%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM136+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:11:38 PM UTC 2026
% Result : Theorem 1.40s 0.64s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 25 unt; 0 def)
% Number of atoms : 248 ( 129 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 265 ( 83 ~; 114 |; 50 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 232 ( 33 sgn 138 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Strong-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-abs') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X12,X13,X10] :
( vtcheck(X20,X13,X10)
& vtcheck(X20,X12,varrow(X10,X15))
& X11 = vapp(X12,X13) )
| ? [X9,X13,X33,X34] :
( vtcheck(vbind(X9,X33,X20),X13,X34)
& X15 = varrow(X33,X34)
& X11 = vabs(X9,X33,X13) )
| ? [X9] :
( vlookup(X9,X20) = vsomeType(X15)
& X11 = vvar(X9) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( ( X4 = X6
& X3 = X5
& X1 = X2 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) )
& ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X4 = X6
& X3 = X5
& X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15)
& X9 != X21 )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('T-Strong-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( vtcheck(vbind(X9,X10,X20),veabs,X15)
& ~ visFreeVar(X9,veabs) )
=> vtcheck(X20,veabs,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-abs-IH') ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X4 = vabs(X9,X15,X11)
& X1 = X14 )
=> ( ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X11)
& X9 != X14 ) )
& ( ( visFreeVar(X14,X11)
& X9 != X14 )
=> visFreeVar(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15)
& X9 = X21 )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Strong-abs']) ).
fof(c_0_11,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs)) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_12,plain,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
inference(fof_simplification,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_13,plain,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
inference(fof_simplification,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_14,plain,
! [X286,X287,X288] :
( ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])]) ).
fof(c_0_15,negated_conjecture,
( ~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_16,plain,
! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_17,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
fof(c_0_18,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( vabs(X38,X39,X40) = vabs(X41,X42,X43)
| X40 != X43
| X39 != X42
| X38 != X41 )
& ( vabs(X38,X39,X40) != vabs(X41,X42,X43)
| X40 = X43 )
& ( vabs(X38,X39,X40) != vabs(X41,X42,X43)
| X39 = X42 )
& ( vabs(X38,X39,X40) != vabs(X41,X42,X43)
| X38 = X41 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])]) ).
cnf(c_0_19,plain,
( ~ vtcheck(X3,X1,X2)
| X1 = vvar(esk24_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( vabs(X1,X3,X4) != vabs(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3)
| esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_27,plain,
( vabs(X3,X4,X1) != vabs(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_24,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1)
| esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = veabs,
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_31,plain,
( vabs(X3,X1,X4) != vabs(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),veabs) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_28,c_0_30]) ).
fof(c_0_33,plain,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15)
& X9 != X21 )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Context-Swap']) ).
cnf(c_0_34,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3)
| esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_35,plain,
! [X9,X10,X20,X15] :
( ( vtcheck(vbind(X9,X10,X20),veabs,X15)
& ~ visFreeVar(X9,veabs) )
=> vtcheck(X20,veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-abs-IH']) ).
fof(c_0_36,plain,
! [X139,X140,X141,X142,X143,X144,X145] :
( vtcheck(vbind(X139,X140,vbind(X141,X142,X143)),X144,X145)
| ~ vtcheck(vbind(X141,X142,vbind(X139,X140,X143)),X144,X145)
| X141 = X139 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_37,plain,
( ~ vtcheck(X3,X1,X2)
| X1 = vvar(esk24_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk36_0,
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X15,X1,X4,X9,X14,X11] :
( ( X4 = vabs(X9,X15,X11)
& X1 = X14 )
=> ( ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X11)
& X9 != X14 ) )
& ( ( visFreeVar(X14,X11)
& X9 != X14 )
=> visFreeVar(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[isFreeVar1]) ).
fof(c_0_40,plain,
! [X302,X303,X304,X305] :
( vtcheck(X304,veabs,X305)
| ~ vtcheck(vbind(X302,X303,X304),veabs,X305)
| visFreeVar(X302,veabs) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_41,plain,
( ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7)
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_21]),c_0_22]),c_0_26]),c_0_38]),c_0_30]) ).
cnf(c_0_43,plain,
( ~ vtcheck(X3,X1,X2)
| X1 = vvar(esk24_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_44,plain,
! [X73,X74,X75,X76,X77,X78] :
( ( X75 != vabs(X76,X73,X78)
| X74 != X77
| ~ visFreeVar(X74,X75)
| visFreeVar(X77,X78) )
& ( X75 != vabs(X76,X73,X78)
| X74 != X77
| ~ visFreeVar(X74,X75)
| X76 != X77 )
& ( X75 != vabs(X76,X73,X78)
| X74 != X77
| visFreeVar(X74,X75)
| ~ visFreeVar(X77,X78)
| X76 = X77 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_45,plain,
! [X276,X277,X278,X279,X280] :
( vtcheck(X276,vabs(X277,X279,X278),varrow(X279,X280))
| ~ vtcheck(vbind(X277,X279,X276),X278,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])])]) ).
cnf(c_0_46,plain,
( ~ vtcheck(vbind(X1,X2,X3),veabs,X4)
| vtcheck(X3,veabs,X4)
| visFreeVar(X1,veabs) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( vtcheck(vbind(esk32_0,esk33_0,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)))
| esk32_0 = esk35_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_49,plain,
( X5 != vabs(X1,X6,X3)
| X4 != X2
| ~ visFreeVar(X2,X3)
| visFreeVar(X4,X5)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( ~ vtcheck(vbind(X1,X2,X3),X4,X5)
| vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( visFreeVar(esk32_0,veabs)
| vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)))
| esk32_0 = esk35_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(rw,[status(thm)],[c_0_48,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_54,plain,
( ~ visFreeVar(X2,X4)
| visFreeVar(X2,vabs(X1,X3,X4))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_55,negated_conjecture,
( visFreeVar(esk32_0,veabs)
| esk32_0 = esk35_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
fof(c_0_56,plain,
! [X132,X133,X134,X135,X136,X137,X138] :
( vtcheck(vbind(X134,X135,X136),X137,X138)
| ~ vtcheck(vbind(X134,X135,vbind(X132,X133,X136)),X137,X138)
| X134 != X132 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])])]) ).
cnf(c_0_57,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( visFreeVar(esk32_0,vabs(X1,X2,veabs))
| X1 = esk32_0
| esk32_0 = esk35_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7)
| X1 != X2
| vtcheck(vbind(X1,X3,X5),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
esk32_0 = esk35_0,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5)
| vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_62,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk35_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))) = esk37_0,
inference(spm,[status(thm)],[c_0_52,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_63]),c_0_64]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM136+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:18:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 1.40/0.64 % Version: 3.5.1
% 1.40/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.64 % Starting new_bool_3 with 300s (1) cores
% 1.40/0.64 % Starting new_bool_1 with 300s (1) cores
% 1.40/0.64 % Starting sh5l with 300s (1) cores
% 1.40/0.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1202466 completed with status 0
% 1.40/0.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.40/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.40/0.64 % No SInE strategy applied
% 1.40/0.64 % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.40/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.40/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.40/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.40/0.64 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.40/0.64 % Starting new_bool_3 with 136s (1) cores
% 1.40/0.64 % Starting new_bool_1 with 136s (1) cores
% 1.40/0.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1202473 completed with status 0
% 1.40/0.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.40/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.40/0.64 % No SInE strategy applied
% 1.40/0.64 % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.40/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.40/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.40/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.40/0.64 % Preprocessing time : 0.008 s
% 1.40/0.64 % Presaturation interreduction done
% 1.40/0.64
% 1.40/0.64 % Proof found!
% 1.40/0.64 % SZS status Theorem
% 1.40/0.64 % SZS output start CNFRefutation
% See solution above
% 1.40/0.64 % Parsed axioms : 57
% 1.40/0.64 % Removed by relevancy pruning/SinE : 0
% 1.40/0.64 % Initial clauses : 423
% 1.40/0.64 % Removed in clause preprocessing : 13
% 1.40/0.64 % Initial clauses in saturation : 410
% 1.40/0.64 % Processed clauses : 1157
% 1.40/0.64 % ...of these trivial : 50
% 1.40/0.64 % ...subsumed : 122
% 1.40/0.64 % ...remaining for further processing : 984
% 1.40/0.64 % Other redundant clauses eliminated : 317
% 1.40/0.64 % Clauses deleted for lack of memory : 0
% 1.40/0.64 % Backward-subsumed : 1
% 1.40/0.64 % Backward-rewritten : 63
% 1.40/0.64 % Generated clauses : 2871
% 1.40/0.64 % ...of the previous two non-redundant : 2643
% 1.40/0.64 % ...aggressively subsumed : 0
% 1.40/0.64 % Contextual simplify-reflections : 0
% 1.40/0.64 % Paramodulations : 2587
% 1.40/0.64 % Factorizations : 0
% 1.40/0.64 % NegExts : 0
% 1.40/0.64 % Equation resolutions : 336
% 1.40/0.64 % Disequality decompositions : 0
% 1.40/0.64 % Total rewrite steps : 309
% 1.40/0.64 % ...of those cached : 259
% 1.40/0.64 % Propositional unsat checks : 0
% 1.40/0.64 % Propositional check models : 0
% 1.40/0.64 % Propositional check unsatisfiable : 0
% 1.40/0.64 % Propositional clauses : 0
% 1.40/0.64 % Propositional clauses after purity: 0
% 1.40/0.64 % Propositional unsat core size : 0
% 1.40/0.64 % Propositional preprocessing time : 0.000
% 1.40/0.64 % Propositional encoding time : 0.000
% 1.40/0.64 % Propositional solver time : 0.000
% 1.40/0.64 % Success case prop preproc time : 0.000
% 1.40/0.64 % Success case prop encoding time : 0.000
% 1.40/0.64 % Success case prop solver time : 0.000
% 1.40/0.64 % Current number of processed clauses : 456
% 1.40/0.64 % Positive orientable unit clauses : 51
% 1.40/0.64 % Positive unorientable unit clauses: 0
% 1.40/0.64 % Negative unit clauses : 25
% 1.40/0.64 % Non-unit-clauses : 380
% 1.40/0.64 % Current number of unprocessed clauses: 2223
% 1.40/0.64 % ...number of literals in the above : 8445
% 1.40/0.64 % Current number of archived formulas : 0
% 1.40/0.64 % Current number of archived clauses : 434
% 1.40/0.64 % Clause-clause subsumption calls (NU) : 52900
% 1.40/0.64 % Rec. Clause-clause subsumption calls : 12190
% 1.40/0.64 % Non-unit clause-clause subsumptions : 94
% 1.40/0.64 % Unit Clause-clause subsumption calls : 3546
% 1.40/0.64 % Rewrite failures with RHS unbound : 0
% 1.40/0.64 % BW rewrite match attempts : 31
% 1.40/0.64 % BW rewrite match successes : 9
% 1.40/0.64 % Condensation attempts : 0
% 1.40/0.64 % Condensation successes : 0
% 1.40/0.64 % Termbank termtop insertions : 119586
% 1.40/0.64 % Search garbage collected termcells : 3977
% 1.40/0.64
% 1.40/0.64 % -------------------------------------------------
% 1.40/0.64 % User time : 0.160 s
% 1.40/0.64 % System time : 0.018 s
% 1.40/0.64 % Total time : 0.178 s
% 1.40/0.64 % Maximum resident set size: 4516 pages
% 1.40/0.64
% 1.40/0.64 % -------------------------------------------------
% 1.40/0.64 % User time : 0.890 s
% 1.40/0.64 % System time : 0.066 s
% 1.40/0.64 % Total time : 0.956 s
% 1.40/0.64 % Maximum resident set size: 4608 pages
% 1.40/0.64 % E exiting
%------------------------------------------------------------------------------