TSTP Solution File: GRP654+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP654+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:40:00 EDT 2022
% Result : Theorem 118.68s 16.13s
% Output : CNFRefutation 118.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of clauses : 117 ( 115 unt; 0 nHn; 4 RR)
% Number of literals : 119 ( 118 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_4) ).
cnf(i_0_5,plain,
mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_5) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_1) ).
cnf(i_0_3,plain,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_3) ).
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
( mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0
| mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hnv7edxl/lgb.p',i_0_6) ).
cnf(c_0_13,plain,
rd(mult(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_14,plain,
mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
i_0_5 ).
cnf(c_0_15,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_17,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
mult(rd(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_19,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_21,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_22,plain,
mult(mult(X1,rd(ld(X1,X2),X2)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_23,plain,
mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_25,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_26,plain,
ld(X1,mult(mult(X2,X1),ld(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_27,plain,
mult(X1,mult(rd(ld(X1,X2),X2),X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_16]) ).
cnf(c_0_28,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
cnf(c_0_29,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_30,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_31,plain,
mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_32,plain,
rd(rd(X1,X1),rd(ld(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_33,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_35,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_36,plain,
ld(X1,mult(mult(X1,X1),X2)) = mult(rd(X1,X1),mult(X1,X2)),
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_31,c_0_32]),c_0_33]),c_0_34]),c_0_29]),c_0_33]),c_0_34]) ).
cnf(c_0_37,plain,
mult(ld(X1,X1),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_16]),c_0_13]) ).
cnf(c_0_38,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_37]),c_0_13]) ).
cnf(c_0_39,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(mult(X2,X1),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_40,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_18]) ).
cnf(c_0_41,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_40]),c_0_38]) ).
cnf(c_0_42,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_43,plain,
mult(rd(X1,X1),mult(X1,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_18,c_0_41]) ).
cnf(c_0_44,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
cnf(c_0_45,plain,
mult(X1,rd(X2,mult(X1,X3))) = rd(rd(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_13,c_0_42]) ).
cnf(c_0_46,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_43]),c_0_44]) ).
cnf(c_0_47,plain,
ld(X1,rd(rd(mult(X1,X2),X3),X1)) = rd(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_45]) ).
cnf(c_0_48,plain,
rd(mult(rd(X1,X2),mult(X3,X1)),X2) = mult(mult(rd(X1,X2),X3),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_49,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
cnf(c_0_50,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_51,plain,
ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_52,plain,
rd(ld(X1,X2),mult(X1,X3)) = ld(X1,rd(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_47,c_0_16]) ).
cnf(c_0_53,plain,
mult(ld(X1,X2),rd(ld(X1,X3),X3)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_29]),c_0_29]),c_0_35]),c_0_13]) ).
cnf(c_0_54,plain,
mult(rd(rd(X1,X1),X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_55,plain,
ld(X1,mult(mult(X2,X1),rd(X1,X1))) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_23,c_0_44]) ).
cnf(c_0_56,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_49]) ).
cnf(c_0_57,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_44]) ).
cnf(c_0_58,plain,
ld(X1,rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_51,c_0_38]) ).
cnf(c_0_59,plain,
ld(ld(X1,rd(rd(X2,X3),X1)),X4) = mult(X1,mult(rd(X3,X2),mult(X1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_52]),c_0_19]),c_0_14]) ).
cnf(c_0_60,plain,
mult(ld(X1,X2),rd(rd(X1,X1),X1)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_13]) ).
cnf(c_0_61,plain,
mult(mult(X1,rd(X2,X1)),X1) = rd(mult(X1,X2),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_62,plain,
rd(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_63,plain,
mult(ld(mult(X1,X1),X1),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_45]),c_0_46]),c_0_13]),c_0_57]) ).
cnf(c_0_64,plain,
rd(rd(X1,X1),X1) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_13]),c_0_58]) ).
cnf(c_0_65,plain,
ld(ld(X1,rd(X2,X1)),X3) = mult(X1,ld(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_29]) ).
cnf(c_0_66,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,rd(rd(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_67,plain,
rd(X1,rd(rd(X1,X1),rd(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_18]),c_0_44]),c_0_18]) ).
cnf(c_0_68,plain,
ld(mult(X1,X1),X1) = rd(rd(X1,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_63]),c_0_64]) ).
cnf(c_0_69,plain,
mult(X1,ld(mult(X1,X2),mult(X1,X3))) = ld(mult(X2,rd(rd(X1,X1),X1)),X3),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
mult(X1,rd(rd(X1,X1),rd(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_67]) ).
cnf(c_0_71,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_72,plain,
rd(X1,rd(rd(X1,X1),X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_68]) ).
cnf(c_0_73,plain,
ld(mult(X1,rd(rd(X2,X2),X2)),X1) = rd(rd(mult(X2,mult(X2,X1)),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_38]),c_0_45]) ).
cnf(c_0_74,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_70]),c_0_38]) ).
cnf(c_0_75,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_76,plain,
mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,ld(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_13,c_0_71]) ).
cnf(c_0_77,plain,
rd(X1,mult(rd(X2,X3),X1)) = rd(X3,X2),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_78,plain,
ld(ld(X1,X2),ld(X1,mult(mult(X2,X1),X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_79,plain,
rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_72,c_0_64]) ).
cnf(c_0_80,plain,
mult(rd(X1,X2),rd(X2,X1)) = rd(rd(X1,X2),rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_13]) ).
cnf(c_0_81,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_82,plain,
mult(mult(rd(X1,X2),X3),rd(X1,X2)) = mult(rd(X1,X2),rd(X3,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_33]),c_0_33]),c_0_13]),c_0_33]) ).
cnf(c_0_83,plain,
ld(mult(X1,rd(X2,X2)),X1) = rd(rd(X1,X1),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_74]),c_0_75]) ).
cnf(c_0_84,plain,
mult(rd(X1,mult(X2,X1)),mult(X2,X3)) = X3,
inference(spm,[status(thm)],[c_0_75,c_0_13]) ).
cnf(c_0_85,plain,
ld(X1,rd(rd(X2,ld(X1,X3)),X1)) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_20,c_0_76]) ).
cnf(c_0_86,plain,
rd(X1,mult(X2,X1)) = rd(ld(X2,X3),X3),
inference(spm,[status(thm)],[c_0_77,c_0_34]) ).
cnf(c_0_87,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_78,c_0_16]) ).
cnf(c_0_88,plain,
ld(X1,rd(ld(X1,X2),X2)) = rd(rd(ld(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_29]),c_0_34]),c_0_29]) ).
cnf(c_0_89,plain,
mult(X1,rd(rd(X1,X1),X1)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_80,c_0_62]) ).
cnf(c_0_90,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_29,c_0_20]) ).
cnf(c_0_91,plain,
mult(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)) = mult(rd(X1,X2),mult(mult(X3,rd(X2,X1)),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_33]),c_0_33]) ).
cnf(c_0_92,plain,
mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),rd(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),mult(X1,mult(X2,mult(X1,mult(X1,X2)))))))) = mult(X1,mult(X2,mult(X1,mult(X1,X2)))),
inference(spm,[status(thm)],[c_0_44,c_0_81]) ).
cnf(c_0_93,plain,
rd(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)) = mult(rd(X1,X2),rd(rd(X3,X4),rd(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_82]) ).
cnf(c_0_94,plain,
mult(mult(X1,rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2))) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_83]) ).
cnf(c_0_95,plain,
mult(mult(X1,rd(X2,X3)),mult(rd(X3,X2),X4)) = mult(rd(X2,X3),mult(mult(rd(X3,X2),X1),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_33]) ).
cnf(c_0_96,plain,
mult(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_53,c_0_20]) ).
cnf(c_0_97,plain,
mult(rd(rd(X1,X1),X1),mult(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_84,c_0_44]) ).
cnf(c_0_98,plain,
ld(X1,mult(rd(X2,ld(X1,X3)),X4)) = mult(rd(ld(X1,X2),X3),mult(X1,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_85]),c_0_18]) ).
cnf(c_0_99,plain,
rd(rd(X1,X1),X1) = rd(ld(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_52]),c_0_34]),c_0_58]) ).
cnf(c_0_100,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_38,c_0_87]) ).
cnf(c_0_101,plain,
mult(X1,rd(rd(ld(X2,X3),X3),X2)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_16]),c_0_88]) ).
cnf(c_0_102,plain,
rd(rd(rd(X1,X1),X1),rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_64,c_0_89]) ).
cnf(c_0_103,plain,
mult(rd(X1,mult(mult(X2,rd(X3,X3)),X1)),X2) = rd(rd(X2,X2),rd(X3,X3)),
inference(spm,[status(thm)],[c_0_90,c_0_83]) ).
cnf(c_0_104,plain,
mult(mult(rd(X1,X1),X2),X2) = mult(rd(X1,X1),mult(X2,X2)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_75]),c_0_75]),c_0_75]),c_0_93]),c_0_41]),c_0_91]),c_0_94]),c_0_95]),c_0_75]) ).
cnf(c_0_105,plain,
mult(rd(X1,X2),rd(X1,X2)) = rd(rd(X1,X2),rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_13]) ).
cnf(c_0_106,plain,
mult(X1,rd(X2,rd(rd(X1,X1),X1))) = mult(mult(X1,X2),X1),
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_96,c_0_97]),c_0_33]),c_0_62]),c_0_13]),c_0_33]),c_0_62]) ).
cnf(c_0_107,plain,
ld(X1,ld(ld(X1,X2),X3)) = ld(mult(X2,X1),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_29]),c_0_100]),c_0_20]),c_0_29]) ).
cnf(c_0_108,plain,
mult(X1,rd(rd(rd(X2,X2),X2),X2)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_58]),c_0_102]) ).
cnf(c_0_109,plain,
rd(X1,rd(rd(X1,X1),rd(X2,X2))) = mult(X1,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_83]) ).
cnf(c_0_110,plain,
rd(rd(X1,X1),rd(X2,X2)) = rd(X1,X1),
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_103,c_0_104]),c_0_80]),c_0_74]),c_0_77]),c_0_105]),c_0_74]),c_0_74]) ).
cnf(c_0_111,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,rd(rd(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_20,c_0_106]) ).
cnf(c_0_112,plain,
mult(mult(X1,X1),rd(X2,mult(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_79]) ).
cnf(c_0_113,plain,
ld(mult(X1,X1),mult(X1,X2)) = ld(X1,mult(rd(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_38]),c_0_33]) ).
cnf(c_0_114,plain,
mult(rd(X1,X1),mult(X1,X2)) = mult(X1,mult(rd(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_44]),c_0_33]),c_0_33]),c_0_18]) ).
cnf(c_0_115,plain,
rd(rd(X1,X1),mult(X1,X1)) = rd(rd(rd(X1,X1),X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_68]),c_0_41]) ).
cnf(c_0_116,plain,
rd(rd(rd(X1,X2),X2),rd(rd(rd(X2,X2),X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0
| mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0 ),
i_0_6 ).
cnf(c_0_118,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_62]) ).
cnf(c_0_119,plain,
rd(rd(X1,mult(X2,X1)),rd(rd(rd(X2,X2),X2),X2)) = X2,
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_111,c_0_112]),c_0_113]),c_0_114]),c_0_18]),c_0_20]),c_0_41]),c_0_115]) ).
cnf(c_0_120,plain,
rd(rd(X1,X2),rd(rd(rd(X2,X2),X2),X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_13]) ).
cnf(c_0_121,negated_conjecture,
mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_122,plain,
mult(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_120]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP654+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 16:00:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 # ENIGMATIC: Selected complete mode:
% 118.68/16.13 # ENIGMATIC: Solved by autoschedule-lgb:
% 118.68/16.13 # No SInE strategy applied
% 118.68/16.13 # Trying AutoSched0 for 150 seconds
% 118.68/16.13 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 118.68/16.13 # and selection function SelectComplexExceptUniqMaxHorn.
% 118.68/16.13 #
% 118.68/16.13 # Preprocessing time : 0.023 s
% 118.68/16.13 # Presaturation interreduction done
% 118.68/16.13
% 118.68/16.13 # Proof found!
% 118.68/16.13 # SZS status Theorem
% 118.68/16.13 # SZS output start CNFRefutation
% See solution above
% 118.68/16.13 # Training examples: 0 positive, 0 negative
% 118.68/16.13
% 118.68/16.13 # -------------------------------------------------
% 118.68/16.13 # User time : 13.381 s
% 118.68/16.13 # System time : 0.586 s
% 118.68/16.13 # Total time : 13.967 s
% 118.68/16.13 # Maximum resident set size: 7124 pages
% 118.68/16.13
%------------------------------------------------------------------------------