TSTP Solution File: COM131+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : COM131+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n020.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 : Mon Jun 24 04:55:05 EDT 2024
% Result : Theorem 1.96s 0.77s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 26 unt; 0 def)
% Number of atoms : 248 ( 136 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 266 ( 83 ~; 115 |; 51 &)
% ( 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 : 24 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 250 ( 29 sgn 142 !; 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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','T-subst-abs-2') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','DIFF-var-abs') ).
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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','T-inv') ).
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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p',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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','T-Weak-FreeVar') ).
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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','T-Context-Swap') ).
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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','T-subst-IH-abs') ).
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/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p','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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-subst-abs-2'])]) ).
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,
! [X69,X70,X71] :
( ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| X69 = vvar(esk8_3(X69,X70,X71))
| ~ vtcheck(X71,X69,X70) )
& ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| X69 = vabs(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),esk10_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| X70 = varrow(esk11_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( X69 = vapp(esk13_3(X69,X70,X71),esk14_3(X69,X70,X71))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk13_3(X69,X70,X71),varrow(esk15_3(X69,X70,X71),X70))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) )
& ( vtcheck(X71,esk14_3(X69,X70,X71),esk15_3(X69,X70,X71))
| vtcheck(vbind(esk9_3(X69,X70,X71),esk11_3(X69,X70,X71),X71),esk10_3(X69,X70,X71),esk12_3(X69,X70,X71))
| vlookup(esk8_3(X69,X70,X71),X71) = vsomeType(X70)
| ~ vtcheck(X71,X69,X70) ) ),
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,
( esk3_0 != esk5_0
& ~ visFreeVar(esk5_0,esk4_0)
& vtcheck(esk2_0,esk4_0,esk1_0)
& vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,veabs),esk7_0)
& ~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,veabs)),esk7_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,
! [X187,X188,X189,X190,X191] : vabs(X187,X188,X189) != vapp(X190,X191),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_16,plain,
! [X183,X184,X185,X186] : vvar(X183) != vabs(X184,X185,X186),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_17,plain,
! [X177,X178,X179,X180,X181,X182] :
( ( X177 = X180
| vabs(X177,X178,X179) != vabs(X180,X181,X182) )
& ( X178 = X181
| vabs(X177,X178,X179) != vabs(X180,X181,X182) )
& ( X179 = X182
| vabs(X177,X178,X179) != vabs(X180,X181,X182) )
& ( X177 != X180
| X178 != X181
| X179 != X182
| vabs(X177,X178,X179) = vabs(X180,X181,X182) ) ),
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,
( X1 = vapp(esk13_3(X1,X2,X3),esk14_3(X1,X2,X3))
| X1 = vabs(esk9_3(X1,X2,X3),esk11_3(X1,X2,X3),esk10_3(X1,X2,X3))
| X1 = vvar(esk8_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,esk2_0),vabs(esk5_0,esk6_0,veabs),esk7_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,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
vabs(esk9_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)),esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)),esk10_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))) = vabs(esk5_0,esk6_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,
( esk9_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = X1
| vabs(esk5_0,esk6_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
esk9_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = esk5_0,
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_26,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
vabs(esk5_0,esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)),esk10_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))) = vabs(esk5_0,esk6_0,veabs),
inference(rw,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( esk10_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = X1
| vabs(esk5_0,esk6_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
esk10_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = veabs,
inference(er,[status(thm)],[c_0_28]) ).
fof(c_0_30,plain,
! [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)) ) ) ),
inference(fof_simplification,[status(thm)],[subst5]) ).
fof(c_0_31,plain,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar']) ).
cnf(c_0_32,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_33,negated_conjecture,
vabs(esk5_0,esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)),veabs) = vabs(esk5_0,esk6_0,veabs),
inference(rw,[status(thm)],[c_0_27,c_0_29]) ).
fof(c_0_34,plain,
! [X144,X145,X146,X147,X148,X149,X150,X151,X152] :
( X144 != X150
| X145 != X151
| X146 != vabs(X148,X149,X152)
| X150 = X148
| visFreeVar(X148,X151)
| X147 != vsubst(X144,X145,X146)
| X147 = vabs(X148,X149,vsubst(X150,X151,X152)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_35,plain,
! [X90,X91,X92,X93,X94] :
( visFreeVar(X90,X93)
| ~ vtcheck(X92,X93,X94)
| vtcheck(vbind(X90,X91,X92),X93,X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_36,plain,
! [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) ),
inference(fof_simplification,[status(thm)],['T-Context-Swap']) ).
cnf(c_0_37,negated_conjecture,
( esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = X1
| vabs(esk5_0,esk6_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,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_34]) ).
fof(c_0_39,plain,
! [X237,X238,X239,X240,X241] :
( ~ vtcheck(X238,X240,X237)
| ~ vtcheck(vbind(X239,X237,X238),veabs,X241)
| vtcheck(X238,vsubst(X239,X240,veabs),X241) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-abs'])])]) ).
cnf(c_0_40,plain,
( visFreeVar(X1,X2)
| vtcheck(vbind(X1,X5,X3),X2,X4)
| ~ vtcheck(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
vtcheck(esk2_0,esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_42,plain,
! [X49,X50,X51,X52,X53,X54,X55] :
( X51 = X49
| ~ vtcheck(vbind(X51,X52,vbind(X49,X50,X53)),X54,X55)
| vtcheck(vbind(X49,X50,vbind(X51,X52,X53)),X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_43,plain,
( X1 = vapp(esk13_3(X1,X2,X3),esk14_3(X1,X2,X3))
| vtcheck(vbind(esk9_3(X1,X2,X3),esk11_3(X1,X2,X3),X3),esk10_3(X1,X2,X3),esk12_3(X1,X2,X3))
| X1 = vvar(esk8_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)) = esk6_0,
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_45,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_38])]) ).
cnf(c_0_46,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_39]) ).
cnf(c_0_47,negated_conjecture,
( vtcheck(vbind(X1,X2,esk2_0),esk4_0,esk1_0)
| visFreeVar(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,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_42]) ).
cnf(c_0_49,negated_conjecture,
vtcheck(vbind(esk5_0,esk6_0,vbind(esk3_0,esk1_0,esk2_0)),veabs,esk12_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_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_43,c_0_19]),c_0_20]),c_0_21]),c_0_25]),c_0_44]),c_0_29]) ).
cnf(c_0_50,negated_conjecture,
esk3_0 != esk5_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_51,plain,
( X1 = vapp(esk13_3(X1,X2,X3),esk14_3(X1,X2,X3))
| X2 = varrow(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3))
| X1 = vvar(esk8_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,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_45]) ).
fof(c_0_53,plain,
! [X59,X60,X61,X62,X63] :
( ~ vtcheck(vbind(X60,X62,X59),X61,X63)
| vtcheck(X59,vabs(X60,X62,X61),varrow(X62,X63)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])])]) ).
cnf(c_0_54,negated_conjecture,
( vtcheck(vbind(X1,X2,esk2_0),vsubst(X3,esk4_0,veabs),X4)
| visFreeVar(X1,esk4_0)
| ~ vtcheck(vbind(X3,esk1_0,vbind(X1,X2,esk2_0)),veabs,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
vtcheck(vbind(esk3_0,esk1_0,vbind(esk5_0,esk6_0,esk2_0)),veabs,esk12_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ visFreeVar(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_57,negated_conjecture,
varrow(esk11_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0)),esk12_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))) = esk7_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_58,negated_conjecture,
~ vtcheck(esk2_0,vsubst(esk3_0,esk4_0,vabs(esk5_0,esk6_0,veabs)),esk7_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_59,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_52]) ).
cnf(c_0_60,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
vtcheck(vbind(esk5_0,esk6_0,esk2_0),vsubst(esk3_0,esk4_0,veabs),esk12_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
varrow(esk6_0,esk12_3(vabs(esk5_0,esk6_0,veabs),esk7_0,vbind(esk3_0,esk1_0,esk2_0))) = esk7_0,
inference(rw,[status(thm)],[c_0_57,c_0_44]) ).
cnf(c_0_63,negated_conjecture,
~ vtcheck(esk2_0,vabs(esk5_0,esk6_0,vsubst(esk3_0,esk4_0,veabs)),esk7_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_50]),c_0_56]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM131+1 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 23:43:54 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NLLX2rpJo7/E---3.1_15143.p
% 1.96/0.77 # Version: 3.2.0
% 1.96/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.96/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.96/0.77 # Starting new_bool_3 with 300s (1) cores
% 1.96/0.77 # Starting new_bool_1 with 300s (1) cores
% 1.96/0.77 # Starting sh5l with 300s (1) cores
% 1.96/0.77 # sh5l with pid 15223 completed with status 0
% 1.96/0.77 # Result found by sh5l
% 1.96/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.96/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.96/0.77 # Starting new_bool_3 with 300s (1) cores
% 1.96/0.77 # Starting new_bool_1 with 300s (1) cores
% 1.96/0.77 # Starting sh5l with 300s (1) cores
% 1.96/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.96/0.77 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.96/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.96/0.77 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 181s (1) cores
% 1.96/0.77 # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 15231 completed with status 0
% 1.96/0.77 # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 1.96/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.96/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.96/0.77 # Starting new_bool_3 with 300s (1) cores
% 1.96/0.77 # Starting new_bool_1 with 300s (1) cores
% 1.96/0.77 # Starting sh5l with 300s (1) cores
% 1.96/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.96/0.77 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.96/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.96/0.77 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 181s (1) cores
% 1.96/0.77 # Preprocessing time : 0.009 s
% 1.96/0.77 # Presaturation interreduction done
% 1.96/0.77
% 1.96/0.77 # Proof found!
% 1.96/0.77 # SZS status Theorem
% 1.96/0.77 # SZS output start CNFRefutation
% See solution above
% 1.96/0.77 # Parsed axioms : 60
% 1.96/0.77 # Removed by relevancy pruning/SinE : 1
% 1.96/0.77 # Initial clauses : 427
% 1.96/0.77 # Removed in clause preprocessing : 13
% 1.96/0.77 # Initial clauses in saturation : 414
% 1.96/0.77 # Processed clauses : 1649
% 1.96/0.77 # ...of these trivial : 48
% 1.96/0.77 # ...subsumed : 336
% 1.96/0.77 # ...remaining for further processing : 1265
% 1.96/0.77 # Other redundant clauses eliminated : 126
% 1.96/0.77 # Clauses deleted for lack of memory : 0
% 1.96/0.77 # Backward-subsumed : 5
% 1.96/0.77 # Backward-rewritten : 22
% 1.96/0.77 # Generated clauses : 10678
% 1.96/0.77 # ...of the previous two non-redundant : 10215
% 1.96/0.77 # ...aggressively subsumed : 0
% 1.96/0.77 # Contextual simplify-reflections : 4
% 1.96/0.77 # Paramodulations : 10378
% 1.96/0.77 # Factorizations : 0
% 1.96/0.77 # NegExts : 0
% 1.96/0.77 # Equation resolutions : 311
% 1.96/0.77 # Disequality decompositions : 0
% 1.96/0.77 # Total rewrite steps : 407
% 1.96/0.77 # ...of those cached : 255
% 1.96/0.77 # Propositional unsat checks : 0
% 1.96/0.77 # Propositional check models : 0
% 1.96/0.77 # Propositional check unsatisfiable : 0
% 1.96/0.77 # Propositional clauses : 0
% 1.96/0.77 # Propositional clauses after purity: 0
% 1.96/0.77 # Propositional unsat core size : 0
% 1.96/0.77 # Propositional preprocessing time : 0.000
% 1.96/0.77 # Propositional encoding time : 0.000
% 1.96/0.77 # Propositional solver time : 0.000
% 1.96/0.77 # Success case prop preproc time : 0.000
% 1.96/0.77 # Success case prop encoding time : 0.000
% 1.96/0.77 # Success case prop solver time : 0.000
% 1.96/0.77 # Current number of processed clauses : 845
% 1.96/0.77 # Positive orientable unit clauses : 92
% 1.96/0.77 # Positive unorientable unit clauses: 2
% 1.96/0.77 # Negative unit clauses : 47
% 1.96/0.77 # Non-unit-clauses : 704
% 1.96/0.77 # Current number of unprocessed clauses: 9245
% 1.96/0.77 # ...number of literals in the above : 35318
% 1.96/0.77 # Current number of archived formulas : 0
% 1.96/0.77 # Current number of archived clauses : 401
% 1.96/0.77 # Clause-clause subsumption calls (NU) : 119233
% 1.96/0.77 # Rec. Clause-clause subsumption calls : 35822
% 1.96/0.77 # Non-unit clause-clause subsumptions : 303
% 1.96/0.77 # Unit Clause-clause subsumption calls : 5116
% 1.96/0.77 # Rewrite failures with RHS unbound : 176
% 1.96/0.77 # BW rewrite match attempts : 495
% 1.96/0.77 # BW rewrite match successes : 20
% 1.96/0.77 # Condensation attempts : 0
% 1.96/0.77 # Condensation successes : 0
% 1.96/0.77 # Termbank termtop insertions : 349082
% 1.96/0.77 # Search garbage collected termcells : 4109
% 1.96/0.77
% 1.96/0.77 # -------------------------------------------------
% 1.96/0.77 # User time : 0.268 s
% 1.96/0.77 # System time : 0.006 s
% 1.96/0.77 # Total time : 0.275 s
% 1.96/0.77 # Maximum resident set size: 2864 pages
% 1.96/0.77
% 1.96/0.77 # -------------------------------------------------
% 1.96/0.77 # User time : 0.272 s
% 1.96/0.77 # System time : 0.009 s
% 1.96/0.77 # Total time : 0.280 s
% 1.96/0.77 # Maximum resident set size: 1812 pages
% 1.96/0.77 % E---3.1 exiting
% 1.96/0.77 % E exiting
%------------------------------------------------------------------------------