%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP685+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:45 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 8
% Syntax : Number of formulae : 92 ( 86 unt; 0 def)
% Number of atoms : 98 ( 97 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 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 : 201 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [X1] : ld(X1,mult(X1,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f03,axiom,
! [X2,X1] : mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f07,axiom,
! [X2,X1] : ld(X1,mult(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f04,axiom,
! [X2,X1] : mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f02,axiom,
! [X1] : rd(mult(X1,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f05,axiom,
! [X3,X4,X2,X1] : ld(ld(X1,X2),mult(ld(X1,X2),mult(X4,X3))) = mult(ld(X1,mult(X1,X4)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f06,axiom,
! [X3,X4,X2,X1] : rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3)) = mult(X1,rd(mult(X2,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(goals,conjecture,
! [X5,X6,X7] :
( rd(mult(X5,rd(X6,X7)),rd(X6,X7)) = rd(mult(X5,X7),X7)
& rd(mult(X5,ld(X6,X7)),ld(X6,X7)) = rd(mult(X5,X7),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c_0_8,plain,
! [X8] : ld(X8,mult(X8,X8)) = X8,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_9,plain,
! [X10,X11] : mult(X11,ld(X11,X10)) = ld(X11,mult(X11,X10)),
inference(variable_rename,[status(thm)],[f03]) ).
fof(c_0_10,plain,
! [X22,X23] : ld(X23,mult(X23,ld(X22,X22))) = rd(mult(rd(X23,X23),X22),X22),
inference(variable_rename,[status(thm)],[f07]) ).
fof(c_0_11,plain,
! [X12,X13] : mult(rd(X13,X12),X12) = rd(mult(X13,X12),X12),
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_12,plain,
! [X9] : rd(mult(X9,X9),X9) = X9,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_13,plain,
ld(X1,mult(X1,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
ld(X1,mult(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X14,X15,X16,X17] : ld(ld(X17,X16),mult(ld(X17,X16),mult(X15,X14))) = mult(ld(X17,mult(X17,X15)),X14),
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_18,plain,
rd(mult(X1,X1),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
mult(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
mult(X1,ld(X1,ld(X2,X2))) = mult(rd(rd(X1,X1),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).
cnf(c_0_21,plain,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
mult(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_23,plain,
mult(rd(rd(X1,X1),X1),X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_19]),c_0_20]) ).
cnf(c_0_24,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_21,c_0_14]),c_0_14]) ).
cnf(c_0_25,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
mult(rd(X1,X1),ld(rd(X1,X1),mult(X2,X3))) = mult(mult(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
mult(X1,ld(X1,rd(X2,X2))) = mult(rd(rd(X1,X1),X2),X2),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_28,plain,
mult(rd(X1,X1),mult(rd(X1,X1),ld(rd(X1,X1),X2))) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_27]),c_0_23]),c_0_25]) ).
cnf(c_0_29,plain,
mult(rd(X1,X1),ld(rd(X1,X1),X1)) = ld(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_30,plain,
ld(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29]),c_0_22]) ).
cnf(c_0_31,plain,
mult(mult(rd(X1,X1),ld(rd(X1,X1),X2)),X3) = mult(X1,ld(X1,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_32,plain,
mult(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_33,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_31,c_0_30]),c_0_22]),c_0_14]) ).
fof(c_0_34,plain,
! [X18,X19,X20,X21] : rd(mult(mult(X21,X20),rd(X19,X18)),rd(X19,X18)) = mult(X21,rd(mult(X20,X18),X18)),
inference(variable_rename,[status(thm)],[f06]) ).
cnf(c_0_35,plain,
mult(X1,ld(X1,mult(rd(X1,X1),X2))) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_32]) ).
cnf(c_0_36,plain,
mult(X1,mult(rd(rd(X1,X1),X2),X2)) = mult(X1,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_27]) ).
cnf(c_0_37,plain,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
mult(rd(rd(X1,X1),rd(X1,X1)),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_27]),c_0_22]) ).
cnf(c_0_39,plain,
mult(X1,rd(rd(X1,X1),rd(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_32]) ).
cnf(c_0_40,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_37,c_0_16]),c_0_16]) ).
cnf(c_0_41,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_38]),c_0_39]) ).
cnf(c_0_42,plain,
mult(X1,mult(rd(X2,rd(X3,X3)),rd(X3,X3))) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_40]) ).
cnf(c_0_43,plain,
mult(mult(X1,ld(X1,X2)),X3) = mult(X1,ld(X1,mult(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_26]),c_0_31]) ).
cnf(c_0_44,plain,
mult(X1,mult(rd(mult(X2,X3),X4),X4)) = mult(X1,mult(X2,mult(rd(X3,X4),X4))),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_45,plain,
rd(mult(X1,ld(X1,mult(X2,X3))),X3) = mult(rd(mult(X1,ld(X1,X2)),X3),X3),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_46,plain,
mult(X1,mult(rd(X2,X3),X3)) = mult(X1,mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_32]),c_0_36]) ).
cnf(c_0_47,plain,
rd(mult(X1,ld(X1,X2)),rd(X2,X2)) = mult(X1,mult(rd(ld(X1,X2),X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_32]),c_0_40]) ).
cnf(c_0_48,plain,
mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,mult(X2,rd(X4,X4))),
inference(rw,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_49,plain,
rd(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_30]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_50,plain,
mult(rd(mult(X1,X2),X3),X3) = mult(X1,mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]) ).
cnf(c_0_51,plain,
mult(X1,mult(rd(X1,X1),rd(X2,X2))) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_52,plain,
mult(X1,ld(X1,mult(rd(X2,X2),X3))) = mult(mult(rd(rd(X1,X1),X2),X2),X3),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_53,plain,
mult(rd(X1,X2),X2) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_51]) ).
cnf(c_0_54,plain,
mult(mult(rd(rd(X1,X1),X2),X2),X2) = mult(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_52,c_0_22]) ).
cnf(c_0_55,plain,
mult(rd(rd(X1,X1),X2),X2) = mult(rd(X1,X1),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_51]),c_0_14]),c_0_27]),c_0_35]) ).
cnf(c_0_56,plain,
rd(mult(X1,X2),X2) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_57,plain,
mult(mult(X1,X2),rd(X3,X3)) = mult(X1,mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_58,plain,
mult(mult(rd(X1,X1),rd(X2,X2)),X2) = mult(X1,ld(X1,X2)),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
mult(mult(X1,rd(X2,X2)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_57]),c_0_32]) ).
cnf(c_0_60,plain,
mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4))) = mult(X1,ld(X1,mult(X3,X4))),
inference(rw,[status(thm)],[c_0_24,c_0_43]) ).
cnf(c_0_61,plain,
mult(X1,ld(X1,X2)) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
mult(ld(X1,X2),ld(ld(X1,X2),X3)) = mult(X1,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_63,plain,
mult(X1,mult(ld(X1,X2),rd(X3,X3))) = rd(mult(rd(X1,X1),mult(X2,X3)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_50]),c_0_61]) ).
cnf(c_0_64,plain,
mult(X1,ld(X1,ld(X1,X2))) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_32]) ).
fof(c_0_65,negated_conjecture,
~ ! [X5,X6,X7] :
( rd(mult(X5,rd(X6,X7)),rd(X6,X7)) = rd(mult(X5,X7),X7)
& rd(mult(X5,ld(X6,X7)),ld(X6,X7)) = rd(mult(X5,X7),X7) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_66,plain,
rd(mult(rd(X1,X1),mult(X2,X3)),X3) = mult(rd(X1,X1),mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_61]),c_0_57]),c_0_63]) ).
cnf(c_0_67,plain,
ld(X1,mult(X1,X2)) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[c_0_14,c_0_61]) ).
cnf(c_0_68,plain,
mult(rd(X1,X1),ld(X1,X2)) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_64,c_0_61]) ).
cnf(c_0_69,plain,
mult(X1,ld(X1,mult(ld(X1,X2),X3))) = mult(ld(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_14]),c_0_33]) ).
fof(c_0_70,negated_conjecture,
( rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
cnf(c_0_71,plain,
mult(X1,mult(ld(X1,X2),rd(X3,X3))) = mult(rd(X1,X1),mult(X2,rd(X3,X3))),
inference(rw,[status(thm)],[c_0_63,c_0_66]) ).
cnf(c_0_72,plain,
ld(X1,mult(rd(X1,X1),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_61]),c_0_68]) ).
cnf(c_0_73,plain,
mult(rd(X1,X1),mult(ld(X1,X2),X3)) = mult(ld(X1,X2),X3),
inference(rw,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0)
| rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0)) != rd(mult(esk1_0,esk3_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
mult(mult(rd(X1,X1),X2),X3) = mult(rd(X1,X1),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_61]),c_0_61]) ).
cnf(c_0_76,plain,
mult(rd(X1,rd(X2,X2)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_53]),c_0_41]),c_0_59]) ).
cnf(c_0_77,plain,
ld(X1,mult(X2,rd(X3,X3))) = mult(ld(X1,X2),rd(X3,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0)) != mult(rd(esk1_0,esk3_0),esk3_0)
| mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(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_74,c_0_16]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_79,plain,
mult(rd(X1,X1),mult(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_53]),c_0_32]),c_0_41]) ).
cnf(c_0_80,plain,
mult(X1,mult(X2,rd(rd(X3,X4),rd(X3,X4)))) = mult(X1,mult(X2,rd(X4,X4))),
inference(rw,[status(thm)],[c_0_48,c_0_50]) ).
cnf(c_0_81,plain,
mult(ld(X1,X2),rd(X2,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_32]) ).
cnf(c_0_82,plain,
mult(rd(ld(X1,X2),ld(X1,X2)),X3) = mult(rd(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_61]),c_0_61]) ).
cnf(c_0_83,negated_conjecture,
( mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0))
| mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_53]),c_0_53]),c_0_53]),c_0_53]) ).
cnf(c_0_84,plain,
mult(X1,rd(rd(X2,X3),rd(X2,X3))) = mult(X1,rd(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_79]) ).
cnf(c_0_85,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(rd(X1,X1),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_81]),c_0_25]),c_0_82]) ).
cnf(c_0_86,negated_conjecture,
mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,plain,
mult(X1,mult(rd(X1,X1),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_33,c_0_61]) ).
cnf(c_0_88,plain,
mult(rd(X1,X1),mult(rd(X2,X2),X3)) = mult(rd(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_85]),c_0_75]) ).
cnf(c_0_89,negated_conjecture,
mult(esk1_0,mult(rd(esk2_0,esk2_0),rd(esk3_0,esk3_0))) != mult(esk1_0,rd(esk3_0,esk3_0)),
inference(rw,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_90,plain,
mult(X1,mult(rd(X2,X2),X3)) = mult(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_87]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP685+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:33:39 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 % Version: 3.5.1
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43 % Starting sh5l with 300s (1) cores
% 0.13/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3473486 completed with status 0
% 0.13/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43 % No SInE strategy applied
% 0.13/0.43 % Search class: FUHPM-FFSF22-MFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.43 % Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S with 136s (1) cores
% 0.13/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.43 % new_bool_1 with pid 3473494 completed with status 0
% 0.13/0.43 % Result found by new_bool_1
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43 % No SInE strategy applied
% 0.13/0.43 % Search class: FUHPM-FFSF22-MFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.43 % Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_PS_S5PRR_S2S with 136s (1) cores
% 0.13/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.43 % Preprocessing time : 0.001 s
% 0.13/0.43 % Presaturation interreduction done
% 0.13/0.43
% 0.13/0.43 % Proof found!
% 0.13/0.43 % SZS status Theorem
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43 % Parsed axioms : 8
% 0.13/0.43 % Removed by relevancy pruning/SinE : 0
% 0.13/0.43 % Initial clauses : 8
% 0.13/0.43 % Removed in clause preprocessing : 0
% 0.13/0.43 % Initial clauses in saturation : 8
% 0.13/0.43 % Processed clauses : 207
% 0.13/0.43 % ...of these trivial : 47
% 0.13/0.43 % ...subsumed : 0
% 0.13/0.43 % ...remaining for further processing : 160
% 0.13/0.43 % Other redundant clauses eliminated : 0
% 0.13/0.43 % Clauses deleted for lack of memory : 0
% 0.13/0.43 % Backward-subsumed : 0
% 0.13/0.43 % Backward-rewritten : 102
% 0.13/0.43 % Generated clauses : 3466
% 0.13/0.43 % ...of the previous two non-redundant : 2116
% 0.13/0.43 % ...aggressively subsumed : 0
% 0.13/0.43 % Contextual simplify-reflections : 0
% 0.13/0.43 % Paramodulations : 3466
% 0.13/0.43 % Factorizations : 0
% 0.13/0.43 % NegExts : 0
% 0.13/0.43 % Equation resolutions : 0
% 0.13/0.43 % Disequality decompositions : 0
% 0.13/0.43 % Total rewrite steps : 6041
% 0.13/0.43 % ...of those cached : 4607
% 0.13/0.43 % Propositional unsat checks : 0
% 0.13/0.43 % Propositional check models : 0
% 0.13/0.43 % Propositional check unsatisfiable : 0
% 0.13/0.43 % Propositional clauses : 0
% 0.13/0.43 % Propositional clauses after purity: 0
% 0.13/0.43 % Propositional unsat core size : 0
% 0.13/0.43 % Propositional preprocessing time : 0.000
% 0.13/0.43 % Propositional encoding time : 0.000
% 0.13/0.43 % Propositional solver time : 0.000
% 0.13/0.43 % Success case prop preproc time : 0.000
% 0.13/0.43 % Success case prop encoding time : 0.000
% 0.13/0.43 % Success case prop solver time : 0.000
% 0.13/0.43 % Current number of processed clauses : 50
% 0.13/0.43 % Positive orientable unit clauses : 50
% 0.13/0.43 % Positive unorientable unit clauses: 0
% 0.13/0.43 % Negative unit clauses : 0
% 0.13/0.43 % Non-unit-clauses : 0
% 0.13/0.43 % Current number of unprocessed clauses: 1877
% 0.13/0.43 % ...number of literals in the above : 1877
% 0.13/0.43 % Current number of archived formulas : 0
% 0.13/0.43 % Current number of archived clauses : 110
% 0.13/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.43 % Non-unit clause-clause subsumptions : 0
% 0.13/0.43 % Unit Clause-clause subsumption calls : 0
% 0.13/0.43 % Rewrite failures with RHS unbound : 0
% 0.13/0.43 % BW rewrite match attempts : 212
% 0.13/0.43 % BW rewrite match successes : 92
% 0.13/0.43 % Condensation attempts : 0
% 0.13/0.43 % Condensation successes : 0
% 0.13/0.43 % Termbank termtop insertions : 46580
% 0.13/0.43 % Search garbage collected termcells : 34
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.028 s
% 0.13/0.43 % System time : 0.001 s
% 0.13/0.43 % Total time : 0.029 s
% 0.13/0.43 % Maximum resident set size: 3636 pages
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.132 s
% 0.13/0.43 % System time : 0.015 s
% 0.13/0.43 % Total time : 0.147 s
% 0.13/0.43 % Maximum resident set size: 4864 pages
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------