, 32 factors, with derivatives of functions of all variables: 

                2            2      2
 (q35,q13,q11,p8 ,p8,p6,p1,p7 ,p7,p2 ,p2)


Step 2886: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_222. e_222: 
 11 terms, 55 factors, with derivatives of functions of all variables: 

                             3   2      3   2
 (q36,q35,q13,q11,p8,p6,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_371: 
 10 terms, 40 factors, with derivatives of functions of all variables: 

                2            2      3   2
 (q35,q13,q11,p8 ,p8,p6,p1,p7 ,p7,p2 ,p2 ,p2)


Step 2887: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1054  2-Oct-2003 13:53:49, 40 ms (1%), 1148844 occupied, 23851105 free
Eliminate 
q39

from e_23 and e_601. e_601: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q41,q39,q36,q21,q13,p8,p4,p1,p7,p2)

is replaced by e_311: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q41,q36,q21,q13,p8,p4,p1,p7,p2)


Step 2888: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_606 and e_311. e_311: 
 10 terms, 30 factors, with derivatives of functions of all variables: 

 (q41,q36,q21,q13,p8,p4,p1,p7,p2)

is replaced by e_287: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q41,q21,q13,p8,p4,p1,p7,p2)


Step 2889: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_541. e_541: 
 11 terms, 55 factors, with derivatives of functions of all variables: 

                        2            3   2      3   2
 (q36,q35,q18,q13,q11,p8 ,p8,p6,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_603: 
 9 terms, 36 factors, with derivatives of functions of all variables: 

                    2            2      2
 (q35,q18,q13,q11,p8 ,p8,p6,p1,p7 ,p7,p2 ,p2)


Step 2890: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1055  2-Oct-2003 13:53:53, 50 ms (1%), 1148116 occupied, 23851831 free
Eliminate 
q36

from e_606 and e_604. e_604: 
 12 terms, 48 factors, with derivatives of functions of all variables: 

                        2               2      2
 (q41,q40,q36,q21,q13,p8 ,p8,p4,p3,p1,p7 ,p7,p2 ,p2)

is replaced by e_290: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q41,q40,q21,q13,p8,p4,p3,p1,p7,p2)


Step 2891: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1056  2-Oct-2003 13:53:57, 40 ms (1%), 1142906 occupied, 23857036 free
Eliminate 
q36

from e_265 and e_509. e_509: 
 14 terms, 70 factors, with derivatives of functions of all variables: 

                       2               3   2      3   2
 (q36,q35,q18,q13,q9,p8 ,p8,p6,p3,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_253: 
 13 terms, 52 factors, with derivatives of functions of all variables: 

                   2               2      2
 (q35,q18,q13,q9,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2)


Step 2892: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_265 and e_146. e_146: 
 14 terms, 70 factors, with derivatives of functions of all variables: 

                       2               3   2      3   2
 (q36,q35,q13,q11,q9,p8 ,p8,p6,p3,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_185: 
 12 terms, 48 factors, with derivatives of functions of all variables: 

                   2               2      2
 (q35,q13,q11,q9,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2)


Step 2893: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1057  2-Oct-2003 13:54:01, 50 ms (1%), 1141285 occupied, 23858660 free
Eliminate 
q36

from e_265 and e_415. e_415: 
 18 terms, 108 factors, with derivatives of functions of all variables: 

                       2               3   2      4   3   2
 (q40,q36,q35,q13,q9,p8 ,p8,p6,p3,p1,p7 ,p7 ,p7,p2 ,p2 ,p2 ,p2)

is replaced by e_278: 
 18 terms, 90 factors, with derivatives of functions of all variables: 

                   3   2               2      3   2
 (q40,q35,q13,q9,p8 ,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2 ,p2)


Step 2894: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_550 and e_278. e_278: 
 18 terms, 90 factors, with derivatives of functions of all variables: 

                   3   2               2      3   2
 (q40,q35,q13,q9,p8 ,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_224: 
 16 terms, 80 factors, with derivatives of functions of all variables: 

               3   2               2      3   2
 (q35,q13,q9,p8 ,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2 ,p2)


Step 2895: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_550 and e_563. e_563: 
 17 terms, 102 factors, with derivatives of functions of all variables: 

                           2            3   2      4   3   2
 (q40,q38,q36,q35,q13,q9,p8 ,p8,p6,p3,p7 ,p7 ,p7,p2 ,p2 ,p2 ,p2)

is replaced by e_93: 
 16 terms, 96 factors, with derivatives of functions of all variables: 

                       2            3   2      4   3   2
 (q38,q36,q35,q13,q9,p8 ,p8,p6,p3,p7 ,p7 ,p7,p2 ,p2 ,p2 ,p2)


Step 2896: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
Substitution of q38 by an expression in 
q36, q18, q13, p7, p2 found in e_494 : 12 factors in 5 terms

Step 2897: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1058  2-Oct-2003 13:54:05, 50 ms (1%), 1142991 occupied, 23856957 free
*** Garbage collection starting 
*** GC 1059  2-Oct-2003 13:54:10, 50 ms (1%), 1141907 occupied, 23858041 free
Eliminate 
q36

from e_265 and e_3. e_3: 
 16 terms, 80 factors, with derivatives of functions of all variables: 

                                           3   2      3   2
 (q40,q36,q35,q18,q13,q11,q9,p8,p6,p3,p1,p7 ,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_286: 
 15 terms, 60 factors, with derivatives of functions of all variables: 

                                       2      2
 (q40,q35,q18,q13,q11,q9,p8,p6,p3,p1,p7 ,p7,p2 ,p2)


Step 2898: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1060  2-Oct-2003 13:54:14, 50 ms (1%), 1135446 occupied, 23864503 free
Eliminate 
q41

from e_558 and e_546. e_546: 
 11 terms, 44 factors, with derivatives of functions of all variables: 

                                    2      2
 (q41,q36,q35,q13,q12,p8,p6,p4,p1,p7 ,p7,p2 ,p2)

is replaced by e_89: 
 11 terms, 44 factors, with derivatives of functions of all variables: 

                                    2      2
 (q36,q35,q21,q13,q12,p8,p6,p4,p1,p7 ,p7,p2 ,p2)


Step 2899: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1061  2-Oct-2003 13:54:19, 40 ms (1%), 1140551 occupied, 23859398 free
*** Garbage collection starting 
*** GC 1062  2-Oct-2003 13:54:24, 40 ms (1%), 1135918 occupied, 23864031 free
*** Garbage collection starting 
*** GC 1063  2-Oct-2003 13:54:30, 50 ms (1%), 1132438 occupied, 23867512 free
 --- 
Factorization to subcases leading to substitutions : 
*** Garbage collection starting 
*** GC 1064  2-Oct-2003 13:54:37, 40 ms (1%), 1131892 occupied, 23868058 free

factorizing e_498 we get the alternative equations : 
0=q35


0=p6


New level : 2.1.1.2.1.
CRACK is now called with the new equation e_644 : 
0=q35

e_511,e_502,e_594,e_322,e_500,e_545,e_549,e_6,e_487,e_532 are consequences of 
e_644

Step 2900: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 19 terms

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

The list of inequalities got extended by: 
An expression with 28 terms
e_611 is a consequence of e_24

Substitution of q35 found in e_644 : 
q35=0


Step 2901: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

e_223 is a consequence of e_488.
e_433 is a consequence of e_488.
Substitution of q11 found in e_24 : 
q11=0


Step 2902: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

Substitution of q12 by an expression in 
q36, p1, p7 found in e_533 : 
      10
     ----*p1*q36
      11
q12=-------------
         p7


Step 2903: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

e_497 is a consequence of e_488.
e_260 is a consequence of e_488.
Substitution of q9 by an expression in 
q13, p6, p7 found in e_564 : 
    p6*q13
q9=--------
      p7


Step 2904: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2905: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2906: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2907: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2908: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_364 is a consequence of e_488.
Step 2909: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_74 is a consequence of e_488.
Step 2910: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2911: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_556 is a consequence of e_445.
Step 2912: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_82 is a consequence of e_445.
Step 2913: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_490 is a consequence of e_445.
Step 2914: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_340 and e_468. e_468: 

0=(3*q13 - 2*q18)*p6

is replaced by e_316: 

0=p6*q13


e_316 is a consequence of e_488.
Step 2915: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_340 and e_568. e_568: 

0=(q13 + 2*q18)*p6

is replaced by e_426: 

0=p6*q13


e_426 is a consequence of e_488.
Step 2916: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_484. e_484: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q41,q36,q21,p8,p6,p1,p7,p2)

is replaced by e_455: 
 4 terms, 12 factors, with derivatives of functions of all variables: 

 (q36,q21,p8,p6,p1,p7,p2)


Step 2917: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_86. e_86: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

                                 2
 (q41,q36,q18,q15,q13,p8,p6,p1,p7 ,p7,p2)

is replaced by e_175: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

                          2
 (q36,q18,q15,q13,p8,p1,p7 ,p7,p2)


Step 2918: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_599 and e_540. e_540: 
 14 terms, 56 factors, with derivatives of functions of all variables: 

                            2            3   2      2
 (q41,q40,q36,q20,q18,q13,p8 ,p8,p6,p3,p7 ,p7 ,p7,p2 ,p2)

is replaced by e_547: 
 13 terms, 52 factors, with derivatives of functions of all variables: 

                        2            3   2      2
 (q41,q36,q20,q18,q13,p8 ,p8,p6,p3,p7 ,p7 ,p7,p2 ,p2)


Step 2919: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_416. e_416: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                                     2
 (q41,q40,q39,q36,q15,q13,p8,p6,p3,p1 ,p1,p7,p2)

is replaced by e_515: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                              2
 (q40,q39,q36,q15,q13,p8,p3,p1 ,p1,p7,p2)


Step 2920: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_567. e_567: 
 18 terms, 72 factors, with derivatives of functions of all variables: 

                            2               3   2      2
 (q41,q40,q36,q18,q15,q13,p8 ,p8,p6,p3,p1,p7 ,p7 ,p7,p2 ,p2)

is replaced by e_41: 
 17 terms, 68 factors, with derivatives of functions of all variables: 

                        2            3   2      2
 (q40,q36,q18,q15,q13,p8 ,p8,p3,p1,p7 ,p7 ,p7,p2 ,p2)


Step 2921: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : 
*** Garbage collection starting 
*** GC 1065  2-Oct-2003 13:54:41, 50 ms (1%), 1132292 occupied, 23867658 free
Eliminate 
q41

from e_608 and e_4. e_4: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                                            2
 (q41,q40,q36,q20,q18,q15,q13,p8,p6,p3,p1,p7 ,p7,p2)

is replaced by e_408: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                                     2
 (q40,q36,q20,q18,q15,q13,p8,p3,p1,p7 ,p7,p2)


Step 2922: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q40

from e_408 and e_163. e_408: 
 12 terms, 36 factors, with derivatives of functions of all variables: 

                                     2
 (q40,q36,q20,q18,q15,q13,p8,p3,p1,p7 ,p7,p2)

is replaced by e_310: 
 9 terms, 27 factors, with derivatives of functions of all variables: 

                             2
 (q36,q18,q15,q13,p8,p3,p1,p7 ,p7,p2)


Step 2923: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_139. e_139: 
 19 terms, 76 factors, with derivatives of functions of all variables: 

                                2               2      2
 (q41,q40,q39,q36,q20,q15,q13,p8 ,p8,p6,p3,p1,p7 ,p7,p2 ,p2)

is replaced by e_489: 
 19 terms, 76 factors, with derivatives of functions of all variables: 

                            2            2      2
 (q40,q39,q36,q20,q15,q13,p8 ,p8,p3,p1,p7 ,p7,p2 ,p2)


Step 2924: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_608 and e_547. e_547: 
 13 terms, 52 factors, with derivatives of functions of all variables: 

                        2            3   2      2
 (q41,q36,q20,q18,q13,p8 ,p8,p6,p3,p7 ,p7 ,p7,p2 ,p2)

is replaced by e_496: 
 13 terms, 52 factors, with derivatives of functions of all variables: 

                    2            3   2      2
 (q36,q20,q18,q13,p8 ,p8,p3,p1,p7 ,p7 ,p7,p2 ,p2)


Step 2925: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_7 we get the alternative equations : 
0=p1


0=q4


New level : 2.1.1.2.1.1.
CRACK is now called with the new equation e_491 : 
0=p1

e_538 is a consequence of e_491

Step 2926: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 12 terms

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

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

e_311 is a consequence of e_601.
e_146 is a consequence of e_509.
Substitution of p1 found in e_491 : 
p1=0


Step 2927: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 21 terms

Substitution of q15 found in e_604 : 
q15=0


Step 2928: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_579 is a consequence of e_509.
Step 2929: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

e_284 is a consequence of e_509.
Step 2930: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2931: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2932: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2933: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_352 is a consequence of e_601.
Step 2934: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 2935: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 1066  2-Oct-2003 13:54:46, 50 ms (1%), 1134475 occupied, 23865475 free

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

Substitution of q20 by an expression in 
q18, p3, p7 found in e_335 : 
      4
     ---*p3*q18
      3
q20=------------
         p7


Step 2936: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2937: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 2938: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term
e_415 is a consequence of e_584

Step 2939: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by -1 terms

Step 2940: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2941: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_563 and e_306. e_306: 
 12 terms, 48 factors, with derivatives of functions of all variables: 

            3   2      2      3   2
 (q36,q13,p8 ,p8 ,p8,p7 ,p7,p2 ,p2 ,p2)

is replaced by e_615: 

0=q13*(2*p2 + p7)*(p2 - p8)


e_615 is a consequence of e_584.
Step 2942: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q18

from e_609 and e_495. e_495: 
(#) 3 terms, 7 factors, with derivatives of functions of all variables: 

 (q40,q18,p8,p3,p7,p2)

is replaced by e_616: 

0=p3*q40


Step 2943: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2944: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q36

from e_563 and e_476. e_476: 
 14 terms, 56 factors, with derivatives of functions of all variables: 

                3   2      3   2      2
 (q36,q18,q13,p8 ,p8 ,p8,p7 ,p7 ,p7,p2 ,p2)

is replaced by e_571: 
 6 terms, 18 factors, with derivatives of functions of all variables: 

               2
 (q18,q13,p8,p7 ,p7,p2)


Step 2945: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
q41

from e_278 and e_546. e_546: 
 8 terms, 24 factors, with derivatives of functions of all variables: 

 (q41,q40,q36,q18,q13,p8,p4,p3,p7,p2)

is replaced by e_618: 
 7 terms, 21 factors, with derivatives of functions of all variables: 

 (q40,q36,q21,q18,q13,p8,p4,p3,p7,p2)


Step 2946: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_313 we get the alternative equations : 
0=p3


0=q4


New level : 2.1.1.2.1.1.1.
CRACK is now called with the new equation e_643 : 
0=p3

e_609,e_274,e_144,e_222,e_509,e_3,e_616 are consequences of e_643

Step 2947: 
Hot list of urgent steps : 
The list of inequalities got extended by: 

g0023*p6 + g0024*p5 + g0025*p4


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

e_498 is a consequence of e_537.
Substitution of p3 found in e_643 : 
p3=0


Step 2948: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_505 we get the alternative equations : 
0=p6


0=q4


New level : 2.1.1.2.1.1.1.1.
CRACK is now called with the new equation e_646 : 
0=p6

e_241,e_443,e_445,e_488,e_340,e_517,e_244,e_601 are consequences of e_646

Step 2949: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

The list of inequalities got extended by: 

g0024*p5 + g0025*p4


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

Substitution of p6 found in e_646 : 
p6=0


Step 2950: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps :  --- 
Factorization to subcases leading to substitutions : 
factorizing e_537 we get the alternative equations : 
0=p5


0=q4


New level : 2.1.1.2.1.1.1.1.1.
CRACK is now called with the new equation e_611 : 
0=p5

e_203,e_507,e_539,e_314,e_562,e_559,e_513,e_535 are consequences of e_611

Step 2951: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 10 terms

The list of inequalities got extended by: 

p4


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

Substitution of p5 found in e_611 : 
p5=0


Step 2952: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

e_644 is a consequence of e_188.
Substitution of q41 found in e_1 : 
q41=0


Step 2953: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms
e_73,e_76 are consequences of e_24

Substitution of q21 found in e_188 : 
q21=0


Step 2954: 
Hot list 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 4 terms

q27

The lexicographical ordering of unknowns is changed
because q27 has to be non-zero, giving q27 a low priority.
Old ordering: q40,q39,q36,q27,q18,q13,q4,p8,p4,p7,p2
New ordering: q40,q39,q36,q18,q13,q4,q27,p8,p4,p7,p2

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 
An expression with 11 terms
e_294 is a consequence of e_71

Substitution of q4 found in e_544 : 
q4=0


leads to a contradiction in : 7 factors in 3 terms

Time: 0 ms

Time: 0 ms

Time: 10 ms

The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q39,q36,q27,q21,q18,q13,q4,p8,p5,p4,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q18,q13,q4,p8,p4,p5,p7,p2

New level : 2.1.1.2.1.1.1.1.2.
CRACK is now called with the new equation e_611 : 
0=q4

e_294,e_536,e_409,e_544 are consequences of e_611

Step 2955: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 6 terms

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

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

e_644 is a consequence of e_562.
e_223 is a consequence of e_562.
e_433 is a consequence of e_562.
Substitution of q4 found in e_611 : 
q4=0


Step 2956: 
Hot list 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 14 terms

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

e_614 is a consequence of e_535.
Substitution of q39 found in e_203 : 
q39=0


Step 2957: 
Hot list 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_71 is a consequence of e_314.
e_585 is a consequence of e_559.
e_430 is a consequence of e_314.
e_560 is a consequence of e_314.
Substitution of q36 found in e_507 : 
q36=0


Step 2958: 
Hot list 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_564 is a consequence of e_535.
Substitution of q41 found in e_539 : 
q41=0


Step 2959: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0033*q21 + g0036*q18


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

e_533 is a consequence of e_513.
e_439 is a consequence of e_513.
e_369 is a consequence of e_559.
Substitution of q13 found in e_314 : 
q13=0


Step 2960: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0060*q40 + 2*g0062*q18


Substitution of q27 found in e_562 : 
q27=0


Step 2961: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q40,q21,q18,p8,p4,p5,p7,p2
New ordering: q40,q18,q21,p8,p4,p5,p7,p2

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q40,q18,q21,p8,p4,p5,p7,p2
New ordering: q40,q18,q21,p4,p8,p5,p7,p2

The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q18,q21,p4,p8,p5,p7,p2
New ordering: q18,q40,q21,p4,p8,p5,p7,p2

e_54 is a consequence of e_188.
Substitution of q18 found in e_559 : 
q18=0


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p6

The lexicographical ordering of unknowns is changed
because p6 has to be non-zero, giving p6 a low priority.
Old ordering: q41,q40,q39,q36,q27,q21,q18,q13,q4,p8,p6,p5,p4,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q18,q13,q4,p8,p5,p4,p6,p7,p2

New level : 2.1.1.2.1.1.1.2.
CRACK is now called with the new equation e_646 : 
0=q4

e_294,e_536,e_409,e_537,e_544 are consequences of e_646

Step 2962: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 6 terms

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

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

e_611 is a consequence of e_443.
e_644 is a consequence of e_443.
e_223 is a consequence of e_443.
Substitution of q4 found in e_646 : 
q4=0


Step 2963: 
Hot list 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 14 terms

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

e_614 is a consequence of e_601.
Substitution of q39 found in e_241 : 
q39=0


Step 2964: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q36,q27,q21,q18,q13,p8,p5,p4,p6,p7,p2
New ordering: q41,q40,q36,q27,q21,q18,q13,p8,p4,p5,p6,p7,p2

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

Substitution of q27 found in e_443 : 
q27=0


Step 2965: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 8 terms

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

e_430 is a consequence of e_488.
e_430 is a consequence of e_314.
e_560 is a consequence of e_340.
e_560 is a consequence of e_559.
e_564 is a consequence of e_488.
e_564 is a consequence of e_314.
e_586 is a consequence of e_488.
e_586 is a consequence of e_314.
Substitution of q36 found in e_507 : 
q36=0


Step 2966: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

e_587 is a consequence of e_601.
e_587 is a consequence of e_535.
Substitution of q41 found in e_539 : 
q41=0


Step 2967: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0033*q21 + g0036*q18


The list of inequalities got extended by: 

g0060*q40 + 2*g0062*q18


e_260 is a consequence of e_517.
e_260 is a consequence of e_513.
e_593 is a consequence of e_517.
e_593 is a consequence of e_513.
e_327 is a consequence of e_340.
e_327 is a consequence of e_559.
Substitution of q13 found in e_314 : 
q13=0


Step 2968: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q40,q21,q18,p8,p4,p5,p6,p7,p2
New ordering: q40,q18,q21,p8,p4,p5,p6,p7,p2

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q40,q18,q21,p8,p4,p5,p6,p7,p2
New ordering: q40,q18,q21,p4,p8,p5,p6,p7,p2

The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q18,q21,p4,p8,p5,p6,p7,p2
New ordering: q18,q40,q21,p4,p8,p5,p6,p7,p2

e_497 is a consequence of e_188.
Substitution of q18 found in e_559 : 
q18=0


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p3


New level : 2.1.1.2.1.1.2.
CRACK is now called with the new equation e_643 : 
0=q4

e_294,e_536,e_409,e_508,e_505,e_537,e_544 are consequences of e_643

Step 2969: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 16 terms

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

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

e_498 is a consequence of e_144.
e_532 is a consequence of e_144.
e_487 is a consequence of e_144.
Substitution of q4 found in e_643 : 
q4=0


Step 2970: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 

2*g0016*q39 + g0022*p2


p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q39,q36,q27,q21,q18,q13,p8,p6,p5,p4,p3,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q18,q13,p8,p6,p4,p5,p3,p7,p2

Substitution of q27 found in e_144 : 
q27=0


Step 2971: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 14 terms

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

e_645 is a consequence of e_535.
Substitution of q39 found in e_203 : 
q39=0


Step 2972: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

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

e_223 is a consequence of e_3.
e_223 is a consequence of e_314.
e_433 is a consequence of e_559.
e_614 is a consequence of e_3.
e_614 is a consequence of e_314.
Substitution of q36 found in e_507 : 
q36=0


Step 2973: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 4 terms

e_585 is a consequence of e_3.
e_585 is a consequence of e_314.
e_430 is a consequence of e_535.
Substitution of q41 found in e_539 : 
q41=0


Step 2974: 
Hot list 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: 

g0060*q40 + 2*g0062*q18


e_24 is a consequence of e_616.
e_24 is a consequence of e_513.
e_586 is a consequence of e_559.
e_586 is a consequence of e_609.
Substitution of q13 found in e_314 : 
q13=0


Step 2975: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q21

The lexicographical ordering of unknowns is changed
because q21 has to be non-zero, giving q21 a low priority.
Old ordering: q40,q21,q18,p8,p6,p4,p5,p3,p7,p2
New ordering: q40,q18,q21,p8,p6,p4,p5,p3,p7,p2

The list of inequalities got extended by: 

p8

The lexicographical ordering of unknowns is changed
because p8 has to be non-zero, giving p8 a low priority.
Old ordering: q40,q18,q21,p8,p6,p4,p5,p3,p7,p2
New ordering: q40,q18,q21,p6,p4,p8,p5,p3,p7,p2

The list of inequalities got extended by: 

p4


q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q18,q21,p6,p4,p8,p5,p3,p7,p2
New ordering: q18,q40,q21,p6,p4,p8,p5,p3,p7,p2

Substitution of q18 found in e_559 : 
q18=0


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 20 ms

The list of inequalities got extended by: 

p1


New level : 2.1.1.2.1.2.
CRACK is now called with the new equation e_491 : 
0=q4

e_294,e_536,e_409,e_508,e_505,e_537,e_313,e_544 are consequences of e_491

Step 2976: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 6 terms

The list of inequalities got extended by: 
An expression with 16 terms
*** Garbage collection starting 
*** GC 1067  2-Oct-2003 13:54:50, 50 ms (1%), 1032903 occupied, 23967046 free

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

e_244 is a consequence of e_538.
e_334 is a consequence of e_538.
e_222 is a consequence of e_538.
Substitution of q4 found in e_491 : 
q4=0


Step 2977: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

2*g0016*q39 + g0022*p2


p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q41,q40,q39,q36,q27,q21,q20,q18,q15,q13,p8,p6,p5,p4,p3,p1,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q20,q18,q15,q13,p8,p6,p4,p3,p5,p1,p7,p2

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

Substitution of q27 found in e_538 : 
q27=0


Step 2978: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

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

e_563 is a consequence of e_559.
e_494 is a consequence of e_535.
e_546 is a consequence of e_314.
Substitution of q39 found in e_203 : 
q39=0


Step 2979: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

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

e_499 is a consequence of e_539.
e_39 is a consequence of e_314.
e_339 is a consequence of e_559.
e_295 is a consequence of e_535.
e_402 is a consequence of e_314.
e_512 is a consequence of e_314.
Substitution of q36 found in e_507 : 
q36=0


Step 2980: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

e_580 is a consequence of e_535.
e_578 is a consequence of e_314.
Substitution of q41 found in e_539 : 
q41=0


Step 2981: 
Hot list 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: 

g0060*q40 + 2*g0062*q18


e_312 is a consequence of e_535.
e_264 is a consequence of e_513.
e_157 is a consequence of e_569.
e_582 is a consequence of e_535.
e_133 is a consequence of e_559.
Substitution of q13 found in e_314 : 
q13=0


Step 2982: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0033*q21 + g0034*q20 + g0039*q15


The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q21,q20,q18,q15,p8,p6,p4,p3,p5,p1,p7,p2
New ordering: q21,q20,q18,q15,q40,p8,p6,p4,p3,p5,p1,p7,p2
e_188 is a consequence of e_404

e_317 is a consequence of e_321.
e_569 is a consequence of e_321.
Substitution of q18 found in e_559 : 
q18=0


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 40 ms

The list of inequalities got extended by: 

q35

The lexicographical ordering of unknowns is changed
because q35 has to be non-zero, giving q35 a low priority.
Old ordering: q41,q40,q39,q36,q35,q27,q21,q20,q18,q15,q13,q12,q11,q9,q4,p8,p6,p5
,p4,p3,p1,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q20,q18,q15,q13,q12,q11,q9,q4,q35,p8,p6,p5
,p4,p3,p1,p7,p2

New level : 2.1.1.2.2.
CRACK is now called with the new equation e_644 : 
0=p6

e_241,e_443,e_505 are consequences of e_644

Step 2983: 
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 30 terms

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

e_488 is a consequence of e_611.
Substitution of p6 found in e_644 : 
p6=0


Step 2984: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

The list of inequalities got extended by: 

g0025*p4 + g0026*p3 + g0027*p1


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

e_508 is a consequence of e_313.
Substitution of p5 found in e_532 : 
p5=0


Step 2985: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 3 terms

e_144 is a consequence of e_538.
e_313 is a consequence of e_7.
Substitution of p3 by an expression in 
p1 found in e_487 : 
       1
p3= - ---*p1
       2


Step 2986: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2987: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2988: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 2989: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2990: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 2991: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations :  --- 
Length reducing decoupling steps : Eliminate 
p8

from e_611 and e_594. e_594: 
(#) 5 terms, 11 factors, with derivatives of functions of all variables: 

    2         2
 (p8 ,p8,p1,p7 ,p7,p2)

is replaced by e_515: 

0=p1

e_611,e_585,e_7,e_538 are consequences of e_515

Step 2992: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 20 terms

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

The list of inequalities got extended by: 

p4

The lexicographical ordering of unknowns is changed
because p4 has to be non-zero, giving p4 a low priority.
Old ordering: q41,q40,q39,q36,q27,q21,q20,q18,q15,q13,q12,q11,q9,q4,q35,p8,p4,p1
,p7,p2
New ordering: q41,q40,q39,q36,q27,q21,q20,q18,q15,q13,q12,q11,q9,q4,q35,p8,p1,p4
,p7,p2

e_591 is a consequence of e_82.e_445,e_426,e_310 are consequences of e_209
e_455,e_489 are consequences of e_485

e_468 is a consequence of e_485.
e_467 is a consequence of e_209.
e_86 is a consequence of e_209.
e_175 is a consequence of e_209.
e_334 is a consequence of e_485.
e_278 is a consequence of e_485.
Substitution of p1 found in e_515 : 
p1=0


Step 2993: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 29 terms

e_3 is a consequence of e_188.
Substitution of q41 found in e_1 : 
q41=0


Step 2994: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 19 terms
e_73,e_76 are consequences of e_273

Substitution of q21 found in e_188 : 
q21=0


Step 2995: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

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

q27

The lexicographical ordering of unknowns is changed
because q27 has to be non-zero, giving q27 a low priority.
Old ordering: q40,q39,q36,q27,q20,q18,q15,q13,q12,q11,q9,q4,q35,p8,p4,p7,p2
New ordering: q40,q39,q36,q20,q18,q15,q13,q12,q11,q9,q4,q27,q35,p8,p4,p7,p2

The list of inequalities got extended by: 

p8


The list of inequalities got extended by: 
An expression with 16 terms
e_294 is a consequence of e_524

Substitution of q4 found in e_544 : 
q4=0


leads to a contradiction in : 7 factors in 3 terms

This completes the investigation of all cases of a factorization.

This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms

Time: 60 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: q46,q43,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q29,q28,q27,
q26,q24,q22,q21,q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p10,p8,
p7,p6,p5,p4,p3,p1,p2
New ordering: q46,q43,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q29,q28,q27,
q26,q24,q22,q21,q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,q2,q1,p8,p7,
p6,p5,p4,p3,p1,p10,p2

New level : 2.1.2.
CRACK is now called with the new equation e_338 : 
0=q43

e_350,e_455,e_459,e_464,e_457,e_360,e_371,e_145,e_223 are consequences of e_338

Step 2996: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 18 terms

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

e_241 is a consequence of e_18.
e_484 is a consequence of e_363.
e_486 is a consequence of e_401.
*** Garbage collection starting 
*** GC 1068  2-Oct-2003 13:54:54, 40 ms (1%), 1116004 occupied, 23883944 free

e_516 is a consequence of e_447.
Substitution of q43 found in e_338 : 
q43=0


Step 2997: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

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

Substitution of q2 found in e_128 : 
q2=0


Step 2998: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

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

e_432 is a consequence of e_401.
e_136 is a consequence of e_401.
e_357 is a consequence of e_401.
e_54 is a consequence of e_369.
Substitution of q4 found in e_352 : 
q4=0


Step 2999: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 17 terms

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

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

e_403 is a consequence of e_18.
e_429 is a consequence of e_401.
e_481 is a consequence of e_480.
Substitution of q1 found in e_369 : 
q1=0


Step 3000: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 16 terms

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

e_277 is a consequence of e_18.
e_458 is a consequence of e_401.
e_355 is a consequence of e_480.
Substitution of q29 found in e_408 : 
q29=0


Step 3001: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

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

Substitution of q22 found in e_314 : 
q22=0


Step 3002: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

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

Substitution of q24 found in e_6 : 
q24=0


Step 3003: 
Hot list 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 6 terms

e_270 is a consequence of e_401.
e_415 is a consequence of e_401.
e_480 is a consequence of e_401.
e_283 is a consequence of e_401.
e_217 is a consequence of e_401.
e_146 is a consequence of e_401.
e_139 is a consequence of e_401.
e_253 is a consequence of e_416.
e_256 is a consequence of e_401.
e_118 is a consequence of e_401.
e_107 is a consequence of e_401.
Substitution of q27 found in e_18 : 
q27=0


Step 3004: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 12 terms

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

e_273 is a consequence of e_434.
e_90 is a consequence of e_4.
e_194 is a consequence of e_298.
e_239 is a consequence of e_4.
e_289 is a consequence of e_56.e_278,e_88 are consequences of e_290

e_82 is a consequence of e_499.
e_287 is a consequence of e_4.
e_286 is a consequence of e_56.
Substitution of q28 found in e_401 : 
q28=0


Step 3005: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

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

e_499 is a consequence of e_285.
e_41 is a consequence of e_356.
e_138 is a consequence of e_183.
e_297 is a consequence of e_300.
e_331 is a consequence of e_291.
Substitution of q6 found in e_290 : 
q6=0


Step 3006: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q17 by an expression in 
q16, q13 found in e_317 : 
     2
q17=---*q13 + 2*q16
     5


Step 3007: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

e_46 is a consequence of e_38.
Substitution of q26 by an expression in 
q46, p6, p10 found in e_11 : 
     p6*q46
q26=--------
      p10


Step 3008: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

e_150 is a consequence of e_76.
Substitution of q16 by an expression in 
q39, p6, p10 found in e_104 : 
     p6*q39
q16=--------
      p10


Step 3009: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 3 terms

p5

The lexicographical ordering of unknowns is changed
because p5 has to be non-zero, giving p5 a low priority.
Old ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q21,q20,q19,q18,
q15,q13,q12,q11,q9,q7,q3,p8,p7,p6,p5,p4,p3,p1,p10,p2
New ordering: q46,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q21,q20,q19,q18,
q15,q13,q12,q11,q9,q7,q3,p8,p7,p6,p4,p3,p1,p5,p10,p2
*** Garbage collection starting 
*** GC 1069  2-Oct-2003 13:54:57, 50 ms (1%), 1158388 occupied, 23841559 free

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

Substitution of q3 by an expression in 
q32, p5, p10 found in e_260 : 
    p5*q32
q3=--------
     p10


Step 3010: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 11 terms

The list of inequalities got extended by: 

g0018*q32 + g0022*p10


The list of inequalities got extended by: 
An expression with 16 terms
e_19,e_252,e_499,e_188 are consequences of e_138

e_312 is a consequence of e_138.
e_320 is a consequence of e_258.
e_321 is a consequence of e_258.
e_325 is a consequence of e_258.
Substitution of q39 found in e_203 : 
q39=0


Step 3011: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 10 terms

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

e_316 is a consequence of e_250.
Substitution of q46 found in e_264 : 
q46=0


Step 3012: 
Hot list 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_7 is a consequence of e_356.
e_310 is a consequence of e_356.
e_565 is a consequence of e_356.
e_13 is a consequence of e_434.
e_250 is a consequence of e_434.
e_41 is a consequence of e_434.
Substitution of q13 found in e_258 : 
q13=0


Step 3013: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 9 terms

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

e_573 is a consequence of e_284.
e_574 is a consequence of e_293.
e_295 is a consequence of e_284.
e_577 is a consequence of e_356.
e_357 is a consequence of e_328.
e_337 is a consequence of e_328.
e_290 is a consequence of e_579.
e_318 is a consequence of e_284.
e_582 is a consequence of e_335.
Substitution of q32 found in e_434 : 
q32=0


Step 3014: 
Hot list 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_10 is a consequence of e_138.
e_584 is a consequence of e_138.
Substitution of q41 found in e_4 : 
q41=0


Step 3015: 
Hot list 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_297 is a consequence of e_576.
e_579 is a consequence of e_576.
e_71 is a consequence of e_578.
e_323 is a consequence of e_293.
e_334 is a consequence of e_183.
e_39 is a consequence of e_138.
Substitution of q37 found in e_356 : 
q37=0


Step 3016: 
Hot list 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_414 is a consequence of e_284.
e_294 is a consequence of e_572.
e_439 is a consequence of e_284.e_401,e_332 are consequences of e_306

e_432 is a consequence of e_306.
Substitution of q35 found in e_293 : 
q35=0


Step 3017: 
Hot list 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_580 is a consequence of e_578.
e_567 is a consequence of e_578.
e_570 is a consequence of e_138.
Substitution of q36 found in e_285 : 
q36=0


Step 3018: 
Hot list 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_575 is a consequence of e_572.
e_566 is a consequence of e_572.e_319 is a consequence of e_553

Substitution of q31 found in e_183 : 
q31=0


Step 3019: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0060*q40 + g0062*q38 + g0067*q33


e_328 is a consequence of e_306.
e_128 is a consequence of e_306.
e_456 is a consequence of e_306.
e_322 is a consequence of e_306.
e_331 is a consequence of e_306.
Substitution of q34 found in e_284 : 
q34=0


Step 3020: 
Hot list 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_569 is a consequence of e_249.
e_333 is a consequence of e_576.
Substitution of q21 found in e_138 : 
q21=0


Step 3021: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

g0060*q40 + g0062*q38


e_558 is a consequence of e_543.
e_327 is a consequence of e_306.
e_563 is a consequence of e_564.
e_409 is a consequence of e_306.
e_523 is a consequence of e_576.
e_372 is a consequence of e_306.
e_340 is a consequence of e_306.
Substitution of q33 found in e_572 : 
q33=0


Step 3022: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 

q38

The lexicographical ordering of unknowns is changed
because q38 has to be non-zero, giving q38 a low priority.
Old ordering: q40,q38,q20,q19,q18,q15,q12,q11,q9,q7,p8,p7,p6,p4,p3,p1,p5,p10,p2
New ordering: q40,q20,q19,q18,q15,q12,q11,q9,q7,q38,p8,p7,p6,p4,p3,p1,p5,p10,p2

The list of inequalities got extended by: 

q18

The lexicographical ordering of unknowns is changed
because q18 has to be non-zero, giving q18 a low priority.
Old ordering: q40,q20,q19,q18,q15,q12,q11,q9,q7,q38,p8,p7,p6,p4,p3,p1,p5,p10,p2
New ordering: q40,q20,q19,q15,q12,q11,q9,q7,q18,q38,p8,p7,p6,p4,p3,p1,p5,p10,p2

The list of inequalities got extended by: 

q40

The lexicographical ordering of unknowns is changed
because q40 has to be non-zero, giving q40 a low priority.
Old ordering: q40,q20,q19,q15,q12,q11,q9,q7,q18,q38,p8,p7,p6,p4,p3,p1,p5,p10,p2
New ordering: q20,q19,q15,q12,q11,q9,q7,q40,q18,q38,p8,p7,p6,p4,p3,p1,p5,p10,p2

Substitution of q40 found in e_576 : 
q40=0


leads to a contradiction in : 
0=3*q38 + 2*q40


This completes the investigation of all cases of a factorization.

Time: 0 ms

Time: 0 ms
*** Garbage collection starting 
*** GC 1070  2-Oct-2003 13:55:01, 40 ms (1%), 1165474 occupied, 23834473 free

Time: 80 ms  plus GC time: 40 ms

The list of inequalities got extended by: 

p9

The lexicographical ordering of unknowns is changed
because p9 has to be non-zero, giving p9 a low priority.
Old ordering: q46,q45,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,
q29,q28,q27,q26,q24,q22,q21,q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,
q2,q1,p10,p9,p8,p7,p6,p5,p4,p3,p1,p2
New ordering: q46,q45,q43,q42,q41,q40,q39,q38,q37,q36,q35,q34,q33,q32,q31,q30,
q29,q28,q27,q26,q24,q22,q21,q20,q19,q18,q17,q16,q15,q13,q12,q11,q9,q7,q6,q4,q3,
q2,q1,p10,p8,p7,p6,p5,p4,p3,p1,p9,p2

New level : 2.2.
CRACK is now called with the new equation e_109 : 
0=q39

e_73,e_76 are consequences of e_109

Step 3023: 
Hot list of urgent steps : 
The list of inequalities got extended by: 
An expression with 27 terms

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

The list of inequalities got extended by: 
An expression with 22 terms
e_150,e_217 are consequences of e_196

e_241 is a consequence of e_18.
Substitution of q39 found in e_109 : 
q39=0


Step 3024: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

e_54 is a consequence of e_196.
e_282 is a consequence of e_196.
Substitution of q21 found in e_18 : 
q21=0


Step 3025: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q16 found in e_196 : 
q16=0


Step 3026: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

e_287 is a consequence of e_272.
Substitution of q26 by an expression in 
q43, p6, p9 found in e_375 : 
      - p6*q43
q26=-----------
        p9


Step 3027: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 22 terms

Substitution of q46 by an expression in 
q43, p10, p9 found in e_272 : 
      - p10*q43
q46=------------
         p9


Step 3028: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 23 terms

Substitution of q36 by an expression in 
q28, q4, p7, p9 found in e_94 : 
      - p7*q28 + p7*q4
q36=-------------------
            p9


Step 3029: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms

Substitution of q32 by an expression in 
q45, p8, p9, p2 found in e_259 : 10 factors in 3 terms

Step 3030: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 25 terms

Substitution of q31 by an expression in 
q43, q28, p10, p7, p9 found in e_281 : 
      - p10*q28 - p7*q43
q31=---------------------
             p9


Step 3031: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 24 terms
*** Garbage collection starting 
*** GC 1071  2-Oct-2003 13:55:04, 50 ms (1%), 1197643 occupied, 23802302 free

Substitution of q11 by an expression in 
q28, q27, p6, p9 found in e_280 : 8 factors in 3 terms

Step 3032: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 27 terms

Substitution of q34 by an expression in 
q45, p8, p9, p2 found in e_373 : 14 factors in 4 terms

Step 3033: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 26 terms

e_82 is a consequence of e_352.
Substitution of q7 by an expression in 
q43, q28, q4, p6, p1, p9 found in e_383 : 8 factors in 4 terms

Step 3034: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 28 terms

e_455 is a consequence of e_352.
Substitution of q12 by an expression in 
q43, q28, q4, p4, p1, p9 found in e_384 : 9 factors in 4 terms

Step 3035: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 34 terms

Substitution of q18 by an expression in 
q1, p7, p9, p2 found in e_130 : 8 factors in 4 terms

Step 3036: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 37 terms

Substitution of q19 by an expression in 
q41, q30, q29, q28, p5, p4, p9 found in e_17 : 12 factors in 5 terms

Step 3037: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 40 terms

Substitution of q17 by an expression in 
q2, q1, p8, p9, p2 found in e_357 : 10 factors in 5 terms

Step 3038: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3039: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 0 terms

Step 3040: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3041: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3042: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3043: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3044: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3045: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
*** Garbage collection starting 
*** GC 1072  2-Oct-2003 13:55:07, 60 ms (1%), 1249051 occupied, 23750880 free
 --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3046: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3047: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3048: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3049: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3050: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3051: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3052: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3053: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3054: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3055: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3056: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3057: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3058: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3059: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3060: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3061: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3062: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3063: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3064: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3065: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3066: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3067: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3068: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3069: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3070: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3071: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3072: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3073: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3074: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3075: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

e_280 is a consequence of e_128.
Step 3076: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3077: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3078: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3079: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3080: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3081: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 30 terms

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

Substitution of q42 by an expression in 
q45, q33, q30, p10, p7, p9, p2 found in e_150 : 18 factors in 5 terms

Step 3082: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3083: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3084: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3085: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3086: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3087: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3088: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3089: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 4 terms

Step 3090: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 3091: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 5 terms

Step 3092: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3093: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3094: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3095: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3096: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3097: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3098: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3099: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3100: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3101: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3102: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3103: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3104: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3105: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3106: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3107: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3108: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3109: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 6 terms

Step 3110: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3111: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3112: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 3 terms

Step 3113: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3114: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3115: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3116: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3117: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3118: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3119: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3120: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3121: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3122: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3123: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 1 term

Step 3124: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : shortening by 2 terms

Step 3125: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases : 
The list of inequalities got extended by: 
An expression with 32 terms

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

Substitution of q33 by an expression in 
q35, p8, p7, p2 found in e_373 : 10 factors in 3 terms

Step 3126: 
Hot list of urgent steps :  --- 
Substitution of <=2 terms, only fcts. of less vars., no cases :  --- 
Substitution of <=8 terms in <=1000 terms, alg. expressions, no cases :  --- 
Algebraic length reduction of equations : 
*** Garbage collection starting 
*** GC 1073  2-Oct-2003 13:55:10, 50 ms (1%), 1259657 occupied, 23740288 free
shortening by 2 terms

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

Time: 9170 ms  plus GC time: 160 ms

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n

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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) ***** `bu698-2-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) 
***** `bu698-2-Oct-sol_list' cannot be open for input

Time: 0 ms

9: 9: 9: 9: 
y /home/twolf/public_html/htdocs/susy/N1t7s13b4+5/N1t7s13b4+5 N1t7s13b4+5 bye$$$
$

***** Missing operator 

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