%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM123+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 : n005.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 12:11:36 PM UTC 2026
% Result : Theorem 1.57s 0.65s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 23 unt; 0 def)
% Number of atoms : 239 ( 127 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 262 ( 83 ~; 109 |; 53 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 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 : 211 ( 34 sgn 124 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs-1',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 != X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
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-Weak-FreeVar-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( vtcheck(X20,veabs,X15)
& ~ visFreeVar(X9,veabs) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-IH') ).
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(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(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 != X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs-1']) ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vtcheck(X20,vabs(X21,X35,veabs),X15)
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& X9 != X21 )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
inference(fof_simplification,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_12,plain,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
inference(fof_simplification,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_13,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_14,negated_conjecture,
( ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& esk32_0 != esk35_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_15,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_11])]) ).
fof(c_0_16,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_17,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_18,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_13]) ).
cnf(c_0_19,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( vabs(X1,X3,X4) != vabs(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3)
| esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_26,plain,
( vabs(X3,X4,X1) != vabs(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1)
| esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_30,plain,
( vabs(X3,X1,X4) != vabs(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),veabs) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_27,c_0_29]) ).
fof(c_0_32,plain,
! [X9,X10,X20,X15] :
( ( vtcheck(X20,veabs,X15)
& ~ visFreeVar(X9,veabs) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-IH']) ).
cnf(c_0_33,negated_conjecture,
( vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3)
| esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_34,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']) ).
fof(c_0_35,plain,
! [X307,X308,X309,X310] :
( vtcheck(vbind(X307,X308,X309),veabs,X310)
| ~ vtcheck(X309,veabs,X310)
| visFreeVar(X307,veabs) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_36,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_13]) ).
cnf(c_0_37,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
inference(er,[status(thm)],[c_0_33]) ).
fof(c_0_38,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_34])])]) ).
cnf(c_0_39,plain,
( ~ vtcheck(X2,veabs,X3)
| vtcheck(vbind(X1,X4,X2),veabs,X3)
| visFreeVar(X1,veabs) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_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_36,c_0_19]),c_0_20]),c_0_21]),c_0_25]),c_0_37]),c_0_29]) ).
cnf(c_0_41,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_13]) ).
fof(c_0_42,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_43,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_44,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_38]) ).
cnf(c_0_45,negated_conjecture,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X2,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_20]),c_0_21]) ).
fof(c_0_47,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_42])])])]) ).
cnf(c_0_48,plain,
( ~ vtcheck(vbind(X1,X2,X3),X4,X5)
| vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( visFreeVar(X1,veabs)
| vtcheck(vbind(esk35_0,esk36_0,vbind(X1,X2,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
| X1 = esk35_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(rw,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_51,plain,
( X5 != vabs(X1,X6,X3)
| X4 != X2
| ~ visFreeVar(X2,X3)
| visFreeVar(X4,X5)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,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_14]) ).
cnf(c_0_53,negated_conjecture,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X2,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
| X1 = esk35_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
esk32_0 != esk35_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_55,plain,
( ~ visFreeVar(X2,X4)
| visFreeVar(X2,vabs(X1,X3,X4))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
visFreeVar(esk32_0,veabs),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_58,negated_conjecture,
( visFreeVar(esk32_0,vabs(X1,X2,veabs))
| X1 = esk32_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM123+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:17:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.42 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
% 1.57/0.65 % Version: 3.5.1
% 1.57/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.57/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.57/0.65 % Starting new_bool_3 with 300s (1) cores
% 1.57/0.65 % Starting new_bool_1 with 300s (1) cores
% 1.57/0.65 % Starting sh5l with 300s (1) cores
% 1.57/0.65 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3708320 completed with status 0
% 1.57/0.65 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.57/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.57/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.57/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.57/0.65 % No SInE strategy applied
% 1.57/0.65 % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.57/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.57/0.65 % Starting SubtermCWHack with 136s (1) cores
% 1.57/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.57/0.65 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.57/0.65 % Starting new_bool_3 with 136s (1) cores
% 1.57/0.65 % Starting new_bool_1 with 136s (1) cores
% 1.57/0.65 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3708327 completed with status 0
% 1.57/0.65 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.57/0.65 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.57/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.57/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.57/0.65 % No SInE strategy applied
% 1.57/0.65 % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.57/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.57/0.65 % Starting SubtermCWHack with 136s (1) cores
% 1.57/0.65 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.57/0.65 % Preprocessing time : 0.008 s
% 1.57/0.65 % Presaturation interreduction done
% 1.57/0.65
% 1.57/0.65 % Proof found!
% 1.57/0.65 % SZS status Theorem
% 1.57/0.65 % SZS output start CNFRefutation
% See solution above
% 1.57/0.65 % Parsed axioms : 58
% 1.57/0.65 % Removed by relevancy pruning/SinE : 0
% 1.57/0.65 % Initial clauses : 425
% 1.57/0.65 % Removed in clause preprocessing : 13
% 1.57/0.65 % Initial clauses in saturation : 412
% 1.57/0.65 % Processed clauses : 1068
% 1.57/0.65 % ...of these trivial : 36
% 1.57/0.65 % ...subsumed : 82
% 1.57/0.65 % ...remaining for further processing : 950
% 1.57/0.65 % Other redundant clauses eliminated : 310
% 1.57/0.65 % Clauses deleted for lack of memory : 0
% 1.57/0.65 % Backward-subsumed : 0
% 1.57/0.65 % Backward-rewritten : 47
% 1.57/0.65 % Generated clauses : 2584
% 1.57/0.65 % ...of the previous two non-redundant : 2362
% 1.57/0.65 % ...aggressively subsumed : 0
% 1.57/0.65 % Contextual simplify-reflections : 0
% 1.57/0.65 % Paramodulations : 2309
% 1.57/0.65 % Factorizations : 0
% 1.57/0.65 % NegExts : 0
% 1.57/0.65 % Equation resolutions : 327
% 1.57/0.65 % Disequality decompositions : 0
% 1.57/0.65 % Total rewrite steps : 245
% 1.57/0.65 % ...of those cached : 200
% 1.57/0.65 % Propositional unsat checks : 0
% 1.57/0.65 % Propositional check models : 0
% 1.57/0.65 % Propositional check unsatisfiable : 0
% 1.57/0.65 % Propositional clauses : 0
% 1.57/0.65 % Propositional clauses after purity: 0
% 1.57/0.65 % Propositional unsat core size : 0
% 1.57/0.65 % Propositional preprocessing time : 0.000
% 1.57/0.65 % Propositional encoding time : 0.000
% 1.57/0.65 % Propositional solver time : 0.000
% 1.57/0.65 % Success case prop preproc time : 0.000
% 1.57/0.65 % Success case prop encoding time : 0.000
% 1.57/0.65 % Success case prop solver time : 0.000
% 1.57/0.65 % Current number of processed clauses : 437
% 1.57/0.65 % Positive orientable unit clauses : 39
% 1.57/0.65 % Positive unorientable unit clauses: 0
% 1.57/0.65 % Negative unit clauses : 25
% 1.57/0.65 % Non-unit-clauses : 373
% 1.57/0.65 % Current number of unprocessed clauses: 2053
% 1.57/0.65 % ...number of literals in the above : 7848
% 1.57/0.65 % Current number of archived formulas : 0
% 1.57/0.65 % Current number of archived clauses : 419
% 1.57/0.65 % Clause-clause subsumption calls (NU) : 52240
% 1.57/0.65 % Rec. Clause-clause subsumption calls : 11750
% 1.57/0.65 % Non-unit clause-clause subsumptions : 62
% 1.57/0.65 % Unit Clause-clause subsumption calls : 3567
% 1.57/0.65 % Rewrite failures with RHS unbound : 0
% 1.57/0.65 % BW rewrite match attempts : 22
% 1.57/0.65 % BW rewrite match successes : 5
% 1.57/0.65 % Condensation attempts : 0
% 1.57/0.65 % Condensation successes : 0
% 1.57/0.65 % Termbank termtop insertions : 107169
% 1.57/0.65 % Search garbage collected termcells : 4021
% 1.57/0.65
% 1.57/0.65 % -------------------------------------------------
% 1.57/0.65 % User time : 0.195 s
% 1.57/0.65 % System time : 0.010 s
% 1.57/0.65 % Total time : 0.205 s
% 1.57/0.65 % Maximum resident set size: 4264 pages
% 1.57/0.65
% 1.57/0.65 % -------------------------------------------------
% 1.57/0.65 % User time : 0.857 s
% 1.57/0.65 % System time : 0.049 s
% 1.57/0.65 % Total time : 0.906 s
% 1.57/0.65 % Maximum resident set size: 4608 pages
% 1.57/0.65 % E exiting
%------------------------------------------------------------------------------