TSTP Solution File: GRP685+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:40:15 EDT 2022
% Result : Theorem 8.66s 2.51s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 8
% Syntax : Number of clauses : 120 ( 115 unt; 0 nHn; 7 RR)
% Number of literals : 125 ( 124 equ; 11 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 272 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
rd(mult(X1,X1),X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_2) ).
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = mult(rd(X1,X2),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_4) ).
cnf(i_0_1,plain,
ld(X1,mult(X1,X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_1) ).
cnf(i_0_3,plain,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_3) ).
cnf(i_0_7,plain,
rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_7) ).
cnf(i_0_6,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_6) ).
cnf(i_0_5,plain,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_5) ).
cnf(i_0_8,negated_conjecture,
( rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iohv1ogr/input.p',i_0_8) ).
cnf(c_0_17,plain,
rd(mult(X1,X1),X1) = X1,
i_0_2 ).
cnf(c_0_18,plain,
rd(mult(X1,X2),X2) = mult(rd(X1,X2),X2),
i_0_4 ).
cnf(c_0_19,plain,
ld(X1,mult(X1,X1)) = X1,
i_0_1 ).
cnf(c_0_20,plain,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
i_0_3 ).
cnf(c_0_21,plain,
mult(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
i_0_7 ).
cnf(c_0_23,plain,
mult(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
i_0_6 ).
cnf(c_0_25,plain,
mult(rd(rd(X1,X1),X1),X1) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_26,plain,
mult(rd(rd(X1,X1),X2),X2) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18]),c_0_20]) ).
cnf(c_0_27,plain,
mult(X1,ld(X1,ld(X1,X1))) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_28,plain,
mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_18]),c_0_18]) ).
cnf(c_0_29,plain,
rd(X1,X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,plain,
mult(rd(mult(X1,X2),ld(X3,X3)),ld(X3,X3)) = mult(X1,mult(rd(X2,X3),X3)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
mult(rd(ld(X1,X1),X2),X2) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_32,plain,
mult(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),ld(X2,X2)) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_31]),c_0_27]) ).
cnf(c_0_33,plain,
mult(rd(X1,ld(X1,X1)),ld(X1,X1)) = rd(X1,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_34,plain,
rd(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_33]),c_0_23]) ).
cnf(c_0_35,plain,
mult(X1,mult(rd(X2,ld(X3,X3)),ld(X3,X3))) = mult(rd(mult(X1,X2),X3),X3),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_36,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_37,plain,
mult(mult(rd(X1,X2),X2),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_23]),c_0_18]) ).
cnf(c_0_38,plain,
mult(rd(mult(X1,ld(X2,X2)),X2),X2) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_36]) ).
cnf(c_0_39,plain,
mult(mult(X1,ld(X1,ld(X2,X2))),X2) = mult(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_40,plain,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
i_0_5 ).
cnf(c_0_41,plain,
mult(X1,ld(ld(X2,X2),ld(X2,X2))) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38]),c_0_31]),c_0_23]) ).
cnf(c_0_42,plain,
mult(ld(ld(X1,X1),ld(X1,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_36]) ).
cnf(c_0_43,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(mult(X1,ld(X1,X3)),X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_20]),c_0_20]) ).
cnf(c_0_44,plain,
ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_42]) ).
cnf(c_0_45,plain,
mult(mult(ld(X1,X1),ld(ld(X1,X1),X2)),X3) = mult(mult(X1,ld(X1,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_43]) ).
cnf(c_0_46,plain,
mult(mult(mult(X1,ld(X1,X2)),X3),X4) = mult(mult(X1,ld(X1,mult(X2,X3))),X4),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
cnf(c_0_47,plain,
mult(rd(mult(X1,X2),X3),X3) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_30]),c_0_35]) ).
cnf(c_0_48,plain,
mult(mult(X1,mult(X1,ld(X1,X2))),X3) = mult(mult(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_20]) ).
cnf(c_0_49,plain,
mult(X1,mult(X1,ld(X1,ld(X2,X2)))) = mult(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_23]),c_0_31]) ).
cnf(c_0_50,plain,
mult(mult(rd(X1,X2),X2),X3) = mult(mult(X1,ld(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
mult(mult(X1,ld(X2,X2)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_37,c_0_50]) ).
cnf(c_0_52,plain,
mult(rd(X1,X2),X2) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_51]),c_0_18]),c_0_47]),c_0_31]),c_0_27]) ).
cnf(c_0_53,plain,
mult(X1,mult(X2,ld(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(X2,ld(X4,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_47]),c_0_52]),c_0_52]) ).
cnf(c_0_54,plain,
mult(X1,mult(rd(X2,X3),ld(X3,X3))) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_53,c_0_23]) ).
cnf(c_0_55,plain,
mult(rd(X1,ld(X2,X2)),ld(X2,X2)) = mult(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_49]) ).
cnf(c_0_56,plain,
mult(ld(X1,X1),mult(rd(X1,X2),X2)) = mult(rd(X1,X2),X2),
inference(spm,[status(thm)],[c_0_47,c_0_36]) ).
cnf(c_0_57,plain,
mult(mult(X1,X2),ld(X3,X3)) = mult(X1,mult(X2,ld(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_52]),c_0_52]) ).
cnf(c_0_58,plain,
mult(X1,mult(X2,ld(X3,X3))) = mult(X1,rd(X2,ld(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_55]),c_0_52]) ).
cnf(c_0_59,plain,
mult(mult(X1,ld(X1,rd(X1,X2))),X2) = ld(ld(X1,X1),mult(rd(X1,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_56]),c_0_43]) ).
cnf(c_0_60,plain,
mult(mult(X1,X2),ld(X3,X3)) = mult(X1,rd(X2,ld(X3,X3))),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_39]) ).
cnf(c_0_62,plain,
ld(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_63,plain,
mult(X1,rd(rd(X2,X3),ld(X3,X3))) = mult(X1,rd(X2,X3)),
inference(rw,[status(thm)],[c_0_54,c_0_58]) ).
cnf(c_0_64,plain,
mult(ld(X1,X1),rd(X1,ld(X2,X2))) = mult(X1,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_36]) ).
cnf(c_0_65,plain,
mult(ld(X1,X1),X2) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_44]) ).
cnf(c_0_66,plain,
mult(rd(X1,X2),ld(X2,X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_36]) ).
cnf(c_0_67,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(X1,mult(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_61]),c_0_65]) ).
cnf(c_0_68,plain,
mult(X1,ld(X2,X2)) = rd(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_52]),c_0_44]) ).
cnf(c_0_69,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(rw,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_70,plain,
mult(X1,mult(X1,ld(X1,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_34]),c_0_20]) ).
cnf(c_0_71,plain,
mult(X1,ld(X1,ld(X1,X2))) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_34]) ).
cnf(c_0_72,plain,
mult(X1,ld(X1,ld(ld(X1,X1),X2))) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_65]),c_0_20]),c_0_70]),c_0_65]) ).
cnf(c_0_73,plain,
mult(X1,ld(X1,ld(ld(X1,X2),X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_69,c_0_71]) ).
cnf(c_0_74,plain,
ld(X1,ld(ld(X1,X1),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_72]),c_0_20]),c_0_71]),c_0_71]) ).
cnf(c_0_75,plain,
mult(X1,ld(X1,X2)) = ld(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_76,plain,
ld(ld(X1,X1),mult(X1,ld(X1,X2))) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_65]),c_0_61]),c_0_65]) ).
cnf(c_0_77,plain,
ld(ld(X1,X1),mult(X2,X3)) = mult(ld(ld(X1,X1),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_75]),c_0_75]) ).
cnf(c_0_78,plain,
mult(X1,ld(ld(X1,X1),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_74]),c_0_70]) ).
cnf(c_0_79,plain,
ld(ld(X1,X1),mult(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_20]),c_0_70]),c_0_70]) ).
cnf(c_0_80,plain,
ld(X1,mult(X1,X2)) = ld(ld(X1,X1),X2),
inference(rw,[status(thm)],[c_0_20,c_0_75]) ).
cnf(c_0_81,plain,
mult(ld(ld(X1,X1),X2),ld(ld(X2,X2),X3)) = mult(ld(ld(X1,X1),X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_77]) ).
cnf(c_0_82,plain,
ld(ld(ld(X1,X2),ld(X1,X2)),X3) = ld(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_75]),c_0_75]) ).
cnf(c_0_83,plain,
ld(ld(X1,X1),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_71]) ).
cnf(c_0_84,plain,
ld(X1,mult(ld(ld(X1,X1),X2),X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_85,plain,
mult(ld(ld(X1,X1),X2),ld(X2,X3)) = ld(ld(X1,X1),ld(ld(X2,X2),X3)),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_86,plain,
ld(ld(X1,X1),ld(ld(X2,X2),X3)) = ld(ld(X1,X1),X3),
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_80,c_0_81]),c_0_80]),c_0_82]),c_0_83]),c_0_82]),c_0_83]) ).
cnf(c_0_87,plain,
ld(X1,mult(X2,ld(ld(ld(X1,X1),X2),X3))) = ld(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_75]),c_0_82]),c_0_83]),c_0_74]) ).
cnf(c_0_88,plain,
mult(ld(ld(X1,X1),X2),ld(X2,X3)) = ld(ld(X1,X1),X3),
inference(rw,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
ld(X1,ld(ld(X2,X2),X3)) = ld(X1,X3),
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_87,c_0_86]),c_0_83]),c_0_65]),c_0_74]),c_0_75]),c_0_74]) ).
cnf(c_0_90,plain,
rd(mult(X1,X2),X2) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[c_0_18,c_0_52]) ).
cnf(c_0_91,plain,
mult(ld(X1,X1),ld(X2,X2)) = mult(X1,ld(X1,ld(X2,X2))),
inference(rw,[status(thm)],[c_0_31,c_0_52]) ).
cnf(c_0_92,plain,
ld(ld(ld(X1,X1),X2),X3) = ld(ld(X1,X1),ld(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_88]),c_0_89]),c_0_82]),c_0_83]) ).
cnf(c_0_93,plain,
mult(mult(X1,ld(X1,rd(X2,X3))),X3) = mult(X1,mult(ld(X1,X2),ld(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_52]),c_0_43]),c_0_57]) ).
cnf(c_0_94,plain,
rd(mult(X1,ld(X2,X2)),X2) = mult(rd(X1,X2),ld(X2,X2)),
inference(spm,[status(thm)],[c_0_90,c_0_52]) ).
cnf(c_0_95,plain,
mult(X1,ld(X1,ld(X2,X2))) = rd(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[c_0_91,c_0_68]) ).
cnf(c_0_96,plain,
ld(mult(ld(ld(X1,X1),X2),X3),X4) = ld(ld(X1,X1),ld(mult(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_92,c_0_77]) ).
cnf(c_0_97,plain,
mult(X1,ld(X1,rd(X2,ld(X3,X3)))) = mult(X1,rd(ld(X1,X2),ld(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_58]),c_0_67]),c_0_52]),c_0_68]) ).
cnf(c_0_98,plain,
rd(rd(X1,ld(X2,X2)),X2) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_66]),c_0_68]) ).
cnf(c_0_99,plain,
rd(ld(X1,X1),ld(X2,X2)) = ld(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[c_0_95,c_0_75]) ).
cnf(c_0_100,plain,
ld(X1,rd(X1,ld(X2,X2))) = rd(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_68]),c_0_95]) ).
cnf(c_0_101,plain,
ld(ld(X1,X1),ld(mult(X1,X2),X3)) = ld(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_96,c_0_62]) ).
cnf(c_0_102,plain,
rd(mult(X1,X2),ld(X3,X3)) = mult(X1,rd(X2,ld(X3,X3))),
inference(rw,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_103,plain,
mult(X1,rd(ld(X1,X2),ld(X3,X3))) = ld(ld(X1,X1),rd(X2,ld(X3,X3))),
inference(rw,[status(thm)],[c_0_97,c_0_75]) ).
cnf(c_0_104,plain,
rd(mult(X1,X2),X2) = rd(X1,ld(X2,X2)),
inference(rw,[status(thm)],[c_0_90,c_0_68]) ).
cnf(c_0_105,plain,
mult(X1,mult(ld(ld(X1,X1),X2),X3)) = mult(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_78,c_0_77]) ).
cnf(c_0_106,negated_conjecture,
( rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
i_0_8 ).
cnf(c_0_107,plain,
rd(ld(ld(X1,X1),ld(X2,X2)),X2) = rd(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_108,plain,
ld(ld(X1,X1),ld(ld(X1,X2),X3)) = ld(ld(X1,X2),X3),
inference(rw,[status(thm)],[c_0_73,c_0_75]) ).
cnf(c_0_109,plain,
ld(X1,rd(X1,ld(X2,X2))) = ld(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[c_0_100,c_0_99]) ).
cnf(c_0_110,plain,
ld(ld(mult(X1,X2),mult(X1,X2)),X3) = ld(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_101]),c_0_82]),c_0_83]) ).
cnf(c_0_111,plain,
ld(ld(X1,X1),rd(X2,ld(X3,X3))) = rd(ld(ld(X1,X1),X2),ld(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_75]),c_0_103]) ).
cnf(c_0_112,plain,
rd(ld(ld(X1,X1),X2),ld(X1,X2)) = rd(X1,ld(ld(X1,X2),ld(X1,X2))),
inference(spm,[status(thm)],[c_0_104,c_0_75]) ).
cnf(c_0_113,plain,
mult(X1,mult(X2,ld(ld(ld(X1,X1),X2),X3))) = mult(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_75]),c_0_82]),c_0_83]),c_0_78]) ).
cnf(c_0_114,negated_conjecture,
( mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0)
| mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_18]),c_0_18]),c_0_18]),c_0_18]) ).
cnf(c_0_115,plain,
rd(ld(ld(X1,X2),ld(X1,X2)),X3) = rd(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_82]),c_0_108]),c_0_82]),c_0_107]),c_0_108]) ).
cnf(c_0_116,plain,
ld(mult(X1,X2),mult(X1,rd(X2,ld(X3,X3)))) = ld(ld(X1,X1),ld(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_102]),c_0_110]) ).
cnf(c_0_117,plain,
rd(ld(ld(X1,X1),X2),ld(X2,X2)) = ld(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_44]),c_0_34]),c_0_62]) ).
cnf(c_0_118,plain,
mult(X1,ld(ld(X2,X2),X3)) = mult(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_89]),c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( mult(esk1_0,ld(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,ld(esk3_0,esk3_0))
| mult(esk1_0,ld(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(esk1_0,ld(esk3_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_52]),c_0_52]),c_0_52]),c_0_52]) ).
cnf(c_0_120,plain,
mult(X1,rd(X2,ld(rd(X3,X4),rd(X3,X4)))) = mult(X1,rd(X2,ld(X4,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_58]),c_0_58]) ).
cnf(c_0_121,plain,
rd(ld(ld(X1,X1),ld(X2,X2)),X3) = rd(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_89]),c_0_83]),c_0_92]) ).
cnf(c_0_122,plain,
ld(mult(X1,X2),mult(X1,X2)) = ld(ld(X1,X1),ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( rd(esk1_0,ld(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != rd(esk1_0,ld(esk3_0,esk3_0))
| rd(esk1_0,ld(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != rd(esk1_0,ld(esk3_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_68]),c_0_68]),c_0_68]),c_0_68]) ).
cnf(c_0_124,plain,
rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)),
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_120,c_0_121]),c_0_99]),c_0_118]),c_0_68]),c_0_121]),c_0_99]),c_0_118]),c_0_68]) ).
cnf(c_0_125,plain,
ld(ld(X1,X1),ld(X2,X2)) = ld(ld(X1,X2),ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_75]),c_0_89]),c_0_92]),c_0_108]) ).
cnf(c_0_126,negated_conjecture,
rd(esk1_0,ld(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != rd(esk1_0,ld(esk3_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_127,plain,
rd(X1,ld(ld(X2,X3),ld(X2,X3))) = rd(X1,ld(X3,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_125]),c_0_68]),c_0_68]) ).
cnf(c_0_128,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 : Tue Jun 14 06:16:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.66/2.51 # ENIGMATIC: Solved by autoschedule:
% 8.66/2.51 # No SInE strategy applied
% 8.66/2.51 # Trying AutoSched0 for 150 seconds
% 8.66/2.51 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 8.66/2.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.66/2.51 #
% 8.66/2.51 # Preprocessing time : 0.023 s
% 8.66/2.51 # Presaturation interreduction done
% 8.66/2.51
% 8.66/2.51 # Proof found!
% 8.66/2.51 # SZS status Theorem
% 8.66/2.51 # SZS output start CNFRefutation
% See solution above
% 8.66/2.51 # Training examples: 0 positive, 0 negative
% 8.66/2.51
% 8.66/2.51 # -------------------------------------------------
% 8.66/2.51 # User time : 0.085 s
% 8.66/2.51 # System time : 0.013 s
% 8.66/2.51 # Total time : 0.098 s
% 8.66/2.51 # Maximum resident set size: 7120 pages
% 8.66/2.51
%------------------------------------------------------------------------------