%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP745+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:40:30 EDT 2022
% Result : Theorem 68.45s 10.21s
% Output : CNFRefutation 68.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of clauses : 168 ( 138 unt; 15 nHn; 41 RR)
% Number of literals : 198 ( 197 equ; 21 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 302 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_2) ).
cnf(i_0_7,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_7) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_1) ).
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_4) ).
cnf(i_0_6,plain,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_6) ).
cnf(i_0_3,plain,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_3) ).
cnf(i_0_9,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) = mult(X1,mult(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_9) ).
cnf(i_0_8,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_8) ).
cnf(i_0_5,plain,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_5) ).
cnf(i_0_12,negated_conjecture,
mult(mult(mult(a,b),c),a) != mult(a,mult(b,mult(c,a))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o3yhtgve/input.p',i_0_12) ).
cnf(c_0_23,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_24,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
i_0_7 ).
cnf(c_0_25,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(mult(X2,X3),X2))) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_27,plain,
rd(mult(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_28,plain,
ld(mult(mult(X1,X2),ld(X2,X3)),mult(X1,mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
mult(unit,X1) = X1,
i_0_6 ).
cnf(c_0_30,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_31,plain,
ld(mult(mult(X1,X2),ld(X2,unit)),mult(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
mult(mult(X1,X2),ld(X2,unit)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27]) ).
cnf(c_0_33,plain,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_34,plain,
ld(ld(X1,unit),unit) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_23]) ).
cnf(c_0_35,plain,
mult(rd(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_36,plain,
mult(ld(X1,unit),X1) = unit,
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_37,plain,
mult(X1,mult(mult(ld(X1,X2),X3),ld(X1,X2))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_38,plain,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_39,plain,
mult(ld(X1,unit),mult(mult(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_29]) ).
cnf(c_0_40,plain,
mult(X1,rd(mult(ld(X1,unit),X2),X1)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_29]),c_0_38]) ).
cnf(c_0_41,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) = mult(X1,mult(X2,X3)) ),
i_0_9 ).
cnf(c_0_42,plain,
mult(X1,mult(mult(X2,ld(mult(X1,X2),X3)),X2)) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_43,plain,
ld(ld(X1,unit),mult(X2,X1)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_44,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
i_0_8 ).
cnf(c_0_45,plain,
rd(mult(ld(X1,unit),X2),X1) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_40]) ).
cnf(c_0_46,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| rd(mult(X1,mult(X3,X2)),X2) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_47,plain,
mult(ld(X1,unit),mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_48,plain,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_49,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_50,plain,
mult(X1,mult(rd(X2,mult(X1,X2)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_29]) ).
cnf(c_0_51,plain,
mult(mult(X1,rd(X2,X1)),X1) = ld(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_52,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X3,X2)) != mult(X1,mult(X2,X3)) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(ld(X1,X2),X1) = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_27]),c_0_36]),c_0_29]),c_0_47]) ).
cnf(c_0_54,plain,
rd(ld(ld(X1,unit),X2),X1) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_48]),c_0_49]),c_0_38]) ).
cnf(c_0_55,plain,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_23,c_0_50]) ).
cnf(c_0_56,plain,
( ld(ld(X1,unit),X2) = mult(X1,X2)
| mult(X1,mult(X1,rd(X2,X1))) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35]),c_0_35]) ).
cnf(c_0_57,plain,
( ld(ld(X1,unit),X2) = mult(X1,X2)
| mult(X1,rd(X2,X1)) = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_54]),c_0_48]),c_0_49]) ).
cnf(c_0_58,plain,
mult(rd(X1,X2),mult(mult(X2,X3),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_24,c_0_35]) ).
cnf(c_0_59,plain,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_55]) ).
cnf(c_0_60,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_61,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
mult(X1,unit) = X1,
i_0_5 ).
cnf(c_0_63,plain,
ld(rd(X1,X2),mult(mult(X1,X3),X2)) = mult(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_64,plain,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_65,plain,
rd(X1,mult(mult(X1,X2),X1)) = rd(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_59,c_0_33]) ).
cnf(c_0_66,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_48]) ).
cnf(c_0_67,plain,
ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
inference(spm,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_68,plain,
mult(ld(X1,unit),X2) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_61]),c_0_62]) ).
cnf(c_0_69,plain,
ld(rd(X1,X2),mult(X3,X2)) = mult(mult(X2,ld(X1,X3)),X2),
inference(spm,[status(thm)],[c_0_63,c_0_26]) ).
cnf(c_0_70,plain,
ld(mult(mult(X1,X2),X1),unit) = ld(X1,rd(ld(X2,unit),X1)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
mult(mult(mult(a,b),c),a) != mult(a,mult(b,mult(c,a))),
i_0_12 ).
cnf(c_0_72,plain,
ld(mult(X1,ld(X2,X3)),mult(rd(X1,X2),mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_73,plain,
rd(X1,mult(rd(X2,X3),X2)) = mult(X1,ld(X2,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,plain,
rd(X1,mult(X2,X1)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_68]),c_0_59]) ).
cnf(c_0_75,plain,
ld(mult(X1,X2),rd(X3,X2)) = ld(X2,rd(ld(X1,X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_69]),c_0_70]),c_0_48]) ).
cnf(c_0_76,plain,
ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[c_0_61,c_0_48]) ).
cnf(c_0_77,negated_conjecture,
( mult(mult(mult(a,b),a),c) = mult(mult(a,b),mult(c,a))
| mult(mult(a,b),mult(c,a)) != mult(a,mult(b,mult(c,a))) ),
inference(spm,[status(thm)],[c_0_71,c_0_41]) ).
cnf(c_0_78,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_79,plain,
ld(rd(X1,mult(X2,X3)),mult(rd(X1,X3),ld(X2,X3))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_64]),c_0_38]) ).
cnf(c_0_80,plain,
ld(rd(X1,X2),unit) = rd(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_26]) ).
cnf(c_0_81,plain,
ld(X1,rd(mult(X2,X3),X1)) = mult(ld(X1,X2),rd(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_68]),c_0_61]),c_0_76]) ).
cnf(c_0_82,plain,
( mult(mult(mult(a,b),mult(c,a)),a) = mult(mult(a,b),mult(mult(a,c),a))
| mult(mult(a,b),mult(c,a)) != mult(a,mult(b,mult(c,a))) ),
inference(spm,[status(thm)],[c_0_24,c_0_77]) ).
cnf(c_0_83,plain,
ld(rd(X1,X2),mult(X3,X2)) = mult(X2,mult(ld(X1,X3),X2)),
inference(rw,[status(thm)],[c_0_69,c_0_78]) ).
cnf(c_0_84,plain,
rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_38,c_0_68]) ).
cnf(c_0_85,plain,
ld(rd(X1,mult(mult(X2,X3),X2)),rd(rd(X1,X2),X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_33]),c_0_38]) ).
cnf(c_0_86,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_68,c_0_80]) ).
cnf(c_0_87,plain,
mult(X1,mult(ld(X1,X2),rd(X3,X1))) = rd(mult(X2,X3),X1),
inference(spm,[status(thm)],[c_0_26,c_0_81]) ).
cnf(c_0_88,plain,
( mult(mult(mult(a,b),mult(c,a)),a) = mult(mult(a,b),mult(a,mult(c,a)))
| mult(mult(a,b),mult(c,a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[c_0_82,c_0_78]) ).
cnf(c_0_89,plain,
mult(mult(X1,X2),mult(X3,X1)) = mult(X1,mult(mult(X2,X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_76]),c_0_61]),c_0_61]) ).
cnf(c_0_90,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_62]),c_0_62]) ).
cnf(c_0_91,plain,
rd(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_92,plain,
mult(rd(mult(X1,mult(X2,X1)),X3),rd(rd(X3,X1),X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_78]),c_0_86]) ).
cnf(c_0_93,plain,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_80]),c_0_49]) ).
cnf(c_0_94,plain,
rd(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,rd(X3,X1))),
inference(spm,[status(thm)],[c_0_87,c_0_23]) ).
cnf(c_0_95,plain,
( mult(mult(a,b),mult(a,mult(c,a))) = mult(a,mult(mult(b,c),mult(a,a)))
| mult(a,mult(mult(b,c),a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_78]),c_0_90]),c_0_89]) ).
cnf(c_0_96,plain,
rd(mult(X1,X2),X1) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[c_0_54,c_0_61]) ).
cnf(c_0_97,plain,
rd(mult(X1,mult(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_91,c_0_26]) ).
cnf(c_0_98,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_23,c_0_62]) ).
cnf(c_0_99,plain,
rd(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,rd(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_92]),c_0_93]),c_0_93]) ).
cnf(c_0_100,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_101,plain,
mult(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_42]) ).
cnf(c_0_102,plain,
( mult(a,mult(mult(b,c),a)) = mult(a,mult(b,mult(a,c)))
| mult(a,mult(mult(b,c),a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_62]),c_0_99]),c_0_100]),c_0_62]) ).
cnf(c_0_103,plain,
ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_48,c_0_61]) ).
cnf(c_0_104,plain,
rd(ld(X1,mult(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_27,c_0_101]) ).
cnf(c_0_105,plain,
mult(mult(X1,ld(X2,rd(X3,X1))),X1) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_69,c_0_35]) ).
cnf(c_0_106,plain,
mult(rd(X1,X2),mult(rd(X2,X3),X2)) = mult(rd(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_38]),c_0_38]) ).
cnf(c_0_107,plain,
( mult(a,mult(b,mult(c,a))) = mult(a,mult(b,mult(a,c)))
| mult(mult(b,a),c) = mult(b,mult(c,a)) ),
inference(spm,[status(thm)],[c_0_102,c_0_41]) ).
cnf(c_0_108,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(X2,X3)) != mult(X1,mult(X3,X2)) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_109,plain,
mult(ld(X1,ld(X2,unit)),X3) = ld(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_68,c_0_103]) ).
cnf(c_0_110,plain,
mult(ld(X1,X2),ld(X2,X3)) = mult(X2,ld(mult(X1,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_68]),c_0_104]),c_0_68]) ).
cnf(c_0_111,plain,
mult(X1,mult(ld(X2,rd(X3,X1)),X1)) = mult(rd(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_78]),c_0_86]) ).
cnf(c_0_112,plain,
mult(rd(X1,mult(X2,X3)),X3) = mult(rd(X1,X3),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_106,c_0_55]) ).
cnf(c_0_113,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(rw,[status(thm)],[c_0_58,c_0_78]) ).
cnf(c_0_114,plain,
mult(mult(b,a),c) = mult(b,mult(c,a)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_107]),c_0_23]),c_0_108]) ).
cnf(c_0_115,plain,
ld(mult(X1,X2),mult(X1,X3)) = ld(X1,mult(rd(X1,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_38]),c_0_86]),c_0_68]),c_0_61]) ).
cnf(c_0_116,plain,
ld(X1,mult(rd(X1,X2),X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_23,c_0_111]) ).
cnf(c_0_117,plain,
ld(X1,rd(mult(X2,X1),X3)) = mult(ld(X1,X2),rd(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_112]),c_0_103]),c_0_80]),c_0_80]),c_0_76]) ).
cnf(c_0_118,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_113,c_0_35]) ).
cnf(c_0_119,plain,
mult(rd(ld(a,c),b),mult(b,a)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_114]),c_0_115]),c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_120,plain,
mult(mult(X1,rd(X2,X1)),X1) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_51,c_0_61]) ).
cnf(c_0_121,plain,
rd(ld(a,c),b) = rd(c,mult(b,a)),
inference(spm,[status(thm)],[c_0_27,c_0_119]) ).
cnf(c_0_122,plain,
mult(rd(X1,mult(X2,X3)),X2) = mult(rd(X1,X2),rd(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_120]),c_0_33]),c_0_80]) ).
cnf(c_0_123,plain,
mult(rd(c,b),rd(b,a)) = ld(a,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_121]),c_0_122]) ).
cnf(c_0_124,plain,
mult(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_26]) ).
cnf(c_0_125,plain,
mult(mult(X1,X2),ld(X2,rd(X3,X2))) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_97,c_0_35]) ).
cnf(c_0_126,plain,
mult(mult(X1,mult(X2,rd(X1,X3))),X3) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_99]) ).
cnf(c_0_127,plain,
mult(ld(a,c),rd(a,b)) = rd(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_123]),c_0_93]) ).
cnf(c_0_128,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_78]),c_0_100]),c_0_29]) ).
cnf(c_0_129,plain,
rd(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_96]),c_0_23]) ).
cnf(c_0_130,plain,
( mult(mult(rd(X1,X2),X3),X2) = mult(rd(X1,X2),mult(X3,X2))
| mult(rd(X1,X2),mult(X3,X2)) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_131,plain,
mult(rd(a,b),mult(b,c)) = mult(c,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_118]),c_0_128]) ).
cnf(c_0_132,plain,
mult(mult(b,c),rd(a,c)) = mult(b,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_114]),c_0_129]) ).
cnf(c_0_133,plain,
( mult(mult(a,c),b) = mult(a,mult(b,c))
| mult(mult(c,a),b) = mult(mult(a,c),b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_78]),c_0_113]),c_0_78]),c_0_113]) ).
cnf(c_0_134,plain,
mult(mult(b,a),rd(c,a)) = mult(b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_132]),c_0_93]) ).
cnf(c_0_135,plain,
( mult(mult(a,c),b) = mult(a,mult(b,c))
| mult(c,a) = mult(a,c) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_133]),c_0_27]) ).
cnf(c_0_136,plain,
mult(mult(b,c),a) = mult(b,mult(a,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_134]),c_0_27]) ).
cnf(c_0_137,plain,
( mult(mult(a,b),c) = mult(a,mult(c,b))
| mult(c,a) = mult(a,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_135]),c_0_108]) ).
cnf(c_0_138,plain,
mult(mult(a,mult(b,a)),c) = mult(a,mult(b,mult(a,c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_132]),c_0_136]) ).
cnf(c_0_139,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_35]) ).
cnf(c_0_140,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_90]) ).
cnf(c_0_141,negated_conjecture,
( mult(c,a) = mult(a,c)
| mult(a,mult(mult(c,b),a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_137]),c_0_78]) ).
cnf(c_0_142,plain,
( mult(a,mult(mult(c,b),a)) = mult(a,mult(b,mult(c,a)))
| mult(a,mult(b,mult(c,a))) = mult(a,mult(b,mult(a,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_138]),c_0_114]),c_0_89]),c_0_114]) ).
cnf(c_0_143,plain,
ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_23,c_0_139]) ).
cnf(c_0_144,plain,
rd(X1,mult(X1,mult(X2,X1))) = ld(X2,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_78]),c_0_103]) ).
cnf(c_0_145,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_140,c_0_35]) ).
cnf(c_0_146,negated_conjecture,
( mult(a,mult(b,mult(c,a))) = mult(a,mult(b,mult(a,c)))
| mult(c,a) = mult(a,c) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_143,c_0_29]) ).
cnf(c_0_148,plain,
ld(X1,mult(X2,ld(X1,X2))) = mult(ld(X1,X2),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_143,c_0_30]) ).
cnf(c_0_149,plain,
ld(rd(X1,mult(X2,X1)),ld(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_55]) ).
cnf(c_0_150,negated_conjecture,
( mult(mult(mult(a,b),c),a) = mult(mult(a,b),mult(a,c))
| mult(mult(a,b),mult(c,a)) != mult(a,mult(b,mult(c,a))) ),
inference(spm,[status(thm)],[c_0_71,c_0_44]) ).
cnf(c_0_151,plain,
rd(rd(X1,X2),X1) = rd(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_35]),c_0_86]),c_0_38]) ).
cnf(c_0_152,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_145]) ).
cnf(c_0_153,plain,
( mult(b,mult(c,a)) = mult(b,mult(a,c))
| mult(c,a) = mult(a,c) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_146]),c_0_23]) ).
cnf(c_0_154,plain,
mult(mult(X1,X1),ld(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_78]),c_0_97]) ).
cnf(c_0_155,plain,
ld(rd(X1,ld(X1,X2)),X2) = mult(ld(X1,X2),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_143,c_0_26]) ).
cnf(c_0_156,plain,
mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_147,c_0_30]) ).
cnf(c_0_157,plain,
ld(rd(X1,mult(X2,X1)),mult(ld(X2,X1),X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_158,negated_conjecture,
( mult(mult(mult(a,b),c),a) = mult(mult(a,b),mult(a,c))
| mult(a,mult(mult(b,c),a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[c_0_150,c_0_89]) ).
cnf(c_0_159,plain,
mult(rd(X1,mult(X2,X2)),rd(X2,X1)) = rd(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_93]),c_0_35]),c_0_151]) ).
cnf(c_0_160,plain,
mult(rd(X1,X2),X1) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_68]) ).
cnf(c_0_161,plain,
mult(c,a) = mult(a,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_153]),c_0_23])]) ).
cnf(c_0_162,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_154,c_0_23]) ).
cnf(c_0_163,plain,
ld(mult(X1,X1),unit) = ld(X1,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_60]),c_0_156]) ).
cnf(c_0_164,plain,
mult(X1,mult(ld(X1,X2),X2)) = mult(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_74]),c_0_61]) ).
cnf(c_0_165,plain,
mult(ld(X1,rd(X2,X1)),X1) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_166,negated_conjecture,
( mult(mult(a,b),mult(a,c)) != mult(a,mult(b,mult(c,a)))
| mult(mult(a,b),mult(c,a)) != mult(a,mult(b,mult(c,a))) ),
inference(spm,[status(thm)],[c_0_71,c_0_150]) ).
cnf(c_0_167,negated_conjecture,
( mult(mult(mult(a,b),c),a) = mult(mult(a,b),mult(a,c))
| mult(a,mult(b,mult(c,a))) != mult(a,mult(b,mult(a,c))) ),
inference(rw,[status(thm)],[c_0_158,c_0_136]) ).
cnf(c_0_168,plain,
mult(rd(X1,mult(X1,mult(X2,X2))),mult(X1,X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_159]),c_0_160]),c_0_33]),c_0_38]),c_0_151]) ).
cnf(c_0_169,plain,
mult(c,mult(a,a)) = mult(a,mult(a,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_161]),c_0_78]),c_0_161]) ).
cnf(c_0_170,plain,
rd(X1,mult(X2,mult(X2,X1))) = ld(X2,ld(X2,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_162]),c_0_163]) ).
cnf(c_0_171,plain,
ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_164]),c_0_103]),c_0_76]),c_0_62]) ).
cnf(c_0_172,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_165,c_0_68]) ).
cnf(c_0_173,negated_conjecture,
( mult(mult(a,b),mult(a,c)) != mult(a,mult(b,mult(c,a)))
| mult(a,mult(mult(b,c),a)) != mult(a,mult(b,mult(c,a))) ),
inference(rw,[status(thm)],[c_0_166,c_0_89]) ).
cnf(c_0_174,negated_conjecture,
mult(mult(mult(a,b),c),a) = mult(mult(a,b),mult(a,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_161])]) ).
cnf(c_0_175,plain,
rd(c,a) = ld(a,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_161]),c_0_109]),c_0_171]),c_0_23]) ).
cnf(c_0_176,plain,
mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_172]),c_0_124]),c_0_35]) ).
cnf(c_0_177,negated_conjecture,
( mult(mult(a,b),mult(a,c)) != mult(a,mult(b,mult(c,a)))
| mult(a,mult(b,mult(c,a))) != mult(a,mult(b,mult(a,c))) ),
inference(rw,[status(thm)],[c_0_173,c_0_136]) ).
cnf(c_0_178,plain,
mult(mult(a,b),c) = mult(a,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_174]),c_0_129]),c_0_78]),c_0_175]),c_0_176]),c_0_27]) ).
cnf(c_0_179,negated_conjecture,
mult(mult(a,b),mult(a,c)) != mult(a,mult(b,mult(a,c))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_161]),c_0_161])]) ).
cnf(c_0_180,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_178]),c_0_78]),c_0_136]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP745+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 23:30:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 68.45/10.21 # ENIGMATIC: Solved by autoschedule:
% 68.45/10.21 # No SInE strategy applied
% 68.45/10.21 # Trying AutoSched0 for 150 seconds
% 68.45/10.21 # AutoSched0-Mode selected heuristic G_E___300_C01_F1_SE_CS_SP_S0Y
% 68.45/10.21 # and selection function SelectMaxLComplexAvoidPosPred.
% 68.45/10.21 #
% 68.45/10.21 # Preprocessing time : 0.022 s
% 68.45/10.21
% 68.45/10.21 # Proof found!
% 68.45/10.21 # SZS status Theorem
% 68.45/10.21 # SZS output start CNFRefutation
% See solution above
% 68.45/10.21 # Training examples: 0 positive, 0 negative
% 68.45/10.21
% 68.45/10.21 # -------------------------------------------------
% 68.45/10.21 # User time : 7.426 s
% 68.45/10.21 # System time : 0.286 s
% 68.45/10.21 # Total time : 7.712 s
% 68.45/10.21 # Maximum resident set size: 7120 pages
% 68.45/10.21
%------------------------------------------------------------------------------