TSTP Solution File: COM137+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 07:30:05 EDT 2024
% Result : Theorem 1.23s 0.64s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 20 unt; 0 def)
% Number of atoms : 220 ( 93 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 238 ( 74 ~; 111 |; 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 : 159 ( 22 sgn 90 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Strong-app',conjecture,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) )
=> vtcheck(X20,vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox/tmp/tmp.w0duc44GHb/E---3.1_23928.p','T-Strong-app') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/tmp/tmp.w0duc44GHb/E---3.1_23928.p','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/tmp/tmp.w0duc44GHb/E---3.1_23928.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.w0duc44GHb/E---3.1_23928.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.w0duc44GHb/E---3.1_23928.p','EQ-app') ).
fof('T-Strong-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(vbind(X9,X10,X20),ve1app,X15) )
=> vtcheck(X20,ve1app,X15) ),
file('/export/starexec/sandbox/tmp/tmp.w0duc44GHb/E---3.1_23928.p','T-Strong-app-IH1') ).
fof('T-Strong-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(vbind(X9,X10,X20),ve2app,X15) )
=> vtcheck(X20,ve2app,X15) ),
file('/export/starexec/sandbox/tmp/tmp.w0duc44GHb/E---3.1_23928.p','T-Strong-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.w0duc44GHb/E---3.1_23928.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.w0duc44GHb/E---3.1_23928.p',isFreeVar2) ).
fof(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) )
=> vtcheck(X20,vapp(ve1app,ve2app),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Strong-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(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(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(vbind(esk32_0,esk33_0,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,vbind(esk32_0,esk33_0,esk34_0)),esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_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,vbind(esk32_0,esk33_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,vbind(esk32_0,esk33_0,esk34_0)) = ve1app,
inference(er,[status(thm)],[c_0_23]) ).
fof(c_0_25,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(vbind(X9,X10,X20),ve1app,X15) )
=> vtcheck(X20,ve1app,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-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,vbind(esk32_0,esk33_0,esk34_0))) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_22,c_0_24]) ).
fof(c_0_28,plain,
! [X301,X302,X303,X304] :
( visFreeVar(X301,ve1app)
| ~ vtcheck(vbind(X301,X302,X303),ve1app,X304)
| vtcheck(X303,ve1app,X304) ),
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(vbind(X9,X10,X20),ve2app,X15) )
=> vtcheck(X20,ve2app,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-app-IH2']) ).
cnf(c_0_31,negated_conjecture,
( esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,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_33,plain,
( visFreeVar(X1,ve1app)
| vtcheck(X3,ve1app,X4)
| ~ vtcheck(vbind(X1,X2,X3),ve1app,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_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_35,plain,
! [X305,X306,X307,X308] :
( visFreeVar(X305,ve2app)
| ~ vtcheck(vbind(X305,X306,X307),ve2app,X308)
| vtcheck(X307,ve2app,X308) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_36,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_37,negated_conjecture,
esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = ve2app,
inference(er,[status(thm)],[c_0_31]) ).
fof(c_0_38,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_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_32]) ).
cnf(c_0_40,negated_conjecture,
( vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),esk35_0))
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( visFreeVar(X1,ve2app)
| vtcheck(X3,ve2app,X4)
| ~ vtcheck(vbind(X1,X2,X3),ve2app,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_18]),c_0_19]),c_0_20]),c_0_37]) ).
cnf(c_0_43,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( vtcheck(esk34_0,vapp(ve1app,X1),esk35_0)
| visFreeVar(esk32_0,ve1app)
| ~ vtcheck(esk34_0,X1,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)))
| visFreeVar(esk32_0,ve2app) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_48,negated_conjecture,
( visFreeVar(esk32_0,ve2app)
| visFreeVar(esk32_0,ve1app) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_51,negated_conjecture,
( visFreeVar(esk32_0,vapp(X1,ve2app))
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).
cnf(c_0_53,negated_conjecture,
visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
visFreeVar(esk32_0,vapp(ve1app,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 17:23:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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.w0duc44GHb/E---3.1_23928.p
% 1.23/0.64 # Version: 3.1.0
% 1.23/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.23/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.23/0.64 # Starting new_bool_3 with 300s (1) cores
% 1.23/0.64 # Starting new_bool_1 with 300s (1) cores
% 1.23/0.64 # Starting sh5l with 300s (1) cores
% 1.23/0.64 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24032 completed with status 0
% 1.23/0.64 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.23/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.23/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.23/0.64 # No SInE strategy applied
% 1.23/0.64 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.23/0.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.23/0.64 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 1.23/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.23/0.64 # Starting new_bool_3 with 136s (1) cores
% 1.23/0.64 # Starting new_bool_1 with 136s (1) cores
% 1.23/0.64 # Starting sh5l with 136s (1) cores
% 1.23/0.64 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24046 completed with status 0
% 1.23/0.64 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.23/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.23/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.23/0.64 # No SInE strategy applied
% 1.23/0.64 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.23/0.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.23/0.64 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 1.23/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.23/0.64 # Preprocessing time : 0.008 s
% 1.23/0.64 # Presaturation interreduction done
% 1.23/0.64
% 1.23/0.64 # Proof found!
% 1.23/0.64 # SZS status Theorem
% 1.23/0.64 # SZS output start CNFRefutation
% See solution above
% 1.23/0.64 # Parsed axioms : 58
% 1.23/0.64 # Removed by relevancy pruning/SinE : 0
% 1.23/0.64 # Initial clauses : 424
% 1.23/0.64 # Removed in clause preprocessing : 13
% 1.23/0.64 # Initial clauses in saturation : 411
% 1.23/0.64 # Processed clauses : 983
% 1.23/0.64 # ...of these trivial : 21
% 1.23/0.64 # ...subsumed : 53
% 1.23/0.64 # ...remaining for further processing : 909
% 1.23/0.64 # Other redundant clauses eliminated : 300
% 1.23/0.64 # Clauses deleted for lack of memory : 0
% 1.23/0.64 # Backward-subsumed : 0
% 1.23/0.64 # Backward-rewritten : 46
% 1.23/0.64 # Generated clauses : 2216
% 1.23/0.64 # ...of the previous two non-redundant : 2051
% 1.23/0.64 # ...aggressively subsumed : 0
% 1.23/0.64 # Contextual simplify-reflections : 0
% 1.23/0.64 # Paramodulations : 1953
% 1.23/0.64 # Factorizations : 0
% 1.23/0.64 # NegExts : 0
% 1.23/0.64 # Equation resolutions : 315
% 1.23/0.64 # Disequality decompositions : 0
% 1.23/0.64 # Total rewrite steps : 150
% 1.23/0.64 # ...of those cached : 121
% 1.23/0.64 # Propositional unsat checks : 0
% 1.23/0.64 # Propositional check models : 0
% 1.23/0.64 # Propositional check unsatisfiable : 0
% 1.23/0.64 # Propositional clauses : 0
% 1.23/0.64 # Propositional clauses after purity: 0
% 1.23/0.64 # Propositional unsat core size : 0
% 1.23/0.64 # Propositional preprocessing time : 0.000
% 1.23/0.64 # Propositional encoding time : 0.000
% 1.23/0.64 # Propositional solver time : 0.000
% 1.23/0.64 # Success case prop preproc time : 0.000
% 1.23/0.64 # Success case prop encoding time : 0.000
% 1.23/0.64 # Success case prop solver time : 0.000
% 1.23/0.64 # Current number of processed clauses : 398
% 1.23/0.64 # Positive orientable unit clauses : 30
% 1.23/0.64 # Positive unorientable unit clauses: 0
% 1.23/0.64 # Negative unit clauses : 18
% 1.23/0.64 # Non-unit-clauses : 350
% 1.23/0.64 # Current number of unprocessed clauses: 1843
% 1.23/0.64 # ...number of literals in the above : 7107
% 1.23/0.64 # Current number of archived formulas : 0
% 1.23/0.64 # Current number of archived clauses : 417
% 1.23/0.64 # Clause-clause subsumption calls (NU) : 58706
% 1.23/0.64 # Rec. Clause-clause subsumption calls : 14690
% 1.23/0.64 # Non-unit clause-clause subsumptions : 44
% 1.23/0.64 # Unit Clause-clause subsumption calls : 2581
% 1.23/0.64 # Rewrite failures with RHS unbound : 0
% 1.23/0.64 # BW rewrite match attempts : 19
% 1.23/0.64 # BW rewrite match successes : 6
% 1.23/0.64 # Condensation attempts : 0
% 1.23/0.64 # Condensation successes : 0
% 1.23/0.64 # Termbank termtop insertions : 94909
% 1.23/0.64 # Search garbage collected termcells : 3989
% 1.23/0.64
% 1.23/0.64 # -------------------------------------------------
% 1.23/0.64 # User time : 0.122 s
% 1.23/0.64 # System time : 0.015 s
% 1.23/0.64 # Total time : 0.137 s
% 1.23/0.64 # Maximum resident set size: 2868 pages
% 1.23/0.64
% 1.23/0.64 # -------------------------------------------------
% 1.23/0.64 # User time : 0.580 s
% 1.23/0.64 # System time : 0.023 s
% 1.23/0.64 # Total time : 0.603 s
% 1.23/0.64 # Maximum resident set size: 1816 pages
% 1.23/0.64 % E---3.1 exiting
% 1.23/0.64 % E exiting
%------------------------------------------------------------------------------