TSTP Solution File: COM126+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 300s
% DateTime : Sat May 4 07:30:02 EDT 2024
% Result : Theorem 0.39s 0.69s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 21 unt; 0 def)
% Number of atoms : 224 ( 93 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 240 ( 74 ~; 113 |; 40 &)
% ( 0 <=>; 13 =>; 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 : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 167 ( 25 sgn 90 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-app',conjecture,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','T-Weak-FreeVar-app') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','DIFF-var-app') ).
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/tmp/tmp.MvK457Um5p/E---3.1_3612.p','T-inv') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','EQ-app') ).
fof('T-Weak-FreeVar-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','T-Weak-FreeVar-app-IH1') ).
fof('T-Weak-FreeVar-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','T-Weak-FreeVar-app-IH2') ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p','T-app') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.MvK457Um5p/E---3.1_3612.p',isFreeVar2) ).
fof(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-app'])]) ).
fof(c_0_10,plain,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
inference(fof_simplification,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_11,plain,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
inference(fof_simplification,[status(thm)],['DIFF-var-app']) ).
fof(c_0_12,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])]) ).
fof(c_0_13,negated_conjecture,
( ~ visFreeVar(esk32_0,vapp(ve1app,ve2app))
& vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_14,plain,
! [X54,X55,X56,X57,X58] : vabs(X54,X55,X56) != vapp(X57,X58),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_15,plain,
! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_16,plain,
! [X43,X44,X45,X46] :
( ( X43 = X45
| vapp(X43,X44) != vapp(X45,X46) )
& ( X44 = X46
| vapp(X43,X44) != vapp(X45,X46) )
& ( X43 != X45
| X44 != X46
| vapp(X43,X44) = vapp(X45,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])])]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
inference(er,[status(thm)],[c_0_23]) ).
fof(c_0_25,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH1']) ).
cnf(c_0_26,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_22,c_0_24]) ).
fof(c_0_28,plain,
! [X306,X307,X308,X309] :
( visFreeVar(X306,ve1app)
| ~ vtcheck(X308,ve1app,X309)
| vtcheck(vbind(X306,X307,X308),ve1app,X309) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_29,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH2']) ).
cnf(c_0_31,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_33,plain,
! [X280,X281,X282,X283,X284] :
( ~ vtcheck(X281,X282,varrow(X280,X284))
| ~ vtcheck(X281,X283,X280)
| vtcheck(X281,vapp(X282,X283),X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])])]) ).
cnf(c_0_34,plain,
( visFreeVar(X1,ve1app)
| vtcheck(vbind(X1,X4,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_19]),c_0_20]),c_0_24]) ).
fof(c_0_36,plain,
! [X310,X311,X312,X313] :
( visFreeVar(X310,ve2app)
| ~ vtcheck(X312,ve2app,X313)
| vtcheck(vbind(X310,X311,X312),ve2app,X313) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_37,negated_conjecture,
vtcheck(esk34_0,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_38,negated_conjecture,
esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0))
| visFreeVar(X1,ve1app) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( visFreeVar(X1,ve2app)
| vtcheck(vbind(X1,X4,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_43,plain,
! [X78,X79,X80,X81,X82] :
( ( ~ visFreeVar(X81,X80)
| visFreeVar(X78,X79)
| X78 != X81
| X79 != vapp(X80,X82) )
& ( ~ visFreeVar(X81,X82)
| visFreeVar(X78,X79)
| X78 != X81
| X79 != vapp(X80,X82) )
& ( ~ visFreeVar(X78,X79)
| visFreeVar(X81,X80)
| visFreeVar(X81,X82)
| X78 != X81
| X79 != vapp(X80,X82) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])])]) ).
cnf(c_0_44,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,X3),esk35_0)
| visFreeVar(X1,ve1app)
| ~ vtcheck(vbind(X1,X2,esk34_0),X3,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0))
| visFreeVar(X1,ve2app) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_48,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0)
| visFreeVar(X1,ve2app)
| visFreeVar(X1,ve1app) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_50,negated_conjecture,
( visFreeVar(esk32_0,ve1app)
| visFreeVar(esk32_0,ve2app) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( visFreeVar(esk32_0,vapp(X1,ve2app))
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])]) ).
cnf(c_0_55,negated_conjecture,
visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
visFreeVar(esk32_0,vapp(ve1app,X1)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 17:23:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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/tmp/tmp.MvK457Um5p/E---3.1_3612.p
% 0.39/0.69 # Version: 3.1.0
% 0.39/0.69 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.69 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.39/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.39/0.69 # Starting sh5l with 300s (1) cores
% 0.39/0.69 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3695 completed with status 0
% 0.39/0.69 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.39/0.69 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.69 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.69 # No SInE strategy applied
% 0.39/0.69 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.39/0.69 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.69 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.39/0.69 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.69 # Starting new_bool_3 with 136s (1) cores
% 0.39/0.69 # Starting new_bool_1 with 136s (1) cores
% 0.39/0.69 # Starting sh5l with 136s (1) cores
% 0.39/0.69 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3703 completed with status 0
% 0.39/0.69 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.39/0.69 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.69 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.69 # No SInE strategy applied
% 0.39/0.69 # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.39/0.69 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.69 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.39/0.69 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.69 # Preprocessing time : 0.008 s
% 0.39/0.69 # Presaturation interreduction done
% 0.39/0.69
% 0.39/0.69 # Proof found!
% 0.39/0.69 # SZS status Theorem
% 0.39/0.69 # SZS output start CNFRefutation
% See solution above
% 0.39/0.69 # Parsed axioms : 59
% 0.39/0.69 # Removed by relevancy pruning/SinE : 0
% 0.39/0.69 # Initial clauses : 425
% 0.39/0.69 # Removed in clause preprocessing : 13
% 0.39/0.69 # Initial clauses in saturation : 412
% 0.39/0.69 # Processed clauses : 1042
% 0.39/0.69 # ...of these trivial : 38
% 0.39/0.69 # ...subsumed : 62
% 0.39/0.69 # ...remaining for further processing : 942
% 0.39/0.69 # Other redundant clauses eliminated : 304
% 0.39/0.69 # Clauses deleted for lack of memory : 0
% 0.39/0.69 # Backward-subsumed : 0
% 0.39/0.69 # Backward-rewritten : 47
% 0.39/0.69 # Generated clauses : 2455
% 0.39/0.69 # ...of the previous two non-redundant : 2247
% 0.39/0.69 # ...aggressively subsumed : 0
% 0.39/0.69 # Contextual simplify-reflections : 0
% 0.39/0.69 # Paramodulations : 2187
% 0.39/0.69 # Factorizations : 0
% 0.39/0.69 # NegExts : 0
% 0.39/0.69 # Equation resolutions : 320
% 0.39/0.69 # Disequality decompositions : 0
% 0.39/0.69 # Total rewrite steps : 221
% 0.39/0.69 # ...of those cached : 173
% 0.39/0.69 # Propositional unsat checks : 0
% 0.39/0.69 # Propositional check models : 0
% 0.39/0.69 # Propositional check unsatisfiable : 0
% 0.39/0.69 # Propositional clauses : 0
% 0.39/0.69 # Propositional clauses after purity: 0
% 0.39/0.69 # Propositional unsat core size : 0
% 0.39/0.69 # Propositional preprocessing time : 0.000
% 0.39/0.69 # Propositional encoding time : 0.000
% 0.39/0.69 # Propositional solver time : 0.000
% 0.39/0.69 # Success case prop preproc time : 0.000
% 0.39/0.69 # Success case prop encoding time : 0.000
% 0.39/0.69 # Success case prop solver time : 0.000
% 0.39/0.69 # Current number of processed clauses : 429
% 0.39/0.69 # Positive orientable unit clauses : 45
% 0.39/0.69 # Positive unorientable unit clauses: 0
% 0.39/0.69 # Negative unit clauses : 22
% 0.39/0.69 # Non-unit-clauses : 362
% 0.39/0.69 # Current number of unprocessed clauses: 1974
% 0.39/0.69 # ...number of literals in the above : 7473
% 0.39/0.69 # Current number of archived formulas : 0
% 0.39/0.69 # Current number of archived clauses : 419
% 0.39/0.69 # Clause-clause subsumption calls (NU) : 60011
% 0.39/0.69 # Rec. Clause-clause subsumption calls : 15145
% 0.39/0.69 # Non-unit clause-clause subsumptions : 45
% 0.39/0.69 # Unit Clause-clause subsumption calls : 2960
% 0.39/0.69 # Rewrite failures with RHS unbound : 0
% 0.39/0.69 # BW rewrite match attempts : 49
% 0.39/0.69 # BW rewrite match successes : 7
% 0.39/0.69 # Condensation attempts : 0
% 0.39/0.69 # Condensation successes : 0
% 0.39/0.69 # Termbank termtop insertions : 95617
% 0.39/0.69 # Search garbage collected termcells : 4013
% 0.39/0.69
% 0.39/0.69 # -------------------------------------------------
% 0.39/0.69 # User time : 0.153 s
% 0.39/0.69 # System time : 0.011 s
% 0.39/0.69 # Total time : 0.165 s
% 0.39/0.69 # Maximum resident set size: 2844 pages
% 0.39/0.69
% 0.39/0.69 # -------------------------------------------------
% 0.39/0.69 # User time : 0.713 s
% 0.39/0.69 # System time : 0.025 s
% 0.39/0.69 # Total time : 0.738 s
% 0.39/0.69 # Maximum resident set size: 1820 pages
% 0.39/0.69 % E---3.1 exiting
% 0.39/0.69 % E exiting
%------------------------------------------------------------------------------