TSTP Solution File: COM131+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM131+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : Fri Jul 15 01:07:23 EDT 2022
% Result : Theorem 10.34s 2.84s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 24 unt; 0 def)
% Number of atoms : 233 ( 127 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 250 ( 77 ~; 115 |; 46 &)
% ( 0 <=>; 12 =>; 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 : 24 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 220 ( 29 sgn 112 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-subst-abs-2',conjecture,
! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
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('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst5) ).
fof('T-Weak-FreeVar',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar') ).
fof('T-subst-IH-abs',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),veabs,X34) )
=> vtcheck(X20,vsubst(X9,X11,veabs),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-abs') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
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_10,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-abs-2']) ).
fof(c_0_11,plain,
! [X285,X286,X287] :
( ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_12,negated_conjecture,
( esk34_0 != esk36_0
& ~ visFreeVar(esk36_0,esk35_0)
& vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])]) ).
fof(c_0_13,plain,
! [X54,X55,X56,X57,X58] : vabs(X54,X55,X56) != vapp(X57,X58),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_14,plain,
! [X47,X48,X49,X50] : vvar(X47) != vabs(X48,X49,X50),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_15,plain,
! [X37,X38,X39,X40,X41,X42] :
( ( X37 = X40
| vabs(X37,X38,X39) != vabs(X40,X41,X42) )
& ( X38 = X41
| vabs(X37,X38,X39) != vabs(X40,X41,X42) )
& ( X39 = X42
| vabs(X37,X38,X39) != vabs(X40,X41,X42) )
& ( X37 != X40
| X38 != X41
| X39 != X42
| vabs(X37,X38,X39) = vabs(X40,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
cnf(c_0_16,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
vabs(esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = vabs(esk36_0,esk37_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vabs(esk36_0,esk37_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = esk36_0,
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_24,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
vabs(esk36_0,esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = vabs(esk36_0,esk37_0,veabs),
inference(rw,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vabs(esk36_0,esk37_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = veabs,
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_28,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
vabs(esk36_0,esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),veabs) = vabs(esk36_0,esk37_0,veabs),
inference(rw,[status(thm)],[c_0_25,c_0_27]) ).
fof(c_0_30,plain,
! [X188,X189,X190,X191,X192,X193,X194,X195,X196] :
( X188 != X194
| X189 != X195
| X190 != vabs(X192,X193,X196)
| X194 = X192
| visFreeVar(X192,X195)
| X191 != vsubst(X188,X189,X190)
| X191 = vabs(X192,X193,vsubst(X194,X195,X196)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[subst5])])]) ).
fof(c_0_31,plain,
! [X306,X307,X308,X309,X310] :
( visFreeVar(X306,X309)
| ~ vtcheck(X308,X309,X310)
| vtcheck(vbind(X306,X307,X308),X309,X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar'])])]) ).
cnf(c_0_32,negated_conjecture,
( esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vabs(esk36_0,esk37_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( X2 = X6
| visFreeVar(X6,X4)
| X9 = vabs(X6,X7,vsubst(X2,X4,X8))
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| X9 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X311,X312,X313,X314,X315] :
( ~ vtcheck(X312,X314,X311)
| ~ vtcheck(vbind(X313,X311,X312),veabs,X315)
| vtcheck(X312,vsubst(X313,X314,veabs),X315) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-abs'])]) ).
cnf(c_0_35,plain,
( visFreeVar(X1,X2)
| vtcheck(vbind(X1,X5,X3),X2,X4)
| ~ vtcheck(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_37,plain,
! [X138,X139,X140,X141,X142,X143,X144] :
( X140 = X138
| ~ vtcheck(vbind(X140,X141,vbind(X138,X139,X142)),X143,X144)
| vtcheck(vbind(X138,X139,vbind(X140,X141,X142)),X143,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(c_0_38,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_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 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,negated_conjecture,
esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = esk37_0,
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( X1 = vabs(X2,X3,vsubst(X4,X5,X6))
| X4 = X2
| visFreeVar(X2,X5)
| X1 != vsubst(X4,X5,X7)
| X7 != vabs(X2,X3,X6) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).
cnf(c_0_41,plain,
( vtcheck(X1,vsubst(X4,X2,veabs),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),veabs,X5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
( vtcheck(vbind(X1,X2,esk33_0),esk35_0,esk32_0)
| visFreeVar(X1,esk35_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( X1 = X2
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
vtcheck(vbind(esk36_0,esk37_0,vbind(esk34_0,esk32_0,esk33_0)),veabs,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_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_38,c_0_17]),c_0_18]),c_0_19]),c_0_23]),c_0_39]),c_0_27]) ).
cnf(c_0_45,negated_conjecture,
esk34_0 != esk36_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,plain,
( vsubst(X1,X2,X3) = vabs(X4,X5,vsubst(X1,X2,X6))
| X1 = X4
| visFreeVar(X4,X2)
| X3 != vabs(X4,X5,X6) ),
inference(er,[status(thm)],[c_0_40]) ).
fof(c_0_48,plain,
! [X275,X276,X277,X278,X279] :
( ~ vtcheck(vbind(X276,X278,X275),X277,X279)
| vtcheck(X275,vabs(X276,X278,X277),varrow(X278,X279)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(c_0_49,negated_conjecture,
( vtcheck(vbind(X1,X2,esk33_0),vsubst(X3,esk35_0,veabs),X4)
| visFreeVar(X1,esk35_0)
| ~ vtcheck(vbind(X3,esk32_0,vbind(X1,X2,esk33_0)),veabs,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,vbind(esk36_0,esk37_0,esk33_0)),veabs,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_51,negated_conjecture,
~ visFreeVar(esk36_0,esk35_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,negated_conjecture,
varrow(esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = esk38_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_53,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_54,plain,
( vsubst(X1,X2,vabs(X3,X4,X5)) = vabs(X3,X4,vsubst(X1,X2,X5))
| X1 = X3
| visFreeVar(X3,X2) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
vtcheck(vbind(esk36_0,esk37_0,esk33_0),vsubst(esk34_0,esk35_0,veabs),esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_57,negated_conjecture,
varrow(esk37_0,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = esk38_0,
inference(rw,[status(thm)],[c_0_52,c_0_39]) ).
cnf(c_0_58,negated_conjecture,
~ vtcheck(esk33_0,vabs(esk36_0,esk37_0,vsubst(esk34_0,esk35_0,veabs)),esk38_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_45]),c_0_51]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM131+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 17:42:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.34/2.84 # ENIGMATIC: Solved by autoschedule:
% 10.34/2.84 # No SInE strategy applied
% 10.34/2.84 # Trying AutoSched0 for 150 seconds
% 10.34/2.84 # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 10.34/2.84 # and selection function SelectCQPrecWNTNp.
% 10.34/2.84 #
% 10.34/2.84 # Preprocessing time : 0.045 s
% 10.34/2.84 # Presaturation interreduction done
% 10.34/2.84
% 10.34/2.84 # Proof found!
% 10.34/2.84 # SZS status Theorem
% 10.34/2.84 # SZS output start CNFRefutation
% See solution above
% 10.34/2.84 # Training examples: 0 positive, 0 negative
% 10.34/2.84
% 10.34/2.84 # -------------------------------------------------
% 10.34/2.84 # User time : 0.266 s
% 10.34/2.84 # System time : 0.018 s
% 10.34/2.84 # Total time : 0.284 s
% 10.34/2.84 # Maximum resident set size: 7124 pages
% 10.34/2.84
%------------------------------------------------------------------------------