TSTP Solution File: COM136+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM136+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 01:14:31 EDT 2022
% Result : Theorem 0.50s 46.69s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 23 unt; 0 def)
% Number of atoms : 233 ( 124 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 249 ( 77 ~; 117 |; 43 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 211 ( 40 sgn 112 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Strong-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Strong-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/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof(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/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof('T-Strong-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(vbind(X9,X10,X20),veabs,X15) )
=> vtcheck(X20,veabs,X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Strong-abs-IH') ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Strong-abs']) ).
fof(c_0_11,plain,
! [X35,X36,X37] :
( ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| X35 = vvar(esk24_3(X35,X36,X37))
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) )
& ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
| vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
| vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
| ~ vtcheck(X37,X35,X36) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])])]) ).
fof(c_0_12,negated_conjecture,
( ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])]) ).
fof(c_0_13,plain,
! [X8,X9,X10,X11,X12] : vabs(X8,X9,X10) != vapp(X11,X12),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8] : vvar(X5) != vabs(X6,X7,X8),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_15,plain,
! [X7,X8,X9,X10,X11,X12,X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X8 = X11
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X9 = X12
| vabs(X7,X8,X9) != vabs(X10,X11,X12) )
& ( X7 != X10
| X8 != X11
| X9 != X12
| vabs(X7,X8,X9) = vabs(X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])])]) ).
cnf(c_0_16,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( X1 = X4
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_24,plain,
( X2 = X5
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk36_0,
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_28,plain,
( X3 = X6
| vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
vabs(esk35_0,esk36_0,esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( X1 = esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))
| vabs(X2,X3,X1) != vabs(esk35_0,esk36_0,veabs) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_31,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( X26 = X24
| ~ vtcheck(vbind(X26,X27,vbind(X24,X25,X28)),X29,X30)
| vtcheck(vbind(X24,X25,vbind(X26,X27,X28)),X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(c_0_32,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = veabs,
inference(er,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X16,X17,X18,X19,X20,X21] :
( ( X19 = X20
| ~ visFreeVar(X20,X21)
| visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) )
& ( X19 != X20
| ~ visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) )
& ( visFreeVar(X20,X21)
| ~ visFreeVar(X17,X18)
| X17 != X20
| X18 != vabs(X19,X16,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(c_0_35,plain,
! [X21,X22,X23,X24] :
( visFreeVar(X21,veabs)
| ~ vtcheck(vbind(X21,X22,X23),veabs,X24)
| vtcheck(X23,veabs,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Strong-abs-IH'])])]) ).
cnf(c_0_36,plain,
( vtcheck(vbind(X1,X2,vbind(X3,X4,X5)),X6,X7)
| X3 = X1
| ~ vtcheck(vbind(X3,X4,vbind(X1,X2,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_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_32,c_0_17]),c_0_18]),c_0_19]),c_0_23]),c_0_27]),c_0_33]) ).
cnf(c_0_38,plain,
( X2 = vvar(esk24_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,plain,
( visFreeVar(X5,X1)
| X2 = X6
| X1 != vabs(X2,X3,X4)
| X5 != X6
| ~ visFreeVar(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X21,X22,X23,X24,X25] :
( ~ vtcheck(vbind(X22,X24,X21),X23,X25)
| vtcheck(X21,vabs(X22,X24,X23),varrow(X24,X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(c_0_41,plain,
( vtcheck(X1,veabs,X2)
| visFreeVar(X3,veabs)
| ~ vtcheck(vbind(X3,X4,X1),veabs,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( esk32_0 = esk35_0
| vtcheck(vbind(esk32_0,esk33_0,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_44,plain,
( X1 = X2
| visFreeVar(X2,X3)
| X3 != vabs(X1,X4,X5)
| ~ visFreeVar(X2,X5) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
| ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( esk32_0 = esk35_0
| vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)))
| visFreeVar(esk32_0,veabs) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(rw,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_48,negated_conjecture,
~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_49,plain,
( X1 = X2
| visFreeVar(X2,vabs(X1,X3,X4))
| ~ visFreeVar(X2,X4) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( esk32_0 = esk35_0
| visFreeVar(esk32_0,veabs) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).
fof(c_0_51,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( X26 != X24
| ~ vtcheck(vbind(X26,X27,vbind(X24,X25,X28)),X29,X30)
| vtcheck(vbind(X26,X27,X28),X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(c_0_52,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_53,negated_conjecture,
( esk32_0 = esk35_0
| X1 = esk32_0
| visFreeVar(esk32_0,vabs(X1,X2,veabs)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( vtcheck(vbind(X1,X2,X3),X4,X5)
| ~ vtcheck(vbind(X1,X2,vbind(X6,X7,X3)),X4,X5)
| X1 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
esk32_0 = esk35_0,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( vtcheck(vbind(X1,X2,X3),X4,X5)
| ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_57,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk35_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_55]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))) = esk37_0,
inference(rw,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_59]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM136+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 19:39:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.41
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.50/46.43 eprover: CPU time limit exceeded, terminating
% 0.50/46.44 eprover: CPU time limit exceeded, terminating
% 0.50/46.44 eprover: CPU time limit exceeded, terminating
% 0.50/46.45 eprover: CPU time limit exceeded, terminating
% 0.50/46.69 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.50/46.69
% 0.50/46.69 # Failure: Resource limit exceeded (time)
% 0.50/46.69 # OLD status Res
% 0.50/46.69 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.50/46.69 # Preprocessing time : 0.018 s
% 0.50/46.69 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.50/46.69 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.50/46.69 # Preprocessing time : 0.010 s
% 0.50/46.69
% 0.50/46.69 # Failure: Out of unprocessed clauses!
% 0.50/46.69 # OLD status GaveUp
% 0.50/46.69 # Parsed axioms : 57
% 0.50/46.69 # Removed by relevancy pruning/SinE : 47
% 0.50/46.69 # Initial clauses : 23
% 0.50/46.69 # Removed in clause preprocessing : 2
% 0.50/46.69 # Initial clauses in saturation : 21
% 0.50/46.69 # Processed clauses : 53
% 0.50/46.69 # ...of these trivial : 0
% 0.50/46.69 # ...subsumed : 0
% 0.50/46.69 # ...remaining for further processing : 53
% 0.50/46.69 # Other redundant clauses eliminated : 13
% 0.50/46.69 # Clauses deleted for lack of memory : 0
% 0.50/46.69 # Backward-subsumed : 0
% 0.50/46.69 # Backward-rewritten : 0
% 0.50/46.69 # Generated clauses : 43
% 0.50/46.69 # ...of the previous two non-trivial : 32
% 0.50/46.69 # Contextual simplify-reflections : 0
% 0.50/46.69 # Paramodulations : 17
% 0.50/46.69 # Factorizations : 0
% 0.50/46.69 # Equation resolutions : 29
% 0.50/46.69 # Current number of processed clauses : 43
% 0.50/46.69 # Positive orientable unit clauses : 2
% 0.50/46.69 # Positive unorientable unit clauses: 0
% 0.50/46.69 # Negative unit clauses : 3
% 0.50/46.69 # Non-unit-clauses : 38
% 0.50/46.69 # Current number of unprocessed clauses: 0
% 0.50/46.69 # ...number of literals in the above : 0
% 0.50/46.69 # Current number of archived formulas : 0
% 0.50/46.69 # Current number of archived clauses : 0
% 0.50/46.69 # Clause-clause subsumption calls (NU) : 262
% 0.50/46.69 # Rec. Clause-clause subsumption calls : 209
% 0.50/46.69 # Non-unit clause-clause subsumptions : 0
% 0.50/46.69 # Unit Clause-clause subsumption calls : 5
% 0.50/46.69 # Rewrite failures with RHS unbound : 0
% 0.50/46.69 # BW rewrite match attempts : 0
% 0.50/46.69 # BW rewrite match successes : 0
% 0.50/46.69 # Condensation attempts : 0
% 0.50/46.69 # Condensation successes : 0
% 0.50/46.69 # Termbank termtop insertions : 3013
% 0.50/46.69
% 0.50/46.69 # -------------------------------------------------
% 0.50/46.69 # User time : 0.009 s
% 0.50/46.69 # System time : 0.002 s
% 0.50/46.69 # Total time : 0.011 s
% 0.50/46.69 # Maximum resident set size: 2868 pages
% 0.50/46.69 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.50/46.69
% 0.50/46.69 # Failure: Resource limit exceeded (time)
% 0.50/46.69 # OLD status Res
% 0.50/46.69 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.50/46.69 # Preprocessing time : 0.010 s
% 0.50/46.69 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.50/46.69 # Preprocessing time : 0.017 s
% 0.50/46.69
% 0.50/46.69 # Proof found!
% 0.50/46.69 # SZS status Theorem
% 0.50/46.69 # SZS output start CNFRefutation
% See solution above
% 0.50/46.69 # Proof object total steps : 61
% 0.50/46.69 # Proof object clause steps : 40
% 0.50/46.69 # Proof object formula steps : 21
% 0.50/46.69 # Proof object conjectures : 27
% 0.50/46.69 # Proof object clause conjectures : 24
% 0.50/46.69 # Proof object formula conjectures : 3
% 0.50/46.69 # Proof object initial clauses used : 16
% 0.50/46.69 # Proof object initial formulas used : 10
% 0.50/46.69 # Proof object generating inferences : 17
% 0.50/46.69 # Proof object simplifying inferences : 21
% 0.50/46.69 # Training examples: 0 positive, 0 negative
% 0.50/46.69 # Parsed axioms : 57
% 0.50/46.69 # Removed by relevancy pruning/SinE : 0
% 0.50/46.69 # Initial clauses : 420
% 0.50/46.69 # Removed in clause preprocessing : 10
% 0.50/46.69 # Initial clauses in saturation : 410
% 0.50/46.69 # Processed clauses : 578
% 0.50/46.69 # ...of these trivial : 5
% 0.50/46.69 # ...subsumed : 84
% 0.50/46.69 # ...remaining for further processing : 489
% 0.50/46.69 # Other redundant clauses eliminated : 35
% 0.50/46.69 # Clauses deleted for lack of memory : 0
% 0.50/46.69 # Backward-subsumed : 1
% 0.50/46.69 # Backward-rewritten : 44
% 0.50/46.69 # Generated clauses : 848
% 0.50/46.69 # ...of the previous two non-trivial : 827
% 0.50/46.69 # Contextual simplify-reflections : 0
% 0.50/46.69 # Paramodulations : 710
% 0.50/46.69 # Factorizations : 0
% 0.50/46.69 # Equation resolutions : 149
% 0.50/46.69 # Current number of processed clauses : 426
% 0.50/46.69 # Positive orientable unit clauses : 34
% 0.50/46.69 # Positive unorientable unit clauses: 0
% 0.50/46.69 # Negative unit clauses : 20
% 0.50/46.69 # Non-unit-clauses : 372
% 0.50/46.69 # Current number of unprocessed clauses: 497
% 0.50/46.69 # ...number of literals in the above : 1485
% 0.50/46.69 # Current number of archived formulas : 0
% 0.50/46.69 # Current number of archived clauses : 45
% 0.50/46.69 # Clause-clause subsumption calls (NU) : 11004
% 0.50/46.69 # Rec. Clause-clause subsumption calls : 1902
% 0.50/46.69 # Non-unit clause-clause subsumptions : 72
% 0.50/46.69 # Unit Clause-clause subsumption calls : 2985
% 0.50/46.69 # Rewrite failures with RHS unbound : 0
% 0.50/46.69 # BW rewrite match attempts : 28
% 0.50/46.69 # BW rewrite match successes : 11
% 0.50/46.69 # Condensation attempts : 0
% 0.50/46.69 # Condensation successes : 0
% 0.50/46.69 # Termbank termtop insertions : 63533
% 0.50/46.69
% 0.50/46.69 # -------------------------------------------------
% 0.50/46.69 # User time : 0.036 s
% 0.50/46.69 # System time : 0.003 s
% 0.50/46.69 # Total time : 0.039 s
% 0.50/46.69 # Maximum resident set size: 5120 pages
%------------------------------------------------------------------------------