TSTP Solution File: COM123+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COM123+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 07:30:58 EDT 2024
% Result : Theorem 1.60s 0.68s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 23 unt; 0 def)
% Number of atoms : 235 ( 126 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 256 ( 80 ~; 109 |; 51 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 205 ( 34 sgn 118 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs-1',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p','T-Weak-FreeVar-abs-1') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.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/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.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/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p','EQ-abs') ).
fof('T-Weak-FreeVar-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p','T-Weak-FreeVar-abs-IH') ).
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/tmp/tmp.DUncH33py9/E---3.1_15518.p','T-Context-Swap') ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p',isFreeVar1) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p','T-abs') ).
fof(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs-1'])]) ).
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,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
inference(fof_simplification,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_12,plain,
! [X286,X287,X288] :
( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) ) ),
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,
( esk32_0 != esk35_0
& ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_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,
! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_15,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_16,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( X38 = X41
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X39 = X42
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X40 = X43
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X38 != X41
| X39 != X42
| X40 != X43
| vabs(X38,X39,X40) = vabs(X41,X42,X43) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])]) ).
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,vabs(esk35_0,esk36_0,veabs),esk37_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) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_25,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_22,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_29,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),veabs) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_26,c_0_28]) ).
fof(c_0_31,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-IH']) ).
cnf(c_0_32,negated_conjecture,
( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_33,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']) ).
fof(c_0_34,plain,
! [X307,X308,X309,X310] :
( visFreeVar(X307,veabs)
| ~ vtcheck(X309,veabs,X310)
| vtcheck(vbind(X307,X308,X309),veabs,X310) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_35,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_12]) ).
cnf(c_0_36,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
inference(er,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X139,X140,X141,X142,X143,X144,X145] :
( X141 = X139
| ~ vtcheck(vbind(X141,X142,vbind(X139,X140,X143)),X144,X145)
| vtcheck(vbind(X139,X140,vbind(X141,X142,X143)),X144,X145) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_38,plain,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X4,X2),veabs,X3)
| ~ vtcheck(X2,veabs,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_19]),c_0_20]),c_0_24]),c_0_36]),c_0_28]) ).
cnf(c_0_40,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_12]) ).
fof(c_0_41,plain,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
inference(fof_simplification,[status(thm)],[isFreeVar1]) ).
fof(c_0_42,plain,
! [X276,X277,X278,X279,X280] :
( ~ vtcheck(vbind(X277,X279,X276),X278,X280)
| vtcheck(X276,vabs(X277,X279,X278),varrow(X279,X280)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])])]) ).
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(X1,X2,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_18]),c_0_19]),c_0_20]) ).
fof(c_0_46,plain,
! [X73,X74,X75,X76,X77,X78] :
( ( X76 = X77
| ~ visFreeVar(X77,X78)
| visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) )
& ( X76 != X77
| ~ visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) )
& ( visFreeVar(X77,X78)
| ~ visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
cnf(c_0_47,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk35_0
| vtcheck(vbind(esk35_0,esk36_0,vbind(X1,X2,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(rw,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_50,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk35_0
| vtcheck(vbind(X1,X2,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
| visFreeVar(X1,veabs) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
esk32_0 != esk35_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_54,plain,
( X1 = X2
| visFreeVar(X2,vabs(X1,X3,X4))
| ~ visFreeVar(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_50])]) ).
cnf(c_0_55,negated_conjecture,
visFreeVar(esk32_0,veabs),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_56,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk32_0
| visFreeVar(esk32_0,vabs(X1,X2,veabs)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM123+1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n008.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 17:23:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.DUncH33py9/E---3.1_15518.p
% 1.60/0.68 # Version: 3.1.0
% 1.60/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.60/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.60/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.60/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.60/0.68 # Starting sh5l with 300s (1) cores
% 1.60/0.68 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15607 completed with status 0
% 1.60/0.68 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.60/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.60/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.60/0.68 # No SInE strategy applied
% 1.60/0.68 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.60/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.60/0.68 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 1.60/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.60/0.68 # Starting new_bool_3 with 136s (1) cores
% 1.60/0.68 # Starting new_bool_1 with 136s (1) cores
% 1.60/0.68 # Starting sh5l with 136s (1) cores
% 1.60/0.68 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15627 completed with status 0
% 1.60/0.68 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.60/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.60/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.60/0.68 # No SInE strategy applied
% 1.60/0.68 # Search class: FGHSF-FSLF32-MFFFFFNN
% 1.60/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.60/0.68 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 1.60/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.60/0.68 # Preprocessing time : 0.008 s
% 1.60/0.68 # Presaturation interreduction done
% 1.60/0.68
% 1.60/0.68 # Proof found!
% 1.60/0.68 # SZS status Theorem
% 1.60/0.68 # SZS output start CNFRefutation
% See solution above
% 1.60/0.68 # Parsed axioms : 58
% 1.60/0.68 # Removed by relevancy pruning/SinE : 0
% 1.60/0.68 # Initial clauses : 425
% 1.60/0.68 # Removed in clause preprocessing : 13
% 1.60/0.68 # Initial clauses in saturation : 412
% 1.60/0.68 # Processed clauses : 1068
% 1.60/0.68 # ...of these trivial : 36
% 1.60/0.68 # ...subsumed : 82
% 1.60/0.68 # ...remaining for further processing : 950
% 1.60/0.68 # Other redundant clauses eliminated : 310
% 1.60/0.68 # Clauses deleted for lack of memory : 0
% 1.60/0.68 # Backward-subsumed : 0
% 1.60/0.68 # Backward-rewritten : 47
% 1.60/0.68 # Generated clauses : 2584
% 1.60/0.68 # ...of the previous two non-redundant : 2362
% 1.60/0.68 # ...aggressively subsumed : 0
% 1.60/0.68 # Contextual simplify-reflections : 0
% 1.60/0.68 # Paramodulations : 2309
% 1.60/0.68 # Factorizations : 0
% 1.60/0.68 # NegExts : 0
% 1.60/0.68 # Equation resolutions : 327
% 1.60/0.68 # Disequality decompositions : 0
% 1.60/0.68 # Total rewrite steps : 245
% 1.60/0.68 # ...of those cached : 200
% 1.60/0.68 # Propositional unsat checks : 0
% 1.60/0.68 # Propositional check models : 0
% 1.60/0.68 # Propositional check unsatisfiable : 0
% 1.60/0.68 # Propositional clauses : 0
% 1.60/0.68 # Propositional clauses after purity: 0
% 1.60/0.68 # Propositional unsat core size : 0
% 1.60/0.68 # Propositional preprocessing time : 0.000
% 1.60/0.68 # Propositional encoding time : 0.000
% 1.60/0.68 # Propositional solver time : 0.000
% 1.60/0.68 # Success case prop preproc time : 0.000
% 1.60/0.68 # Success case prop encoding time : 0.000
% 1.60/0.68 # Success case prop solver time : 0.000
% 1.60/0.68 # Current number of processed clauses : 437
% 1.60/0.68 # Positive orientable unit clauses : 39
% 1.60/0.68 # Positive unorientable unit clauses: 0
% 1.60/0.68 # Negative unit clauses : 25
% 1.60/0.68 # Non-unit-clauses : 373
% 1.60/0.68 # Current number of unprocessed clauses: 2053
% 1.60/0.68 # ...number of literals in the above : 7848
% 1.60/0.68 # Current number of archived formulas : 0
% 1.60/0.68 # Current number of archived clauses : 419
% 1.60/0.68 # Clause-clause subsumption calls (NU) : 55451
% 1.60/0.68 # Rec. Clause-clause subsumption calls : 12965
% 1.60/0.68 # Non-unit clause-clause subsumptions : 62
% 1.60/0.68 # Unit Clause-clause subsumption calls : 3800
% 1.60/0.68 # Rewrite failures with RHS unbound : 0
% 1.60/0.68 # BW rewrite match attempts : 22
% 1.60/0.68 # BW rewrite match successes : 5
% 1.60/0.68 # Condensation attempts : 0
% 1.60/0.68 # Condensation successes : 0
% 1.60/0.68 # Termbank termtop insertions : 106285
% 1.60/0.68 # Search garbage collected termcells : 4022
% 1.60/0.68
% 1.60/0.68 # -------------------------------------------------
% 1.60/0.68 # User time : 0.157 s
% 1.60/0.68 # System time : 0.008 s
% 1.60/0.68 # Total time : 0.165 s
% 1.60/0.68 # Maximum resident set size: 2864 pages
% 1.60/0.68
% 1.60/0.68 # -------------------------------------------------
% 1.60/0.68 # User time : 0.721 s
% 1.60/0.68 # System time : 0.018 s
% 1.60/0.68 # Total time : 0.738 s
% 1.60/0.68 # Maximum resident set size: 1816 pages
% 1.60/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------